diff --git "a/data/dm_maths/full_data_2/10896_11255.jsonl" "b/data/dm_maths/full_data_2/10896_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10896_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -2 + 32 = 2*r. Suppose 10 = 3*w + 7. Solve -4*i + 16 = 0, -3*j + r + w = i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**2 - 25*z - 274. Determine s(-15).\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + c + 6. Let r be d(-5). Let n be ((-6)\/(-4))\/(3\/4). Suppose -n*i = -g - g + r, g = 3*i + 23. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-42)\/(-11) + 6\/33. Sort k, -4, -274.\nAnswer: -274, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 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: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.43 - 0?\nAnswer: 17.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.408988 rounded to 3 decimal places?\nAnswer: -5.409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 + 1150. Calculate the highest common factor of j and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**3\/6 + v. Let y(k) = k**3 - 19*k**2 + k - 15. Let j be y(19). Let c(h) = 4*h + h**2 - j*h**2 - 4*h. Calculate c(b(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 90457, 118824, 147191, 175558, 203925?\n\"Answer: 28367*i + 62090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -301820000 rounded to the nearest 1000000?\nAnswer: -302000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-64608)\/64)\/(3\/(-2)). Let t = m + -658. Let k(b) = 9*b - 3. Calculate the remainder when k(3) is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbb when three letters picked without replacement from bblbllbb.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/60 and 91\/1695.\nAnswer: 6780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 - 13.55.\nAnswer: -13.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32266, -32270, -32274, -32278?\n\"Answer: -4*l - 32262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3336333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 433, 953, 1677?\nAnswer: 2605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -119\/2 - -58. What is the third smallest value in 0.5, b, 3\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**2 - 99*q**2 + 26*q**2 + 24*q**2 + 29*q**2 - 8*q**3.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (0 + -2 - (38 + (28 - 67))) + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-41)*x\/((x\/((x*x\/(x\/(x*x**(2\/45))))\/x*x))\/x*x) assuming x is positive.\nAnswer: x**(-1753\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006746982 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338930.64 + -7.\nAnswer: -338937.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 68.18282 micrograms?\nAnswer: 0.00006818282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3913 by -31.\nAnswer: -3913\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 661, 1317, 1973, 2629?\nAnswer: 3285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f + 10*f - 2*f - 6*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13909?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65 (base 13) to base 12.\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-28)\/168)\/(2*3\/(-9)). Which is greater: l or 12.33?\nAnswer: 12.33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 v when four letters picked without replacement from {v: 2, d: 1, j: 3, p: 3, k: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -108. Let p = 88 + s. Let m = 58.1 - p. What is m rounded to zero decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + -28. Let q be p\/36*48\/2. List the prime factors of (-270)\/q*2*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 155 = 3*l. Let q = -20 + l. Let f(w) = 16*w - q*w + 0*w - 3. Give f(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -9*b**5\/20 + 7*b**4\/4 + 138*b**2 - 155*b. What is the derivative of w(t) wrt t?\nAnswer: -27*t**2 + 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -848, -1714, -2582, -3452, -4324, -5198, -6074?\n\"Answer: -f**2 - 863*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 809590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) -0.01 (b) 6.72 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/88 and -7\/152.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 2 - 2 + 5*w. Let n be k(4). List the prime factors of (-6)\/(-4)*n\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**4\/24 - l**2. Let m(w) = -4*w**2 + 12*w - 3. Let v(j) = -4*j**2 + 4*j - 1. Let d(z) = m(z) - 3*v(z). What is b(d(r))?\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 683025.4 years to millennia.\nAnswer: 683.0254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (0 + 9)) + 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/12 - 5\/6. Is 1 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -152312660 and 1.64125.\nAnswer: -152312658.35875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 9*h**2 - 10*h + 16. Suppose 6 = -2*q, -332*j + 2*q = -335*j + 300. Calculate the remainder when j is divided by w(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 21 = 5*y, -3*x - 4*y = -0*y - 66. Let w = x + 17. Suppose 23 = r - 3*u, -r + 57 = 2*r - 5*u. What is the greatest common factor of r and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/21)*a)\/(a**(-7\/5)*a)*a**(2\/9)\/a*a*a**(-17) assuming a is positive.\nAnswer: a**(-4499\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1155554398?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**2 - 9. Let m(y) = 10*y - 36. Let d be m(3). Let n(o) = o. Let r(l) = -l**2 - 5*l - 2. Let k(x) = 10*n(x) + 2*r(x). Calculate d*w(q) + 13*k(q).\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -5, 1\/2, -4, -61?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -605885843*b**2*r**3 + 1509*b**2*r + 10*b*r + 297*r wrt r?\nAnswer: -3635315058*b**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.25 + -1.15. Which is the nearest to 5? (a) 1 (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 16*d**2 + 7*d - 11. Calculate t(3).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 + 164. Suppose p + p = 80. Calculate the highest common divisor of u and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 345a + -d?\nAnswer: 344d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -262243494*h**2 + 355888818 wrt h.\nAnswer: -524486988*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79456 (base 15) to base 13.\nAnswer: 106758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 22. Let p(s) = -s**3 + 3*s**2 + 10*s. Let y be p(a). Let j be 1\/3*0 - -2. Solve -2*w = -j*x + w + 2, -w + 2 = y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 5*w**2 - 155*w - 216. What is c(-15)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220640811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7\/4, 0.0002, -1\/4, -2\/13?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvdvvvvv. Give prob of sequence ddvv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**2 - 16*p - 101. Does 25 divide j(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 796 = 4*z + 248, p = 0. Let j = 264 - z. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9\/4, 16, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*h**2*j - 80*h**2 + 7*j**3 + 13 wrt j.\nAnswer: 48*h**2 + 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.64 - -31.64. Which is the nearest to 13\/5? (a) -0.5 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.54062 or -1\/17?\nAnswer: -0.54062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 100 and 11.2.\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.21 - -0.09. Let m(x) = x**2 + 5*x - 1. Let a be m(-4). What is the biggest value in a, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 23, -169 in ascending order.\nAnswer: -169, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 + 0.22. Sort -1.2, w, -2\/5 in descending order.\nAnswer: w, -2\/5, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -880*a + 770*a**3 - 64 - 226*a**2 - 44*a**4 - 2687*a**2 - 21*a**4 + 16*a**4 = 0. Calculate a.\nAnswer: -1\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21252 and 7392?\nAnswer: 170016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118 + 55. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1369\/111)\/(((-21)\/216)\/(-7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-5)*(-4127970)\/1386?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 531384027.62 - 7882.\nAnswer: 531376145.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435 = 2*w - 2*v + 437, 5*w = -3*v - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j - 1. Let s be t(-1). Let q be (-2)\/s + 15\/6. Suppose 0*x + 153 = q*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 166 - 24. Let q = -42 + f. Is q a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 - -0.05. Let q = 5000\/187829 - -2\/2573. Is p bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 16) to base 5\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 471, -5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 4*h - 5*t + 40, 4*t = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 997261.\nAnswer: 37, 26953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 36223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 9*g + 13. Let o be x(-13). Let a = -50 + o. Calculate the remainder when 58 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23836060?\nAnswer: 2, 5, 863, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/(17\/68). Let t(n) = 7*n**2 - 11*n + 3. Let a be t(j). Suppose p = a*p - 196000000. What is p rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-279)\/62*-8*(-2)\/12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**2 - 56 + 11*c**2 - 26 - 25*c**2.\nAnswer: c**2 - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t\/(t\/t**(-1\/14)))\/t)\/t*t\/t**6)\/(t*t**(-1\/6)*t*t**(-6)))**(2\/47) assuming t is positive.\nAnswer: t**(-80\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110 - 75. Suppose k = 0, 10*n + k + 10 = 15*n. Suppose n*o - 4*b - 3 = z, -12 = -o - 5*b. What is the remainder when 32 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 1. Solve -2 + 5 = -m + b*n, 2*n = 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 19. What is the highest common divisor of 21 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 4209618?\nAnswer: 8419236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (3*sqrt(363))\/sqrt(11))\/((sqrt(110)*-1)\/sqrt(10)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 4*i - i)*(-24*i - 14*i + 98*i - 4750*i**3 - 60*i - 15620*i**3).\nAnswer: -40740*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22232375 and 222.\nAnswer: 133394250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 380976.9 centuries in decades?\nAnswer: 3809769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdpptpp. Give prob of sequence pp.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141494431?\nAnswer: 13, 10884187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 4, 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 1 - 1)*(-2*g + 6*g + 0*g) - 302*g + 53 - 36 - 19)*(-g + 5*g - 3*g) - 3*g**2 + g**2 + 0*g**2 to k + i*g**2 + x*g and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*v - 2)*(-4*v**3 + 4*v**3 - 9*v**4 + (-2*v + 0*v + 0*v)*(-4*v**3 - 9*v**3 + 2*v**3)) - v**5 + 0*v**2 + 0*v**2.\nAnswer: -27*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*a**2 + 39*a**2 - 56*a**2 + 32*a**4 wrt a.\nAnswer: 768*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-1)\/(28\/(-12)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3 + 31. Suppose -r = 4 - 8. Solve -r*s - 3 = -o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2812983.\nAnswer: -2\/2812983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122530 (base 16) to base 4.\nAnswer: 10202110300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -77? (a) 0 (b) -7 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 20 = 3*g. Suppose -i = i - g. Let v = -11 - -19. Solve 2*k = -3*o + 4*o + v, i*o = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*(sqrt(18)\/(1*sqrt(6)) + (sqrt(9)*2)\/sqrt(3) + sqrt(75) + (sqrt(75) + sqrt(75) + -4)**2*-6).\nAnswer: -11376 + 2928*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12321, -12319, -12317, -12315, -12313?\nAnswer: -12311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 99 (b) 5\/4 (c) 1\/4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 6 + 7 + 18*k in the form g*k + v and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1080*d - 1718*d - 59972 for d.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6)\/(5\/(-10)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -5. Let i be ((-4)\/l)\/((-2)\/15). Suppose 1 = 3*q - i. Solve q*o + 7 = z + 6*o, -3*z + 2*o = 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 7019892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 25 = 5*r, 0 = -166*r + 161*r - 3*p + 60 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-1*3)*(2 - 2). Suppose l = 5*n - 329 + 79. Let i = 113 - n. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -2\/9 (c) -0.1 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y - 14. Let f be d(-5). Sort -2, f, 3 in decreasing order.\nAnswer: f, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69925 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.869 to 1 decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2)*(18 + 1 + 2*a - 5*a).\nAnswer: 9*a - 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 + 187*i + 2 - 13 + (2*i + 2*i - 3*i)*(3 - 2 + 1).\nAnswer: 189*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 24449.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqqh when four letters picked without replacement from qomrqhe.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 + 47. Suppose -5*k + 13*k - 120 = v. Is 33 a factor of ((-198)\/10)\/((-3)\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - w + w)*(0*w - 2*w + 5*w + (10*w - 4*w + 14*w)*(3 - 4 + 0)).\nAnswer: -68*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 627*g + 528*g + 852*g.\nAnswer: 2007*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116)\/1566 + (-56)\/(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 18639*n**3 + 5*n. Let g(p) = -139224007*p**3 - 37348*p. What is 5*g(t) + 37348*m(t)?\nAnswer: 9337*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134095 by 26819.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 8*s = -2*c + 16, -3*s + 8 = c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -27.4572158 + 0.1\nAnswer: -27.3572158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**0)**(6\/29)*(y**(-1\/2)*y)**(-3))**(-17) assuming y is positive.\nAnswer: y**(1275\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 938 >= 938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25309 - -25305. What is the nearest to 49\/3 in t, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -259.4, 204, 2?\nAnswer: -259.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -0.4, 6, -11.2, -3\/4 in increasing order.\nAnswer: -11.2, -3\/4, -0.4, -3\/8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 0.3 (c) 1824 (d) 0.04 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 - -8. Let u = z + 54. What is the closest to 0 in u, 0.07, 4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**3*j**3 - 3619352*d**3*j**2 + 6*d**3*j + 21*d*j**3 - 44480*j**3 wrt j?\nAnswer: 18*d**3 + 126*d - 266880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 577553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 4 (c) 5 (d) -0.5 (e) 13 (f) 2\/3 (g) -961\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4 - 208*s**3 + 2478*s**2 - 10352*s + 14560 = 0.\nAnswer: 4, 5, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * 583.7.\nAnswer: -7004.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-14) - 3\/42. What is the closest to 0 in 0, w, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*u = -10023 - 9952 + 6661 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -36 (b) -2.154 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*l - 70, 20*j = 17*j + 3*l + 174. Suppose -11*i = -8*i - 63. Calculate the remainder when j is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36146, -72279, -108368, -144389, -180318?\n\"Answer: 4*k**3 - 2*k**2 - 36155*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 3, w: 3, x: 7}. What is prob of picking 1 v and 1 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + 4*h - 11*h + 1117*h**2 - 1116*h**2 - 2 in the form j*h**2 + t*h + b and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + (sqrt(704) + -5 + ((2*sqrt(704))**2 - sqrt(704)) + ((sqrt(704)*-1 + sqrt(704))*-1)**2)*-6).\nAnswer: -101166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)*-2*-1 + -1*-1*sqrt(495))\/(sqrt(2880) + sqrt(45) + sqrt(5) + sqrt(225)\/sqrt(5)).\nAnswer: 9*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 56784?\nAnswer: 170352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 461 a factor of 387007656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k = -q - 5*k - 12, 0 = 2*q - 2*k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 1:30 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8066 is divided by 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and -36011.12?\nAnswer: 576177.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 187 or 172?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 26. Let x be p(-32). Let t be 3\/(-5) + (-69)\/(-15). Suppose -2*f + x = t. Put -2, f, -0.5 in descending order.\nAnswer: f, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 6*m + 6*m + 0*m - 21 - 4*m as r*m + s and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3664 and 1214700272?\nAnswer: 3664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -62353960 divided by 7804\nAnswer: -7990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 5*c - 1119, 21*c = -2*a + 26*c + 2223. What are the prime factors of a?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgdhggddgg. Give prob of picking 1 d, 1 g, and 1 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 422 (b) 18 (c) 0.03 (d) 1\/4 (e) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.9852231 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 12*f**3 - 10*f**3 - 699312*f**2 + 4 + 699312*f**2 + 9*f**3.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5613.7 rounded to the nearest one hundred?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.679911 to 1 dp.\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(22\/11))\/((-1456)\/6032).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -288*g**2 - 2*g. Let i(u) = 2*u**2 - u. Give -2*i(f) + o(f).\nAnswer: -292*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 299 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 139 = -363. Calculate the greatest common factor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61465626 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**4\/24 - 3*l**3\/2 + 9*l**2\/2 - 13*l. Let j(p) be the first derivative of s(p). What is the first derivative of j(f) wrt f?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 3*m + 42, -3*c + 2*m = -c + 20. Let b = c - -10. Solve -6 = -2*i + b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4959\/399 + 4 + (-96)\/28. Solve 2*q + 3*k = -d, q + 23*k - 16 = 26*k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4151109, 4151110, 4151117, 4151136, 4151173, 4151234, 4151325?\n\"Answer: o**3 - 3*o**2 + 3*o + 4151108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 790 and 228332120.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -1\/15 (c) -0.2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 511 = 2*h + 2545. Let o = 1651 + h. Suppose 4*x - 142 = -i, o = 4*i - 3*x + 104. List the prime factors of i.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 93.2361 to one decimal place.\nAnswer: 93.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**37\/q*q*q**(2\/7) assuming q is positive.\nAnswer: q**(261\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2981516, 5963247, 8944978?\n\"Answer: 2981731*f - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 6. Solve -l - h = -6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1979865*f*r**3 + 8*f*r**2 + 56567*r**3 - 6*r**2 - 2*r - 1 wrt f?\nAnswer: -1979865*r**3 + 8*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7874, 7, -0.2, 6, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*c - 162 = -c, 2*c = 4*l - 112. What is the remainder when l is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h - 7999*h**2 - 3*h**4 + 81*h**3 + 16001*h**2 - 8002*h**2 to m*h**4 + u*h + j*h**3 + t*h**2 + v and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 123920 = -4*w + 141519, 2*w + 3*h = 132723. Round w to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(147) + (sqrt(147) - (sqrt(147) + (sqrt(147)*-1 - sqrt(147)))*-1))**2 - (sqrt(363) + 3*sqrt(363) + -4)).\nAnswer: -44*sqrt(3) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*(4224\/(-3454))\/64\nAnswer: -1\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/12*(-22 + 21) + (-2274)\/(-180). Let -1\/5*f**5 + 11\/5*f**4 - 36\/5*f**3 + v*f + 16\/5*f**2 + 0 = 0. What is f?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1578*a + 1985512 - 10291*a - 1985512 to the form k + b*a and give b.\nAnswer: -8713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -18 + (19 - 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4*q + 26, 2*h - 2*q = -2*h + 2. Suppose 0 = 4*t + 5*l - 3*l - 436, 0 = 3*t - h*l - 336. Is t a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 48 = 2*n - 21, 2*n - 43 = -5*w. Suppose 80 = -3*x + w*x. What is the highest common divisor of 100 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*a**2*g**2 + 249*a**2*g*u + a**2*u**3 - 22*a*g**2*u**3 - 3*a*u**3 + 2*u**3 wrt g.\nAnswer: 76*a**2 - 44*a*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 947.2966 decades in years?\nAnswer: 9472.966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35570, 35568, 35566, 35564, 35562?\nAnswer: 35560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 126359158 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -4689.\nAnswer: 5\/4689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 4*y**2 - 3*y**2)*(5 + 2 - 5) + 259*y**2 + 915 - 915 + y.\nAnswer: 257*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -54?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/21)\/(10\/35).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in months?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + sqrt(1377) + 3*sqrt(1377) + sqrt(1377) - -6*(sqrt(1377) + -3 + sqrt(1377) + sqrt(1377))) + -2)**2.\nAnswer: -3644165 + 41400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6418079369 - -0.04232?\nAnswer: -6418079368.95768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (124\/3224)\/(2\/8)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 504308127 to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 12:55 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 27 - 2 = 0. Let z be (-2 - w)*(1 + -2). Is -7*(z + 2)*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -12 - ((-22 - 3) + -5 + 23)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/5 - 69\/15)*(-931 - -938)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-11\/5)\/w**(4\/5))\/(w\/(w*w**4))**(-10) assuming w is positive.\nAnswer: w**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*y - 925 + 6*y + 836)*(-2 - 1 + 1 + (1 - 1 - 2)*(5 - 2 - 4) + 0 + 3 - 2) in the form p*y + b and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*a - 0*a. Factor -a + 97 + 60*m + 210 + 3*m**2.\nAnswer: 3*(m + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73735 - 221202 + 12*b**2 - 26*b + 73732 + 26*b + 73735.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6 = 2*o. Determine b, given that -3*b**4 + 7*b**3 + 3*b**5 + 4 - 8*b + b**2 - 2*b**5 - o*b**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8447764.5 to the nearest 1000.\nAnswer: 8448000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -582999.\nAnswer: -116599.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -12*r**4 - 25*r**3 + r**2 + 7. Let t be 14\/63 + 94\/(-18). Let n(y) = 8*y**4 + 17*y**3 - y**2 - 5. Let l(s) = t*h(s) - 7*n(s). Factor l(g).\nAnswer: 2*g**2*(g + 1)*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 2.22\nAnswer: 13.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*x**2 - 61*x**5 + 27*x**5 + 22*x**5 wrt x?\nAnswer: -720*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 436 + -411. Solve -h = 5*y - 45 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.86496842 rounded to three decimal places?\nAnswer: -0.865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28945, 26917, 23533, 18787, 12673, 5185?\n\"Answer: -z**3 - 672*z**2 - 5*z + 29623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10013 + -2213?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 + -0.67. Let v = -0.33 + c. Let u = -0.01 - -0.31. Put -0.2, v, u in increasing order.\nAnswer: v, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*t + 110*t - 301*t.\nAnswer: -339*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3 + 27 = 0. Let p = 8 + z. Sort -1, p, -3 in descending order.\nAnswer: p, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c - 47. Let l(y) = 4*y - y + 93 + 2 - 11*y. Let f(u) = 6*l(u) + 13*z(u). What is the remainder when f(16) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 8. Suppose 0 = -2*z + 6 - 18. Let u be d(z). Let q be -4*(u + 6\/4). Solve -2*m - 3*o + 4 = 0, q*m + 3*m - 23 = -o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 7*n**2 + 6*n + 9. Let w be v(8). Let s = -1 + w. Let h = 9 + s. Calculate the highest common factor of h and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*q + 4 = 6*q, -3*i = 5*q - 32. Let 4*f - 4*f - f**i + f**3 = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3 + 7*t**2 + 2*t**2 + t**3 - 5*t**2 - 4*t. Let j be q(-5). Let y = 1\/32 - 131\/96. Does j = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, -62, -166, -270, -356?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/285 and 23\/8772471?\nAnswer: 43862355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-10))\/(876\/10)*240*(-113)\/(-1695)?\nAnswer: 4\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.8.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 - -153510327?\nAnswer: 153510271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 149 + -1345\/9. Let w = 0.37 + -39.37. Let q = 36 + w. What is the second biggest value in r, 2, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28932 (base 10) to base 12\nAnswer: -148b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7703 * -1422.\nAnswer: 1095.3666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2. Let r = -453833\/12 + 37822. Let t(p) be the second derivative of 30*p + 0*p**2 - r*p**4 + 0*p**3 + 0. Calculate t(y(u)).\nAnswer: -124*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 3\/13 (b) -0.04 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {g: 4, w: 1, l: 2, v: 6, t: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3984 - -4028. Solve 13*m - x*m + 62 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (378\/210)\/((-207)\/(-23))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - t + 1. Let c(w) = -12*w**2 + 10*w - 10. Let r(y) = 2*c(y) + 20*s(y). Let i(f) = 4*f + 8*f + 6*f + 6*f - 27*f. Give r(i(q)).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 17*i**2 + 5*i**2.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(500)*1)**2)*5 - ((2*sqrt(500) + -5)**2 - (sqrt(500) - (sqrt(500) + 0)*-5)**2).\nAnswer: 200*sqrt(5) + 18450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -43, -214, -493, -874, -1351, -1918, -2569?\n\"Answer: f**3 - 60*f**2 + 2*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-12)\/15*(-1)\/(-3). Let f(b) = -b**2 + 2*b. Let g be f(2). Sort g, -5, l.\nAnswer: -5, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*v + 8. Suppose -v*m + 10 = -m. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - 118541146\nAnswer: -118541163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*((-12)\/(-8) + -1) - 2. Is 851 + -15 - -1*(r + -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 755336 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 117 - 7240?\nAnswer: -7124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403165511 is divided by 2228?\nAnswer: 2227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-35) - (-22)\/14. Let m(o) = 33*o**3 + 2*o - 1. List the prime factors of m(p).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 48*g**2 + 39*g - 57. Let y(l) = l**2 + 14*l + 1. Let s be y(-8). What is the tens digit of k(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - f**2 + f**2)*(24*f**2 + 9*f**2 - 15*f**2).\nAnswer: -18*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19187 and 19187?\nAnswer: 19187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -32. Let s be 1*(-9)\/5 + 1. Sort k, s, -1\/6 in decreasing order.\nAnswer: -1\/6, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 6:49 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 3:09 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34239813 a multiple of 1471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - -71) + (-233 - -29)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 5*h**2. Let q be l(5). Let z = -277 - -113. Let m = 488\/3 + z. Which is bigger: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -128103313?\nAnswer: -128103313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 180468 - 79225. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31736 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 340292 and 37596.\nAnswer: 13271388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13501.56 rounded to the nearest one hundred?\nAnswer: -13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 5. Let l be x(4). Let p be (-2 + (-18)\/(-2))*l. Is (-15)\/(-6)*(-1 - p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377703 is divided by 124.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*b**3 + 23876*b**2 - 71655*b\/2 + 13437.\nAnswer: (b + 2986)*(4*b - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11744*q**4 - 69*q**5 + 11744*q**4)*(1 - 6 + 4) + (1 + 4 - 6)*(3*q**5 + 3*q**3 - 3*q**3).\nAnswer: 66*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-156)\/(1*-2) - 0. Suppose -12*g = 399 + 465. Let l = w + g. Is l less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-20)*3)\/(132\/48). Let p = 238\/165 - u. Which is the nearest to 0.1? (a) -1 (b) 2\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -7*d**4\/2 + d**3\/3 + 1. Let v(k) = -3*k**2 + 103*k - 33. Let w be v(34). Give y(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**3 + 3*b**2 + 12*b**2 - 80*b**4 - 1 - 8*b**2 - b**3 - 5*b**2 in the form z*b**4 + i*b**2 + w*b + o + c*b**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 74*f - 7538. What is b(89)?\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*g - 6. Let h = 7 + -10. Let i be 3 + (0\/(-2))\/2. Sort g, i, h in ascending order.\nAnswer: g, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24928 and 3744.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -36146 in increasing order.\nAnswer: -36146, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 455*r + 2247. Let h be v(-5). What is the closest to 0 in -0.5, h, -73\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1420218607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -57.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(104)*3)\/(sqrt(1400)\/sqrt(7)) + ((3*sqrt(468) + -4 - sqrt(468)) + 4*-1*sqrt(468))**2.\nAnswer: 468*sqrt(13)\/5 + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txfx when four letters picked without replacement from {x: 4, f: 7, o: 2, p: 3, t: 2}?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1087 + -1083. Which is smaller: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6572 + -6529. Calculate the remainder when y is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -191 + -13. Let m = k - -203.5. Let s = -38 + 55. Which is the second biggest value? (a) s (b) 4 (c) -4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 10) in base 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 157, -731, -3133, -7805, -15503, -26983, -43001, -64313?\n\"Answer: -126*y**3 - y**2 - 3*y + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24282 and 5396.\nAnswer: 48564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 170 = 40. What is the remainder when d is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2)*2015\/186*216\/300?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 816?\nAnswer: 816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-171)\/(-76))\/((-2)\/(-8)). Let k(u) = -471*u + 12. Let b be k(-5). Suppose b = p*s - 0*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41 or 8278\/5?\nAnswer: 8278\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9195 and 45.\nAnswer: 27585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 147 + -0.09322738.\nAnswer: 146.90677262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 11:19 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107369 is divided by 41.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109 - 218 + 107 + 464*m**3 to w*m + n*m**3 + z + x*m**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-476)\/(-70) + (-1)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*d - 5*d**2 + 110*d - 68*d + 11*d**2.\nAnswer: 6*d**2 - 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/95448 and 73\/71586.\nAnswer: 286344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 396a61 - 5a?\nAnswer: 396a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7838071 and 203728.\nAnswer: 1819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 198 = 558. Suppose -12*g = -0 - w. Let z be (10\/25)\/(g\/(-15)). Sort 3, 0, z, 5 in decreasing order.\nAnswer: 5, 3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + -16. Let u = -34.8 - f. Which is greater: u or -0.03?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 18 + z - 9 - 9. Let w(r) = -1 - 3*r + 1. What is j(w(g))?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 11) to base 15\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 57, 367, 0 in decreasing order.\nAnswer: 367, 57, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 11*d + 25. Let t be u(-7). Sort -0.8, t, 6, 3\/4 in decreasing order.\nAnswer: 6, 3\/4, -0.8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*v + 370*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-30))\/(3\/(-5))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*a + 51*a - 10640. What is the highest common factor of a and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21755 divided by 13.\nAnswer: 21755\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -2 (b) 3 (c) 0.5 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -47\/5. What is the nearest to 2\/5 in c, -0.01, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -17*z**4\/2 + z**3\/3 - z**2\/2 - z - 2. Let k be x(-1). Let s = -21 + k. What is the greatest common factor of s and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41\/130836 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 p, 1 l, and 1 t when four letters picked without replacement from tyelepeteetee?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -712*f**4 + 6*f**3 + 2770*f**2 wrt f.\nAnswer: -17088*f + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2565 + 3926. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 1:48 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -12, 203, 0.2, -3, 0.44?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 1. Let x be (4\/10)\/((-24)\/(-78) + (-1222)\/5070). Differentiate x*j**3 - 21*j - 2*j - 8*j**h - 11 wrt j.\nAnswer: -6*j**2 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -1255553?\nAnswer: 1255553.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2164104210 a multiple of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-10))\/((-210)\/75). Put 3\/2, c, -1 in decreasing order.\nAnswer: 3\/2, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t - 16. Let a be s(-7). Suppose -a*i = 459 + 41. Let h be i\/(-12) + 4\/6. What is the greatest common divisor of h and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1485344 and 58632.\nAnswer: 4456032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -1) + (-17 - (16 - 31)) + -19\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12201100 (base 3) to base 8.\nAnswer: -10107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 12) to base 14\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15696.7 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1 (c) -0.2 (d) -0.5 (e) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11002 (base 3) to base 8\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128664?\nAnswer: 2, 3, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 9:54 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - 8\/900*336. Let j(f) be the second derivative of 0*f**2 - 1\/10*f**4 + 0 - 3*f - 3\/50*f**5 - 1\/15*f**3 - z*f**6. Determine c, given that j(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 9:09 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 21 + 138. Suppose 36 = w + w. Calculate the remainder when d is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 51 = -36 + 30. Solve -4*q + 11*k = v*k - 20, 5*q - 18 = -k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = x + 11*m - 2, 3*x + 4 = -2*m. Let g be -6*((-3)\/x + -2). Suppose -2\/5*q - 2\/5*q**g + 4\/5*q**2 + 0 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*l - 129 - 92. Suppose 34*o - l*o = 0. Solve 3*d + 12 = o, -2*z = 2*z + 3*d + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4101202 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807103401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*(-2 + ((sqrt(98) + 0)*4 - ((-4 + sqrt(98)*2 - sqrt(98)) + sqrt(98))))**2 + -3.\nAnswer: 896*sqrt(2) + 6333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 13*o**3\/3 - 81. Let i(u) = 7*u. What is c(i(r))?\nAnswer: 637*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14596514.\nAnswer: 2, 79, 92383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-340)\/17*(-4)\/25.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 440328523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 354 - 353. Suppose -2*t = -t + 3*z + 9, -4*z = 4*t + 12. Which is the nearest to 1\/6? (a) t (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 27*c**2 + 2*c - 32. Let r(v) = -27*v**2 - 2*v + 38. Determine -2*k(h) - 3*r(h).\nAnswer: 27*h**2 + 2*h - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a week?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*t + 257 - 257 in the form c*t + f and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/6088 and 38\/9.\nAnswer: 54792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.96 * 19.1.\nAnswer: -323.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d + 45. Let b(n) = n**3 + 18*n**2 - 19*n + 32. Let j be b(-19). Let p = 59 - j. Calculate the remainder when p is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/((-71)\/2556)*(-10)\/6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + u**2 - 1. Let f(c) = 8*c**3 + c**2 - 2*c + 5. Let r(b) = -7*b**3 + 2*b - 5. Let p(o) = 4*f(o) + 5*r(o). Determine 4*m(d) - p(d).\nAnswer: -d**3 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8*u**2 + 166*u - 11069. Calculate c(-49).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11\/8, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 453, 1218, 2289, 3666?\nAnswer: 5349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*x - 8*x - 1980 = 0 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12 - ((-2)\/(-4))\/((-10)\/(-80)). Let t = 150.3 - 149.3. What is the nearest to t in 1\/3, -3\/4, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(36)\/sqrt(4)*2)*-4.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1785844, 1785761, 1785678, 1785595, 1785512, 1785429?\nAnswer: 1785346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-26) - (-1916)\/52. Let x be (-10)\/35 + l\/7. Suppose -x*w = 2*q - 17, -q - 3*w - 14 = -2*q. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, d: 6, v: 1, l: 3}. What is prob of picking 1 l and 1 v?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.283928 - 1038\nAnswer: -1038.283928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -16.8. Let n = d + -3. Let y = -0.2 + n. What is the third smallest value in 0.1, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -412.9 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3006 - -5907. Suppose -2*y - 5*h + t = 0, -2*y = -4*h - 411 - 2481. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 34693*x**2 - 12*x + 4. Let m be j(-14). What is m rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20020002303 - 11?\nAnswer: 20020002232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206474.\nAnswer: 2, 103237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*(-4 + (-3*sqrt(10)\/sqrt(2))**2 + 6*sqrt(320)).\nAnswer: 492 + 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14251 is divided by 728.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2 (b) 3 (c) 40\/19 (d) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3017 divided by -5?\nAnswer: -3017\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k**3\/7 + 171730*k**2\/7 + 1992336*k\/7 + 645030\/7 = 0.\nAnswer: -45\/4, -1\/3, 7167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v**3 - 3*v**2 + v + 1. Let p be m(1). Let z(n) be the second derivative of -n**5\/20 + n**4\/3 + n**3\/2 - 3*n**2\/2 - 2*n. What is z(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-14)\/6)*-1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/28 and 11\/50078.\nAnswer: 100156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-46)*k))\/k*k**(6\/7)*(k\/(k**7\/k))**12 assuming k is positive.\nAnswer: k**(-99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 31790?\nAnswer: 31796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q**3 + 6*q**2 + q - 7. Let t(c) = -7*c**3 + 7*c**2 + c - 8. What is 5*g(m) - 4*t(m)?\nAnswer: -7*m**3 + 2*m**2 + m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38940 + -31937. Is x a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 9*q + 78. Let z be b(36). Let x = z + 1326. Is x a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*j + 113209, -8*y + 10*y + j + 56597 = 0. What is y rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*v + 8, -6*v + v = -p. Suppose 5*l + 76 = 3*g, -5*g + g - p*l + 78 = 0. What is the units digit of 184\/44 - 4\/g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736753533?\nAnswer: 3, 31, 255551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.1 and -1.18.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -932\/7 + 133. What is the closest to r in -3, 3, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/7, 0.3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-2)\/(-6)*-21. Let s be 1827\/49 + (-2)\/a. Suppose -s = -4*k + 3*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -11 + 7 + (5 - 7) + -23?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 1. Let h(l) = -4*l + 6. Let o(r) = 10*r - 18. Let z(g) = 11*h(g) + 4*o(g). Calculate 6*c(i) - z(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + g + 237, -2*d + 5*d + 711 = -2*g. Let t = -109 - d. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-1)*(-82824)\/21692.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 3\/20, -2, 3, -2\/3 in increasing order.\nAnswer: -2, -4\/3, -2\/3, 3\/20, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2. Let o(u) = -29*u + 1. What is 2*d(y) - o(y)?\nAnswer: -2*y**2 + 29*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 1, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(490) + sqrt(490)*-2 + sqrt(160)\/sqrt(4))\/(sqrt(40)\/sqrt(5)*2))**2.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*z - 7*z**2 - 79*z - 1 + z**4 + 139*z to the form s*z + u*z**4 + a*z**2 + m + w*z**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(21\/8)*r*r)\/((r\/(r**32\/r))\/r)*(r\/r**39)\/r**(-6\/11) assuming r is positive.\nAnswer: r**(-161\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from yeydyyyydrdddndryydn.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6050) + sqrt(6050) + 1*sqrt(6050) + sqrt(50))\/sqrt(10)*2.\nAnswer: 68*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56314 (base 7) in base 6?\nAnswer: 145501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.6 in -0.1, -27, -115.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -1722 + 1737. Solve -u*r = -3*d - 9 + 22, r = -4*d + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -72, -107, -118, -93, -20, 113, 318, 607?\n\"Answer: 2*t**3 - 49*t - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 - 1.5. Let j = 189.5 - 188.5. Which is the fourth smallest value? (a) -0.8 (b) 2 (c) j (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -556?\nAnswer: -1\/556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + b**2 + b + 1. Let t be 12\/(-54) + (-58)\/(-18). Suppose 0*g = t*g. Let y be o(g). Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3326523*t - 5*t**2 + 3326523*t.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/(-20))\/((-3)\/52). Let z be -2 - 15\/(2 - (-175)\/(-80)). Calculate the greatest common factor of z and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57502 - -56931.61. What is i rounded to the nearest ten?\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 2, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*w + w = -2, -4*b = -4*w - 24. Let h = -10 - -14. What is the third derivative of 9*v**2 - h*v**b - 3*v**3 - 3*v**3 + v**3 wrt v?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1175.87 - -1169. Let i = r + 7.27. Let z = -19 + 9. What is the nearest to 0.1 in z, i, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 3\/4 (c) -30 (d) 73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 3105?\nAnswer: -6210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -450 and 1140364148.88.\nAnswer: 1140363698.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 15*l**2 - 3*l + 2. What is r(15)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, y: 3, h: 4}. Give prob of picking 2 h and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-245)\/(-735))\/((-2)\/((-18)\/7)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1005*v. Let m(r) = 15*r. Let u(d) = -2*l(d) + 135*m(d). Let h(p) be the second derivative of p**3\/6 + 1680*p - 6. Give u(h(g)).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1753326*p**4 - 2*p**3 - 1096484*p + 14?\nAnswer: -21039912*p**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -151 != -142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 6 - 2\/2. Suppose -2*y + 30 = -4*v, 3*v - 24 = n*v + 5*y. Let j = 23 + v. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3\/8 - 345119*l**2\/8 - 3722334888*l - 81880928019\/2 = 0. Calculate l.\nAnswer: -172554, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*j = 174, 2*j = -5*k - 0*k + 168. What is the third derivative of 54*c**2 - k*c**2 + 28*c**5 + 0*c**4 + 0*c**4 wrt c?\nAnswer: 1680*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -s - 0. Suppose 101*r - 52 = -15*r + 296. Solve -r*x = -s*x + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 3*n**2 + 13*n - 2263. What is m(16)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 9*c + 10. Let z be m(-5). Suppose -4*r - v = -2*v - z, -5*v = -3*r + 7. Let i(x) = x**2 - 7*x + 7. Let n be i(8). Solve r*h = 3 - n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -p - 38*w + 41*w, -4*p + 3*w - 132 = 0 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/22)\/(-1) + 71875\/(-6900)*8\/(-66)?\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/3*(-1 - 2). Let s(b) = -b**2 - b + 1. Let n(i) = i - 17*i + 9*i - 3 + 9*i - 3*i**2. Let r(p) = -n(p) + 2*s(p). What is r(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*f**2*j**2 - 2689*f**2*j + 240*f**2 + 29*f*j**2 - 291748*f + j**2 - 3*j wrt f?\nAnswer: -146*j**2 - 5378*j + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**6\/8 - 5*p**4\/6 + 17*p**2. Find the second derivative of r(g) wrt g.\nAnswer: -90*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 21*f - 20. Suppose 4*u - 5*h = -8, h + 3*h = 16. Let c be 15\/4*4\/u. What are the prime factors of x(c)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -232?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 15*l - 1. What is r(-12)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a. Let y(r) be the first derivative of 197*r**2\/2 - r - 2978. Calculate y(x(h)).\nAnswer: 985*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 265965748 to the power of 1\/3, to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 151*z - 8. Let r be i(7). Let q = 5650 - r. Let y = q - -9199. Round y to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3 - 766*t**2 + 30675*t + 98892 = 0. Calculate t.\nAnswer: -804, -3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-40)\/15)\/((-24)\/9). Let l be (54\/27)\/(f\/2). Solve -4*n = 3*r - 3, r - l = 3*n - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(sqrt(35)*-2)\/sqrt(7).\nAnswer: -16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*m + 38 + 20 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(14)\/sqrt(7)*6 - sqrt(2)).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 12*i = 7*i, 5*i = 5*t + 10*i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*b + 5*b - 34*b)*(0*b - b + 7*b)*(b**3 - b**3 + 8*b**3).\nAnswer: -3696*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, -19, -42, -67?\n\"Answer: -m**2 - 18*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 3. Let n be j(0). Let x be -2 + 990\/n + 0. What is the units digit of x\/(-36) + 4\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = -25*m + 26*m. What is the remainder when m is divided by -2 + 57 - (-4 + 8)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107859933 to the nearest integer?\nAnswer: 10386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2391*m**3 - 907*m**3 + 218*m**2 - 11863*m**3 - 110*m**2 - 106*m**2.\nAnswer: -10379*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-12))\/((-6)\/45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -383, -2891, -9739, -23111, -45191, -78163, -124211?\nAnswer: -185519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -13*t**2 + 9*t + 9. Let b = -18 + 9. Let k(o) = -3*o**2 + 2*o + 2. Let f = -9 + 11. Calculate b*k(m) + f*r(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0*t - 3*t)*(-21 - 1 + 9) + (t - t - 3*t)*(1 + 3 - 3) - 3*t - 4 + 4 + (2 + 0 - 1)*(2*t + 0 + 0).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 35 = -0*t - 5*m, 4*t + 17 = 5*m. Suppose -132 = -4*x + 6*q - t*q, 4*x - 137 = 5*q. Calculate the remainder when x is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 446, 398, 350, 302, 254?\n\"Answer: -48*x + 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 684042 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t + 25 = 0. What is the remainder when 32 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -113\nAnswer: 22.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 15 = 0, 2*n + 3*m - 57 = -n. Calculate the highest common factor of 16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28050 + 31340.6. Round s to the nearest 10.\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyjl when four letters picked without replacement from {j: 3, f: 11, y: 4, l: 1}?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q - 3*q - q)*(-2 + 4 + 0) + 4*q - 5*q + 2*q + 5*q - 2*q - 2*q + 5*q - 6*q + 2*q + (-1 - 1 + 3)*(-2 + 2*q + 2).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19026467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 + 15*c - 14. Let n(d) = 6*d**2 + 14*d - 15. Let z(u) = -5*j(u) + 4*n(u). Calculate the remainder when z(-11) is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - -1.7. Let t = 1.66 - -158.34. Let j = -163 + t. Which is the smallest value? (a) i (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.5 - -8.07. Round n to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2540843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69790*k + 3*q - 41 = -69792*k, 0 = -5*k - 5*q + 105 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13 + -8 - 14)*(-2)\/3. Let m(x) = 7*x - 38. What is m(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfq when three letters picked without replacement from {s: 2, f: 2, p: 7, q: 4, c: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 112 = 100 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 10*x**2 + 2*x + 2. Let d be i(-2). Let f = 31 - d. What is the common denominator of -13\/16 and (-25)\/4 - (-1 + 11 + f)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 26*a. Let s(t) = -14*t. What is s(u(d))?\nAnswer: -364*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*n - 6 = -40*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2 = -1. Let j be 3*r*1*-1. Solve t + 3*t = -2*b + 12, -b - 14 = -j*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34254708 rounded to the nearest one thousand?\nAnswer: 34255000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4253.\nAnswer: 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + -2*(sqrt(343) + -5 + 2)).\nAnswer: -42*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 554719227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 1\/21*t**7 + 0*t**2 + 0*t**5 - 29\/30*t**6 + 4*t - 65\/6*t**3 + 0*t**4 + 2. What is the second derivative of n(m) wrt m?\nAnswer: 40*m**3 - 348*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/4*(-8)\/(-10). Let v(t) be the second derivative of -11*t**3\/6 - 37*t**2 + 53*t. Let a be v(-7). Solve a = -x - k*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 752 + 18*q**2 + 22*q**3 + 272 - 31*q**2 - 20*q**2 with respect to q.\nAnswer: 66*q**2 - 66*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**2 - 54*l - 243 = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 245498 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 0*u - u)*(-59 + 2002 - 273)*(-1 + 0 - 1).\nAnswer: -6680*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*l**2 - 17*l**2 + 211*l**2.\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 6433*u**5\/60 - 5525*u**3\/6 - 211*u**2 - 8. What is the derivative of g(o) wrt o?\nAnswer: 12866*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -153559830 rounded to the nearest one million?\nAnswer: -154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-8)*12\/90.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 - -80. Let n be (-3)\/(21\/(-12) + 2\/y). Solve w - n*h + 0*h = 0, 3*h = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 11:28 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 21 - 2 = 3*r, 5*j - 23 = -3*r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -126 in decreasing order.\nAnswer: 5, 4, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*q = h - 16, 5*q = h + 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -201*v**2 + 20*v**2 + 82*v**2 - 724*v**2 to the form r*v**2 + u*v + t and give r.\nAnswer: -823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.4, -2\/11, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = -8*y + 23*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -13100000 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30744 = -14*c + 60942. List the prime factors of c.\nAnswer: 3, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.17 + -2.11. Which is the second biggest value? (a) x (b) 1\/4 (c) 2\/7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 18*n**2 - 66*n - 8. Calculate r(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278905?\nAnswer: 5, 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3, 0.12 in increasing order.\nAnswer: -3, -0.2, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 4*g + g)*(1 + 0 - 3 + 6 + 1 + 1 + (-1 + 6 - 4)*(-3 + 3 - 2) - 5 + 2 + 2 + (5 - 5 - 2)*(-1 - 1 + 4)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 102522882?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -186705058 divided by 2\nAnswer: -93352529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 5*c - 3*c + (-3 - 2 + 6)*(-2*c + 2*c + 2*c))*(-4*c - 4*c + 3*c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 + 71.0075. What is x rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -749028280 by -910.\nAnswer: 823108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 32. What is the smallest common multiple of i(-14) and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2\/31, -1\/4, -4\/17, 7\/4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/15)\/(-1))\/1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-8 - -6) + -4 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 537*o**2 + 2*o + 728 wrt o.\nAnswer: 1074*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**5\/4 + b**4\/4 - 2*b. Find the third derivative of u(m) wrt m.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/10 and -21\/1090.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**6\/120 - 3*g**5\/20 + g**4\/8 + g**3\/3 - 4*g**2. What is the remainder when h(9) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 13*s**2 - 16. Let g be l(13). Is g\/(-16)*13*41 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4002 + 3952 + 103 + 2.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1111000000111 (base 2) to base 6\nAnswer: 55331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 2)\/2 + -3 - -242. Suppose -11*r + 3461 - s = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/18? (a) 1\/5 (b) 7 (c) 0.5 (d) -36 (e) -7 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*(r\/(r\/((r**(-1)*r)\/r)))\/r)**(-2\/43) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.967872 tonnes in kilograms?\nAnswer: 3967.872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24\/631 - 38827\/8834. Calculate the common denominator of i and 580\/(-54)*147\/196.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h*o**2 - 21*h*o + 7*h - 22*o**2 wrt o?\nAnswer: 4*h - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 198081462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -812*o + 6*o**3 + 11*o**3 + 794*o - 4*o**3 in the form z*o**3 + t*o**2 + f*o + h and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxxx when four letters picked without replacement from {x: 7, f: 4}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 632528046 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 2898\/653?\nAnswer: 2898\/653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -71*r**2 - 553*r + 49 + 442*r + 65 + 111*r**3 - 46*r**2 + 3*r**4 = 0. Calculate r.\nAnswer: -38, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + g = 4*h + 7, -4 = 4*g. Let z be 48\/(-32) - 42\/h. Put 2, z, 1 in increasing order.\nAnswer: 1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*f**2 + 12 + 13 - 24 to o*f**2 + h + i*f and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 9*n - 16. Let j be f(5). Find the third derivative of -5*h**2 + 2*h**j + 15*h**2 - h**4 - 20*h**4 wrt h.\nAnswer: -456*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 4*t + 64, t + 7*t + 310 + 313 = -2*w + 651 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/(-28))\/(860\/(-70) - -12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9761665.\nAnswer: 5, 47, 41539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (10 - 7) - (10 - 7) - -23\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1. Let s(v) = v**2 + 4*v - 1. Let k(t) = -3*b(t) - s(t). Let a be k(-4). Calculate the remainder when 29 is divided by 14 + (-3)\/(a - 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94.2 - -93. Round k to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(7) + sqrt(56)\/sqrt(8) + 4 - (sqrt(7) + -2)*2.\nAnswer: sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -28. Let i be 0\/3 - 21\/(-72). Let m = 5\/8 - i. What is the closest to s in m, 0, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 1. Let l = -1355 + 1352. Let s(q) = 5*q - 1. Determine l*v(f) - s(f).\nAnswer: -8*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -474923343 or -474923344?\nAnswer: -474923343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23845083*o + o**2 - 23845083*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1300))*6 + 2 + -4 - ((-5*(2*(0 + sqrt(1300) + sqrt(1300) + sqrt(1300)) + sqrt(1300) + sqrt(1300)))**2 + 4).\nAnswer: -2080006 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181343969.\nAnswer: 181343969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -179 - -180. Which is the nearest to -0.2? (a) 0.5 (b) 0.8 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 358, 790, 1476, 2416, 3610, 5058?\n\"Answer: 127*r**2 + 51*r + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 130135?\nAnswer: 130132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**3\/6 + c + 3. Let a(u) be the first derivative of x(u). Let h(y) = -y. Calculate h(a(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**7\/168 - 5*a**6\/72 - a**5\/3 - 5*a**4\/6 + a**3 - 6*a. Let k(l) be the second derivative of w(l). Factor k(n).\nAnswer: -5*(n + 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10133*u**3 + 7014*u.\nAnswer: 60798*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 462 and 42812?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oioi when four letters picked without replacement from {o: 4, i: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 b, and 1 e when three letters picked without replacement from cececcecetuucbcuc.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3\/5 - 14*s**2\/5 + 8*s\/5 + 24\/5 = 0.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -50902.\nAnswer: -1018.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59030, -55982, -52934, -49886, -46838?\nAnswer: -43790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45968026?\nAnswer: 2, 13, 1768001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 - 24*h - 13. Let w(u) = 3*u**2 + 30*u + 13. Give 6*d(x) + 5*w(x).\nAnswer: -3*x**2 + 6*x - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m - 6*m + 6*m + 16*m.\nAnswer: 31*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 384611281349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*d = 273*d - 941*d - 32*d + 33582 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k**3 + 5*k**2 + 34*k - 7. Let l(n) = -4*n**3 + 3*n**2 + 18*n - 3. Calculate -5*l(r) + 3*m(r).\nAnswer: -r**3 + 12*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 30*c**2 - 6*c + 49. List the prime factors of r(-24).\nAnswer: 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**8*z)\/z)\/(z\/(z\/(z\/(z*z\/z**1)*z))))**11 assuming z is positive.\nAnswer: z**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 4*d**2 + 4*d - 1. Suppose 4*o + 3 = -5*c - 14, -8 = -4*o. Let p be a(c). Suppose -p*j + 38 = 2. Solve 16 = -5*r - j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*m - 5 - 6*m + 2 + 0.\nAnswer: 11*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a century?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kata when four letters picked without replacement from {k: 6, a: 3, t: 4}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45197*n + 30347 wrt n.\nAnswer: -45197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -2\/7, 3\/8 in increasing order.\nAnswer: -2\/7, 2\/15, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.506+45\nAnswer: 45.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 3:33 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = 2*x - 1, 3*x - 6 = -q. Suppose j + 4 - 8 = q. Let g(v) be the first derivative of -v**2\/2 - 1. Let l(i) = 3*i + 1. What is j*g(u) + l(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a milligram in micrograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -46*s + 65*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1067 divide 619906799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 12. Let q = 7 + p. Let h = q - 6. What is the smallest value in -0.1, -0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {h: 4, y: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*s = -16, -4*b + 2 = 5*s + 15. Suppose -23 = -b*g - 8. Calculate the least common multiple of (10 + -11)*(-6 + -2) and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 4*n**3\/3 - 28*n**2 - 12*n - 107. What is the thousands digit of i(26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 + 4*b**4 - 12*b**3 + 4*b**2 - 6*b**4 + 30 - 29 in the form k*b**2 + d*b + z*b**3 + u*b**4 + a and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 n when three letters picked without replacement from jvxvjvjjvxjjjnjnxvj.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -2*o + 33, -85 + 11 = -2*f + 29*o - 33*o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 223 + -227. Put -10, -1, 1, n in decreasing order.\nAnswer: 1, -1, n, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49212.33 + -50024. What is x rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*2)\/sqrt(7) + (-1*sqrt(136))\/sqrt(8))**2 + 1 + -3*(sqrt(51) - 1*(sqrt(51) - 1*sqrt(51)))\/sqrt(3).\nAnswer: -3*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y**3 - 27*y**2 - 17*y - 118. What is the remainder when a(-6) is divided by 79?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 5, b: 1, y: 1, r: 4}. Give prob of sequence yrb.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 28 = -h. What is the remainder when h is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22258\/1951 smaller than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 280 + -278. Which is the smallest value? (a) -1 (b) 0.068 (c) 0 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, d: 2}. What is prob of picking 3 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 3:38 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 285*f**2 + 379*f - 26983. Calculate h(284).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - i - 1. Let m(x) = -x**2 - x - 3. Let v(s) = -m(s) - q(s). What is the units digit of v(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 13*z - 6 - 12*z - 5. Let k(h) = -h + 6. Let l(a) = 11*k(a) + 6*u(a). Let c(s) = -4*s. What is c(l(o))?\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from {t: 2, a: 17}?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 59.08812ns?\nAnswer: 0.000000000984802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/(2\/4). Let v = -2 + p. Suppose c + 0 - 4 = 0. Put v, -3, c in increasing order.\nAnswer: -3, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 135 = 9*u. Which is smaller: 8 or u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*m + 39 - 2, 0 = 5*m - j + 20. What is the fourth biggest value in 65, 0.2, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 179347\/45 + -3985. What is the common denominator of -43\/35 and q?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10092799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otfcd. Give prob of picking 1 o and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 13 - 13)*(-4*g + 2*g - 74 + 2*g**2 + 75) + g**4 + g**2 - g**2.\nAnswer: 3*g**4 - 2*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12614, 12666, 12752, 12872, 13026?\nAnswer: 13214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 7*x + 2. Let o(j) = -j**2 + 7*j + 1. Suppose 26 = -6*r - 10. Let d(b) = r*w(b) + 5*o(b). Determine d(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = j - 9, 2*j + 3*n + 0*n - 27 = 0. Calculate the remainder when (-194)\/(-4) + 3 + 12\/(-8) is divided by 230\/j - (-8)\/36.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17068528 and 63656?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2064, -5, 0 in ascending order.\nAnswer: -5, 0, 5, 2064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-r - 4 + 4) + (-1 + 1 + 1)*(r - 6*r + 2*r) + 5*r - 3*r - 4*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16446 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94271657*b**2*f**2 + 37172*b**2*f + b**2 - b*f - 46*b - f + 1 wrt f.\nAnswer: -188543314*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/13772 and -121\/812.\nAnswer: 2795716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 60. Let k = v + 53. Sort 9, -1, -3, k in descending order.\nAnswer: 9, -1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -340, -330, -308, -268, -204, -110, 20, 192?\n\"Answer: s**3 + 3*s - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21919\/2 or 10961?\nAnswer: 21919\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - -2102?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t + 3*d - 16962 = 0, 2*t = 5*d - 16954. Is t\/(-18) - (-15)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 - 224 + 317 + x**3 to the form y*x**3 + z*x + b*x**2 + j and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 64*u - 5. Let k(q) = 128*q - 10. Let j(c) = -5*h(c) + 3*k(c). Is j(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:20 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjtfjtjjjjfjjtfffjjj. What is prob of picking 1 t and 2 f?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3979512 and 15048?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.304 - -0.304. Which is the biggest value? (a) -3\/5 (b) 5\/2 (c) -5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203345 and 10385.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -952, -2456, -4636, -7486, -11000, -15172?\nAnswer: -19996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**7*n*n*n*n**(-28))**(-28\/9))**(-23) assuming n is positive.\nAnswer: n**(-10948\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 5. Let o be n(7). Suppose -2*q + 2 = 8. Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -703*i + 7 = -3*d - 699*i, 0 = -2*d - i - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 3*x + 1035. Let w be 5\/(-1) + (-8 - (-5 - 23)). What is the greatest common factor of x and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 25404701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1267*x**4 - 672*x**4 - 9*x - 437*x**4 + 9*x + (x**3 - x**3 - x**3)*(4 - 4 + x) in the form n*x + f*x**3 + r + k*x**4 + h*x**2 and give k.\nAnswer: -2377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64271\/93 - -691. Find the common denominator of s and -8\/279.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -3)\/(4*27\/144). Let s(h) = h**3 - 3*h**2 - 4*h - 2. Let n = -1 - -1. Let o(d) = 5*d + d**3 - 3*d**3 + 4*d**2 + n*d**3 + 2. Give l*s(u) + 3*o(u).\nAnswer: -2*u**3 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*r + 220 = 6*s, -3*r - 9 = 0. Suppose -t + 38*y - s*y - 13099 = 0, -2*t - 26192 = 4*y. Round t to the nearest one hundred.\nAnswer: -13100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -i - 4*i + 165, i - 15 = -5*v. Suppose 5*t + 0*t = i. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.682 less than -0.5?\nAnswer: 13.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103a4 (base 11) to base 8.\nAnswer: -35416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 3. Let a be w(3). Suppose 0 = 3*r + 2*h - 15, -h = -3*r - a*r + 6. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -9*p + 4. Let x be c(-4). Let v(a) = 25*a + 69. Let j(z) = 31*z + 93. Let n(g) = 3*j(g) - 4*v(g). Let i(y) = -90*y + 40. What is x*n(o) - 3*i(o)?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106991370 by -5.\nAnswer: -21398274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -0.2, 45, 33.9976?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79551?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.3, -3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*k - 2*m + 4*m, m + 1 = 0. Is 19 a factor of (9 + -1)*(33 + k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 167 - 4343\/26. Which is greater: 0.2 or o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 3, 2*v - 14 = 28*n - 16*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -932 - 198 = -124*p + 730 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from ppbnvvjpbvvvvrj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*a - 3*a**2 + 26*a - 4*a**2 + 2 + 2 as t*a + m*a**2 + b and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2447, -9789, -22027, -39161?\nAnswer: -61191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-10))\/(4\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Let b(z) = l - 2 + z. Let g(x) = 7*x - 1. Suppose 5*m + 0*c = 5*c - 40, 15 = 5*c. Determine m*b(s) + g(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -11*m + 4*m. Suppose 0 = m*d + 5*x - 14 - 31, -5*x - 15 = 0. Solve 3*b - d = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -3.6. Let x = 164749 - 3130233\/19. Let l = -490\/33 + 44\/3. Which is the nearest to -1\/4? (a) x (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a decade in months?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, 0.01, 27, 22, -4\/5, 8?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 236 - 470. What is the units digit of (2\/6)\/((-13)\/f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3302558890 to the nearest 100000.\nAnswer: 3302600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 45711619 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -235 + 382. Let w = h - 147.000324. What is w rounded to 5 dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 203 - 497. Let k = m + 498. Let b = k + -203.999834. Round b to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7)*3*5)**2 + 2 + 1 + sqrt(1225)\/sqrt(7) + sqrt(7))*-1.\nAnswer: -1578 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 3:36 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -912589.581 and 900?\nAnswer: 913489.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -38, -16, 8, 34, 62?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 53. Suppose 12 = n*w, 0 = 4*v - 3*v - 2*w - 27. Suppose -4*p + 115 = -v. List the prime factors of p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42\/17 in -0.363, 0.1, -3, -1\/4, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 85079016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00238281 rounded to four decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -39. Suppose -18*x = -f*x - 46. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9683349 divided by -5.\nAnswer: 9683349\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321594 divided by 6.\nAnswer: 53599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/5, 3, 46?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28\/9 + -16\/9. Suppose -2*c - 21 - 146 = -w, 4*w + 5*c = 629. Let o = 159 - w. What is the nearest to o in -1\/2, q, 2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 7*t - 8 = -3*h, -5 = 3*t - 2*h. Let l = -2 - -1.8. What is the fourth smallest value in -4, 1, t, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3 + 3. Let j be -1*(v\/4 - 2\/(-4)). Solve j = -s + i - 4, 2*i = -s - 6 - 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 117713.61 to the nearest one thousand.\nAnswer: 118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, 1, -0.2, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 4, -1.\nAnswer: -18, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**5\/20 + 2*g**4\/3 - g**3\/2 + 2*g**2 + 6*g + 6. Let u(l) be the first derivative of z(l). Does 16 divide u(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 13, a: 3}. Give prob of picking 3 a.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 640147 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/16*2*1. Let o = -87 - -86.894. Let t = 0.306 + o. Which is the second biggest value? (a) t (b) k (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -1. Let w = -6 - -2. Put w, s, -2 in descending order.\nAnswer: s, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**1\/x)\/(x**(3\/5)*x) assuming x is positive.\nAnswer: x**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 28. Let p be j(22). Let s be 2\/p*3 + (-12)\/(-4). Let u = 2 + -20\/11. What is the nearest to 3 in 4\/9, u, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**3 + 12*b**2 + 57*b + 6. Let i(j) = -12*j**3 - 21*j**2 - 113*j - 11. Calculate -4*i(m) - 7*p(m).\nAnswer: -m**3 + 53*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -4. What is the third derivative of 0*a**5 + a**2 + 0*a**2 - 3*a**z + 2*a**2 wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*(sqrt(242) + 0))**2.\nAnswer: 34848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4995*t - 19*i = -4997*t + 123, -22 = -3*t - 4*i for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-15) + (-26)\/(-3). Let j = 13 - b. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1282029076 to the nearest integer?\nAnswer: 35805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2035*r + 189*r - 421*r to f*r + m and give f.\nAnswer: 1803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**4 + 410*i**3 + i**2 - 413*i - 1 wrt i.\nAnswer: -72*i + 2460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1069361, 4277461, 9624295, 17109863, 26734165, 38497201, 52398971?\n\"Answer: 1069367*i**2 - i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*x**3 - 9*x - 12*x**2 + 12*x**2 + 18*x**3 - 6 = 0. Calculate x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -132001?\nAnswer: 4\/132001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 21*w**3 - w**2. Let o be d(1). Let n(i) = 77*i - 1115. Let x be n(15). Calculate the greatest common factor of o and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -239 - -239. Which is the nearest to 4? (a) t (b) -6 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1019 + 1214.5. What is s rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/q*q**(-2)*((q\/q**2)\/q)\/q**2)\/(((q*q*((q**2\/q)\/q*q)\/q*q*q)\/q)**(-16)\/((q**(2\/3)\/q)\/q)**(-9\/10)) assuming q is positive.\nAnswer: q**(221\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 - 26*g + 10. Let p be l(8). Let m be 2\/p + 88\/(-24) + -20. Let h = -6 - m. Solve -3*n = -0*u - u + 17, -4*n - h = u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -z + 3964, z + 59*o = 61*o + 3964. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0.4, -2, 10015 in descending order.\nAnswer: 10015, 3\/2, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**4 + 0*z**4 - 2*z**4)*(5*z + 10*z + 4*z).\nAnswer: 19*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -38 - 50. Calculate the greatest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 + 968775650.\nAnswer: 968775649.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8058413000 rounded to the nearest one million?\nAnswer: -8058000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 0*k + 0*k)*(8*k**3 - k**3 + 0*k**3 + 7 - 2*k**3 - 5 - 7 + (2*k**2 + 2*k**2 - 2*k**2)*(2 - 2 - k)).\nAnswer: 6*k**4 - 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1080 + 64105*v**2 + 1918*v**3 - 231*v**3 - 64105*v**2 wrt v?\nAnswer: 5061*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19185, -74978, -167395, -296436, -462101, -664390, -903303?\n\"Answer: -18312*o**2 - 857*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9006294 or -9006293?\nAnswer: -9006293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -15003 + 2*b + 15003. Let a(l) be the second derivative of 1\/12*l**4 + 0*l**2 + 0 + 0*l**3 + 5*l. Calculate a(n(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r**2 + 239*r + 425. Determine n(50).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzfafszw. What is prob of picking 1 k and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -576.0273 + 576. Let d = -0.02729285 - p. Round d to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*h + 39 = b - 135*h, 2*h + 88 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 47*y**2 - y - 1. Let x(f) = -28621 - 28621 + 57242 - 2*f. Calculate x(q(j)).\nAnswer: -94*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*((-126)\/12 - -3). Suppose -4*q = -5*h + c, -5*h = 4*q - 16 + 1. Which is smaller: q or 1\/19?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 819, 3252, 7305, 12978, 20271?\n\"Answer: 810*c**2 + 3*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171))\/sqrt(9)*-5.\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 1. Let i = 17466 - 17468. Let g(m) = -17*m**3 - 2*m**2 - m - 2. Give i*f(k) + g(k).\nAnswer: -15*k**3 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 46*j - 143. Give c(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3275 (base 16) in base 13?\nAnswer: -5b58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (573*q**2 + 568*q**2 - 1120*q**2)*(5*q**2 + 0*q - 3 - 7*q**2 - 3*q).\nAnswer: -42*q**4 - 63*q**3 - 63*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a7 - a18579?\nAnswer: -a18392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11) + 2 + -1 + sqrt(11))**2*-4.\nAnswer: -400 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*q**3 + 0*q - 3 + 3 - 2*q wrt q.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 11952762?\nAnswer: 155385906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 417\/7 - (-24)\/56. Let b be o*(2 - (-2)\/(-3)). What is the greatest common divisor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*t + 32085 = 26053 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 64?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1617470700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**5 + 5*m - 5*m + (0*m**2 + m**3 + 0*m**2)*(-2 + 2 + 2*m**2) + 210*m**5 - 9333*m**4 + 9333*m**4.\nAnswer: 209*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 1 (c) -43 (d) 0.4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1412305 + 8437873\/6. Let r be (-312)\/(-20)*(-386 - -1). Let k = r - n. Calculate the common denominator of -91\/10 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -18 (c) 874 (d) 0 (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1021 - -148334?\nAnswer: 148334.1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296665 is divided by 157?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*u - 5805 + 2085 = 26*u for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3 + 5*a - 5 + 3. Let f(s) = 3*s - 7*s + 3 - 12*s + 13. Give -3*f(u) - 10*l(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 39105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 190 = -109 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112488079 - -198.\nAnswer: -112487881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 9 - 3)*(-7*x - x + 3*x)*(-6*x + 0*x + 4*x) to f*x + l*x**2 + o and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1239*k + 1241*k - 274. Calculate the remainder when k is divided by 44.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113273672 to the power of 1\/3, to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18857, -37608, -56217, -74612, -92721, -110472, -127793, -144612?\n\"Answer: 12*f**3 - f**2 - 18832*f - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkdu when four letters picked without replacement from dmdkkdjkjdkujddu?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from yed.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 7*a - 10. Let v be y(-6). Let u be ((-2)\/v)\/(((-18)\/(-20))\/(-9)). Let n(k) be the first derivative of k**2 + 5*k - 42. What is n(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -32*a + 31*a. Solve 4*j = 5*g + 23, a*g = 2*j - j - 17 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + 21 + -1 + -13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0026 and 1960.11974.\nAnswer: 1960.12234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -45, -1\/5, -0.65, 8.4, 2\/89, -5?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000039 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2)*2*-2. Suppose 3*d + 5*y = 38, 5*d + 2*y = o*d + 26. Solve 2*s - 2 = -3*z, -z + d*z = -3*s + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276 = -39*y + 283 - 553 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 2. Let d = 3.3 + f. Let u = -7 - -8. Which is the nearest to u? (a) d (b) 1\/4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2 + 2 + 3*a**2 - 5*a**2. Let k(c) be the third derivative of 0*c**3 - 1\/30*c**5 + 0*c + 0*c**4 - 2*c**2 + 0. Calculate n(k(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 1 - (18 - (48 + (3 - 13))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/2772)\/((-10)\/90)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 43444 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 304, 623, 946, 1273, 1604, 1939, 2278?\nAnswer: 2621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4 - j**3 + 6*j**2 - j - 3*j**2 + 5. Let t be q(2). Suppose -t*f + 8 = -f. Solve -f*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 0.2078336?\nAnswer: 0.1921664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5272 divided by -2636.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*-2*(-9)\/(-11)*(-95)\/285.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05152 and 4.\nAnswer: 0.20608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 - 2\/(-6). Suppose -k = -4*j + 15. Suppose 0 = -4*x - 16, -2*q - 2*x - 30 = -22. Solve -j*d - t + 0*t = q, -d - 5*t = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irivrvvvviriviiqv. Give prob of sequence rirr.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 6*g + 5. Let x be f(4). Suppose v - 7 = -2. Put x, 2, v in descending order.\nAnswer: v, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*z - 15 = 57, 0 = 3*z. Suppose f*i = 513 + 519. Calculate the remainder when i is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 9*d - 10406 = -10316 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 95. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 + 129 - 172 + 61.\nAnswer: 2*h**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 18\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.31, 0.027, -1?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24984, -50309, -75634, -100959, -126284?\nAnswer: -151609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(57)\/sqrt(3))**2 - ((sqrt(76)\/sqrt(4))**2 + -5) - (2 + sqrt(19) + -2 + -4*sqrt(57)\/sqrt(3)).\nAnswer: 3*sqrt(19) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/7 - (-16)\/(-42). Let k = 6 + -5.9. Which is the closest to r? (a) 0.2 (b) 1\/2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c - 2*c)*(-2 + 2 - 2*c) + 34*c**2 - 551 + 551 + (-4*c - 2*c + 5*c)*(-7*c + 5 - 5).\nAnswer: 39*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from {g: 2, y: 5, h: 2, v: 4}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -37?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.076 + -0.224. Which is the closest to -1\/3? (a) -1\/3 (b) -0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/(-35) - 4077\/(-45). Suppose -q = -5*y + 4*d - 9*d, 0 = -2*d + 6. What is the greatest common factor of y and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/13, 0, -15, 5, 325, 59?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -62. Suppose 5*o = c + 18. Solve 4*k = -k - o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1487 (base 11) to base 16\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - q - 3. Determine a(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19774.\nAnswer: 2, 9887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3735163297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k - 164. Let p(x) = -x - 113. Let g(j) = c(j) - p(j). Give g(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.008597 + 787.074897. Let g = 774 - s. Round g to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbqb. Give prob of picking 1 b and 2 q.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -15*t**2\/2 - 146*t + 62. Let o be j(-10). Solve s = 2*c, 8 - 21 = 5*c + o*s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76243430373813 + 12?\nAnswer: -76243430373801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44159 and -0.3?\nAnswer: 13247.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Let k(o) = -27*o**2 - o + 3*o + 23*o**2. Let q(y) = -11*y**2 + 7*y. Let v(h) = d*q(h) - 7*k(h). Let x(l) = -2*l**2. Calculate v(x(g)).\nAnswer: 24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 646559 - 131631 = 16*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 1 - -2)\/1. Let c = p - 7. Let o = c - -6. Solve o*j - 3*j = 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/28*20272\/724.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 - 104. Let j = -37 - x. Let s = 26.999983 - j. Round s to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpppjvppppvjvv. Give prob of sequence vp.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 99961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*-12*21\/2*5\/5\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 22 + 163. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11780)\/(-2015) - 2*3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 29337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**3\/6 - 3*m. Let j(v) = 18*v - 36*v + 44*v**2 + 18*v. Determine i(j(r)).\nAnswer: -44*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.55034 and -145345.\nAnswer: -145344.44966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**3 - 5*b**2 - 21*b. Let s(k) = -6*k**3 - 4*k**2 - 20*k. What is -5*s(o) + 4*w(o)?\nAnswer: 2*o**3 + 16*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 + 56*c + 20. Let m be l(-19). Solve -3*o - 42 = -m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**7\/840 + a**6\/60 - a**5\/60 + a**4\/12 + 8*a**3\/3 + 26. Let d(s) be the third derivative of j(s). Determine d(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 10 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(2\/21))\/h)\/h**(-1\/10))**(8\/11)\/(((h\/h**2)\/h*h)**31)**(15\/8) assuming h is positive.\nAnswer: h**(538387\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**43\/(m**(1\/3)*m\/(m\/m**9)*m) assuming m is positive.\nAnswer: m**(-160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52168588 by -13042147.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -4. Let u(d) = 14*d - 146. Let s be u(12). Let x = z + s. Is 5.3 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) - (sqrt(6)\/sqrt(2) + 4))) + sqrt(18)\/(sqrt(6)*-2).\nAnswer: sqrt(3)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(4 + 52\/(-12)). Solve q*x + 5 = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86431, -1, -4 in ascending order.\nAnswer: -4, -1, 86431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13853691 divided by 90547.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 3:14 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6900)\/(-161) + -20 - 22.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.802335 * -118\nAnswer: 94.67553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101808440 to the nearest integer?\nAnswer: 10090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 13. Let o(m) = -m**2 - 6*m - 5. What is the units digit of o(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-35))\/(4 + (-66)\/(-4))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142000 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/12 and -43\/124?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -226766 - 4.\nAnswer: -226770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - (1 + -1))\/(-6). Which is the third smallest value? (a) -3 (b) p (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -10*y**3 + 2*y - 5. Let c(l) = -l + 1. Let d(n) = 2*c(n) + m(n). Differentiate d(i) with respect to i.\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 9:58 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -7*w + 2*w + 5*b, 5*w - 70 = -5*b. Let k(d) = 6*d**2 + 5*d + 10. Let t be k(-5). What is the greatest common factor of w and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2766 = -854*z + 393*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + sqrt(1377) + -5 + sqrt(1377) + sqrt(1377) + sqrt(1377) + sqrt(1377) + 0 - sqrt(1377))*-6)**2.\nAnswer: -16200*sqrt(17) + 1240200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 6*s + 3. Let d be f(-6). Let n(o) = -o**3 + 13*o**2 + 2*o - 24. Let j be n(13). Sort d, 1, 5, j in descending order.\nAnswer: 5, d, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**5\/150 + u**4\/60 + 6*u**2. Determine h so that n(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 949064868.\nAnswer: 2, 3, 43, 409, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 + 12*i**2 + 6. Determine l(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 3*g + 2. Let d(o) = o. Let z(q) = 3*d(q) + m(q). Calculate z(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -447673197.2 - 5.\nAnswer: -447673202.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhbbppphhhbupp. Give prob of sequence bu.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 301, 377, 453?\n\"Answer: 76*g + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 14*q**2 - 23*q - 14. Let t be x(12). What is the nearest to t in 6\/13, 3\/7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1432125 to three dps.\nAnswer: 0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 8 = -6. Which is smaller: a or -12\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 796.1046 to the nearest ten.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-3) - (0 - 2). Let q = 52 + -54. Let g be (7 - 9)*2\/(-4)*q. Which is greater: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 4 + 5)*(2*p**2 + 2*p**2 - 6*p**2) + 0*p**2 - 4*p**2 - 10*p**2)*(0 + 0 - p + (3 + 0 - 1)*(p - 1 + 1)) to g + u*p**3 + r*p + v*p**2 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762 is divided by 60.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 6*h = -522. Suppose 0*w + 5*w - h = -c, 0 = -4*w + 2*c + 52. Calculate the smallest common multiple of 13 and w.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503 is divided by 97.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**0)\/(y**(-3)\/y*y))\/(y**8*y**7))**(-2\/31))**(-3\/26) assuming y is positive.\nAnswer: y**(-33\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -315*i**4 - 1136*i**3 + 28935000*i?\nAnswer: -3780*i**2 - 6816*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 11:19 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shoshahawmhmwowamm. Give prob of picking 1 o, 1 m, and 1 s.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 27 = 2*f + 9, 3*f - 4*r - 13 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = 0, -3*m - r + 35 = -35. What is the lowest common multiple of 2 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h - 7. Let y(z) = -3*z + 6. Let j(p) = -5*q(p) - 6*y(p). Give j(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) 1\/6 (c) -2\/23 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - -1. Suppose 3 = -4*b + n. Solve -4*o + b*s + 0*s - 20 = 0, -o + 5*s = 23 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/5)\/(3*(-4)\/40 - (-236)\/472)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p**(-2\/3)\/p))*p**(1\/2)*p*p**(-4)*p*p*p**5*p*(p*p**(3\/5)*p*p*p)\/(p\/p**(-2\/3)*p)*(p*p**(-1\/4))\/(p**(-1)\/p) assuming p is positive.\nAnswer: p**(511\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {z: 1, v: 2, y: 1, c: 1, r: 2, l: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -133 from 0.012.\nAnswer: 133.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47330672 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 138*g - 515 - 328 - 1089 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.2, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4)*(1 - -1). Is w < 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 4*q**2 + 5*q - 3. Let n be l(-5). Let t be (n\/(-3))\/(2\/8). Suppose t*x - 21 = 3. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x - 54 = -5*l, -3*l - 2*x + 50 = 0. Calculate the lowest common multiple of l and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (3\/3 + -14). Suppose -2*p = w + 2*w - 4, p - d = 3*w. Solve -4*r - p*t + 2 = -1, -4*r - 3 = 3*t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 146 + -236. Let o be m\/75*140\/(-6). Let y(a) = 2*a - 11. Let n be y(9). Calculate the highest common factor of o and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 167394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 10*v**2 + 11*v - 10*v + 6*v**3 + 11*v**2 + 2*v + 7*v in the form s*v + b*v**2 + f + i*v**3 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2104900 to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 55) + -23 - -33.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3, 2\/645 in decreasing order.\nAnswer: 2\/645, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - a + 48 = -29, -4*a - 12 = 0. Suppose 0 = 29*f + 163 + z. Let g(v) = -2*v**2 - 16*v - 18. What is g(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 12 = 2*m - 5*m, -3*m + 12 = 4*b. Solve -3*f = 0, -m*j - 6*f = -11*f + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 318042 and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - -2123?\nAnswer: 2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**4*g + 16*c**3 + 2*c**2*g - 2*c*g - g wrt c.\nAnswer: 24*c*g + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.53 and -47.\nAnswer: -24.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86505366305 + 0.2.\nAnswer: -86505366304.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1806 + 1809. Which is the third smallest value? (a) v (b) 3\/4 (c) 0.13 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 735741?\nAnswer: 5885928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 49 = 49*a + 183 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**2 - 2. Let j = -8760 - -8764. Give c(j).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5 + 52*t**4 + 3184*t**3 - 81884*t**2 + 515218*t - 436568 = 0. Calculate t.\nAnswer: -41, 1, 11, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, 1504, -0.5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-6)\/(-20))\/((-6)\/4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 301420?\nAnswer: -301411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(8\/(-20)) + ((-17280)\/(-224))\/(-18)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/1*14*(-6)\/60\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.027 or 690\/19?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 1)*(0 - 2*n + 0) + 3*n + 4 - 4 - 1 - 2*n + 1 + (5 - 2 - 2)*(-n - 3*n + 2*n))*(-4 + 2 + 0)*(-46 + 222 - 48)*(3 + 2 - 4)*(-1 + 3 - 1).\nAnswer: -256*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 13*n**3 - 61*n**2 + 58*n - 211. Let l(a) = -3*a**3 + 15*a**2 - 15*a + 53. Let w(i) = -9*l(i) - 2*r(i). Is w(26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -920 - 2135. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11212 + 210?\nAnswer: 12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0 (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 5*v - 16, 154*v - 22 = 152*v - 4*r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 - -cd?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150806\/213 + 708. Let y = 8754210 - 1864650278\/213. Let f = q + y. Find the common denominator of f and -33\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Suppose -p + 9 = -3. Suppose -p = -g*f - f. Which is the second biggest value? (a) 1\/6 (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/7*-2*(-85)\/(-2244)?\nAnswer: -5\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**23*s*s\/(s\/(s\/((s**(-3)*s*s*s)\/s)))*s*((s**(-26)\/s)\/s)\/s**20 assuming s is positive.\nAnswer: s**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -b - 13, 0 = -3*b - 2*s + 20 - 27 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(5\/(-2))*(-2)\/(-20).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -246.81091 and -0.4?\nAnswer: 246.41091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**9\/336 - 7*i**6\/360 + 2*i**3 - 7. Let d(m) be the third derivative of y(m). What is the third derivative of d(l) wrt l?\nAnswer: 540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214928404 by -101.\nAnswer: 2128004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19992299003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 7*k**2 - 4*k + 2. Let d be r(6). Suppose -g = -10 - d. What is the remainder when g is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1986 + 1971. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.4, 1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9527 + -9531. Let p(q) = q**3 + 7*q**2 + 10*q + 3. What is p(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by -120?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 291705.7?\nAnswer: -175023.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-21 - -4) + (10 + -26 + 30 - 12).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3020, -6126, -9232, -12338, -15444?\nAnswer: -18550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.174277 millilitres in litres?\nAnswer: 0.002174277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 + 6.6. Let u = 6.4 - a. Let n = -56\/15 + 18\/5. What is the second biggest value in -1\/3, u, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -12*s - 15 + 37 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - (-46 - -112) - 14?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*v**2 - 3*v**2 - 217*v**6 + 185*v**6 wrt v.\nAnswer: -3840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244532 and 2869464?\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*p - 14*p = 176. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 12*c**2 + 30*c - 15. Let m be f(2). Put 4, m, 3, 1, 14 in increasing order.\nAnswer: 1, 3, 4, m, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {r: 4, d: 2, a: 8, b: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 18*u**2 - 29*u + 84. What are the prime factors of k(16)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28464?\nAnswer: 2, 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 9.99544. What is t rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207941\/11 at most as big as 18905?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c4589 (base 15) to base 2.\nAnswer: -10010111111010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o = -15*o + 2*k + 8, -4*k = 7*o - 11*o + 68 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 - j**2 + j. Let k be a(1). Suppose -4*f - k*r + 8 = 0, -5*r + 6 = 3*f - 7. What are the prime factors of f*15*(-12)\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 18 = 2*b. Suppose -3*f + 4*n = -111, 3*f - 2*n - 72 = f. What is the remainder when f is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37732829\/276 - -136713. What is the common denominator of j and 13\/483?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y + 9. Let x be w(-7). Suppose -m + 2 = d, 108*d - 105*d = -2*m + 3. Sort -36, x, 3, d.\nAnswer: -36, x, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000192397554 to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -77, -149, -221?\n\"Answer: -72*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xoooooootozxoboxboo. Give prob of sequence xzto.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -67 (c) -0.46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*w - 4*h, -10*w + 23*w - 7*h + 51 + 22 - 23 = 8*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -860*d + 850*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 - 4*l - 4. Let q(s) = -s**3 + 3*s + 3. Suppose -11 - 1 = 3*a. Let y = -4782 + 4779. Calculate a*q(c) + y*d(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 4*u + 62, 8*j + 4*u = 12*j - 52. Solve -5*h - v = -2*h - j, -6 = -3*h - 3*v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 1. Let q be z(1). Suppose -o + 2 = 0, -2*o = -q*a + o + 51. Suppose -7 = 3*x - a. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 862513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1\/6, 6, -1, 74?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -21201 (base 3) to base 10\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -41*g**3 + 8*g**2 - 21*g - 7. Is n(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-12)\/((-3)\/64 - 0\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 10 + 0 - 43 - 48*c + 8.\nAnswer: -48*c - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 93? (a) -4 (b) -3 (c) -2\/21 (d) -5 (e) -0.033\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**4\/24 + h**3\/6 + h**2. Let p be x(-1). Solve 4*c - 6 = 5*v, c - p*v = -v + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -493 (base 12) to base 11\nAnswer: -575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1276, -1173, -994, -733, -384, 59, 602?\n\"Answer: v**3 + 32*v**2 - 1309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgx when three letters picked without replacement from {g: 4, x: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -13, -7, -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-8 - -3 - -2) + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4 = -2*g - 0*g, 3*j - g + 2 = 0. Suppose -560 = -2*r - j*r. What is r rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 31449\nAnswer: -31448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338491356.\nAnswer: 2, 3, 7, 31, 43, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*h - 7 + 7 + 189*h to the form l + x*h and give x.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exw when three letters picked without replacement from weeexrexexmererrxwey.\nAnswer: 8\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 212.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -145106 in -1\/3, -1\/5, 7, 0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 799, 2666, 6297, 12280, 21203?\nAnswer: 33654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((2 - 3) + 2)*-5. Suppose 2*k + 6 = i, k + 3*i = -2 + 6. Let j = -1 + 5. Sort j, b, k in ascending order.\nAnswer: b, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 2:05 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0) + (-3)\/6. Let f = 1 + -2. Let s = 1 + f. Which is smaller: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/(-126) + (-112)\/(-18). Factor -o*w**2 + w + 33*w - 3*w**4 + 15 - 6*w**2 - 18*w**3 - 16*w.\nAnswer: -3*(w - 1)*(w + 1)**2*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a week in hours?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12852 - -12848. Which is the nearest to 44? (a) 5 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 137 = -5*y - 35, -2*k - 14 = -y. Suppose -4*n = -2*n - 12. What is the remainder when (y\/(-8))\/(9\/(-72)) is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-3367812)\/98)\/3*(-3 - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81517.37 millilitres to litres.\nAnswer: 81.51737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(130)*-6 - sqrt(130))\/(-1*(sqrt(10) + sqrt(30)\/sqrt(3))) - (2*-1*sqrt(104))\/((sqrt(224)\/sqrt(7))\/sqrt(4)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/3)\/(3\/(-2)). Let y = 35 - 35.1. Which is the closest to y? (a) i (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3103*l + 71986. Give v(23).\nAnswer: 617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20\/(-5))\/(-4))\/((-3)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1050 and 53550.\nAnswer: 53550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -3, -2, 1\/2, 0.2.\nAnswer: -3, -2, -1\/11, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, a: 1, g: 8}. Give prob of picking 3 g and 1 m.\nAnswer: 224\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-28)\/(p*p**(-1\/16))*p**(13\/2)*(p\/p**24)\/p assuming p is positive.\nAnswer: p**(-743\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.09, 2\/9, -0.147, 124 in descending order.\nAnswer: 124, 1, 2\/9, 0.09, -0.147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1800 divided by -360\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-5 + -4 - -1) - 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -19. Suppose 0 = -4*w - 2 - 6. Suppose 0 = 2*x + 4*u - 8, 3*x + u = -2*x + 11. Which is the third smallest value? (a) x (b) w (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -68 - -4?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2621000 divided by -7.\nAnswer: 2621000\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 4*t**7\/7 + 2*t**5\/5 + 85*t**4\/4 - t**3 - 3*t**2 - 55*t + 2078. Find the third derivative of u(f) wrt f.\nAnswer: 480*f**3 + 48*f + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 1\/6, -5, -12\/91, -3 in decreasing order.\nAnswer: 41, 1\/6, -12\/91, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6468 and 967560.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-a**5 - 3*a + 3*a) - 1881*a**3 - a**2 + 1881*a**3 + 1 - 3*a**5.\nAnswer: -5*a**5 - a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = -5*t + 3*x + 47, 140 = -5*t - 3*x. Let g = t + 35. What is the tens digit of g\/2*(-84)\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 296 - -233. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -206.8 - 8454549.0975\nAnswer: -8454755.8975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. Let p be 6\/(w + 0\/(-1)). Let z(g) = 6*g + 2. Calculate the least common multiple of 6 and z(p).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2 + 1022358*y - 43965092 = 0. What is y?\nAnswer: -511222, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7436 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: Let p be 12\/126 - (-6 - 1925\/(-147)). Suppose -8*b + 3*b = -15. Let n(w) = -w + 6*w**2 - 3*w - 3*w + w**b + 7. What is n(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 4*j - 15. Let w be h(4). Calculate the greatest common divisor of 22 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(5\/154) + 0. Let t be -2 - ((-4 - 151) + 7). Suppose -t = -4*a + r. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83713 (base 9) in base 14?\nAnswer: -161ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-2686)\/(-8) + (75\/(-20) - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/6)\/(-2)*(-9)\/24. Which is the closest to 0.1? (a) 1 (b) 2\/3 (c) v (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 3. Let h(i) = i**3 + 6*i**2 + 2*i + 14. Let c be 18\/15*10\/4 - 9. Let j be h(c). Solve -4*m - y + 15 = 0, -11 = -j*m + 2*y - a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2125\/1512? (a) 5 (b) 2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 12) to base 13\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*u - 30 - 75. Suppose u*p - 7*p + 28492 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x - 10. Let y be d(-13). Let f = 83 - y. Is 70\/21*f\/5 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-98)\/9*(-6)\/(-32) and (15\/(-50))\/(5208\/(-665) - -8).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -y + 10, 2 = y - v + 4. Let s(u) = -y*u**2 - 2*u**2 + 2*u**2. Let a(i) = 2*i - 5*i + 2*i**2 + 3*i. Calculate a(s(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -326*w**5\/5 + 233*w**2\/2 + 393. Find the second derivative of k(y) wrt y.\nAnswer: -3912*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 678 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77883?\nAnswer: 3, 13, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1200 - -5?\nAnswer: -1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -75561, -76217, -76879, -77547, -78221?\n\"Answer: -3*l**2 - 647*l - 74911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(0*n**4 - n**4 - n**4) - 17*n**4 + 6*n**4 - 18*n**4 + n**3 - n**3 - 3*n**4 + 1 - 1 - n**4.\nAnswer: -37*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/270 and -17\/164565.\nAnswer: 329130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17323364, -17323366, -17323368, -17323370?\n\"Answer: -2*w - 17323362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 12. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2374 and 3197?\nAnswer: -7589678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1081453.1 to the nearest ten thousand.\nAnswer: 1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-140))\/1*(-285)\/(-76)*2\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 504 (b) 4 (c) 0.03878\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -130 + 217. Let g(k) = -3*k - k**2 + 80 + k**3 - 3*k - 2*k**2 - p. Determine g(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 7 + 2 = f, -5*s = -f - 29. Suppose s*v = -23*v + 145. Solve 5*k + 5 = p + 33, -v*p - 10 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) 2\/3 (c) 6 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 16 = -32. Suppose 0 = d*n + 20, 5*w - 24 = n - 9. Solve -2*p - 4 + w = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -3*v**5\/100 - 48*v**4\/5 + 193*v**3\/10 - 3115*v. Factor p(o).\nAnswer: -3*o*(o - 1)*(o + 193)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*l**2 + 3*l**2 + l**3 + 5*l**2 to the form w*l**2 + d*l**3 + u*l + g and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**4 + 17*c**3 - 490*c**2 + 2*c - 2434675 wrt c?\nAnswer: -8*c**3 + 51*c**2 - 980*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002522567 to 6 decimal places.\nAnswer: 0.002523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 - 39 - f + 22)*(189*f**2 - 11722*f + 11722*f) to the form t*f + m*f**3 + c + r*f**2 and give m.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 631292307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2 - 2 + 4 + 10*s**2 - 3 + 10*s - 7. Let j(q) = -q**2 + q - 1. Let o(z) = -10*j(z) + w(z). Let b(u) = 4*u**2. What is o(b(f))?\nAnswer: 320*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s + 1. Let b be a(-1). Let v = 2 - b. Sort -2, -4, v in ascending order.\nAnswer: -4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34374822?\nAnswer: 2, 3, 5729137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 152854 bigger than 152857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 1142 = 3*o. List the prime factors of o.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 25*d**3 - 4*d - 24*d**3 + 9*d + 4*d - d**4 to the form s*d**4 + l*d**3 + h + r*d + n*d**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758937?\nAnswer: 3, 252979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1736*s - 7899 = -2231*s + 561*s - 154357 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 558642 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(2\/(-76)))\/(-6))\/(36\/(-324)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) -0.02 (c) 4.2 (d) 1 (e) -9 (f) 2 (g) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fppfw. What is prob of sequence wff?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 + -7?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/72 and -35\/7956.\nAnswer: 15912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 7*v + 2 = 5*z, -z - 4*v + 13 = 0. Is z > 25\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(1 - (-9)\/(-5)). Suppose -z = o, -4*o + 19 - 99 = -4*p. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*q = 3*q - 13, -20 = -2*c - 3*q. Let l be c\/12 + 14\/(-42). Find a, given that -a + 3\/2*a**2 - a**3 + 1\/4*a**4 + l = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 - 36*v + 36*v.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 1375 - 1265 = -4*t + 60*u, 132 = -2*t - 3*u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16054, 32117, 48194, 64285?\nAnswer: 80390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (126201\/372 - 337)*(-1)\/(0 - 9)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**2 + 68 + 203 - 75 - 3*n**2 + 86 to the form w + s*n**2 + k*n and give w.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, 0.2, -3\/17, -2?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -379330 rounded to the nearest one thousand?\nAnswer: -379000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 704\/40*(-17)\/68. Which is the second smallest value? (a) -5 (b) f (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3)*b)**(2\/7)*(b**(1\/2))**43*(b**(2\/3))**14\/(b*b\/(b*b\/((b\/(b*(b\/(b*b\/b**(-1\/4)*b))\/b))\/b)))**27 assuming b is positive.\nAnswer: b**(-2497\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 305, 303, 299, 293, 285, 275, 263?\n\"Answer: -q**2 + q + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 76, 1.\nAnswer: -1, 1, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4 + 1 + 4*h + 4*h - 3. Let o(m) = m + 1. Let t(p) = j(p) - 2*o(p). Let n(b) = b**2. Give t(n(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzwzzwzvwzzzzwzwzz.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/22)\/((-21)\/231). Solve -n*s = 2*s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q**2. Let x(g) = -47*g**2 + 304*g**2 + 221*g**2. What is u(x(m))?\nAnswer: 2284840*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + 10\/(15\/(-3)). Solve -2*t + f*y + 8 = 3*t, -3*t = -4*y - 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -227610518 by -113805259.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + 5513719*p**2 - 11027861*p**2 + 5514142*p**2.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-1\/5)*d*d**(-3\/5)*d)\/((d*d**(-4)*d)\/d**(-2\/5)))\/((d**(-2))**4)**(1\/44) assuming d is positive.\nAnswer: d**(296\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13 times 256\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*s**2 + 121*s**3 + 62*s**2 - 16*s**2 - 31*s**2.\nAnswer: 121*s**3 - 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 11:01 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*354\/(-15)*(-875)\/(-700).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.300577 > -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m**2 + 4*m - 5. Let s(d) = d**3 - 8*d**2 + 4*d - 6. What is -5*s(j) + 6*z(j)?\nAnswer: -5*j**3 - 2*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 10:45 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4931509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -48. Suppose -3*m - 3*p = p - 3, 3*p = m - l. Suppose -1356 = -m*y - 3*s, -2*y - s = 2*s - 546. What is y rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2017643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*a = 3*a, 4*i + 35 = -3*a. Put -3\/4, -0.5, i, 0.4 in ascending order.\nAnswer: i, -3\/4, -0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -145594, -291087, -436580, -582073, -727566, -873059?\n\"Answer: -145493*d - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.7178378 centuries?\nAnswer: 7.178378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 q when three letters picked without replacement from {q: 3, v: 2, f: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**3 - 14*i**2. Let l(s) = -s**4 - 2*s**3 + 13*s**2. Let j(d) = -3*l(d) - 2*t(d). Find the third derivative of j(b) wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21260 (base 12) in base 6?\nAnswer: 533400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23130 - 11?\nAnswer: -23201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/5)\/((-9)\/30). Solve 24 - a = -4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135679632*b**3 - 135682975*b**3 + 459*b + 2726*b wrt b.\nAnswer: -20058*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(500) + sqrt(500) - sqrt(500)) + 5)**2.\nAnswer: -400*sqrt(5) + 8025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -w + 29, -5*b = -5*w + 46 + 69. Let m = 62 + 31. Calculate the remainder when m is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11934 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: Calculate ((-4 - 0) + 1 - -6) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**2 + h. Let t(n) = 9*n**2 + n. Let k(y) = 8*r(y) - 5*t(y). Factor k(s).\nAnswer: 3*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(34\/(-752)) + 50\/(-12325)*29?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30455 (base 6) to base 9.\nAnswer: 5518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*a - 3 = 5, -2 = q + 2*a. Suppose -53 = -q*z + 57. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/3100545 and 169\/1080?\nAnswer: 24804360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c. Let w be (3 + 39\/(-15))*10. Let a(u) = -2. Let h(l) = l + 9. Let j(z) = w*h(z) + 18*a(z). What is j(m(d))?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/4*24\/(-18). Let x = v - 0. Let t be x\/3*(-30)\/4. Solve -4*k - 2 = 5*p, p = -4*k + 1 + t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -406, -2676, -8836, -20830, -40602?\nAnswer: -70096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 32*j. Let d(p) = -11*p. Let h(l) = 17*d(l) + 6*w(l). Let s(u) = 68 - 20*u**2 - 116 + 48. Give h(s(m)).\nAnswer: -100*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1168*c + 52*c - 64660 = 0 for c.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -112, -330, -754, -1456?\nAnswer: -2508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183421*h*i**3 + 33*h*i**2 - 505*h - 3*i**2 - 1 wrt i?\nAnswer: -1100526*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 5. Let t be ((-4 - -1) + n)*3. What is the units digit of (-34)\/t - 6\/(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Suppose 0 = -4*a - 0*a - 4*h - 88, 5*h = a + 16. What is the lowest common multiple of 6 and a\/(-28)*2*f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 31*j**2 + 68*j - 67. Determine f(33).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 27792 = 4*n, -2*n - 23*w + 28*w + 13920 = 0. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 51?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11552 + -11265. Calculate the remainder when a is divided by 108.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*(-1)\/1\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7\/44 - -1\/11. Let v = 5.51 + -0.51. What is the nearest to 2\/5 in v, b, 2\/17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 205543 and 11646024.\nAnswer: 1129664328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d**3\/2 + 151*d**2 - 56*d = 0. Calculate d.\nAnswer: 0, 8\/21, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 7*n + 8. Let h be c(7). Factor -6*b**2 + 2*b**3 - 3*b**3 - h*b**3.\nAnswer: -3*b**2*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-29)\/(-58))\/((-182)\/4). Let l = y - -187\/455. Solve -2\/5 + l*c**2 + 0*c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14569204.1 - -10685.\nAnswer: -14558519.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 19*l - 21*l + 93250, 0 = -4*l + 2*g + 186508. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*r**2 + 8 - 24 - 58*r**2 + 199*r**2 + 16 - 82*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 1808 + 7920 = 0. Let u = 644 - s. What is the remainder when 150 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5200) - ((-1 + sqrt(5200) + sqrt(5200) - sqrt(5200)) + sqrt(5200))).\nAnswer: -5 + 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k = 2*d + 12*k + 14, 5*d - 4*k = -1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 2:01 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 5:27 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -11*h + 3. Let n(l) = -6*l + 1. Let u(c) = 5*n(c) - 3*v(c). Let i be u(6). Suppose 0 = 8*t - 7*t - i. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -89*d**7\/105 - 77*d**5\/12 - 4*d**2 - 20*d. What is the third derivative of x(z) wrt z?\nAnswer: -4272*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 388.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (90 - 143 - 9) + -20?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*p + p. Suppose -1045 = -11*r + 6*r. Let k = r + -203. Solve 2*i - p = k*i, w - 5*i - 17 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11853 + 11853. Let d be 4\/2*(-6)\/(-4). Solve i + s = -d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-18) - (-10)\/45) + -4. Calculate the remainder when 4 is divided by (-2)\/h + (-2)\/16*-28.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 7*y**2 - 4*y - 5. Let x be m(-7). Let g = -16 + x. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - n**2 - n - 8. Let o be x(0). Let j(s) = -2*s**3 - 11*s**2 - 10*s - 11. Is j(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 9:24 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7692 divided by 1282.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 - (26 - 19).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 + f - 31. Let y be i(0). Let k = y + 36. Solve -14 = -3*z - k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, 0.1, 10, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 87.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k = -316283 - 505087. List the prime factors of k.\nAnswer: 11, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240754 divided by -6?\nAnswer: -120377\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5670056 = -5*c + 271*c. What are the prime factors of c?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 0 - (-379 + 388)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3547000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(72)*3)**2.\nAnswer: 180*sqrt(2) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 5*n - 3 - 5 - 7*n**3 - n**2. Let j(p) = -6*p**3 + 4*p - 7. Let v(a) = 6*j(a) - 5*z(a). Give v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 16 - 7 - (-20)\/4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 937 a factor of 6790363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 196 + -189. Suppose j*f + 6*f - 16055 = 0. List the prime factors of f.\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10557*n*z + 1107*n + 305*z - 1135829 with respect to n.\nAnswer: -10557*z + 1107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 483\/(-46)*(-25)\/(-350)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**27*(i**(-2\/3))**(-14\/3) assuming i is positive.\nAnswer: i**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33517895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34073 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 214 and 321?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10178 - 10173. Sort -2, x, 1122 in descending order.\nAnswer: 1122, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -61*g**6\/2 - g**4\/12 + 47*g**2\/2 + 743*g + 1. What is the first derivative of w(q) wrt q?\nAnswer: -3660*q**3 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 40955, -0.5, 0.2, 5 in increasing order.\nAnswer: -5, -0.5, 0.2, 2, 5, 40955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3779 - 180. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -9. Let m be (4 - w)*11 - -3. Let o be (0*2\/m)\/2. Solve o = 4*c + 4*b, -3 = -4*c - c - 4*b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*h - 1269 = 1409. Solve 2 = k - c + 3*c, -2*k = -5*c - h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*d - 3 + 91*d - 6.\nAnswer: 6*d - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 - 2*h**2 - 2*h**2 + (33*h**2 - 15*h**2 - 6*h**2)*(-4 - 2 + 4).\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1833358798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 - 5*k + 6. Let j be i(2). Let n(h) = h + 1. Let t be n(2). Suppose -8*w = -t*w - 15. Solve -2*c - 4*b - 20 = -w*c, -j = c + 3*b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 176 - 148. Suppose 0 = -4*o + 16 + m. Put 0, -2, o, -4 in decreasing order.\nAnswer: o, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*n - 231, 5*n + 132 = 3*p + 9*n. What is the highest common factor of 24432 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 6. Let y(i) = -22*i + 3. Is y(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269 (base 10) to base 13.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -23. Let z(j) = j**2 + 4*j - 2. Calculate the lowest common multiple of r and z(-6).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6932*z + 6935*z - 53 = 2*y, 3*z + 5*y = 46 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z - 18. Let s be k(4). Suppose -s + 10 = 4*t, 3*t = -f - 11799994. What is f rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 15*i**2 + 16*i + 29. Let c be w(16). What is the greatest common divisor of c and 3683?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, 301, 1252, 3103, 6154, 10705, 17056, 25507?\nAnswer: 36358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -m + 3*w, -4*w - 7 = m - w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 - 0.11. Let g = -6 - s. Let z = g + 5. Is -1 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*i - 91*i + 60. Solve 0 = v - s - 1, -7*v - s = -2*v - i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 10, 9 = 2*d + p - 47. Suppose 72 = m + 3*m. Calculate the greatest common divisor of m and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/9)\/x)**(-2\/25)\/(x**(-3)\/(x\/x**(4\/5))))**(-4\/29) assuming x is positive.\nAnswer: x**(-2968\/6525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/3702 and 73\/4.\nAnswer: 7404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*j**2 + 3)*(j**2 - 3*j**2 + 0*j**2) - 2*j**4 + 0*j**4 + 3*j**4 - 116*j**3 + 1 + 116*j**3 - 80*j**4.\nAnswer: -73*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -230*l - 3*l**3 + 221*l + 12*l**2 + 0*l**2.\nAnswer: -3*l*(l - 3)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*u + 152 = 4*q, 2*u = 5*q - 364. Suppose -4*g + q = d - 165, 2*g = 4*d + 114. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/15)\/((90\/(-650))\/(-3)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00044 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -0.5, -0.08, -13\/4.\nAnswer: -5, -13\/4, -2, -0.5, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -1 + 0 - -1. Let x be 15\/(-25)*(-2)\/(-3). Which is the third smallest value? (a) 3\/2 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 24*k + 16 = -28*k, -11*k = -5*y + 44 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 9:57 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 1068.\nAnswer: 7476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 82?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 3:59 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d - 3. Let y be t(-5). Let f be (-16)\/y - (-12)\/(-18). What is the second biggest value in 2, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -749\/1746 - 3\/194. Let i = -2 + 1. Which is bigger: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41.39355 - -0.09645. Round w to zero decimal places.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2. Suppose -4*x + 0 + 12 = j. Let i(b) = b + 2. Let k = 5 - 3. Let d(c) = -c - 3. Give k*d(r) + x*i(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*sqrt(325))**2 - ((5*sqrt(39)\/sqrt(3) - sqrt(13)) + sqrt(52) + -3)**2.\nAnswer: -152 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/11 + 19\/22. Let -q + 0*q**2 + q**3 + j - 1\/2*q**4 = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*((sqrt(33)\/sqrt(48))**2 - sqrt(11)).\nAnswer: -20*sqrt(11) + 55\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 1716.\nAnswer: -8580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 831*m**2 - 974*m**2 + 133*m**2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00028202477 to 5 dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 2*p + 1 + 4*p + (-8 - 5 + 1)*(2*p - 4*p + 4*p))*(-4 + 3 + 0)*(-2 - 6 - 6)*(2 - 3 - 1).\nAnswer: 644*p - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**6\/360 + 5*p**4\/2 - 32*p. Let d(q) be the third derivative of x(q). Let s(k) = 10*k. Determine s(d(m)).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxn when three letters picked without replacement from wnbnbxwnx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (11*44\/242)\/((-12)\/40)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**(-6)\/r)\/r*r))**18*((r*r**(-6))\/r*r)**(-34) assuming r is positive.\nAnswer: r**314","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 5*t + 8. Let v be b(-5). Suppose 0 = -3*p - 2 + v. Suppose 0 = -p*m + 4*m - 5*h - 146, 2*m = -5*h + 126. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 17153520.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19a340 (base 11) to base 4.\nAnswer: 1022311221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -4 (b) -21\/46 (c) 111\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l**3 + 211*l**2 - 416*l - 49. Give n(28).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 68*o - 53*o - 18*o - 262 - 73 - 53*o. Determine r(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = 41*y + 41 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1 + sqrt(5))**2*4 + -4).\nAnswer: -100 - 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 2*i + 2, 47003*i + 149 = 27*m + 47007*i + 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/4*10\/5. Suppose 0*z - 4*z + 16 = 4*q, 0 = u*z - 5*q + 4. Suppose 10 = z*i + r, -4*i - 4*r + 25 - 9 = 0. What is the least common multiple of 4 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, -2, 11, 0.2 in ascending order.\nAnswer: -2, -0.5, 0.2, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11085377 to the power of 1\/2, to the nearest integer?\nAnswer: 3329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49 + 361*t - 48 - 440*t)*(0*t + 3*t - 5*t) + (4 - 2*t - 4)*(2 + 0 + 0)*(3*t + 0*t - 6*t) - 8*t + 7*t**2 + 8*t to r*t**2 + u + i*t and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -8.2. Let o = 18\/35 - 484\/805. Sort r, o, 1 in ascending order.\nAnswer: o, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1559 by -1.\nAnswer: -1559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(117)*-4 - sqrt(117)))**2 + 4)*3.\nAnswer: -270*sqrt(13) + 8814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2997733 divided by 163?\nAnswer: 18391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14264, -16268, -18286, -20324, -22388, -24484?\n\"Answer: -b**3 - b**2 - 1994*b - 12268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1122 (base 4) to base 8\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -648855.15 plus -1.5766?\nAnswer: -648856.7266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 16 = -13. What is the second derivative of -70*q + 5*q**d - 21*q**3 + 78*q wrt q?\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*((-16)\/(-10) + -2). Let l be m\/(-4)*0\/2. Differentiate l - 6*n**3 + 3*n**3 + 3 with respect to n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1828248 and 408?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 55*h - 142. Let p be s(3). Suppose p*c = 34*c. Solve c = 5*k - 28 + 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5596 is divided by 315?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/2 (b) -99\/7 (c) 0.2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7534814734 rounded to 4 dps?\nAnswer: 0.7535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s. Let p = 0 + 2. Let r(g) = 2 + 1 - 3 + p*g. Calculate n(r(m)).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 15 = 0, -4*t - 164 = 4*n - 564. What is the remainder when 278 is divided by t?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 42, 98, 178, 282, 410, 562?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 238 - 199. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 820 and 1435?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -18\/11, -2, -5, 1\/2, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7440895 and 2008?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 112 times -77\nAnswer: -8624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -8 + (-2 - 2) + 5 - -7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18412.\nAnswer: 2, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/11))**(-6\/17)*v*v*(v**(-1\/13)*v)\/v*v\/v**(-4\/3) assuming v is positive.\nAnswer: v**(31276\/7293)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -5.04. Let r = -0.04 + z. Is r <= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -133191\/2 greater than or equal to -66596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, h: 2, g: 1, i: 4, w: 6, d: 2}. What is prob of sequence ifdg?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9*c**2. Let z(j) = 24*j - 5. Calculate a(z(y)).\nAnswer: 5184*y**2 - 2160*y + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -9*y + 133. Let s be q(15). Put 6\/5, 1, s in increasing order.\nAnswer: s, 1, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -486663 (base 9) to base 5.\nAnswer: -33343401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 7 = -p - 5*h, -4*p = -4*h + 8. Let w = p + 5. What is the closest to -0.1 in w, 3\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - -4) + -13 - 18.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 6:40 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000149 to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -62 (c) -136 (d) -0.188 (e) 0 (f) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*a + 5053 = 369, 3*u = 2*a + 7045. List the prime factors of u.\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44955692 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 27*l + 78. Calculate the remainder when 34 is divided by s(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4220606)\/(-30) + 8\/60 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -34\/13?\nAnswer: -34\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1595*l + 55. Let x(s) = 59*s - 2. Let i(k) = 165*x(k) + 6*z(k). Let d(w) = 2*w**2. Give d(i(b)).\nAnswer: 54450*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 113 times -6573\nAnswer: -742749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -924*u + 35030. Determine p(37).\nAnswer: 842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) -0.1 (c) 3\/5 (d) 1\/3 (e) 0.303\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oomromoooomomorr. Give prob of picking 3 o.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.859 + 0.379. Let i = -7.52 - w. Which is the biggest value? (a) 1\/4 (b) 3\/5 (c) i (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*g - 68*g + 96628. Calculate the highest common factor of g and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21.3 - 21. What is the third biggest value in f, 0.02, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 6*i**2 + 3*i + 1. Let q be z(-6). Let k = 6395 - 6400. Put -4, q, k, 1 in descending order.\nAnswer: 1, -4, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**6\/120 - w**5\/15 + w**4\/6 + w**3\/6 - 11*w**2. Let d be (-3 - -1)*(-1 - 0). Let s = -7 + d. Calculate t(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 - (-3 - (-4 - 1)). Let v(b) be the third derivative of -1\/60*b**5 + 0*b + 0 + 7\/6*b**3 + 1\/3*b**4 - 2*b**2. What is v(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + f**2 - 12*f + 8. Let z be d(-4). Suppose -2*b + z*b - 492 = 0. List the prime factors of b.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-36)*p)\/(p*p*p\/(p**(-2\/87)\/p))*(p**(-12\/11)\/p)\/(p*p**(2\/57)) assuming p is positive.\nAnswer: p**(-255465\/6061)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 - 6*v**2 + 7*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w + 2*w - 2*w**2 + 3*w**2 - 319 + 22*w + 7*w.\nAnswer: w**2 + 5*w - 319","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 66*v - 14. Calculate k(-2).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = 5*f + 6, -f = -4*l - 20. Suppose -2*t + 11 - 5 = f. Solve 0 = 2*s - t*s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**2 + 2*j + 1. Let c(z) = 4*z**2 + 2*z + 1. Suppose -2*i = 3*i - 20. Let a(n) = i*c(n) - 3*w(n). Factor a(x).\nAnswer: (x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**2 + 39*y - 460 - 112*y - 147*y = 0. Calculate y.\nAnswer: -2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.923 and -0.15.\nAnswer: -0.58845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5246010, -5246017, -5246024, -5246031, -5246038, -5246045?\n\"Answer: -7*k - 5246003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 248.\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50469, -100931, -151393, -201855, -252317?\nAnswer: -302779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/130*10 - ((-2538)\/(-780) - 3)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004679138 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**9\/10080 - s**7\/560 - s**5\/20 + s**2. Let r(u) be the third derivative of q(u). Find the second derivative of r(t) wrt t.\nAnswer: 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/27, -3\/5, -0.51, -1, -0.7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151974443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/251, -1\/6, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 1113*a**2 - 25 - 11)*(2*a**2 - 2*a**2 + 2*a**3).\nAnswer: 2226*a**5 - 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.1 + 0.1. Let c = -2 + 1.2. Let k = -0.3 - c. Sort -0.3, z, k in increasing order.\nAnswer: z, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 501*-3.32\nAnswer: -1663.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljjl when four letters picked without replacement from lljllllljlljll.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3064167*u - 6330216*u + 3266048*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/36 + 87\/(-27). Let p = y + 9. Suppose s - p*s + 165 = 0. Solve 8 - s = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 + -49. Calculate the highest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + u - g - 11 = -2, -4*u + 2*g = 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 16. Suppose -s*u = -4500 - 678. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 23 - ((65 - 51) + -10).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 + 1244*d**2 - 87637*d - 264. Calculate k(81).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11808669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s + 12*s**3 + 4*s**4 + 1 + 4 - 5 + 12*s**2.\nAnswer: 4*s*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 5*g**2 + g + 3. Suppose -6*f = -2*f. Suppose -3*y - b = 14, -2*y + 7*y + 2*b + 23 = f. Let j be d(y). Are -1 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/117 and -32\/351?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 287105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-2) - -194 - 2. Let w = -287 + l. Round w to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041255 rounded to three dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 418*v - 709. Determine w(2).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 5. Give z(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-27) - (-25)\/9. Which is the closest to d? (a) 5 (b) 2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(84) + -4*sqrt(84)*6))\/(3*sqrt(300) - (sqrt(12) - sqrt(972)*2)).\nAnswer: -23*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (4 + 344\/12)\/((-2)\/(-42))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*s - 137*s + 3078 = -1107*s - 4527 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 384, 776, 1192, 1644, 2144?\nAnswer: 2704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o - 58*o**2 + 57*o**2 + 6*o. Let m be g(0). Solve -3*a + 14 - 5 = m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780754416?\nAnswer: 2, 3, 13, 277, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3010 and 4816.\nAnswer: 24080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7054431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 + 16*u**2 - 11*u + 9. What are the prime factors of i(7)?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8125)\/150 - -54 - ((-47)\/30 - 3)?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 45?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -2 - 1\/80*d**5 + 0*d**2 + 1\/24*d**3 - 2*d + 0*d**4. Let r(z) be the first derivative of l(z). Factor r(u).\nAnswer: -u*(u - 1)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1507*m**2 - m**4 + 1534*m**2 - 4*m**3 - 3035*m**2 - m to y*m**4 + h + p*m**3 + o*m**2 + w*m and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**0*j**0*(j**(2\/5)*j*j)**(9\/4))\/((j**1)**(-36)\/((j\/j**1)\/j)**(13\/2)) assuming j is positive.\nAnswer: j**(359\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30735 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1518 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5483 = 13958. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12265*w - 49235807 + 49235807 in the form i*w + l and give i.\nAnswer: 12265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 19*j + 28. Determine u(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i + 3. Let o = -27 - -11. Let g = o - -17. Let c(j) = 1. Let l(n) = g*b(n) - 3*c(n). Let x(h) = -3*h. Calculate l(x(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4) + 0)\/(4\/40)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -8*f + 5485. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.111948 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -470.1 + 572.1. What is the smallest value in v, -4, -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (17 + 10) - -23?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x - 119 = -o, 496 = 4*x - o. Calculate the remainder when x is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2905*f - 48*f**2 - 2905*f - 21*f**2.\nAnswer: -69*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114*c*n**3*w**2 - 2*c*n**3 + 5353*c*n + 31413*c*w**2 - 2604*c*w + 2*n**3 + 5*w**3 wrt w?\nAnswer: -228*c*n**3 + 62826*c + 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2. Let k(p) = 112*p - 40. Determine d(k(x)).\nAnswer: 12544*x**2 - 8960*x + 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - w + 3*w - 18 + (2*w - w - 3*w)*(-29 - 4 - 15).\nAnswer: 98*w - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 6 = z, 6 = 2*z + z. Let y(t) = -4*t**2 - 10*t - 1. Let j be y(-6). What is the tens digit of j\/(-10)*g*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -602 = -224*g - 154 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(18\/(-2) + (10 - 7)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9075\/4 + 2269. Which is the second smallest value? (a) 1 (b) -5 (c) s (d) -10\/447 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7777.053ng?\nAnswer: 0.000007777053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 38 - 4*f + 7*f - 75*f**2 + 78*f**2. Is o(-6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2334 - -3294. Is 71 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c5 + b?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1748 - -1752. Let f(a) = -a**2 - 10*a + 11. Let u be f(-11). What is the nearest to -0.05 in c, -5\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/2 + 4638*v + 68036976.\nAnswer: -3*(v - 8456)*(v + 5364)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 5993.\nAnswer: 215748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18, 46, 92, 156, 238, 338, 456?\n\"Answer: 9*f**2 + f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20 - 3*(-182)\/(-39). Which is the nearest to 9\/4? (a) y (b) -2\/7 (c) 4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5658 divided by -23?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19641 + 19646. Let f = 969\/4 - 241. Which is the fourth smallest value? (a) f (b) 3\/2 (c) -0.6 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p. Let j be i(-2). Let g be (j\/6)\/((-2)\/(-6)). Calculate the remainder when 32 is divided by g*(-1 + 0) - -13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 24?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 + -261453042?\nAnswer: -261453101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 533*l - 162770899 = 95195771. Round l to the nearest one thousand.\nAnswer: 484000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 3*c**2 + c - 2. Suppose -217 = 11*g - 778. Calculate the remainder when g is divided by j(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z. Let u(y) = 2*y + 4. Let i(q) = 23*q + 92. Let o(n) = -i(n) + 23*u(n). What is o(d(t))?\nAnswer: -115*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -114*x**7\/7 + 26*x**3\/3 - 73. What is the third derivative of g(j) wrt j?\nAnswer: -13680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 127, 365, 847, 1693, 3023, 4957?\n\"Answer: 20*f**3 + 2*f**2 + 92*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2027684?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.843 - 2.743. Is 58 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 338 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 + -65. Let d(s) be the third derivative of -s**4\/12 + 3*s**3\/2 + 9*s**2. Give d(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5928441 to the power of 1\/2, to the nearest integer?\nAnswer: 2435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5706, 23458, 53022, 94380, 147514, 212406, 289038?\nAnswer: 377392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212 divided by -2?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14006198 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 + -35)\/((-10)\/(-40))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -8. Suppose 0*s + 4*s - 24 = z. Suppose s = 5*n - 14. Let g(y) = -5*y**3 - 11. Let x(b) = 2*b**3 + 4. Calculate n*g(p) + 11*x(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9196, 35231, 78618, 139357?\n\"Answer: 8676*x**2 + 7*x + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2040*j. Let r be c(5). What is r rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316588003.\nAnswer: 2221, 142543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -22\/1142419?\nAnswer: -22\/1142419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 3\/2 (b) 0.5 (c) -6\/11 (d) 2 (e) -7803\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/5314562 and 127\/242054142?\nAnswer: 2662595562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 610081\/48 + -12707. What is the common denominator of z and 131\/114?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**8*o*o**(-7))\/(o**(-1)\/o*o*o*o*o)**(-30))**45 assuming o is positive.\nAnswer: o**2790","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (70\/252)\/((-10)\/(-6)). Put -24, -4, z, -1\/2 in decreasing order.\nAnswer: z, -1\/2, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 50?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -14*v + 100. Let x(a) = -2 + 0 - 4 - a**2 + 8*a. Let g be x(v). Solve t + 4*w = -g, -w - 3*w = 3*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*j + 1074, -590 + 46 = -j - 2*a. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2.2 (b) -40 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/966 - 13\/966. Which is the closest to p? (a) -1\/2 (b) 2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277060, -276933, -276722, -276427, -276048, -275585?\nAnswer: -275038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10412*z - 10426*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/12799 - 12807\/51196. What is the closest to -1\/4 in 1\/2, -0.13, 3\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 120\/36*(-9)\/6*1. Suppose -5*a + 7 + 13 = 0. Let z(j) = 3*j**2 - 4*j + 7. Let q(n) = 0 + 8 + 2*n**2 - 3*n - 2. Calculate a*z(c) + b*q(c).\nAnswer: 2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-444)\/1110*110\/32.\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p - 134 + 413 = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4263 and 14916.\nAnswer: 63586908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d + 16. Suppose 5*f - 11*v + 40 = -6*v, 3*f = 5*v - 30. Let w be q(f). Let a = -54 - -485\/9. Which is bigger: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00054374 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500243 (base 8) to base 6.\nAnswer: 3303135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143*0.244.\nAnswer: -34.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 350994187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 725 divide 251060250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31501 + 32521. Calculate the greatest common factor of 50 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9208*o + 3*u - 45 = 9205*o, 5*o + 15 = 4*u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 7*f - 7. Suppose -3*v - 14 = 1. Let t be h(v). Let u(n) = 4*n - t*n - 3*n. Let p(q) = 2*q. Give u(p(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 24. Let n be h(5). Suppose 2*j + 5 + 1 = 0. Let x(b) = -10*b + 5. Let c be x(j). Calculate the greatest common factor of c and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 10.5375061.\nAnswer: 14.5375061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1375 + 322. List the prime factors of y.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i + 9521*i**3 - 9472*i**3 - 4*i - i**2 to the form d*i + r + k*i**2 + f*i**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 5*d**2 + 5. Let k be o(-5). Suppose k*n - 68 = n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124750 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0041026761 rounded to five dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 97 - 3?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaacnaapinupaaai. Give prob of picking 1 c and 1 a.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 80 = -5*d, 4*j - 3*d = 276 - 41. Let l = -52 + j. What is the remainder when 7 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-5)*225\/990.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z + 4. Let d be f(-4). Let b = d + -7. Let x = b + 17. What is the remainder when x is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = -5*q + 519. Let a be q\/28 - (-2)\/(-4). Solve -1 = h + a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -809 + 1302. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 9*c + 17. Let p be n(3). Let b = 1 + p. Let v be b - (-3 + 6) - -20. Solve -u - 1 = 5*l, 5*l = -4*u + v - 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -75, -11, -3, 104 in ascending order.\nAnswer: -75, -11, -3, 4, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 48*7029\nAnswer: 337392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/6 of a century?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 4*v**2 - 4*v - 4. Determine w(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**4\/24 + x**3\/3 + 2*x**2. Suppose -2*l + 5 + 3 = 0. List the prime factors of p(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(143) - (sqrt(143) - ((sqrt(143) - sqrt(143)*-2*-4) + sqrt(143))))\/(-1*sqrt(704)))**2.\nAnswer: 2925\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, n: 3, x: 6, e: 1, j: 2}. Give prob of picking 3 m and 1 n.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/9 - 8583733*w**2\/9 - 17167469*w\/9 - 2861245\/3.\nAnswer: (w - 8583735)*(w + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/1280 and -167\/14400?\nAnswer: 57600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - a + 1. Suppose -11 - 1 = 12*g. Let d(s) = -81*s**3 - 6*s - 65. Let b(f) = g*d(f) + 6*y(f). Find the first derivative of b(i) wrt i.\nAnswer: 225*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-115)\/(-105) - 1)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 92\nAnswer: 27\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5511 divide 475901898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -3, -226, 0.18, 0, 1\/7?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s. Let d(m) = -3*m**2 - 6*m. Determine d(k(z)).\nAnswer: -12*z**2 - 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*t**2 + 1 + (t - t - t)*(0*t + 0*t + t) - 16*t**2 - t**2 + 4*t + 32*t**2.\nAnswer: 12*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19795.856 - 42.856. Let p = -19752.80989 + r. Let v = p - 0.19. What is v rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**3\/3 + 7*o**2\/2 - 3*o - 139. Let y be c(6). Solve k - 5*f - 14 = 1, y*k + 4*f = -31 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18435 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12732.\nAnswer: 2, 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -37. Suppose o*a - 3396 = 7*a. Let d = a + -749. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -2\/3, -1, 1\/6, -2\/7 in descending order.\nAnswer: 1\/6, -2\/7, -2\/3, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26279\/18 - 1461. Find the common denominator of ((7\/(-98))\/((-2)\/(-408)))\/(-4) and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 0*j**4 - 4\/3*j**3 + 0*j**6 + 0*j**5 - 1\/7*j**7 + 0*j**2 + 0*j + 4. Find the third derivative of i(u) wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 811657, -2, -1\/5, -0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -16.930989.\nAnswer: -5.0792967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*j + 5*k, k - 5 = -5*j + 39. Solve 4*p - j*y + 3*y + 25 = 0, -8 = p - 3*y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 714*d**3 - 781*d**3 - 42*d**2 + 42*d**2.\nAnswer: -67*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(78) + sqrt(78) + sqrt(78) - (sqrt(78) + sqrt(78)*-1*-1 - sqrt(78)))\/(-4*sqrt(600)*-2*4).\nAnswer: 7*sqrt(13)\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2 + sqrt(468) + sqrt(468))**2*-4 + sqrt(468) - (sqrt(468) + 2 + sqrt(468) + 2)**2).\nAnswer: 846*sqrt(13) + 28176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20, -27, -36, -47, -60?\n\"Answer: -y**2 - 4*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.396 + 0.104. Which is the second biggest value? (a) -6\/11 (b) 10 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f + 35 - 68 + 33.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -497698*f**3 - 2*f**2 + 5870*f + 723 wrt f.\nAnswer: -2986188*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1955683237?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o + 3. Let k(u) = 2*u - 1. Let h(s) = -2*k(s) - t(s). Determine h(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67 - -67.00141. Round h to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -204 greater than or equal to -1024\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.19646 and -0.03.\nAnswer: 1.16646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 401.89 to the nearest ten.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 + 165*i\/2 - 36075.\nAnswer: 3*(i - 130)*(i + 185)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/45545, -2\/65, 9, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**5)**(-6)\/(q**(-1))**35 assuming q is positive.\nAnswer: 1\/q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, y: 1, r: 1, n: 1, g: 2, k: 2}. Give prob of picking 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 239041226?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27048 - 13524 + 10*j + 3*j**2 - 13524.\nAnswer: 3*j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2 - 394\/4. Suppose -667 = 3*a - b, 2*a + 372 = 2*b - 70. Let v = i - a. What are the prime factors of v?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-4))\/((-15)\/(-200)). Suppose -y*w - 168 = -46*w. Suppose -t - 5*j = 2*t + 13, -4*j = -2*t + w. Solve h + t + 4 = -3*i, i = 5*h + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + a + 3. Let s be r(0). Suppose -4*f = -5*d - 15, -s*f = 2*f + 2*d + 6. Factor 2\/5*l**2 + f + 2\/5*l.\nAnswer: 2*l*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 165780.216us?\nAnswer: 0.0000002741075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 8*v = -6*v - 798, -5*v + 4010 = 5*d. Suppose 9*n - 403 = -t + 6*n, -5*n = 2*t - d. What are the prime factors of t?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 315 = 300 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.323 and 805.\nAnswer: -260.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5*o + 234 + 286, -106 = -x - 3*o. Suppose 0 = -3*a + 2*j + x, 4 = -a - 2*j + 49. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 255 and 999770.\nAnswer: 2999310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1255898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*sqrt(114)*6)\/(sqrt(36)\/((3*sqrt(60))\/sqrt(10))).\nAnswer: 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, 1\/4, 3\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 - (3 - (5 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 1}. What is prob of sequence qq?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9050180*q**5 + 62*q**2 + 2*q + 7702 wrt q?\nAnswer: -543010800*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 8. Let f be (0 - -2)\/(1\/2). Let y be (-2)\/(-7) + 10\/14. Solve -y - f = -w*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 17630824.\nAnswer: 1763082.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**4\/23 + 70*m**3\/23 - 524*m**2\/23 + 456*m\/23 + 3600\/23 = 0.\nAnswer: -2, 6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqsfh. What is prob of sequence qs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*s + 220 = 76*s. Solve 3*j + 42 = -s*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2*d + 2)*(4 - 6 + 4) - 4*d + d + 5*d)*(-4 + 3*d + 4)*(d**3 + 4 - 4).\nAnswer: 18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 2\/23, 0.09, -39, -3\/7, -2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9056996*p**2 - 9056999*p**2 - 9057001*p**2 + 36227992*p**2 - 9056996*p**2 + 6*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -1533 (b) 3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, k: 10}. Give prob of sequence kgkk.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**4\/12 + u**2\/2 + 14*u. Let z be c(-1). Suppose z*x = 15 + 21. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -13*f**3 - 2914*f**2 - 441*f + 198. What is n(-224)?\nAnswer: -1370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -98 divided by -591\nAnswer: 98\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5835 = 24*g - 6843 for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2163263 divided by -2163263?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*u**3 - 278*u**3 + 184*u**3.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4812780 and 735.\nAnswer: 4812780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 3:56 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 2*k - 5*v = 34, v + 14 = 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/16 + (-10)\/(-32)*-6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.786136 centuries?\nAnswer: 178.6136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3 = -4*v, 3*v = -v - 8. Let p = 70 - 72. Sort p, -5, o in increasing order.\nAnswer: -5, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + (-99)\/9)\/12.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - h - 9. Let c = 9 + h. Let f = c + 7. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*6\/9)\/((-140)\/42)*20\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 - 6792*m**3 - 20349*m**2.\nAnswer: -3*m**2*(m + 3)*(m + 2261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2938, 2279, 1462, 409, -958, -2717, -4946, -7723?\nAnswer: -11126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 + 75. Suppose 4*z - 12 = -4*q, -4*z - i = -3*q - 9*z. Suppose 0 = -q*h + 127 + 413. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*o + 4*o - 3 = 0, 0 = r - 4*o + 11. Suppose t = -4*y + 9 + 6, 5*t + 2*y = -15. Let p = r - t. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 11:12 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 543 - 547. What is the smallest value in 0.1, o, -2, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 395178 and 1164?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1580, -5939, -13196, -23357, -36428, -52415?\nAnswer: -71324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*9\/324*-4\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - 7 - -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, -3, 0.569, -1\/5 in increasing order.\nAnswer: -3, -1\/5, 0.569, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/43124 or 0?\nAnswer: 3\/43124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 6*b**2 - 5*b + 8. Let z be g(5). Calculate the remainder when 105 is divided by 18\/z*(-224)\/(-42).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*f + 362*f + 18 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-8)\/6 - 6\/9). Solve 0 = -5*n - 3*w + 3, 4*n - s = 4*w - 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 2. Let k(c) = -29*c**2 - 17*c - 55. Let z(h) = 10*h**2 + 6*h + 19. Let g(y) = 6*k(y) + 17*z(y). Determine -21*d(f) + 6*g(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.47825 to 2 dps.\nAnswer: -19.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 1\/1080*g**6 + 0*g - 1\/3024*g**8 + 0*g**4 + 1\/945*g**7 + 0*g**3 - 36*g**2 - 1\/270*g**5 + 0. Suppose b(i) = 0. What is i?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-9) - 84\/(-108)*35. Suppose 0*z + z - 25 = 0. Which is bigger: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 382586.3nm?\nAnswer: 0.0003825863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 466 - 466. What are the prime factors of 1928\/32*(b + 8)?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -39. Let g be 2\/(-3) + 424\/q. Suppose -2*k + j - 6 = -j, -k - 3*j + g = 0. Solve -3*o = k*o + 25, 5*h = -o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1034 is divided by (8\/(-16))\/((-10)\/((-320)\/(-1)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + -10 - (6 + -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2581\/315 - 32\/105. Find the common denominator of s and ((1332\/(-480))\/(-111))\/(2\/590*-6).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**3 - 2772*c**2 + 1918221*c + 3847538 = 0.\nAnswer: -2, 1387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v + 24. Give h(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3\/20, 2\/7, -6, 0.2, 21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 297650 and 16?\nAnswer: 2381200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 1. Let p = -3 - z. Let d = -0.17025 + 0.07025. What is the third smallest value in p, d, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.088, -2\/29, -0.01, -0.1, 29 in ascending order.\nAnswer: -0.1, -2\/29, -0.01, 0.088, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 868305?\nAnswer: 3, 5, 107, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 1. Let s(a) = -a**3 + 6*a**2 - 4*a. Let b be s(5). Let j(q) = -10*q - 6. Let o(g) = b*j(g) + 30*u(g). Let r(w) = -2*w. Calculate r(o(d)).\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1\/8, -4, 222.47 in increasing order.\nAnswer: -13, -4, -1\/8, 222.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66828 + -4229470939.\nAnswer: -4229537767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -577000 rounded to the nearest one thousand?\nAnswer: -577000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 1)*(-23 + 23 + 5*p)*(-4*p + 0*p - p) in the form v*p + y + g*p**2 and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002291171.\nAnswer: 3, 7, 23, 43, 48259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1241.2 * -0.51\nAnswer: 633.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from yccyycccccyycc.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3*t*t**5*((t\/(t\/t**6))\/t)\/(((t\/(t*(t*t*t\/(t\/t**1)*t)\/t))\/t)\/t))\/((t**(-1\/3))**(-12))**(-47) assuming t is positive.\nAnswer: t**207","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.4 + 6.4. Sort 5, -5, b, -1\/3.\nAnswer: -5, b, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x + 12. Let m be a(6). Let p = -10.8 + 11. What is the nearest to 4 in m, -3\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - 36. Let t = 468 - h. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -111, -164, -217, -270?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 4*s + s)*(3*s**3 - 5*s**3 + 0*s**3) + (-5*s - 2*s + 18*s)*(4*s**3 + 3*s - 3*s).\nAnswer: 34*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.0222678 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0)*(-18)\/6. Let k be 2\/(-6)*h\/8. Let b = 3.3 - 3. Sort -1, k, b.\nAnswer: -1, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -933 and -0.7.\nAnswer: 653.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 6. Let f(y) = 917*y - 4. Calculate -f(s) - r(s).\nAnswer: -916*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 - -64. Let s(h) = 0 + h + x + 22. Is 7 a factor of s(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 27 = -2*i + 86, -5*f = -0*i - i - 94 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 290493.7 nanograms?\nAnswer: 0.0000002904937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4.414, -0.1, 3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6 = 5*y - 2*y, 4*y = -3*h + 8. Put 1, -3, y in decreasing order.\nAnswer: y, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(44\/10 + 25\/(-5)). What is the highest common divisor of w and 425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from mbdxamxg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 591 + -4133\/7. Which is the second biggest value? (a) o (b) 239 (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500)*-5)\/((sqrt(21)*-1)\/sqrt(7)).\nAnswer: 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*c - 20 = 0, -69 = -4*t + 5*c - 27. Suppose 0 = i - 4*i + 6. Suppose -i*m + 5*m = 45. What is the remainder when m is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-7) - 132\/(-28). Let d = 3 + m. Let w = d - 5. Solve w*u + 15 = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16610 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*i - 21*i - 15*i**2)*(4 - 3 - 4) as c*i**2 + x*i + w and give c.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -117\/16604?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 19. Suppose 5*s + v - 6 = 0, -s - w*v = -2*v + 6. Suppose 2*m - q - 6 = q, -5*m + 24 = 4*q. Solve -s*t = m*g - 0*t, 0 = g - 2*t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.5 - 15. Let w = 8 + -6. Which is the nearest to 2? (a) 1 (b) w (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -4. Let m(s) be the second derivative of -s**4\/12 - s**2\/2 + 3*s. Let f(i) = -i**3 - i**2 - i + 6. Let r(h) = k*m(h) + f(h). Determine r(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -980.7 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 3\/8, -7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 4:38 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 195.07\nAnswer: 97.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 238 + 98 = -35*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from mkk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 74?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 34. Let y be n(36). Solve -3*k + 13 - 2 = 4*f, y*f - 3 = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25668521 = -16*m + 21*m + 3*j, -j = -2*m - 10267393. What is m rounded to the nearest 100000?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 138361768*g + 2392997355510728.\nAnswer: 2*(g + 34590442)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 25*g**2\/6 - 15880*g\/3 + 6350\/3 = 0.\nAnswer: 2\/5, 1270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 8 = z, l - 3*z - 5 = 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*t - 7*t + 30. Which is bigger: -32\/25 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**2 - 2*x. Let z(o) = -o. Determine d(z(l)).\nAnswer: -5*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrarrrrarrrrrarrrrra. What is prob of sequence ara?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/5)*u)**20*u**(-9)*u*u*u**(-2\/5)\/u)**(2\/3) assuming u is positive.\nAnswer: u**(196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4949 - -4?\nAnswer: -4945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 12:36 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/119*(-63)\/(-864)*-10?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150742.\nAnswer: 2, 575371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 81924779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i + 83. Let c be k(10). What is the highest common divisor of 36 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3\/3 - 190*z**2 + 6800*z + 3179000\/3 = 0.\nAnswer: -55, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -53.86. Let o = d + 0.24. Let c = -239\/190 + 22\/19. Sort c, o, 1 in descending order.\nAnswer: 1, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**6\/30 + h**5\/4 - 2*h**4\/3 + 2*h**3\/3 - 48*h. Factor v(l).\nAnswer: -l*(l - 2)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 3*p - p)*(-1 - 2 + 1) + (4*p + 0*p + p)*(-20 + 51 + 93)*(3 + 0 - 4) + 4*p - 6 + 6 + (-2 + 3 + 1)*(0 + 0 + p) - p + 0*p + 0*p.\nAnswer: -611*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*i = 62*i - 99. What is the greatest common factor of 132 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**8\/336 - d**6\/72 + 2*d**3\/3 - 2. Let r(m) be the third derivative of u(m). What is the third derivative of r(o) wrt o?\nAnswer: 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2685 is divided by 332?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 6 = 4. Let w be 3*(-1 - -3) + a. Solve -3*v + w*n = 0, -3*n + 0*n - 9 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3475.\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*sqrt(19)*-2.\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 8*x**2 + 10*x - 21. Does 25 divide s(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.162 (b) -0.2 (c) 1 (d) 1\/5 (e) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**0))\/s)**(-5\/11)\/(s**(2\/3))**(-20) assuming s is positive.\nAnswer: s**(455\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 15 = -111. Let f be b\/(-24) + (-6)\/(-9). Solve -h - f*h - 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b**(-6)*b)\/b))\/b)\/b)\/b*b\/b**(-1\/7)*(((b**(-6)*b)\/b)\/b)\/b*b*b**(-1\/10)*((b*b**(-2))\/b*b*b**4*b*b)\/(b\/b**(2\/3))**(-43) assuming b is positive.\nAnswer: b**(3649\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -720*m + 50402. What is r(70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*p + 14 - 3*p - 12 + p wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001814647665 to 6 decimal places.\nAnswer: -0.001815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 37*m + 7. Is s(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11260)\/3378 + 11\/(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 59072, 118136, 177200, 236264, 295328?\n\"Answer: 59064*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5324 and 4?\nAnswer: -21296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000812295153 rounded to 6 dps?\nAnswer: 0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 t, and 1 o when three letters picked without replacement from {k: 2, m: 2, t: 2, x: 5, o: 2, w: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2 - 2 = 0. Let a be 7154\/21168 + 6\/(-16). Which is bigger: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4514431193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -418320 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 + 32 = 0. Let z = u + 49\/4. Let o = 122\/147 - 8\/49. Which is the third biggest value? (a) -0.1 (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s + 6. Let q be v(-8). Let u = 25 + q. Solve -4*h + 8 = 3*j, 2*h + 5*j - u - 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2\/3 + 140*b - 14700 = 0. Calculate b.\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25 or 25389?\nAnswer: 25389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4cc (base 13) to base 4\nAnswer: -31030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -18\/5, 4\/11, 0.05, 0.5?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 7*f**2 + 31*f + 11. Let h be l(-10). Calculate the highest common factor of h and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -5519249?\nAnswer: -5519251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*x + 424, -2*x = -3*x. Let a = 1 - 2. Calculate the smallest common multiple of 18 and b\/6 + a\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 705 and 1880?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*v + 4*a, -5*v + 10 = -2*v + 42031*a - 42030*a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - ((-2)\/2 + 1). Let j be (-6)\/3 + (0 - 0). Let c be (-9)\/(-4)*j\/3. Sort y, 3\/7, c.\nAnswer: c, y, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001695 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1924.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 444, 708, 1142, 1740, 2496, 3404, 4458, 5652?\nAnswer: 6980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1599066 is divided by 149?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1064 and 931?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -37191603 greater than -37191604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12297015 by -1305.\nAnswer: 9423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -50*r**2 - 54*r**2 - 2 + 2 + 106*r**2. Let m(x) be the second derivative of -23*x**3\/6 - x. Determine n(m(j)).\nAnswer: 1058*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.55 (b) -241 (c) 40.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48766509 and 16255503.\nAnswer: 48766509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(6)*4) - (-4*sqrt(192))**2 - (1*(5 + 1*sqrt(108) + sqrt(108)))**2.\nAnswer: -3529 - 479*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1471*p - 3*k - 174 = -1462*p, 0 = 5*p - 3*k + 120 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 168 + 45. Suppose 17*n + 20 = 22*n. Suppose 5*d - 2*d - 2*y = -8, -d + n*y + 4 = 0. Put 1, d, c in ascending order.\nAnswer: d, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59937 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o**3 - 4*o**2 + o - 1. Let s be 6\/21*1*-7. Let h be q(s). Let n = 1 + h. Solve 4*u + n = 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(42) - sqrt(168)\/sqrt(4)) + sqrt(42))\/sqrt(3))\/(sqrt(2) - (sqrt(2) + (sqrt(2) - 5*sqrt(2)*-3))).\nAnswer: -sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (159 + 19*x - 159)*(-16 - 16 + 5).\nAnswer: -513*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -51*u - 250. Determine v(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/10 of a century?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -535523 - -5320?\nAnswer: -530203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22546.\nAnswer: 2, 11273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from kkkkakkxxxxkx?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -72. Solve 0 = 5*d - 7 + o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/4 (b) -6 (c) -116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-2) + 2241*97\/(-9021)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 39. What is the third biggest value in g, 1, 1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -13\/4*a**4 + 0*a**3 - 54*a - 11 + 3\/2*a**2. What is the derivative of o(k) wrt k?\nAnswer: -39*k**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 + 182 = 3*q. Let l = -1.44 - -1.54. Which is the nearest to l? (a) -0.5 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -35 + 5. Let s be 187\/((-7 + 4)*q). Let h = -35\/6 + s. Put h, -1\/6, 3 in decreasing order.\nAnswer: 3, h, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5))**(-2\/59)\/(((f*f*f**(-5)*f)\/f)\/((f\/(f**0*f*f))\/f)) assuming f is positive.\nAnswer: f**(291\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 7:07 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 - (18 - 21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 6*n + 3. Let i be h(6). Let d = i - 0. Find the second derivative of 4*y**d - 4*y**3 - 3*y**5 - 2*y - y wrt y.\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*p = 98, 5*t - 6*t + 5*p = -40. Is 4 a factor of 308*((-21)\/(-15) - 12\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 30. Suppose 2*z - 8 = -4*m, l = z + 3*z + m - 9. Solve -z*a + a = 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vis when three letters picked without replacement from {i: 3, s: 3, v: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 418*s**2 - 1307*s**2 + 431*s**2 + 374*s**2 - 1.\nAnswer: -84*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 18*b - 18. Let w be ((-47)\/(-376))\/((-2)\/(-112)) - -8. Give n(w).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74609, -298676, -672123, -1194950, -1867157, -2688744?\nAnswer: -3659711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-401.\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 387977.5t in milligrams?\nAnswer: 387977500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2 = -u - 10, -5*a + 27 = -4*u. Let x(y) = a*y + 7*y - 4*y - y. Let f(i) = -i. What is x(f(t))?\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 136 + -132. Solve -2*s - 5*y = -4*s + 27, 19 = -s - x*y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1039*h + 2058. Is q(12) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.194461 days to nanoseconds.\nAnswer: 103201430400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -155, -774, -1799, -3224, -5043, -7250, -9839?\n\"Answer: k**3 - 209*k**2 + k + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1263 - 1817. Let l = f - -553.999999487. What is l rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from {a: 3, u: 2, h: 10}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166483395 and 1105.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 6953\/204 - 19?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/9, 0.2, -3\/2, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/17*d**3 + 2\/17*d + 0 + 4\/17*d**2 = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*o = -3, 5*m + 0 = -3*o - 19. Let k be -1*(-4 - (m + -1 - -1)). Solve 2*g + k*g + 4 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**6\/3 - 62*b**5\/5 - 85*b**4\/2 - 50*b**3\/3 + 86*b**2 + 112*b - 5196. Solve o(r) = 0 for r.\nAnswer: -28, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*60\/(-8)*17\/(-1615)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23759558607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 - -43. What is the smallest value in -5\/4, -1, -2\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 6*t**2 - 5*t + 4. Let l be p(-5). Suppose -5*n + 3 = -l*n. Is (-3414)\/(n\/(-1)) + 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30116?\nAnswer: 2, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 6\/(-8) + 71\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 1920?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*j - 58, -2*t = t + 5*j + 259. Let v be t\/(-3) + 2 - -1. Let z = 56 - v. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/13)\/((s\/(s\/(s\/(((s*s**(-1\/4))\/s)\/s))))\/s))\/((s*s\/(s\/(s\/(s**0*s))*s))\/((s*s**(2\/17))\/s)) assuming s is positive.\nAnswer: s**(-1069\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 368*s + 12201. What is m(-33)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2cbb (base 13) to base 8.\nAnswer: -14660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -8. Let b be (0\/(-2))\/(q + 2). Let a(l) = l**3 - l**2 + l + 5. What is the units digit of a(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + g = -3*r + 16305, -3 = g. Suppose 2*m - r = -4*i, -5*m - 16311 = -7*m - 3*i. Round m to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + 2*x**2 + 11 + 3*x**2 + x**2 as u + v*x + f*x**2 and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53\/5 - -10. Let v be (6\/4)\/((-9)\/18). Let u be (-1)\/v*45\/12. Which is the second biggest value? (a) x (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from {q: 3, u: 1, y: 6, n: 4, k: 3, x: 2}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-135)\/567)\/(650\/(-936)).\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8292042 + -0.4\nAnswer: -1.2292042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4\/5, -5, -8\/9.\nAnswer: -5, -2, -8\/9, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4499974808?\nAnswer: 2, 7, 80356693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -42*z**2. Let n(a) = -111 - 13*a + 240 - 129. Determine n(d(h)).\nAnswer: 546*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2501705 less than -2501562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 5. Let g(j) = j**2 - j + 4. What is the remainder when s(-10) is divided by g(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3072661?\nAnswer: 19, 59, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -77. Suppose 54*k = p*k + 1100. Calculate the highest common factor of k and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(130) - 2*(sqrt(130) - (sqrt(130) - (sqrt(130) + (sqrt(130) - 1*sqrt(130))))))*5)\/(-6*(2*sqrt(80))\/sqrt(8)).\nAnswer: -2 + 5*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.213197 micrometers to kilometers.\nAnswer: 0.000000008213197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/15 - (-11)\/((-440)\/(-23808))?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0. Let j be 4\/(-16) + (-42)\/(-104). Let s = 414.8 + -415. What is the closest to q in -0.3, j, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -500 - -507. Suppose -4*r - f*r - 66 = 0. Let s(l) = -3*l**3 + 7*l**2 - 5*l + 7. Let t(o) = -2*o**3 + 4*o**2 - 3*o + 4. Give r*s(a) + 10*t(a).\nAnswer: -2*a**3 - 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39262120 - 9*r - 39262135 + 78524255.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/3626 and -54\/5.\nAnswer: 18130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*l + 47*l - 6 + 2 + 1 as u*l + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824 equal to 1822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75\/4 + 19. Which is the closest to 0? (a) x (b) -4\/7 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -2*g**5\/5 + 36*g**4 - 554*g**3\/3 + 342*g**2 - 272*g + 7726. Suppose s(z) = 0. Calculate z.\nAnswer: 1, 2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 1 + 7 + h**2 - 97*h**3 to the form w*h**2 + c*h**3 + m*h + x and give c.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 120\/11, -5, -3\/4, -1.3, 2?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**2 - 1541245*u - 16953090 = 0.\nAnswer: -308238, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 88*z**3 - 529*z**2 + 1071*z - 6396. Calculate a(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-10) - (-81)\/45. Suppose -p + 5*v = -t, 3*p - 5 + 2 = -5*v. Is p equal to -2\/369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*v**4 + 5*v**4 - 7*v**4 + (-v**4 + 0*v**4 - v**4)*(5 - 2 - 1).\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 6*u - 7*u + 32, 0 = -2*j - u + 11. Calculate the least common multiple of j and 10\/(-4)*(-1 - 1).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-12)\/1*-1. Suppose -l - 42 = -4*z - 1, z - 4*l - u = 0. Is 10 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0068, -5\/3, 5 in descending order.\nAnswer: 5, 0.0068, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 35\/4, 3, 31, -3, 37, 4, -0.4?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a. Let i(h) = -8*h**2 + 7*h**2 + 1 - 1. Give i(m(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/456247 and 22\/419.\nAnswer: 191167493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 + j**2 - 2. Let d(t) = 265*t**3 + t**2 - 17*t - 2. Determine -d(x) + s(x).\nAnswer: -267*x**3 + 17*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6410 and 1054145.\nAnswer: 1351413890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*g - 184*g = -25. Suppose 2*m - 10*u + 7*u = 5, m - 4*u = g. Which is the nearest to 0.06? (a) m (b) 4 (c) -2\/9 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**3 + 5*h**2 + 34*h + 1. Let d(q) = 2*q**3 + 3*q**2 + 17*q + 1. Let v(k) = -3*c(k) + 5*d(k). What is the remainder when 14 is divided by v(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101220001 - 20?\nAnswer: -101220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8089 = 429*a - 3065 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9291.\nAnswer: 3, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -a + 11. Suppose 2*n - 4*s - 16 = -2*n, 0 = 4*n - s - 13. Solve -4*z = -p + 5 - 1, -a = -4*p + n*z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.6338624 to the nearest integer.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 5:33 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19694.53 years in decades?\nAnswer: 1969.453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/63 and -17\/133?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -10*y**3 - y**2 + 1 + 4*y**2 - y**2 - 2*y. Suppose 0 = -d + 2*v - 2, 0 = 2*d - v + 11 - 22. Suppose 14*l = d*l + 6. What is g(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(66)\/sqrt(6)*2)**2*4.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 45 = 12*l - 17*l, -5*l + 3*x - 29 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -812 * -285\nAnswer: 231420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5 + 5 = 0. Let c = -6 - f. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 441 = 3*b, 2*b - 2 - 8 = 0. Let u = -84 + v. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1581 - -e?\nAnswer: -1573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o + 18 - 18)*(-2 + 2 + 6) + (-3 + 4 + 2)*(5*o + 0*o - 4*o) in the form f + w*o and give w.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 741755 divided by 104.\nAnswer: 741755\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*m**2 - 6*m**5 - 16 - 12*m + 13*m - 9*m**5 + 20*m**4 - 20*m**4 wrt m.\nAnswer: -300*m**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/21 and -1\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -88*o**3*r - 2*o**3*y + 14*o**2*y - 3*o**2 + 37*o*r*y - 11 wrt r?\nAnswer: -88*o**3 + 37*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b**3 - 9*b**2 - 7*b + 1. Let a(o) = 6*o**3 + 8*o**2 + 6*o - 1. Let c(n) = 6*a(n) + 5*u(n). What is the least common multiple of 3 and c(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 10. Let u be d(-7). Suppose -3*y + 48 = 3*x, 2*y - u*y + 11 = -4*x. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 3*t**2\/2 + 14*t + 22834. Suppose 3*a - r = -15, 0 = -4*a + 2*r - 18. Give d(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94475714159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 5*k + 12. Suppose -3*q + 2*q + 2 = 0. Let c be z(q). Let m be (11 - 51)\/(c\/8*1). Calculate the greatest common factor of 20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*i = -1404, 2*i = 4 - 14. Let x = 463 + q. Which is the smallest value? (a) 0.3 (b) x (c) 11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1165*i**3 - 382*i?\nAnswer: 6990*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*t - 8. Let k = t + 11. Suppose 4*u = -k*c + 108, 4*c = 7*c - u - 61. Solve -4*g + 3*d + c = g, -2*g + d = -9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -2 - (109 + 4 + (3 - -2 - 4))?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 + 59. Sort 4, 2, l, 5 in ascending order.\nAnswer: l, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 1. Let z(p) = -p. Let d(y) = -7*t(y) - 6*z(y). Determine d(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009173?\nAnswer: 3, 11, 53, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -970 divided by 194\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -22. Suppose a*k + 3*i - 19 = 0, -3*k = 2*k + 2*i - 20. Let u = -17 - -19. Calculate the smallest common multiple of k and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -20*a**2 + 1529*a - 1529*a. Let o(k) = k**2. Let n(j) = -3*o(j) + s(j). Let h(q) = 2*q**2. What is n(h(g))?\nAnswer: -92*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a kilometer in meters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 0*k + 2*h - 1, 5*h = 5. Let w(a) be the third derivative of a**5\/60 + a**4\/24 - a**2. What is the units digit of w(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 5*g = 6. Let q(h) = -h**2 + 4*h + 2. Let f be q(4). Suppose 5*w - 3*s - f = 13, -5*w + 15 = 5*s. Solve -w*o = -6*o + g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(4\/9)*k*k*k*k**15\/k*k*k**(-1\/17)*k**(-1)*k assuming k is positive.\nAnswer: k**(2813\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*x + 14. Suppose 3*n + y + 9 = 4*y, -2*n = -x*y + 15. Solve 5*q + 14 + 11 = n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53\/1855)\/(1\/(-5)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 671807485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -49. Let k be ((-12)\/4 - -1) + 8 + 4. Suppose k*s - 164 = 106. Which is smaller: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s - 4. Give i(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*v - 19 - 5, 4 = -y. Solve 0 = -k - 4 + v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/((-2)\/1334 + (-13 - -13)) is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 132 + -130. Is b not equal to 0.27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -29, -37, -41, -41, -37?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 2*v - 4. Let c(z) = -77*z**2 - 3*z + 2084. Let g(p) = c(p) - 3*u(p). Differentiate g(s) with respect to s.\nAnswer: -148*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 6*y + 20. Let q = y - -7. Suppose -2*b + 24 = 4*b. What is the remainder when b is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/255*9\/108*-30)\/((-48)\/6).\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by -468.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78.95 + 86. Let y = -0.05 + f. Let m = 6.999932 - y. Round m to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4450 + 4640. What is the greatest common factor of 950 and d?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2196*s + 3875 - 17876 = 10871 + 5872 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 13*j**5\/5 + 4*j**3 + 11. What is the third derivative of o(t) wrt t?\nAnswer: 312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346054464 a multiple of 4087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24267 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13223114 - -444?\nAnswer: 13224113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -o + 2*o. Let y = o + -2. Solve y = 4*f - 5*f + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 151\/7 - 62\/3. What is the common denominator of l and 14\/(-33) + (-5)\/((-45)\/(-6))?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -t + 5, -3 = -5*s + 2*s + 3*t. What is the common denominator of 1396\/(-60) - -3*2\/10 and s\/3 - (-164)\/(-30)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -701 = 547*c - 940 - 1949 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73875 + 171253. Let a = -245127.9299988 + r. Let l = a - 0.07. Round l to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.71 + -10.31. Let p = s - -3.1. Let d = p + 0.6. Round d to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/35 in -0.2, -6\/5, -0.36, 10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - p + 41, -c - 4*c - 3*p = -33. Calculate the least common multiple of c and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-25)*b*b*b**(3\/5) assuming b is positive.\nAnswer: b**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -62712027 to the nearest 100000.\nAnswer: -62700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 155026981 divided by -157\nAnswer: -987433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 2*o + 116, 2*o - o = -2*c + 46. Suppose 0 = -3*f + 3*m + c, 4*m - 9*m + 9 = 2*f. Suppose 0 = f*v - 3*v - 632. List the prime factors of v.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67119.3 - 67119.3389963. Let b = 0.681 - 0.72. Let j = b - w. Round j to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -271\/60 + 133\/20. Let w(r) be the first derivative of 16\/5*r**4 - k*r**3 + 2\/5*r**2 - 5 + 0*r. Factor w(f).\nAnswer: 4*f*(4*f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15235 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7830 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -34*k - 1305. Let p be a(-38). Let z(h) = -6*h - 78. What is z(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29.4 + -4.44. Let h = x + 0.84. Are -1\/2 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9267 * 116761\nAnswer: -1082024187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 5. Let o be l(0). Let g(r) = -r**2 - 11*r - 1. Let s be g(o). Suppose -4*a = -s - 3. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from mfbbmfbfmkbbkffmm?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**4\/4 + 4*f**3\/3 - 25*f**2\/2 - 75*f. What is the remainder when u(6) is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.16 + 2.94. Let f = -24 + m. Which is the closest to -2? (a) 0.2 (b) -2\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**29)\/u**(4\/21) assuming u is positive.\nAnswer: u**(647\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/7, 2, -10, 1, 24.67?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3*(7 + (-41)\/2). Let p = 29\/3 - t. Which is the nearest to -2? (a) 0 (b) p (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 5*i + 207. Suppose -3*x + 16 + 0 = h, 0 = 5*h + 4*x - i. Let u be (-58)\/15 - (9 - h). What is the second biggest value in -10\/3, u, 1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 350?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49183.46 + -48781. Let o = 399 - m. Round o to 1 decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95 - -72) + (-4 - 7) + 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30449 + 30473. Suppose -5*r = -r. Sort z, -2, r in decreasing order.\nAnswer: z, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 539*y**3 + y**2 - 9*y + 5. Let j be n(7). Let w = j - 118868. Round w to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*k = 0. Solve 0 = -2*n - k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129642688?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w + 171. Suppose 15*p = -6*p + 630. What is the remainder when 41 is divided by b(p)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 523869491 and -1.\nAnswer: 523869490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 22.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4989700 rounded to the nearest ten thousand?\nAnswer: -4990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 31417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 11*l - 140. Let j(d) = -d**2 + 14*d - 30. Let i be j(l). Let w(x) = x**2 - 12*x + 9. Give w(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 960*m**2 - 171*m**4 + 0*m**6 + 32*m**6 - 4*m**6 + 172*m**4 wrt m?\nAnswer: 3360*m**3 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311 + 1?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**3 - 2*a**2 + 2. Let f be v(-2). Let l = f - 7. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.021 + -11.721. What is the closest to -2 in -4, -1\/6, a, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*h - 117*h - 236 = 442 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18687 - -19570. Calculate the remainder when y is divided by 284.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -162*f + 146. Calculate l(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/2*(1 - 3). Suppose c = -q*c + 16. Find the first derivative of -4*s - 1 + c*s + 2 - s**2 wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -131, 166, -3, -2, -77 in decreasing order.\nAnswer: 166, -2, -3, -77, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-1 - 2)*-2. Let v be 52\/3*3\/2. Suppose 4*x = b*x - v. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -22*o - 14. Let u be v(-8). Suppose -2*z = -8*z - u. Find the common denominator of -21\/10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 + 5*x**2 + 102*x - 5 - 103*x + 2*x**4 - 14*x**2 + 5 to the form u*x**4 + q + v*x + h*x**3 + c*x**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*b)*(8*b - 3*b - 2*b)*(-3 + 3 + 5*b) to the form h*b**3 + r*b**2 + j*b + i and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 24 + 121*g - 8531*g**2 - 64*g - 57*g as m*g**2 + l + k*g and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-1)\/3*-3. Suppose 3*n = y*s + 14 - 5, n + 5 = 5*s. Suppose 0 = n*l - 0*l - 70. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/88 and 5\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -591*g - 786. Let p be y(-6). Calculate the greatest common factor of p and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333962, 333964, 333966, 333968, 333970, 333972?\nAnswer: 333974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-1)\/(1\/(-4)). Let v(k) = -k**2 + 2*k**2 - 7 - 11 + b*k. Let q be v(-10). Solve 4*z + 2 + q = -5*u, 4*u = -4*z - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176 is divided by 640.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z**2 - 3 + 163*z - 3*z**2 + 5*z**2 - 159*z - 4*z**2. Determine b(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 + 85. Let z(s) be the first derivative of 2*s**4 + 8*s - w + 76 - 34. Find the first derivative of z(p) wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.24, 2, 0.1 in descending order.\nAnswer: 2, 1, 0.24, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52378500.\nAnswer: 2, 3, 5, 34919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41708617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 11*q**2 - 11*q + 14. Let r be u(-12). Let k be r\/15 - 88\/(-15). Suppose -11*m - 83 + 116 = 0. Solve -3*f - m = -k*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69093792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -25, 14, -0.5, -8, 0.1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -52716709*b + 268829556 wrt b.\nAnswer: -52716709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 8:55 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 6569*a - 6567*a + 13141*a in the form k*a + t and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4642\/844)\/((-1)\/2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(17)*-1)**2 + ((4*sqrt(272) - sqrt(17)) + sqrt(17) + (sqrt(17) - (sqrt(68)\/sqrt(4)*1 - sqrt(17))))**2.\nAnswer: 4932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 23*h**2 - 33*h - 33. Give s(5).\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10227 by -3523.\nAnswer: 10227\/3523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 33*n**2 - 26*n + 36. Let h be v(35). Solve -1559*c + 136 = -h*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by 1414277?\nAnswer: -41\/1414277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3376, 3378, 3382, 3388, 3396, 3406, 3418?\nAnswer: 3432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-1 - (-5 - -32))) + -9 + 9\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -1\/4, 2, 3, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(1 + 14\/(-8)). Let x(r) = -11*r**a + 8*r + 0 + 10*r**3 + 9*r**2 - 1. Is x(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9186462 micrograms in tonnes?\nAnswer: 0.0000000000009186462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13b37 (base 12) to base 9.\nAnswer: -41707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfrfuuruffslxxr. What is prob of sequence uu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 10:26 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441712 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20945 - -22725. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(0*o - o + 0*o)*(2 - 4 + 3 + 0 + 3 - 5 + (1 - 4 + 1)*(1 - 3 + 0))*((-5 + 0 + 3)*(-3 + 0 + 4) - 335 - 440 + 527).\nAnswer: 750*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(3 - (-28200002)\/(-9400000)). Round y to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 32. Suppose -f*l + 6 = -3, -2*l - 42 = 2*m. Is (m\/20)\/(-3)*35 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1801\/9 + -201. Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viv when three letters picked without replacement from {e: 2, i: 1, v: 4, n: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 140\/(-8)*(1 + (-22)\/10). Suppose -18*n = -q*n - 3. Which is smaller: -9\/7 or n?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003294562 to seven decimal places.\nAnswer: -0.0000329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5062*c**2 + 2539*c**2 + 2521*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23986 and 22912?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7122\/5 + -28473\/20. Suppose 9*y + 9\/2*y**2 + g*y**3 + 6 = 0. Calculate y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -i + 2*o, 2*o - o + 14 = 3*i. Let n(b) = b**3 - 5*b**2 + 4*b + 5. Let t be n(4). Calculate the greatest common factor of i and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 57 from -0.0587.\nAnswer: -57.0587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8129*b + 8060*b - 4 - 5)*(28*b - 28*b - 9*b**2) to the form t + y*b**3 + j*b**2 + w*b and give j.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155589, -622366, -1400327, -2489472, -3889801, -5601314, -7624011?\nAnswer: -9957892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -17*(100\/12 - 8)*3\/(-1). Let j = -7 + 12. Suppose -3*p + 3 = -i, -i + 0 - 2 = -2*p. Solve i = -q + z - 4, j*q - 6*z + 4*z + x = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 8*y**2 + 6*y - 13. Let c(q) = 3*q**3 + 17*q**2 + 12*q - 27. Let p(a) = -3*c(a) + 7*f(a). What is the remainder when p(-3) is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -0.2, -2\/7, -47?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 4)*(-24 - 60 + 13)*(3 - 3 - 2*i) as u + p*i and give p.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0.1, -0.454, -2\/13, -146?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -13, -69, -179, -361, -633, -1013, -1519?\nAnswer: -2169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2601 and 930?\nAnswer: 806310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/727 - 1444\/3635. Let g = -8.0893 - -0.0493. Let r = 0.04 + g. Which is bigger: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/2118 - 0)\/(12\/18). Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18919, -89, 19 in descending order.\nAnswer: 19, -89, -18919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 11541040 + 50741040 = 0. Round q to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*w - 90 = 0, -4*w = -j - j + 12. Calculate the highest common factor of 35 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-38))\/(7*9\/24486). Which is bigger: 122 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -5\/4*s**4 - 13*s + 1 + 1\/4*s**5 + 5\/3*s**3 + 0*s**2. Factor g(x).\nAnswer: 5*x*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293518687 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 + -12. Let c = i + -153\/4. What is the closest to c in -4, 2\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14916159073 - -21568764567095\/1446. Let w = l + 314\/241. Let h = w - -1008. Calculate the common denominator of -23\/20 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4622 + 208?\nAnswer: -4414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17094*x + 7668*x + 17967*x + 4971*x.\nAnswer: 47700*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-17)\/(255\/(-18)))\/(4\/150). Let d be -2 + 3\/2*62. Let p = d - w. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1505 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -254*y - 46. Is 27 a factor of v(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 36*w - 42*w. Solve 0 = -18*m + w*m - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/(-52) - (-8146)\/4. Calculate the greatest common divisor of 42 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 c when two letters picked without replacement from {g: 2, y: 2, r: 4, c: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -181*p**5\/10 + 5*p**3\/6 - 4*p**2 + 2*p + 33. Find the second derivative of u(v) wrt v.\nAnswer: -2172*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01035585086 to six decimal places.\nAnswer: -0.010356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-72)\/(-84))\/(3\/14). Let s(p) = 0 - n*p - 378*p**2 + 372*p**2 - p**3 - 4. Calculate s(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**4\/5 - 5*b**3 - 222*b**2\/5 - 160*b - 896\/5 = 0.\nAnswer: -8, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 3*h**2 + 7*h - 21. Let l be a(3). Suppose l = 5*m - 4486 - 15879. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3046680 or 0?\nAnswer: 1\/3046680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34608652 divided by 19799.\nAnswer: 1748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i + 4*g = 20, 13*g + 12 = 3*i + 11*g. Let z(d) = -d**2 + 3*d - 2. Let b be z(2). Let 1\/3*k**i - 4\/3*k + b = 0. What is k?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.309, -3.4, 15, 1\/5 in descending order.\nAnswer: 15, 4.309, 1\/5, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + h = 20, 5*h = -2*w + 6. Let g(b) = 10*b**3 + b + 4. Let i be g(3). Let y = -160 + i. What is the greatest common factor of y and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (16 + -42) - (30 + -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*f + 25*f - 286. What is the remainder when 63 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t - 4*s, -25 = 5*t - s. Let r(w) = -5*w**2 - 2*w + 7. Let m(h) = -h**2 + h. Let l(i) = t*m(i) + r(i). What is l(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3426644 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -3*w, 0 = -w - 3*w + 4*t + 32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7373 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*g + 29. Let f = -104 - -91. Let a = g - f. What is the remainder when a is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y = -15. What is the lowest common multiple of y and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 493 divide 433329579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*r + r = 0. Suppose -f - 2*d - 8 = r, 0 = -3*f - d - 3 + 4. Solve 4*u = 4, 5*b = -0*b + f*u + 23 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bboobobbbboobbbobbo. What is prob of sequence bbb?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j**2. Let w(l) = -216471*l**2 - 5*l + 2. Determine w(t(q)).\nAnswer: -7792956*q**4 - 30*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2448 by -2.\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 2*y + 2. Suppose 17 = -q + 18. Let w be d(q). Suppose 3*z + 2*x = 6*x + 7, -x = -2. Solve 23 = z*m - w*n, 5*m - 7 = -n - n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2*-1)\/(0 + 2). Let y(z) = 3*z**2 - 3. Let m(j) be the third derivative of -j**3\/6 + 3144*j**2. Calculate g*y(t) + 3*m(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from {d: 1, o: 4, t: 1, q: 5}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -136, -1, 0, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19710 divided by 365?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 equal to -4880\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(3 + (-33)\/9). Suppose q*r + 2*a - 6 = 13, -5 = -a. Let y be r\/(-4)*-4 - 3. Are 0 and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2, -3\/5, -91, -0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 322.67057 to zero decimal places.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -16*l**5\/5 - 9*l**4 - 8*l**3\/3 - 3. Find c such that d(c) = 0.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2234937.\nAnswer: 3, 271, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -598 or -465?\nAnswer: -598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*q**4 - 6*q**2 - 135*q**2 + 6*q**4 + q**5 + 15*q**4 wrt q?\nAnswer: 60*q**2 + 648*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = -10*h - 232. Is (-2)\/h - (6 + (-135556)\/12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213006.\nAnswer: 2, 3, 131, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 18*p. Let k(v) = -73*v - 48. Let s(f) = -24*f - 18. Let j(n) = -3*k(n) + 8*s(n). Determine m(j(q)).\nAnswer: 486*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1029*i + q = -1026*i + 3, 4*q + 0*q = -4*i + 44 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 13*w**2 + 2*w + 7. Suppose -3*l + 19 = -26. Let n = l + -19. What is the units digit of v(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13973453025195 - -1.7?\nAnswer: 13973453025196.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 + 2*b**5 + 3*b**3 + (-2 + 2*b + 2)*(-5 + b**4 + 5) + b**5 + 2*b**5 - b**5 + 0*b**5 + 0*b**5 + b**5 + 17*b + 73*b**5 + 45*b - 74*b**5.\nAnswer: 6*b**5 + 62*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (521*r - 4593 + 4593)*(2*r**2 - 3*r**2 + 0*r**2) - 5 - 5*r**3 + 5.\nAnswer: -526*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -354 (base 7) to base 10.\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 388828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -564, -4814, -16394, -38970, -76208, -131774, -209334?\n\"Answer: -611*c**3 + c**2 + 24*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 1501 + 6080 = 0. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 601 from 9.56.\nAnswer: -591.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -111211032 (base 4) in base 15?\nAnswer: -1b2d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z + 1. Suppose -b = 3*b + 20. What is the units digit of k(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 174, 170, 164?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 578, 2642, 6188, 11210, 17702, 25658?\n\"Answer: -c**3 + 747*c**2 - 170*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -16548452300 to the nearest one million.\nAnswer: -16548000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 193287.918 rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 3*f + 8*b + 9*b = 13*b - 75, 0 = 12*f + 6*b + 180 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 3 - 1) + 5459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -f - 9, f = -4*f + 2*r - 45. Let s(v) = -24*v - 12. Let n(p) = -95*p - 48. Let c(d) = f*s(d) + 2*n(d). Differentiate c(y) wrt y.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*(-102)\/34?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 5:05 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*d. Let g(u) = -111*u - 3325. Let s be g(-30). Let f = -0.3 + 0.2. Which is the closest to f? (a) 4 (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-10))\/((-1)\/38). What is the second smallest value in -2\/11, -3, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**5 - 23020*z**4 - 661576*z**3 - 6128526*z**2 - 17453579*z + 6523594 = 0. What is z?\nAnswer: -11, -7, 1\/3, 7702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 = -k + 5*c, -7*k - 4 = 4*c. What is l in 3\/4*l**2 + k + 1\/4*l**3 + 0*l = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001111 (base 2) in base 7?\nAnswer: -535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 5:52 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2127 greater than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1360993272.\nAnswer: 2, 3, 773, 73361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**2 - 5*q**2 + 5*q**2)*(3149 - 1338*q**2 - 1055 - 1047 + q - 1043) as z*q**4 + t + r*q + i*q**3 + c*q**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -3007*p**4\/24 + 443*p**3\/6 + 3952*p**2. What is the first derivative of f(z) wrt z?\nAnswer: -3007","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen fifths of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -72, 10\/7?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 1 - 2)*(-2 - 1 + 1)*(-y**2 + 0*y**2 - 2*y**2).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*x - 220930, -3*r - 132*x + 331449 = -129*x. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 2*l**2 - 4*l - 7. Let u(r) = 5*r**3 - 2*r**2 + 1. Let v be u(1). Let s be b(v). Which is greater: 10 or s?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 195, 325, 453, 579?\n\"Answer: -t**2 + 133*t + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*r - 31*r - 60*r in the form z*r + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 882 - 2647\/3. Which is the biggest value? (a) -3\/2 (b) h (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215381 = -105*l - 217376 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1091078.\nAnswer: 2, 307, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1458 + -1432. Solve -4*o = y - 42 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 divided by 40.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-109830)\/45)\/(4\/6). Let j = g - -5590. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4*p - 16, 2*p + 10 = -h - 3*h. Let a(w) = w**3 + 3*w**2 - 4*w + 4. Let q be a(h). Find x such that 2 + 5 - 2 - q - x**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64239 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 64 - -15\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/12)\/((-1)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 369915 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16345 is divided by 285?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4398313*c**3 - 5087196*c wrt c?\nAnswer: 26389878*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a tonne in kilograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2116 or -9?\nAnswer: -2116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 100*t**2 + 1207*t - 210. Determine u(86).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41735*s = 2*m - 41742*s - 21, 34 = -2*m - 4*s for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679636 is divided by 2807.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2696061.\nAnswer: 3, 47, 19121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-1)*-1)\/(33\/(-55))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*r - 22 + 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 10*t - 13. Suppose 22 = 2*v - 22. Suppose -5*y - 23 - v = 0. Let s be g(y). Put s, 4, -3 in ascending order.\nAnswer: s, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 z when three letters picked without replacement from {p: 8, c: 3, r: 6, z: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 3*(-8)\/12. Suppose -20*f + 14608 = 4*c - 16*f, -4*f + 20 = w. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 3*r**2 + r - 7. Let c be s(-4). Suppose c*u + 132 = 2*j, -8*j + u + 376 = -3*j. Calculate the remainder when j is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*w = -26, -3*a + 5*w + 320 = 368. Let b(h) = 215*h**3 - 258*h**2 - 258*h. Let g(q) = -q**3 + q**2 + q. Determine a*b(c) - 258*g(c).\nAnswer: 43*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8485.31 litres?\nAnswer: 8485310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - a + 2 = -21, -5*d + 5*a - 40 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6455 + -342?\nAnswer: -339.3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(144))\/sqrt(8) - 1*sqrt(18)*-4)\/((sqrt(81)*1*-1)\/sqrt(9)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3559*x + 14538 + 24117 = 1670*x - 86841 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -18. Suppose -i - o = 8, 5*i = -4*o - b - 18. Which is greater: i or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 46 = -5*n + 48, 3*n - 3*k = 42. Let t = 5 - 18. Let h = n + t. Solve x = -h*j - 4, -x = -4*j - 0*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -0*i + 18. What is the third biggest value in 2, i, -0.06, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from mmmlc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*d**3 - 38*d**3 + 16*d**3 + 2*d**3 + d**3 + 0*d**3 + (-d**2 + 2*d**2 - 2*d**2)*(-3*d + 4*d + d) - 4*d**3 + d**3 + 4*d**3.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 12) in base 6?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.25 and 247.\nAnswer: 308.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-7 - (-2 - 5)) + -23 + 5\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 296\/3 + -635\/6. Let k = -7 - s. Find c, given that 5\/6*c**4 + 1\/2*c**3 + k*c**5 - 3\/2*c**2 + 0 + 0*c = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -11*p**3 + 19*p**2 + 9*p - 1. Let h(m) = 14*m**3 - 20*m**2 - 8*m + 2. Let a(l) = 4*h(l) + 5*n(l). Determine a(-14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 100*j**2 - 26*j**2 - 10 + 23.\nAnswer: 74*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -7*t**4\/12 - 11*t. Let j(q) = -3*q**2. Calculate y(j(g)).\nAnswer: -63*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1352685820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + 10*m + 3. Let n be h(8). Suppose -56 = 2*t + 4*k, 0*k - 7 = -t + 5*k. Let g be t\/110 - (-9)\/n. Is g > 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, -2\/7, 0.4, -3 in decreasing order.\nAnswer: 105, 0.4, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3789960 and 360.\nAnswer: 11369880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -4\/5, -48, -355, -0.1, -0.5?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.2 - -3.1. Which is the closest to 3? (a) -3 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, x: 2, w: 1, l: 1, u: 2, i: 4}. What is prob of picking 1 l, 1 x, and 1 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 14 - 34*i**2 + 75 + 69 + 33*i**2 + 94*i.\nAnswer: -i**2 + 94*i + 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 2:57 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 563181.2ml?\nAnswer: 563.1812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -14*k**3 - 320*k + 8. Let a(d) = -6*d**3 - 160*d + 3. What is 5*a(q) - 2*h(q)?\nAnswer: -2*q**3 - 160*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -5*r. Solve r*k - 5*k = -5*c + 15, 2*c + k = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00893442154 + -456.\nAnswer: -456.00893442154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, r: 2, i: 2, c: 1, z: 1}. What is prob of picking 1 c and 1 f?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + (11 - (6 + 4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*2*(-200)\/(-832) - -1. What is the biggest value in -3, -0.16, 2\/7, i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 1:19 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159 + -105. Let m = 122 - o. Let s = 95 - m. Round s to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-5)*(-40)\/(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39676, -79452, -119244, -159052, -198876, -238716, -278572?\n\"Answer: -8*w**2 - 39752*w + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*f + 16, -6*l - 20 = -10*l + 2*f. Suppose -8 - l = -4*u. Find p, given that 2\/5 + 3\/5*p**u - 2\/5*p**2 - 3\/5*p = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g - 9 + 10 - 9. Let k be m(6). Let t be (-15 + 3)*(-6)\/k. Which is smaller: t or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**3 - 3*u**2 + 4*u**3 - 1 + 4*u**2 in the form d*u**3 + s + p*u**2 + q*u and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 8:30 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 8\/15, -2894\/5, 3, -14?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3356106 and 19890?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*o + 4*o**2 - o**2 + 71*o + 12*o**3 - 13*o**3 to the form h + x*o**2 + g*o**3 + i*o and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169 + 169.2. What is the third biggest value in -0.5, -0.11, r, 5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6562 by -17.\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -730 by 2.\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 - 810*p - 4. Let w(k) = 6*k. Calculate w(f(z)).\nAnswer: -12*z**2 - 4860*z - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 9*t**2 - 3*t + t - 1 - 16*t**2. Let d be z(-1). Let g(x) = -x**2 - 11*x. What is g(d)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 equal to -72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/7 + 12*k**3\/7 - 24*k**2\/7 - 20*k + 150\/7.\nAnswer: 2*(k - 3)*(k - 1)*(k + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*o - 115*o**3 + 21*o - 121*o - 93*o**3 wrt o?\nAnswer: -1248*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 32785, -3, 3.\nAnswer: -3, 3, 15, 32785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvusso. What is prob of picking 1 v, 1 o, and 2 s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4010 + 2040?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/18, 1\/477830, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120*33\/(-198)*(-2)\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a - a = 28 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 108038 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42)\/(-5) + (-2)\/5. Let c = 19 + f. Let p(h) = -53*h**3 - h**2 - h. What is the remainder when p(-1) is divided by c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -291314 and 3?\nAnswer: -873942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 12) to base 6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 48.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92*w - 6 wrt w.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 + 1065*k**4 + 6*k + 1 - 1068*k**4 - 5*k - k**2 + 9 to n*k**3 + g*k**2 + a*k + y + j*k**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435785055?\nAnswer: 3, 5, 17, 1708961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -726, -11, -78 in decreasing order.\nAnswer: -11, -78, -726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 804 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382155893?\nAnswer: 7, 2713, 20123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2141493*n*t**2 - 387*n*t - 2*n - 2324*t wrt t?\nAnswer: 4282986*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 - 111. Let d(f) = 15 - 3*f + 0*f + 2*f. Give d(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2301 + -2300. Which is smaller: 2\/1243 or f?\nAnswer: 2\/1243","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.4474 rounded to 1 decimal place?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -130 + 133. Solve 4*u + o = -9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 73214397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6*2)\/((-912)\/1976))\/((-2)\/(-8)))\/2?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 0.9455044.\nAnswer: 1.0544956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (529*c + 386 - 386 + (-4 + 2 + 1)*(-2*c + c + 0*c))*(-2*c + 2*c - 3*c**2).\nAnswer: -1590*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 434165, 434198, 434231, 434264?\n\"Answer: 33*z + 434132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, 7, 25, 61, 121?\n\"Answer: y**3 - y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -2*s + 11, -4*f - s - s + 4 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26280 and 2547408?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54127 - -6?\nAnswer: -54121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 932503 divided by -6?\nAnswer: -932503\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -39?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/4*l**2 - 21\/4*l = 0. Calculate l.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 z when three letters picked without replacement from {z: 3, w: 1, o: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40, -60, -100, -166, -264, -400, -580, -810?\n\"Answer: -w**3 - 4*w**2 - w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide ((-60)\/18)\/5 - (-1012)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 - 3*v**2 - 13*v - 3. Let x(f) = -f**3 - 2*f**2 - 14*f - 2. Let c(d) = 3*x(d) - 2*y(d). What is p in c(p) = 0?\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278571724 divided by -2.\nAnswer: -139285862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - t - 6*t)*(-5*t**3 + 3*t**3 + 3*t**3) + (15 + 8*t - 15)*(-t**3 + 3 - 3).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -o + 8. Suppose 3*f - 280 = p, 184 = 2*f + 6*p - 8*p. What is the remainder when f is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70346 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -205, -301, -419, -565, -745, -965, -1231?\n\"Answer: -g**3 - 5*g**2 - 74*g - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 20, -2232, 0, 5, 3.\nAnswer: -2232, -1, 0, 3, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - 36189*i**3 + 36187*i**3 - 61.\nAnswer: -2*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530129 + 530129 + 10758*a**3.\nAnswer: 10758*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 155?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.189638l to millilitres.\nAnswer: 4189.638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -5*z - 5*y - 34, 4*z + 2*y + 2 = 0. What is the biggest value in 48, -1, z?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35.7831 + -0.2169. Which is the biggest value? (a) x (b) -11 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6074*u**2 - 8*u**3 + 7*u**3 + 8*u**3 - 6092*u**2 + 12166*u**2.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**3 + v**2. Let c be z(-1). Suppose -o - 4*t = -c, -8*o + t + 7 = -4*o. Suppose 2 = -3*f + 23. Calculate the remainder when f is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 174? (a) 0.5 (b) -5 (c) -10055\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 9 = 2*s. Suppose -f = 3*r + 3, 2*r - 56 = -4*f + 7*r. Solve 0 = -4*q + s + f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21410647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjfkd. Give prob of sequence jj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f + 5*p = 40, 3*f - 6 = -3*p. Let o(m) be the first derivative of -m**2\/2 - m + 1. Calculate o(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 4, 6\/11, 16\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -312 + 140*a**3 + a**4 + 313 + 2*a + 290*a**3 as m*a**3 + w*a**2 + i + f*a + z*a**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/101 in -1.438, 0.1, 2, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.43 - 0.47. Let u = h + 8.9. Let j = u + -6.5. Which is the third smallest value? (a) 0.13 (b) j (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/10 of a century?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -5910, -3477?\nAnswer: -5910","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - q**2 - 5*q + 5. Let z(k) = 3*k**3 + 2*k**2 + 9*k - 9. Let t(g) = 5*u(g) + 3*z(g). Let y be t(0). Sort -4, 2, y in descending order.\nAnswer: 2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1091 not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z = -7024 - 4876. What is the greatest common factor of z and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 v when three letters picked without replacement from {z: 5, v: 15}?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 0 - 2*r - r**3 - 5 - 7*r - 9*r**2. Is j(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 0.157071.\nAnswer: 0.557071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10400352 divided by 79392.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q - 14. Let g be k(-11). Let z = g + -5. Solve z*f = 2*n - 14, -2 = 5*f + 18 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 23223.\nAnswer: 23223.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 6*f**2 + 2*f + 4. Give w(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -24\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1316837 + -1?\nAnswer: -1316838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-105)\/(-70))\/(-13 - (-162)\/12). Let z(r) = r + 8. Let m be z(-6). Let b(j) = -j**3 + 4*j - 3. Let i be b(m). Put i, l, -4 in ascending order.\nAnswer: -4, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -81*n - 39. Let l(p) = -94*p - 38. Let j(q) = 7*f(q) - 6*l(q). Give j(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -1944*o**3 + 135. Let w(q) = 29*q**3 - 2. Determine 2*i(j) + 135*w(j).\nAnswer: 27*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91 - 480310*w - 111 + 480452*w)*(-2 + 1 - 1).\nAnswer: -284*w + 404","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**2*x**3 - 7*v**2 + 39890*v*x - 9885*x**3 - 30*x**2 + 4*x with respect to v.\nAnswer: -4*v*x**3 - 14*v + 39890*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12093289*b**3 - b**2 - 2974833*b - 3?\nAnswer: -72559734*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kdpiikiqpdkiaiiidd. What is prob of sequence akp?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/173, -0.7, -78.\nAnswer: -78, -0.7, 2\/173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18 + -16 - (0 - 0)\/2. Suppose 5*k + 9 = 3*v, -3*k + v - 3 = c*k. Find s such that -4\/7*s**2 + 0*s + k - 6\/7*s**3 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -21*q**2 - 5. Let j be z(4). Let y = -183 - j. Suppose -s + y = s - d, -5*s - d = -409. What is the greatest common divisor of 27 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192\/(-6144)*(-1200)\/45?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*o - 25*o + 7*o**3 - 3*o**3 - 2*o**3.\nAnswer: 2*o**3 - 59*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -41921, 7418 in decreasing order.\nAnswer: 7418, 3, -41921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 + 21)*(-29 + 29 + 5*s)*(-2 + 2 - 1) to the form t*s + l and give t.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4 + 2284*v**3 + 866376*v**2 + 107983760*v - 445943744 = 0. Calculate v.\nAnswer: -382, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -263*i*n**3 - 9*i*n**2 + 793*i*n + 2*i + 403*n**3 + 2 wrt n.\nAnswer: -1578*i + 2418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-38)\/(-10) + (-1)\/(-5). Suppose -s*w - 2*h = h + 25, -4*w - 4 = -4*h. Are w and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5122413 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.96355, -4, 0.4, 3 in increasing order.\nAnswer: -4, 0.4, 0.96355, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 + 161. Let q = -85.000051 + x. Round q to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*g - 29 + 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/16 + (-1)\/4. Suppose -v*f + 10 = -8. Solve -c = -4*c + f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*-1*-4)\/(-6*(sqrt(20)*-3 - sqrt(20))\/sqrt(5)).\nAnswer: 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -8. Suppose -2 + p = 3*h. Solve -4*f = -6*o + 3*o + 9, -h*o - f = -12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2861.000337 + -2861. Round m to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282712.\nAnswer: 2, 35339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*s**5*v**2 + 20*s**5 - 7*s**2*v - s**2 - 8*s*v**2 wrt s?\nAnswer: 240*s**2*v**2 + 1200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/(-6) - 4*(-6)\/72) + -532 + 527.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38252, 30964, 23676, 16388, 9100?\nAnswer: 1812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 5:31 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8, 9, 46, 109, 204, 337, 514?\n\"Answer: m**3 + 4*m**2 - 2*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + i + 1 = 0, 0 = 5*k + 4*i + 2 + 2. Suppose k = 23*d - 45*d + 22. What is the greatest common divisor of d and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/(11\/(-110)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (1 - 1 - 2) - (-183 + 125 - -72).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 682436 (base 11) to base 3\nAnswer: 2001012120011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1013455 and -39\/5219.\nAnswer: 311130685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -40*t. Let x(g) = -g. Let k(s) = -f(s) + 32*x(s). Let q(m) = -2*m. Determine k(q(z)).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1600 and 0.6898.\nAnswer: 1103.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkuwu. What is prob of picking 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 204335 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(195\/12) + 0. Let q = k - -29\/52. Solve q*x**2 + 0 + 1\/2*x = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -490, -985, -1484, -1987, -2494?\n\"Answer: -2*z**2 - 489*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 264.7?\nAnswer: 264.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-10))\/(-9)*-4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -5.4. Let p = -0.82 + 0.02. Let u = p - k. Which is the smallest value? (a) 5 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i + 279 = -14*i - 57 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 473192 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 82.62, 5, 0.5, 4\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 - 6) + 1595\/264 and -91\/180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 90062, 179986, 269774, 359426?\n\"Answer: -68*w**2 + 90128*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 445*l - 12529. Determine i(-26).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 - 69.7. What is the smallest value in 4, -5, h, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22434738 to the nearest integer?\nAnswer: 4737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 28*u**2 + 14*u - 128. Calculate the remainder when l(10) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.34*-2.6.\nAnswer: 3.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (22 + 85))*(-9)\/4329 + 2\/(-26)\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37354953?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 442 and 128282?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 1034?\nAnswer: -1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**10\/(c**(-20)\/c*c) assuming c is positive.\nAnswer: c**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 31048.38 to the nearest 10.\nAnswer: 31050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2316*l**2 - 14*l - 13. Let q be o(-1). Suppose 8*t = -317 + q. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*u + 2 - 6, 6 = -r - 2*u. Let y be (3 - 3)\/(r + 1). Solve -n + y*n = -1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from nynnnnnnnnynnxnyn.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000670568915 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - 215 - 226 = -411 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsddss. What is prob of sequence dss?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/6))\/(s**(4\/5)*s)*(s*s*s**(-16))\/(s*s**0) assuming s is positive.\nAnswer: s**(-479\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -0.1 (c) -8.8 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1758*l - 233*l - 1434*l - 839*l as v*l + t and give v.\nAnswer: -4264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -447, -10483, -37719, -90753, -178183, -308607, -490623, -732829?\n\"Answer: -1433*c**3 - 2*c**2 + c + 987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 26 = -0*y. Suppose 0 = -4*t + y - 5. Suppose 0 = 3*c + 4*v + 5 + 3, t*v + 4 = -c. Which is bigger: c or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 13) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4887605797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/8 - 1623*s\/2 + 889497\/8.\nAnswer: 3*(s - 2017)*(s - 147)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.2, -1\/29 in descending order.\nAnswer: 4, -1\/29, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 492 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q**2 + 3*q - 2. Let o(i) = -86*i**2 - 19*i + 36. Let u(z) = 17*z**2 + 4*z - 7. Let p(s) = 2*o(s) + 11*u(s). Determine -5*l(y) + 2*p(y).\nAnswer: -5*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/378 and -17\/54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (728\/39)\/(-28) - (-124)\/6. Calculate the highest common divisor of t and 565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 - 49. Suppose -40*s = -36*s - 304. Suppose -s*p + 74*p + 130 = 0. What is the remainder when p is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 25261*o + 1313. Is l(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*u - 21. Suppose -u = 4*f - 0. Is f > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 4*l**2 - 7*l - 96. Let n(p) = -p - 2. Determine -6*n(i) + o(i).\nAnswer: -i**3 + 4*i**2 - i - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 41*t = -44*t - 21898, -27367 = -5*p + t. Let b = p - 3855. List the prime factors of b.\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 divided by -50?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*z + b, -4*b - 25 = b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 936.74.\nAnswer: 4683.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by 1252552.\nAnswer: 5\/89468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (-2 + 0 - (2 + 8)). Let y(s) = -2*s + 8 + n - 26 + s. Calculate y(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49*i*p**2 + 20*i + 11*p**4 - 2*p**3 + 141 with respect to p.\nAnswer: -98*i*p + 44*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41*(-54)\/(-6273)*-34.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 123903*x. Let g(m) = -m**2 - 623*m. Determine g(d(r)).\nAnswer: -15351953409*r**2 - 77191569*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3165 rounded to 1 decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 6*g**2 + 6. Suppose -15 - 15 = 5*p. Let c(b) = -3*b**3 - 17*b**2 + 17. Determine p*c(k) + 17*u(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*m + 181, -5*w - 4*m + 17 = -314. Let u = -25 + w. Let a = 213 - u. Does 36 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80717970 to the nearest 1000000.\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 654 and 1253872780.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + p - p + 12*p**3 + 3*p**3 as o*p**3 + d*p**2 + y*p + m and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s = -58*s - 102. Suppose h = 3 - 0. What is the second smallest value in s, h, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1822 - 1818. What is the closest to -1\/5 in p, -2\/11, 1\/11, 0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11653 + -11653.12. Which is greater: -26 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, k: 1, o: 4, t: 6, p: 2, r: 3}. What is prob of sequence tpd?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*j = -7 + 19, 5*d - 22 = 3*j. Suppose 5*z - d*z - 9 = 0. Solve 0 = -z*c - 5*w, 5*w - w = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3213 - 3213 - 30*j as t + a*j and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 235*r**3 - 387 wrt r?\nAnswer: 705*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 11*j + 39 = 0, -2*o - 10*j - 6 = -9*j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (165\/4455 - 1\/27) + 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 497 * 0.05699.\nAnswer: 28.32403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*(sqrt(2048) + -2*2*sqrt(2048) + -3 + 2))**2.\nAnswer: 4800*sqrt(2) + 460825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4146.84 decades?\nAnswer: 414.684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 0*g**2 + 0*g + 1 - 1\/3*g**3. Let i(z) = 129 - 129 + 3*z**2. Give a(i(u)).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-five quarters of a microgram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 604 - 4*f**3 - 1202 - 33*f**2 + 598 - 2*f to the form m*f**2 + n*f + t*f**3 + y and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(133) + (sqrt(133) - sqrt(133)*1)*3)\/((sqrt(28) - -2*sqrt(28))\/sqrt(4)))*-3 + 2.\nAnswer: -sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - -4*(sqrt(99) + 0))**2 + -3)*-3 + 2 + (4 + sqrt(275) - (sqrt(99)*-2)\/sqrt(9))**2.\nAnswer: -6859 + 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + m**2 - m**2 + (0 + 0 + 2)*(-m + m + 3*m**2) + 1 + 3*m**2 - 1 - 2*m + 2*m + m**2 + (-3*m - 2*m + 7*m)*(-6*m + m + 3*m) + 4*m**2 - 4*m**2 - 2*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 19, 37, 73, 133, 223, 349, 517?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*b. Let u = -74364 + 20524099\/276. Let f = 1\/92 - u. What is the closest to b in -0.2, 2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 y, 1 z, and 1 f when four letters picked without replacement from {f: 5, k: 1, y: 2, z: 8}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(28 - 9786\/350).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9513 + 9520. Solve -5*i - u*i = 24 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36843\/421 or -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 27\/4703?\nAnswer: 27\/4703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-135))\/((-2)\/(-3))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7513740 divided by -19.\nAnswer: -395460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161220 + 161231 + 6*n - 322451.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rii when three letters picked without replacement from {r: 1, y: 4, i: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12519.\nAnswer: 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + v**2 - v)*(10*v + 1 - 1)*(61*v - 17*v + 12*v) as c + n*v**2 + y*v + x*v**4 + o*v**3 and give x.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22965\/11 - -2086. Calculate the common denominator of 69\/4 and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 20*v + 62 = 0. Suppose v*b = 0, -3*j + 5*b - 84 = -2583. List the prime factors of j.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -13*y**3 - 3660. Let n(f) = -6*f**3 - 1839. Calculate -9*n(z) + 4*x(z).\nAnswer: 2*z**3 + 1911","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8599227*r**3 + 10681925 with respect to r.\nAnswer: -25797681*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -2 + -8 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3544\/52 + 2\/(-13). Suppose 7 + 3 = 5*u. Suppose g = u*i + 16. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21482938 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 divided by 1?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2801?\nAnswer: 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 78611 (base 14) in base 11?\nAnswer: 18a475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e + -ea5?\nAnswer: -e97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432257?\nAnswer: 7, 61751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*z - 22. Solve 2*x = 2*r + 10, -z = -2*x + r + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**4 - 2*t**3 + 34*t + 2*t**2 - 34*t to l*t**3 + y*t + c + d*t**2 + z*t**4 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-10)*(-8)\/(-6). Let y be (28 + -15)\/13 + 1*4. Solve -g*f - 2*t = 2*t - 2, 2*f + y*t - 1 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 401565?\nAnswer: -401560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3.172176 + 226.2\nAnswer: 229.372176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-6)*4*54\/(-27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 125? (a) -1\/2 (b) -1 (c) -0.2 (d) 10\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1347 - -1463. Calculate the highest common factor of 1015 and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a9 + -2?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 2\/11 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -821*b**4*n**3 - 3*b**4*n**2 - 1221*n**3 - 2*n**2 + 2 wrt b?\nAnswer: -3284*b**3*n**3 - 12*b**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from {x: 2, d: 5, o: 3, j: 3, s: 1, f: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 41?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*n + 34 - 109*n + 218*n.\nAnswer: -2*n + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9630539 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 276\/5 + 13\/(-65). Suppose -25*l = 2*n - 22*l - t, 0 = -2*l + 10. What is the highest common divisor of n and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3808 divided by 8\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -426.6 to the nearest 10.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25134670*u**3 + 207*u**2 - 14358*u.\nAnswer: -150808020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1340483896?\nAnswer: 2, 19, 31, 284483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(1\/3)*t)\/t**(1\/3))\/(t*t\/(t**5*t)*t**(-1\/8)))\/((t**(4\/3)*t*t*t**6)\/(t*t\/t**(2\/3)*t**(-1\/6)\/t*t)) assuming t is positive.\nAnswer: t**(-73\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826387?\nAnswer: 17, 48611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or 658\/21513?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**2 - 3*m + 0*m - 3 + 10*m. Suppose -6*k + k - 20 = 0. Let n(h) = -1749 + 5252 - 1750 - 3*h**2 - 4*h - 1751. Calculate k*y(b) - 7*n(b).\nAnswer: -3*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*(5\/(-2))\/((-275)\/(-110)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.568 + 0.068. Let i = -26 + 26.29. Which is the closest to -2\/5? (a) i (b) 2\/15 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50*7\/56*8776\/1097\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/5 + 78\/130)\/(1\/607) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**4\/3 + j**3 + j**2\/2 + 92*j. Let m be l(-2). Solve -4*p + 5 = -k - 2, 4*k - 35 = -m*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67963213441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 16*f**2 + 0*f - 2*f + f.\nAnswer: -16*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -90.4341.\nAnswer: -89.9341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 234489?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 2*l**2 + l - 2. Let z be n(2). Let g = 3 + z. Let q(b) = -1 + g*b + 0 - 4*b. Calculate q(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*y + 3*u, y - 8*u = -5*u + 12. Let s(i) = i**2 - 10*i + 754. What is the hundreds digit of s(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 23. Let w(i) = i**3 - 15*i**2 - 20*i + 77. Let g be w(16). Calculate k(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-54))\/((-1635)\/15260 + (-11)\/28)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -i + 15. Suppose 4*j - i = -4*p, j + 3*p - 4 = -5. Calculate the remainder when j is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 60\/(-8) + 3 - -5. What is the second smallest value in t, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 4, 1.\nAnswer: 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 43516571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a**2. Let t(d) = 342*d**2 + 20 - 20 - 77*d**2. Calculate t(r(y)).\nAnswer: 9540*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by 300\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -4. Let g be (p\/1)\/(2\/(-22)). Suppose -4*s + 3*j + 32 = 0, g = -5*s + 5*j + 78. Is s <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 10:25 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/34 and 43\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1855339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/3 - 2*a**2 - 4*a\/3.\nAnswer: 2*a*(a - 2)*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 0 - 7\/12*q**3 + 1\/120*q**5 + 24*q**2 + 0*q + 1\/8*q**4. Let c(t) = 0. What is t?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(3*2))\/((5289\/1204)\/(-123)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 0 - 11\/2*p**3 + 1\/4*p**4 + 0*p**2 + 22*p. Determine n, given that i(n) = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000054338 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 = 0, 19*v - 489 = 15*v + 5*n. Let d = 25 - -51. Let j = v - d. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*h + 3 = 0, -4*t - 5*h + 9 = -0*t. Suppose -40 = -6*i + 2*i. Suppose -i = -4*n + 6. Sort n, 3, t.\nAnswer: t, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -20d2a7?\nAnswer: 20d2a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -698, -2957, -6838, -12407, -19730, -28873, -39902?\n\"Answer: -11*k**3 - 745*k**2 + 53*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -24075349700 to the nearest 1000000.\nAnswer: -24075000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3 (c) -0.01 (d) -55 (e) -2\/7 (f) 12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 6:04 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-16)*192\/(-144)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46441.\nAnswer: 46441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102133 + -23?\nAnswer: -102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*3\/6 - -1. Let x = 15 - b. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -1\/15 (b) 4 (c) -1\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201229412*d**2 - 2*d - 937891 wrt d.\nAnswer: 402458824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 859, 6549, 17047, 32353?\n\"Answer: 2404*w**2 - 1522*w - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126 (base 10) to base 7.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -92 and 18.9654.\nAnswer: -1744.8168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1152002 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g - 6. Let t be s(-15). Suppose -t = 14*q - 17*q. What is the remainder when 12 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/20*-6)\/(9\/30)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 - -71. Let h be (-1 + 3)*(-6)\/(-4). Let t be (-5)\/h*(-9)\/6. Which is the closest to 1\/2? (a) -5 (b) t (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7112.27 + -7149. Let n = h - -39. Round n to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -4 + 3 + (1 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 3*n + 1. Let k be b(2). Let a be k\/2*(-26)\/3. Suppose -5*h + 4*h = -a. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6165 and 4.8.\nAnswer: -6160.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21620316 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1638778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 88776*1211\nAnswer: 107507736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 + 433459050257?\nAnswer: 433459050253.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 93.5226ml?\nAnswer: 0.0935226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -5, 6, -0.3, -21 in descending order.\nAnswer: 6, -0.1, -0.3, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o - 11. Let k(i) = 3*i + 51. Let a be k(-18). Let v be p(a). Solve -v*b = -0*b - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m + 3 + 6 - 11)*(-4*m - 3*m - 4*m).\nAnswer: -66*m**2 + 22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-228)\/14 - 12\/(-42). Let d be (-2)\/g*-2*9. Which is smaller: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-328)\/3)\/((-504)\/(-12)). Let z = 10\/9 - d. Find the common denominator of 18\/13 and z.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**5\/20 - l**4\/6 + 13*l**2. Let c(t) = 2*t**2 + 3*t. Suppose -3 = -m - 0*m. Calculate m*s(y) + 4*c(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550628 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-6))\/(1\/3). Let a be ((-4)\/6)\/(c\/36). Suppose -4 = 4*t - a. Is 0 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6614 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 31800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 7)\/(9\/(-39)). Let h(o) = -20 + w + 13 - o. Let s be h(-9). Solve 0 = 3*v + 2*v - s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/11)*y**38)\/((y\/(y\/(y*y**(-2\/95)*y)))\/(y*y\/(y\/y**(2\/47))*y*y)) assuming y is positive.\nAnswer: y**(1976654\/49115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 3*w**2 - w. Suppose -l + 22 = -3*p, -l - p = 3*l - 36. Suppose -7*a + l*a = 2*c + 3, -4*c = a - 15. Determine n(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/839 and -11\/2085?\nAnswer: 1749315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 88*q**2 - 460*q - 459. Calculate k(93).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 0 + 8. What are the prime factors of (-3)\/n - (-18)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*t**2 + 9 + 14*t**2 + 5 + (-7*t - 78 + 78)*(-t + 2*t + 0*t) as r + s*t + i*t**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -89a2c (base 13) to base 2\nAnswer: -111101000010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 times -3207\nAnswer: 481.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 10:17 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 5*s - 7. Let c be i(6). Suppose 4*g - 50 = -y, -4*g - 5*y - 17 + c = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4 - -2.3. Let l = 4.7 + -4.2. Which is the closest to -2\/3? (a) 2 (b) k (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + ((sqrt(2) + (-4 + sqrt(8) - sqrt(2)))*6 - (((-4 + sqrt(288) + -3*sqrt(288))**2 - sqrt(288)) + sqrt(288)))).\nAnswer: 180*sqrt(2) + 1196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8291093 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3085933\/1628 - -20848\/11. Calculate the common denominator of o and 44\/1813.\nAnswer: 7252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52171986.\nAnswer: 2, 3, 19, 29, 43, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 - 8909873668317\nAnswer: -8909873668317.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-86 + (-3591)\/(-42))\/((-1)\/2)*-47\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c**2 + 6*c + 2. Let a(b) = 5*b + 2 + 193*b**2 + 196*b**2 - 381*b**2. Let m be (8 - 1) + (-1 - 0). What is m*a(l) - 5*d(l)?\nAnswer: 3*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1270620*z**3 - 4*z**2 - 4*z - 467321.\nAnswer: 7623720*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 4692 = -22738. Let j = q + -830. Calculate the highest common divisor of j and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*r - 131*r + 1631 = 49*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*z - 7532 + 8084 = 0 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2132*b + 6400. What is k(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2331.288 litres to millilitres.\nAnswer: 2331288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*u - 2 + 12662*u**2 - 3 - 12663*u**2 to c + s*u + n*u**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8393.558nm to millimeters.\nAnswer: 0.008393558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 - 22*q**2 + 19*q + 11. Let w be f(10). Solve 5*v - 25 = -5*p, 2*p + w = -5*v + 17 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + ((-6)\/8)\/((-540)\/(-15840))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = -9*x + 485. Let j be (x\/(-35))\/((-6)\/(-15)). Which is the closest to -0.1? (a) 1 (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157385810 a multiple of 7870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2 + 18202*n - 18200 = 0.\nAnswer: 1, 9100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -12. Let x be 5\/10 - z\/2. Suppose x + 3 = y. Solve y*b + 9 - 1 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.196 * 1.83.\nAnswer: 2.18868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6018151 by -29.\nAnswer: 6018151\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 4. Let q = 0.5 + -0.5. Which is the nearest to q? (a) 2\/7 (b) p (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 900.7653 centimeters to micrometers.\nAnswer: 9007653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m**2*s**3 - 7247*m**2*s**2 - 102438*s**3 wrt m.\nAnswer: -2*m*s**3 - 14494*m*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 10. Suppose z = 2*b - 0*b. Let f = -9 + b. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 - 4*x - 10. Let m be j(-8). Suppose -5*f + m = -3*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v**3 - 3*v**2 + v. Give p(2).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/4 + 35*u**3\/4 - 179*u**2\/4 + 145*u\/4.\nAnswer: -u*(u - 29)*(u - 5)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5001743082.\nAnswer: 2, 3, 7, 2851, 41771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from {s: 1, a: 1, t: 1, e: 6, z: 3, q: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a - 15. Let l be d(5). Suppose 18*v = l*v. Let q be ((-6)\/(-24))\/(7\/36). Are v and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252005*g - 252005*g - 326*g**2.\nAnswer: -326*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/8*1*128\/6. Suppose -11*y = -32 + j. Which is the second biggest value? (a) 6 (b) y (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.05, -56.6, -1, 0, 3 in descending order.\nAnswer: 3, 0.05, 0, -0.1, -1, -56.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.38 - 2.68. Which is the closest to y? (a) 3\/2 (b) -1\/10 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5173?\nAnswer: 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 175337000 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*z - 374. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1493 + -1493.0000000268. Round f to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 4, 3, -8.862 in ascending order.\nAnswer: -8.862, -1\/3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16214464?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19362399233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9243990?\nAnswer: 2, 3, 5, 7, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a + 25. Let o be u(4). Solve c + 7 = o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(1\/2))\/u))**40\/(u**(-3\/5)\/u**(-1\/8)) assuming u is positive.\nAnswer: u**(819\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3040 (base 8) to base 4.\nAnswer: 120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -194777 (base 10) in base 16?\nAnswer: -2f8d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r. Let u(s) be the first derivative of -2*s**3 + 4 - 1 + 3*s**3 + 5. Calculate u(a(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1625 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**3 - 17*x**2 + 12*x + 9. Let j(b) = -b**3 - 6*b**2 + 4*b + 3. Let l be 84\/(-10) - 2\/(-5). Let n(i) = l*j(i) + 3*o(i). Give n(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 4*i - 4. Let m(c) = 3*c**2 - 4*c - 3. Suppose 12 = 16*p - 12*p. Calculate p*m(a) - 2*z(a).\nAnswer: 5*a**2 - 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/30*186\/(-837)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) -0.0355 (b) -6 (c) 5 (d) -3\/7 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millisecond in microseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 703737?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 12240155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5 + 54224*q**3 - 54014*q**3 - 1.\nAnswer: 210*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d - 19. Let o be a(-11). Suppose o*h = q + 2*q + 123, 0 = h + q - 33. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c + 5. Let v(r) = -r. Let n(l) = l**3 + 14*l**2 - 32*l - 1. Let o be n(-16). What is o*k(q) - 2*v(q)?\nAnswer: -2*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = 4*r - 2*h, -4*r + 461 = -4*h + 185. Suppose 3*o - 2*a - 244 = -149, -5*o + 170 = -a. Calculate the remainder when r is divided by o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10554*l + 791625 = l for l.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzyzyyytzytbybt. Give prob of picking 2 y and 1 b.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 - 7 = 0. Let k = f - -5. Let a be (-6)\/k*(-30)\/(-9). Solve 1 - a = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 6*a - 4. Let q be l(-5). Find the common denominator of -1*((27\/(-5))\/3 + 1) and (-10)\/q - (-9)\/3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -157 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 20407025355.\nAnswer: 20407025355.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 13. Let p be c(-7). Let n be (-4)\/p*9\/6. Suppose -5*v + 35 = -4*w, -13*w + 10*w - v - 12 = 0. Sort -9, n, 0, w in decreasing order.\nAnswer: n, 0, w, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 9*h**2 - 10*h - 6. Let p be g(-10). Find the common denominator of (-12)\/16*p + 0 and -6\/19.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3130 (base 5) to base 7.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -11*c**3 - 3958 - 2*c**2 + 3960 - 2*c**2 - 2*c. What is the remainder when x(-2) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 5:06 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13432 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -2.8, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 56 in 49, -2\/9, 1\/3, 4\/5?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.755*1.\nAnswer: -13.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2, 31 in descending order.\nAnswer: 31, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -32302, -32136, -31970, -31804, -31638, -31472?\n\"Answer: 166*m - 32468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t - 14*t + 7*t + 2*t**2. Let l(a) be the first derivative of -11*a**2\/2 + 34. What is d(l(z))?\nAnswer: 242*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -864748 (base 11) to base 3\nAnswer: -2121020101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 - -11?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1123645 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 96\/(-128)*(-32)\/6. Suppose 3*t = 5*w - 2598 - 288, -l*w + 5*t + 2301 = 0. Does 40 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**5 - 27*f**3 + 12*f**2 + 36*f = 0. Calculate f.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from igiiiflikiliiikijiii?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 944346, 1888698, 2833086, 3777528, 4722042, 5666646?\n\"Answer: 3*z**3 + 944331*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 16\/11491?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.3. Let a = 17 - 7. Let t = 6 - a. What is the smallest value in t, d, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**2 + 0*i**2 - 2*i**2)*(i - 1551 + 1553 - 2*i) in the form l*i**3 + h*i + t + o*i**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 4, -4*w + 19 = f - 6*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -51*p**3 - 21*p**2 - 47*p - 22. Let t(l) = 25*l**3 + 8*l**2 + 24*l + 9. What is 5*t(k) + 2*x(k)?\nAnswer: 23*k**3 - 2*k**2 + 26*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 6 = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 150852?\nAnswer: 6335784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127 + -135. Let r be -5 + 4 - o\/((-168)\/(-45)). What is p in 12\/7*p**3 - 4\/7*p**4 - 12\/7*p + r - 4\/7*p**2 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t - 71595013 = -221*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4931 is divided by 76.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 12. Determine q(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + z + 0*z)*(2247*z + 3177*z - 4503*z)*(-3 - 1 + 2) to p*z**2 + h*z + r and give p.\nAnswer: 3684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99607782.\nAnswer: 2, 3, 79, 210143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*r - 168*r = 5*x + 167*r - 497*r - 81, -5*r = -22*x + 411 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a - 10 + 16 + 27 + 17 - 17. Calculate v(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 558\/42 - 12 - 1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q + 20 = 0. Suppose -5*m - q*d = 9, 0 = -4*m - m - 5*d - 10. Let s be 0 - (0 + 4\/(-22)). Which is bigger: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7742901 to the nearest integer?\nAnswer: 2783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -32*p + 16. Let j be v(-1). Suppose -8*s = -3*s + 245. Let t = j - s. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a + 3*a - a**2. Let j(r) be the second derivative of -r**4\/12 - 7*r - 183. Determine o(j(c)).\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alejadl. Give prob of picking 1 a, 1 d, and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + z - 18. Let w = 56 - 22. What is the lowest common multiple of w and z?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 26. Let r = x - -16. Let z(c) = -c - 5. What are the prime factors of z(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 80 + 60 = -2*p, p + 5*y = -14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1895260 is divided by 189498?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45474080 by 5684260.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-16)\/(-6)*(-66)\/(-24)*30\/11 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/3*r - 160\/9 + 8\/3*r**2 + 2\/9*r**3 = 0. What is r?\nAnswer: -10, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -130667.\nAnswer: -130669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - -2)*(-48)\/(-10). Suppose -9*i + 20*i = 198. Let o be p\/i - 12\/(-9). Solve 4 = -2*h + o*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2193, 6662, 14099, 24498, 37853, 54158, 73407?\n\"Answer: -f**3 + 1490*f**2 + 6*f + 698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20966292707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 2:52 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -54740 divided by -10948\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -22 - (17 + 0)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x**(-2)*x))*x**3*x)**(-2\/43) assuming x is positive.\nAnswer: x**(-8\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 35 = -77. Suppose t = q + 4*o, -5*q - o = -0*o - 204. Let x = 272 - 264. Calculate the highest common factor of x and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1665 and 30838095?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 9:59 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f + 3. Suppose -3*q + 5*w - 21 = 0, -q + 1 + 3 = 2*w. Let h = q + f. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5504?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(9) + (sqrt(729) - sqrt(729)*-2) - sqrt(9)) + -1*((sqrt(38)\/sqrt(2) + 2)**2 - sqrt(19)).\nAnswer: -23 - 80*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 60 = -4*d, -d = 1 + 1. Suppose -p = -5*u + 22. Suppose 0 = -3*s - u + 40. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468125 to the power of 1\/2, to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 4*s**2 - 3*s - 4. Let f be q(-4). Let w = -10 + f. Suppose 0 = v + 4*v + 20. What is the second smallest value in -5, w, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + 102?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 0)*(-84)\/(-36). Solve -3*c + 8 = -4, m - c = -z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 34*z**2 + 21*z + 1. Let h(q) = -q**3 - q**2 - q + 2. Let d(o) = 10*h(o) - 2*s(o). Factor d(g).\nAnswer: -2*(g + 1)*(g + 9)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -302, -311, -322, -335, -350, -367?\n\"Answer: -f**2 - 6*f - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-17)*j*j*j)\/j)\/j*j*j**(-6\/5)\/j assuming j is positive.\nAnswer: j**(-81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 979 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.51+-1.4197\nAnswer: -0.9097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p - 27. Let m be f(-6). Let h(y) = 2*y**2 - y. Let u be h(-1). Let o be m - (-1 - (-1 + u)). Solve q + o = 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7676 at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(9)*6*4).\nAnswer: sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 2:59 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 12:07 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5407.\nAnswer: 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asa when three letters picked without replacement from {a: 5, s: 15}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 9 = 4*b. Let f(a) = -a - 3. Let r be f(-6). Let x = b - r. Solve -x*m = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2320917 is divided by 1186.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, -14, -53, -108?\n\"Answer: -8*r**2 + r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52855.452 - -52737. Let h = 119 + k. Round h to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 2 - 2)*(-13)\/(-156). Sort 4, -0.01, a in decreasing order.\nAnswer: 4, -0.01, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -154\/53, 0.4728, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 20*f - 34. Let r = 34 + -16. Let x be i(r). Let a be (x\/(-4))\/(3\/(-60)*2). Solve -s - 4*s - a = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 203*k - 1411. Let p be u(7). Sort -4, 25, 0, 3, p in decreasing order.\nAnswer: 25, p, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 2:29 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-35))\/((-40)\/35).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*x - 10 + 4 = 0, -5*x + 10 = -2*c. Let m be (c - 2 - -2)\/(-2). Suppose 3*v - 2*v - 37 = m. Does 19 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - 69*c**2 - 18*c + 1780. Calculate the remainder when 221 is divided by u(34).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -901029 (base 11) in base 16?\nAnswer: -162345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 1\/8 (b) 2.5 (c) -4 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 7*m**2 - 9*m + 1. Let t = -42 - -48. What is y(t)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 939*k - 688. What is the ten thousands digit of q(30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 2, u: 17}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in 2\/9, 3\/7, -3.4, 4, 1\/3?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9301993 less than -9301992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 + -14.01. Let z = 14 + y. Is z <= -1.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Suppose d*i - 43 = -3*u - 8, -113 = -5*i + u. Suppose 0 = 2*p + c - 16, -2*p - 3*c + 5*c + i = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142889 and 3685207?\nAnswer: 3323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**2. Let i(p) = 16088325*p. What is x(i(b))?\nAnswer: -1035336805222500*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**7\/1260 + r**4\/24 + 2*r**2. Let m(g) be the second derivative of k(g). Let l(y) = 3*y + 0 + 7 - 7. Calculate m(l(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131976292 is divided by 7763311.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*y + 7272, -4*y + 0*q + q = -5847. What is the highest common factor of y and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15661*u**5 - 203*u**4 + 9*u**3 + 52275*u**2 + 2260?\nAnswer: -939660*u**2 - 4872*u + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 9*i - 7. Let m be n(-7). Suppose 2 = 3*x - m. Let d be (3\/27)\/(1\/x). Which is bigger: -1\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**3 - 2*d - d + 5*d - 2*d**3 - 2*d**2 in the form h*d + y*d**2 + s*d**3 + z and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*t = -107*t - 900. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 16) in base 15?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 3*q = 34*q - 8317175. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - t - 2863 = 14047, -5*b + 28150 = 5*t. Is 49 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -4)*(-2)\/3. Find the third derivative of 246*a**3 + 9*a**c + a + 13*a**4 - 244*a**3 - 14*a**4 + 18*a**4 wrt a.\nAnswer: 408*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i + 8*i - 1085 = 0. Solve -11*q + 4*q = i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - p - 23 = -8*o, 2*p - 24 = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -27024808 divided by -8\nAnswer: 3378101","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 514855 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*k - 34, 115 = 5*a - k - 0*k. Let q = -21 + a. Solve -2\/11*v - 2\/11*v**5 - 12\/11*v**q + 8\/11*v**2 + 8\/11*v**4 + 0 = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 146 and -1.4226.\nAnswer: 144.5774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -440?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11, 14, 9, -10, -49?\n\"Answer: -x**3 + 2*x**2 + 4*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -624608.06\nAnswer: -62460.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3572 and 643.9.\nAnswer: 2300010.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125942 or 126409?\nAnswer: 125942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -83, 1\/6, -214.8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 96*g + 628. What is b(-6)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496950 is divided by 4434.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 487, 540, 593, 646, 699, 752?\n\"Answer: 53*x + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 6*1*((sqrt(567) - -1*sqrt(567))*1 - (sqrt(567) + sqrt(567) + -1 + 1))*1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4214032 and 6432.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/64 and -20\/2327.\nAnswer: 148928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6160856045 - -4\nAnswer: -6160856041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3022727 + 0.4\nAnswer: 3022727.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, g: 1, m: 4}. What is prob of picking 3 m and 1 g?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 447, 455, 467, 483?\n\"Answer: 2*l**2 + 2*l + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476*n + 17 = 80 - 539 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 268, -461, -2202, -4973, -8792, -13677, -19646, -26717?\n\"Answer: -3*d**3 - 488*d**2 + 756*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222 (base 3) in base 4?\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 99360000 to the nearest one million.\nAnswer: 99000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 363777833, 363777832, 363777831, 363777830?\n\"Answer: -u + 363777834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 763 divide 964135749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*u + 5, -2*u = -5*u - t + 5. Let c = -178 + 216. Suppose 0 = -m - 39 + c. Which is smaller: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7800 + 194999\/25. Let q = -6 - -6. Let z = -3 + q. Put -2, z, 5, h in descending order.\nAnswer: 5, h, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.5 times -22.9?\nAnswer: 3927.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (153085\/32418)\/(1\/6)*((-27)\/5)\/(-3).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 352 and -3.\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r. Let b(a) = -5619*a. Calculate b(m(f)).\nAnswer: 5619*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -444 + 410. Let o(m) = 2*m**2 + 66*m - 65. Let y be o(t). What is the nearest to 0.1 in -0.3, 1, -1\/2, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1061 divide 1460701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 19*z - 20. Let b be l(14). Let a = -66 - b. Calculate the remainder when 186 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -9 + (-1 - 11 - (-42 + 8 - -36))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/11 (b) 169 (c) -3\/2 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 11*u**2 + 11*u + 27. Let d be x(-9). Let c = -85 + d. Put 1, c, 2 in decreasing order.\nAnswer: c, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k. Let s = 108 - 102. Let q(j) = -32 + 61 - s*j - 30. What is 5*p(c) - 2*q(c)?\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 32*a + 176. Give h(9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -248.754 - -249. Let b = v - 0.246. What is the biggest value in 15, 3, b?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - -1) + -13 + 53 + -42.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4762414785041*f + 2*f**3 - 4762414785041*f.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -58454 * 11851\nAnswer: -692738354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(396))*3 + 2*((-2 + sqrt(396) - sqrt(396)) + sqrt(396)))**2 - ((1 + sqrt(396) + 0 - (sqrt(396) + -1*sqrt(396)*2))*-4)**2) + -2.\nAnswer: -15362 - 984*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8*w - 5. Let p(f) = -17*f - 11. Let i = -8 - -2. Determine i*p(r) + 13*a(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1039071*z - 6 + 648264*z + 59331*z. Let s be u(-9). What is s rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -15. Is 2*u*6 + -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25\/75 + (-3145)\/(-15) is divided by 44.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6828439.\nAnswer: 67, 101917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 v, and 1 l when three letters picked without replacement from wlbvzbsl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 178 and 530173?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + n - 412. Let y = 105 + n. Solve -4*t + y = 18 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(24)*5)\/(sqrt(5808) + (sqrt(5808) - (sqrt(5808)*-1 - sqrt(5808) - sqrt(5808)))).\nAnswer: -sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 32278140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 608, 2441, 5500, 9785, 15296, 22033, 29996?\nAnswer: 39185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*y + 4 + 13, 2*z + 36 = -4*y. Let a be z\/(-28) + 36\/28*-1. Let u be a*(-2)\/(-5)*-5. Solve -5*p = x + 15, x + x + 6 = -u*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/59210960 and 101\/10361918?\nAnswer: 414476720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k - 39*k**2 + 19 - 45*k**2 + 85*k**2. Calculate the remainder when 29 is divided by b(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9937144 and 11116?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -427, 1\/36?\nAnswer: -427","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 10*q - 2*q - 140. Solve -q*g - 23 = 47 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1410)\/34545)\/(10\/(-9310)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3214005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*q + 61*q + 656 - 181 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a tonne in kilograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 23*f**2 + 49*f - 3. Let w be a(21). Let p be ((-2)\/4)\/((-12)\/w). Let i be (3\/p)\/((-3)\/(-6)). Which is smaller: i or -1\/62?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + d = 11, -7 = -3*k + 5*d + 4. Let u be (-30)\/(-28) - 5\/40*4. Put k, u, -1\/3 in descending order.\nAnswer: u, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94021 and 1169.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2164552.\nAnswer: 2, 13, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 5*d**2 + d + 7. Suppose -20 = 4*a - h + 11, -h = -3. Let l = a + 14. Calculate the remainder when x(5) is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 16. Let s(r) be the second derivative of r**4\/6 - r**3 + 1216*r - 2. What is s(v(z))?\nAnswer: 8*z**2 - 140*z + 608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a60d + -1?\nAnswer: 2a60c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -64. Let i be (184\/(-4))\/((-1)\/2). What is the highest common divisor of i and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -926, -7384, -24894, -58976, -115150, -198936?\nAnswer: -315854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w - 16. Let u be g(4). What is the closest to 0.6 in -5, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 80*y + 15 = -78*y, 4*m + 60 = 4*y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5392 is divided by 114?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60597*d**3 + 178255 wrt d?\nAnswer: 181791*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -223596 divided by 3\nAnswer: -74532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 320870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 796498321 to the nearest integer?\nAnswer: 28222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*-2)\/sqrt(11))\/(sqrt(30)\/sqrt(96)) + ((-1*sqrt(15)\/(sqrt(6)\/sqrt(2)))**2 - (-4 + -2*sqrt(405))).\nAnswer: 9 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(153))\/sqrt(9)*5.\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8612107733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-19))\/(56\/21*51\/68)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**2 - 2*a**2 + 2*a**2)*(-82*a**2 - 75*a**2 + 23 + 160*a**2) as z + i*a + o*a**4 + d*a**2 + n*a**3 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylv when three letters picked without replacement from ylylvlvl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/76*(-8)\/(-5))\/(84\/40).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58116 and 9686.\nAnswer: 58116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*v**4 - 31*v**2 + 8 - 13 - 20*v**4 to i + c*v**2 + d*v**4 + h*v**3 + p*v and give c.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -24. Let f = -5 + m. Is 0 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 10:16 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 12:19 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-5)\/(10\/(-6)). Suppose t = 5*r - 2*r - 60. List the prime factors of -8*r\/(-8) - 2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-20))\/((-21)\/140). Let t(f) = -3*f + 7. Let h(u) = 2*u - 5. Let y(l) = -7*h(l) - 5*t(l). Determine y(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 863*q**2\/2 - 721*q + 960. What is the first derivative of y(b) wrt b?\nAnswer: 863","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -20*h - 13*h + 65 - 40 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 9. Let j be d\/(-18) + 1\/(-3). Suppose j*h = h - 21. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/(33\/(-6)) - 5. Sort -0.1, h, 5 in ascending order.\nAnswer: h, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/3 - (-4 - -1). Let u(o) be the third derivative of -1\/32*o**f + 0 - 1\/480*o**6 + 0*o + 2*o**2 + 1\/24*o**3 + 1\/80*o**5. Determine z so that u(z) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100110001111 - 110?\nAnswer: -1110100110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -92*y**2 + 2*y + 6. Let b(r) = -r. Calculate -2*b(z) - t(z).\nAnswer: 92*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -116813.94.\nAnswer: -116813.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - -53. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/7*s**3 + 2 + 30\/7*s + 18\/7*s**2 = 0. What is s?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13547a - 18?\nAnswer: 135462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34163*j**3 + 34198*j**3 + 3 - 68400*j**3 - 3.\nAnswer: -39*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*t - 8 = -2*d, 0 = 4*t + 4. Suppose -1260 = d*o - 0*o. Let y = o - 16. What is y rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 - 2*x**3 - x**2 - 6*x**2 + 6*x**2 - 6*x**3 + 4*x**3 - 2*x**3 - 3*x**3 + 0*x**3 + x**3 + x**3 + (-3*x + x**2 + 3*x)*(0*x + 2*x + 0*x) + x**3 - 2 + 2.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 592*n**2 - 284*n**2 + 12 - 307*n**2 - 7.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 4544842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/3 + 180619*d\/3 - 421428 = 0?\nAnswer: 7, 180612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 + 4*q**4 - 12*q**3 + 2*q**2 + 11*q - 6.\nAnswer: (q - 1)**3*(q + 1)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.05528\nAnswer: 0.2764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -4611\nAnswer: 27666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*w + 1)*(2*w - 3*w + 2*w)*(-5 + 39 + 27).\nAnswer: 122*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 19 - 4 = 0. Let z = 0.27 - -0.03. Which is the closest to -2\/3? (a) t (b) 4\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1755719688.\nAnswer: 2, 3, 199, 367613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15456673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57062642 and 89726.\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + v = 107752, -3*v = -3*u - 17745 - 90003. Let i(d) = -5*d**2 - 144*d - 16. Let g be i(-29). Is u\/(-9) + (-5)\/g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.67064006\nAnswer: 0.201192018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, x: 2, h: 5, d: 1, q: 2}. Give prob of sequence pxxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 688 - 303. Let n = -175838107688 + 175838108073.000000918. Let u = n - v. What is u rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 + 3*d. Let u(n) = -14*n**2 - 15*n. Let l(m) = -u(m) - 5*y(m). Let f(i) = -i**2 + 21 - i**2 + 14. What is f(l(a))?\nAnswer: -2*a**4 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 109222656 to the power of 1\/2, to the nearest integer?\nAnswer: 10451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 21 = -n. Suppose 3*k + 61 = 4*y, -2*k + 28 = y - n*k. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 109*s**2 - 519*s - 204. Determine a(-104).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -106331 divided by 106331?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3084915.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 12*h**2 + 402*h - 426. What is i(15)?\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 31\/37 (b) 5 (c) 0.05 (d) -1\/5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 4 - 24, 14 = -s + 4*w. What is the third derivative of y**4 - 2*y**4 + 3*y**4 + y**4 + 2*y**s wrt y?\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1596.1 and 0.3.\nAnswer: -478.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40269*w**2 - 32174*w wrt w?\nAnswer: -80538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1411 + 84?\nAnswer: -1327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/((i*i*i**(-2\/27))\/i)))**(-2\/51)\/(i**20*i*i)**(-2\/3))**16 assuming i is positive.\nAnswer: i**(322336\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2380139?\nAnswer: 131, 18169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/c**(-2\/3)))\/c**(-1)*(c**(-2\/7))**19 assuming c is positive.\nAnswer: c**(-128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**5 - 2*g**4 + 50087*g**3 - 16567*g**2 - 22*g wrt g?\nAnswer: -180*g**2 - 48*g + 300522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcvvdbeevedvbtdtd. What is prob of picking 1 d, 1 b, and 1 v?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65964060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 0*j + 24 + 0*j**4 - 4*j**3 - 18\/5*j**5 + 0*j**2. What is the third derivative of x(s) wrt s?\nAnswer: -432*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 1010905610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 4 + 4)*(-22 + 4 - 1) - 124*l + 124*l + 77*l**2.\nAnswer: 39*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 32 = -4*l - 23, 3*u + l + 9 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*i + 1)*(-3*i**3 - 5*i**2 + 5*i**2 + (28*i - 35 + 35)*(2*i**2 - 4*i**2 + 0*i**2)) in the form p*i**3 + h*i**2 + f*i + j*i**4 + u and give j.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*v = 21, 2*v + 19 = 5*k - 0. Let c(n) = -3*n - 26. Let z be c(2). Let s = z - -34. Which is smaller: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -704*d**2 + 1407*d**2 - 703*d**2 - 847*d**3 - 791*d**3 + 1637*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j + 199. Let k = -8064 + 8086. Determine u(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from goaqmww. Give prob of picking 1 w and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -15. Suppose 0 = -3*z + 5*i + 49, -z + 3*i = z - 33. Suppose -u*s + z = -2. Solve 5*g - s = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12*(-4)\/180*(-9)\/6. Solve 0 - n*q - 2\/5*q**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 4. Suppose 0*x + 15 = 5*x. Suppose 0 = -5*k + x*k. What is j(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -15*d - 5. Let s(m) = -m - 1. Let a(j) = 20*j + 5. Let o(k) = a(k) - 2*s(k). Let n(p) = -7*b(p) - 5*o(p). Let h(y) = -y. Give n(h(q)).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2898 + 2?\nAnswer: -2896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 248260 and -2.8.\nAnswer: -695128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10132021 + 2033?\nAnswer: 10200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 1:54 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1234*p - 1234*p + p**2. Let j(x) = 43*x. Calculate t(j(k)).\nAnswer: 1849*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*d**2 + 9 + 30 - 30*d**2 + 12 in the form j*d + c + t*d**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**2 - 5337*k - 37690. Determine y(-7).\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -59*c + 224*c - 59*c - 55*c - 60*c. Let w(h) = -14*h - 3. What is w(z(o))?\nAnswer: 126*o - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 3*w + 15, -5*w - 6 = -2*f + 16 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1586.61 - 1598. Let o = -3.39 - j. Which is smaller: 0.1 or o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/109 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 + 5493608*h\/9 - 3772466107208\/9.\nAnswer: -2*(h - 1373402)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5 + 436*h**4 + 1702*h**3 - 2140*h**2 = 0. Calculate h.\nAnswer: -214, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1195 and 43\/50429?\nAnswer: 252145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*m + 216*m - 55296 = 0. Factor m + 5*x**3 + 144*x**2 - 2673*x - 9*x**3 + 945*x.\nAnswer: -4*(x - 12)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 7*g + 3*v + 17 = 0, -5*g + 199 = 4*v. What is the remainder when 141 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34012 take away 78952.6365?\nAnswer: -44940.6365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -17*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/15)\/(5\/50)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*n + 9*n + 27. Suppose 0 = n*l + 263 + 160. Let i = l + 104. What are the prime factors of i?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 + 1298 = 51*o. Calculate the remainder when 91 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 17*z - 17. Let a be w(-9). Find the first derivative of 17 + a*f + 46 + 39*f - 79*f wrt f.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1352293 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*m - 9*f + 11*f, -5*f = -5*m + 75. Let x be 10\/m*(-81)\/360*-8. What is n in -3\/2 - x*n**2 - 3*n = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, -424, -1894, -4890, -9928?\nAnswer: -17524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(7\/6)\/d**(4\/21))\/((d**(-14\/9)\/d)\/d**(-44)))**(1\/3) assuming d is positive.\nAnswer: d**(-5099\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 156.16652.\nAnswer: 1093.16564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-1) + -1 + 3. Suppose -3 = -l*p + 2. Which is the closest to p? (a) -3 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-340 - 2) - 1. Let h be 3*1 - g\/(-9). Let v = -20 - h. What is the remainder when v is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(-242 + 480 - 240 + 196*k).\nAnswer: -196*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -15 + 12*w - w**2 + 3 - 3*w. Let h be i(7). What is the first derivative of 2 - 20*d**2 + 20*d**h - 5*d**4 wrt d?\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3660 and 1830.\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 3:14 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 14*p**2 - 2*p - 20. What is the remainder when 31 is divided by w(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**7\/420 - v**6\/90 - v**5\/60 + v**4\/6 + v**3\/2 - 2*v**2. Let a(z) be the first derivative of m(z). Factor a(b).\nAnswer: 2*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 greater than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - 1) + 65 + -8?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1569*h**4 - h**2 - 2 + 7832253*h**3 - 7832253*h**3 + ((-3*h + 3*h + h)*(2 + 3 - 4) + 5*h + 0*h - 4*h)*(-h - h**3 + h).\nAnswer: 1567*h**4 - h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -18 (b) -1 (c) 4\/729\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22 (b) 4 (c) 5\/2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-nine thirds of a week?\nAnswer: 1624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6857670 divided by -5?\nAnswer: -1371534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.67 + 0.17. Which is the closest to 0.3? (a) -2\/5 (b) p (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 2 - -3) + 10. What is the third derivative of p*u**4 - 4 + 4 - u**4 - 6*u**2 wrt u?\nAnswer: 168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pepggeedegdgdkeg. What is prob of picking 1 d and 1 e?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9109 is divided by 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*i - 474 = 0, -l = -3*i - 17 - 73. What is the greatest common factor of 216 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92359001 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z - 178. Let t(u) = -2. Determine m(f) + 6*t(f).\nAnswer: -2*f - 190","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3283 - 2979. Which is greater: r or 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*o**3*y**3*z - 7*o**3*y*z - 5*o**3*y - o**2*y**3*z + 11*o**2*z + 3*y*z wrt o?\nAnswer: -66*y**3*z - 42*y*z - 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 8*w**3 + 2*w**2 - 1. Let b be n(1). Suppose -5*p - 32 = -b*p. Solve 0 = -u - u - p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-935*v - 3642 + 3642)*(0*v**3 - 3*v**3 + 4*v**3).\nAnswer: -935*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*g - 153, -2*s + 2*g - 158 = -3*s. Suppose -s = -8*c - 156. Solve x + 4*x - 10 = c, 4*o - x - 14 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (145\/203)\/((-6)\/(-7))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**3\/6 - 3*h**2 + h. Let c be i(14). Let b = c + -5. Let r(y) = 2*y**2 - 5*y + 2. Determine r(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -19*d + 39. Let y(a) = 3*a - 6. Let t(b) = 6*g(b) + 39*y(b). Determine t(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f - 2*f + 3*f + 11*f + 0*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -10, -5 = -5*f + 2*v - 5*v. Suppose q + 1448 = -2*s - 3958, -q - f*s = 5412. What is q rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5*g + 9*g - 12*g - 2*g**3)*(-1 - 3 + 2).\nAnswer: 4*g**3 - 4*g + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -653, 3, -0.5, 0.4, -3\/2, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.123755 to 3 decimal places.\nAnswer: -1.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*a, 0*a = 3*m + a + 22. Let d be (-5866)\/4 - (91\/14 + m). Let p = -825 - d. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226564844 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 16*s - 1. Let f be i(4). Let j = -32 + 40. Calculate the remainder when f\/(-2)*4\/(-6) is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -363 divided by 18.\nAnswer: -121\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.4, -36, -4, 1, 0.05?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 256 + 16 = 0. Let u = a + -39. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128 - -134. Suppose -4*b - 335 = l - w*l, -4*b - 146 = -2*l. Let d = l - 191\/3. What is the third smallest value in -5\/4, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o = -5. Suppose 4*q = o*h + 51, 2*h - h = 3*q - 30. Let p = q - -5. What is the remainder when 40 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7892 is divided by 1124.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116 - 104. Suppose 143*g = 643 + 501. Calculate the smallest common multiple of c and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 + 9*b + 16. Let v(y) = y**2. Let d(q) = -k(q) + 6*v(q). Let m(f) = -f**2 + 2*f + 4. Let h(p) = -2*d(p) - 9*m(p). Suppose h(l) = 0. What is l?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701 is divided by 124?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(225\/(-10))*-3. Let b be 2*(-2)\/8 + 1. Which is bigger: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 165 + -165.000000276. What is w rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1506922, -1506886, -1506850, -1506814, -1506778?\nAnswer: -1506742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -20*k**3 - 9*k**2 + 56*k + 381. What is the remainder when r(-6) is divided by 1346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = 7 + 11. Let k(g) = -9*g**3 - g**2 - 3*g + 2. Let u be k(x). Calculate the greatest common divisor of u and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.0999343 + 13.1. What is g rounded to six decimal places?\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*p - 256*p - 8*p**4 - 1 - 4*p**2 + 346*p + p**3 in the form r*p + c*p**2 + l + s*p**3 + h*p**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*y - 60*y + 67*y + 36*y + 11*y**2 - 19*y**2 + 38*y.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2510*x + 28476. What is d(-11)?\nAnswer: 866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1234*q + 74*q = -17004 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -12, -u = -z + 3*z - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136 - 58. Let w = 101 - q. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdr when three letters picked without replacement from {d: 7, s: 7, r: 2, z: 2}?\nAnswer: 49\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/40 and 52\/(-26) + (238\/(-20))\/(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + u**2 + 5*u + 3. Let q(y) = y + 1. Let l(o) = a(o) - 4*q(o). Let p be l(1). Is p at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44*-15.\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 34 - (63 + -31 + -30 - 4)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -322?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a decade in months?\nAnswer: 2130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3112203320 (base 4) to base 11.\nAnswer: -550316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 - 213. Let w = -21 - z. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154567 is divided by 77035.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.01 (b) -923 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 6)*(-9)\/7722*1. Let c = 2113\/3432 - v. Let o = -3003 + 21080\/7. Calculate the common denominator of o and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6468941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -46.92 * 11.6\nAnswer: -544.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 425, 2\/13, 3\/10, -3\/5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34008 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3726 and 7.\nAnswer: -26082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 226*a + 87*a - 27*a - 19*a + (0 - 4 + 3)*(-4 + 4 - 2*a) to o + x*a and give x.\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*2\/((-4)\/(-6)). Let c(a) = -7*a + 5*a + s*a. Let l(o) = -2*o**2. Calculate c(l(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -0*o - 2*t + 12, 0 = -o + 4*t - 6. Let p be (o - 24\/(-16))*2. Is -2\/7 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 45*m + 18. Let k be (-52)\/(-5) - ((-64)\/(-10) - 6). Does 51 divide a(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 2:59 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.1? (a) -3 (b) -2\/269 (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125297*o**2*r**4 + 2*o**2*r**3*y - 31*o**2*r**2 - 246*o*r**2*y + 2*o*r*y wrt r?\nAnswer: -3007128*o**2*r + 12*o**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14679665 smaller than 14679665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.5 + 25. Let j = -1.5 - h. Which is greater: j or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2264 less than -2497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-98)\/(-14) + ((-18)\/(-24))\/(3\/(-12)). Solve -24 = 4*t + i*u, 0 = 4*t - u + 14 - 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-228)\/26 + (81\/36)\/(3\/12)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -19. Suppose 3*q = q - 3*t + a, -q - 14 = -5*t. Solve 0 = -s + 4 - q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*(-1 + sqrt(245)).\nAnswer: -175*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 5, m: 2}. What is prob of sequence vp?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) -91 (c) -7\/2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2894.6 to the nearest 10.\nAnswer: -2890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4 = 9. Let q = -225 - -2469\/11. Are q and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 114312, 228628, 342944, 457260, 571576, 685892?\n\"Answer: 114316*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**5\/20 + o**3\/6 - o**2\/2 - 605*o + 2. Let l(p) = -5*p**3 + 2*p**2 + 6*p - 8. Determine -6*k(t) + l(t).\nAnswer: t**3 + 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3 - 7. Let j be (-2)\/w*0\/(-3). Let c(q) be the first derivative of q**3\/3 + q**2\/2 - 8*q + 1. Calculate c(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 + 111870*r**3 + 223720*r**2.\nAnswer: 5*r**2*(r + 2)*(r + 22372)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 5:17 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u + 0*u)*(-6 - 1 - 2)*(0*u + 0*u + u)*((1 - 3*u - 1)*(-6 + 7 + 1) - 3*u - 2*u + 3*u).\nAnswer: 144*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 39*l**2 + 37*l - 36. What is a(-38)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4558, 3, 2\/3, 7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from {n: 3, g: 2, o: 4, q: 1, u: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.6 and -20.9.\nAnswer: -23.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -10*j**2 - 2*j**3 - 14*j - 3 - 4 + 1 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 11:30 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11043 + -9167. Which is greater: 1875 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 92 = 4*q - l, 0 = q + 4*l - 32. Suppose -f + q = f. Calculate the greatest common factor of f and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*h = 4, 0 = -3*w + 8*w - 3*h - 3. Solve w = -3*i + 2 + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 1 - 11*l**3 + 2*l**3 - l**2. Calculate the remainder when b(-1) is divided by 16\/7 - (-22)\/(-77).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11468.\nAnswer: 2, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 14. Solve y*q + 10 = 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - 11100001?\nAnswer: -11101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 1002120945.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y**3 - 74*y - 14*y**3 - 54*y**2 + 24*y**3.\nAnswer: -2*y**3 - 54*y**2 - 74*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -51744039 != -51744046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20499 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 338?\nAnswer: 33d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 58*n**2 + 1377*n - 62. Determine r(-24).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-528)\/(-28)*179\/(19869\/(-518)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9800541 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/11)*(o\/(o*o*o\/o**(-15)*o))\/o)\/((o*o*o**(-1))\/o)**(7\/9))**(5\/11) assuming o is positive.\nAnswer: o**(-1035\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -256, -5, 4, 3 in increasing order.\nAnswer: -256, -5, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2157521 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (132\/(-165))\/(172\/10). Let t be 2 - (-3 + 9) - -3. Is a < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2693 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-24)*-4 - -3597 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8*b**2 + 17*b**2 - 3 - 7*b**2 + 4*b - 10*b**2 + b**3. Let i be y(4). Let v = i - -142. Is 37 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 69846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*h + 50. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -5\/12*h**4 + 1\/3*h**3 + 0 - 27*h - 1\/10*h**5 - 2*h**2. Is l(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170686367941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24*-0.1678.\nAnswer: -0.040272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3798 - 101*t**3 + 4*t**3 - 4275 + 5*t**3 + 8073.\nAnswer: -92*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4416634829 to the nearest integer?\nAnswer: 66458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, c: 7, t: 2}. Give prob of sequence ccbc.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5945324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 417*7\nAnswer: 2919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/(o\/(o**7\/o*o)))\/(o**15\/o)*(o*o**(-2\/21)*o)**(1\/56) assuming o is positive.\nAnswer: o**(-730\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/20 - 63\/(-36))*20. What is the greatest common divisor of 28940 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -5, 223, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 2\/5 (c) -0.22 (d) -1\/7 (e) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -14*y**5\/9 - 110*y**4\/9 - 250*y**3\/9 - 130*y**2\/9 + 8*y\/3 = 0.\nAnswer: -4, -3, -1, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42628.\nAnswer: 2, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -17329\nAnswer: -138632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eooo when four letters picked without replacement from oyeeoyyyoeeyeyo?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(3) + 1 + -5)*6)**2 + (4*sqrt(3))**2 + 5 + -5 + 3 + sqrt(3).\nAnswer: -287*sqrt(3) + 738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in decades?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v + 38*v + 83 - 108.\nAnswer: 22*v - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4440 and 555.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 226259 or 225007?\nAnswer: 226259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71236807*a**3 - 24511880*a + 4.\nAnswer: 427420842*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Let t = 5 - s. Solve 0 = -3*a + 2*k - 10, -4*a = -k + 8 + t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 60*s**2 - 61. Let l(a) = -5310*a**2. What is y(l(w))?\nAnswer: 1691766000*w**4 - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -3.1. Let y = -17 + 17. Which is the closest to 0.06? (a) y (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9465405, -9465407, -9465409?\n\"Answer: -2*v - 9465403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(14\/(-32)))\/(((-33)\/(-154))\/(48\/64))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 17. What is the nearest to -0.3 in -2\/3, b, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 4:41 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5 + 5870*a**4 + 7592668*a**3 - 3078539832*a**2 + 12222859392*a - 12192394752 = 0. Calculate a.\nAnswer: -3096, 2, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17569 = 10*a + 5929. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**3 - 92*o**2 + 71*o + 248. Calculate w(-47).\nAnswer: 1329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide ((-1675)\/(-50) + -31)*2*5437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11397568 and -3?\nAnswer: 11397571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-17)\/(-3) - 50\/75\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 383897.5 micrometers to millimeters.\nAnswer: 383.8975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36792\/(-482895))\/(-2 - 24\/(-14)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3 - 1273130*b**2 + 2546264*b = 0. Calculate b.\nAnswer: -1273132, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 10 = -4*a + 4*o, 20 = 4*o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 4*y - 8, 296*y - 300*y - 4*s - 2*s + 24 = 6*s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7}. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 744*k**3*p**2 - 42715*k**3*p + 40*k**3 - 2*k**2 - 135065*k - 1 wrt p.\nAnswer: 1488*k**3*p - 42715*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3101300303 (base 4) in base 15?\nAnswer: -11e892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/88 + 12428\/11. Is h\/(-5)*3\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 e when three letters picked without replacement from llezeelleeleoeeee.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/3 of a century in months?\nAnswer: 17200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/18 - 74\/(-9). Suppose 0*d = -2*d + 50. Suppose 3*n + 4*b - d = 139, 5*n - 284 = 4*b. Calculate the highest common factor of n and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -35. Suppose -205 = -q*d + 38. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1394 - -1650. Is r a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 17*f**2 + 28*f + 33. Let k be q(15). Let c(d) = 2*d**2 + 4. Let x be c(k). What is the greatest common divisor of 154 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (2 - 3 - 4). Solve -i = -y*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 2. Let s be n(4). Let g be -1*(-6)\/s + -1. Solve -3*b + c = -12, b + 2*c - 13 + g = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + f**2 + 2 + (-9*f + 9*f + 6*f**2)*(4 - 2 - 1))*(0 + 0 + f**2) in the form l + r*f**3 + a*f**4 + i*f + v*f**2 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60852467 - 578.\nAnswer: -60853045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 45 = 3*c - l, 4*c + 5*l - 57 = 0. Suppose -c*v = -10*v + 110. Let t = -14 + v. What is the remainder when t is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 + 10*q - 12. Let n be y(-4). Let z be 1 + -1 + 108\/n + 5349991. What is z rounded to the nearest 100000?\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*s - 185*s - 59*s.\nAnswer: -116*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5a887 (base 14) to base 13\nAnswer: -798bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + -37 + 0 + 22.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*f = 25, 4*f + 5 = 3*d + 2. Suppose h + 17 = -5*a, -d*a + 4*a - 5*h + 11 = 0. Is (-6957)\/(-21) - a\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1 + 2 - 2 + 1 + (2 + 1 - 5)*(2 + 1 - 1) + 2 + 0 - 4)*(0*l + 2*l - 4*l + (-4 + 1 + 1)*(-3*l - 2*l + 7*l) + 421*l - 262*l - 378*l).\nAnswer: 675*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14, 16, 20, 26, 34?\n\"Answer: p**2 - p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/5? (a) -6\/7 (b) -0.1 (c) -16 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/5 - (2 + -3). Suppose 2*r + 75 = v*r. Calculate the remainder when 88 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -36 - 9) + -7 + -2 + 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -15 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11958 + 8585 = -25*q + 180652. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133111575 and 192015.\nAnswer: 11295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-9) + (-8)\/4. Put -5\/3, -0.3, a in decreasing order.\nAnswer: a, -0.3, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -179999*g**3 + 2*g**2 - 2*g - g + 7 - 9 + 2*g. Let q be h(-1). Round q to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l - 30. Let d be f(-13). Suppose 5*s - 2*u - 28 = 0, 2*s + 4 = s - 2*u. Suppose 2*g + 0*p - 64 = s*p, -4*p + d = 2*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 13*m + 44. Give g(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 + 11*t - 17. Let i be q(8). Let d = -514 + i. Round d to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462, -705, -538, 255, 1890, 4583, 8550?\nAnswer: 14007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 17.55, 2, -2, 10.\nAnswer: -3, -2, 2, 10, 17.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -282 + 303. Let o be (-3)\/(-9) + 0 - 7\/q. Solve o*a - 9*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 64.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:59 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -343*t**2 - 223*t**5 + 161*t**4 - 161*t**4 + 158*t**2 wrt t?\nAnswer: -13380*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1. Let a be (0 + 1)*(-10)\/(-1). Let l(o) be the first derivative of -o**2 + 10*o + 19. Determine a*u(g) - l(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**3 + 4*r**2 + r - 1. Let i be o(-3). Let q = -43 - i. Determine j, given that 3*j**4 + 10*j**3 - j**3 - 2*j**2 + 3*j + 5*j**2 - 12*j - q = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86807 (base 9) to base 5\nAnswer: 3320032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -3.2, 80, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + 12. Suppose y = 4*i - x + 2*x, 5*i - 3*x = 25. Find the third derivative of -7*h**2 + i*h**3 + 606*h - 606*h wrt h.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105\/245*(-2)\/(-6)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 10.6197.\nAnswer: 6.6197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -5 - -7) + -7 - -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24479 or -794.2?\nAnswer: 24479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 53, -546\/23, -5, 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*p - 52, -5*p + 0*p + 3*k = 109. Let n(f) = 2*f - 3. Let m(o) = -6*o + 10. Determine p*n(q) - 6*m(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 578297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 1211795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-15))\/1 - 3370948\/(-70) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -534 - 13*j + j**4 + 264 + 269 to the form u + c*j**4 + s*j + t*j**2 + w*j**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269945046*r - 15600 + 15600 - r**2 - 269945046*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (448*4\/(-126))\/((-5)\/135*6).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * -4.71.\nAnswer: -0.2826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7104924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 7*u + 1. Let v(r) = -r. Let x(k) = -o(k) + 6*v(k). Let z(q) = -2*q**2 - 3*q + 2. What is -6*x(g) - 2*z(g)?\nAnswer: -2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 602771, -3, 5 in ascending order.\nAnswer: -3, -2, 5, 602771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 11*b**2 - 9*b - 15. Let t be y(12). Let q be 2817\/t + -2 + -4. Let k = q + -126. Find the common denominator of k and 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**3\/2 - u**2\/2 - u. Let n be 4 + (1 - 4) + (0 - -1). Let v be (-18)\/15*5\/n. Give q(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63303.\nAnswer: 3, 21101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -12. Let u(c) = 7241*c**3 + 2*c**2 - c - 2. Let n be u(z). Let w be 600\/(-32)*n\/6. Round w to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v. Let g(f) be the second derivative of -f**3\/2 + 6*f. Determine h(g(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1573 - 6096?\nAnswer: -7619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*f**2 - 6 - 14753*f + 14753*f)*((4 - 3 - 3)*(f**2 + 4*f**2 - 3*f**2)*(-f + 0*f - f) + (-3*f**2 + 6*f**2 - f**2)*(-2*f + 0*f + 3*f)).\nAnswer: 190*f**5 - 60*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17100 = 49070*g - 49545*g for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6454115 to the power of 1\/2, to the nearest integer?\nAnswer: 2540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437 + 437 - 10*n**2.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = 2*x. Suppose 5*g + x = 56. What is the greatest common divisor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 5*h**2 + 16*h - 43. Calculate j(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**7\/490 + 3*v**6\/280 - v**5\/140 - 3*v**4\/56 + 8*v**2. Factor k(m).\nAnswer: 3*m*(m - 1)*(m + 1)*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6834 + 3337. List the prime factors of o.\nAnswer: 7, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136.8312 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213976*b + 428057*b - 214071*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 6:46 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b (base 16) to base 7.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 3*u - 13. Give m(8).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 - (-1)\/((-3)\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -820*d = -229*d + 38530 + 34754 for d.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117163067 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 20*w**2 - 3*w + 2. Calculate o(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 1. Let c(l) = -172*l + 15. Let k(t) = -c(t) + 2*s(t). Let g be k(5). Suppose -3*o = 5*d - 7374, 0 = d - 5*o - 601 - g. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 6. Suppose -3*q = -2 - 1. Put q, i, 3 in increasing order.\nAnswer: i, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 41 + i**2 + 2*i - i**4 - 2*i**2 + 19 in the form v*i**3 + x + b*i**4 + u*i + t*i**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**46\/y*y*y)**(-2\/171) assuming y is positive.\nAnswer: y**(-94\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 663.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3062291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i + 2. Let r be (-25)\/i - 2\/(-4). Calculate the remainder when 20 is divided by (-2 - r) + (3 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 9*z**2 + 10*z + 4. Let y be j(10). Suppose -1489 = -y*u + 439. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137 + 139. Let i(c) = 2 - 4 + u + 18*c + 0. Let q(h) = -h. Determine -i(k) - 15*q(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 1173.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0*x + 35\/6*x**3 - 21*x**2 + 0 + 0*x**4 + 7\/12*x**5 - 1\/12*x**6. Let l(k) = -k**3 + 4*k**2 + 4. Calculate 4*h(g) - 35*l(g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 13 + -4 - (20 - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (139\/556)\/((-2)\/(-14032))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2453801618 to the nearest integer?\nAnswer: 49536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 2*w + 4. Let t = 91 - 79. Let s be 1 + 4 + t + -17. Let d be f(s). Solve -4*i + r - 6 - 6 = 0, d*i - 8 = -4*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*l - 123*l = -105. Let d = 40 - l. Let h(k) = -5*k + 0*k**2 + k**2 + 5 + 2. Give h(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1302907.1 and 3.3?\nAnswer: 1302910.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -39. What is the second smallest value in w, -4, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1491611 = -4*c - 30291619, 28799990 = y + 5*c. Round y to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54370 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -2\/7, -1\/8213 in descending order.\nAnswer: -1\/8213, -2\/7, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -475 + 69?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328463?\nAnswer: 23, 14281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/5, 2, 8, -3\/22, 10\/7 in decreasing order.\nAnswer: 8, 2, 10\/7, -3\/22, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*u + 7*u. Let r = -102.9 + 99.9. What is the nearest to r in -0.5, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + -122?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 + -2)\/((-2)\/318) is divided by (-1)\/(-20) - 85785\/(-4300).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*k + 2*k**2 - 149*k.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = -62*w + 37*w + 479 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/73030 and -47\/73030?\nAnswer: 73030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/(-2)*1004\/(-1506).\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 3*l + 7. Let j be q(-4). Let b = 19 + j. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g + 18. Let q be p(0). Let b be (0 - 4)*(14 - 23). What is the highest common divisor of b and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4840*h*u**2*y**3 - 7*h*u**2*y**2 - 10*h*u*y**2 - 2*h*u - 14*u**2*y**4 - 4*u**2*y - 3 wrt y?\nAnswer: -29040*h*u**2 - 336*u**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 43*n**7\/7 - n**4\/6 + 10*n**3\/3 + 3*n + 23. Find the third derivative of s(z) wrt z.\nAnswer: 15480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2*(-89)\/(-78) + -1)\/10. Let r = -1\/195 + h. Let i = -0.7 + 0.2. Which is the fourth smallest value? (a) -5 (b) r (c) 2\/9 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 8*z + 5180 = 0. List the prime factors of z.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 495658.78 + -495653.1299954. Let p = o - 5.65. What is p rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -52, -75, -98?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 4936*t - 24630.\nAnswer: -2*(t + 5)*(t + 2463)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m - 24*m = -3. Let z = -64\/9 - -1709\/234. Calculate the common denominator of z and ((-42)\/m)\/(1 + 3).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6625 - -1.6. Let s = n - -334.0625. Let p = s + -334.00000318. Round p to 7 decimal places.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.9 + 0.1. Let u = -0.2 - -0.6. Let x = u - 3.4. What is the biggest value in -2\/5, x, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000 - -110010110001100?\nAnswer: 110010100100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 263, -6, -3, 34, 3, 2.\nAnswer: -6, -3, 2, 3, 34, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - -7)*(-2 - -2). Let s(x) be the third derivative of 1\/20*x**5 + r*x + 0 + 5\/24*x**4 + x**2 + 1\/3*x**3. Determine d so that s(d) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4469, -8935, -13399, -17861, -22321, -26779, -31235?\n\"Answer: v**2 - 4469*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1622188 is divided by 485.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 57. Let p be a(-30). Let w(u) = -3*u**2 + 1588*u + 6*u**2 - p - 1591*u. Give w(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*k + k = 72, k = -d + 18. Calculate the greatest common divisor of d and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96590185 - 3.\nAnswer: 96590182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.1 and -1857.\nAnswer: 31754.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 11\/2 (c) 1\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -433371, -866560, -1299751, -1732944, -2166139?\n\"Answer: -q**2 - 433186*q - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -551839*g*w**4 + 561*g*w**2 - 24*g wrt w?\nAnswer: -13244136*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 247177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276280245 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (sqrt(84) - -1*sqrt(84) - sqrt(84))*5)\/(sqrt(12) - sqrt(48)*2).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2\/7, 1\/4, -4.567?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -301*l + 42754. Let a be (-32)\/(-6) + 1\/(-3). Suppose 4*s + 118 = 2*u, 3*u - a*u - 2*s + 112 = 0. What is the remainder when u is divided by f(142)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/246 and -89\/318078.\nAnswer: 318078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4*m + 9 = -0*l, -m = 3*l - 1779 + 1755 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/((-40)\/(-12))*-2. Find j, given that 6*j**2 - 21*j**2 - 6*j**r + 12*j**2 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264910 and 1165604?\nAnswer: 5828020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -25734 (b) -17761 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -43242?\nAnswer: 43235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*w + 3*w. Let p be 123 + (3 - w*6\/9). Suppose -4*t + 107 = 5*o, 3*t + 2*t - p = -3*o. Calculate the greatest common factor of t and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m - 29. Let g be i(11). Let b = 45 - g. Sort 0, 5, b in decreasing order.\nAnswer: 5, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31093 is divided by 112?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 2. Let f(r) = r + 1. Let m(z) = 3*z - 3*z + 5*z - z**2 + 3 - 9. Let p be m(4). Let d be (-80)\/(-35) + p\/7. What is d*f(w) + u(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2. Let u(v) = 2*v - 6. Give p(u(d)).\nAnswer: 12*d**2 - 72*d + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/35 + (-1341)\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-12)*3\/(-2). Let q be z\/2 + (6 - 1). Solve 0*g = -2*g + q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 210 + 43 - 41 = 0. Calculate the remainder when 149 is divided by m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2425516 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -225 + 247. Find the third derivative of u*j**5 + 30*j**5 + 4*j**2 + j**4 + 48*j - 2*j**2 wrt j.\nAnswer: 3120*j**2 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.65 - -0.05. Let y = o - -0.3. Let p = 3080.3 - 3080. What is the closest to 0.2 in y, -0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-3 + 5) - (0 + (-2 - -4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 101*z**5\/60 - z**4\/24 + 7*z**2. Let k be f(-1). List the prime factors of ((-1)\/(-2))\/(3\/k).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -3, 16, 0 in ascending order.\nAnswer: -5, -3, 0, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1424348 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114.9 + -91. Let w = 24 - u. Which is the nearest to 1? (a) -14 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-16))\/7*(5 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3272, -7348, -13004, -21026, -32200, -47312?\nAnswer: -67148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxgl when four letters picked without replacement from {l: 4, x: 1, e: 1, y: 2, g: 2, a: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2. Let y(b) = b**2 - b. Let m(d) be the second derivative of -d**4\/3 + d**3\/6 - 4*d. Let g(j) = m(j) + y(j). Give t(g(n)).\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372911?\nAnswer: 7, 11, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-375)\/500)\/(1\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50.289 at least 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 5*m = -3, 3797 + 3797 - 7606 = -4*a + 5*m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.68 - -8.3590333.\nAnswer: -0.3209667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1867, -7499, -16923, -30169, -47267, -68247, -93139, -121973?\nAnswer: -154779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 3*m - 10, 2*m - 6*m = 2*t + 18 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121180 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 5:16 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000022027326 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = u - 12, -3869*y + 24 = 4*u - 3864*y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 4*f - f - 3*f + 6*f**3.\nAnswer: 6*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + ((-7)\/(-2) - -3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191310 divided by 35.\nAnswer: -5466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 13*o**2 - 576*o + 6986. Give z(12).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 10 - 2 - 1)*(3*g - g - 5*g).\nAnswer: -66*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52494 is divided by 4766.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.32 + -1.01. Let l = -1437.77 - -1429. Let w = l + z. Round w to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/27 and 31\/9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1208 and 74\/453.\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2122320 (base 6) to base 11\nAnswer: -71347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42346039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -15 - (-7 + 10)) + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 + -42?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-288)\/(-6336)*(60\/(-5))\/(-1).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czzz when four letters picked without replacement from {c: 4, z: 14}?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-8))\/(2\/(-12)). Let r(i) = -i**3 + 5*i**2 + 3. Let b be r(5). Let a be ((-1)\/b)\/((-1)\/(-3)). Which is smaller: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 5. Let v be 2\/(-3) - (-56)\/o. Let x be (-27)\/((-4 - -1)\/3). What is the highest common factor of x and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1839\/38006*(-5 + 1).\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5210?\nAnswer: 2, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/26)\/(2\/4). Suppose -2*u = -5*l + 4 - 28, 16 = -4*l. Suppose 0 = u*x + 23 - 19. What is the closest to x in c, -1, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p**3 + 2*p**2 + 3*p - 2. Let d(m) = 2*m**3 - 2*m**2 - 2. Let o(f) = -3*d(f) - k(f). Determine o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n**2 + 17*n + 2. Let o(l) = 8*l**2 - 18*l - 3. Let q(i) = -6*o(i) - 7*p(i). Let f be q(11). Calculate the greatest common divisor of 28 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 + 8*k - 4. What are the prime factors of n(4)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/618 and -37\/18.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -528\nAnswer: -528.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 2*h + h - 12, 3*v = -4*h - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqlqqlqlqllllqlllll. Give prob of sequence lql.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2529, 2562, 2595, 2628, 2661?\n\"Answer: 33*p + 2496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 1\/4 (b) -1\/228 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 255.493 times 12.1\nAnswer: 3091.4653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y = -12*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x + 11. Let t(n) = 26*n + 32. Suppose -5*j - 22 = -107. Let f(o) = j*z(o) - 6*t(o). Let b = 6 - 10. Determine f(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17277540 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143889 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46951354 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10320286.\nAnswer: 2, 5160143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 + 7538?\nAnswer: 7556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -8*g + 70. Suppose 3*v = 2*v + 3*s + 1, 2*v = -2*s - 22. Let d = g + v. Solve -5*f - 2*j - 8 = 0, -2*f - 4*j - d = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**5\/60 - u**4\/4 + 7*u**3\/6 + 3*u**2. Let n be m(5). Sort -1, 3, n.\nAnswer: -1, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtnnhnnhn. What is prob of sequence xth?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 674920 or 674919?\nAnswer: 674919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6515.2 - 8127644932?\nAnswer: -8127638416.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, s: 1, q: 3, u: 1, d: 1}. Give prob of picking 1 q and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**2 + 3*l**3 + 456 - 456 + 5*l**4 + l**5 - 4*l = 0. What is l?\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 + 276\/34 - 55\/34. Let s = -2 - -1.8. Let p = s - 0. Which is the closest to 1\/4? (a) p (b) x (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 273*t**4 - 2*t**6 - 20*t**2 - 1 + 10*t**3 - 273*t**4 wrt t.\nAnswer: -240*t**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 7 + -9 + 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/10*-1)\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 595462.7t to kilograms.\nAnswer: 595462700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y**2 - 99*y - 94. Let t be a(-10). What is the third biggest value in t, 122, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.385733947 rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 16*d - 13*d. Solve -1 = 3*f - o, 4*o = 5*f - d - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a + 19*a + 348 = 0. Let h(q) = -48*q + 12*q + 16*q - a + 13*q. What is the units digit of h(-31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3523048?\nAnswer: 2, 23, 41, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*t**3 - t**2 - 2*t - 645 wrt t?\nAnswer: -66*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 229340 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/17 - 772*d\/17 - 74498\/17.\nAnswer: -2*(d + 193)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (6*3\/(-9))\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 30*o**5\/11 - 502*o**4\/11 - 1962*o**3\/11 - 50*o**2\/11 + 1764*o\/11 + 720\/11 = 0.\nAnswer: -3, -2\/3, -3\/5, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - -1 - 5 - (-158 - -170)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 5*b**4\/12 - 8*b**3\/3 + b**2. Suppose 7 = -m - 4. Let u(d) = -5*d + 3 + 7*d - 4*d. Determine m*u(t) - 2*l(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 1:57 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -10. Let o = d + -46. Let x = o - -43.9. Round x to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 6*k + (-1 + 3 + 1)*(-114 + 50 + k - 35).\nAnswer: -3*k - 297","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 - 32*a**2 - 91*a + 1. Give t(15).\nAnswer: -1814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1 = 6. Suppose -2*f - 10 = h - 6*f, -b*f + 38 = 3*h. What is the highest common divisor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6154 + -6152. Let u(j) = -2*j**2 + 15*j + 3. Let r be u(8). Which is the nearest to -1? (a) q (b) -2\/3 (c) r (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -1\/12*r**6 + 1\/8*r**4 + 0*r + 0*r**5 + 0*r**2 + 0*r**3 - 24. Factor t(l).\nAnswer: -l**3*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7592*j = 7605*j + 65 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31713 is divided by 138.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -4*s + 3*g + 48, 0 = 4*s - 4*g - 176. Suppose s*t = 44*t - 2. Suppose -l + 4*l = 2*w + 2567, -1714 = -t*l + 2*w. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1538199*0.2\nAnswer: -307639.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 - 8*k**3 + 8 + (-6*k**2 + 2*k**2 - 6*k**2)*(14*k - 9*k - 66 - 7*k).\nAnswer: 12*k**3 + 660*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 22193 - 1987*t - 44397 + 22200 in the form i*t + f and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 2103?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.057, -5, 6, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 10:19 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1959.858068 to the nearest 10.\nAnswer: -1960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - c**2 + 1. Let a(s) = 5*s**3 + 4*s**2 - s + 16. Let p(g) = a(g) + 4*z(g). Let y be p(0). Calculate the highest common divisor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3818443967?\nAnswer: 13, 17, 67, 83, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + s - 2. Let x be y(-2). What is the first derivative of k**x - 2*k**4 + 3*k**4 + 2 - 5 wrt k?\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19954050 by -9710.\nAnswer: 2055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + 4 + 0 + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 1485?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + l = 3 - 0, 0 = -2*r + 5*l + 7. Let m = 5 - r. Suppose t - 33 = -m*w, -t + 76 = 3*t + 2*w. Calculate the remainder when 49 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {u: 3, y: 1, q: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 59?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340 - 921*h**2 - 340 - 387*h**2.\nAnswer: -1308*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 5*m - 14, -13 = -5*m + 4*h + 19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Let l = -87 + 48. Let b = i - l. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33132.9775 + 33072. Let g = 61 + a. Round g to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 7:03 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5897\/6 + 984. Let a(h) be the third derivative of -1\/12*h**4 - z*h**3 + 16*h**2 + 0*h + 0. Calculate a(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7160)\/5370)\/(4\/(-81))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*u - 9243 = 1341*u + 30177 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9*r**3 + r**2 + 46*r + 35. Is 8 a factor of x(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 284*w + 1135. What is m(0)?\nAnswer: 1135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*i - 3843 + 943. Calculate the highest common factor of 1943 and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 2*r + 9 = 0, -5*k + 3*r - 351 = -325 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221 - 983 + 231 + 531 - m + 7*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/(-88)*17\/(-3) + -2. Suppose 5*f = -3*x - 8, 2*x - 8 = -0*x. Let z = f + 3. Is c < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from xqqxdxdxqqq.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 18 = 21*m. Let l be (-8)\/m*30\/4. Let d(w) = 3*w**2 - 12*w + 44. List the prime factors of d(l).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14351405*o**2 - 57405635*o + 60.\nAnswer: 5*(o - 4)*(2870281*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(7*d - d - d)*(2*d - 3*d + 2*d)*(d**2 - d**2 + 2*d**2).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-4 - (-3 - -1)). Let r be -1 + m + 0 + 3. Find the first derivative of 1 - 4*k**4 - k + k - r wrt k.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**2 + 5*l + 1. Let y(b) = -11*b**2 + 11*b + 2. Let p be (-2 - 0)*((-1)\/2 - 60\/40). What is p*y(u) - 9*o(u)?\nAnswer: u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25961*y - 50541*y + 24585*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18306294.\nAnswer: 2, 3, 431, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 15*l**2 - 3*l - 29. Let m be 0 - (1 - (16 + -1)). Suppose -2*j - z = -3*j - m, 5*z + 20 = -j. What is the tens digit of c(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -902, -681, -366, 43, 546, 1143, 1834?\n\"Answer: 47*j**2 + 80*j - 1029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-2)*28\/(-3). Let w(f) be the first derivative of -f**2 - 5*f - 5. Let m be w(-5). Solve -4 = -m*s - a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5c (base 15) to base 6\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3518 + 1?\nAnswer: -3517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3\/4 - 131433*b**2\/4 + 5007450*b - 190447716 = 0.\nAnswer: -43963, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6616 or 6.4?\nAnswer: 6616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 11:57 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/7))**(-3\/10) assuming g is positive.\nAnswer: g**(-3\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 550.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-28)\/b*b)\/b)**(-2\/57)\/((b**(9\/5)\/b)\/b*b)**(-45) assuming b is positive.\nAnswer: b**(2108\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-3\/16)\/m*m*m**(1\/5) assuming m is positive.\nAnswer: m**(81\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/(-33))\/21*(-99)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((66\/(-55))\/((-48)\/(-60)))\/(6\/40).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**3 + 3*l**2 + 3*l + 1. Let s = 2 - -1. Let i(w) = -w + 44 + 73*w**3 - 74*w**3 + 13 - 58 - w**2. Determine s*i(r) + m(r).\nAnswer: r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 15*n**2. Let y(s) = 18*s**2 + 1. Give y(m(p)).\nAnswer: 4050*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14144350 - -52?\nAnswer: -14144265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = l + 10*h, l + 2*l + h - 27 = -2*h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7559*k + 2491*k + 482400 = 0 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.35 or 7217222?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 36 = -4*s, 3*s - 27 = -b + 3*b. What is the smallest common multiple of s and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 12*b. Let d be q(5). Find the common denominator of ((-508)\/d)\/((-6)\/5) and -83\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1202 (base 6) to base 10\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287356 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.7007 less than 2363.7911?\nAnswer: 2373.4918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1812*m*s**2 - 2008*m*s + 2*m wrt s.\nAnswer: 3624*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1032535 + 5?\nAnswer: 1032544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 4*l**2 + 5*l. Let q be x(-5). Let k(p) = 24754 - p + 3*p**2 + 0*p**2 - 24764 + p**2 - 5*p**2. Give k(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/6 and -43\/507.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3510, -3503, -3496, -3489, -3482?\n\"Answer: 7*x - 3517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 162 - 108. Factor 6 - 13*p - 2 - 2*p**2 - 7*p - s.\nAnswer: -2*(p + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1396.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*w + 2*w + 6 = 0, 4*w = 4*v - 24. Which is the smallest value? (a) -0.05 (b) v (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5995\/327)\/((-375)\/90)?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 948\/158*(-135)\/(-24)*-4\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (93\/(837\/6))\/((-1)\/9*20).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138108 and 28434?\nAnswer: 966756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 2 - 2*v - v**2 + 1\/3*v**3. Is x(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/90 - 65\/(-6). Suppose -z*o + 108 = 7*o. Solve x = o*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (360\/45*(-3)\/(-8))\/27?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 128*w - 924.\nAnswer: -4*(w + 11)*(w + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1289936748 to 5 dps.\nAnswer: -0.12899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2, 4\/13, 0, -3\/20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -65.09, -2\/11, 3.436?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.579607g to kilograms.\nAnswer: 0.000579607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338 - 416 = 5*v - 11*v for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -15*m + 117. Let q be d(18). Let x = q - -175. Calculate the remainder when 87 is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a - 946 = a + 1420 - 1771 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -43 (c) -343\/3 (d) 1.5 (e) -1 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 1:58 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -761 divided by -1907\nAnswer: 761\/1907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*l + 68*l + 2922. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b + 2. Let u be g(-4). Let a(f) = -2*f**2 - 6*f + 1. Let s be a(-5). Let z = s + u. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 69*v + 22. Let g(u) = -14*u - 4. Let h(a) = 11*g(a) + 2*q(a). Let w(b) = -3*b**2. Determine h(w(c)).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1898?\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -833 + 49148\/59. Suppose m + 30 = 3*q + 17, 4*m - 2*q + 12 = 0. Is m at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 5*n = p, -24 = 5*p - 3*n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-35 - -35) - 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*o - 16 = 11, -4*i + 5*o = -33. Let u = 116 + -116. Solve z - i*d = -u*d, -1 = d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -908, 526, 5 in descending order.\nAnswer: 526, 5, 1, -4, -908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275403.\nAnswer: 3, 91801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5 + 3 = 0. Suppose 0 = -z - u + 2, 4*l = -z + 14. Solve 10 = f + l*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 26*w**2 + w + 2. Calculate r(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*m + 19, 2*m - 4*g - 9 = m. Suppose -3*q - 182 = -m*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 190*a + 373. Let k be b(-2). Let x(q) = 13*q**2 - 7*q - 17. Let v(d) = 6*d**2 - 3*d - 8. What is k*v(s) + 3*x(s)?\nAnswer: -3*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3, -2, -1\/18, 15936?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -226 + 125. Is 26 a factor of (-2)\/(-1) - (n + 4 + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) -5\/3 (c) 0.4 (d) 1 (e) 2 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 175 - -148. Let j = 456 - f. Let y = -132.999891 + j. What is y rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 315 = 3*o - 1184, -1457 = -5*o - 2*s. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2496920 is divided by 30444?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 242845 and 20?\nAnswer: 971380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3770 by -26.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 - 16*l + 44. Let r be o(-10). Solve -4 = 4*z + r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 58. Let i = -38 + o. Let u = i - -18.99999981. What is u rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*h + 42. Calculate the greatest common divisor of 98 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7206 - 7206.1. Which is the closest to 1? (a) l (b) 5\/6 (c) 0.1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 22. Let p(l) = 7*l**2 - l**3 - 2 + 4*l**2 - 8*l**2 + l**2. What is p(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -215196 (b) 3 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120 - -360. Suppose w = -7*x + 2*x. Let k = x - -100. Solve 0 = 3*q - k*q - s - 1, s = 3*q + 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -4, -124, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-66)*5280\/96\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1233*a + 5266 = 71*a - 9078 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*h + 13*h = 91145652. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*r = 36. Calculate the remainder when 35 is divided by (-4)\/(-18) - (-212)\/r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.037 + -0.007. Let n = j - -0.57. Let o = 1.95 + -5.95. What is the third smallest value in o, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 853?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, k: 4, q: 2}. What is prob of sequence qtq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 98.9 times -0.1\nAnswer: -9.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62957267, 125914543, 188871819, 251829095, 314786371, 377743647?\nAnswer: 440700923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6216000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*g + 61*g - 102180. Is g > 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 121, 365, 841, 1627?\nAnswer: 2801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1960)\/1225)\/(6\/(1\/((-1)\/(-10))))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -14*l**2 - 1028 + 1028. Let y(s) = s**2. Give y(v(q)).\nAnswer: 196*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**3 - 64*c**2 - 119*c - 5. Let t be j(-2). Sort -5, t, -3 in increasing order.\nAnswer: -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.077 times -1\nAnswer: 10.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 84*d - 16 + 4 to b + q*d and give q.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 4305*a**2 + 80267880*a - 149929587500.\nAnswer: -5*(a - 2618)**2*(a + 4375)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 11:22 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 31*n + 3084 = -34*n, 2*f + 2*n = 1224. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -16*n + f + 61, -2*f = -8. Let p be 2 - 4*(1 + -3). Suppose 5*c + 0 = -p, 0 = -r + c + 52. Calculate the remainder when r is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3814, -7641, -11480, -15331, -19194, -23069, -26956?\nAnswer: -30855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 + 109*x.\nAnswer: -x*(x - 218)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(847) + sqrt(847) + 0 + sqrt(847) + sqrt(847) + -2 - sqrt(847)))**2.\nAnswer: -3300*sqrt(7) + 190675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -13.5, 4, 4\/7, 0.6, 1\/2, -4 in descending order.\nAnswer: 4, 1, 0.6, 4\/7, 1\/2, -4, -13.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -1\/2*c**2 - 1\/6*c**4 - 38*c + 0 + c**3. Give r(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56541269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 4 + (-1 + 0 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2569*y + 6426. Let r(d) = 7709*d - 19177. Let c(h) = 3*r(h) + 8*u(h). What is the derivative of c(g) wrt g?\nAnswer: 2575","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13860 and 7047.\nAnswer: 10852380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 27507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6291 and 235332?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 5*r**2 - 4*r + 2. Let o(p) be the first derivative of -p**4\/4 + p**2 - 2. Let d be o(-2). What is m(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 11*j. Let v(m) = -m**2 + 6*m. Give 3*l(z) - 5*v(z).\nAnswer: 2*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4630690 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v**3 + 12*v**2 - 11*v - 9. Let d(o) = 5*o**3 + 11*o**2 - 10*o - 8. Let s(h) = -7*d(h) + 6*m(h). Let r be s(4). Is 8 a factor of (r - 0) + 2*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11*h - 67. Let s(v) = v. Let g(a) = m(a) - 3*s(a). What is the remainder when 24 is divided by g(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 2. Let n = p - 1. Which is the closest to -1? (a) n (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.85 - -8. Let j = m - 0.05. Let f = 7605 + -7604.9. Which is the closest to f? (a) j (b) -2 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t\/t**(1\/4))\/t*t**(-3)*t*(t*t*t*t**1)**(1\/10)*(t**(-1\/5)*t**5*t)\/(t**1\/t)**29 assuming t is positive.\nAnswer: t**(99\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*k + 72 = -35*k. Suppose -k*m = -14*m - 60. Calculate the remainder when 69 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -21 + 1372\/70 - (1 + 54\/(-10)). Solve x*g - 70 + 46 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/13)*j\/j**0*j**(1\/2)*j**(-5)*j)\/(j**(-1\/11)*j**(9\/5))**(-24) assuming j is positive.\nAnswer: j**(55301\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(21)\/sqrt(3) - sqrt(7) - sqrt(7)))**2 - sqrt(4)\/sqrt(98).\nAnswer: -sqrt(2)\/7 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/72 and (-3)\/12*308\/(-6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 963956373.54.\nAnswer: 963956368.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**5\/5 - 7284*c**4\/5 - 236*c**3\/5 + 429396*c**2\/5 + 131432*c - 582720 = 0?\nAnswer: -5, 2, 8, 1821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 14334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 941073 a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86)\/(-18) - 20\/(-90).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m + 9*m + 7*m + (-2*m + 2*m + m)*(-2 + 5 - 2) + 124*m + 2361 - 2361 in the form v*m + j and give v.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280764413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507290 rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6524 - 37120?\nAnswer: -30374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*n + 11 - 11)*(-7 + 4 - 4*n + 3*n) to the form s*n + b + z*n**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2013?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 3:27 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2149\/9 - -239. Let t be (2\/(-24))\/((-9)\/(-18)). Put d, -2, t in decreasing order.\nAnswer: d, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 22, -3 in increasing order.\nAnswer: -3, 0.3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 20 = b - 8, 5*b - 2*k = 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14698*b*i**3 + b*i**2 + 2*b - 10*i - 227 wrt i.\nAnswer: -88188*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -64, -80, -100?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14197429 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)\/(2*sqrt(8)) - sqrt(17)) + sqrt(51)\/sqrt(3) + 0)**2 + (sqrt(17)*-1 + 1 - (1*sqrt(187))\/sqrt(11)).\nAnswer: -2*sqrt(17) + 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1) + (-663)\/255\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 83*p - 14032. Calculate c(84).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 - 4*h - 8. Let s be (-6)\/10 + 12\/(-30). Let d(f) = 6*f**3 + f**2 - f - 1. Let v be d(s). Is i(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + b - 16. Let o be i(4). Suppose -c = -5*z - 177 - 428, o*c = 2*z + 224. Round z to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j**2 + 6*j. Let s(w) = -11*w**2 + 17*w. Let u be (8\/(-6)*(-9)\/2)\/1. Let a(c) = u*s(c) - 17*n(c). Let q(k) = 2*k**2. What is a(q(i))?\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 1 - (-1 - -3)) + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t*(t**(-1\/4)*t*t)\/t)\/t*t))\/(t**(-14)\/t))\/(t**0*t*t*t**(-15)))**(8\/5) assuming t is positive.\nAnswer: t**(218\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*c - 5*a, -c - a + 6 = -3*a. Is 206\/c*138\/(-23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 9*l + 169. Let q be a(-18). Calculate the greatest common divisor of 196 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 178e40?\nAnswer: -178e40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (37 + (-84 - -54))) + 0 + -3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85805*p**4 + 62880*p**3 + 1721610*p**2 - 635040*p - 8751645.\nAnswer: -5*(p + 3)**2*(131*p - 441)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 42. Let l(b) = -2*b**3 - b**2 - 3. Let g(d) = 28334*d**3 - 28326*d**3 + 0*d**2 + 11 + 4*d**2. Give t*l(n) - 6*g(n).\nAnswer: -4*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18444891.\nAnswer: 3, 6148297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*c + 1365*c + 30492 = 0 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -856 + 861. Let z(j) = j + 140. Let o be z(0). Suppose p - o = x + x, -3*x = u*p - 687. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9264?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*f - 19 = 0, -n - 8 = n - 4*f. Suppose 110 = -n*z + 310. What is the highest common factor of 40 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 6*f + 3. Let b be k(6). Solve -b = -3*l - 4*h, 3*h - h + 16 = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*z + 40, 5*z = 8*f - 5*f - 78. Let i be (-4)\/z - (-48)\/27. Let q be 32\/14 + 4\/(-14). Solve h - p - 2 = -q*p, h = i*p - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) -13 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -201 - -200.805. Let g = n + 0.199. What is g rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6699159 is divided by 1580.\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f*f\/f**(7\/4)*f))*(((f*f**(-3))\/f*f)\/f)\/f)\/(f**(2\/15)\/((f*f*f**(-11)\/f*f)\/f)) assuming f is positive.\nAnswer: f**(-713\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 111134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.192 - 0.778. Let v = 0.03 - y. Which is the nearest to 2\/9? (a) v (b) -0.2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 12:26 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3604 - 3602. Let r(j) be the first derivative of -8*j - 16 + 1\/2*j**k. Determine r(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t**2 + 4*t**3 + 1160*t + 1160*t - 3478*t + 2 + 1158*t in the form r*t + s*t**2 + p + x*t**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 7:31 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321.6018 kilograms to milligrams.\nAnswer: 321601800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-1\/5)*k*k))\/(k\/k**(1\/5)))\/(k*k*k\/(k\/k**(-2\/5)))**(-22) assuming k is positive.\nAnswer: k**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4011 = 207*t - 15477261. Does 23 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l**3*y + 2*l**3 + 4052982*l**2*y**3 - 8243 wrt y.\nAnswer: -2*l**3 + 12158946*l**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 5:34 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -11*c**2 + 17*c - 3. Let a be -3*2\/12*-16. Let t(v) = -a*v**2 + 17*v**2 - 2*v**2 + 2 + 4*v - 15*v. Give -5*i(x) - 8*t(x).\nAnswer: -x**2 + 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 4. Let v(h) = -4 + 5*h + 5*h - u*h. What are the prime factors of v(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112.49 + 508715645\nAnswer: 508715532.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 2787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/3, -0.16, 1, -1\/2?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0 = 2. Suppose 0 = c + q*c - 21. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + 4. Let q = 273 + v. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -55, -511, -1783, -4279, -8407?\n\"Answer: -68*j**3 + 20*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 0*w**2 + 0 + 1\/3*w**3 - 1\/10*w**5 - 2*w + 0*w**4. Factor l(d).\nAnswer: -2*d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96a602 (base 11) to base 9\nAnswer: -2824034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 - 6 = 3*g. Let b be 1321\/6 - 80\/g. What is the greatest common factor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/11*(-12650)\/(-2875).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:42 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3101 and 203375984?\nAnswer: 3101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 16 = -m, 2*m = -0*m + 2*a - 8. Let g = m + 2. Let d be (203\/(-14) + 23)\/((-1)\/2). Put g, -3, d in decreasing order.\nAnswer: g, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*742\/3975*(560\/343)\/(-8)?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-12)*(-1)\/6*(-1)\/(-1)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0232 - 0.2786. Let q = 1.29 + -1.6. Let u = q - d. Round u to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 6. Let m be (-2)\/16*(b - 1). Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/3)\/(3\/(-885)). Round t to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7 * 29.3.\nAnswer: 79.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/924 and 173\/6114024.\nAnswer: 67254264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 988.5 + -1076. Let r = 87.6 + y. Let x = -6 - -3. Which is the biggest value? (a) -3\/7 (b) x (c) r (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 4:07 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**2*o**3*p - 2*b**2*o*p - 35*b**2*p + 175*b**2 - 60*o**3 - o**2*p wrt o.\nAnswer: 24*b**2*o*p - 360*o - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 142 = 3*x, 0 = -5*x + 3*j + 151 + 83. Suppose x - 98 = -g. Calculate the greatest common factor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = 5*f - 4*p + 119, -f - 35 = -5*p. Let c be f\/(-5) - (0 + -2). Solve 4*r - 4*h + c = 0, 3*r + h + 1 = -0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = z - 2*z - 5, -16 = 2*t + 4*z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -20, j - r + 2 = -7. Let y(u) = -6*u - 15. Let c be y(j). Suppose -c*n + 13*n = 80. What is the greatest common divisor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4615 a factor of 20598830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2953751 and 2031.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -572078, -4, 0 in descending order.\nAnswer: 0, -4, -572078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z + 6. Let v be g(-4). Let t be 10\/(-18) + v\/(-6). Let k = -42 - -42. Which is smaller: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*52\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 17*l**2 - 1388*l - 498. Calculate m(82).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-9)))**24*(i**(-17\/5))**36 assuming i is positive.\nAnswer: i**(468\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 12 = -4145*u + 4147*u, -2*u + y - 14 = 0 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*s = 204*s - 243278 - 465850. Is 72 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-10)\/(-4))*7\/21. Suppose 74*t = 76*t - 14. Let l be (-29)\/t + (9 - (2 - -3)). Which is the closest to d? (a) l (b) 1\/6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(125) - (sqrt(125)*-4 + sqrt(125))**2) - -2*(sqrt(125)*5 + sqrt(125)))*4.\nAnswer: -4500 + 260*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10956 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + a - 2. Let h(l) = -l**2 + 1. Let f be h(-1). Let j = f + 2. Give c(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 81807264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15521 - 57969071668\nAnswer: -57969056147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.923 rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = z - 5, -z + 25 = -0*z - 3*x. Let i(m) = -m**2 + 14*m - 14. Let r be i(z). What is the smallest value in 5, 2\/13, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3729*(140\/21 + 0). Let s be 4\/(-5) - a\/(-50). Is s smaller than -497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 317, 652, 999, 1358, 1729, 2112, 2507?\nAnswer: 2914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*y - 35683 + 1891. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b - 24 = 24*b + 2*q, -28 = 4*q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1524.489 - 0.511. Let x = -1603.7 - n. Round x to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -30. What is the third smallest value in 0.4, t, -0.37, 3\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (96\/(-144))\/((-2)\/656295) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/70520 and 11\/70?\nAnswer: 493640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5056, 20674, 46854, 83590, 130876?\n\"Answer: -r**3 + 5287*r**2 - 236*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1850799 greater than -1850797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 9:47 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -20112002?\nAnswer: -20112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 38*y - 489. Let g be r(13). Let z = -43 + 83. Calculate the highest common factor of z and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + -4b?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 6*h - 4. Let j be d(-6). Let p = j + 10. What is the units digit of 28\/6 + (-4)\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-57)\/(-4) - (-5)\/(-20). Suppose 4*j = 5*t + 5 - z, 21 = -4*j + t. Let g(u) = -u**2 - 3*u - 5. Calculate g(j).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from eessffupp?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**4 + 306725*d**2 + 10*d + 228769702 with respect to d.\nAnswer: 4*d**3 + 613450*d + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g - 94. Let o(f) = 2*f + 47. Determine -5*o(l) - 3*u(l).\nAnswer: 2*l + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77935070*s**2 - 9 + 9 + 77935069*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270317415?\nAnswer: 3, 5, 1367, 13183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 13*c**3\/3 + 7430. Let f(u) = -198*u. Determine y(f(r)).\nAnswer: 509652*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hi when two letters picked without replacement from {l: 2, z: 1, i: 1, a: 3, h: 4, p: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4510365 - 3?\nAnswer: 4510362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 1, 56 in increasing order.\nAnswer: -5, 0, 1, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*v**2 + 37*v**2 + 448*v**2.\nAnswer: 386*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -39\/11, -5\/4, 2, -3 in increasing order.\nAnswer: -39\/11, -3, -5\/4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 9:55 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 46623381100*u**2 + 2*u**3 - 46623381100*u**2.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2195200 by -31360.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (4 - (8 + 1)). Suppose 0 = -5*t + f - 2*f + 6, -j*f = t + 6. Let n(k) = -13*k**2 + 10*k**t - 23*k**2. Let y(d) = d**2. What is n(y(g))?\nAnswer: -26*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-958)\/12 - 4\/24. What are the prime factors of (c + 2)\/(-4 - -2)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21224 (base 5) to base 8.\nAnswer: -2637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3224 - 1894. Are i and 1329 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*i**3 - 116 - 30*i**2 - 29*i**3 + 119 in the form z*i**3 + w + d*i**2 + s*i and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*y = 17, 5*g = -2*y - 0*y + 5. Suppose g*w = 4*k - 50, 0 = k - 0*k + 5*w - 24. Solve 5*p - 2*b + 9 = 2, 2*b = -2*p - k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17654 is divided by 155.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/6, 93, 2, -5, 0.4, -43?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1399 = -5*w, 215 = 2*c + w - 486. What is the highest common divisor of 39 and c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 3226400.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 12. Let w = i - -3. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -202?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217\/434*(-8)\/(-17).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/13 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 5*n - 5. Suppose -3*c - 6 = 0, -4*o + 3*c + 22 = 2*c. Let a(h) = -2*h**2 - 8 + 2 - h**2 - 6*h + 5*h**2. Calculate o*a(j) - 6*v(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 11:19 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.7 + -11.7. Let v = 0.9 + -1. What is the smallest value in b, -3\/7, v?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 4 = 6*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v*v**(-1\/5)*v*v\/(v\/v**(1\/9)))\/(v**7\/v**(-2\/5)) assuming v is positive.\nAnswer: v**(-112\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-21)*(-18)\/12*1)\/(-20)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1183 divide 295763013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7398 is divided by 1830.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4599)\/36135)\/((-14)\/10).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -12*z - 970. Give q(-83).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 10:01 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2141 + -40667\/19. Suppose 12*g + 27 = 15*g. Let x be 0*2\/(-3 + g). Is c >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 6. Find the second derivative of -k*z + 9*z + z**3 + 2*z wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74\/73 - 76\/219. What is the biggest value in 0.3, 44, d?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -o + 21, -97*o - 1 = -95*o + l + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 160 = 37*x. Let p(s) = -s**3 - 9*s**2 + 10*s + 5. Give p(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1495 = 77*n - 72*n. List the prime factors of n.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 + 1. Suppose 1 = 24*a - 25*a. Let m(r) = -r**3 + r**2 + 1. Let b(q) = a*h(q) + m(q). Factor b(k).\nAnswer: k**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*t + 563*t - 4816 = 0 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3777*t - 3787*t + 2390. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18404111 + 5?\nAnswer: -18404109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17410185 divided by 5.\nAnswer: -3482037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t + 21. Let l be c(4). Let r be ((-12)\/l + -5)*-3. Let s(o) be the second derivative of o**5\/20 - 5*o**4\/12 + o**3\/2 + o**2\/2 + o. Determine s(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Let c = v - -7. Calculate the remainder when 17 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 8:43 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515154224?\nAnswer: 2, 13, 2476703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 10:37 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.151? (a) -26 (b) -1\/2 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-2) - (-6)\/6*5. Solve -z + 3*h = -6, 5*z - 7 = z - m*h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j. Let d(p) = 2*p**2 + 9*p - 5. Let s be (-88)\/28 - (-1)\/7. Let y(c) = c**2 + 5*c - 3. Let z(w) = s*d(w) + 5*y(w). What is r(z(l))?\nAnswer: 2*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3367*x**3 - 5*x**2 - 3*x - 5. Let j be a(-1). What is the highest common factor of j and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, l: 1, a: 5, n: 1, j: 3, z: 3}. Give prob of picking 1 j, 1 n, and 1 l.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1210.419 - -2.581. Which is smaller: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a + 39572 - 22*a + 2*a**3 - 39572.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/58795?\nAnswer: -6\/58795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20*((135\/(-10))\/9)\/3. Let j be (-161 + -1)*(f + 14 + -6). Calculate the highest common factor of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28, 22, 14, 4?\n\"Answer: -l**2 - 3*l + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z - 3. Let v be a(-2). Let m = v - -2. Let g be 4\/(-22) - (-46)\/m. Solve 0 = -g*l + 5*k - 22, -2*k - 5 = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4881 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 31 - 18*s**2)*(-2 - s**2 + 4*s - 3*s + 0*s).\nAnswer: 18*s**4 - 18*s**3 + 36*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*p = -4*b + 882, -5*b = p - 1117. Suppose 72 = 5*u - b. Round u to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - d**2 + d + 1. Let h(q) = 4*q**3 - 15*q**2 + 19*q - 22. Let a(b) = -h(b) - 5*z(b). Is 8 a factor of a(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 7. Let d = 4.6 + r. Let v = -264.5 - -264. What is the smallest value in v, d, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278 - 53 = -45*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23652969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2 = 2*d, 0 = 4*x - 4*d + 8 + 8. What is the remainder when x + 4 - (1 - 54) is divided by 2\/((2\/19)\/1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 14102796384.\nAnswer: 14102796381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffsfssssfssfsfsfffs. Give prob of sequence sss.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 0.6. Let n = -0.5 - w. What is n rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27072 and 1238544.\nAnswer: 4954176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 210\/17191?\nAnswer: 210\/17191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p**3 - 27*p + 27*p + (-9*p + 4*p - 156*p)*(2*p + p**2 - 2*p) + 2*p**3 - 3*p**2 + 3*p**2)*(1 + 2 - 2).\nAnswer: -165*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9518 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-50)*600\/240.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -16971 and 127\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j = -15*j - 3*w, 0 = j + 2*w - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/5)*l)\/(l\/(l*l\/l**(-6))))**(-13) assuming l is positive.\nAnswer: l**(-481\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 64\/33 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2698 + -1127. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5564374 + 16?\nAnswer: -5564357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y. Let t(m) = -3*m. Let o(d) = 5*b(d) - t(d). Let i(c) be the first derivative of 0*c**2 - 88 + 0*c - 25\/3*c**3. Calculate o(i(s)).\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2\/3 + 106*a\/3 + 560\/3.\nAnswer: (a + 10)*(5*a + 56)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 350830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**(-1)\/g)\/g)\/g*g*g**(-17\/3) assuming g is positive.\nAnswer: g**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 + 0.45. Let o = i - -0.149935. What is o rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 23229*s**2 - 16*s + 23217*s**2 - 12.\nAnswer: -12*s**2 - 12*s - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18701 - -18697. Let x = 11 + -8. Which is the fourth smallest value? (a) 2 (b) x (c) v (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-31)*v)\/v*(v\/(v\/(v**8*v))*v)\/v assuming v is positive.\nAnswer: v**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -3 - (-36 + (-6)\/(-3)). Let g be 12\/y + 14\/(-24). Which is the third biggest value? (a) g (b) -0.4 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 3:39 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.525 to two dps.\nAnswer: -1.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -3 (c) 5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 31*m**2 - 65*m - 32. Let v be -1 + -1 + 5*3\/15 - -34. What is q(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + 243*k - 3033. Give r(-92).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (17 + 6 + -22)*-1. Let l = 4 - 3.89. Which is the third biggest value? (a) -3 (b) l (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 18*k**2 - 2*k + 1. Suppose 128 = 12*g - 8*g. What is the remainder when g is divided by p(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -s - 5, -5*q + 2*s + 10 = -6*q. Let a = 45.97 + -46. Do a and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -h + 5*r, 1258*r - 1259*r - 1 = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 11*d - 18698 = 14*d, -4*s + 3*d + 10682 = 0. Solve 2656 = 8*h + s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48490 or 48494?\nAnswer: 48490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 860970.\nAnswer: -6887760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from {t: 1, o: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -85, -124, -163, -202, -241?\n\"Answer: -39*o - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 6:22 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 + -1)\/(9\/(-3462))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329858*t + 329853*t = -22*w + 114, -5*t - 78 = -4*w for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 8*l**4\/3 + 36740*l**3\/3 + 201560*l**2\/3 - 409820*l - 220176 = 0.\nAnswer: -4587, -9, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {e: 4, j: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 12\/49, -1\/5, -80161?\nAnswer: -80161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345996 to the power of 1\/2, to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -390 (b) 0.3 (c) -39 (d) -1\/2 (e) -0.042 (f) -6 (g) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + 0.1. Let t be ((-6)\/8)\/(63\/42). What is the third smallest value in -1, t, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-30))\/o)\/(o\/(o*(o\/o**(-23\/2))\/o)))\/((o\/o**(-6))\/o*o*o)**18 assuming o is positive.\nAnswer: o**(-325\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times 19\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14551 = -2*x - 3*b - 1211, 26684 = 4*x + 4*b. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 104 = 2*c. Let u be (((-702)\/(-378))\/((-2)\/(-24)))\/((-4)\/(-14)). What is the highest common factor of u and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 10*j - 74 = 0. Suppose -5*k = j + 23. List the prime factors of (1970\/k)\/(-5) + (-26)\/(-156).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/5)*g*g*g**(-8)*g)\/((g\/(g*g\/g**(-2)))\/g)**(5\/11)*(g\/(g*g**(-4\/13))*g\/g**4*g)**11 assuming g is positive.\nAnswer: g**(-15442\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v + 10. Let o be t(0). Solve 0 = -5*d - o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**4 + k**2 - k - 1. Let q(d) = -2*d**2 + 2*d + 3. Let u(l) = 2*j(l) + q(l). Find the first derivative of u(x) wrt x.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(272)\/sqrt(8)*4)\/(-3*sqrt(4)\/sqrt(2)))**2.\nAnswer: 308\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 235, -4, -1 in decreasing order.\nAnswer: 235, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 246 and 642.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywayacywoyycoyoaeao. What is prob of sequence ay?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-3)\/(3\/(-4))) + (-432)\/(-24). Solve 7 = w - 4*f, x*f - 11*f = -3*w - 24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 2*z**2 - 526*z + 4589. Determine k(10).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgcmrarmra. Give prob of sequence gaa.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -28*r**2. Let z(t) = 78*t - 2 + 2 - 81*t. What is z(q(y))?\nAnswer: 84*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 5*x**2 - 8*x - 3. Let h be f(-6). Let w be (-9)\/18 - 90\/8*-2. Suppose -d = -41 - w. Calculate the greatest common factor of h and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**1)**31\/(q**(-2\/5))**(-38))\/(q**(3\/2)\/(q\/q**6)*(q**1)**(-25\/2)) assuming q is positive.\nAnswer: q**(264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -25. Let o = 15 - h. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11763905801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3212400 and 250.\nAnswer: 16062000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 202*a - 453*a + 252*a. Let p(l) = -4*l + 1. Let r be p(1). Let o = 6 - 7. Let t(v) = -2*v + 1. Give o*t(q) + r*x(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7))**7*(o**(-1\/4)\/o)**(1\/8))\/((o**(3\/5)*(o*o\/(o\/(o**(3\/8)*o)*o))\/o)\/(o\/(o\/o**1*o))**(2\/47)) assuming o is positive.\nAnswer: o**(-501\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 15 = 3*p + 3*s, 10 = -2*p + s. Let m(q) be the first derivative of 2*q**3 + q**2 - 6*q + 3. Is m(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - -9 - (-2 + 3). Let v be (1\/3)\/(45\/j). Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 12 - 2 = 5*c, -5*c - 18 = -2*h. Suppose -2 - 2 = 2*j. Let v = j + h. Solve -v*z + 4*k + 4 - 2 = 0, -5*z = -2*k + 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21416 (base 8) to base 3.\nAnswer: 110022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((0 - -3) + 6 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15671000 to the nearest one hundred thousand.\nAnswer: 15700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*u - 6*l + 3*l, -5*l = 2*u + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*y**2 + 83*y**2 - 253*y**2 + 84*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.4, -1, -3\/4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-271260)\/(-880))\/(567\/6) + (-3)\/7.\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(1\/(-4)*-8). Let w be (-4)\/(r\/(11\/(-2))). Let v be (-3 - -3) + 3\/(-7). Which is the smallest value? (a) -1\/2 (b) v (c) w (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - f + 2)*(0 - 1 + 0)*(18*f**3 - 8*f**3 + 0*f**3).\nAnswer: 10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3723265 and 280?\nAnswer: 29786120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 + 9*v - 3. Let y be q(4). Let j be -1 + ((-9)\/4)\/(-3). What is the closest to j in y, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3355734 or 3355477?\nAnswer: 3355734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2586434 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.237793 rounded to zero dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.3175445 - -19.68245742. Let g = -22.16 - -0.16. Let q = d + g. What is q rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1323*u + 376*u + 1144*u + 94*u.\nAnswer: 2937*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v - 1. Let u be o(-2). Let z(q) = q - 7. Let n be z(u). Solve n*i = 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 8*v + 10. Let j = 2 + -9. Let z be d(j). Determine h, given that 0*h**2 + h**5 - 6*h**2 - h**4 + h**5 + 7*h**4 - 4*h + 2*h**z = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**2\/3 - 1300*q\/3 - 432 = 0.\nAnswer: -324, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**3 - 935*g**2 - 45955*g - 207025 = 0.\nAnswer: -91, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*d**3*v**2 + 104*d**3 + 54*d*v**3 - 2*v**3 + 4*v wrt v.\nAnswer: -68*d**3 + 324*d*v - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d6 (base 16) to base 15.\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6966 and -2657.\nAnswer: -9623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7591 + -7591. What is the nearest to -0.4 in 5, g, -3, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from begdfgftdfggbt. What is prob of picking 3 f and 1 e?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/33)\/((13\/(455\/(-14)))\/30).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 126*p**2\/5 - 664*p\/5 - 1832\/5.\nAnswer: 2*(p + 2)*(63*p - 458)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m + 3. Let x be v(-3). Suppose x*o = 19*o + 16. What are the prime factors of 1\/(365\/91 + o)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.353 - -5.38426. What is z rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-72) - (-38)\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10856 and 76774.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 5\/61, -6, 3\/7?\nAnswer: 5\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 650157883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5852702?\nAnswer: 2, 73, 40087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5427650 is divided by 545?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c = 5*u + 77, 4*u = -20. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34482, -34481, -34480, -34479, -34478?\nAnswer: -34477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 - (-66)\/(-14). Calculate the common denominator of 104\/40*t\/2 and (-169)\/(-20) + 2\/8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - 3*d + 0*d)*(-395 + 945 - 364) in the form t*d + x and give t.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5208 - 5211. Let z(m) = 47*m**3 + 5*m**2 + 5*m. Let r(c) = 24*c**3 + 3*c**2 + 3*c. Determine q*z(l) + 5*r(l).\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20619, -41428, -62237, -83046, -103855?\n\"Answer: -20809*v + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - 6641\/(-145)) + (-31)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -14992*f - 134607. Give b(-9).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbkssnnsknasakanrran. Give prob of picking 1 a, 1 s, and 1 n.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-49) - 27129\/113792. Let a = i - 7\/127. Let t = a + 263\/896. Is t at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1315255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12863 - -12949 - (14 - -1).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 - w. Let t(a) = -2*a**3 + a. Let h be 2 - (0 + 2*-1). Let j be ((-16)\/6)\/h*-9. Calculate j*d(v) + 5*t(v).\nAnswer: 2*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8 + 611.3696.\nAnswer: 609.5696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34503754 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6.4 * 1.98\nAnswer: 12.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10933119 + 10933119 - 1366*u**2.\nAnswer: -1366*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, q: 7}. What is prob of sequence zz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*k + k + 45, 0 = 5*k - 3*t - 75. Calculate the highest common factor of k and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r + 6 = 0. Let k(q) be the second derivative of -1\/3*q**3 + 1\/4*q**4 - q**2 + 0 - 3*q. What is k(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -59, -50603, -5 in ascending order.\nAnswer: -50603, -59, -5, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18c9 (base 14) in base 11?\nAnswer: -3411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 529909313 rounded to the nearest 100000?\nAnswer: 529900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/342054 and 155\/77238.\nAnswer: 2394378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 557786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 150, 176, 216, 276, 362, 480?\n\"Answer: w**3 + w**2 + 16*w + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -1, 4, 4.6, 3\/2?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -17*m**3 - 2*m**2 + m. Let y be i(1). Find the common denominator of (-273)\/y*4\/(-21) and ((-3)\/9)\/((-14)\/(-36)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4974 (b) -3\/8 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (225\/(-60))\/((-3)\/8). Let j = h - 6. What is the smallest common multiple of 2 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1101542 and 984218?\nAnswer: 166332842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1519272 and 276001080.\nAnswer: 828003240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 6*c - 7. Calculate the smallest common multiple of 4 and f(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -61*n**5\/60 - 5*n**4\/8 + 17*n**3\/6 - 30*n. Let w(k) be the second derivative of s(k). What is the derivative of w(p) wrt p?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146397761?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 25*v**2 - 3*v - 9. Let c(m) = 13*m**2 - 2*m - 5. Let b = 23915 - 23919. Determine b*l(r) + 7*c(r).\nAnswer: -9*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -175 and -2?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 5 (c) -7\/72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94506423071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-44))\/((-711)\/316*(-40)\/864).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**2\/2 - 2024095*p + 4048195\/2 = 0. Calculate p.\nAnswer: -809639, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1106*t**2 + 35*t + 231. Let r(l) = -65*l**2 - 2*l - 14. What is -35*r(k) - 2*z(k)?\nAnswer: 63*k**2 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 - 880*h**3 - 4476*h**2 - 5400*h.\nAnswer: 4*h*(h - 225)*(h + 2)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10630 - -20623. Calculate the remainder when s is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 divided by -8.\nAnswer: 59\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 12. Let z = -257 + 174. Let y = -80 - z. Let n be g(y). Solve -m + n = 3*p, 2*p = -3*m + p + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2802857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.65 - 1.65. Let t be (-30)\/27 - 2\/(-2). Put i, t, -0.4 in decreasing order.\nAnswer: t, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11270 and 14950?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 413792778?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -176357, -352848, -529461, -706190, -883029, -1059972, -1237013, -1414146?\n\"Answer: x**3 - 67*x**2 - 176297*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2844386?\nAnswer: 2, 1422193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2\/3 - 195054352*s\/3 + 2377887514633744\/3.\nAnswer: 4*(s - 24381794)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257 = 23*l - 533. Solve 0 = -2*q + 5*m - 31, q + 1 = 2*m - l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1920 (b) -4 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l + 18*l - 3*z - 17 = 0, -2*l + 4*z = -6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, o: 1, v: 8}. What is prob of sequence vovv?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (0 - 5) - (8 - (20 + -40)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 8*i + 8*i)*(-5 + 1 + 2)*(7*i**3 - 2*i**3 + 2*i**3).\nAnswer: -56*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 5*v**2 + 2. Let s be h(5). Suppose -o + s*o = 85. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 164*d**2 + 108*d + 550. Is 30 a factor of u(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**3\/3 + q**2 + 77*q + 2438. What is s(0)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*x + 7*x - 375. Solve 4*c - 11 + 13 = 2*f, 0 = x*c - 2*f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 1:33 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 3*o**7\/14 - o**3 - o - 7. Let q(z) be the first derivative of a(z). Find the second derivative of q(h) wrt h.\nAnswer: 180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2) + 0 + 1. Let r = 2 - 8. Let g be -1 - (0 - r\/(-8)). Put h, g, -3 in increasing order.\nAnswer: -3, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -8*n**2 + 58*n - 3. Let m be s(5). Suppose -l + 585 = 5*q, q - 24 - m = l. Calculate the remainder when q is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rssrssrs. What is prob of picking 2 r?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/1353 and -155\/858.\nAnswer: 35178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 57 - 111)*(2*c**4 + 0*c**4 + 0*c**4) + (-2*c**2 + 0*c**2 - 3*c**2)*(37 - 13*c**2 - 37).\nAnswer: -187*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 12:56 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11801257 and 2054.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -287 or -288?\nAnswer: -288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d**2 - 18*d**2 + 243 - 243 + 15*d**2.\nAnswer: -23*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38388 = -9*t + 25989. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l + 9. Let s be (-2)\/8 - 114\/24. Let g(j) = j - 1. Let u(p) = s*g(p) - r(p). What is the first derivative of u(y) wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (11 + -35 - -32) - (1 + -2 + 15)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {v: 4, e: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9)*w*w**1*w*w**4*w\/((w\/((w**(-15)*w)\/w))\/w) assuming w is positive.\nAnswer: w**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 7:54 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 10, 5, -1, 93 in decreasing order.\nAnswer: 93, 10, 5, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 115*i**2 + 3363*i - 3249.\nAnswer: (i - 57)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**5 + 2*c**3 + 99*c**2 wrt c.\nAnswer: 240*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/10)*g*g**(-5))**(31\/3))**(-24) assuming g is positive.\nAnswer: g**(3596\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 52024 and 52024 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/5)\/(y\/(y**(-28)\/y*y*y)*y*y*y*y) assuming y is positive.\nAnswer: y**(-162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 174061.1ml in litres?\nAnswer: 174.0611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 - 20*f - 82. Let w be l(13). Let q(z) be the second derivative of -2*z**2 + 0 + 1\/6*z**3 - z. Let m(h) = -h + 1. Give w*m(a) - q(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m - 4*m - 2*m + 240 - 227 in the form r + u*m and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.107843 rounded to three decimal places?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 9812775?\nAnswer: 88314975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*(3\/((-15)\/31))\/((-608)\/2280)\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40, -128, -274, -478, -740, -1060, -1438?\n\"Answer: -29*v**2 - v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -149, 0.9, -2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1738*b**2 + 13932*b + 224.\nAnswer: 2*(b + 8)*(869*b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.064 + 0.164. Let p(r) = -2*r**2 + 76*r + 76. Let o be p(39). What is the closest to t in -1\/7, o, 0.6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475 times 0.76?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -7*w - 20. Let h be w - -20 - (-1)\/(-1). Let a = 60 - h. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3*s = -22, 24 = -4*s - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 39*f + 0*f**4 - 9\/20*f**5 - 1\/6*f**3 + 0 + 1\/2*f**2. Determine p(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.7870274 rounded to 2 dps?\nAnswer: -97.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11, -72, -177, -326, -519, -756?\n\"Answer: -22*p**2 + 5*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 259621 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**3 - 2*j**3 + 2*j**3 + (-j + 4 - 4)*(-3*j**2 + 2*j**2 + 2*j**2) - 2*j**3 - 7*j**3 - 2*j**3 + (0 - 2*j + 0)*(-j**2 - 4*j**2 + 6*j**2).\nAnswer: -18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3492328495?\nAnswer: 5, 698465699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 divided by 772468.\nAnswer: -43\/386234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2 = 2*k, 2*b + 5*k = -3*b + 25 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5775.10549 + 5775. Round y to 3 decimal places.\nAnswer: -0.105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -6*h**3 - 33*h**2 - 36*h + 27 = 0.\nAnswer: -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = 8*f - 40*f + 11*f. Let x(y) be the second derivative of -4\/3*y**3 + 0*y**2 + 1\/3*y**6 - 4*y + 13\/10*y**5 + f + 2\/3*y**4. Factor x(t).\nAnswer: 2*t*(t + 1)*(t + 2)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 18*t + 69. Give p(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*q - 42*q + 87*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + -1 + (-954 - -967).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -10. Suppose 0*a = -q*a + 795129. Suppose -134957 = l + a. Round l to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 624 by -156.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*((-280)\/(-288))\/(-7)*-16.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 8. Let a be r(-6). Let x(d) = d**2 + d - 16. Let b be x(4). Put a, -4, b in decreasing order.\nAnswer: b, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 201*v**2 - 6*v - 466. Let l(p) = 619*p**2 - 17*p - 1397. Let d(m) = 17*a(m) - 6*l(m). Differentiate d(b) wrt b.\nAnswer: -594*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/6 and -83\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bikb when four letters picked without replacement from {k: 2, i: 5, b: 6}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3836321 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 484452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 80483249839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 107*2\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -k, 0*o + 4 = 3*o + 2*k - 4 - 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 30737*m**3 - 2*m**2 - 10*m**2 - 3*m**4 - 12*m**2 + 2 - 30735*m**3 - m in the form g*m**2 + w + u*m**4 + x*m + i*m**3 and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10\/11)*p**(-4\/11)\/p*p)**(1\/2) assuming p is positive.\nAnswer: p**(-7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2694533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q. Let a(k) = 2*k**2 - 5*k - 19. Let v(x) = -a(x) - 5*r(x). Let n be v(6). Let f = 122 + n. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/8*(-2)\/6. Let h = 13 + -8. Suppose -h*v = -11 + 6. Which is the third biggest value? (a) t (b) -13 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 659 * 0.085.\nAnswer: 56.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (237\/(-15))\/((-13*(-20)\/(-520))\/(5\/2))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 158.9 + -159. What is the nearest to g in 1\/11, 2, -28\/9?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**3 - 7*u**3 - 5*u**3)*(-2*u + 27*u + 17*u - 191*u - 84*u - 71*u) in the form f + p*u**4 + z*u + q*u**3 + t*u**2 and give p.\nAnswer: 3648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-4)\/2))\/((119\/(-35))\/(-17)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-336)\/(-54))\/28*(-9)\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 985670057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 58*n - 467. Give i(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, x: 6, i: 1, w: 1, f: 3, r: 2}. What is prob of picking 1 f, 1 x, and 1 w?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 351*b + 2271. Calculate s(-14).\nAnswer: -2447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/3, 4\/3, 5 in ascending order.\nAnswer: -3, 1\/3, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.8 and -240.3?\nAnswer: 241.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 395, 400, 407, 416, 427, 440, 455?\n\"Answer: d**2 + 2*d + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 1974864.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 - 1068427?\nAnswer: -1068410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*p = -26, 0 = -3*o - 3*p + 7*p + 27. Suppose 0*g - o*g - 2*z + 5 = 0, -3*g - 6 = 3*z. Calculate the greatest common factor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e6 (base 16) in base 8?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1102 - -226520?\nAnswer: 230622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 + 4*k**3 - 4*k**3 + (44565*k**2 + 136*k**3 - 44565*k**2)*(-2*k - 1 + 1).\nAnswer: -273*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2 + 7*s - 1. Let y be q(-4). What is the greatest common factor of 14 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 253 - 158*p + 121*p - 249 - 149*p as f + g*p and give g.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fhvvvfhvfhffvvhvhhhh. Give prob of sequence hvvv.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, -3\/4, 0.388, -0.1, -22.\nAnswer: -22, -11, -3\/4, -0.1, 0.388, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -10. Let p = 0 + w. Which is the second smallest value? (a) p (b) -0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -231*h - 5080. Calculate k(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 g when three letters picked without replacement from {i: 2, q: 6, g: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 1.1. Let o be 750\/(-270) + 1 + 2. What is the nearest to q in 0.1, -1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -629 + 629.0951. What is k rounded to three decimal places?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 + 27*x - 19. Give t(-14).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7897*m**3 - 7523*m**3 + m**2 + 33310*m**3 - 8362*m**3 - 7954*m**3.\nAnswer: 1574*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 767067 divided by 3.\nAnswer: 255689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 1\/9*a**3 + 3 + 0*a**2 + 0*a. Find l such that p(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -12. Suppose -6*x + o = 7. Which is the smallest value? (a) x (b) 2\/9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + 1.2. Let u = p + -0.9. What is the second smallest value in 4, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 65\/24*d**4 - 38*d**2 + 0*d + 23\/3*d**3 + 0. What is the derivative of h(t) wrt t?\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38296 or 38450?\nAnswer: 38296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 628*b**2*s**3 + 99*b**2*s**2 + 8*b**2*s + 2*b*s**3 + 250*b*s + 187*s**3 - 2*s wrt s.\nAnswer: 3768*b**2 + 12*b + 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -560678, -1121322, -1681962, -2242598, -2803230, -3363858, -3924482?\n\"Answer: 2*b**2 - 560650*b - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 35*s + 132 + 2*s**2 - 4*s**2 - 11*s**2.\nAnswer: -11*s**2 - 35*s + 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 43.\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/5*15\/(-3). Calculate the remainder when 31 is divided by 0 - q - (11 + -19).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f = -78. Suppose -2*w + f = 8. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -196*x + 306 wrt x.\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1355907 is divided by 677947.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 808706, 808701, 808694, 808685, 808674?\n\"Answer: -o**2 - 2*o + 808709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4307.135um?\nAnswer: 0.004307135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 78.7196 micrometers?\nAnswer: 0.00787196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 + 3 - 41401*w**3 + w**2 - 2.\nAnswer: -41401*w**3 + w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-62 + -2 + 1). Suppose 0*g = 2*g - 6. Suppose g*z - 330 = -m. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 106? (a) 0 (b) -13\/4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 15*c + 21. Let v be f(15). Calculate the common denominator of 121\/12 and v\/(-162)*(55 + -4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200112 - 11?\nAnswer: -200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1053)*2 - sqrt(1053))*-1 + -3)**2.\nAnswer: 18*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17234, 17193, 17152, 17111, 17070, 17029?\n\"Answer: -41*c + 17275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.8 - -0.2. Let i = 6.7 - v. Let h = 0.38 - -0.02. Sort h, 0.2, i.\nAnswer: i, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -22954793?\nAnswer: 22954793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52*p**4 + 9*p**3 - 5*p**2 - 2*p - 11723580 wrt p.\nAnswer: -208*p**3 + 27*p**2 - 10*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8172)\/(-3 + 0) + (-2 - (21 - 19)) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1397 and 14817979.\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 1335 = 2*w. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -11. Let n = y - 8. Suppose -4*i + 127 = -p, -68 = -2*i - 21*p + 17*p. What is the greatest common divisor of n and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, j: 2}. Give prob of sequence wwjw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + ((-3 + (sqrt(75) - (sqrt(75) - (sqrt(75) + (-2*sqrt(75) - sqrt(75)) - sqrt(75)))) + (sqrt(75) - (sqrt(75) + 1)) + -2)*6)**2 + 3.\nAnswer: 6480*sqrt(3) + 25592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14220*b + 14214*b = -34 - 38 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4357 + 4282. Is p greater than -371\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 8*f**2 - 4*f + 26. Let l be w(-7). Suppose l*j - 85 = -n, -2*j - 5*n + 6 = -5. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) - (-51)\/207. Let m be (73\/69 - 1)*(32 + -19). Let c = m + j. Put 0.1, 4, c in ascending order.\nAnswer: 0.1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 5*d = -8. Suppose 0 = d*h - 0 - 12. What is the remainder when 23 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 2\/55 (b) 7 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/((-3)\/90). Suppose -13*t + w = 2. Put t, 4, -4, 3 in descending order.\nAnswer: 4, 3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -56*s + 399. Give n(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(3) - 2*sqrt(48) - sqrt(3)))**2.\nAnswer: 64*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*d - 16619 + 17067 = 30*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 252449 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*o = -296*o - 54*o + 5093 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-5 + 44\/8) + (-47344)\/(-4752)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 201. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*g**2 + 302685*g - 151340.\nAnswer: -5*(g - 30268)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1547837283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 758, 1505, 2258, 3017, 3782, 4553, 5330?\nAnswer: 6113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**6\/360 + b**5\/24 - b**3\/3 + 7. Let z(v) be the third derivative of n(v). What is the second derivative of z(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -15. Suppose 2 = -2*r - 2*l - 2*l, b*l + 13 = r. Suppose -2*x = r*i - 116, 4*i = -i + x + 176. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0. Let g(y) = -2*y - 2*y - s - 5*y - 2*y. Determine g(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 - 2*d**3 - 3*d**3)*(4 + 0 - 5).\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 17 + 4*a + 2\/3*a**3 + 2*a**2. Differentiate m(j) wrt j.\nAnswer: 4*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 16*n**4\/9 - 222*n**3 + 61238*n**2\/9 + 7910*n + 882 = 0?\nAnswer: -1, -1\/8, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.14 + 0.2. Let q = -0.14 - g. Which is the biggest value? (a) -2\/5 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.9 minus 27147578047?\nAnswer: -27147577885.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1023527 + 0.4\nAnswer: 1023527.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 2) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 3*k + 10*k)*(1 + 0 + 3).\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -8*g + 4*g - 4, 5 = -4*x - 5*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01, -2\/3, -2, 6?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -6, 3, 351, 1 in decreasing order.\nAnswer: 351, 3, 1, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11011310 + -11?\nAnswer: 11011233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53705125 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -464*l**3 + 525*l + 1.\nAnswer: -2784*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 2*l - 6 + 14, -2*l + 17 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**5 + 1380*o**4 - 5720*o**3 - 367280*o**2 + 22944*o + 1447040 = 0. Calculate o.\nAnswer: -14, -2, 2, 19, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 2. Let s = -83 - -481. Let l = s - 401. Let r(n) = n**3 - 5. Give l*r(q) + 5*y(q).\nAnswer: 2*q**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -166.\nAnswer: -7\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 13*y**8\/1344 - 41*y**7\/840 + 3*y**6\/32 - 19*y**5\/240 + y**4\/48 - 7*y**2 + 1. Let i(r) = 0. Calculate r.\nAnswer: 0, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2*u + 21 = 5*v, 336*v + 5*u = 339*v - 35 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*y = -49*y. Determine n, given that y + 3\/2*n**2 + 21\/4*n**3 + 0*n + 6*n**4 + 9\/4*n**5 = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 0 - 723\/18. Let j = f + 230\/3. Calculate the common denominator of j and -25\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 - -80. Let l = y + -7. Suppose 4*o = o - l. Which is bigger: 6 or o?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-363)*(-3762)\/342.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/8 - (-6)\/16. Suppose -5*h - 2*r = -13, r + 2 + q = h. Solve h*o - 11 = 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**2 - 10*z**2 + z**2 + 45*z**3.\nAnswer: 45*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7443 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565662.\nAnswer: 2, 3, 23, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*((0 + 3 + 2)*(-1 - 1 + 1) + 1 + 2 + 3)*(-2*j + 5*j - 2*j)*(-2 - 4 + 3).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -2*c**7\/21 + 34*c**6\/9 - 757*c**5\/15 + 641*c**4\/3 + 3872*c**3\/9 - 1664*c**2\/3 - 81*c - 1. Suppose o(j) = 0. What is j?\nAnswer: -1, 1\/3, 8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from kpukuieeiuekeff?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3272012 (base 8) to base 9\nAnswer: 1583377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63.5 * -2165.5.\nAnswer: -137509.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from wiwv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -311365, -311364, -311363, -311362, -311361?\n\"Answer: u - 311366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8410486.\nAnswer: 2, 7, 31, 19379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 4. Suppose 5*q - 37 = h*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.08 (c) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39900\/700 + -8 + -160?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3374 (base 9) to base 5.\nAnswer: -34442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*q - 3, -i - 24 = -2*q - 14. What is the smallest common multiple of 3123 and q?\nAnswer: 3123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 1)*(1 - 2*b - 1) + 22*b - 39*b - 14*b + ((1 - 4 - 4)*(2*b - 5 + 5) + 2 - 2 + b)*(-1 - 2 - 15) to the form s + w*b and give w.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*u, c + 23 = 4*c - u. Let s = -744 - -1127. Suppose -a - 5*i = -16, -387*a = -s*a + 3*i - 30. Calculate the greatest common factor of a and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 380128276 to the nearest integer?\nAnswer: 19497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**3 + 158768*i**2 + 317564*i - 476328 = 0. Calculate i.\nAnswer: -3, 1, 39694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1522, -1459, -1398, -1339, -1282, -1227, -1174?\nAnswer: -1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13 + -3 + -6 - 0. Solve n*x + m + 12 = 30, 3*x = 2*m + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v**2 - 1. Let d(s) = -18*s**2 - 2. Give -5*c(z) + 2*d(z).\nAnswer: 9*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4930397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.897 - 22.897. What is the nearest to -0.2 in -0.7, i, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1104517 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/13184 and -87\/200960.\nAnswer: 20698880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, 0.4, 0.1, 2\/13.\nAnswer: 1\/12, 0.1, 2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7177604\/11 - -653033. Let u = 523 - k. Let p = 1 + -3. Is p less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-9) + (-10)\/(-3). Suppose 2*h = x*n + 7*h + 35, 4*h = -n - 21. Put -1, 7, n in decreasing order.\nAnswer: 7, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3468984 and 352.\nAnswer: 152635296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1404) - sqrt(39))\/sqrt(3))**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 46?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - u - 65 = 5*b, 3*u = 2*b + 40. Suppose 0*o - 4*o = -3*k + u, 3*o + 2*k - 1 = 0. Let w(g) = -901*g**3 - g**2 - 2*g - 1. Is w(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**5\/5 - g**3\/3 + g**2\/2 - 8*g. Is b(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-3)*(-3)\/(360\/96)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 5. Let p = 9 + f. Let c be 1920*(-2 + -21 - p). Round c to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -197, -283, -369, -455?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15694 = -3463*p + 3456*p. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/5520 and -71\/2233185.\nAnswer: 35730960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 12. Let r be w(11). Let m be 29 - 3\/(2 + r). Let l = 2 + 2. What is the highest common factor of l and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2121*h + 2340 = 2061*h for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 8:38 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -21*h**2 + 20. Let o be f(-4). Let p = 321 + o. Let w(q) = q**2 - 4*q - 12. Calculate w(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/2))**(13\/2)\/(c**4*c\/(c\/c**0*c)))**25)**(-37) assuming c is positive.\nAnswer: c**(23125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*g + 21, -5*y = 4*g + 11 + 52. Find the common denominator of (-94)\/15 + 12 + y and (-3379)\/651 - -1*(4 + -2).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + g = -126, 20 = -5*g - 0*g. Suppose 2*l + 55 = w. Suppose -2*y + 6*y = 8. Solve -l*u + 4 = -y*b, 3*u - 7*u + 3*b = -7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5292498.\nAnswer: 2, 3, 882083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*d - 1127 = 610 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2885867982?\nAnswer: 2, 3, 181, 251, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-14))\/((-6)\/(-28))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 811 and 49373680?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 16 + 9, c - 3*s + 123 = 0. Let t be 25\/9 - 24\/c. Solve -t*d + 20 = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/(j\/(j*j**8*j)))\/j))\/((j*j*j\/(j*j\/j**0))\/j) assuming j is positive.\nAnswer: j**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 8.9. Let u be (-2)\/4 - 35\/10. Let d = 0.5 - 0.3. Sort d, u, r in decreasing order.\nAnswer: d, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3205*a**3 + 2*a - 2*a - 3199*a**3 - 334 + 2*a**2 - 3*a**2 in the form g*a**3 + k*a + o + n*a**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15280.328 and 13.82?\nAnswer: 15266.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -4. Let b = -161 - -161.56. Let n = b - 0.49. What is the second biggest value in -5, d, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25.5 - -26. Let s = -1 + 6. What is the second smallest value in s, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 36 = 13*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22190654 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -3, -48\/11, 1, 0.5, 0.8 in decreasing order.\nAnswer: 1, 0.8, 0.5, -3\/2, -3, -48\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80804243 + 80808040.3999. Let m = -3797 + b. Let p = m - 0.4. Round p to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 u when four letters picked without replacement from {m: 3, u: 11}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 5*t + 18, t - 3 = -2*b - 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4879*g - 4857*g = -3*y - 128, -3*g = y + 21 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-8) + 401\/4 is divided by (-16)\/(-44) - 269760\/(-6182).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/40 - 10\/(-25). Let b = 54 + -55. What is the closest to b in h, 0.4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*x**2 + 16*x**2 - 5 - 9*x**3 + 2 - 1 + 5 in the form l*x + f + z*x**2 + b*x**3 and give z.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 66, 98, 162, 258, 386, 546?\n\"Answer: 16*d**2 - 16*d + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 902 + 254. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-325128)\/42780*10\/38.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*y + 33, 4*y - 2 = 4*t + 2. Let b = -526 - -529. What is the second derivative of -10*q**3 + 0*q**b - y*q + 0*q**3 wrt q?\nAnswer: -60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/13, 10675, 8.09?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*p = -91*p - 25228. Suppose 56*a - 3*a = p. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -24) + (16 - 16) + -90 + 99.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + ((-1)\/12)\/(6\/(-219)). Let y(n) be the third derivative of -w*n**4 - 1\/60*n**5 - 1\/6*n**3 + n**2 + 0 + 0*n. Determine y(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 + 90*t + 41. Let i be n(29). Does i = 123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7*f = -5. Let n be -1 - -1 - 0\/f. Let j(m) = -m**2 + 3. What is j(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-84))\/(26\/39).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 636768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*z - 13, 0*c = -2*c - 3*z + 14. Calculate the smallest common multiple of c\/(4\/(-20)) + 17 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 4*i + 7, -897*n + 894*n = -26*i + 23 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 27*p**4\/16 + 39*p**3\/4 - 87*p**2\/8 + 15*p\/4 - 171. Let w(l) = 0. What is l?\nAnswer: -5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + -2*sqrt(1280) + -5 - ((sqrt(1280) + 0)*-6 + sqrt(1280))*-6)**2*-1.\nAnswer: -1310728 - 2048*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33744.07g in milligrams?\nAnswer: 33744070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 13, a: 1, x: 2, f: 3}. What is prob of picking 2 m and 1 f?\nAnswer: 78\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -1472, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**6\/120 + w**5\/12 - w**3\/3 - w**2. Let z be b(5). Let i = 5 + z. Solve -5*s + 5 = 0, 2*s + 10 = 3*h + i*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*d + 37588, 3*d + 186*y - 184*y - 28191 = 0. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 52*n**2 - 13*n + 613. Let a be z(52). Sort 3, a, -19 in ascending order.\nAnswer: a, -19, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 658*k**3 - 7*k**2 + 3991*k - 14. Let r(m) = 657*m**3 - 8*m**2 + 3996*m - 16. Let v(j) = 7*r(j) - 8*z(j). Find the second derivative of v(p) wrt p.\nAnswer: -3990*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3387 = 5*f + n, -4*n + 2281 = 4*f - 435. Suppose 560 = 4*p - 3*c, 0 = 5*p - 0*p + 2*c - f. List the prime factors of p.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -1020?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*d - 11 + 267 = 0. Calculate the lowest common multiple of d and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -16*c**3 - 95*c**2 - 60*c - 11. Let u(a) = 3*a**3 + 18*a**2 + 12*a + 2. Let l(q) = 10*o(q) + 55*u(q). Suppose l(d) = 0. What is d?\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12639459?\nAnswer: 3, 7, 37, 16267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 - (-2 + 4 + -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 4:18 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, h: 4, i: 1, p: 11}. What is prob of picking 1 i, 1 h, and 2 p?\nAnswer: 11\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11711 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i - 2*i)*(2*i + 2*i - 2*i)*(3*i + i - 3*i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*h - 1, 3 = 5*d - 4*h. Let p be 18\/(-3 - 5\/d). Let k(n) be the second derivative of -n**3\/3 + 3*n**2 + 14*n. Determine k(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 47. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -9\/7 (c) 2\/3 (d) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**3 - 2*v**2 + 1. Let y be (-6)\/8 - (-5)\/(-20). Let j be b(y). Let q be (500\/(-3))\/(j\/90). Round q to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -14. Let g(o) = 14*o. Let b(j) = 5*j. Let a(f) = d*b(f) + 3*g(f). Let p(u) = -u**2. What is p(a(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1608*t**2 + 2 - t + 1608*t**2 + 5*t**4 + 2*t**3 in the form c*t + y*t**4 + v + x*t**3 + s*t**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-4))\/l**(-6))**(-42) assuming l is positive.\nAnswer: l**(-462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 less than -0.883477?\nAnswer: 0.416523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -15 + 13*k + 704*k**2 + 2 - 706*k**2. Let r(i) be the second derivative of -i**4\/12 + i**3 - 3*i**2 + i. Determine -9*r(x) + 4*z(x).\nAnswer: x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**4 - 3*z - 10*z + 0*z - 2 - 14*z - 2*z**2 as c*z**2 + p*z**4 + j + r*z**3 + l*z and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -2 - (1 - -1 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 101006, 108073, 119844, 136313, 157474, 183321?\n\"Answer: -g**3 + 2358*g**2 + 98649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -4\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -283, -12, -0.06 in descending order.\nAnswer: -0.06, -12, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2059 + 577 = 0. Let v = -136 + j. Is v a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 8*h**7\/21 + 2*h**6\/15 - 4*h**5\/5 - h**4\/3 - 8*h. Solve y(v) = 0 for v.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 + 186*a**2 - 278*a + 429. Let t be n(91). What is the highest common factor of t and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 2\/21, -4\/9, 2\/3, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4 + 8*p + p**2 - 8*p + 9*p. Is h(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 2\/11, -2\/1993, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 786 + -785.92. What is the closest to -5 in y, -1\/5, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/60*5\/(10\/12)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/7 and (4 + -1)\/(132\/30 - 4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x + 9. Let g(u) = 16*u + 35 - 11*u + 0*u - 18*u. Determine 9*a(s) - 2*g(s).\nAnswer: -s + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 43.69691+5125\nAnswer: 5168.69691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*h + 2 = -0, -3*h = -3*g. Let j = -0.09 - 3.91. Let x = -0.06 - 0.14. Sort j, g, x.\nAnswer: j, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**2. Let d(v) = -70*v**2. Determine d(g(w)).\nAnswer: -1120*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-34 - 14 - -23).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8085063197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 + 3*d + 1. Let h be y(-2). Let m(w) = 0 + w**2 + 6 + h*w - 1. List the prime factors of m(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkxtvow. What is prob of picking 1 o and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (1 - 3)\/((-5)\/(-10)). List the prime factors of (-1 + x - (-10)\/5)*987.\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1. Let x(z) = 33*z + 7. Let l(a) = -x(a) - 6*y(a). Is 32 a factor of l(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.44 + -5.4. What is the fourth biggest value in y, -0.3, 5\/4, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 110*t. Let f(b) = 233109*b**2. Give y(f(a)).\nAnswer: 25641990*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*k**5 + 5*k**4*m**3 + 14295*k**3 - 293*k**2*m**3 - 2749*k**2*m**2 + m wrt k?\nAnswer: 660*k**2 + 120*k*m**3 + 85770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 11:59 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.4608491 milligrams?\nAnswer: 460849.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 351555 and 138.\nAnswer: 703110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - k + 1. Let r be v(0). Let c(s) = 13*s**2 - 6*s - 4. Let n(j) = 16*j**2 - 7*j - 5. Let d(l) = -5*c(l) + 4*n(l). Calculate d(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19031*z**4 + 45527*z**2.\nAnswer: 456744*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y**3 + y**2 + 34*y + 2. Let p(q) = -10*q**3 + q**2 + 51*q + 5. Determine 7*n(o) - 5*p(o).\nAnswer: o**3 + 2*o**2 - 17*o - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-5*(-14)\/(-35)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30104906 and 24986?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*u**4 - 18*u**3 + 2177*u.\nAnswer: 84*u**2 - 108*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 42*g**2 + 4*g - 2. Suppose -233*x + 228*x + 3*c = 47, -13 = x - c. Let q(t) = -41*t**2 - 3*t + 1. Determine x*q(o) - 3*k(o).\nAnswer: 38*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18214\/5 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 2*y + 24. Let a be u(3). Suppose -a*g + 136 - 37 = 0. Let q(p) = 14*p + 26. List the prime factors of q(g).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 52 = -6*m. Let q = m + 51. Are q and -1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -190825 and -0.3.\nAnswer: -190825.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -3*p**7\/280 - 3*p**4\/8 + 10*p**3\/3 - 8. Let q(d) be the third derivative of m(d). Differentiate q(h) wrt h.\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfnueny. What is prob of picking 1 e and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4 = 2*o, k = 5*o + 8. Let m be 2 - (1 + 0 - k). Suppose t = w + 2, -m*t = -w - w - 14. Calculate the remainder when 7 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m - 28*m = 124. Calculate the remainder when 40 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8653 is divided by 1236.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -177022981*a**4 - 17145151*a**2 - a + 2?\nAnswer: -4248551544*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 210523102?\nAnswer: -1\/105261551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.094 in -1\/6, 3\/16, 1\/2, 18?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*(-4 + (sqrt(99) - 2*(sqrt(99) + 1)) + -4)*-5)**2.\nAnswer: 24000*sqrt(11) + 79600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huhhbhhhfhhbbhbbbbb. Give prob of sequence bfhh.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, 66, 221, 522, 1017, 1754?\n\"Answer: 8*o**3 + o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**3\/6 + 3*v**2 - 14*v. Let x(n) = -2*n + 1. Let g be x(-1). Suppose 2*s + 25 = -g*s. What is c(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/3*(-6)\/10. Suppose -24 = -d - o*d. What is the lowest common multiple of d\/(1*(2 - 1)) and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200*(-81 + 93)*(-25)\/32*-10.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-14)*(3399\/165 + -21)?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -q - 8*a + 9, -23 = -3*q - 4*a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u + 8. Let a(w) = -19*w + 23. What is -4*a(o) + 11*l(o)?\nAnswer: 10*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -6*a**4 + 8*a**2 + 24. What is the second derivative of y(c) wrt c?\nAnswer: -144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 111\/(-54))\/(4\/(-7544)). Let l = -105 - m. Sort l, 1\/5, -64 in decreasing order.\nAnswer: 1\/5, l, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 205 * 4.\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4*2)\/(-1). What is the units digit of (k\/(-3))\/((-3)\/72)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + l + 2 + (-l + 5*l - 2*l)*(4 - 4 + 2))*(-1 + 0 + 3)*(-3 + 1 + 1).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/7)*q)**(-47))**(1\/46)*(q**5*q*q**6*q*q)**(1\/3) assuming q is positive.\nAnswer: q**(3239\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5322*h - 5279. Give u(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -2*f**2 - 1\/6*f**4 + 0*f**3 + 0 + 0*f. Let z(b) = -b. Calculate y(z(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 0 - 4 + 109*m + 6. List the prime factors of b(1).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 2 = 4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 790132, 789908, 789684, 789460?\n\"Answer: -224*g + 790356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)\/sqrt(6)*-6.\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 249, 3, 2, 4, -5 in decreasing order.\nAnswer: 249, 4, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -10*y**3\/9 - y**2 + 4*y\/3 + 144. Factor v(x).\nAnswer: -2*(x + 1)*(5*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 136, 278, 468, 700, 968, 1266?\nAnswer: 1588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*b**2*j**3 + 9667277*b**2*j**2 - 2*b*j**3 + 15*b*j - 167001*j**3 + 3*j**2 wrt b.\nAnswer: 20*j**3 + 19334554*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3001030 or 3001029?\nAnswer: 3001030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 1085.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 6*q - 2 = 0. What is the units digit of 4\/q*(-11)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 272720390 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 0*f - 6. Suppose 3*y + 5*a - 70 = 4*a, -y + a = -26. Calculate the highest common factor of y and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2 - 128*q - 552. Determine t(-38).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**7\/70 - r**6\/120 - r**4\/24 - r**3\/2 - 26*r. Let t(v) be the second derivative of w(v). Is t(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2))\/((-8)\/16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 8:51 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -57. Let r(i) = -2*i - 50. Let n be r(f). Sort n, -3, -32 in decreasing order.\nAnswer: n, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40887)\/(-539) + -75)\/((12\/5)\/2)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 2:59 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a + 9 = 0. Let x(o) = o. Let t be x(a). Suppose t*j + 5*h = 12 + 5, 0 = -2*j - 2*h + 10. Solve -j*y = 5*z + 29, y + 0*z - 4 = z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000845 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112 by 39.\nAnswer: 112\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 203*t + 816. Let n be l(-4). Solve 2*x - 18 = -n*o, 4*o - 4*x - 24 = -0*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61086080.18 to the nearest one thousand.\nAnswer: 61086000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 502*h + 3972. What is f(-8)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (107\/(-3))\/((-2)\/11 + 6720\/3080) and 12\/1991?\nAnswer: 11946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 5*y**2 + 6*y + 88. Let q(z) = -14*z - 7. Let k(v) = -4*h(v) - 3*q(v). What is k(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1207 - 1209.4. Let g = 7 + -6.88. Let k = g - -0.88. What is the closest to k in 2\/17, x, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1321 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z - 5*z + z + 5*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 + -25. Calculate the remainder when 16 is divided by (-3 - 0\/1) + j\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14956, -59906, -134820, -239698, -374540, -539346, -734116?\n\"Answer: -14982*f**2 - 4*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/2 + 25 + -19 - -3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/10*(-8)\/(-12). Let w = 5 - 2. What is the biggest value in j, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -10)*(-2 - -3). Suppose m = -5*b + y, m + 5 = 4*m - b. Solve -m*g - 8 = -0*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28223609 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63561619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -4, 26, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + (6*(1*sqrt(114) + sqrt(114)) - sqrt(114)))\/sqrt(486).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 272500 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*n + 2. Let m(w) = -11*w + 1. Suppose 1 + 1 = x. Calculate the least common multiple of m(n) and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-20) + (-2 - 2039\/(-10)). Let s = c + -252. Calculate the common denominator of 1290\/(-168) - 3\/4 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(27\/(-30181)) + (-4)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 38*z**2 + 81*z**2 - 34*z**2 - 2*z**3 as b*z**2 + s + c*z**3 + q*z and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45632.\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-366)*(-627)\/(-38)*(-3)\/(-33)*4?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 20*m - 57. Calculate the least common multiple of r(-23) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 2*u + 3*u, 0 = 5*d + 2*u. Suppose d = 5*f + 3*n + 46, -2*n - 5 = 2*f - f. What is the tens digit of (-224)\/48*(f + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399157247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 12*r**2 - 11*r + 11. Let m be t(14). Suppose 8*x - 265 = -m. Suppose 0 - 1\/3*p**3 + 0*p + 1\/3*p**4 - 1\/3*p**x + 1\/3*p**5 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -1, 1\/9, 0.3, -0.14?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(10\/11))**(-48)*w**(1\/48)*w*w\/(w**17\/w) assuming w is positive.\nAnswer: w**(-30421\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34.2958 + 0.1658. Let s = -34 - w. Let j = 0.87 + s. Which is the nearest to 2\/3? (a) -0.1 (b) j (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*m + 10. Let z be 56\/(-5) + m\/(-20). Let p(d) = -117*d + 114. Let h be p(1). Sort z, 1, h.\nAnswer: z, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/3 - -221\/60. Let o(p) be the third derivative of 0*p**4 + 0*p + t*p**5 + 0 + 27*p**2 + 0*p**3. Let g(c) = -8*c - 1. Determine g(o(q)).\nAnswer: -8*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 18. Let g be d(14). What is the remainder when 36 is divided by 2 - g - -11 - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 4*v - 6. Let a be -1 + -3*16\/(-3). Suppose -4*z + a = z. Suppose 0 = -i - z - 2. Calculate x(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times -4?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r**4 + 8*r**3*t + 2739*r**2*z**2 - 47982*r*t - 2*r*z**2 wrt r?\nAnswer: 36*r**2 + 48*r*t + 5478*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1365\/(-20))\/(-13)*692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -805273 = -805270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-12 - -3 - (2 + -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 43 + -58c9?\nAnswer: -5886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 704 - 662. What is the greatest common factor of 798 and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 2*u)*(2*u + 0 + 0) - 5*u**2 + 3*u**2 + u**2)*(-2 - 4 + 4) + (-25 + 3*u**2 + 25)*(-5 + 3 + 4).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/((-3)\/(-18)))\/(-2). Suppose -2*p - 58 = -3*a, 13 = l*a + p - 30. Suppose -a - 4 = -2*x. What is the greatest common divisor of x and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*u + o = 330*u + 7, -3*o = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8344, 8937, 9938, 11347?\nAnswer: 13164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t**3 + 4*t**3 - 3*t**2 + 6*t**3 to d*t + m*t**3 + l + k*t**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*j**3*m*x**2 - 2*j**3*m*x - 360602*j**3*x**3 - 2*j**3*x + j**2*x**2 - 2*j*m*x**2 - 42*m*x**3 - 1133*m*x**2 wrt x.\nAnswer: -2163612*j**3 - 252*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(sqrt(2) + -5*(sqrt(2) + 0)).\nAnswer: 5 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 12:50 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-30) + (-2 - 21\/(-5)). Calculate the remainder when 93 is divided by (24\/(-14)*o)\/((-9)\/84).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 10:44 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/6506423 or 0?\nAnswer: 2\/6506423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 10*z**2 - 2*z + 12. Let f be g(-10). Let w be (30\/4)\/(8\/f). Let x = 32 - w. Sort 0, x, -1 in decreasing order.\nAnswer: x, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 2*v**2 - 5*v - 6. Let z be 6\/(-2) - (4 + 1 + -6). Let g be m(z). Let b(d) = d**2 - 2*d + 1. What is b(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (407 - 86*z - 407)*(2*z - 1 + 0*z + 0) to w*z**2 + y*z + r and give y.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.059, -0.393, 4, 2, -1?\nAnswer: -0.393","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, o: 2, p: 1, r: 4}. What is prob of sequence rvvp?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1911 - -2196. Let m be 4\/14 - (-2)\/(-7). Suppose m*u + g = 3*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 12*a + 5*a)*(1 + 139*a - 37*a + 81*a) as t*a**2 + j*a + n and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -709, -798, -1043, -1522, -2313?\nAnswer: -3494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -20*l - 5. Determine s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -145725730617?\nAnswer: -145725730617.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14551*-1.529\nAnswer: 22248.479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0136604 rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62221*s - 4*p + 27 = -62220*s, -s - 8 = -p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -17*q**3 - q**2 + q. Suppose 2 + 6 = 8*b. Give r(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*j + 20 = -62*j. Solve 13 - 3 = p + 2*w, -12 = -j*w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 7744\/28 - 3\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -1. Suppose -2*o - 2*o = 0. Put -2, o, a in descending order.\nAnswer: a, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*b*i - b + 26*i + 2 wrt b?\nAnswer: 22*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k**2*n**2*s - k**2*s**2 - 2720*k**2 - 2*k*n*s**2 + 3*k*n + 14492*n**2*s**2 + s**2 + 1 wrt k?\nAnswer: -10*n**2*s - 2*s**2 - 5440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 60?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = 5*r - 36 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11231 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-40))\/((-1)\/4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**4))**(-9)*y**19*y**(-2\/13)*y*y*y assuming y is positive.\nAnswer: y**(752\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 481872 divided by 120468\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/(l\/(l\/(l**19\/l)))))\/l*l**(-3\/8)\/l*l assuming l is positive.\nAnswer: l**(141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3024809*g**3 + 441731*g**2 wrt g.\nAnswer: -18148854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28369 is divided by 101.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + 21?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -16\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 10) to base 13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 + 3*k**3 - 3*k**3 + (-2*k**2 - 4*k**2 + 2*k**2)*(-12*k**2 + 39 - 39) as m*k**2 + i*k**4 + v*k**3 + f*k + l and give i.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*s + 100*s + 111*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/110 and 20\/4881?\nAnswer: 536910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -c, 13*s + 15 = 18*s - 5*c. Suppose m - 2743 = -3*o - m, -4571 = -s*o - 3*m. What are the prime factors of o?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9*u. Let k(z) = -4*z. Suppose 3*y + 5*b = 25, -b + 7 = y - 0*b. Let r be (-6 - -1)\/((-65)\/(-26)). Give r*w(i) + y*k(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -284.561892 rounded to the nearest integer?\nAnswer: -285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - o**2 - o - 1. Let s(i) = i**3 - 10*i + 25*i**3 - 9*i**3 - 10 + 3*i**3 - 10*i**2 - 8*i**3. Calculate s(f) - 10*v(f).\nAnswer: 22*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.44 + -3.16. Let l = 1.4 - m. Let y = 0.159 - 0.169. What is the nearest to -1 in 2\/15, y, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2546, -5155, -7768, -10385?\nAnswer: -13006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4.499597603 - -0.02\nAnswer: 4.519597603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -7 - 62. Let l = m + -19. Suppose 2*u + l*b = -96667 - 1143317, 3*u = b - 1860004. What is u rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (31 - 1) + (15 + -3)\/(-4). Let l = i - 18. Suppose 9 = -0*y - 3*y, -2*t - 5*y - l = 0. Solve 0 = t*g - 22 + 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -115, -3, 0, 160\/31 in descending order.\nAnswer: 160\/31, 0, -3, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 24. Let a(n) = 1. Give 6*a(y) - 2*k(y).\nAnswer: -2*y + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*d = 1607149 - 1630177 for d.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -3*q + 17*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**6\/30 + 43*p**5\/15 - 61*p**4\/3 + 160*p**3\/3 + 399*p**2. Factor k(l).\nAnswer: -4*(l - 40)*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 51*q + 576. What is x(18)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/27, -4, -104\/7?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -535*c + 17 wrt c.\nAnswer: -535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*l - 1, t + 2*t = 5*l - 1. Let y be t\/(1\/(2079\/6)). What is the common denominator of (1\/(-6))\/((-9)\/y) and -23\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -791.4 + -0.1.\nAnswer: -791.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -38*w**2. Let h(n) be the second derivative of 1\/6*n**4 + 0*n**2 + 1 + 0*n**3 + 46*n. Give h(o(u)).\nAnswer: 2888*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 - (86 - (8 + 103)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - m - 3*m)*(-2*m**2 + m**2 + 3*m**2) + 6*m**3 - 4*m**3 - 3*m**3 - 3*m**3 + m**3 + 0*m**3 + 36602*m**3 - 19134*m**3 - 23938*m**3.\nAnswer: -6475*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 1:49 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from {b: 1, e: 1, o: 3, a: 1, q: 4, g: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 919267931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(1365\/910)\/(6\/26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8065, 8070, 8075, 8080, 8085?\n\"Answer: 5*d + 8060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 4*y**2 - 6*y + 15. Calculate o(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 329163*p**3 - 4*p**2 + 8*p - 10533556.\nAnswer: 987489*p**2 - 8*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 6. Let r be (-3)\/9 + m\/3. Let z be 1\/(r\/(-2) + -1). Which is greater: z or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - i - 239689 = 368016, -4*t - 4*i = -405132. Round t to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**3\/5 + 4724*x**2 + 31608992*x\/5 - 9840678064\/5 = 0.\nAnswer: -3082, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -61100 (base 7) in base 16?\nAnswer: -39ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1916 = -8*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -41 (b) 3 (c) 0 (d) 0.2 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4*(-2 - -2). Let r = v + 0. Let q be (r + 1)\/(11 + -14). Which is the closest to 1\/4? (a) -2\/7 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*-7*1\/21 - 65?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.32, -0.8, -48?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h - 143 = 109 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:57 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9624 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 u when three letters picked without replacement from {b: 1, u: 2, s: 1, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 685390?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 2852*d**2 - 19872*d - 299. Calculate j(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2958 + 2959. Let v(q) = -q + 1. Let n(y) = 7*y + 1. Calculate d*n(w) + 4*v(w).\nAnswer: 3*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) 626 (c) -4\/81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1092 - -1089. Let v(u) = -u**2 + 6*u + 11. Let m be v(8). Sort -2, m, b in decreasing order.\nAnswer: -2, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52.119 - 52. Let o = b - 0.219. Sort o, -5, -0.5, 0.1.\nAnswer: -5, -0.5, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 359, 1660, -4 in decreasing order.\nAnswer: 1660, 359, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.7, -4, 7.6 in decreasing order.\nAnswer: 7.6, 1, 0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o - 3. Let p = 32 - 48. Calculate the lowest common multiple of 213\/24 + (-2)\/p and d(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((110\/(-1925))\/(6\/(-885)) - 9)*-7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3975 - 3975.1. What is the nearest to t in 3, -6, 4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 208114 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 0*y**2 - 6*y + 11\/3*y**3 + 12. Find the first derivative of q(o) wrt o.\nAnswer: 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3017994 and 2172?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-1*8\/18?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbhb when four letters picked without replacement from wbwbhwwbwhbwb?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(2*sqrt(2)*-2)*-6.\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 1 + 1266*a + 1273*a - 3814*a + 1276*a + 98*a**3 in the form k*a**3 + n + z*a + s*a**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-5)\/(-30)*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-46)\/(2\/(-6)*-2). Let p = -40 - v. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 163*a**3 - 5*a**2 + 2*a + 1. What is the units digit of s(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 - -115. Solve 0 = b - 5*j + 12 + t, 4*b + 14 = 2*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrhhzhzzrhzwhrhhhzhh. Give prob of picking 2 r and 2 z.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29 and 4 + -8 - (-45)\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 2)*(4 - 1 - 1)*(5 - 113 - 277)*(1 + 4 - 2*j - 2).\nAnswer: 6160*j - 9240","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -59*b - 2. Let n be v(2). Let p be n\/(-2470) + 2\/(-13). What is the closest to -2 in 0, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 417 and 7505?\nAnswer: 3129585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*893.641\nAnswer: 89.3641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19091530 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 296446666 rounded to the nearest one million?\nAnswer: 296000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 623131\/157 + -3969. Let n = -351 + 354. Suppose -n = -45*r - 3. Which is smaller: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 less than 691664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x - 6*x + 18*x**2 - 2*x**2.\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -1. Let w(f) = -3*f. Let q(j) = 2*w(j) - 2*z(j). Suppose -5*d = -7 - 3. Let b(t) = 0*t + d*t + 5*t - 3. Calculate -4*b(o) - 5*q(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31021 + 1?\nAnswer: 31022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*n + n - 66, -c + 40 = 3*n. Suppose n = w + w. What is the least common multiple of 1 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -358 - -2502\/7. Let d = -1\/6 - 1\/3. Put d, b, 2\/5 in ascending order.\nAnswer: b, d, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-1560)*26)\/((-3)\/(-12))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -4, -1, -3, 1 in increasing order.\nAnswer: -4, -3, -1, 1, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 8*v**2 + 7*v + 6. Let w be b(-6). Let z be ((-2)\/(-4))\/(3\/w). Let n(q) = q**3 - 7*q**2 + 4*q + 7. Give n(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - ((17 - 6) + -16 - -20).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -11*z + 8 + 5*z + 5*z - 21. Suppose 360 = 59*y - 131*y. What is q(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7387*j - 3 + 21775*j - 7287*j - 7284*j in the form r*j + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 7*j**2 + 8*j - 5. Suppose -10*d + 281 = 221. Calculate h(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 + 229640*s + 1607482\/7.\nAnswer: -2*(s - 803741)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -696 in descending order.\nAnswer: 4, -5, -696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + (408 - 3))\/((-1020)\/(-112) - 9). What is the highest common factor of f and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 52, 113, 184, 271, 380?\n\"Answer: j**3 - j**2 + 57*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c + 10 - 75 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 8:01 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3247 - 4731 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j\/(j**(-12)\/j))))\/j)**(-12))**42 assuming j is positive.\nAnswer: j**(-6552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 6*g**2 + 6*g - 4. Let j be y(-7). Suppose r + j*c + c = 31, -2*r - c + 27 = 0. Let a = r + -7. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 23*f = -20*f, -3*a - f = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6*o**3 - o - 1. Let y be q(-1). Let k = -186 + 320. Calculate the remainder when 25 is divided by y\/(-15) + k\/10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*m + 151*m = -38 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 35, 80, 143, 224, 323?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from iiiihiihhiiiiiiihii?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2136149267?\nAnswer: 7, 43594883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36878820783 - 36878820632.99999331. Let k = a - 150. What is k rounded to 7 decimal places?\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlblbbbbl. Give prob of picking 1 d and 3 b.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - r**2 + 8. Let f be k(0). Let g(p) = -p**3 + 7*p**2 + 7*p + 10. Let y be g(f). Is y\/(-12) + 2735\/30 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 6, 3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23\/4 - 6. Let w = -373\/7 - -53. Let i = -4 - 0. What is the nearest to -0.1 in w, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46629013642 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1888 - 0.2112. Sort 3\/4, -1.2, 0.4, i in ascending order.\nAnswer: -1.2, i, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.105 + 7.105. What is the closest to d in 4, -0.5, -1195?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.473718233 rounded to four dps?\nAnswer: 0.4737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from afaffnvkfaf. Give prob of sequence akfn.\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15043, -160, -4, 0.\nAnswer: -160, -4, 0, 15043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5833 - 0.04891.\nAnswer: -5833.04891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 1:51 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*o - o. Let n be 16\/(-3) + 4\/o. Let v(y) = 7*y**2 - 6*y + 2. Let q(z) = -6*z**2 + 6*z - 2. Let x(f) = n*q(f) - 5*v(f). Give x(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -1102113?\nAnswer: -1102032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 185479 and 14014?\nAnswer: 371328958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -178067 in -6\/11, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 887329726367 - -12\nAnswer: 887329726379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-2))\/((-3)\/(-4)). Let t be w\/1 - 4 - 1. Let f(v) = -6*v + 33. Let x be f(6). Is x greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 5*p**2 - 5*p - 1. Let q be k(-4). Suppose -o = q*o. Let i = -1 - 0. Put o, -4, i in decreasing order.\nAnswer: o, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21929219?\nAnswer: 13, 41, 41143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 50 - 10. Let f(t) = -5*t**2 - 40*t - 70. Calculate the smallest common multiple of f(-4) and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 12 + 4. Solve 3*w = y + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((304\/4)\/2)\/(6\/(-3)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, u: 2, g: 4, h: 1, o: 3, n: 6}. What is prob of picking 1 d and 1 n?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 10*o**2 - 12*o + 12. Let f be h(11). Let t be (-70)\/(-60) + f\/(-2). Is -4 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/17))**(-32)*a**(-25)*a**22 assuming a is positive.\nAnswer: a**(-83\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*n + 130 = 0. Let y = -95 + 58. Let f = y - -50. What is the highest common divisor of f and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 16*o + 136. Determine m(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 87198.4 to the nearest 1000.\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 1157025276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 843, 2936, 7045, 13842, 23999?\nAnswer: 38188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 100, 17, 1 in decreasing order.\nAnswer: 100, 17, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**11\/g)**1)**(-8\/9) assuming g is positive.\nAnswer: g**(-88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l = 26*l - 28. Let x(k) = -5*k. Let z(r) be the third derivative of r**4\/6 + r**3\/6 - 11*r**2. Give l*z(v) + 3*x(v).\nAnswer: v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and 58.\nAnswer: 1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 4*z - 336. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + (1 + sqrt(1584) - sqrt(1584))**2)*-6 - (-4 + (sqrt(1331) + -4)**2).\nAnswer: -1349 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 191560 to the power of 1\/2, to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 - 52. Let h = f + -30. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 969270517.\nAnswer: 969270517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(47250\/(-75))*-2*(-6)\/(-4)*-255.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -43361232.3 - 1.5\nAnswer: -43361233.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 5*s = -13*d - 1 - 2, 0 = 83*d - 2*s + 3*s + 163 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - q = -10*q. Solve j + 9 = 4*b, q = -2*j + 3*b + 25 - 38 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -3*p + c, -21941 + 11142 = -3*p - 62*c - 10993 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 8. Let y(t) = t**2 - 8*t - 6. What is the units digit of y(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/35 in -4, -0.5, -3, -3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/(39\/(1053\/12))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5388511*a**2*l**3 - 2*a**2*l - 12111*a**2 - 8*a*l - 2*a - 2*l wrt l?\nAnswer: 32331066*a**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7036265 days to nanoseconds.\nAnswer: 60793329600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + i = 0, 0*d - 4*i + 2 = -3*d. Let p = d - 2. Differentiate p*z**3 - z**3 - 10*z - 1 + 10*z with respect to z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -35 + 53. Is 10 a factor of 4\/((-8)\/x) + (91 - -9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 9\/55184 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 221525\/157 - 1411. Let g = t + -149\/628. Which is the nearest to 2? (a) g (b) -0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 - 77. Suppose t = 2*h - 361, 3*h - v*t - 895 = -2*h. Differentiate -h*m**2 + 163*m**2 - 2 + 13 wrt m.\nAnswer: -38*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) -14 (c) 0.1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1386*o**5 - 11*o**4 + 780*o**2 + 9*o.\nAnswer: 83160*o**2 - 264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -139, 2 in decreasing order.\nAnswer: 3, 2, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19362 + -19416.5. Which is smaller: u or 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 - 1177*z - 4764. What is o(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3232887 by -34.\nAnswer: -3232887\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 7) to base 16.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 391*c. Let k(v) = -104*v + 2. Calculate k(x(d)).\nAnswer: -208*d**2 - 40664*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 23*w - 6. Calculate q(-3).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 3:52 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 44. Which is greater: g or 11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - f + 36 = 0. Let q(x) = -215 - x**3 - 5*x - 6*x**2 + 112 + 106. What is the remainder when q(f) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 412792045?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5795*533.\nAnswer: -3088735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7092800 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 5. Let w be l(-3). Solve -w*d = -0*d - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 160495\/3 - 219878003\/4110. Find the common denominator of -91\/20 and t.\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0152 - 0.0150824. Round v to 6 dps.\nAnswer: 0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 135 = -3*m, 185 = -0*m + 4*m + t. Let f = -44 + m. What is the tens digit of (3 + (-6)\/f)*97?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3960707*k**2. Let f(s) = 4*s**2. Give f(u(a)).\nAnswer: 62748799759396*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 183 and 32682.\nAnswer: 1993602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -6\/5, 0.4?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13 - ((9 - 6) + 6) - (-8 + -4)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 851182 to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, w: 11}. What is prob of sequence tw?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**5\/2 + 5*j**4\/2 - 29*j**3\/2 - 37*j**2\/2 + 14*j + 16 = 0.\nAnswer: -8, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/69)\/(3\/(-108)*(115 + -119)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, 32, 241, 534?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35520137.\nAnswer: 337, 105401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 319 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 3*k + 11. Let f be d(-7). Suppose -f*u + 16027060 = -35*u. Suppose 2*o - u = 5593235. Round o to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41*b**2 + b - 100?\nAnswer: -82*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**3 + 905320*o**2 + 905335*o - 1810650 = 0.\nAnswer: -2, 1, 181065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 68*d**2 + 97*d + 148. Is r(-9) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7 = 1. Let p be 8\/m + 2\/(-3). Let l be (3\/(-6))\/(p\/(-12)). Solve 0*b + 2*b - 14 = 2*h, b = -h - l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 53 = o - 111, o - 84 = -v. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*m - 0*m. Solve -18*s - 127 + 37 = m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 43. Let h = f + -32. What is the lowest common multiple of h and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 4:54 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**3 - 8*y**4 - 14 + 15191*y - y**4 + 2*y**2 - 15194*y wrt y.\nAnswer: -216*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -57363514\nAnswer: 17209054.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x. Let d(l) = 129*l. What is z(d(k))?\nAnswer: 387*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (50 - (-10 + 61)) + (12 + -2 - 0) - -2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) -0.03 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -15*v**3 - 28*v**2 + 26*v + 7. Let u(h) = -28*h**3 - 56*h**2 + 47*h + 13. Determine -11*t(z) + 6*u(z).\nAnswer: -3*z**3 - 28*z**2 - 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6522 + 52075\/8. What is the common denominator of 7290\/72*4\/80 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 1602*i - 14343. Give y(9).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1049 is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by ((-312)\/14)\/(486\/(-756)) - 4\/6.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3ba6ba + 2?\nAnswer: 3ba700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 4:07 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.37*-0.007.\nAnswer: -0.00259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*t**3 - 2*t**3 - 5*t**3 + (2*t + t**2 - 2*t)*(-6 + 6 + t).\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d**2 + d**2 - 2*d**2)*(-15 - 17076*d - 14 - 140 + 169) to the form p*d + g*d**2 + o*d**3 + c and give o.\nAnswer: -34152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -d + 3*d. Let a = 133 - d. Suppose -17 + a = 4*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/897000 and -193\/1560.\nAnswer: 897000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**3 + 12*f**2 + 974*f. Determine a(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19196 is divided by 19196.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 252, 552, 980, 1542, 2244?\nAnswer: 3092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + ((sqrt(7) + -1)*-2 + sqrt(7))**2)*-5.\nAnswer: -55 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -0*m + 3*m. Let q = -29.2 - -28.8. Put q, m, -2\/21, 1\/4 in ascending order.\nAnswer: m, q, -2\/21, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-24)\/16*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 34*i**2 + 42*i - 236. Calculate d(35).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 616513 = 4315587\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -533*a**2 + 9*a - 11. Let s(g) = -265*g**2 + 5*g - 6. Determine 7*s(m) - 4*x(m).\nAnswer: 277*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -58 (b) 12\/11 (c) 0.3 (d) 16 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (29 - 1)*4\/(-8). Let x be (-12)\/q*(-2)\/18. Is x equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(-10) - 12\/30. Let w(j) = -5*j - 2*j + 3 - 180555*j**2 + c + 3*j. Let t be w(6). Round t to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*h**2 + 76*h**2 - 829*h**2.\nAnswer: -789*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 428736 a multiple of 638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -283, -600, -1125, -1852, -2775, -3888?\n\"Answer: b**3 - 110*b**2 + 6*b - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 12:59 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 8*y**2. Let q(j) = -5*j. Let t(u) = -2*u. Let o(c) = -3*q(c) + 5*t(c). Calculate p(o(g)).\nAnswer: 200*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -0*f + 8*f. What is the least common multiple of f and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 14 - 46 = 0. Let h be (-105)\/(-12) + (-2)\/q. Is 6\/h + (-2739)\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 28*x - 26 = 0. Let l be (x - (3 + 2))\/((-54)\/72). Solve -3*h = -5*o + 6, -3*h = 2*o + h + l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -934353 (base 10) in base 2?\nAnswer: -11100100000111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -298, -450, -590, -712?\nAnswer: -810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2\/7 - 10\/7*d**2 - 8\/7*d = 0.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v\/(v**15*v))))\/v*v**(-7\/4) assuming v is positive.\nAnswer: v**(-67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**8\/280 - c**6\/45 - c**3\/6 - 6*c**2. Let f(m) be the first derivative of x(m). Find the third derivative of f(p) wrt p.\nAnswer: 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 27\/1462, 1, 2\/13, -1\/6?\nAnswer: 27\/1462","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, u: 10, x: 4, e: 1}. Give prob of sequence oo.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 2*m - 1. Let h be g(-3). Let t = h - -6. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*g - 593480, 17*g = 13*g - 3*w + 474815. What is g rounded to the nearest one thousand?\nAnswer: 119000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 61*o. Let u(h) = 8*h**2. What is u(z(r))?\nAnswer: 29768*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/13)*z)**12*(z**6)**44)**(5\/7) assuming z is positive.\nAnswer: z**(2580\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h**2 - 6. Let b(w) = w**2 + w + 2. Let c be b(0). Let n(q) = 5*q**2 - 3*q**2 + 9*q**c + 9*q**2 - 17. Let y = 8 - 14. Determine y*n(x) + 17*o(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*l - 94. Suppose -5 = -v - 0. Suppose -5*o = -v*y - 170, 187 = 5*o + 5*y + l. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*u + 7392 = -486*u for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26599\/2335 + 4\/467. Find the common denominator of i and -107\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96620064623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/232 and 6 + 692\/(-145) + 3\/(-2)?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**3 - 2*u - 1. Let g be b(-1). Suppose g*s - v - 29 = 0, -s = -0*v + 5*v - 23. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k - 5*h + 3, -11 = 3*k - h. Let l be 15\/39*k\/10. Which is the closest to 1\/3? (a) l (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2 + 641*k - 18274. What is m(-185)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m**3 - 2685*m**2\/2 - 11475*m\/2 + 2625 = 0 for m.\nAnswer: -70, -5, 5\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -728 divided by 182?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**2 - 6*c - 4*c**2 + 5*c**2 - 2*c**2 in the form q + g*c + d*c**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhnhhkhhpnhoknnhhh. Give prob of picking 1 h, 1 n, and 1 p.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3 = 7. Suppose 5*b - 12 = -4*q, 6 = -0*b + 3*b + 2*q. Suppose 0 = 3*p, -4*y - 3*p + b*p = 0. Sort y, -2, u in decreasing order.\nAnswer: u, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 49 = 37*c. Let t = 0.08 - -2.92. What is the third smallest value in t, c, -2.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*f, 2*f = 2*g + 2*g - 18. Solve 3*p = p + g*o - 2, -3*p - 7 = o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmhzdkud. What is prob of picking 1 h and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -13*b**6\/60 - b**4\/12 + b**3\/6 + b**2. Let r = -58992 + 58993. Determine i(r).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkwkkkkkkkkkkw. Give prob of picking 3 k.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/80*1*-5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 - (-5 + 5 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15951919 + 6*d**2 - 15951919.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1823172.\nAnswer: 2, 3, 13, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4)*20\/(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 + 3.9. Let i = -2.099872 + j. Round i to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:31 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-15) - 965\/25. Let g = c + 106. Let w = 128 - g. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60142 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a. Let k(b) = 19*b. Let c(u) = -32*u + 63*u - 40*u. Let x(j) = -7*c(j) - 3*k(j). Determine x(r(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 2*v**2 + 2*v. Let t(x) be the third derivative of -x**6\/24 + x**5\/15 - 5*x**4\/24 + x**2. Let z(k) = -14*o(k) - 6*t(k). Factor z(g).\nAnswer: 2*g*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6030.79 microseconds to milliseconds.\nAnswer: 6.03079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 661715612 and -0.4.\nAnswer: 661715611.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 17*p**2. Let k(c) = 6*c**2 + 18*c - 79. Let i be k(7). Let r(d) = i - 169 - 172 + d. Determine r(v(j)).\nAnswer: 17*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 9. Suppose -4*m = 4*k + 224, m - 35 + 97 = -4*k. Let l = 52 + m. Let i be p(l). Solve 0 = 4*j - 5*s + 19, -j - 2*s + i = -6*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 1)\/(-8 - -9). Is 1\/11 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 18045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 2:21 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**4\/12 - r**3 + 9*r**2\/2 + 3*r. Is j(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.13 + 0.13. Suppose 123 + 125 = 8*h. Suppose v - h = -36. What is the biggest value in l, 5\/4, v?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddqq. What is prob of sequence dd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -18221 + 18221 - 3*r. Let u(a) = -156*a**2. Calculate u(s(x)).\nAnswer: -1404*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 2*z. Let n be u(0). Suppose n = 4*k - 0*k - 32. Suppose 4*a = 148 - k. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 3*w - 3*a, -227*w = -230*w + a - 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*m**3 + 36*m**2 + 64*m**3 - 37*m**3 + m**4.\nAnswer: m**2*(m - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 23*k**2 + 108*k + 9. What is a(-27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 827712.1 kilograms in nanograms?\nAnswer: 827712100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17169303 or 17169300?\nAnswer: 17169300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 63*u - 1. Let y be t(-2). Let q = 178 + y. List the prime factors of q.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(288) + sqrt(288) + (sqrt(288)*5*-6 + sqrt(288) - sqrt(288) - sqrt(288)))\/sqrt(12))\/(1*sqrt(12)*2 + sqrt(12) + sqrt(36)\/sqrt(3)*-4))**2*5.\nAnswer: -16820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2687789, 5375366, 8062943?\n\"Answer: 2687577*w + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1ac53 (base 13) to base 6\nAnswer: 1043351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62754586 is divided by 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 69. Find the first derivative of -179*o**2 + 179*o**2 + h*o**3 - 17 wrt o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, j: 5, x: 1, p: 1, h: 1}. Give prob of picking 1 q, 2 p, and 1 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -45. Let h(k) = 23*k - 27. Let p(z) = 34*z - 41. Let w(g) = 8*h(g) - 5*p(g). Calculate the remainder when w(3) is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 67*r - 73*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 760 divided by -76.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + m = 13, -2*m - 7 = q - 5*m. Let j be -3*((-6)\/(-9) + 0). What is the units digit of 6\/(22\/q + j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/10)*w*w)\/(w\/(w\/w**(-8))))\/((w*w\/(w**0\/w)*w*w)\/w**(-3)) assuming w is positive.\nAnswer: w**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473248, 945475, 1417702, 1889929, 2362156, 2834383?\nAnswer: 3306610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8369 is divided by 8309?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 95, 1878, 1, 5 in ascending order.\nAnswer: 1, 4, 5, 95, 1878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*i + 3*x + 38 = 0, 14*i + 4*x - 20 = -19*i + 54*i - 15*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2764.107 to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10471 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1730305983.\nAnswer: 3, 7, 2027, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 16073793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a - 10. Suppose 3*q - 400 = -0*q - v, 5*v + a = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7799 is divided by 325.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-9)*240\/(-40).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhhz when four letters picked without replacement from azhzaahaz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1608, -1\/2, -1, -6, 0.6 in descending order.\nAnswer: 0.6, -1\/2, -1, -6, -1608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/34 - (980\/68)\/(-5). Solve 0 = -n + d + f, 3*n + 11 = 4*d - 6*d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z + 7*z - 6*z**2)*(-1830*z - 1392*z + 2693*z)*(-z**2 - z**2 + 5*z**2).\nAnswer: 9522*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**11)**35\/((i*i\/(i*i*i*i\/i**(-4)*i))\/(i**(2\/83)\/i)) assuming i is positive.\nAnswer: i**(32455\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 305767673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4928 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: What is 200931 rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 37077040.\nAnswer: 1\/7415408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -67*a - 1. Determine n(1).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663348 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3050\/3 + -173743\/171. Let q = m + 5\/19. Let o be 3 - 4 - (-2)\/4. Which is smaller: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**8\/l)\/(l\/(l*l**9)*l))**49*((l**(7\/2)\/l)\/(l*l**(-1\/4)*l))**(-24) assuming l is positive.\nAnswer: l**717","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 6. Let a be t(6). Suppose -h = m + 2, -5*m - h = -a*m + 2. Suppose 6 = -m*k + k. Solve 3*g = 6 + k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 159*f**4\/4 + 23*f**3\/6 + 27*f**2. Is z(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 943 - 929. Suppose 11*q + 8*q = 38. Put o, q, -1 in decreasing order.\nAnswer: o, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/8 - (-4)\/(-16). Is ((-2)\/w)\/(1\/62) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h. Let j(n) = -7*n**2 - 4*n. Let z(a) = 14*a**2 + 8*a. Let m(w) = 9*j(w) + 4*z(w). Determine y(m(o)).\nAnswer: -7*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 17. Let x be (2 - 2) + -2 + z. Let t be x\/(-7)*21\/7. Put 2, t, -2 in decreasing order.\nAnswer: 2, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40853.84 kilograms in nanograms?\nAnswer: 40853840000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 161*p**2\/2 + 725*p - 491. Differentiate o(u) wrt u.\nAnswer: 161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-550)*-11)\/(-6)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21704956?\nAnswer: 2, 7, 13, 59629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -15\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/120*(-84)\/238. Let k(n) be the second derivative of u*n**5 - 4\/51*n**3 + 0 + 4\/17*n**2 + 3*n - 5\/102*n**4. Factor k(q).\nAnswer: 2*(q - 2)*(q + 1)*(3*q - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609*x - 288 = 577*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1 - 29 = 0. Let o(w) = -509*w - 1016. Let v be o(-2). Solve 5*p = v*p - r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 96543578, 96543586, 96543596, 96543608, 96543622, 96543638?\n\"Answer: b**2 + 5*b + 96543572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -71\/37?\nAnswer: -71\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.1 (c) -277\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 1. Let v be r(2). What is the units digit of v*(-6)\/3*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 2. Let q be n(4). Let f(k) = -8*k**2 + 6*k**q + 3*k**2. Let a(b) be the second derivative of b**3\/6 - 3*b. Calculate f(a(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000149076 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 5*z = -20, 7 = 5*o - 5*z - 13 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 o, and 1 w when three letters picked without replacement from qoqqooqrqqwwonr?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 568.7362ng in milligrams?\nAnswer: 0.0005687362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 578*j**3 - 84268954*j - j**2 - 1920*j**3 + 84268957*j to c*j + t*j**2 + f + k*j**3 and give k.\nAnswer: -1342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0219 - 615.9461. Let x = i + 621. Let y = 0.032 - x. Which is the smallest value? (a) -4 (b) 2\/5 (c) 3\/2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 754635*w**2 + 61913690*w.\nAnswer: -5*w*(w - 82)*(w + 151009)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -95\/2 (c) -0.79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**3 - 1493*k + 1492. What is s(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 2*g**2 + g - 1. Let w be (-22)\/(-4) + 2\/(-4). Let h = 8 - w. What is the tens digit of b(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l. Let d(j) be the third derivative of j**7\/2520 + j**4\/24 + 2*j**2. Let o(p) be the second derivative of d(p). What is f(o(b))?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 913.672 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 11 (c) -3 (d) 179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 9*u - 860 = 0. Let d be (3\/3)\/((8\/(-4))\/u). Are 43 and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 18*z - 17. Let f be x(-6). Find the first derivative of f*w + 33*w - 55 - 51*w + 29*w wrt w.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.34 in 5\/2, -58, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -13, -0.3, 328.36, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44102612*y + 4*y**2 + 44102612*y.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(16\/(-12)))\/((-3)\/(-2)). Let m be (-1 - 10\/(-4))*2. Find the first derivative of -m + 0 - o - l + 4 wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 + -5 - -36 - 22 - 15.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -253622259 by -212949.\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1606859?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = 2. Let f(x) = x**3 + 2*x**2 - 4*x - 1. Let r be f(k). Determine b so that -2*b**r - 6*b**3 - 6*b + 1 + 22*b - 9 = 0.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -10 - (4 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16567768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69622.299ns to hours.\nAnswer: 0.0000000193395275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 136 and 136 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 42 = -11*u + 3*p, 2*u - 44 = -2*p. Which is bigger: -4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-138)\/2898)\/((-1)\/7)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s + 1 - 8*s + 0)*(534 + 631 - 40).\nAnswer: -1125*s + 1125","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 210*q - 5. Let v(b) = -3570*b + 84. Calculate 5*v(n) + 84*w(n).\nAnswer: -210*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 13*o + 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 - 6 = 0. Is 7\/35 + 694\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-8)\/80*5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6148 and 74.\nAnswer: 227476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**5\/60 + d**4\/24 - 3*d**3\/2 - 5*d**2 - 11. Let f be p(-4). Solve -3*m + 12 = 3*o - 0*o, f*m - o = 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - -0.7. Let m = 0.895 - -0.085. Let z = m - -0.02. Are z and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13228 a factor of 1088188192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604540 is divided by 151130?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4620)\/(-264)*(-4)\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q - q**3 + 15*q**3 + 4*q**2 - 17*q**3 in the form m*q**3 + f*q + z + j*q**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -0.1 (c) 4 (d) -332 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 35 - (8 + -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2 - 529*n + 1065*n - 512*n. Calculate o(10).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(15)\/sqrt(3)) + sqrt(48)*-6.\nAnswer: -23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-18) + 57\/9. Let o = 53 + l. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 4*x**2 + 3*x - 3. Let l(k) be the second derivative of k**4\/12 - 5*k**3\/3 + 5*k**2 + 6*k. Let t be l(8). Let z = t - -3. Calculate s(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 15 = -z, -3*z - 2*r + 42 = -6*r. Calculate the greatest common divisor of 12 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4988 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - g + 1 = -10, 0 = m + 3*g - 17. Solve -2*t + 7 = -2*d + 3*d, d + 13 = m*t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -200821?\nAnswer: -6\/200821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7725*a - 15162 = 8124*a for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -8593*i. Let u(j) = -2*j**2 + 11888*j. Determine u(n(y)).\nAnswer: -147679298*y**2 - 102153584*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w. Let o = -10 + 12. Let m(l) = -l**2 - 2*l**o + 6*l**2 + l**2. Calculate i(m(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -64 - 11b?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 2. Let l be 22\/14 - (-164)\/(-287). Sort l, -2, w in increasing order.\nAnswer: w, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 5*g + 6*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 4*l - 40 = 0. Suppose y = -y + l. Suppose -2*g - 86 = -y*j, -g - 78 = -4*j - 4*g. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l = -39 - 21. Let z(f) = 4*f**2 - 2*f + 3. What is z(l)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**5\/9 + 56*s**4\/9 + 26*s**3 + 76*s**2\/9 - 368*s\/9 = 0?\nAnswer: -23, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -13\/19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1530 - -12643. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 3)*(-2 + 5 - 4)*(-4*s - 3 + 3) - 5 + 23 - 4*s - 14 to the form o + i*s and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2\/c)\/c)**(16\/7)*(c**(2\/5)\/c)**(3\/10) assuming c is positive.\nAnswer: c**(-9\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 666252 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -1, 0, 577 in decreasing order.\nAnswer: 577, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2494.2*-1\nAnswer: 2494.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqmmmmmmmqmmmmmqqmm. What is prob of sequence mmm?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 15376*r**2 - 29537290*r + 59136100.\nAnswer: -2*(r - 2)*(r + 3845)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6*o = -9. Let z(w) = 2*w - o*w + 6*w. Let j be (-276)\/(-966) - (5\/(-7) - -2). Let a(m) = -m**3 + 2*m. Determine j*a(f) - 2*z(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + -0.3. Let s = 0.29 + 0.21. Which is the second biggest value? (a) -4 (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 2*r**2 + 4*r. Let a(l) = l**3 + l**2 + l. Determine -2*a(i) - s(i).\nAnswer: -i**3 - 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/9 - (-4)\/6. Let q(v) = v**2 - 7*v - 4. Let i be q(7). Let p = y + i. Are -2 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3514 is divided by 141.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3, 2.86, 1, 0.88, 2, 52?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o)**(2\/23)*(o\/(o*o**2))**(2\/117) assuming o is positive.\nAnswer: o**(376\/2691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -2. Let h be (o\/(-4))\/((-1)\/(-14)). Let n be 4\/(-2) + h\/2. What is the smallest value in n, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - 31\/6 - (-2 - 89\/(-42)). What is the closest to -0.7 in f, -18, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14c (base 13) to base 10.\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3683, -7370, -11061, -14756?\n\"Answer: -2*l**2 - 3681*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01604244 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 - 3*a + 19. Calculate the remainder when z(-5) is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-2 - -2) + 1. Let g be (2 - 4\/i)*1377. Let n = -5389\/6 + g. What is the common denominator of n and -33\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 + -5.9. Put u, 5, -0.1, 1 in increasing order.\nAnswer: u, -0.1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371*y**2 - 14*y + 16*y - 281*y**2.\nAnswer: -652*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(2\/(0 - -2)). Let z(x) = 5*x - 1. What is the remainder when 40 is divided by z(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -55, -5.\nAnswer: -55, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 215364, -2, -3 in decreasing order.\nAnswer: 215364, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -594 - -860. Let m = n - 24. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.5, 0, -1730, 2\/11, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 3*l**2 - 2*l + 13. Let y be i(-4). Solve -y*z + 30 = 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20879212?\nAnswer: 2, 5219803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-228)*384\/48*-3*(-2)\/(-18)?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**5\/3 - 53*r**4 - 1762*r**3\/3 + 19915*r**2 - 383278*r\/3 + 235984 = 0?\nAnswer: -24, 7\/2, 7, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3679661938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*q - 0*s + 16, 3*s = 5*q - 30. Let w be -3*(q - (-1 - -6)). Let g = 7 - w. Sort g, -2, -3 in increasing order.\nAnswer: -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, -7 in decreasing order.\nAnswer: -4, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1316 + 1312. Which is the nearest to 0.1? (a) 2\/13 (b) x (c) -2 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 413761 to the power of 1\/2, to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 19. Let p(v) = 2*v**2 + 2*v. Let i be p(x). What is the highest common factor of i and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 + 3*w**2 + 38*w**2 - 76*w**2 + 15*w + 25*w**3.\nAnswer: -5*w*(w - 3)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 52803540?\nAnswer: 52803540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -4. Let g = 3 + -2. Let o be (70\/(-49))\/(72\/210) + 4. Put o, g, y in descending order.\nAnswer: y, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 285. Let c(w) = 85*w**2. Give c(i(j)).\nAnswer: 85*j**2 - 48450*j + 6904125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 6, m: 7}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 3*y = -20, 4720*c + 5*y - 20 = 4725*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -5 (c) 1\/3 (d) 21 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8982613?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by -317?\nAnswer: -52\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46 - -66) + (-9 - 2 - -7).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z - 67. Let s be u(36). Let o(q) = 3*q**2 + 7*q - 1. Let t be o(-6). What is the greatest common factor of s and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*m**4 + 140 with respect to m.\nAnswer: 116*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/16 + (-119)\/(-2). Suppose 3*n = -5*a + n + 192, a - v = 5*n. Let r = 93 - a. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6313258 is divided by 2447.\nAnswer: 2445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllm when four letters picked without replacement from {j: 3, d: 2, l: 4, m: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1\/11 (b) -0.5 (c) -2 (d) 0 (e) -26 (f) 3 (g) -59\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 8. Let m = 8 - 2. Let z be u(m). Find the second derivative of -5*k + 9*k + 0*k - 7*k**z wrt k.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6245 and 1870.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 b when three letters picked without replacement from snbsssssnsbs?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/21328 and -137\/24.\nAnswer: 63984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0297 + 7545397.\nAnswer: 7545397.0297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(152))\/(-2*(sqrt(32)*4 + sqrt(2))).\nAnswer: -8*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 0*n + 5*n**2 - 3 + 1. Let w be q(-2). What is the units digit of (w\/6)\/(1\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1dcccd3 (base 14) to base 8\nAnswer: -71223351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3 - 2 = 0. Suppose 5*j - j - 12 = 0. Let l(m) = 3*m**3 + 5*m**j + 1 + 7*m**2 - 2*m - 7*m**2. What is l(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -35*y**3 - y**2 - 30*y + 32. What is n(1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4882997?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 111 + -116?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 26081787 and -2.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2*-19*11\/22\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1033 - 615. Calculate the smallest common multiple of 836 and p.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 10:42 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (sqrt(78) + -5*sqrt(78)*1) - sqrt(78)*1*-3)\/(sqrt(42)\/(sqrt(35)\/sqrt(5)) + sqrt(30)\/(sqrt(5) + sqrt(5) + (sqrt(10)\/sqrt(2) - sqrt(5))))*4.\nAnswer: 64*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfz when three letters picked without replacement from ozfrufuuuu?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52446130.\nAnswer: 2, 5, 11, 476783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13 + (-7)\/((-21)\/(-6)). Let x = b - 6. Solve -5*f = x*g + 15, 3*f + 2*g + 16 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*d = 16*d + 3*d - 696 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = -146*o + 147*o. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9716799 is divided by 336.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2335588491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 5480564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 9) to base 11.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 195023058\nAnswer: 1\/65007686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*t**6 + 5*t**5 - 14*t**3 - 6412*t**2 - 2*t wrt t.\nAnswer: -3480*t**3 + 300*t**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 6. Let l = 34 - 38. Let s = 0 + l. Is s < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/16*-2*4\/20?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*x + 40. Let z be x\/36 + 86\/(-18). Let n(m) = -m**3 - 5*m**2 - m - 1. List the prime factors of n(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -58*b - 1. Let a be d(3). Let q = a + 4727\/27. Which is bigger: q or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -34 + 18*a**2 - 35*a**2 + 7*a**2 - 34*a**2 + 15*a. Let l be m(-12). Let n = l - -104837\/16. Calculate the common denominator of n and 157\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**2 - u + 7. Let h(m) = -2*m + 1. Calculate 6*h(d) + 5*i(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66*f**4 - 48718*f**3 + 16983540*f?\nAnswer: -792*f**2 - 292308*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5854 - -70205\/12. Calculate the common denominator of -46\/9 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 0*j**5 + 1\/2*j**2 + 0*j**3 - 35 - 18*j - 9\/4*j**4 + 2\/3*j**6. Find the second derivative of k(p) wrt p.\nAnswer: 80*p**3 - 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 300*w - 2697. Let f be t(9). Solve -4*r + m = -m - 14, -4*r = -f*m - 17 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92797069*y**4 - 35*y**2 + 90889*y + 4 wrt y?\nAnswer: -2227129656*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (94 + -1)\/(27\/18). Let t be d\/14 - (-27)\/(-63). Solve 3*v + 9 = -3*h, 0*h = h + t*v + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/196 and 55\/2?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2 + 13*w - 34. Is 17 a factor of j(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 + (2 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -9*t - 16. Let y be o(4). Is y greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2*k + k)*(-8 - 53 + 3).\nAnswer: 116*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 9457336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -35, -44.\nAnswer: -44, -35, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -381811 (base 12) in base 10?\nAnswer: -915277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 4*s**2 - 6*s - 3. Let k be o(-5). Suppose 11 = k*n + 1. Suppose 0 = -9*b + n*b + 72. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/((-8)\/(-16)). Are -5\/4 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2152 - -4198. Suppose -4*u = 7*u - z. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + (1 - -2) + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*j - 550*j - 62 = -278*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 8:03 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-2 - 8*-6). Let r = 239 + -107. Suppose x = -5*p + r. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/3)*u**(-38)*(u*u**(-2\/63)\/u)\/u**(-1\/26) assuming u is positive.\nAnswer: u**(-63325\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 4:29 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 41068\nAnswer: 16427.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*u - 6 = 0, -21 = -3*r + 12822*u - 12825*u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24118183200 - -4093.\nAnswer: 24118187293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 6, q: 7, x: 6}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 55.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -579 = -5*d - x, 3*x = 5*d - 471 - 132. Let f be 8 + -5 - (-228)\/2. Is d > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12273787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v + 15*v - 2*v + 108. What is the lowest common multiple of p(-10) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6603 - 0?\nAnswer: -6603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 + 8*n. Let j(d) = 3*d**2 - 7*d. What is 3*j(m) + 2*u(m)?\nAnswer: 3*m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6.72 (b) -6.4 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + 71. Is 21 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 5, 5\/3, -1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/16*(-426 + 430). Suppose 1\/2*o**3 - i*o**4 + 0 - 1\/2*o + 1\/2*o**2 = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829429 to the power of 1\/2, to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -123*j + 1747. Let d be 1 + 3\/(-3) + 0. Solve d = 13*m - j*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356562731.86 + 3574?\nAnswer: 356566305.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 5 + 3*g + 4)*(0 + 0 - g**2).\nAnswer: -5*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -77\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**16*(m**(-1\/3))**(-7\/11) assuming m is positive.\nAnswer: m**(-1049\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 10 + -1 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 80.76426 millilitres?\nAnswer: 0.08076426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 0)*(-u**3 - 31*u**2 - 618*u**2 - 465*u**2) to o*u + d + i*u**2 + l*u**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 3. Sort -4, q, -2 in decreasing order.\nAnswer: q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110020 - 1012?\nAnswer: 1102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -134 + 108. Let u = 31 + k. Solve -1 = -l - p, 0 + 1 = -u*l + p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 1:48 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17442.867 months in centuries?\nAnswer: 14.5357225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55552*n - 132939*n + 77386*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -759, -2759, -4669, -6489, -8219, -9859?\nAnswer: -11409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2077*-299.\nAnswer: -621023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -150 + 193. Which is smaller: 131\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1952 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 1:47 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124384 is divided by 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -444.9 + 445. What is the third biggest value in o, 9, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73740161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -7. Let h = -1.999996 + v. What is h rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 8*d**2 - 7*d - 9. Let w be m(9). Suppose 3 = o + 9. What is the units digit of o\/9 + 24\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 11:53 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21861 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d57 - 3?\nAnswer: -2d5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1100)\/15)\/(6\/(-126)).\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939736113.\nAnswer: 3, 41, 7640131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-625)\/(-2250)*4\/5.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.56 (b) 3 (c) -1878.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**3\/3 - 2*x. Let m(u) = 5*u - 4*u - 5*u + 0*u. Give m(z(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22432651 (base 8) to base 11.\nAnswer: -2821a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-5))\/((-44)\/(-110)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**3\/3 - 2*l**2 - l + 2. Let n be q(5). Which is the biggest value? (a) -2\/9 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 752.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -20 - (2 + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab2d6 (base 14) to base 7.\nAnswer: -3345456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 + 53*k - 58*k - 1.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.8451 - 1.3451. What is the nearest to 0 in -3, -164, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q - 8. What is s(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/56)\/(424\/(-7420)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(-4*o - 4*o + 3*o + (2*o - 2*o + 22*o)*(0 + 2 + 0))*(-5 - 2 + 6).\nAnswer: -117*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + -6 - (-39493)\/3246. Find m such that -3*m - w + 1\/6*m**2 = 0.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11098 and 951206?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -3 - ((7 - 6) + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 11*t**2 + 5. Suppose -11 + 0 = s. Let f be m(s). Solve 8 = 4*y - f*z, 4*y + 8*z - 3*z + 32 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227.7843ml in litres?\nAnswer: 0.2277843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 1)*(-21 + 55 - 3)*(-q**3 - q**3 + 4*q**3 + (-5*q + 3*q - 5*q)*(2*q**2 - q**2 + q**2)) to u + n*q**2 + p*q + c*q**3 and give c.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 79*l = 576 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m + 1. Determine a(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (25\/13 + 1)*12\/16 and 87\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 248\/1890 - (8470\/3025 - 736\/270).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcttyact. Give prob of sequence ccy.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - -2*1\/(-2). Let j(d) = -73*d - 1. Let q be j(h). List the prime factors of (-6)\/21 - q\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 11*x. Let p(q) be the third derivative of -q**4\/12 + 2*q**3 + 514*q**2 - 4*q. Calculate b(p(l)).\nAnswer: -22*l + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33\/22*104\/6. Calculate the highest common factor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 47, 73, 123, 203, 319, 477, 683, 943?\n\"Answer: l**3 + 6*l**2 + l + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwvvvw. Give prob of sequence wvww.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -21. Suppose -46 = -4*y + 3*s - 7, 0 = r*y - 2*s - 40. Suppose -4*d = -2*l + 10, -30 = l - d + y*d. What is the third biggest value in -0.1, 7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -4 (c) 4 (d) 0 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.07, -317, 3, 1, -20?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-2\/59)\/l))**(1\/77) assuming l is positive.\nAnswer: l**(120\/4543)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 956157.9 seconds?\nAnswer: 956157900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 4*x - 7 + 4*x - 6*x**2 + x. Let z(b) = b**2 + 12*b + 13. Let q be z(-10). Let n be d(q). Calculate the highest common factor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(66\/(-12))\/((-1980)\/144)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54202937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5811195625 - 5*b - 5811195621 + 12*b.\nAnswer: 7*b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.95 + 0.05. What is the closest to 1\/4 in u, 3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/(-88) + (-82)\/(-16). Suppose -3*v = r*b - 1780, 5*b - 3*b - 10 = 0. Calculate the highest common divisor of v and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 106, 3 in increasing order.\nAnswer: 3, 4, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4 - 0. Let q(i) = i**2 + 14*i - 20. Let f be q(-16). Let r be (-2)\/(f\/(-21))*a. Calculate the greatest common divisor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4812 times 15\nAnswer: -72180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302 = 3*l + 2*f - 61, 0 = 2*l + 2*f - 240. Suppose -3*w - l = -3*o, o - 33 = -0*o - 3*w. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**2 - 11*p - 10. Let x be o(-11). Let u = x + 259. Solve 0 = 4*l + 3*f - 17, -l + f + u = 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 3*u - 16. Let t be d(-6). Which is the closest to -1? (a) -5 (b) -0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17234.84 - 16253. Round z to the nearest ten.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/33 (b) 3\/2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + l**2 - 1)*(2018*l**2 - 3190*l**2 - 4472*l**2).\nAnswer: -5644*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 605107 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4505, 3\/7, 0.1, -1, 52 in ascending order.\nAnswer: -1, 0.1, 3\/7, 5, 52, 4505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 c when three letters picked without replacement from mmmmmmmccmmmm?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/2646 and 65\/14553.\nAnswer: 29106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let v(n) = 30*n - 9. Let a(k) = -66*i(k) - 2*v(k). What are the prime factors of a(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8*p**2 - 1004*p - 5737. Determine a(131).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**5\/30 + 10*n**2. Let c(p) = 1191 + 26*p + 1194 - 2385. What is m(c(h))?\nAnswer: 1352*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*o = -k + 16, -4*k = -2*o. Let b = 5 - k. Suppose -3*z = -3*t - b, 5*z - t - 14 = t. What is the remainder when 14 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-2))\/(9\/(-60)). Let c = d + 21. Suppose -c*q - 35 + 618 = 0. List the prime factors of q.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 4, -11, 44, -2, 0 in ascending order.\nAnswer: -11, -5, -2, 0, 2, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 5624565?\nAnswer: 5624560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*j = 33, 0 = -w - 11*j + 6*j + 11. Suppose -w*t + 6*t = -185. Calculate the lowest common multiple of t and 2.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 2*q - 3. Determine l(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from txtxxmmttxxx.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 552703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1283\/777 - 4\/259. Which is the third biggest value? (a) u (b) 1\/6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89544 and 208.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 751*a**3 + a. Let u be x(-1). Let f be u\/(-18) + (-2)\/(-9). Differentiate -8*h**4 + 42*h**2 - f*h**2 - 5 wrt h.\nAnswer: -32*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68666 and 9035.\nAnswer: 343330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366837 = 5*o + 117*w - 120*w, 4*w = 4*o - 293460. List the prime factors of o.\nAnswer: 3, 37, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-1196))\/(1\/((-20)\/(-4))). Is 1 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 25.12048 centimeters?\nAnswer: 0.0002512048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1262 (base 7) in base 14?\nAnswer: -269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2679.9 and 25000.\nAnswer: 27679.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 577, 1404, 2561, 4048?\nAnswer: 5865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*m - 3*m - 289, 2*t - m - 118 = 0. Let b be (-4)\/6 - (-1508)\/39. What is the greatest common divisor of b and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5427975 and 4853?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 2220?\nAnswer: -2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n - 27*n + 12*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i + 12. What is the lowest common multiple of 24 and x(-5)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(190) + (-2*(sqrt(190) - -1*sqrt(190)) - sqrt(190))))\/(sqrt(240)\/sqrt(6)*-4).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 673 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 1\/12*y**4 - 1\/30*y**5 + 31\/105*y**7 + 0*y + 10*y**2 + 0 + 59\/2*y**3 + 0*y**6. Find the second derivative of i(m) wrt m.\nAnswer: 744*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4 - 3 + 1 - 6 + 5*s. What is the units digit of d(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 145363?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(468) + ((sqrt(468) + -1)*5 - sqrt(468)) + sqrt(468) + sqrt(468) + -5)**2*-3.\nAnswer: -69471 + 3780*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 666 and 370.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 8. Let c = 6 + z. Let r(o) = -10 + o - 4 + 5 + 7. Calculate r(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*m)\/m*m\/m**(-3\/2)*(m**0*m)**(-4\/29) assuming m is positive.\nAnswer: m**(137\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 8*d**3\/3 + 5. Let o(h) = -h. Calculate f(o(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 18.360696 months?\nAnswer: 0.01530058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/575817380?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-26)*(-376)\/(-2538)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -13. Let w(o) = o - 5. Let g(r) = -36. Let a(f) = 143. Let p(l) = a(l) + 4*g(l). Calculate u*w(s) - 9*p(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52623, -105264, -157893, -210510?\nAnswer: -263115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**6\/18 + 49*v**5\/120 - 19*v**4\/36 + 2*v**3\/9 + v + 6. Let f(r) = 0. What is r?\nAnswer: 0, 2\/5, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-8 - 3 - (-23 - -12)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*r + 2*r**5 - 8*r**5 + 0*r**5 wrt r.\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86400 and 6588000.\nAnswer: 26352000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 216, 210, 200, 186, 168?\n\"Answer: -2*n**2 + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d3b12 (base 15) to base 2.\nAnswer: -101011101001001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 992, 2605, 4218, 5831, 7444?\nAnswer: 9057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*g - 413654, -g - 7190*l = -7194*l - 82702. What are the prime factors of g?\nAnswer: 2, 7, 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpniifkfpnkkmfk. Give prob of sequence kip.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12130 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 3 + -6 + -2 - -26?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 648 + -184. Let s = o - 253. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i**(-1)*i))*i*i\/((i\/(i\/i**(-1\/10))*i)\/i)*(i**(-2\/7)*i)**(-1\/11) assuming i is positive.\nAnswer: i**(1567\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 113 = 14*j - 11*j, n - 5 = 0. Let p be (-4)\/18 - (-164)\/9. What is the greatest common divisor of j and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4725 - -28265\/6. What is the common denominator of -15\/574 and d?\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 494 = v - 443. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-26) + 1444\/(-247).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-8528)*-13*(-3)\/3\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 21 = -5*g. Suppose -3*m - 2 + 7 = -g*n, -4*n = -8. Solve -4*w + 5*i + 5 - 46 = 0, -m*w = 5*i - 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + -76 + (19 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 104 = 16. Suppose 13*a + 67 = 106. Solve 0*n + 4*n + f = 5*k, -n - 13 = -a*k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 214 - -580. Calculate the least common multiple of 16 and y.\nAnswer: 6352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 10. Let q(p) = -2*p - 19. Let o(m) = 4*q(m) + 9*v(m). What is the first derivative of o(s) wrt s?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2 - 12) + 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 2 - 2)*(59*k - 116*k + 51*k).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 421 = 3*z, 493 + 1570 = -5*b + z. Put 3, b, -0.4 in increasing order.\nAnswer: b, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1141, 3\/2, -0.5, 0.2, 40 in increasing order.\nAnswer: -0.5, 0.2, 3\/2, 40, 1141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - t = 0, -4*r + 6 = -3*t + 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*j - 622, -103 - 57 = -h + j. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1187.784cm to micrometers.\nAnswer: 11877840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/10)\/s**(4\/13))**(-5\/9) assuming s is positive.\nAnswer: s**(1\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 2\/1035?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -2. Suppose -k = -l*i + 15, -4*k = 2*i - 10 - 18. Suppose -3*z - z = 4*r + i, 14 = 4*r - 2*z. Solve r*h = h + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -13*t + 944. Let c(y) = 16*y - 958. Calculate -4*c(s) - 5*v(s).\nAnswer: s - 888","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 12398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 831*z**3 + 134*z**2 - 1?\nAnswer: 4986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3233*r + 3092*r = 987 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*u + 3*u - 22, -u + 42 = j. What are the prime factors of u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 102 = -i, 3*a = 8*i - 3*i + 70. Solve 4*g + 0*w = 3*w - a, 4*g + 16 = 2*w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 10*h**2 - h + 9. Let g(l) = 6*l**2 - l. Let v be g(1). Suppose 10 = -3*x + v*w, x - 4*x + w = 26. List the prime factors of r(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 5288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 430 - 428.5. What is the third smallest value in 3, -4, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -18.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(5700)*2 - sqrt(5700)) + sqrt(5700))*-5)\/((-1*sqrt(12)*-2 - sqrt(12))\/(1*sqrt(324) + sqrt(4))).\nAnswer: 6000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -53811 (b) 0.2 (c) -0.1486\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 150 = -21*f. Suppose 4*i - 10 = -t, 2*t + 0*i = 4*i + 20. Solve -5*z - t - f = -3*r, -5 = z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21, 0.5, 2\/5, -1\/6?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 14*u**2 + 1. Let n = -30 + 71. What is the remainder when n is divided by t(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101840412 divided by 6?\nAnswer: 16973402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.016?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(187) - -4*sqrt(187)*-2)\/((sqrt(110) - -5*(2*sqrt(110) - sqrt(110) - sqrt(110)))\/((sqrt(70) - (sqrt(70)*2 + sqrt(70)) - sqrt(70))\/sqrt(7))).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -723375*q**2 - 3 - 5*q + 361709*q**2 + 361721*q**2. Let l(c) = 27*c**2 - 3*c - 2. Calculate -5*l(y) + 3*u(y).\nAnswer: 30*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/7 + 1440*k - 10077\/7.\nAnswer: -3*(k - 3359)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.39 + -0.18. Let d = u - -1.36. What is d rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**2 - 8*s + 1. Let r = 5 + -1. Let g(j) = 0*j**2 - 3 + 2 - j + 0 - j**2. Let l(a) = r*g(a) - c(a). Give l(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 1534958?\nAnswer: -7\/1534958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1232\/191111?\nAnswer: -1232\/191111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -40264 > -0.44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -5*a**2 + 8 + 27 + 5*a**2 + a**2. Let t(y) = -106*y. Give p(t(u)).\nAnswer: -212*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**17\/(a**(2\/15)*a)*(a\/a**(-1\/6))\/(a*a**(-1\/7)) assuming a is positive.\nAnswer: a**(3397\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 37*a**2 + 546*a + 392. Give r(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -465*o**3 + 5*o**2 + 5*o + 9. Let q(g) = 234*g**3 - 2*g**2 - 2*g - 4. Calculate -2*a(t) - 5*q(t).\nAnswer: -240*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10358956757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -255106690 to the nearest one hundred thousand.\nAnswer: -255100000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 210083803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6463 + -6493. Let i be (2 - 0)\/(3 + -4). Sort q, i, -4 in descending order.\nAnswer: i, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4702 is divided by 448.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -372, -1442, -3216, -5688, -8852, -12702, -17232, -22436?\nAnswer: -28308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 45416 = 45413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.453 + 0.47. Let o = 0.417 - j. Which is the closest to 2? (a) -2\/5 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772908 is divided by 30916?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 694604914?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-9)*g*g\/(g*g**4*g)*g*((g\/(g*g**(10\/3)))\/g)\/g**13 assuming g is positive.\nAnswer: g**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -991*w**3 - 13406*w**2 - 42007*w + 22932.\nAnswer: -(w + 7)**2*(991*w - 468)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 times -0.3?\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28918081 = 5*u + 15983639. Let p be 111862410\/(-7) + (-8)\/(-28). Let l = u - p. What is l rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 731 is divided by 105?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) 1 (b) 4 (c) -35 (d) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*n - 389. Suppose -n = -3*m + h - 37, -5*m + 3*h + 588 = 0. What is the greatest common divisor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 570001215 by -190000405.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 70. Let j be (282\/(-4))\/(d\/12). Which is bigger: j or 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/5)*o*o**25*o*o**(-2\/9)*o**1)**(-3\/19) assuming o is positive.\nAnswer: o**(-1286\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -111826 divided by -374\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - y**2. Let c be t(0). Let x be (3 + c - 3)*-1. Solve x = -q - 0*q - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5225 and 3872825.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -8*i - i + 8*i - 1. Let f(j) = 28*j + 35. Let a(h) = f(h) + 35*y(h). Let u(m) = 5*m**2. Give a(u(b)).\nAnswer: -35*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5495 is divided by 5460.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-8)\/12)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from umsvkvkvauss.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-2) - (-333)\/37 - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/4881 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -537 divided by -1.\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**8\/280 + j**4\/6 + j**3 + 27*j**2. Let f(u) be the first derivative of w(u). What is the derivative of f(c) wrt c?\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -3 - (24\/3 + (-420)\/(-49) + -11)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*g - 17*g + 10*g)*(-3*g + 3*g - g**3) - 2*g**4 + 0 + 0 + (-3 + 3 + 1)*(2*g**4 + 4*g - 4*g) - g**4 - 3*g**4 + 3*g**4.\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**2*c*s**2 + b**2*s**3 + 7*b**2*s - 3*b**2 - 5*b*c*s**3 + 138*b*c*s + 408*b*s**3 + c*s**3 wrt s.\nAnswer: 6*b**2 - 30*b*c + 2448*b + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2 - 9*p - 9. Let v(f) = f**2 - 2*f - 2. Let c(s) = 2*r(s) - 9*v(s). Let z(d) be the second derivative of d**4\/2 - 8*d. Give c(z(u)).\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + -204 - (2 + -79)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-3)*390\/20. Let m = -180\/7 + r. What is the second smallest value in m, 3\/5, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffsm when four letters picked without replacement from ssffsfsfsm.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4613\/5538 - -1\/2769. What is the closest to k in -2\/11, 2\/79, 5?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 85876? (a) 0 (b) -1 (c) 0.3 (d) 5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 113848537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0*731062\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 129*c.\nAnswer: 3*c*(c - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 3)*4\/(-12). Suppose i*h - 74 = -2*a, 6*a - 2*a = -5*h + 149. What is the greatest common factor of a and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, -49, -177, -431, -853, -1485, -2369?\n\"Answer: -7*t**3 + 5*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*c + 5*f, -5*c - 3*f = -c - 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 2 - (-434)\/(-105)) + 14744\/1455?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 5*a + 6. Let o be v(7). Let p be 2\/o + 4 + (-9)\/(-4). Suppose 44 = p*r - 10. What is the nearest to -1 in -0.3, -0.2, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -1)*9\/24*(-8)\/(-6). Let x(k) = -9*k**3 + 3*k + 1 - k - 7*k**3. Calculate x(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.49 + 13.99. Put j, 18, -0.4 in decreasing order.\nAnswer: 18, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-4 - (-11 + -2) - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 2*i**2 + i**4)*(9*i + 10 + 11 - 20).\nAnswer: 9*i**5 + i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 - 20.96. Let u = v - -19. Let j = -0.15 - -4.15. What is the nearest to 2\/7 in j, u, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, f: 2}. Give prob of sequence foo.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7686 and 448?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*b - 51, 6*t - t + 2*b = -78. Let h be 21\/5 + t\/80. Solve -h*y - 2 = -6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111661787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i**2 - 1. Let x(z) = -z**3 - 2*z**2 + 2*z - 4. Let r(y) = y**2 - 4*y - 3. Let n be r(4). Let w be x(n). Calculate k(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w. Let u be 0\/((-9)\/(-3) + 0). Let h(d) be the third derivative of u + 1\/24*d**4 + 2*d**2 + 0*d**3 + 0*d. Determine h(m(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u*u**(-4))\/u)\/(u**(-6)*u*u))\/(u**(-2\/7)*u)**(-1\/62)*u**(-7\/2)\/u**(-6)*(u**0)**(-2\/53) assuming u is positive.\nAnswer: u**(979\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 7*(-48)\/(-56). Let a(s) = -73*s**2 + 30*s**r - 1 - s**3 + 3*s + 37*s**2 - 2. What is a(-3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.24, 2\/7, -2\/17, -3 in descending order.\nAnswer: 1, 2\/7, -2\/17, -0.24, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.7? (a) 4\/5 (b) -0.5 (c) 0.2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*z = -0 + 5, -3*y + 4 = 4*z. Suppose -2*q = -y - 2, -q - 87 = -4*w. Let c be 2\/(-3)*(-99)\/w. Solve c*f - 8 = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, r: 6}. Give prob of sequence rrrr.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -5 + -10 + 3 + (-4 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -357\/4 + 89. What is the closest to a in 2\/15, 5, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10012840 rounded to the nearest 100000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1101 - 103?\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30768 + 1639. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -42, -76, -124, -186?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -3) + -2 + (1 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 24 = 3*z, 0*n = -n + 3*z + 12. Calculate the remainder when 42 is divided by -4 - 16\/(-12)*n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**3 - 4*f**2 - f - 1. Let l(s) = 2*s**3. Let q(n) = -2*a(n) - 3*l(n). Does 79 divide q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*t - 42*t = -95*t - 22673 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 12. Let a = 13 - w. Calculate the smallest common multiple of a and 15\/(-10)*64\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1824169, 1824322, 1824475, 1824628, 1824781, 1824934?\n\"Answer: 153*w + 1824016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 11 = -4*k, -u + k = 2*u - 5. Let l = 2 + u. Suppose 12 + 12*z - 5*z**2 - 12*z**3 - l*z**4 - 9*z**2 + 5*z**2 = 0. Calculate z.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*z + 17*z + 3. Let l be -54*(z - (-25)\/(-10)). Is 0 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 7 + 2)*(2*h - 5*h + 2*h) + (-17 - 301*h + 17)*(1 - 2 + 2).\nAnswer: -304*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 19370?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.4, -753\/5, 3, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*g - 3, -10 = 5*g + 5. Let y be -8*b*(-1)\/4. Let l = y - -13. Solve 0 = -2*h + l*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 6*u**2 + u + 7. Let z(q) = -q**3 + q**2 + q. Let m(f) = 2*f**3 - 9*f**2 - 2*f. Let r(d) = m(d) + 3*z(d). Let x be r(-6). Calculate p(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135\/(-225) - (-147440)\/25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*p + 67*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*s + 63 = -216*s, 32 = z - 3*s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9000\/(-216))\/(2\/1142352). Round v to the nearest one hundred thousand.\nAnswer: -23800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22978979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225774126 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.07 - -1.27. Let x = 16.5 + -15.5. Which is the nearest to x? (a) r (b) 7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -10*h + 1. Let w(r) = -17*r. Determine w(q(u)).\nAnswer: 170*u - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -15*g**2 - 83*g**2 - 56*g**2. Let t(j) be the third derivative of -j**4\/24 + 26489*j**2. What is n(t(v))?\nAnswer: -154*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -0.04 (b) -0.3 (c) 0.03 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6 (b) -1919 (c) 1 (d) -2\/7 (e) 3\/2 (f) 5 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + 1 - (-4)\/(-1). Find the second derivative of -4*z**5 + o*z**5 + 4*z + 4*z wrt z.\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 + 9*j + 1598. Is h(49) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -1. Let l = -38 - -35. Is 6*(l + 45\/a) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5895*a + 5914*a + 38 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -68*a + 1. Let w be u(0). Put 32, 0, w, 5, -5 in ascending order.\nAnswer: -5, 0, w, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 16*h + 26. Let k be l(-14). Let o be (-2)\/(-6)*11 - k\/6. Suppose x = o*x - 399. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqglqlqgq. What is prob of sequence gg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1000*v**5 - 48*v**4 + 50*v**4 + 2058*v**5 + 2*v**5 - v + v + (-1 + 4 - 2)*(-3*v - v**5 + 3*v).\nAnswer: 3059*v**5 + 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 6*j + 17*j + 4 - 10*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2224 + -269. What are the prime factors of w?\nAnswer: 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43074982?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + -1 + 6)\/1. Suppose t*w - 32 = -5*w. Differentiate -19*y**w + 3*y**2 - 3*y**2 - 32 + 5 with respect to y.\nAnswer: -76*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 3:54 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.1 (b) 3 (c) -3478\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(500))*-1)**2 - ((sqrt(500) + 0)*1 - sqrt(500) - (2*sqrt(500)*-5)**2).\nAnswer: 500*sqrt(5) + 62525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*sqrt(1584) - ((sqrt(121) + -3*sqrt(121))*5)\/sqrt(11).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 446 - 442221?\nAnswer: -441442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**4\/24 + 13*i**3\/3 + 7*i**2. What are the prime factors of g(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 204*l + 3052. What is the remainder when q(-8) is divided by 94?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**3 + 13*j**2 - 7*j**2 - 6*j**2.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 15f82?\nAnswer: -15f85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 730 and 7300.\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/2493522?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120 + -1078\/9. Let q = -1587 - -1586.4. Which is the third biggest value? (a) -2\/15 (b) q (c) x (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-1)\/(-1))\/2. Let r(f) = -f**3 - 5*f**2 + f - 4. Let h be r(-5). Let k be h\/27*(-1 + -8). Solve -k*s = -q*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1)*(-6)\/24*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -987339\/86 - -11481. What is the common denominator of 97\/1720 and n?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 7*a + 17. Let q be m(17). Let y be 17\/(q\/(-114)) - (-2)\/(-3). Let p be ((-3)\/2)\/((-6)\/8). Calculate the greatest common factor of y and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**4\/4 - 10*d**3\/3 - d**2 - 5*d - 2. Is 7 a factor of c(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**3 - 12*p + p**3 + 13*p + p**3 as j*p + g*p**2 + k + f*p**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-5) + (-1294)\/(-60) and -1*12\/6 - 375\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 3, 0.3, -0.04, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**2 - 10. Let s(x) = 2*x**2 - 3. Suppose 4*n + 2 = -10. Let v(b) = n*a(b) + 10*s(b). Let m(r) = -3*r. Give m(v(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -0.0021336, -1, 2\/13?\nAnswer: -0.0021336","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80570628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*x + 5*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8792000 rounded to the nearest 100000?\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 25\/70*-17) + -2. Put c, -2\/7, 14, 1, -0.3 in decreasing order.\nAnswer: 14, 1, c, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 3*t**2 - 3*t. Suppose 5*h - k = 6, -4*h + 0*k = -2*k. Let z be j(h). Which is greater: z or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 6:53 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -19163 = 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 4*c + 20, -p + 5*c = 2*p + 25. Suppose p = 5*b - 8*b + 12. Suppose -2*a + 180 = -b*o - 18, 0 = 4*a - 4*o - 376. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/150*(-40)\/(-18))\/(392\/(-42)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 434.9495 + 0.0505. Let j = -434.6 + f. Which is the closest to -10? (a) j (b) 0.5 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1002 - -1651. Let t = 1121 - f. What is the tens digit of (t\/10)\/(4 + 54\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 495 - 198. Suppose -2*o - 3*o = -5. Let i = 26 + o. What is the highest common divisor of y and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 + 22*q**2 + 2*q**2 + 23*q**2 + 21*q**2.\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7920) + sqrt(7920)*4)\/(sqrt(5) - sqrt(45)\/(sqrt(9)*-2)).\nAnswer: 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3816, 7571, 11272, 14919, 18512?\nAnswer: 22051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-957)\/(-522) + ((-2)\/(-12)*2 - 1). Let h(f) be the second derivative of -m*f**3 + 0 + 3\/4*f**4 + 12*f + f**2 + 1\/30*f**6 - 1\/4*f**5. Solve h(d) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4839*v**4 - 275*v**2?\nAnswer: -116136*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57105346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -105?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -331, -333, -337, -343, -351?\n\"Answer: -d**2 + d - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6362 + 6361.9. Which is the closest to l? (a) 1\/8 (b) 1\/2 (c) -5 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*s = -19, 2*v - 3*v - 4*s - 3 = 0. Suppose 2*g - v*a + 15 = 7*g, 4*a = 5*g - 24. Solve 18 = -2*u + 3*i, 5*u + g*i = 6*i - 23 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13674, -27365, -41108, -54927, -68846, -82889, -97080, -111443?\nAnswer: -126002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g = 3166. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 224296618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, 2, 30, 4, 663?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-6) - 0)*-2. Suppose -8 + u = -b. Let s = -3710 + 3713. Solve 0 = 2*c + l - 2, s*l + 23 = b*c + l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1600 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 180\/(-54)*(-7)\/((-105)\/9). Suppose 4*q + 3 = 19. Let a be ((-8)\/q*y)\/2. Solve 2*x + 2 = 5*r, -a*r = -4*r - 2*x + 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -39*v. Let b be n(2). Let x = -388\/5 - b. Is x >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 124 or -1151?\nAnswer: -1151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 544738 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18570, -37149, -55736, -74331, -92934, -111545?\nAnswer: -130164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 51*j**8\/56 - 5*j**4\/12 + j**2 + 37*j. Find the third derivative of v(u) wrt u.\nAnswer: 6120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 times -163.58?\nAnswer: 556.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4859 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-9))\/((-1815)\/396*4\/15).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/20*105\/14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-16)*4\/1. Let g = 15 + -7. Let k = s + g. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**3\/4 + 51695*d**2\/4 - 662501375*d\/4 - 144837335375\/4 = 0.\nAnswer: -215, 25955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -20485441 (base 9) in base 5?\nAnswer: -10010434003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4 = -g. Let b(u) = 2*u**3 + 9*u**2 + u - 9. Let d(r) = -2*r**2 - 10*r + 8. Let c be d(-6). Let k be b(c). Which is bigger: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9445814.\nAnswer: 2, 7, 674701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - -16. Suppose 0 = -4*t - 54 - 2. Let i = t + s. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9757 and 2\/15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -21. Let f(b) = 3*b - v*b**2 - 5*b + b. Calculate f(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9035 + 9034. Let x(a) = -a**3 - 2*a**2 + 5*a + 2. Let v be x(-3). Suppose o - 3 - 1 = 0. Sort h, v, -7, o in ascending order.\nAnswer: -7, v, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 21242729\nAnswer: -42485458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/19 + 10*h\/19 + 100\/19.\nAnswer: -2*(h - 10)*(h + 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 10:35 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + sqrt(72) + 0 - sqrt(72).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -8338 (b) 4 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -163? (a) -1 (b) 621 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4*(-20 + 2). Let p = l + -6. Suppose -4*s + 6*r - r = -50, -2*s + 36 = p*r. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 10. Suppose 3*t = -5*m + 22, -483*m - 2*t = -486*m + 17. Suppose -3*z = 54 - 135. Sort z, m, x in decreasing order.\nAnswer: z, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -72. Let t = 22.2 - a. Let z = 5.98 - -0.02. Which is smaller: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = 3*o. Put 1, 3, 13, o in descending order.\nAnswer: 13, 3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 1141?\nAnswer: 3\/1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-12))\/(10\/(-40)). Let a = 0.3 + 0. Let l = a - 0.1. Sort 4, l, q in decreasing order.\nAnswer: 4, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 8*x**2 - 5*x + 10. Let l be t(-7). Let g be (4 - 8)*2\/l. Solve 0*r - 2 = g*a + 2*r, 5*a + r = 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 2 - 2 = 0. Let u be (2 - i)\/2*(-65)\/13. Let s(h) = 4*h**2 - 4*h - 11. What is the units digit of s(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.189155 minutes to microseconds.\nAnswer: 371349300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((211 - 237) + (4 - 1))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 534183 (base 9) to base 6\nAnswer: 10452120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6036755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*d + 1733, d - 867 = -y - y. Suppose 5*s = 4*b - 3392, b + 2*s - d = -2*s. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**5\/60 + 37*m**4\/24 - 29*m**3\/6 + m**2. Let p = 949 + -922. What are the prime factors of y(p)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -197\nAnswer: -197.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 200?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*x)*(2 - 3 - 3) + (2 - 3 - 1)*(x - 2*x + 0*x) - 5*x + 2*x + 0*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01321586601 to five dps.\nAnswer: 0.01322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 + m - 1. Let w(b) = -b**3 + b**2 + 2. Suppose 4*g + 4 = 2*g. Let y(h) = g*j(h) - 2*w(h). Solve y(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 0, 3\/5, -34\/13?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*d - 16 + d**2 + 128*d + 127*d + 130 + d**2 - 382*d.\nAnswer: 2*d**2 - 2*d + 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 860256 divided by 2088\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7163 divide 3074560351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 12:44 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(750) - sqrt(750))\/(-2*sqrt(294))*-1)**2 + -2.\nAnswer: 2733\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**4\/6 + 7*y**3\/6 + 824*y**2. Let m(b) = -2*b - 3. Calculate 9*m(j) + 4*n(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25022967.\nAnswer: 3, 8340989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 2:03 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14520 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - w = -7*q - 82058, 3*w = q - 41015. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 3*m - 16, 3*p = 2*m + 2 + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24, -210, -896, -2268, -4560, -8006, -12840, -19296?\n\"Answer: -39*u**3 + 8*u**2 + 15*u + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 20, -5*j = -0*y + 3*y - 8. Put j, 1, 23, -2 in decreasing order.\nAnswer: 23, j, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 11*u**2 - 2*u - 18. Let c be a(-11). Solve -z + 4*b = 14, -c*z - 8 = -5*b + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -15 - ((14 + -12 - -2) + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + t**2 + t + 18. Let i be g(0). Let r be (-14)\/(-7) - 32\/i. What is the third smallest value in -0.4, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13758 or 13761?\nAnswer: 13758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -49 (base 14) to base 8\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044722 plus 0?\nAnswer: -0.044722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8211999?\nAnswer: 3, 2737333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccecce. Give prob of sequence ce.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3269186, -3269185, -3269184, -3269183, -3269182, -3269181?\nAnswer: -3269180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 15 = -5*l, -42*r - 21 = 4*l - 41*r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -2c?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 5:58 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -122, -198, -290, -404?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.918*0.03.\nAnswer: -0.20754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-26)\/o**(-3\/7) assuming o is positive.\nAnswer: o**(-179\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2. Let s(t) = 12*t - 3. Let w(v) = 14*v - 4. Let z(i) = 5*s(i) - 4*w(i). Give p(z(m)).\nAnswer: 16*m**2 + 8*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -674*n**2 + 2. Let f(d) be the third derivative of d**5\/30 + 221*d**2. Calculate p(f(o)).\nAnswer: -2696*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 + -126. Suppose j*i + 23 = d, -3*d = -4*d + i + 8. Suppose 3*s + 0*s - 5*z = 28, -5*s + d*z = -36. Solve 4*o - 2*o - s = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8*d**3 - 13*d**2 + 4*d + 23. Let o be k(-7). Let j(r) = -2106*r + 4207*r - o*r. Let u(h) = 171*h**2. Calculate u(j(c)).\nAnswer: 171*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(7) + 4 + sqrt(21)\/(-2*sqrt(3))).\nAnswer: 2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - -6. Calculate the remainder when 43 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 2)*(70 + 14 - 17)*(-1 - 2 + 12) - 1 - 5 + 5 + (0 - 4 + 6)*(1 + 0 + 1))*(3*n**3 - n**3 - 4*n**3).\nAnswer: -1212*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 12. Let v = -12 - t. Let g(i) = -i**2 - 6*i + 1. Let y be g(-6). Which is greater: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18800 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 12*v**4 - 4*v**3 + 2428*v**5 - 6*v**2 - 2429*v**5 - 43*v**3 + 78*v**2 + 0*v**4 - 36*v = 0.\nAnswer: 0, 1, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/7, -133, -4 in descending order.\nAnswer: 2\/7, -0.4, -4, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 0*j - j**2 + 0*j. Let k = 3 - 14. Let w(l) = -l - 6. Let g be w(-2). Let f(c) = 3*c**2. What is g*f(a) + k*d(a)?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -767969*z + 234 = -768008*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 67*k**2 - 26*k + 2. Is r(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -10. Let l = n - 0. Let a = 3 - 0. What is the third biggest value in -1\/3, a, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**(-19)*k)\/k)*k*k*k*k**(-16\/5))\/(k\/k**(-6))**(10\/11) assuming k is positive.\nAnswer: k**(739\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*t**2 - 42*t**2 + 292*t**2.\nAnswer: 322*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700) + sqrt(1700) + 1)*-5 + (sqrt(1700) + sqrt(1700)*-1 + sqrt(1700))*5)**2 - ((6*-1*sqrt(1700))**2 + -4)) + -3.\nAnswer: -18674 + 500*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4098*c**2*l**2 - 4471*c**2*q - 4*c*l*q + l**3*q + 4*l**2*q wrt l?\nAnswer: -8196*c**2 + 6*l*q + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**6 - d**2 - 1. Let x(i) = 5*i**6 - 5*i**2 - 4. Suppose 4 = -o - 3*o. Let v(b) = o*x(b) + 4*s(b). Find the third derivative of v(a) wrt a.\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2054852.\nAnswer: 2, 59, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + n + 2)*(n + n + 0*n).\nAnswer: 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.083\nAnswer: 0.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 77\/7370*4\/35. Let b = z + -95479\/3350. Let d = 1231\/15 + -492\/5. What is the common denominator of d and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -148 + -1?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 - 0.12. Let t = v + -0.01. What is the nearest to t in 3\/2, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6996?\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -22. Let x = -9 + q. Let n = -0.06 + 3.06. Which is the closest to -1\/5? (a) n (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + 7 - (17 - -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/2))**2*(d*d**(-1))**(-2\/27))**(-4\/9) assuming d is positive.\nAnswer: d**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i - 15*i + 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 12:18 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 16 + 92 - 7)*(-2 + 2 + 1) - 5*o**3 + 4*o**3 + 3*o**3 - 4*o**2 - o**3 + 4*o**2 + (-o**2 + o**2 + o**2)*(-o - 2*o + o) - 2*o**3 + 0 + 0.\nAnswer: -2*o**3 + 101","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-6)*(0 - 3)*(-76)\/(-38)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**5 - 1595*t**4 - 121645*t**3 + 503995*t**2 - 636700*t + 255940 = 0. What is t?\nAnswer: -67, 1, 2, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -331*l - 1242. Let d be u(-4). Solve o = -87 + d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -179*i**2 - 5 - 98*i**2 - 233*i + 33*i**2 + 5 wrt i.\nAnswer: -488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 - (-2431 + (-3 + 2)\/1).\nAnswer: 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.213 * -0.5.\nAnswer: -0.1065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcc when three letters picked without replacement from cxcccxxcccmtcxxxxc?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2. Let g(u) = 3045*u. Determine g(d(p)).\nAnswer: -6090*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**2 + 1025220960*i - 52553900841166080 = 0?\nAnswer: 102522096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6380402 divided by 455743\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(sqrt(228) - (sqrt(228) - (4*(sqrt(228)*-2 - sqrt(228)) + sqrt(228))))*-1)\/(sqrt(84)\/sqrt(7)*-6 + (sqrt(12) - (sqrt(588)*1 - sqrt(588)))).\nAnswer: -44*sqrt(19)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Suppose 9 = 4*f + p. Suppose f*k - 163 = -63. Round k to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v**3 - 325*v**2 - 624*v + 2695. Calculate u(-52).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910 is divided by 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**6\/24 + q**3\/3 + 11294*q**2. Let z(h) = -81*h**3 + 33. Suppose -3*s - 8 = -s. Give s*z(m) + 66*y(m).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -253 - 91. Let t = m + 345. What is the smallest value in t, 2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 4 + (0 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**3 - 2552*f**2 + 25076*f + 27632 = 0. Calculate f.\nAnswer: -1, 11, 628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 - 5*i - 1. Let k(r) = -r**2 - r. Let j(o) = -c(o) + 3*k(o). Determine j(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2559.4 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -3*r**2 - 1\/12*r**4 - r**3 + 0 + 6*r. What is u(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.32332ml to litres.\nAnswer: 0.04432332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -32 + 12 + -50 + 21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -30. Let a be 6*(r\/15 + 1). Differentiate -58 + 4*b - a*b + 64 wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*t - 3*m + 191, t - 5*m = 33. Let d be (-1)\/2*t\/1. Let v = 50 + d. What is the remainder when v is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 35*x - 123. Let b be y(37). Which is smaller: -41 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35076500461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2907248551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 12408992*i + 19247885307008.\nAnswer: 2*(i - 3102248)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 57 (c) 33 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10.7 * 32\nAnswer: -342.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k + k**2)*(142*k**2 - 7*k**3 - 142*k**2) + (-k - k - k)*(-25*k**4 + 2*k**3 - 2*k**3 - 26*k**4).\nAnswer: 146*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7*-4.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-12))\/(1\/(-4)). Let l = 0.1 - 0.38. Let g = -0.12 + l. Sort g, -1\/7, m in decreasing order.\nAnswer: m, -1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 0.5, -0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -995173, -995172, -995171, -995170?\nAnswer: -995169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1058992 = 20430*z + 1167878 for z.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -237 divided by -3?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -5290184005176?\nAnswer: -5290184005175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/2 or -207?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8669, 10696, 12723?\nAnswer: 14750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 13*u**2 + 3*u + 2. Let l be g(-1). What are the prime factors of 2\/12*3*l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (-22 - (3 - 13)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 3:27 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -a4b6?\nAnswer: a4b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22916 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 12*v - 9. Let k be s(11). Let a be k\/20*124\/(-26). Let m = a - -1\/13. Put m, 3, 5 in increasing order.\nAnswer: m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.4 - -23.8. Let z = p + -3.4. What is the biggest value in 0.4, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 2:07 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + s - 36 = 0, 2*u + 2*s - 5 - 7 = 0. Suppose -k = 4*g - u, 0 = 4*k - 2*g - 0*g - 4. Solve -l = -2*w + 9, w = -k*l + 3 - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 12*j**2 + 13*j + 15. Let p be k(11). Suppose -5*w = -8*w + 66. Let t = p - w. What is t rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 187896 and 31425606.\nAnswer: 125702424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20851 (base 9) to base 6\nAnswer: 143544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + 1 - 1 + ((-1 - 1 + 1)*(1 - 3 + 4) - 357 + 199 - 361)*(-4*g - g + 3*g)*(-g - 2*g + 5*g).\nAnswer: 2085*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2834*n + 1589 = 2703*n + 8139 for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 3:38 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 8) in base 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.372416388 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86163 or 86162?\nAnswer: 86162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2357 = 1272*a - 8717 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 13*c**2 + 2*c - 20. What is i(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 4*c**2 + 3*c + 4. What is the units digit of z(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.24212 millilitres to litres.\nAnswer: 0.09524212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/4)\/((-2)\/(-4)). Let o = 2357 + -2350. Suppose -23 = -o*b + m. Solve -2 = b*j - 6*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*n - 5510 = 21*n for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17205013b - -5?\nAnswer: -172050136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 6675660?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 304893, 609785, 914677?\n\"Answer: 304892*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59910, -119810, -179710, -239610, -299510?\nAnswer: -359410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18939 or 18943?\nAnswer: 18943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101747 (base 10) to base 9.\nAnswer: 2058273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 15*b**2 + 2*b - 32. Give c(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 - 7*i**2 - 9*i - 10. Let p be g(7). Let d = 211 + p. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110111000000011110010 - -1?\nAnswer: 11110111000000011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + x + 4)*(382 + 3*x**2 - 204 + x - 192 - 2*x**2 - 82*x**2 - 20*x**2 + (-x - 3 + 3)*(3*x - x - x)) as k*x**2 + v*x**3 + g + t*x and give v.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1731 or 1689?\nAnswer: 1689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9351 (b) 2\/11 (c) 0.1 (d) 9 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (28734286\/(-882))\/(-1 + 16\/18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 36, 46, 82, 150, 256, 406, 606?\n\"Answer: c**3 + 7*c**2 - 18*c + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101111000100001 + 0?\nAnswer: 110101111000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 35 - 23 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-18)*(4\/(-3))\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/3, 4\/145.\nAnswer: -4, 4\/145, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 572 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 1:13 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 7:35 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7043411?\nAnswer: 7043411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-40 - -24) + 2 + (7 - 8).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*m + 16*m + 17*m + 16*m + 537*m**2 to c*m**2 + o*m + p and give c.\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 19. Let j be (2 + 2)*(-5)\/(-4). Suppose -k = -2*t + 15, 0 = -j*t + 4*k + 19 + 17. What is the remainder when c is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 70, 27, -124, -383, -750, -1225, -1808?\n\"Answer: -54*v**2 + 119*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1624 divided by -111?\nAnswer: 1624\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200 and 8175.\nAnswer: 65400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sspsps. Give prob of picking 3 s and 1 p.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26136 - 26134. Determine k so that -1\/2 + 1\/3*k + 1\/6*k**g = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + -3 + -6 - (-4 - -6 - 8)) + 17.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -1\/29 (b) -12 (c) -1 (d) 1 (e) -3\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4c44a5 (base 13) to base 15\nAnswer: 2646a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -72146 (b) 1.9 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = -4*z - 9, 9 = -3*z. Let v(b) = -b**2 - 8*b - 5. Calculate the lowest common multiple of v(-5) and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714687749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -31.\nAnswer: 15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzh when three letters picked without replacement from {z: 5, h: 2, b: 5}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74 or -7710\/103?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -50, -103, -156, -209, -262?\n\"Answer: -53*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 12 - (6 + -8) - (-10 + 111)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -12*g + 7*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 311297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3110.12 + 3110. What is the closest to g in -2, -3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15930421553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3025*x**4 - 5830*x**3 - 24636*x**2 - 1768*x - 32 = 0.\nAnswer: -2, -2\/55, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 13*o - 423. What is the units digit of w(39)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-4)\/18*3. Let l(v) = 6*v - 4*v - x*v + 2*v. Let r(q) be the second derivative of q**3\/3 + 2*q. What is r(l(c))?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/4*(19 - (-30 + 53))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 518.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 340 and 1500.\nAnswer: 25500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 2*s**4 + 3*s**2)*(6*s - 53*s - 13*s) + s**5 - s**5 - 2*s**5.\nAnswer: -122*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 11.7 (b) -0.5 (c) 6723\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198898 by -99449.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -1, 2 in increasing order.\nAnswer: -1, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/6*(-12)\/(-10). Suppose -2*h = -2 - 2. Let v(t) = 4 - h*t + 3 - 1. Give v(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 32. Let i be 3*(5\/b)\/5. Let t = 4.8791 + 0.1209. What is the nearest to 0.1 in -5\/3, i, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11351, 13566, 15767, 17948, 20103, 22226?\n\"Answer: -r**3 - r**2 + 2225*r + 9128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 30361\/60 - 506. Let u(t) be the third derivative of -5*t**2 + 0*t - 1\/60*t**5 - 1\/24*t**4 - f*t**6 + 0*t**3 + 0. Give u(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 36 = 172. Calculate the greatest common divisor of f and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47517709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24791170 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 20*g**2 - 17*g - 91. Let k be s(21). What is the units digit of k*(1944\/(-14) - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 9*o = -8*o - 1, 5*o = 4*t + 33. Find the common denominator of t + 388\/(-204) + (2 - -3) and (-46)\/(-30) - (-2 + 1).\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -3*o**5\/16 - 7*o**4\/16 - o**3\/4 - 5*o. Factor v(x).\nAnswer: -3*x*(x + 1)*(5*x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122120 by 253.\nAnswer: -122120\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 - 79. Suppose 25 = 10*h - v. Solve h*s - 20 = 9*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 16965.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n*n**(1\/6)*n)*n**5*(n\/(n**(-1)*n))\/(n**(-6\/7)\/n*n)*(n*n**(-1\/9)\/n*n*n**0)\/((n*n**(-1)*n)\/(n*n**(-6))) assuming n is positive.\nAnswer: n**(199\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -13*h + 62. Let d be p(5). Let g be (d - 342\/(-66)) + 4\/(-22). Solve g*s + 0 = 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -3\/7 (c) 5 (d) 1\/7 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -597c?\nAnswer: -5977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t**2 + t + 1. Let s(f) = -11*f**2 + f + 2. Determine 3*s(i) - 5*w(i).\nAnswer: -3*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 bigger than 440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10211 (b) 0 (c) -16\/823\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 144 + 7?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 7:16 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*h - 1 = -3, 4 = -u - 4*h. Suppose -3*v = 2*r - 9932, u*r = -4*v + 2*r + 13266. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**4 + 7*s**4 - 5*s - 2*s**4)*(-54 - 51 + 93).\nAnswer: -120*s**4 + 60*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6*b = -108. Calculate the remainder when b is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 + 22030*h\/7 - 176368\/7.\nAnswer: 2*(h - 8)*(h + 11023)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - (-1 + -1) - -4. Suppose -6*a + z*a + 16 = 0. Let v(h) = h**2 - 5*h + 4. Determine v(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 - 8*a**2 + 66*a + 165. Give m(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 2*h - 1. Suppose 0 = 2*j + 4*a - 7 + 1, j - 2 = -a. Let u be s(j). Let p = -6466 - -6470. Solve 4*o + p = -3*q, 0*q - 2 = 2*o - u*q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -274, -271, -266, -259, -250?\n\"Answer: i**2 - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/13)\/(-5) - (-48)\/26. Suppose 6*f = m + 3*f - 4, -m = p*f - 4. Suppose -4*j = -m*k - 6*j + 82, 4*k + 4*j - 72 = 0. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4652873623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j. Let g(b) = -26*b + 11. Let t(v) = -26*v + 11. Let m(x) = 3*g(x) - 2*t(x). Let c(r) = -5*r + 2. Let f(l) = -11*c(l) + 2*m(l). What is f(u(a))?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/14 (b) -9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 20813, 7, -19 in increasing order.\nAnswer: -19, 5, 7, 20813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 203239422 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 728109645 to the power of 1\/2, to the nearest integer?\nAnswer: 26984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 12. Suppose 0 = -3*l - l - f. Which is smaller: -7\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/(-5) - (-3)\/15. Let z = c - -9. Solve -z*m - 3 = -3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -12*x + 228. Calculate a(30).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162735 is divided by 81352?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3511, 14076, 31683, 56332?\n\"Answer: 3521*c**2 + 2*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21080316\/5 or -4216062?\nAnswer: -4216062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11\/7 + -62\/35. Which is the second smallest value? (a) p (b) -1.6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 15. Suppose -3*k + 46 + 14 = 0. What is the remainder when k is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18125.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -172513 - -3?\nAnswer: -172510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 500 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/(4\/(112\/(-6))). Suppose 4*f + u = 442. Suppose 4*l - 32 - 38 = 2*p, 0 = -5*l + 4*p + f. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/2 - 7\/2*-38. Suppose 7*x - l = 1014. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**4\/11 + 18*w**3\/11 + 60*w**2\/11 + 8*w + 48\/11 = 0?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1138 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 52*y + 5. Let a(z) = -z**2 + 54*z - 6. Determine 5*a(v) + 6*b(v).\nAnswer: v**2 - 42*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by (39\/91 + 2007\/21)\/(15\/40).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*j**2\/5 - 88*j\/5 - 8\/5 = 0. What is j?\nAnswer: -2\/3, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -705984\/13 or -54306?\nAnswer: -54306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - n = -12, -3*h + 2*h - n = 0. Suppose 4*g = 2*g + 4. Suppose -g*s + 133 = h*u, 5*s + 10 = u - 23. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342993 is divided by 969.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -83*h**5\/20 + 37*h**2\/2 + 12*h - 4. Find the first derivative of i(y) wrt y.\nAnswer: -249*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**2 + 20148*g + 20147 = 0.\nAnswer: -20147, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 2*b - 1 - 13, 0 = 5*d - b - 21 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 53, 39, 15, -25, -87, -177, -301, -465?\n\"Answer: -h**3 + h**2 - 10*h + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99965 and 219923?\nAnswer: 1099615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k + 6 = -3*b, 4*b + 8 = k. Let w be (-8)\/(1*b) + (-161)\/46. Find a such that -1\/4*a**3 + 3\/4*a**2 - w*a + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 7 = 4*h, -3 = -168*w + 171*w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -7 + -8 + 17\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((7 - 0) + -11)*(-7)\/2. Let i be 0 + 7\/(t\/18). Suppose r = 5*r - 72. What is the highest common divisor of r and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2068, -4, 5, -15, -66 in decreasing order.\nAnswer: 5, -4, -15, -66, -2068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(1\/8)\/b)\/b**(-4)*b**(-1\/8)*b*b**(1\/4) assuming b is positive.\nAnswer: b**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 1. Let h be a(-3). Let i(r) = -3*r**h - 1 - 2 + r**3 + r - 1. Let z be i(4). Calculate the highest common divisor of z and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18574080 divided by -140?\nAnswer: 132672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-648)\/(-90))\/(-12))\/((-5)\/((-300)\/(-9))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2876640904 to the nearest 100000.\nAnswer: -2876600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 223498.382 and 61.3.\nAnswer: 223559.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -14*n**3 - 14*n**2 - 24*n + 21. Let o(q) = -9*q**3 - 9*q**2 - 16*q + 13. Calculate 5*b(r) - 8*o(r).\nAnswer: 2*r**3 + 2*r**2 + 8*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6273827 + -6273831.5000002. Let s = r - -4.5. What is s rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 10 - (2 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14279083?\nAnswer: 7, 13, 156913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 7)*(2*i + 4*i - 3*i)*(523*i - 833 + 833) to v + x*i**2 + g*i and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -11*s**5 + 52*s**2 - 8. What is the second derivative of u(a) wrt a?\nAnswer: -660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5274991 millilitres to litres.\nAnswer: 0.0005274991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746 is divided by 233?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -53074860 divided by -1942?\nAnswer: 27330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(176) - (sqrt(176) + 2 + 0)))**2 + (sqrt(88)\/(sqrt(8)\/sqrt(4)))\/(sqrt(20)\/sqrt(5)*-6).\nAnswer: -sqrt(11)\/6 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9432670, -18865340, -28298010, -37730680, -47163350?\nAnswer: -56596020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 470201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*u = 6, -2*u + 14 = 3*w - 4*u. Suppose -5*l + 0*i + 2*i = -w, l + 3*i = -3. Are -2\/15 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*a - 4. Let x = 29471\/25 - 820129\/600. Let b = x + 188. Which is smaller: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.87565 * -0.3\nAnswer: -5.962695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007608 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2 + 2581490*w - 20651984 = 0?\nAnswer: -2581498, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - 4. Let f = 8 + w. Which is smaller: 2\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2. Let p = -3 + s. Let w(k) = -1 + 3*k + 2 - 3. Let n(u) = -4*u + 3. Determine p*w(a) - 2*n(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -223*d**2 + 10*d - 20. Let l(g) = -112*g**2 + 5*g - 10. Let b(f) = -7*l(f) + 3*m(f). Does 13 divide b(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 2. Let q be b(-2). Suppose -5 = -2*i + 1. Suppose -i*f + 3 = q, m - f = 4 - 0. Solve m*y = 8 + 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -3*b + 1, j + 4 = -b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2331204230 (base 5) to base 10\nAnswer: 5334940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122 by 883.\nAnswer: -122\/883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 520746255 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v - 2\/15*v**4 - 1\/3*v**3 + 0 - 1\/50*v**5 - 2\/5*v**2. Factor l(o).\nAnswer: -2*(o + 1)**2*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(55) + -2*sqrt(55)))\/(sqrt(50)\/(sqrt(30)\/sqrt(3))) - ((sqrt(132) - sqrt(132)*2)\/((sqrt(15)*-1)\/sqrt(5)))**2.\nAnswer: -44 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**5\/60 - 5*v**4\/8 + 7*v**3\/3 + 9*v**2. Let k be c(-13). Calculate the common denominator of -29\/7 and (136\/k)\/(2\/(-5)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708.3 plus -792?\nAnswer: -83.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**4 + 4 + 0*r**3 + r**3 + 584*r**2 - 578*r**2 in the form d*r + f*r**4 + q + h*r**2 + w*r**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/35, -5, -21\/13, 4\/9, 1, -4.\nAnswer: -5, -4, -21\/13, -2\/35, 4\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + (-2 + sqrt(405))*-5*5*-1)**2.\nAnswer: -23400*sqrt(5) + 255829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 - 1)*(4*t + 0*t - 2*t + (0 - t + 0)*(-1 + 2 + 0)) - 409*t + 608*t - 333*t as u*t + v and give u.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b - 4*b - 2*b)*(4 - 1 - 1)*(-4*b**4 - 3*b**4 + 6*b**4).\nAnswer: 22*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 40 = 2*l. Suppose -2*v + 10 = l*t - 4, -3*t + 2*v = -2. Suppose z - 8 = -5. Solve z = -t*w - 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**3 - 6350931*h**2\/2 - 840299222340*h - 420148817304 = 0.\nAnswer: -529244, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1493285.\nAnswer: 5, 101, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101426*s*y**3 + 8*s*y**2 + s*y + 9247*y - 67 wrt y?\nAnswer: -608556*s*y + 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 855 and 45.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 92?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21027 - 11416. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 559315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 4*r = -9, 4*g = 4*r - 84. Let k be -2 - (148\/g + 4). Suppose k*a + 1\/6*a**2 + 0 = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 1. Suppose -4*u + 0 - 18 = m, 0 = 2*u + 8. Calculate q(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13730671693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4342 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.2 and -9.47776.\nAnswer: -10.67776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 824 + -812. Solve -f*h + 40 = -8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(-45) + 17\/5. What are the prime factors of 1812\/42 + a\/(-21)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/16*(-56)\/(-9464)*26?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34 + -8?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 97*r = -92*r - 19, y - r = 7 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1074815, 1074791, 1074761, 1074725?\nAnswer: 1074683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 8. Let a = -0.29 - -0.09. What is the closest to 1 in j, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2667990 divided by 13\nAnswer: -205230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-2)\/((-912)\/21)*622\/2177)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*o - 9892 + 8452 = 0 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68009 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 23*s - 551. Calculate the remainder when 104 is divided by z(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -85, -172, -257, -340, -421, -500?\n\"Answer: n**2 - 90*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 379777 + 0.03\nAnswer: 379777.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 46, 42, 48, 70, 114?\n\"Answer: j**3 - j**2 - 8*j + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -1.3. Let m = 5.23 - 0.23. Is u smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 2 + 13 - 38*t.\nAnswer: -38*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24399107 and 807?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 49.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26147 is divided by 415?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -9.085. What is s rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3) - 20425\/(-10). Let h = 2048 - y. What is the common denominator of (3\/22)\/(33\/(-308)) and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*f**2 - 2*f**3 - 45*f**2 - 44*f**2 - 38*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myc when three letters picked without replacement from mmcmbkmccmymk?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777363.\nAnswer: 3, 259121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 5) + 10*1. Solve 4*h - i = 7*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75132\/(-1 + 3) + -7 + 1?\nAnswer: 2, 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccpp when four letters picked without replacement from {p: 2, c: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 5*v**7\/14 - v**4\/4 - 25*v. Find the third derivative of h(k) wrt k.\nAnswer: 900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1295 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*n - 3. Let t = n - -5. Calculate the highest common divisor of 48 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 13*y - 1. Let g(d) = -d**3 + 7*d**2 - d + 9. Let x be g(7). Suppose -x*u = -9 + 3. Calculate the remainder when h(u) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 2*s + 2. Let c be k(-2). What are the prime factors of (21\/35)\/(c\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1958.887 decades?\nAnswer: 19.58887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/75 + (-1)\/5. Let a = -6 + 6. Solve a = -g*h + h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u - 3. Let k be p(3). Let r(c) be the third derivative of -c**4\/24 + 5*c**3\/3 - 2*c**2. Let n be r(k). Solve -n = 2*m, 2*h - 7*m = -3*m + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14764 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1115669 is divided by 204?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (20\/(-16) + -1 + 0).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 7:04 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(12) + (sqrt(72) - (sqrt(72) - sqrt(72)*2))\/sqrt(6) + sqrt(12) + sqrt(36)\/(sqrt(3)*-1)))\/((sqrt(400) - -1*sqrt(400)*2) + 2*sqrt(400)*-4).\nAnswer: 3*sqrt(3)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1983 or 29?\nAnswer: -1983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3173572 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9805951 and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -204*w + 209*w - 5. Let f = 0.1 - -0.1. Let z = 1 + -2. Which is the smallest value? (a) z (b) w (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 5008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 5096?\nAnswer: 10192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k + 1 - 1)*(0 - 1 - 1) + 0*k - k + 0*k + k - k - 2*k)*(-14*k**3 + 38*k**3 - 21*k**3 - 4*k**2 - k).\nAnswer: -3*k**4 + 4*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -450, -908, -1366, -1824?\nAnswer: -2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -883\/7, 3 in descending order.\nAnswer: 4, 3, -883\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r**3 - 32*r**3 + 42*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21, 116, 275, 498, 785, 1136, 1551?\n\"Answer: 32*q**2 - q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184 - 139. Calculate the remainder when l is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8217 + 4814. Is 31 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 5. Let b = 5652 + -5645. Let a(d) = d + 2. Calculate b*a(o) + 3*w(o).\nAnswer: 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/9)\/((-45)\/81).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-170)\/34 - (1 - 698)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -87, -78, -55, -12, 57, 158, 297?\n\"Answer: k**3 + k**2 - k - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/7*f**4 + 0*f + 0 - 4\/7*f**2 + 2*f**5 + 6\/7*f**3.\nAnswer: 2*f**2*(f + 1)**2*(7*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6212553.\nAnswer: 3, 23, 179, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-19 - -7) - -8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 2*f - f)*(f**4 + 3*f**4 - f**4) - f**5 - f**5 + 0*f**5.\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -27949*m + 8826. Let u(q) = 6*q - 2. Let w(i) = s(i) + 4413*u(i). Let c(l) = -2*l. What is c(w(r))?\nAnswer: 2942*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10460.7l in millilitres?\nAnswer: 10460700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 m, and 1 d when three letters picked without replacement from {h: 1, m: 8, s: 2, a: 1, d: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1298003\/50 - 25962. What is the common denominator of (-1*(-35)\/500)\/((-3)\/36) and s?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3)*(-3 + 0 + 0)*(-6*b + 3*b + b).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**2 + 3*x - 6. Let i = -8 + 3. Let t be i\/15*0 - -4. What is the tens digit of j(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/133032?\nAnswer: -1\/133032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - (-21)\/6)*0. Let a(x) = 7 + 2*x**2 - 8*x - x**3 - 4 - 11*x**2. Let m be a(-8). Solve 0 = -m*d - c - s + 6, -d = 2*c + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -31. What is the greatest common factor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*z - 10 = 0, 15 = -3*z - 0. Suppose -4*r - 5*x = 0, 4*r - 2*r = 3*x + 22. Solve -15 = -r*k - s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 14 + 22. Suppose -6*a = -3*a + p*a. What is a rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 7*(-40)\/(-56). Suppose 2*q + 2*q - 20 = 0. What is the highest common factor of t and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-3)\/4)\/(48\/(-512)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(78)*1)\/sqrt(6) - (sqrt(832) - (sqrt(832)*1 + sqrt(832)))) + -2)**2 + (5*sqrt(117) + -4 - (sqrt(325) + sqrt(325)*1)*4)**2.\nAnswer: 182*sqrt(13) + 9195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/252800 and 61\/3634000?\nAnswer: 29072000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from {m: 2, l: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 30. Let t be j(-5). Suppose -4*d - 30 = t*m, 0*m = -5*d - 3*m - 31. Let f = -4 - -3.5. Put d, 0.2, f in decreasing order.\nAnswer: 0.2, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 75*m**3 - 3*m**2 - m + 12. What is the remainder when y(2) is divided by 101?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 13*m**2 + 12*m - 12. Let l be 167\/3 - 11\/(-33). Suppose -u - 44 = -l. Give w(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44422131 (base 6) to base 5\nAnswer: -320344201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - h**2)*(7*h + 5*h + 12*h)*(-2 + 1 + 2) in the form y*h + c + r*h**2 + i*h**3 and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*(3 + (sqrt(44)\/(sqrt(4)\/sqrt(2)) - (2*sqrt(1408) - sqrt(1408)))\/(5*sqrt(33)\/(sqrt(12) + sqrt(3))))*-5)**2.\nAnswer: -106272 + 60480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183414 is divided by 521.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -367 - -375. Suppose -5*x + 122 = -2*s, -5*s = -3*x + p*x - 115. What is the greatest common factor of x and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2690\/79 > -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6491951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -4, 3, -2 in ascending order.\nAnswer: -4, -2, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 2*k**3 + 22*k - 1909. Let f(t) = t**2. Calculate 4*f(v) - s(v).\nAnswer: -2*v**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65 and 4056.\nAnswer: 20280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5999 or -1?\nAnswer: 2\/5999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1589980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -22*o + 19. Let m(y) = -205*y**2. Calculate n(m(t)).\nAnswer: 4510*t**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 2*r - 120, 67767*b - 67768*b + 3*r + 37 = 0 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 + 0*r**4 + 2*r**4 + (50*r - 101*r - r**2 + 56*r)*(2*r**2 - r**2 + 0*r**2 + (-2*r + 4*r + 3*r)*(-3*r - 1 + 1)).\nAnswer: 13*r**4 - 70*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -279*p**2 + 63*p. Let i(z) = 9*z**2 - 2*z. Let f(r) = 189*i(r) + 6*v(r). Let x(h) = 4206*h**2 + 4210*h**2 + 0 - 8421*h**2 + 0. Determine x(f(w)).\nAnswer: -3645*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.15, 0.1, -2.9, 1\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + s + 13*s + 95 + 0)*(s**2 + s**2 - s**2).\nAnswer: 14*s**3 + 105*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 33*x**2 - 4*x + 7*x)*(8 - 11 + 2 + 4*x)*(-3 - 2*x + 3) to the form z*x + q*x**3 + r + n*x**2 + f*x**4 and give q.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 1037, 2546, 4649, 7340, 10613, 14462?\nAnswer: 18881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 4)\/(6\/(-15)). Find the second derivative of 37*t**5 + 29*t**5 - 58*t + 181*t - 114*t**m wrt t.\nAnswer: -960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 973, 4067, 9221, 16429, 25685, 36983?\n\"Answer: -q**3 + 1036*q**2 - 7*q - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -1\/2 (b) 21 (c) -0.1 (d) -9 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 7 + 8 + 4*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) -0.3 (c) 0 (d) 13\/3 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*z - 50 = 0, 2*n + 43 = 5*z + 61. Let l(r) = -r + 8. Calculate the remainder when n is divided by l(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.97 + 0.12.\nAnswer: 1.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30380855858 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -3 - 0) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-5 + 18 - 16) + 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17352 and 78084.\nAnswer: 156168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z - 23 + 23)*((-5 + 5 + 2*z)*(z - 2*z + 0*z) + 0*z - 2*z**2 + 0*z).\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4 - 2*a + 2 + 22*a + 2*a. Let y be j(1). What is the greatest common factor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1030 + 1010 - (-11 + 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*k**2 + 69*k**2 + 55*k**2 + 54*k**2.\nAnswer: 310*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m + 2. Determine h(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -270.1 - 73.9. Let h = 22275267.999702 + -22275612. Let d = i - h. Round d to 5 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49661933?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -0.3, -2693, -2, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k**3*w - 9312*k**2*w + 62460*w wrt k.\nAnswer: 9*k**2*w - 18624*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3966, -3955, -3938, -3915, -3886, -3851, -3810?\nAnswer: -3763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 837.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12659, 25316, 37975, 50636, 63299, 75964?\n\"Answer: d**2 + 12654*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -31*d - 33. Let r(n) = n. What is a(o) + 3*r(o)?\nAnswer: -28*o - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - -4) + -13 + 31.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + 2.7. Let t = -0.02 - -3.02. Let w = t - d. Sort -3, -0.5, w.\nAnswer: -3, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -1)\/(-2 + (-12)\/(-8)). Does 83 divide (-11)\/(((-10)\/(-415))\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 + (-15 - (-19 - (-11 + -4))) + -3?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -15*d**5\/2 - 114*d**4 + 1671*d**3 - 4020*d**2 + 7041*d\/2 - 1050 = 0.\nAnswer: -25, 4\/5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6660*k + 139925. Calculate v(-21).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2. Let d(u) = -5*u - 78. Let z(p) = 22*p + 320. Let s(l) = 26*d(l) + 6*z(l). Calculate g(s(f)).\nAnswer: -8*f**2 + 864*f - 23328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4506 or -90141\/20?\nAnswer: -90141\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmzz. Give prob of picking 1 z and 1 m.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7825223832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5797869521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 54*d - 722. Calculate o(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:05 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 93*h**3 - 667*h**3 + 87*h**3 + (-6*h**2 + 3*h**2 + h**2)*(-h + h - h) + h**3 - 2*h**3 + 0*h**3.\nAnswer: -486*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3625686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/8 of a tonne?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1486*s**2 - 59*s - 9. Let d(f) = -2965*f**2 + 120*f + 16. Let v(m) = -4*d(m) - 7*k(m). Find the second derivative of v(j) wrt j.\nAnswer: 2916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1044 - 1*(1 + -1). Suppose -8*v + n = -12. Is v a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 58, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1472, -2916, -4370, -5834?\n\"Answer: -5*z**2 - 1429*z - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44076371 to the nearest integer?\nAnswer: 6639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(r - 35450*r**2 + 35559*r**2 + 0*r) in the form g + s*r + i*r**2 and give i.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**6\/120 + t**5\/10 - t**4\/3 - 5*t**3\/6 + 12*t**2. Let w be d(-7). Solve h - 2 = w*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 40922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (112\/(-40))\/((-8)\/(-10))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, g: 7}. Give prob of picking 2 i.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6702 = 192*g + 2670 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-54596.\nAnswer: 709748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgqqclqcnq. What is prob of sequence nq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 73559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 867, 863, 859, 855, 851, 847?\n\"Answer: -4*x + 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3702 - 1814?\nAnswer: 1ddd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3122387 - 22885175\nAnswer: -19762788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 + -142. Which is the third biggest value? (a) g (b) 3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-nine fifths of a gram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 2*w**2 + 3*w. Let h be t(3). Suppose h = j - 329688 + 1829688. What is j rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2872)\/(-1795))\/(204\/(-15))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/8 + (-37074)\/(-24) + -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13366241 or 13366240?\nAnswer: 13366241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 9:54 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l\/((l\/(l**6\/l))\/l)*l)\/l))\/l**(-4\/5))**9*(((l\/l**(-5))\/l)\/((l\/l**(-2)*l)\/l))\/(l**(-5)*l*l**2) assuming l is positive.\nAnswer: l**(-214\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-45)*-45*(1786\/57)\/(-2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5166\/984)\/(((-7)\/(-14))\/((-4)\/2)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 1:50 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9)\/((10\/6)\/1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3080288203 to the power of 1\/2, to the nearest integer?\nAnswer: 55500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2069082?\nAnswer: 2, 3, 71, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, o: 4, d: 4, f: 4}. What is prob of picking 1 f and 2 d?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207, -410, -615, -822, -1031?\nAnswer: -1242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 - 22 = -x + 5*l, 5*l = 2*x + 24 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 11*h = 1410. What are the prime factors of h?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1988906491?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 0. Let p be (o\/10)\/(6\/30). Suppose 0 = -4*b - 12 + p. Sort 0, -5, b in increasing order.\nAnswer: -5, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-2\/33)\/l)*l\/(l\/(l**(-2\/11)\/l))*l**(-11)\/(l**(13\/3)*l) assuming l is positive.\nAnswer: l**(-170\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -512 + -2?\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.15, 7\/3, 2?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/18)\/((-188)\/282))\/(11\/(-6)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yazk when four letters picked without replacement from zzyzazzzzyzzzzak?\nAnswer: 11\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 2*i + 22, 2*j - 5*i + 5 = 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5391 = -25*o - 1766. Suppose -3*s + 2*l + o = -0*l, -s + l = -50. What is the remainder when 308 is divided by s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c3b (base 14) in base 15?\nAnswer: 17d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -105322 and -0.997683215.\nAnswer: -105322.997683215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411*n + 456*n - 16470 = 0. Calculate the highest common divisor of n and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -123 (c) -1 (d) -0.9 (e) 2\/65\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 - 7*l + 3. What is the remainder when a(6) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4696 + 10572. What is the thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 43.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjgj when four letters picked without replacement from jjjjjjjjjgjjjhgjjjjg.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 4*f**2 + 2*f + 2. Let w be g(4). Suppose o - 30 = w. Suppose m = o + 2. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -691*s**4 + s**3 + 2*s**2 + s - 983. Let j(f) = -f**4 - f**3 - 2*f**2 - f - 2. Let r(p) = j(p) + y(p). Find the first derivative of r(b) wrt b.\nAnswer: -2768*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 832 and 105536.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10286, 2, 22, -5 in descending order.\nAnswer: 10286, 22, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.4 + -46.6. Let v = -55 - i. What is the fourth biggest value in 0, v, 1\/5, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 124\/10 + (-6)\/15. Suppose -18*g - 1296 = -36*g. What is the highest common divisor of d and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*r**2 + 252\/5 + 2*r.\nAnswer: -2*(r - 14)*(r + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -123*l - 18023. Determine h(-165).\nAnswer: 2272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-4)*(-10)\/20.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15922 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-1)\/(-7) - 4\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-56316)\/8112 + 8\/(-26) and -79\/204?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, -2, 1\/21, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3 + 11 = 0. Let c be (2961\/(-105))\/(m\/90). Suppose -2*l - l + c = 0. What is l rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + b - 85 = 0. Let q = -13 - b. Suppose 0 = -2*s + 3 + 3, 0 = r - q*s - 34. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 16 - 25. Calculate the remainder when ((-6)\/(-4))\/((-6)\/(-64)) is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68542.\nAnswer: 2, 43, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 181 = -59. Let s = v - -153. Let b = 28 + 14. Calculate the highest common divisor of b and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 69515414735.\nAnswer: -69515414735.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 174 + 8 = 0. Calculate the greatest common divisor of c and 1170.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3426, 13883, 31260, 55515, 86606?\nAnswer: 124491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.83 (b) 0.032 (c) -95 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourteeen ninths of a week in minutes?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 15*l**2 - 35*l + 16. Let p be d(17). Let z be 6\/((-6)\/(p\/1) + -1). What is the third smallest value in z, -0.1, -2\/15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, m: 1, u: 2, b: 1}. What is prob of picking 1 u and 1 y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 153453104 - -22?\nAnswer: 153453130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71711?\nAnswer: 71711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462 = 4*x - 2*y, 5*x - 4*y - 573 = -0*y. Let k(i) = i**2 + 6*i + 13. Let a be k(-6). What is the highest common factor of x and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + (85 - (-15 - -62)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -11*s**9\/504 - s**5\/4 - 6*s**2 + 24*s. Let j(g) be the first derivative of z(g). Find the third derivative of j(x) wrt x.\nAnswer: -1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267.6 greater than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 58 = 53*m + 407 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/5 - (2*34\/(-16) - (-273)\/(-364)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.78, 2\/5, 3?\nAnswer: -1.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 412700503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111816*z**5 + 54383*z**2?\nAnswer: 6708960*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/817 and -59\/152.\nAnswer: 6536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 8:39 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 9*g = 0. Let j(r) = r + 9. Let u be j(g). Let i = 29 - u. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (37840\/(-1990) - -19)\/(3*(-1)\/2)\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 605*n - 585. Let i be c(0). Is i at least as big as -582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 46*m**3 + 208914*m - 9 - 104464*m - 104459*m. Let r(b) = -23*b**3 + 4*b + 4. Calculate -9*r(n) - 4*z(n).\nAnswer: 23*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.08848 to 1 decimal place.\nAnswer: -90.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26\/1805? (a) -0.8 (b) -170 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9*(-2 - -2 - -11). Calculate the greatest common factor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from hnhhhqhnhihqihnhhth?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/30*-25 + -7)*30?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31069, 31314, 31559?\nAnswer: 31804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**4\/108 + m**3\/18 + m - 41. Suppose j(b) = 0. What is b?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from nnfnfnox.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109386.\nAnswer: 2, 3, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141873?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 499494252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2856545341 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {r: 2, g: 13, o: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15506 - 8536. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -4*d**3 + 7*d**2 - 37*d - 1. Let w(r) = -r**2 + 2*r + 3. Let p be w(-2). What is the tens digit of t(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 28670781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2250 to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 75\/(-35))*(-35)\/10. Which is the nearest to r? (a) 4 (b) 3 (c) 2\/9 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88938 divided by 9.\nAnswer: -9882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 675, 661, 637, 603, 559, 505, 441?\n\"Answer: -5*g**2 + g + 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34341*m - 12 + 12 - 4002*m.\nAnswer: -38343*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v - 62*v - 4862 = 63*v - 1190 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**5\/9 - 10*a**4\/9 - 262*a**3\/9 + 146*a**2 + 396*a = 0.\nAnswer: -11, -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -345 in 2\/9, 0.2, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -604*z**2 - 6*z + 9. Let y(d) = 483805*d**2 + 4808*d - 7212. Give 2404*u(k) + 3*y(k).\nAnswer: -601*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 25392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15455 - -15499. Calculate the remainder when 308 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11029495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1114 divided by -1.\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -202200211121012 (base 3) to base 14\nAnswer: -166484d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1\/3, -13\/4, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3694 - 2884 = 6*b + 39*b for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 5*g - 5. Let k be d(-4). Suppose 2*b - 1 - 13 = 0. Is k less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1878 and 137\/1120.\nAnswer: 1051680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2173814*w**3 + 4347696*w**3 + 4*w + 1 - 2173825*w**3.\nAnswer: 57*w**3 + 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 86?\nAnswer: 25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 7*o**2 - 23*o - 86. What is the hundreds digit of u(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3) - sqrt(3))*-1 - sqrt(192)\/sqrt(4).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 - 95*o + 27 + 24 + 87.\nAnswer: -95*o + 292","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41624969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 68406 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14\/9 (b) -1 (c) -2 (d) 1034 (e) -0.04 (f) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 4. Let m be r(-4). Suppose 3*d - 8*d + 5 = m. What is the least common multiple of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63240\/75888*(-4)\/790.\nAnswer: -1\/237","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -3937.\nAnswer: 11811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.247 - 0.2469857. What is f rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 18 + 30 = -4*n, 4*y + n = 38. Suppose 4*s = -5*r + 21, -5*r = -y*r + 25. What is the closest to -2\/3 in s, 0.4, 2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4*c - 3 - 8, d + 9 = -4*c. Let k be -5*(-2 - d) - 2. Let s(i) = 3*i**2 - 6*i - k - 4*i**2 - 3 + 0. What is s(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.39, -414, 0.3 in decreasing order.\nAnswer: 2.39, 0.3, -414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15356?\nAnswer: 2, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*s - b, -3*b + 2*b = -2*s + 38. Let i be (-7 - (-138)\/s)\/((-8)\/6). Sort i, -0.4, 0.3, -1 in ascending order.\nAnswer: -1, i, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43403*w + 5*w**4 + 43403*w + (-2*w**3 + 0*w**3 + w**3)*(-5*w + 0*w + 4*w).\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -246*n**2 + 979*n + 11. Determine l(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 10*o**2 - 7*o - 7. Suppose 19 = 3*r - 8. What is the units digit of j(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/3111393 and -40\/7259917.\nAnswer: 21779751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13\/5 (b) 5 (c) -2\/11 (d) -7\/3 (e) -0.2 (f) -24 (g) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-217177 + -5)*(-1)\/(-2). Is q\/(-13) + (-8)\/52 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3 + o**3 + 28*o**2 - o - 28*o**2. Let l be a(-3). Let m = -10 - l. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 + 5 + (-6 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 3 + 13. What is the second derivative of 4*w**2 - 3*w + 7*w - 3*w**v wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 10:56 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 32*a + 59471141 = 12*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(704)*-2 + sqrt(704) + (sqrt(704) - (sqrt(704)*2 + 2)))*-1)**2.\nAnswer: -256*sqrt(11) + 45060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 15 = -g, 0 = -1665*c + 1662*c - 4*g + 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7663847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*g - 388*g + 503*g - 374*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/5 = 1755.961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s - s + s + 0*s. Let p(q) = -5*q**2. What is u(p(k))?\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*m + 28, -4*h + 19 + 33 = 3*m. Suppose c - 29 + 17 = 0. Let n = c - h. Solve 0*p = -n*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0480596985 to five dps.\nAnswer: -0.04806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aad when three letters picked without replacement from adddnivindna?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.201, 0.3, 3, -3?\nAnswer: 0.201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2108 = -99*s - 522 - 439 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244282001?\nAnswer: 353, 692017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*d + 46*l - 44*l = 94, 4*l = d - 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11767013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 + 192*n**3 - 6*n**2 - 580*n - 384.\nAnswer: 2*(n - 2)*(n + 1)**2*(n + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25150830 by -5030166.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r + 58 = 0. Is 29 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.026 (b) 1 (c) -0.0407\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 67030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -14, 5, -15 in increasing order.\nAnswer: -15, -14, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 14 = 2. Suppose -8*q = t*q - 30. Let d = 31 + -26. Solve 0 = h + 6*z - z + 9, -d*z + q = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3 + 3 + 8*s**2 - s. Let h = -9 + 10. What is the remainder when 12 is divided by u(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -18, -2\/3, -1\/130?\nAnswer: -1\/130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**4 + 493840*x**3 + 1481490*x**2 + 1481480*x + 493825 = 0. Calculate x.\nAnswer: -98765, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 165.927 + -166. What is m rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 2\/2882149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001968735 to four dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 91*d**3\/3 - 49*d**2\/2 - 133. Let k(c) = -9*c**2 + 5*c. Let i(w) = 49*k(w) + 5*l(w). Let p(q) = 2*q. What is i(p(h))?\nAnswer: 56*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.7, 0, 18 in decreasing order.\nAnswer: 18, 1.7, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from rrrccrrrcrcrwrce.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1118 + -531. What are the prime factors of h?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 8 in increasing order.\nAnswer: -6, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34016 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 26341.\nAnswer: -5\/26341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -355189940 by -88797485.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.9467 to one dp.\nAnswer: -53.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 101*m**5\/60 - m**4\/6 + 421*m**3 + 2800*m**2. What is the derivative of r(j) wrt j?\nAnswer: 202*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 26*j**2 - 25*j - 25. Let o(t) = -13*t**2 + 13*t + 10. Give 5*o(q) + 2*p(q).\nAnswer: -13*q**2 + 15*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -587*k - 449. Determine r(-1).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*p + 45*p = -12. Suppose -2*b + 3*z = -1385, 0*z = -5*b + p*z + 3485. Round b to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from oooqs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Let n be (-148)\/(-12) + (-3)\/9. Suppose 0 = 5*r + n - 2, 3*d + 2*r = 38. What is the least common multiple of j and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*k**6 - 2731783*k**3 + 621*k**2 - 66869?\nAnswer: -1440*k**3 - 16390698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 131*s**2. Let d(l) = -70*l**2. Let c(p) = -7*p**2. Let o(q) = -49*c(q) + 5*d(q). What is u(o(v))?\nAnswer: 6419*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4*y + 8 = -28, 14*u - 11*u + y - 9 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a*k**4 + 5*a*k**2 + 3*a*k + 6*k**2 - 9*k wrt k.\nAnswer: 12*a*k**2 + 10*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -21307*z + 106532. What is x(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 20 in ascending order.\nAnswer: -4, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 3*k + 281 = 232, -4*k + 12 = -3*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -463 + 425.6. Round b to the nearest integer.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82 + 53 - (-3 - 14)) + -21?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 179 + 6 = 5*l, 2*c = l - 28. Let j = l + 27. What is the greatest common divisor of j and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6 + -0.6. Let n be ((-14)\/(504\/60))\/(-15 + 10). Which is the closest to t? (a) n (b) 0 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*n + 6. Suppose -1 - 23 = -n*c. Solve 2*g - c*q - 8 = 2, -3*g + 7 = -4*q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.207001 nanograms in milligrams?\nAnswer: 0.000005207001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + f - 1)*(3 + 0*f - 2*f - 2)*(3*f + 0*f - 4*f + (-58 + 19 - 131)*(-3 - 2*f + 3)) to q*f + m*f**2 + l + u*f**3 and give u.\nAnswer: -678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/45 - (-350128)\/240 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(8))**2 + 0.\nAnswer: -4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-29 - (-6 + -2))*-1. Suppose -4*n + 5*p + 405 = 0, n - p = 53 + 49. Calculate the greatest common factor of n and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*h + f - 45 = 413*h + 4*f, -h - 239 = 15*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 6*a**2 + 4*a + 6. Suppose 6 = 2*y, 4*y + y - 11 = -2*m. Let w(j) = j**3 + 2*j**2 - 2*j + 1. Let k be w(m). Is x(k) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.621338mm?\nAnswer: 0.8621338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59)\/12213)\/(5\/45).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29901.9973842 - -29902. What is v rounded to five decimal places?\nAnswer: 0.00262","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 < 380385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4138 + 1.6138. Which is the third smallest value? (a) m (b) 3 (c) -0.1 (d) 5 (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -415, 307, 3293, 9677, 20593, 37175?\nAnswer: 60557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4*20\/(-6). Let b be -3 + 25 + 0 + -3. Solve -3*u + b = -v + o*v, u + 2*v = 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 + 74. Suppose 5*o + 25 = j*i, 0 = 8*i - 3*i + 3*o - 1. Find the third derivative of 2*x**6 + 23*x**6 - 10*x**2 - 4*x**2 + x**i wrt x.\nAnswer: 3000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*s + 14 = -2*y, -8 = y + 3*s. Let t(q) = -6 - 2*q**2 - 2*q**3 + 3*q**3 + 7*q**2. Determine t(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2301000 (base 4) to base 12\nAnswer: -6680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*d**4 + 61332*d**3 + 8103348*d**2 - 286743348*d - 931512636 = 0. Calculate d.\nAnswer: -309, -3, 813\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/3145 and 109\/1785.\nAnswer: 66045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 244 = -7*u. Let a(d) = 12*d - 152. Calculate the remainder when u is divided by a(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*l**2*n**2 - 766*l**2 + 3*n**3 wrt n.\nAnswer: 44*l**2*n + 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-19\/4)))\/g**(-8\/3) assuming g is positive.\nAnswer: g**(89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -16*t - 2455. Let w(n) = -7*n - 1229. What is 2*o(s) - 5*w(s)?\nAnswer: 3*s + 1235","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-3) + (-4 - (-2 + 1)). Sort -1, x, 2\/3 in increasing order.\nAnswer: x, -1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/259? (a) 1.2 (b) 7\/16 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xygpiqiiigpyiq. Give prob of picking 1 p and 1 q.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (1*sqrt(1872))**2 - (sqrt(1300)*2 - sqrt(1300) - sqrt(1300))) + (sqrt(104)\/(sqrt(8) + (sqrt(8) - -3*(-2*sqrt(8) + sqrt(8)))))**2 + 0.\nAnswer: sqrt(13) + 1885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10621 is divided by 10498?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1598082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 11\/8621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 10. Let d be s(-9). Is 3 a factor of (-6)\/12*(-19 - d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.2, 0.4, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3454805 times -2?\nAnswer: 6909610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -19. Let x = -0.01 - 2.99. What is the third smallest value in x, y, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 6*r**2 - 2*r - 6. Let x(v) = -21*v**2 + 20*v**2 + 12 - v - 6*v. Let j be x(-9). What are the prime factors of n(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10*(-9)\/36*(-1)\/1. Which is the nearest to 0.04? (a) -4 (b) -1\/3 (c) 1\/7 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l**3 + l**2 - 2*l + 1. Let p be x(1). Suppose p*o + 14 = 84. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/232, 5, 1.8, 101?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.79843*9.\nAnswer: 25.18587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2772112, 2772097, 2772058, 2771983, 2771860, 2771677?\nAnswer: 2771422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1277, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2268\/(-21168))\/((-27)\/(-7)).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.8 (b) -1\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 591 - 408. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 6*n - 2. Let a be c(-5). Let l be a\/(-1) - 54\/(-21). Let k = 0.9 - -0.1. Put l, 3\/2, k in descending order.\nAnswer: 3\/2, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 935 + -563. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 57*y + 2. Let s be h(4). Suppose 5*p + 4*m - 384 = 0, 4*p + 2*m - s = p. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-90)\/585 - 2380\/(-91). Calculate the greatest common factor of 1417 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, c: 1, k: 1}. Give prob of sequence cj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*v**3 + 987*v**2 + v + 67*v**3 - 2 - 989*v**2 + 2 in the form g*v**2 + j*v**3 + i + r*v and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123449, -246903, -370357?\nAnswer: -493811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460 = -9*u + 4*u. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 55\/22*((-2)\/(-5) - 1). Are -1 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122001 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-2646)*-4)\/((-13)\/117).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 27*y - 132. Give j(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**5 + 15556*q**4 - 7556628*q**3 + 22576508*q**2 - 22545376*q + 7509936 = 0. Calculate q.\nAnswer: -4326, 1, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 7. Let a be h(-4). Let s be a*(-8)\/36*3. Determine u, given that -10\/7*u**4 + 0*u**2 + 0*u - s*u**5 + 0 + 4\/7*u**3 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4586045, -9172094, -13758145, -18344198?\n\"Answer: -v**2 - 4586046*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1193*n**2 + 1957*n**2 + 1882*n**2 + 980*n + 970*n**2 + 2187*n wrt n?\nAnswer: 7232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z + 5*l - 30, -2*z = -3*l + 13. Let r = -16\/275 - -6\/25. Which is bigger: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1228349682.\nAnswer: 2, 3, 7, 701, 13907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3672317.3 at most -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(22\/6)\/(-11)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + 4*(sqrt(304) + 1) + sqrt(304))**2 + (-2*sqrt(304) + sqrt(304) + 1 - (sqrt(304) - (-1 + sqrt(304))*-6))**2 + -3 + 2.\nAnswer: -488*sqrt(19) + 27108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/10)*j*j\/(((j\/((j\/j**(-2\/3))\/j*j))\/j*j)\/j))\/(j\/(j*j**(1\/5)\/j))**(16\/5) assuming j is positive.\nAnswer: j**(331\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(2) + -2*sqrt(18))) + sqrt(2))**2 + -3.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2411 divided by -709.\nAnswer: 2411\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2 + 186396*d + 8685867204 = 0. Calculate d.\nAnswer: -93198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35, 41, 49, 59, 71, 85, 101?\n\"Answer: k**2 + 3*k + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 8:36 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 9181877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f. Let i(p) be the first derivative of p**4\/24 + 5*p**3\/6 - 133*p**2 + 128. Let o(g) be the second derivative of i(g). Determine o(l(y)).\nAnswer: -6*y + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1726 * 0.11.\nAnswer: -189.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 3:22 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -12) + 3 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (64 - 13*g - 64)*(-30 - 39 + 61) to the form j + p*g and give p.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1609 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 649 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**3 + 2921*s**2 + 5*s + 55 - 2914*s**2 + 4*s**3. Let x be w(-7). Solve 4*j + 0 = -x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*r - 42*r - 8904 = 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 7, 278427 in descending order.\nAnswer: 278427, 7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3\/2, 1.3, 2\/3, 1.255, -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from affffffffffff?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 10, 5*y - 6*c = -36 + 29 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -79248 rounded to the nearest 1000?\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (5 - (-1 - -10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e2 - -202?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -307455403*n**4 - 7049*n**2 + 325 wrt n?\nAnswer: -7378929672*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.9 and 0.749?\nAnswer: 0.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**7\/140 - v**6\/180 + 2*v**5\/15 - v**4\/3 - 5*v**3\/6 + 3*v**2. Let s(x) be the first derivative of j(x). Factor s(a).\nAnswer: -2*(a - 1)*(a + 2)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1115 and -33\/185759.\nAnswer: 928795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43840 < 43840?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405428 - 1057333 = -5*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from enkunkkunkken.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -321124 (base 6) to base 3\nAnswer: -1022220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 2. Suppose -h*s - 2*a = -0*s, a = -5*s. Solve 2*j + m + m + 2 = s, 0 = 4*m + 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 211?\nAnswer: 8\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1690, 3323, 4956, 6589?\n\"Answer: 1633*b + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-1 + 0)) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 63 (b) -0.2 (c) -4 (d) 1.6 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1248360 and 1248360?\nAnswer: 1248360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7059 - 7062. Which is the nearest to 2\/9? (a) -0.867 (b) x (c) 1\/2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4730.18 - -4730. Which is the second smallest value? (a) 3 (b) 2 (c) x (d) -4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c = -23*c - 115. Calculate the highest common factor of 253 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*d + 612 = 0, 0 = 5*d + 25. Suppose -4*m = -3*a + 122, 0 = 5*a - m - 0*m - v. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*n + x + 190, 0 = -4*n - 3*x + 263. What is the tens digit of ((-20)\/25)\/((-1)\/n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2428? (a) 3 (b) 3\/8 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -2. Let o = y - -6. Suppose w + 0*w - o = 0. Calculate the lowest common multiple of 8 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 4*l + 5. Suppose t - 4*t = 3*f - 15, -3*f + 7 = -5*t. Let a be m(f). Solve 0 = -8*r + a*r - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 837760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10072 divided by 539.\nAnswer: 10072\/539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 bigger than 3393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111 or 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - 1*-64439 - (-484)\/121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218\/4 + 15\/(-60)*-10 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/6, 0, -9, -15.5, 83.8, 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 46*g + 1462. Give y(-23).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from nys?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 275013 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 12 - 11 + 9*d - 8 - 3*d. Is i(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9561933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + 3*z + 49. What is p(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - (sqrt(1715) + sqrt(1715)*-2 - sqrt(35)))\/(sqrt(343)*-2))**2 + (sqrt(55)\/(3*sqrt(11)) - (sqrt(5) + sqrt(640)\/sqrt(2))).\nAnswer: -26*sqrt(5)\/3 + 405\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2 - 2 - 5*g**2. Let c be 2 - (0 - 0\/(-3)). Suppose -c*n = 8, -5*w - n + 41 = -0*w. Let y(x) = 2*x**2. Calculate w*y(q) + 4*j(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y**3 - 3*y**2 - y + 2. Let s be i(2). Suppose 11*q = -13 + 68. Suppose 2*u + s = q*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 646981*o + 646993*o - 1293987*o.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 120*y - 985. Give s(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266551 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5183*y = 5150*y - 1452 for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26561\/14 - 1904. Calculate the common denominator of -23\/70 and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 65, 74, 37, -46?\n\"Answer: -23*g**2 + 78*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -3125\nAnswer: 12500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2023.34 and -6786366?\nAnswer: 6788389.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/795, 3, 0.26.\nAnswer: 2\/795, 0.26, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4 - 132*c**3 - 496*c**2 = 0. Calculate c.\nAnswer: -62, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 99138 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y - 3. List the prime factors of r(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 2. Suppose -l*b = 5*i - 180, 4*b - 48 = -i - 0*b. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 18. Let u(f) = -12*f + 24. Let a(c) = -c + 1. Let w(x) = 15*a(x) - u(x). What are the prime factors of w(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 20 = -3*x, -j - x = 0. Let i = 8 + j. Which is the nearest to -1? (a) 1 (b) -3\/8 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8120010761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28087.\nAnswer: 28087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -147134*q + 147134*q + 2006*q**2 + 3*q**2 - 5*q**2 + 4*q**2 + (6*q - q - 2*q)*(0*q + q - 4*q) as o*q + j + b*q**2 and give b.\nAnswer: 1999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -16. Let k be (12\/(-10))\/(6\/q). Solve 0 = -k*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g - 4. Let t(s) = -2*s + 7. Let y(z) = z - 3. Let n(j) = 3*t(j) + 7*y(j). What is -l(w) - 2*n(w)?\nAnswer: 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7775398*u**4 + 2*u**2 - 28818*u + 1151 wrt u?\nAnswer: -186609552*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 240461802 divided by 42886\nAnswer: 5607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3234025*(2 + (8084\/(-3870) - (-2)\/(-18))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -5 (b) 10 (c) 1\/6 (d) 0 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 853332 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p + 33. Let a be i(-6). Let n be a\/(0 - 12\/364). Suppose 3*b - c - 109 = 55, 0 = 2*b + 3*c - n. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbdvzbvdbti. Give prob of picking 2 b.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 320\/140 - (-4)\/(-14). Let p(s) = -s**u - 7*s**2 + 4*s**2. Let b(g) = -21*g. Give p(b(z)).\nAnswer: -1764*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, -18, -3\/8, 0?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9261\/(-882) - ((-1)\/(-1) + -10).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a - 535 = -73*a - 6*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*k + 3*j, -3*j = 4*k - 4*j - 26. Let x be 4\/(-14) + 36\/28. Let o(v) = 6*v**3 - 2*v + 1. Let n be o(x). Solve -n*s = -1 + k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1532 = 2*s, 17*a - 18*a + 5*s = -766. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 116\/142436385 and 2\/74609535?\nAnswer: 1566800235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45 + 68?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 2607.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0914 + -429.9086. Let d = v + 430.114. Round d to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -408 + 464. Calculate the highest common divisor of 112 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40324351 + 0*d**2 - 40323705 - d**2.\nAnswer: -d**2 + 646","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 50*g + 1. Calculate the remainder when 87 is divided by m(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 11. Let c be j(-7). Let t = 0 + c. Solve t*b + 1 = -3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*3*3\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 43*j**2 + 116*j - 550. Determine h(-6).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -35*z + 2. Let k be v(-2). Suppose 64 = 659*w - 651*w. What is the highest common factor of k and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29812 is divided by 320?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 + 5*z - 1. Let n(q) = -q**2 + q. Let k(w) = -2*n(w) + o(w). Give k(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*(-544)\/(-2856)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26233658 and 94342.\nAnswer: 2194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7ca1 (base 14) to base 8.\nAnswer: 52305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.030854*0.1.\nAnswer: -0.0030854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24384 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, t: 4, q: 1, m: 2}. What is prob of sequence jtj?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00137 to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -3.94, 6\/19, 2.1 in decreasing order.\nAnswer: 2.1, 6\/19, -2\/9, -3.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.2, -11, -1\/6 in ascending order.\nAnswer: -11, -7, -0.2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -299\/236 + 1\/59. Let j = -925 + 921. What is the closest to -2\/7 in 0.1, j, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 8:07 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -225 - -227. Let d(b) = -b - 1. Let q(j) = -j**2 + 3*j + 3. Suppose -2*t + 4*x = -24, 0 = 4*t + 3*x - 4 - 11. What is c*q(i) + t*d(i)?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -83*v**4\/12 - v**3\/6 - 51*v**2\/2 - 20*v - 1. What is the second derivative of y(n) wrt n?\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3 (b) -5 (c) 129.31428\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -15*b + 130. Suppose 2*z - 5*h = -3*h + b, 39 = 5*z - h. Suppose 2*t + 2 = 0, 4*u = 5*t - 4*t + 13. Sort u, -5, z in descending order.\nAnswer: z, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12509357*n**2*v**4 - n**2*v**2 - 238717*n**2*v + 6*n**2 - 6*v**4 - 2*v**2 + 31*v wrt v?\nAnswer: -300224568*n**2*v - 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40928 - 1470. What is the ten thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*c + 9. Suppose -c*m + 0*m + 16 = 0. Suppose 0 = 2*j - 5*j - 2*k + 22, -5*j - m*k + 40 = 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: Calculate (-12912)\/(-55952)*(-481)\/(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/11, 3\/5, 5 in decreasing order.\nAnswer: 5, 3\/5, 2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 8 = -4*u. Let r be (0 - -8)*u\/(-2). Let k = -4 - -4. Sort -1, r, 5, k in increasing order.\nAnswer: -1, k, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1.2. Let s = -112 - -107. Let q = 0.7 - 0.2. What is the second biggest value in g, q, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*x, -4*n = -288*x + 292*x - 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000047888407 to seven decimal places.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -2, -1 in increasing order.\nAnswer: -2, -1, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 4 (c) -76 (d) -3\/2 (e) -1 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 223 + -230. What is the nearest to 1 in -5, 2\/3, -0.5, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 9:56 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5550 and 14?\nAnswer: 38850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 - 4*r**2 + 2*r**2 + (-3*r + r + r)*(-3*r - r + 5*r) + 9*r**2 - 39*r**2 + 14*r**2 to x*r + q + c*r**2 and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:06 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, i: 4, z: 3, p: 2, y: 3, f: 1}. Give prob of picking 1 l, 1 f, and 1 i.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2476, 2453, 2426, 2395, 2360, 2321, 2278?\nAnswer: 2231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2 = -4*u, -3*m = -u + m - 6. Suppose -t = r - 5, 4*t - u = 3*r - r. Suppose -r*c + 343 = -149. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 - 51. Suppose 3 = 4*u - 1. What is the remainder when u - 5*-1*9 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -5, 0.3, 9\/403, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -6128, -6, 3, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times -1798.72?\nAnswer: -161.8848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4212992?\nAnswer: 2, 7, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 240421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22028 is divided by 416.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -14.4, -13206 in ascending order.\nAnswer: -13206, -14.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + 4 + sqrt(1539)*-1 - (sqrt(1539) + sqrt(1539) + (sqrt(1539) + 1 + sqrt(1539))*-2))*-5)**2.\nAnswer: 5400*sqrt(19) + 154800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 268 + -256. Suppose -m + 1 = 2*h - 0, -h - i = -2*m. Solve 0*p - 5*p = -4*r + 41, -45 = m*p - 5*r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -741262968 divided by -118337?\nAnswer: 6264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -105*q + 3725. What is the remainder when z(25) is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + -3)**2*-3 + (sqrt(1700)*1*-5)**2)*-6 + -3.\nAnswer: -224241 - 1080*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.084 and 667806467.\nAnswer: 667806467.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -92.32469426 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 5*d = 2*d. Suppose d = -7*l + 124 + 779. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 30 + 15 - 12*h**2.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*b**3 - 4585*b + 4581*b - 19*b**4 - 2 + 54*b**3 as m*b**4 + i*b**2 + v + r*b**3 + j*b and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 40*k + 654. Calculate o(-14).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 156*b + 21*b + 1 + 254809*b**4 + b**3 - 254811*b**4 in the form q*b**3 + n + g*b**4 + l*b**2 + f*b and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 at most 17238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 2\/45, 4\/5, -1\/852?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -4.27?\nAnswer: -2.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 98494.\nAnswer: 3\/98494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -7. Find the third derivative of 2*k**h + 3*k**2 + 0*k**3 - k**2 - 4*k**3 wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -738*t**5 + 34*t**2 - 6*t?\nAnswer: -44280*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 1 - 3. Suppose 9 = -k*i + 5. Let r(h) = 92*h**2 + 2*h + 1. Is r(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -959*u + 110 = -981*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 6. Calculate the smallest common multiple of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -8\/7, 5, 128, -6\/17, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*u - 3*u, -3*x - 4*u = -276458. Let d(f) = 18*f + x - 92158. Let k(p) = -2*p. Calculate k(d(z)).\nAnswer: -36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 1. Let o be p(-1). Let c = o - 1. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 4434*g - 35414. Calculate x(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hoov when four letters picked without replacement from {o: 2, b: 4, h: 2, v: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96868296.\nAnswer: 2, 3, 7, 27457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from {f: 10, j: 2, x: 6, a: 2}.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64448714895.79 + 12.\nAnswer: 64448714907.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1053 + 504 = -61*r. Solve 182 = -r*u + 227 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -244 + 246. Solve -a*l + 2 = 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -442 - -442.5. Let b = 1.1 + -0.1. What is the second biggest value in 5\/2, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/74)\/((15\/130)\/(-3))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 103\/3. Let g = 1992 + -1978. Which is the third smallest value? (a) g (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-60)\/330 - (-4163)\/10615. Let r = v + -2\/193. Factor -r*f**4 + 0 + 2\/5*f**3 - 2\/5*f + 1\/5*f**2.\nAnswer: -f*(f - 2)*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 204 + -134. Let v(n) = -n**2 - 9*n - 2. Let c(i) = -i - 1. Let b(a) = 5*c(a) - v(a). What is the remainder when s is divided by b(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - i + 376 = -2*l, 2*i + 94 = -l. Let c = l + 78. Let n be 4\/6*(-1 - 12\/c). Are -1 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 9*b**2 + 9*b + 8. Let s be k(-8). Suppose -p + s*p = -2. Let m(r) = 636 + p*r + r**2 - 635 + 4*r. Calculate m(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -14689*x**3 - 14*x**2 + 47*x - 12. Let s be i(-12). Round s to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*n - n - 19 = 0, -4*n = 3*q + 54. Round q to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*p - 16, 0 = -2*b + 5*p - 4*p - 8. What is the third smallest value in -0.5, -58, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -281*w + 319*w - 76 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 2*c. Let a(u) = u**3 + u**2 - 6*u + 14. Let y(i) = -i**3 - i**2 + 5*i - 13. Let w(h) = -4*a(h) - 5*y(h). Is w(c) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2122 divided by -33\nAnswer: -2122\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from niynuyunnunyununyn.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)*-1)\/(5*1*sqrt(3)) + 3.\nAnswer: -7*sqrt(3)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1410 = -129*j - 1797 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1041, -1008, -961, -900?\nAnswer: -825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (45 + -18 - 50) - (2 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-nine quarters of a micrometer?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcc when three letters picked without replacement from ccjjpcc?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 493 = 142. Suppose -z*a = -37*a - 66. Solve 3*i - 5*i - 2 = 3*g, -5*i + 2*g = -a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -4. Let u be w - (1 - (-10)\/(-3)). What is the nearest to 1 in u, 2\/5, -1\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/4*((-3240)\/(-210))\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 1:18 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 5, -157, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 1)*(-o + 2*o**4 + o) + (-11*o**3 + o**2 - 5*o**2 + 13*o**3)*(15*o + o - 1 - 8*o) - 2*o**4 + 3*o**4 + 2*o**4.\nAnswer: 11*o**4 - 34*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-4*(-3)\/36.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4718, 4308, 3900, 3494, 3090, 2688?\nAnswer: 2288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 196449920 to the power of 1\/2, to the nearest integer?\nAnswer: 14016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -18. Let w = 21 + -13. Solve l - w = -2*y, -3*l = k*y - 5*y + 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**5\/x**4)\/(x**(-5)*x*x\/x**4))\/(((x\/(x\/x**(-4)))\/(x*x*x**(-2)))\/(((x**1*x)\/x)\/((x\/x**(1\/5)*x)\/x*x))) assuming x is positive.\nAnswer: x**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 36548672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjij when four letters picked without replacement from {i: 5, j: 14}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 2 - -1) + 6. Suppose 2*r - 9 = 3. Let u be r\/8 + (-19)\/20. Which is the smallest value? (a) t (b) 1\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1211, 2399, 3599, 4817, 6059, 7331, 8639?\n\"Answer: v**3 + 1181*v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppplpppppppppppppp. Give prob of sequence ppp.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.9 - 1.9. Let g = -14.05 + t. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*k = -78*k + 8. Let s(x) be the first derivative of 80\/3*x**3 + k*x**2 + 25*x**4 + 0*x + 6. Factor s(c).\nAnswer: 4*c*(5*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(8\/3)*(c\/(c\/(c\/c**(3\/23)*c))*c)\/c*c*(c**(-10\/3)\/c*c)\/c*c\/(c\/(c\/c**(-18)))*c assuming c is positive.\nAnswer: c**(1463\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*h - 1 = 0, 4*s = -5*h - 5 - 8. Let o be ((-1)\/s)\/((-3)\/6). Let d(m) = -5*m + 3*m + 3*m + 8*m**2. Calculate d(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -896, -959, -1022, -1085?\n\"Answer: -63*b - 833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1458 and 75\/4.\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + q - 6. Let h(t) = -t**2 + 8*t - 5. Let l be h(7). What is the remainder when 26 is divided by (0 + (q - l))*14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1349\/7 - 193. Which is the nearest to 1? (a) 2\/21 (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 + 14 = -3*g. Let o = 114 - g. Suppose -13*i + o*i = 0. Solve 0*d + 4*d = i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -14. What is the units digit of (8\/y)\/((-1)\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3693379270 to the nearest one hundred thousand.\nAnswer: -3693400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, -446, -406\/9.\nAnswer: -446, -406\/9, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -141*3\/(-18) - 1\/2. Calculate the highest common factor of 161 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 4199\/532)*(-74)\/12 + (-3)\/8.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9365310?\nAnswer: 2, 3, 5, 104059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 2*g + 6*g)*(-5 + 12*g + 5 + (-2*g - 18*g + 2*g)*(1 - 4 + 1)).\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dia when three letters picked without replacement from {i: 2, m: 6, a: 1, d: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 80755.13 millimeters?\nAnswer: 8075.513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 1. Let k(z) = 132 - 71 - 66 + 2*z. What is -6*a(c) - 2*k(c)?\nAnswer: 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 + 11*z + 19. What is the tens digit of d(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -53*n**3\/2 - 113*n**2\/2 - 2*n + 56. What is the derivative of s(f) wrt f?\nAnswer: -159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t = -25*t + 5*w - 180986, 5*w = -3*t + 135737. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 281 - 275. Let b(l) = 3*l. What is b(y)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1194\/1554 + 16\/(-296). What is the third biggest value in 1\/3, 1, 0.6, b?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 + -103. Let j(q) = -q**3 - 2*q**2 + 4. Let f be j(v). Solve -c - f = 3*u + 3*c, 0 = -5*u - 5*c - 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -11310?\nAnswer: -11301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 32*c + 180. Solve 8*u = -7 - c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -10*k + 2*k + 6*k + 8*k**2 + 2*k**3 - 6*k**2. Let f(a) = 3*a + 166*a**2 - 170*a**2 - 4*a**3 + a. Give -4*f(q) - 9*v(q).\nAnswer: -2*q**3 - 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -16. Suppose -5*m = -r - 65, -m + r + 13 = -r. Solve 2*c + m = b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-98)\/4)*(-216)\/(-1944)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 2*w - 2. Let l(d) = d**3 - 10*d + 1. Let a be l(-3). Give t(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26.2 - -1.2. Let g = 5 + v. Let q = -20 - g. Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 - 9*l - 2. Let s be m(5). Let u = 28 - 26. Let w(x) = -x + 11. Let q be w(0). Solve u*y = -q + s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(48))\/(-2*sqrt(4)*3).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 + 2*n**3 - n**3)*(-1 + 0 - 8 - 1 - 4 - 2 + (1 + 0 - 3)*(1 + 0 + 0)).\nAnswer: -54*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 7 - -8 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*k + 54 = 17*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1568, -3142, -4712, -6278, -7840, -9398, -10952?\n\"Answer: 2*o**2 - 1580*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/105 and 19\/126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*a - 15509236 + 15509234 - 6*a.\nAnswer: 34*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -323*u**3 - 107*u**2 - 8*u + 6652. Let j(x) = 46*x**3 + 14*x**2 + x - 950. Let i(b) = -15*j(b) - 2*p(b). Find the first derivative of i(v) wrt v.\nAnswer: -132*v**2 + 8*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33860 and 54176?\nAnswer: 270880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 + 3*h + 21. Let k be j(3). What is the units digit of k\/36 - (-9640)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -98. Let d be -4*(v\/(-8))\/(-5). Solve 10 = d*b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/11 (b) -2 (c) -40613\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dswzyis. Give prob of sequence iy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 10:48 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 735.2665 grams?\nAnswer: 735266.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjdi when four letters picked without replacement from {e: 3, r: 1, i: 1, j: 1, d: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7645558697?\nAnswer: 7, 7243, 150797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -707, -56, 3, 2 in decreasing order.\nAnswer: 3, 2, -1, -3, -56, -707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*r + 27 - 4, -3*r + 12 = 0. Solve 6 = p*y + q + 14, -4*y - 6 = 2*q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/4? (a) 4 (b) -0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4656 - 3?\nAnswer: -4661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 171582487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/295 and -117\/40.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12037122 divided by 668729\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133710537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1741 - 1045. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35714172 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -4*a - 9*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37.5 + -62.4. Let v = x - -24.89999871. Round v to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -2)\/(-9 + 11). Let b = a - -4. Calculate the smallest common multiple of b and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 1, a: 2, f: 1}. Give prob of sequence tr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2957, -9523, -20475, -35819, -55561?\n\"Answer: -b**3 - 2187*b**2 + 2*b - 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 3*k + 7. Suppose -11*j = -12*j - 4. Let p be z(j). Solve -5*a - 6 = -p*w + 16, 0 = 2*a - 3*w + 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 4:39 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 223083.612 milliseconds?\nAnswer: 0.00258198625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 356 - 354. What is the second biggest value in -2, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 34, 14, -26, -92, -190, -326, -506, -736?\n\"Answer: -w**3 - 4*w**2 - w + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*m - 9*b - 5495, 3*b + 1089 = m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(70) + (sqrt(70) - -2*sqrt(70)*-5 - sqrt(70))))\/((sqrt(250) - -1*sqrt(250))*6))**2.\nAnswer: 63\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16645*i = -16373*i - 17952 for i.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 258, 382, 506?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 - 2 = 0. Let o(n) be the second derivative of n - 1\/12*n**4 + 1\/6*n**3 + 0 + 0*n**2. Let y(m) = -3*m**2 + 2*m - 1. Give b*y(l) - 2*o(l).\nAnswer: -l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1921.\nAnswer: 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**4 + 9*n**4 + 0*n**4)*(-3 + 0 + 1) + 2*n**4 - n**4 - 23*n**2 + 25*n**2 to o*n + y*n**4 + v*n**3 + x*n**2 + d and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19738 and 695?\nAnswer: 98690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -6 + -4 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111 + -64. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -79, 0, 0.3, 1\/7?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) -5 (b) 2\/3 (c) 3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -736\/7 or -106?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 1. Let q be v(-1). Suppose -q*l + 3*p + 8 = 0, l + l + 20 = -4*p. What is the common denominator of -77\/4 and (3\/(-27))\/(l\/(-76))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*v - 218*v = 324. Calculate the smallest common multiple of 9 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1178310*v*z**2 + 57024689*v - 9*z**2 wrt z.\nAnswer: -2356620*v*z - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4 - 3 + 4*j - 2*j + 5. Let c be y(2). Suppose 7*q = 2*q - v - 5, -c*q - 3*v = 15. Is 0 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1756 = -261*p + 5209 + 2028 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 89*n**3 + n**2 - 2. Let j be i(-1). Let x = j - -91. Let y(h) = 2 - 2*h**2 - x + h - h. What is y(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4)*(-13 - -5). Differentiate -128*w**2 + 128*w**2 + 3 + w**d wrt w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.5 - 41.5. Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 36*m**3 + 60*m**2 + 28*m.\nAnswer: 4*m*(m + 1)**2*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + s + 1. Let n(h) = 3*h**2 - 2*h - 2. Let b(r) = 2*k(r) + n(r). Let f(c) be the first derivative of c**3\/3 - 2. Calculate b(f(l)).\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3445, -3423, -3365, -3253, -3069, -2795?\nAnswer: -2413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -867136956257?\nAnswer: 867136956252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -814\/9, -1\/33.\nAnswer: -814\/9, -1\/33, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 1 + 0 + 7. Suppose 3*g = g - s. Let k(o) = 293*o - 50391. Let t be k(172). Put 0.3, t, g, 0.5 in decreasing order.\nAnswer: t, 0.5, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 195*v**3 + 36*v**2 - 11*v**2 + 116*v**3 - 18*v - 21*v**2 wrt v.\nAnswer: 1866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 60. Let m = 477 + -485. Let t be s(m). Find l, given that 5*l**2 - 5\/2*l + 5\/2*l**t + 1\/2 - 1\/2*l**5 - 5*l**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 0)*(1 - -6). Suppose u + c = -y - u, u - 1 = y. Let m(i) = 71 + 0*i - 145 - i + 70. Calculate m(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5728*d - 5739*d + 16828*d - 5374*d.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -13. Let u(x) = 3*x**2 + 14*x - 4. Let g be u(-6). Suppose -4*t = t - g. Solve t*m + q + 2*q = 2, -3*q + h = 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n = n + 2*m + 116, 3*n + 5*m - 7 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = t - 14, 4*k - 20 = 0. Calculate the highest common divisor of 108 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -2534.\nAnswer: -2535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -49, -30, 7, 68, 159, 286?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5439, -6826, -9135, -12360, -16495, -21534, -27471, -34300?\nAnswer: -42015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39611402*u**2*z**2 + 2*u*z**2 + 7138*u - 969*z wrt u?\nAnswer: -79222804*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109127966?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 - 8*i**2 - i + 10. Let s be t(-4). Suppose -118 = -2*p - 4*f, -p + 2*f = -29 - s. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 231*h + 450.\nAnswer: 3*(h - 75)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-3)\/(-9)*1. Suppose 4*x = -3*j + 13 - 1, -x = o. Solve -5*d - j = 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a77 - -3956?\nAnswer: 10811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8937 - 1375.9.\nAnswer: 7561.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9101*g + 224 = 9069*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 39*u**2 + 36*u - 2853. Determine g(40).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, q: 1, f: 3, r: 5, o: 1, i: 1}. Give prob of sequence sqri.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = p - 29693, p - 5606 = 2*o - 20445. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14e645 (base 16) in base 14?\nAnswer: -279217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w - 5*w)*((-3 + 4 + 2)*(-w + 4*w - 4*w) - 4 - 2*w + 4).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 814 and 666?\nAnswer: 7326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 874873080 a multiple of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 10:01 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137 - 135. What is the second derivative of -56*i + 50*i - v*i - 58*i - 41*i**4 wrt i?\nAnswer: -492*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 6*w + 7. Suppose 5*g - 75 = 5*r, 3*g - 51 = -0*g + 5*r. What is the lowest common multiple of w and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -722258 by -967.\nAnswer: 722258\/967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 1. Let s(v) = 25*v - 5. Let l(p) = -37*p + 8. Let a(d) = -5*l(d) - 7*s(d). Calculate -a(y) + 5*w(y).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34477 by 41980.\nAnswer: -34477\/41980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2225*((-2403)\/3 + 1). What is a rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01029 rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 417.\nAnswer: -28\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.548 greater than 33.98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3757.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by 22007\nAnswer: -91\/22007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*u + 138*u = 85 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0117 + 0.2117. Which is the fourth smallest value? (a) 2\/3 (b) 2\/13 (c) z (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-601 + 97*c + 601)*(-3*c + 2 - 2)*(4 + 2 - 3) + (-2*c + 4*c - 5*c)*(4*c - 3*c - 2*c) - 3*c**2 + 2*c**2 - 4*c**2 to n*c + d*c**2 + h and give d.\nAnswer: -875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*z**3 + 13*a**3*z + 2444*a**2*z**5 + 2*a**2*z**2 - 49*z**2 wrt z?\nAnswer: -6*a**3 + 146640*a**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185100 divided by -414.\nAnswer: 30850\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -4. Let m be 2 + 0\/1 + 1. Differentiate m - 1 + h*o + 3*o with respect to o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (34*a + 19*a + 21*a)*(-2*a + 3*a + 3*a)*(7 + 14 - 38) as s*a + w*a**2 + t and give w.\nAnswer: -5032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - 6*sqrt(68)*1 - (sqrt(68) - (sqrt(68)*-1 + sqrt(68))*4))\/((sqrt(484)*4 - sqrt(484))*-5).\nAnswer: 2*sqrt(17)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -8 (c) -4 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38.913 - -0.087. Let c = -39.00000093 + s. Round c to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 5*u - 25, 5*z + 7*u = 4*z - 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*h - 8*h = -32*h + 120. Let q(i) = 20*i**2 - i - 6. Let y(v) = -10*v**2 + v + 3. Let k(u) = -3*q(u) - 5*y(u). What is k(h)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = 3*m, -2*q - 2*m = 60. Let v = -16 - q. Solve -5*z = v*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4092?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 39860217*u**2 - 239161383*u - 358742115.\nAnswer: 3*(u - 13286745)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 175841?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4296854151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537*s - 1724*s + 102082 = 0 for s.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 h when four letters picked without replacement from {h: 2, y: 3, x: 5, f: 7}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/10 - 4\/5. Is -6\/77 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -159*a - 7499. Determine k(-46).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*c + 6*c - 3, -1 = -c - x. Suppose -4*v + 2 + 16 = 2*m, 4*m = -c*v + 12. Solve 2*d - v*d = -4*w + 26, -4*w + 20 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 18 = 134*s - 125 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -890413?\nAnswer: 1\/890413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 9 - (1 + 2)) + 8 + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 19 = b - 2*s, -24 = -3*b - 5*s. Solve 0*c = -3*c - x - 7, c = 5*x - b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 2*a**2 - 7*a + 5. Let x be t(5). Suppose 35 - 10 = -z - 4*p, 6*z = -p - 127. Let g = x + z. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 15*q = 0. What is the nearest to 3 in 3, q, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 3)*(13 - 11*t - 13) + 155 - 78 - 79 - 23*t to j*t + n and give j.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120958 is divided by 57.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -207562 (base 8) in base 5?\nAnswer: -4210430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r + r + 10*r. Let a(c) = c + 2. Let m be a(-1). Is b(m) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4722.\nAnswer: 2, 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 398273.3ml in litres?\nAnswer: 398.2733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -177, -5, -2, 6 in descending order.\nAnswer: 6, 3, -2, -5, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-16)*(-2)\/(-5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**3\/6 + 13*o**2\/2 - 23*o. Calculate r(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3 (b) -0.18 (c) 7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2360, -3678, -5862, -8912, -12828?\n\"Answer: -433*v**2 - 19*v - 1908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6*r - 33 = -u, 3*r = 15. Suppose u*m = 12 + 92. Solve 3*s - m = -4*y, -12 = 5*s - 10*s + 3*y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 474, 1933, 4372, 7791, 12190, 17569?\n\"Answer: 490*b**2 - 11*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(88)*-4*-3)\/(-3*sqrt(128) - (sqrt(96)\/(sqrt(12)*1) - sqrt(8) - sqrt(8))).\nAnswer: -2 + 24*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.01, 1.1, -4\/9?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + h + 0*h = -20, -5*t + 20 = -5*h. Solve t = 5*v - 9*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2 + 2)*(-q**4 + q**3 - q**3) + 3*q**5 - 4*q**5 + 4*q**5 - 282 + q**4 + 282 + 6*q**5 + 15679*q**2 + 3*q**4 - 15679*q**2 - 17*q**5.\nAnswer: -7*q**5 + 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 + -69. Let s(p) = -5*p**2 - 12*p + 9. Let d(k) = 3*k**2 + 6*k - 5. Suppose 10*h + 28 = 17*h. Let f(o) = b*d(o) + h*s(o). Calculate f(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2 + 4*b - 895. Give y(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12051 + 12876. Is 25 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -11*z**2. Let f(n) = 23*n**2 - 9*n + 76. Let q(k) = -5*k**2 + 2*k - 19. Let b(s) = 2*f(s) + 9*q(s). Calculate h(b(c)).\nAnswer: -11*c**4 + 418*c**2 - 3971","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 5\/4, -4, -9 in ascending order.\nAnswer: -9, -4, -0.1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.2, -0.3, 5.\nAnswer: -8.2, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8)*-4*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 8*i**2 + 8*i - 6. Let l be d(7). Let b(w) = w - 2 + 0 - l. Let p be b(5). Solve -8 = -4*f, -p*a - 20 = 2*a - 2*f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 166454.17 to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/44698 and -65\/1552.\nAnswer: 34685648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1654449 is divided by 108?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0653 + 3.0653. Put -1, -5, 1, h in increasing order.\nAnswer: -5, -1, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332784 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m**2 + m**2 - m**2)*(8*m**2 + 6*m**2 - 4*m**2) in the form z*m**2 + v*m + x*m**4 + n + j*m**3 and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -5*y, 0 = r - 4*y + 5*y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 10, 5\/6, -35 in descending order.\nAnswer: 10, 5\/6, 2\/21, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 126\/84*1*-2. List the prime factors of ((2 + y\/3)*-2206)\/(-2).\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1042 divide 29997096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 170 = -2*w - 0*w, -3*d + w = -128. Suppose -q - d = -2*k + 2*q, 37 = 3*k + q. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 12*d = 156. What are the prime factors of d?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -243220101 (base 5) to base 2\nAnswer: -100011000010011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 451509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.035, -1\/7, 0.5, 1\/6 in decreasing order.\nAnswer: 1, 0.5, 1\/6, -0.035, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24424212 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 11. Let y = -7.4 + a. Put -0.1, 1, y in decreasing order.\nAnswer: 1, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 123 - -3?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.23144m to millimeters.\nAnswer: 70231.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1061 = 283*l - 3891. Calculate the smallest common multiple of 2330 and l.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 324\/(-3564)*((-2)\/(-3))\/(-1)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/235 at most as big as 5382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-156)\/(-16))\/(-13))\/(2\/(-16))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 58*w**2 - w - 1. Let q = -21 + 41. What is the remainder when h(-1) is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111001010110010110 (base 2) in base 8?\nAnswer: -4712626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**3\/2 - 15*w**2\/2 + 8*w. What is the derivative of j(r) wrt r?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182156355277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**3 + 3*a**3 - 3*a**3)*(-42 - 50 - 226*a + 90) as f + m*a**3 + s*a**2 + d*a**4 + b*a and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -137.\nAnswer: -685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2263.608 rounded to the nearest 10?\nAnswer: -2260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271176 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from lllliklliikillili.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 1\/2)*169\/((-6253)\/(-267288)). Which is bigger: k or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 r when three letters picked without replacement from {f: 1, r: 4, n: 2, o: 1, h: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5889254873?\nAnswer: 5889254873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + -12. Let u = 43 + g. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.55 - -0.44. Let n = -0.109994 - f. Round n to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/3)\/((-5)\/405). Let i = f + -673\/5. Factor 2\/5*m**2 + 0 - i*m.\nAnswer: 2*m*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20237*t**4 + 40806*t wrt t.\nAnswer: 242844*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4abb60 (base 12) to base 6\nAnswer: 42115400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - l - 120. Let y = -21 - l. Solve -4*j + j = y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 8*m**2 + 5*m + 1. Let x be a(-7). Suppose 0 = -5*g + 432 - 112. Suppose g = 4*w - 4*q, -4*q + x = q. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 7:53 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 3423.\nAnswer: -3408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50461*t**2 - 50461*t**2 + 5*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*j - 4*p + 5, -19 = -3*j - 2*p. Suppose -17 - 7 = -4*b + 4*u, -2*b + j*u + 15 = 0. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 477 - 477.4. What is the third smallest value in d, -0.05, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 664824, 1329581, 1994340, 2659101?\nAnswer: 3323864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2292 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - v**2 - v + 1. Suppose 5*n + 0*n - 10 = 0. Let o be z(n). Solve 0*m + 2\/5*m**2 + 2\/5*m**o + 0 = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 - 205 = -31*x. What is the lowest common multiple of 33\/(2 - -1) - -3 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25788)\/(-56) - (-1)\/(-2). Suppose -14 = -q - 3*b, 1 = -4*b - 7. What is the greatest common factor of q and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(-1*sqrt(21)\/sqrt(3)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3667457 (base 8) to base 14\nAnswer: -1c48a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2)\/(1620\/8694 + 4\/(-92))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5794905 by 3.\nAnswer: -1931635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.4, -114, 3\/4, -2\/11 in ascending order.\nAnswer: -114, -2\/11, 0.4, 3\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 190a (base 11) in base 7?\nAnswer: 10041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.2833 * 4\nAnswer: 5.1332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-536)\/(-72) + -11 + 4.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9469, 18481, 27507, 36553, 45625, 54729?\n\"Answer: w**3 + w**2 + 9002*w + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k**2 - 10*k**3 - 65 + 4*k + 61 - 18*k = 0. Calculate k.\nAnswer: -1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r = -24*r + 20. Suppose 0 = -2*y + r*k + 16, -y + 5*k = -0*y - 8. Let p = 11 - y. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 16 = -7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 1 = b. Let z be b\/(-6)*(-3 + 1). Suppose -z*t + 66 = 9. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 5:16 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5938?\nAnswer: 2, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.011 + -5884137388\nAnswer: -5884137387.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 902*x = 911*x + 81 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 + 9*v + 29. Let j(r) = 5*r**2 + 13*r + 44. Let k(u) = -5*j(u) + 8*n(u). Let a be k(9). Is (4\/a)\/((-4)\/522) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*p + 398, -2*d = 4*p - 83 - 141. Suppose -3*i + d = a + 2*i, a + 3*i = 100. Suppose -5*v = r + a, 2*v + 53 - 13 = -r. Does v = -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s = -36*s + 30. Solve 1 = p + 4*t + s, 0 = -p + t + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 - 36*d**2 + 32*d + 30. Let f be (312\/1456*14\/24)\/(1\/136). Calculate x(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -36. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a91 (base 14) to base 6\nAnswer: 115435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**4\/6 + 11*a**3\/3 - 295*a**2. Calculate d(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u - 10. Let t be b(4). Let r be (-16)\/24 - (-28)\/t. Suppose -20 = -r*p, 2*z - 34 = -5*p - 9. Is -1.4 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**5\/20 - 5*j**4\/6 + 16*j**3\/3 - j**2. Let c(f) = -f**2 - 7*f + 11. Let x(r) = 8*c(r) - 3*z(r). Is x(-6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2 (b) 0 (c) 6.68 (d) -5 (e) 8 (f) 2\/7 (g) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*p - b + 4, 3*b = -p + 13. Let o(q) = -q**3 - q**2 - 2*q - 4. Let i be o(p). Find the second derivative of -16*f**4 + 15*f**4 + 7*f**i - f wrt f.\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2 - 35920440*g - 107523167482800 = 0 for g.\nAnswer: -5986740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -456 (base 12) to base 5.\nAnswer: -10032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 1, h: 1, f: 1}. What is prob of picking 1 v and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 3:42 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, k: 1, z: 2, v: 1}. What is prob of sequence kzza?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 344 (base 12) to base 11\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c7 + 128?\nAnswer: 1ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/27 and 32\/43755?\nAnswer: 393795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2\/119 (b) 1\/5 (c) -2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-2*2\/60)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29397 (base 11) in base 8?\nAnswer: 121402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1550228 to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120371, -240741, -361111, -481481, -601851, -722221?\nAnswer: -842591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289721 is divided by 32183?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9348851.\nAnswer: 127, 73613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 31 - 15 - 5 + 62*u**2 - 65*u**2.\nAnswer: -3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.4086 to 1 dp.\nAnswer: -10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/2*(56\/(-5))\/7. Let t = -2\/5 + -44\/15. What is the nearest to t in -0.4, f, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/10)\/((-7)\/(-5)). Let w be (-18 + 4844\/273)\/(10\/(-12)). What is the third smallest value in f, w, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -293 + 278.1. Let k = m + 14.9. Is k at least as big as 8.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-34)*i\/(i\/i**(-4\/7)))\/(i**(-3\/13)*i*i**(-26)*i*i) assuming i is positive.\nAnswer: i**(-1032\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 5*v**2 - 4*v + 8. Give g(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 6 - -17) + -21.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147539 by -140.\nAnswer: -21077\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 - 9*s - 23. What is r(-5)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v. Let q(l) = 5*l - 5. Suppose 2*p = -8*p + 2070. Let g = p - 213. Calculate g*y(a) + q(a).\nAnswer: -a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/9 + 1\/9. Suppose -4*b - 11 + 3 = -4*o, -5*b - 10 = 2*o. Let a be 0*(o + (-3)\/6). Which is smaller: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10711, 10674, 10615, 10540, 10455?\nAnswer: 10366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11727 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, z: 3, t: 2, o: 6, h: 1, v: 3}. Give prob of picking 1 v, 1 l, and 2 t.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 4. Let x be l(7). Let j = -216 - -212. Put -2, x, j, 1 in descending order.\nAnswer: x, 1, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 3:38 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p = 39*p + 564 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000040172883 rounded to 7 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/8 - (-95)\/20. Suppose -24 = -4*l - 5*j, p*j - 3*j = 4*l - 24. Calculate the highest common divisor of l and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 90.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 4. Let c(i) be the second derivative of -i + 1\/4*i**4 + 0 - 1\/2*i**2 + j*i**3. What is the first derivative of c(d) wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -83, -159, -237, -323, -423, -543, -689, -867?\n\"Answer: -d**3 + 5*d**2 - 84*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.078 + -1.078. What is the closest to 0 in 3, w, 1, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7336*s**2 - 100174 + 100174 to the form f*s + i + z*s**2 and give z.\nAnswer: 7336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*(-4*(-1 + sqrt(2)) + sqrt(8) + sqrt(16)\/sqrt(2) + (-3*-2*sqrt(72) - sqrt(72))))**2.\nAnswer: 4500*sqrt(2) + 45225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 7644, 29357, 65142, 115005, 178952, 256989, 349122?\nAnswer: 455357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2427, -2468, -2527, -2604, -2699, -2812?\n\"Answer: -9*z**2 - 14*z - 2404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/3)\/(22\/(-165)))\/((-5715)\/118872)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - 0) + 1285556*9. What is s rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35755?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112233 (base 5) to base 14.\nAnswer: 7269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 340*i**2 - 5600*i.\nAnswer: -5*i*(i - 40)*(i - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*g - 2*g**4 + 5*g**4 - 2*g**4 + 4*g**2 - 6*g**2 + 2*g**3 in the form w*g**4 + v*g + i + y*g**3 + u*g**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*g + 2. What is the remainder when 8\/6*(g + 13) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 11*x + 5. Let v be 6 - 5\/((-5)\/4). Let z be d(v). Sort z, 3, -3 in descending order.\nAnswer: 3, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1368 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6963 and 83745267.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010010100110001 (base 2) to base 10.\nAnswer: -107825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4992 + -49959\/10. Calculate the common denominator of 151\/6 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -0.667 (b) 1 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a factor of 195474812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 - 52\/(-6))\/((-3)\/396). Calculate the greatest common factor of g and 594.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3846.6 + 3847. Which is the third smallest value? (a) -31 (b) o (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*m**4 - 714*m**3 + 153*m**2 + 147*m - 36 = 0 for m.\nAnswer: -4\/9, 1\/4, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00707105 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7098*v + 14021. Give l(2).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 1, -19, -55, -113, -199, -319?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - 4)*(d + 2*d - d)*(4*d - d - d)*(0 + 4 - 28).\nAnswer: 864*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h - 15. Let m be k(5). Suppose -4*z + 32 = -s - 2*s, -4*z - s = -16. Let t(q) = 4*q - 10*q - q**2 + 5 + z*q. Calculate t(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 15*o + 8. Give l(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 4*c - 3*n, 0 = -4*c + n - 3 + 150. Let j = c - 11. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 914125.9m to centimeters.\nAnswer: 91412590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13038 or 13036?\nAnswer: 13038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*c = 1191 - 1597 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(3\/4)\/s))\/(s\/(s*s*s**(-3\/4)*s*s*s)))\/(s\/((s\/(s\/s**0))\/s)*s**(-1\/4)) assuming s is positive.\nAnswer: s**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 7:37 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.04 + -0.04. Let w = -0.91 + 1.21. What is the second biggest value in -0.4, l, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/155944 and -73\/12?\nAnswer: 467832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from qjjjjqqhjqjjhjq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 1.5 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-2 + -5)\/(1\/3*-3) and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7489.\nAnswer: 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/181788 and -55\/272682.\nAnswer: 545364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nsss when four letters picked without replacement from {n: 7, s: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v - 7. Let a be x(5). Suppose 20*d + 16 + 244 = 0. Let n(r) = 5*r + 70. Let w be n(d). Solve 10*i = -5*t + w*i - 5, 4*t - 5*i - a = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 0.4402?\nAnswer: 0.3402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 11. Let i be t(6). Let z = 647 + -647. Suppose 3*r = r + 5*u + 46, z = i*r - u - 69. What is the remainder when r is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**10\/(o*(o*o**(-9\/7))\/o)*(((o\/o**2)\/o)\/o)**(-15) assuming o is positive.\nAnswer: o**(387\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - 7) + 2 + 6 + 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 0*f + 1\/30*f**5 + 0*f**3 + 3*f**2 + 0 + 0*f**4. Let r(c) = 2*c. What is r(q(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4116871*p - 4116871*p - 1116*p**3 + (3*p - 5*p + 4*p)*(3*p**2 - 4 + 4).\nAnswer: -1110*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/7)*h*h*h)\/h)**(3\/4)*h*h**(-1\/4)*h**(-1\/2)*h\/(h*h**(-1\/4)*h)*h**5*(h\/h**1)**(4\/5) assuming h is positive.\nAnswer: h**(195\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2\/5 + 98*i + 23168\/5 = 0 for i.\nAnswer: -181, -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r, 0 = t + 3*r - 15 - 91. Suppose -2*s + 8 = -s - 5*f, -4*f - t = -5*s. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 31 + 37 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 - 6*p. Let r(f) be the third derivative of -7\/24*f**4 - 4*f**2 + 1\/15*f**5 + 0*f**3 + 0 + 0*f. Give 7*c(a) - 6*r(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2890, -4398, -5906, -7414, -8922?\n\"Answer: -1508*p - 1382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1360 = -j + 9*j. Let a = 250 + j. Suppose -2*n - 3*n = -m - 100, -4*n - 4*m + a = 0. Solve 2*r + r + 3*k = 3, 0 = -4*r + 4*k + n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b + 23. Let q(n) = -2*n**3 - 4*n**2 - 3*n - 1. Let z be q(-2). Let g(r) = -2*r - 15. Give z*t(f) + 8*g(f).\nAnswer: -f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2746252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88\/(-396) - (-56)\/9 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/44516 and 3\/14260.\nAnswer: 5119340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, 2\/9, 1\/2, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 4242?\nAnswer: -4243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6730531717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 35*u**2 + 52*u - 575. Calculate the smallest common multiple of r(36) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/630 and -157\/336.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppppuppppppppppppppp?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8394 - -8392. Let r(h) = 30*h + 9. Calculate r(c).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-480)\/(-48) - 10\/2. Solve 3 = -f*o + 4*x, -3*o - x = -3*x + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**2 - 88*n - 1389. Let u be z(-13). What is the greatest common factor of 48 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 5:18 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5732, 1, -5, 3, 31 in ascending order.\nAnswer: -5, 1, 3, 31, 5732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8464 and 16000.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 61 - 21. Let k = y - -40. Let o = -13 + k. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7320 divided by -305.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*p + 35, 222*p - 224*p + 5*j - 10 = 0. Put -4, 1, p, 4, 10 in descending order.\nAnswer: 10, p, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-16 - (1 + -10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -4. Suppose 0 = i*w - 5*r - 28, 5*w + 9 = -5*r - 1. What is the second derivative of -j + 2*j**2 - 2*j**w + 13*j**3 - 11*j**3 wrt j?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1096757570.57 and -26.\nAnswer: -1096757596.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 11 - (12 - 0)) + 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52800 and 366872.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvjsj. What is prob of sequence jvjs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -101 divided by -111\nAnswer: 101\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x + 4. Let m(b) = 8*b + 11. Let c(i) = 3 - 5 + 3. Let k be (2\/4)\/(1\/2). Let q(s) = k*m(s) - 6*c(s). Give -7*l(y) + 6*q(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.5141107 to one decimal place.\nAnswer: -24.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8947 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*r + 15, -2*r = -1 - 1. Let t be ((-6)\/(-4))\/(15\/(-80)). Let s = b - t. Sort -1\/2, s, -2\/11 in descending order.\nAnswer: s, -2\/11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x + 177 = 3*d, -d = 5*x - 59. Let b = -63 - -69. Find the first derivative of -35 - b*n + d - 27 wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -729660, -1459318, -2188976, -2918634, -3648292?\n\"Answer: -729658*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(98)*2 + (sqrt(4) + (sqrt(4) - sqrt(36)))\/sqrt(2)*1))**2.\nAnswer: 1682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 1286 in increasing order.\nAnswer: -1, 2, 1286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 106883 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -77 + 7?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -303\/4*w**2 + 101 + 49\/2*w**3 + 1\/4*w**4 + w.\nAnswer: (w - 2)**2*(w + 1)*(w + 101)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10203 - -27587. List the prime factors of d.\nAnswer: 2, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/11, -2, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/9*3 + -2. Let x be (-2)\/(-4) + 177*(-3)\/18. Let r be 6 + 3*x\/15. Which is the biggest value? (a) -3\/5 (b) n (c) r (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(84\/105*10\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + (1 - 7 - -10) + 1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c. Let y = 33 - 32. Let i(u) be the first derivative of -7\/2*u**2 - y + 0*u. Calculate i(r(m)).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.142 * 0.15.\nAnswer: -0.0213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 + 287074 + 281937 - 569011.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 8*n - 4. What are the prime factors of a(-4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2.8. Let b = 0.3 + x. Let v = 4 - 4. Is v equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 7:06 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j**3 - 3*j**2 - 2*j - 759. Let k(u) = -40*u**3 - 17*u**2 - 12*u - 4555. What is -3*k(r) + 17*v(r)?\nAnswer: r**3 + 2*r + 762","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 6*x + 11*x - 16, -5*f - 20 = 2*x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 20 = 3*y + 5*k, -4*y - 8 = 2*k. Suppose y = -2*q - 4, 0 = -j - 3*q - 4. Let l be (-36)\/(-40) + j\/(-5). Put l, -5, 0.2 in decreasing order.\nAnswer: l, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -11. Suppose 14 = w*a - 24. What is the remainder when a is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 160.5 and -10388142?\nAnswer: 10388302.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114751?\nAnswer: 7, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -4\/7, -4, -0.09, 2\/3147?\nAnswer: 2\/3147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 17. Solve 5*j = -q - 8, -r*j + 4*q = -15 + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25552 divided by -39\nAnswer: -25552\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2272072.\nAnswer: 2, 11, 25819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1337593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.0522965 and 0.3?\nAnswer: 1.51568895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 > -50.812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4, -3*v + 7 = c - 0*v. Suppose 6*x + 17 = -31. Let m = x + c. Solve 0 = -r - 2*i - 6, -r - m*i - 15 = -5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11906790 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 + 7*h + 3. Let i(u) = 7*u - 7*u**2 + 0 + 5 + 0*u + 8*u. Let g(y) = 3*i(y) - 5*m(y). Calculate g(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2822 - ((-5 - -1) + 4)\/(-4).\nAnswer: 2, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-105) + (-52 - 141349\/(-2730))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(2\/(-6)) + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 202015*l**2 + 253069*l wrt l?\nAnswer: 404030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (2 - 1) + (62 - (57 - 37)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 116 and 3.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1552 + 9 + (-72)\/12 is divided by 175.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.44 + 0.44. Let f = b - -26.999962. Round f to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.4, 8, -42\/31?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 9*p + 6*p + 5*p + (-p + 1 - 1)*(-1 + 0 - 1) as x + u*p and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 1. Let w(v) = 5*v**2 - 8. Let q(x) = 6*g(x) + w(x). Let a(c) = -4*c**2 - 7. Suppose 5*p - 18 = l, p = -5*l - 4*p + 60. Give l*q(y) - 2*a(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 2 + 56*q - 45 - 31 - 30)*(2 - 3*q - 2).\nAnswer: -168*q**2 + 243*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/378 - 321\/63)*-4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 8:21 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhxh when four letters picked without replacement from {x: 14, h: 4}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20962939 is divided by 163?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p + 68*p - 33 = -2*o, 3*o = 7*o - p + 20 - 15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k**0*k*k*k*k*k)))\/k)**12 assuming k is positive.\nAnswer: k**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*o**2 - 34*o**2 - 3*o**2 in the form c*o**2 + v + p*o and give c.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-57))\/(54480\/(-172520))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*k - 136*k - 117 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 170253920?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1545952 and 338177.\nAnswer: 10821664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 774526015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07692 - 362.97692. Let f = 348 + t. What is f rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 3. Let m = -93 - -95. What is o(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/40)\/(2\/4). Let k = -56.1 + 49. Let i = 7 + k. Which is smaller: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -100001001100011101110010000?\nAnswer: 100001001100011101110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -645 - 33489?\nAnswer: -34023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -4, -3, 12, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - l + 33. Let w be ((-2)\/(-4))\/((-2)\/56). Let h = w + 14. What is the tens digit of j(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1296817690.\nAnswer: 2, 5, 7, 109, 349, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6927 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509*d**2 + 4 + 1321*d**2 - 4 - 597*d**2.\nAnswer: 215*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/13)\/b)**(-5\/14))**(-42\/5) assuming b is positive.\nAnswer: b**(-30\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*c - 87765 = -44*c - w, 0 = c - 5*w - 17579. List the prime factors of c.\nAnswer: 2, 67, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/8)\/l*l)\/((l\/(l**39*l))\/l)*(l**(-10)*l)\/(l\/((l*l*l**(2\/47)*l)\/l)*l) assuming l is positive.\nAnswer: l**(11813\/376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 9*g. Let d(j) = 208 + 5*j**2 - 208. What is w(d(t))?\nAnswer: 45*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -237280, -238756, -240232, -241708, -243184?\nAnswer: -244660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 1. Let x be t(5). Which is the closest to -0.2? (a) -0.2 (b) -2\/13 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11094204984 + 216281525984298\/19495. Let h = l - 80\/557. Let t = 48\/5 + h. Which is the second biggest value? (a) t (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*k - 6625, 4*z + 36 - 40 = 0. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 363*a**3\/2 + 18183*a**2 + 39024*a + 21168 = 0. Calculate a.\nAnswer: -98, -12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 - -4*14\/(-8))*4. Let q(j) = 7*j**3 + 4*j**2 + 2*j + 2. Let x(o) = -8*o**3 - 5*o**2 - 2*o - 2. Calculate n*x(w) + 5*q(w).\nAnswer: 3*w**3 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-345)\/(-24) + 30\/(-80). Suppose -190*g + 176*g + y = 0. Let a(j) = j - 4*j**2 + 0*j**2 - 3*j. Let s(x) = x**2 + x + 1. Determine g*a(d) + 2*s(d).\nAnswer: -2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 79824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8 - 2*h + 0*h + h + 0. Calculate the lowest common multiple of d(-14) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 6*w + 8. Suppose -198 = 3*h - 186. Let o be d(h). Is -3\/32 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3877433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 3*d**2 + 7*d - 4. Let j be r(5). Let s = j - -12. Let c = s + 11. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 + 12419768*g + 1 - 12419936*g + 0.\nAnswer: -168*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042127 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1304240 to the nearest integer?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1018418 and 505686?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 15 = -10. Let l(f) = -f + 33. What is the remainder when l(0) is divided by 15\/q - 84\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -135, 5, 4, 0 in decreasing order.\nAnswer: 5, 4, 0, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7+24.731170781\nAnswer: 31.731170781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -9) + 5 - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -208 + 177. Let x = -66 + 37. Let y = o - x. What is the third biggest value in y, 4, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**3 + 4*g**3 - 2*g**3 - 4*g**3 - 11*g + 6*g**2 - 11. Is 6 a factor of b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13\/13)\/((-1)\/(-1)). Solve h - 2 = -2*m - 3, 4*m = -h + l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.48, 6, 2, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -179 + 550. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 9078 + 39\/26 + 3\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 8*b**2 + 88. Let k(y) = -3*y**2. Calculate j(k(t)).\nAnswer: 72*t**4 + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*t - 184*t + 351*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -1120?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*d = 16 + 9, i + 5*d = -3. Suppose 18*o - i*o - 3 = 0. Suppose -2*t - j = -5*t + 60, o*j = -9. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c. Solve 2*n + w = -2 - c, 5*w = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33354?\nAnswer: 2, 3, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Let w = -1.2 - -0.7. What is the closest to -1\/2 in j, 0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6071, 23951, 53753, 95471, 149099?\nAnswer: 214631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/3 - (-26 + 24). Let a = 43 - 14. Let n = a + -5. Solve -3*h + 0*p = -o*p, 4*p - n = -4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t + 5 = -m, -3*m - 2*t = 20. Sort -3, 1, -2, m.\nAnswer: m, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2643132 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: What is the nearest to 1\/3 in 1\/13, 0.4, 5\/32?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/14)\/((-3)\/4). Suppose -k*g + 32 = 2*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 - 8*b + 22. What is the units digit of l(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -15052.5.\nAnswer: -15057.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 753144\/(-27) + -2. Let z = m + 27828. Let t = z + 68. Which is the second smallest value? (a) -0.5 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 398453861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 181069919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1474, -1172, -344, 1274, 3946?\nAnswer: 7936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -0.3 (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ad1bd - d?\nAnswer: ad1b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8\/5619 - 19682\/668661. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 - 136. Let c be (-12)\/o*15 + 6. Solve 10*w = c + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-6)*(-12)\/(-8). Suppose -d + 2*c = -2*c - i, 0 = 2*c - 6. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 32, 0.2, -0.2, 24\/17, -2\/11?\nAnswer: 24\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s = -52913 - 88228. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 29 = 7*a + 5*y, 5*a = y. Let x be 12*a\/(-2) + -2. What is the units digit of 2\/x + (-325)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u. Let k(g) = -4883*g**2. Determine y(k(f)).\nAnswer: 14649*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 784. Let x(k) = 38305*k. Calculate h(x(o)).\nAnswer: 38305*o + 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 447955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(-66) - 147\/(-18). Let f = 1 - 1. Sort f, a, -1\/6.\nAnswer: -1\/6, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 465 - 2?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/128 and -59\/4831152?\nAnswer: 38649216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**3 + 280*z**2 - 575*z + 290 = 0. What is z?\nAnswer: -58, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*1)\/sqrt(4) + 2*sqrt(17) + -2.\nAnswer: -2 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30290486 or -30290487?\nAnswer: -30290487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6320359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((210\/2)\/21)\/((-4)\/(28\/7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723913835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.06941, -3, 2.7, -2, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66*z + 112 + 23 - 63 wrt z.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 15, 54, 131, 258?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(130) - -5*sqrt(130)))\/sqrt(10) + -3 + -1*sqrt(1053).\nAnswer: -21*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, y: 7, d: 2, s: 4, p: 3}. Give prob of sequence ysop.\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -25. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2*-5 + 3*sqrt(153)*-3)\/((sqrt(1323) - sqrt(27))\/sqrt(3) + 6*sqrt(225)).\nAnswer: -19*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 5) to base 11.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3417 is divided by 171.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/11 - (-6066060014)\/(-77). What is n rounded to the nearest one million?\nAnswer: -79000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158138?\nAnswer: 2, 37, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*k**4 - a**3*k - 17*a**2 + 47881404*k**6 - 3*k**2 + 24660*k wrt k.\nAnswer: -24*a**3*k + 5745768480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 168 - (3 - (5 + -5)). Suppose -6*k + 11*k - x = 0. Calculate the smallest common multiple of k and 42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-3) + -1)*1. Let y = 6 + v. What is the derivative of 19*n - 2*n**4 - 19*n + y wrt n?\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*p = -2*p - 1, -3*p = -2*v - 5. Solve -5*b = -v*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*z - 3 = 100*z. Suppose -4*i = -4*g - 0 - 4, 4*i - 2 = 2*g. Let s be (0 + g)*(-3 + 2 + 1). Sort s, z, -11, 4 in ascending order.\nAnswer: -11, z, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2661257 is divided by 247.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + (1 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 4:19 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -470*x*z - 476351242*x + 248592*z wrt z?\nAnswer: -470*x + 248592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q - 6. Let x be m(-4). Suppose y - 7*f - 12 = -2*f, 0 = -2*y - x*f. Let p be (y\/20)\/(2\/(-5)). Is p greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 7*p**2 + 13*p + 52. What is k(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52862*d - 85 = -52867*d for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/1*-1 - -6. Let j be 4 + w + 9\/3. Solve 0 = -0*x + 3*x + j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.3 times 0.2\nAnswer: -4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 4*a - 45*a)*(3 + 2*a - 3).\nAnswer: -90*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/2 + 522*u - 1050.\nAnswer: 3*(u - 2)*(u + 350)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m*m**(-3)\/m*m)\/m)*m*m*m\/(m\/(m*m**4*m)) assuming m is positive.\nAnswer: m**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 15110. Let n = -10153 + t. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -171*l**4 + 43*l - 2?\nAnswer: -2052*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*y**2 - 179*y**2 - 443 + 535*y**2 + 214 - 176*y**2 + 229.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -650 (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.089252846 + -2.186622734. Let w = r + 60.27587509. Let m = w - 58. What is m rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*v - 2*v**2 + 77*v**4 - v**3 - 91*v**4 + 14*v to s*v + u + p*v**3 + w*v**2 + d*v**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7082 and -310.\nAnswer: -310.7082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -21. Let p(n) = n**3 + 5*n**2 - 4*n + 7. Calculate p(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 535, 0, 3 in increasing order.\nAnswer: 0, 3, 5, 535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -83. Calculate the greatest common factor of j and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-6))\/((-2)\/(-241)). Let j = r - -60. Suppose -9 = 3*h + 3*i, -2*h = h + 5*i + 19. What is the biggest value in -2\/15, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.61 - 1.6104098. What is v rounded to five decimal places?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195284.\nAnswer: 2, 48821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49*(-17)\/357)\/(1329\/(-270) - -5).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-720)\/60 + 14\/1. Let j(l) be the third derivative of 0*l + 1\/7*l**4 + 7*l**s + 4\/21*l**3 + 1\/735*l**7 + 0 + 1\/70*l**6 + 13\/210*l**5. Factor j(u).\nAnswer: 2*(u + 1)**2*(u + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4656 divided by -48.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15791, -126371, -426511, -1010981, -1974551, -3411991, -5418071, -8087561?\nAnswer: -11515231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 9380127.\nAnswer: 84421143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/525, 185\/3, -3, 2\/15, 1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -1317\nAnswer: -5268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 20 + 15*m)*(-m**2 + 0*m + 0*m)*(-85 + 45*m + 85) to the form v*m**2 + n + x*m**4 + q*m + w*m**3 and give x.\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -30, -42, -70, -120, -198, -310, -462?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 3*d**2 - 4*d - 3. Let y be b(-3). Solve s + y = -2*k - k, -9 = -2*s + 3*k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.2 + 0.2. Sort g, -5, 4 in decreasing order.\nAnswer: 4, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62233 (base 7) to base 11.\nAnswer: -10481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28349 (base 15) to base 7.\nAnswer: -1045035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 973397209, 973397207, 973397205, 973397203, 973397201?\nAnswer: 973397199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 289.3378 to one dp.\nAnswer: 289.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**2\/2 + 404*n. Let y(g) be the first derivative of g**2 - 4*g + 7. What is 3*d(m) - y(m)?\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.03 - -8.99. What is the smallest value in 9, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1 = 14. Suppose 4*p = l - 34, s*l + 3*p = -3 + 30. Find the common denominator of -89\/2 and -19 - -21 - (-85)\/l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4 + (1 + 1 - 1)*(0 + 0 - 2))*(2*x - x + x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 1:02 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -40386.3 to the nearest one thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-776639.\nAnswer: -7766.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -447 + 278. Let t = i - -61. Let a = 107.999939 + t. Round a to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k - 505 = 0. What is the remainder when k is divided by -5 - ((-148)\/8 - 54\/(-36))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 - 44. Suppose t*p = -15 + 15. Put p, -5, -1 in ascending order.\nAnswer: -5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 2*p**2 - 2*p**2 - p**2 + 6*p**2 - 3*p**2 + (2*p + 1 - 1)*(-4*p + 0*p + p))*(2*p + 4*p + 5*p).\nAnswer: -55*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 285*u - 1188.\nAnswer: 3*(u - 99)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3694 is divided by 168?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 996 is divided by 686.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 6.2. Let i = -7 + s. Which is the closest to i? (a) -4 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 1076.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 60, 75, 90?\n\"Answer: 15*i + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 7:31 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24198000 rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22587565 to the nearest integer?\nAnswer: 4753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*p + 636 = 0, v + 3*p - 159 = -2*p. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**5\/30 + i**3\/9 - 8*i. Factor w(v).\nAnswer: -2*v*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119295 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014051358 rounded to six decimal places?\nAnswer: 0.001405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7a8d8 (base 16) to base 13\nAnswer: -147637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 180\/28 - 15\/35. Let k = 6 - 5. Let m = -4423\/6 + 737. Which is the fourth smallest value? (a) 5 (b) m (c) q (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93006 is divided by 1937?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1579 is divided by 69.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 - (-8 + 9) - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**22\/x)\/x*x**(-17)*x*(x*(x*x**25)\/x)**(-47))**(-11\/2) assuming x is positive.\nAnswer: x**6699","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -1648549\nAnswer: 9891294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2428, -4720, -7012, -9304, -11596, -13888?\n\"Answer: -2292*v - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 915*u - 450*u - 463*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4924 - 4922. Let t = 67 - 118. Sort -0.3, t, d in ascending order.\nAnswer: t, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6530260*n**2*t**3 + 2*n*t**3 - 19*n*t + 2*n + 14969*t wrt n?\nAnswer: -13060520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 542*b**3 - 3*b**2 - 68*b + 206. What is the hundreds digit of v(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*q**2*y**2 - 6068980*q**2 - 14*y**2 - 3*y - 4064972 with respect to q.\nAnswer: -20*q*y**2 - 12137960*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 139 - 24*g + g - 3*g**2.\nAnswer: -3*g**2 - 22*g - 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -69*d**3*x - d**3 - 723*d**2 - 99*d*x + 24*d + x + 3 wrt x.\nAnswer: -69*d**3 - 99*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 860 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 754, 915, 1076, 1237?\nAnswer: 1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 162*v**2 - 2076*v + 4784.\nAnswer: 2*(v - 92)*(v - 2)*(v + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9117838.\nAnswer: 2, 127, 35897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**13)\/(w**(-2\/19)\/w))\/(w**12\/w**(8\/5)) assuming w is positive.\nAnswer: w**(447\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = t + 3*z - 20, -3*t = -3*z - 9. Suppose -t*s = -5*y - 10*s + 4, -20 = -y + 4*s. Solve -3 = -3*l, -n = l + y*l - 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -32*l - 49\/12*l**4 + 0 - 10\/3*l**3 + l**2. Find the second derivative of x(i) wrt i.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -v + 1302. Let s = v - 117. What is the highest common divisor of 40 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - a. Let q(z) = z**2 - 1. Let d(l) = -8*l**2 - 7*l + 15. Let k(h) = -2*d(h) - 22*q(h). Let o(n) = -k(n) - 2*t(n). Suppose o(u) = 0. What is u?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -0.4, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(153) + -3*sqrt(153)*1))\/(4*(sqrt(9) - sqrt(225)*-1)))**2.\nAnswer: 17\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-4))\/(-15))\/(19\/(-114))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.006 rounded to 1 dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 26, -47951, -1, -2 in descending order.\nAnswer: 26, 2, -1, -2, -47951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 948*-1416.\nAnswer: -1342368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4 = 1. Let a(b) = 2 - u*b - 3*b + 2*b - b**2 + 4*b. Calculate a(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1039 = 5*x - 3024. Find the second derivative of -409*k - 2*k**4 - 5*k**4 + x*k wrt k.\nAnswer: -84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13355 + 37962. Suppose -8222 = 39*v - m. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/3, 5, -5 in increasing order.\nAnswer: -5, -4, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 13*v + 18. Let k be m(-16). Let p be ((-1235)\/k)\/19 + 2\/(-12). Solve 0 = -3*z + 4*y, -y = -p*z - 1 - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -139 + 20 + 2177*s - 91 - 2167*s as y + g*s and give y.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1179357953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - -4*sqrt(50)*1) + ((sqrt(600) - (sqrt(600)*-3 + sqrt(600) + sqrt(600)))\/sqrt(12))**2.\nAnswer: 25*sqrt(2) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 410*m**2. Let t(k) = 278*k. Calculate p(t(j)).\nAnswer: 31686440*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 44*r**2. Let p(y) = 3152*y**2. Calculate b(p(g)).\nAnswer: 437144576*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen quarters of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnyyyenn. What is prob of picking 1 e and 1 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -3. Calculate the greatest common divisor of c and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h. Let s(o) = -2*o - 17. What is s(i(v))?\nAnswer: -2*v - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 10510 and 10524 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -911250?\nAnswer: -2\/455625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -9. Let x = 1.4 - j. Sort 1, 0.1, x in descending order.\nAnswer: 1, x, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 14*f - 166 = 12*f, 48 = 2*s - 4*f. What is the remainder when 106 is divided by s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.044?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139\/77 + 12\/7. What is the second biggest value in f, 2, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 6:27 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86846?\nAnswer: 2, 173, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2*m + 3*m)*(0*m - 4469 + 2*m + 4531).\nAnswer: 4*m**2 + 124*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-10)\/8)*5. Is (2\/3)\/(f\/(-186)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*c = -633 + 103, 0 = -o - 4*c + 139. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 1 - (16 + -64)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*q + 602 = -36*q. Let l(o) = 2*o**3 - 3*o + 3. Let r(p) = 4*p**3 - 6*p + 6. What is q*l(u) - 3*r(u)?\nAnswer: 2*u**3 - 3*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -1\/4 (c) 0.0131691 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16451054 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cim when three letters picked without replacement from {c: 2, o: 6, m: 1, i: 2, z: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -5*l**2 + 0*l + 0*l**3 - 1\/6*l**4 + 0. Does 24 divide w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8. Let x(c) = 2*c + 1. Let z(q) = q + 1. Let j(u) = -6*x(u) + 13*z(u). Let a(p) = -3*j(p) + 2*n(p). Find the first derivative of a(i) wrt i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -407 plus -0.07?\nAnswer: -407.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -12. Let h(w) = -2*w - 3. Determine h(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7301, -14438, -21575, -28712?\nAnswer: -35849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1024*l**2. Let k(c) = 61760*c**2 - 30879*c**2 - 30880*c**2. What is k(r(o))?\nAnswer: 1048576*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d**3 - 220*d**2 - 57*d - 850. Determine n(37).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = 0, -g - 3*g + 179 = 5*y. Let q = g - 37. What is the tens digit of 123 + 0 + q + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**6\/40 - 119*d**5\/20 + 1553*d**4\/4 - 2*d**2 - 265*d. Find the second derivative of g(n) wrt n.\nAnswer: 18*n - 714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 21. Let h be (-2)\/6 - ((-30)\/(-18) + 5). Let g = h + w. Calculate the remainder when 2 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491472446?\nAnswer: 2, 245736223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 188*u**4 + 185*u**2 + 11. Let n(o) = 95*o**4 + 92*o**2 + 6. Let j(l) = -11*n(l) + 6*z(l). Find the third derivative of j(w) wrt w.\nAnswer: 1992*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from {h: 4, d: 3, m: 2, w: 2, u: 1, f: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + -346995255879.\nAnswer: -346995255930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 51 - 181 = 5*h - 3*b + 126, -h + 8*b - 77 = 0 for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*m**2 + 1947*m - 486.\nAnswer: -3*(m - 162)*(4*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t + 5. Let n(k) be the second derivative of -2*k + 11\/6*k**3 + 0 + 11\/2*k**2. Give 13*g(s) - 6*n(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/5)*n)\/n**(2\/45) assuming n is positive.\nAnswer: n**(106\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.1, 4, 2 in increasing order.\nAnswer: -0.1, 0.2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 134*s**2 - 215*s**2 + 90*s**2 - 201*s**2.\nAnswer: -460*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1917245 - 1?\nAnswer: 1917244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2660*o - 911 = -2630 + 17679 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 636 and 21147?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 2*t**5 - 2*t**3 + (t + 5*t**4 - t)*(t - 6 + 6) - t**5 - t**5 + t**5.\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*t + 1221, -2*t + 1628 = 4*n + 3*t. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -853 + 1057. What is the smallest common multiple of 510 and d?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*l - 12*l - 3*l**2 - 22*l.\nAnswer: -3*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 10) to base 8\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**3 + 750*x**2 - 78876*x + 1767528 = 0.\nAnswer: -334, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -884, 501, 1886?\n\"Answer: 1385*i - 2269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 22. Suppose 0 = -y - 2*w - 9, 3*y - 3*w - m = y. Let f = 227\/126 - 19\/14. Which is bigger: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*20*15\/40.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5 - 66*u**4 + 156*u**3 + 9894*u**2 + 39159*u - 49140 = 0. What is u?\nAnswer: -15, -13, -7, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x + 3*x**4 - 6*x - 3*x**4 - 8*x**4 wrt x?\nAnswer: -96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 984 and 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (-1)\/(1\/5). Let w be (-16)\/(-12)*i\/(-42). What is the closest to w in 3, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 47 = 3*q, 4*q + 152 = 4*w + 60. Calculate the remainder when w is divided by 1 - 2*10\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.9408303.\nAnswer: -1.8816606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1505, 2013, 2497, 2945, 3345, 3685, 3953, 4137?\nAnswer: 4225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 + 0.64. Let v = n - -6.16. What is the second biggest value in -0.5, 1\/7, v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213112, 852623, 1918472, 3410659, 5329184, 7674047, 10445248?\nAnswer: 13642787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21622 + (7 - 2 - 10). Let s = 13627 - u. Round s to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109064453.\nAnswer: 109064453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34059*l**3*v*z + 114996579*l**3*v - 1569*l**3*z with respect to z.\nAnswer: -34059*l**3*v - 1569*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-40)*5 - -5. Let u be -4 + 30\/(-24) - (-15)\/i. Sort -1\/3, -15\/8, u.\nAnswer: -15\/8, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.1? (a) -0.3 (b) 0.4 (c) -0.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -36336, -72486, -108622, -144738, -180828?\n\"Answer: w**3 + w**2 - 36160*w - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-1) + 2 + -1. Find the common denominator of 3\/9 - 917\/1050 and v*(148\/(-16) - -2).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4362? (a) -122 (b) 2\/15 (c) 184\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 121132 - -2?\nAnswer: 121134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v + 2*v)*(-1 - v + 1) + 7*v**2 - 4*v**2 + 19*v**2 + 0*v**2 + 2 - 3*v**2 - 3.\nAnswer: 17*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101015*k**3*l**3 - k**3*l**2 + 3*k**3 + 9313*k*l wrt l?\nAnswer: -606090*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23707365 and 32085?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a**3 + 3*a**2 + 3*a + 9. Let l(y) = 6*y**3 - 4*y**2 - 4*y - 9. Let p(t) = -4*j(t) - 3*l(t). Differentiate p(c) with respect to c.\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4))**(-12))**50 assuming h is positive.\nAnswer: h**2400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16054?\nAnswer: 2, 23, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -4065\nAnswer: 4065.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 + 62*t**2 - 216*t + 42. Determine n(-34).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507314091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 916 a factor of 586875637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -19435, -5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q. Let r be u(3). What is the third derivative of -2*w**2 + 6*w**3 - 3*w**4 - r*w**3 wrt w?\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 494\/38*2\/13. Find v, given that -4*v**2 + 88*v + 3316 - 5*v - 964 + 85*v + 7*v**f = 0.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -24 - 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79857 and 513.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 354 and 180?\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -20. Solve 3*v = -q*y + 16 + 3, -y + 5*v = -15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 2:15 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 3305a?\nAnswer: 33055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 + 21*z. Let f = -141 - -134. Let k be n(f). Suppose -3*g + 1 + 2 = k. Put g, 4, -5, -1 in decreasing order.\nAnswer: 4, g, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 249491 and 3256?\nAnswer: 1995928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 52447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31244)\/(-6) - 52\/156 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*g = 40, -x - x + g - 75 = 0. Let a(v) = -4*v**2 + v + 5. Let i be a(-4). Let h = x - i. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -287179*d**3*q*x + d**3*x**2 - d**3*x + 27662*d**3 - 11*d**2*q*x**2 - 6*d**2*x wrt q?\nAnswer: -287179*d**3*x - 11*d**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1.03 (b) -2\/5 (c) -46 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835016 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*y - 4*y - 15*y - 6*y in the form m*y + n and give m.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + h + 4 = 0, 3*x = 5*h - h + 16. Sort x, 2, 6 in descending order.\nAnswer: 6, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284735951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/12 and 25\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17\/(20\/4 + -4). Let v(s) = s**2 - 14*s + 31. Let t be v(k). Round t to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 13*j**2 + 0 + 68\/3*j**3 + 0*j**4 - 2\/15*j**5 + 1\/20*j**6 + 0*j. Find the first derivative of o(d) wrt d.\nAnswer: 18*d**2 - 16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a + 6. Let j be n(12). Which is bigger: j or -67?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*l + 20, -10*l + 14*l = s + 20. Solve -l*a - 5*t - 2 + 37 = 0, -23 = -4*a - 3*t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 2829820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 405973747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 5 + 1 + (-711)\/252. Is -1 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-775)\/45)\/(-5) + 16\/(-36). Suppose 2*q - 2 = q. Suppose q*f - 5 = -h, 2*f + 2 - 5 = h. Solve 2*x + 0 + g = 3*m, 5*m - 21 = -f*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.3, -6.803, 477, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (406\/6 - 0)*(-101 + 104) is divided by 53.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*sqrt(153) + (-2*sqrt(153)*-3 - sqrt(153))\/sqrt(9))*3.\nAnswer: 3 + 69*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2100201 - 11211211?\nAnswer: -21012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 436878, 436995, 437190, 437463?\nAnswer: 437814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 + -6)*20\/(-1). Let p = i - -26. What is the third derivative of 3*v**2 + 6*v**6 - 11*v**2 + v**p wrt v?\nAnswer: 840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000100001 (base 2) to base 9.\nAnswer: 2762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18041.07l?\nAnswer: 18041070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3838 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 11*i**3\/2 + 17*i**2\/2 + 445*i. Let t(w) = 1. Let p(b) = 4*b - 10. Let j(l) = p(l) + 12*t(l). Calculate -51*j(g) + 6*u(g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -139 + 5*m + 63 + 64. Let v be o(6). Solve 2*c = -4*c - v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 366500 and 36?\nAnswer: 3298500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 366127212*s**3 - 96127631*s + 3 wrt s.\nAnswer: 2196763272*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 617501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 8*h**2 + 10*h - 9. Suppose 31 + 83 = 3*n. Let w = n - -7. Calculate the remainder when w is divided by f(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/12)\/(1\/((-24)\/(-176)) + 45\/(-27))?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1562 times -842036?\nAnswer: 1315260232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.2730947 - -14.2411. Let w = u - -0.032. What is w rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -30884433810.\nAnswer: -30884433810.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 19*b - 18. Let a be x(-20). Suppose 0 = m + a*f - 29, -30 = 3*m + 5*f - 118. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + i - 2. Let f(s) = -30*s - 28. Let x be f(-1). Let d(c) = -2*c**2 - 1 + 0 - 2 + 2*c. Let v(h) = x*d(h) - 3*r(h). Calculate v(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 16062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 z when four letters picked without replacement from {c: 1, z: 3, i: 2, b: 3, u: 1, v: 5}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 2624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 171 + 151 = 0. Which is the nearest to n? (a) -3\/7 (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.117898 and -0.714.\nAnswer: 0.084179172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 5*b**2 - 3*b + 3. What is x(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-4))\/l**3)**43*(l**(-4)\/(l*(l**(4\/5)*l)\/l))**(-4\/45) assuming l is positive.\nAnswer: l**(-57934\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i - 5768 + 5863 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (3 + (-1 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3703270 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2164.8588699 - -2177.85887. Let p = -13 + g. What is p rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 2*d - 243 + 239 = 0, -5*d - 13 = 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 10:00 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -12*u + 68. Which is greater: 18 or u?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1334*r - 17*r**2 - 1 + 688*r + 666*r)*(-1 - 1 + 3).\nAnswer: -17*r**2 + 20*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 16*r**2 - 3*r - 168. Suppose 0 = -f + 2*a + 11, -a + 8 = -3*f + 51. Calculate the lowest common multiple of i(f) and 134.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.05 (b) 2\/19 (c) 0.4 (d) 4\/5 (e) -1.4 (f) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 14*p**2 + p + 15. Let m be i(-14). Differentiate y - 7*y + y - m wrt y.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 125\/6?\nAnswer: 125\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**4\/4 - 8*l**3\/3 - l**2\/2 + 10*l + 1. Let x be k(8). Is 4*4 + (-2)\/x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8 = -z. Is 3\/4 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68908172 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-4) - 3\/(-2). Suppose n = 3*m - i - 221, -46 = -m + 4*i + 13. Suppose 5*w + m = 5*f, 2*f + 2*f = -5*w + 33. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94080 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 5. Let k(z) = -2*z + 11. Let t(y) = -4*y + 22. Suppose -3*i - 1 + 13 = 0. Let q(p) = i*t(p) - 9*k(p). Determine -3*q(d) + 7*u(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 78796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 0.2 (c) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - -0.47. Let f = 0 - -1. Which is the closest to f? (a) 3 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -18, -3, 1, 191.\nAnswer: -18, -3, 1, 4, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8 = -3*l. Suppose 2 = -l*u + 22. Solve -7*d + 6*d = -u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -3*v + 2*v + 16, 4*v = 4*m - 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**4*j**(-25)*j**23\/(j\/j**22) assuming j is positive.\nAnswer: j**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 39 = -2*o - o, -27 = -2*o - u. Solve -6*t + o = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/42 - 144\/(-189))*-38*(-42)\/560.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39840 - 39840 + 11*b**3.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 = 2*l - 5, 18 = l - 4*r. Suppose l*n + 8 = -3*d, -3*d = -2*n - 2*n + 20. Let a = 9 + d. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1634*w + 3430*w - 2326*w + 3650*w as l + n*w and give n.\nAnswer: 6388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1974 - 521. Suppose -4*h = -d + 278, 7*h + o = 5*d + 8*h. Is d a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/17)*u**(2\/7)\/u*u)\/(u**(2\/5)\/u)**(-35))\/(u**5*u*(u*u**(1\/6))\/u*u)**34 assuming u is positive.\nAnswer: u**(-94342\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/72194 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1847830, -1847829, -1847828?\nAnswer: -1847827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -291 + 296. Suppose -4*p - h*f + 34 = 0, 2*p = 4*f - 0 + 4. Solve -c = -p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 0)\/(-3)*(0 + 1). Let o(y) = 0 - 8*y - 1 - 4*y. Determine o(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -25 - (2 + 12 + -1086 + 1083)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 24 = 2*m. Suppose -4*j + j = -m. Suppose 45 = 3*o + 15. Solve 0 = -l + 3*i - o + 27, -j*i = 20 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -131, -153, -181, -209, -231, -241?\n\"Answer: i**3 - 9*i**2 - 2*i - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4359 and -0.3.\nAnswer: 0.43077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147903?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.011+4.74298006363\nAnswer: 4.75398006363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5\/4)\/l)**1)**(-30\/7) assuming l is positive.\nAnswer: l**(135\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3 = -12. Let y(x) be the first derivative of -2*x + 1\/4*x**4 + 5\/3*x**3 - 2 - x**2. Determine y(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 794.5062g to micrograms.\nAnswer: 794506200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-39)\/(-182)*-4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20479113516 from -497.7.\nAnswer: -20479114013.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 694750 and 3970.\nAnswer: 694750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p = -4. Let j = p - 2. Suppose j*f = -2*f + 180. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29282311 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccciycciicciiic. What is prob of picking 2 c and 1 i?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 12:34 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-1))\/9*(8 + -2). Suppose 4*q = t*q + 2. What is the hundreds digit of q\/(-3)*(-351 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**2 + 9*w - 7. Let v(g) = 2*g**2 - 4*g + 3. Let y(t) = -3*k(t) - 7*v(t). Let d be y(1). List the prime factors of d + 8 - 1\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 13*q**2 - 2. Let k be j(2). Let o = k - 30. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b = -39 + 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - -2*(sqrt(85) - (-1*sqrt(85) + sqrt(85)))) + (6*(sqrt(85) + (sqrt(85)*5 + sqrt(85) - sqrt(85))) - sqrt(85)))\/(-4*sqrt(180)*-4*6).\nAnswer: 19*sqrt(17)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 26*l**2 + 6\/5*l**5 + 0 + 11\/24*l**6 + 0*l + 0*l**3 + 0*l**4. Find the third derivative of t(v) wrt v.\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y - 65*y - 276 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.194 + 0.124. What is the nearest to -1 in 2, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - -16. Calculate the highest common divisor of 111 and c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.18 + 1.58. Let o = -7 + 65\/9. Put n, 0.5, o in decreasing order.\nAnswer: 0.5, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 10 - 10 + 27*m)*((5 - 2 - 2)*(0*m - 2*m + 0*m) - 5*m - 3*m + 0*m + m + m - 3*m - 1 - m + 1) in the form v*m**2 + s + u*m and give v.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-5166)\/(-15498))\/(-1*(-1)\/((-455934)\/(-2)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.15 (b) -1\/3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (15\/2*16\/(-12))\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c*l*u*y**2 - c*l*u - c*l*y - 26*c*u*y**2 - 3*c*u*y - 7*c*y**2 - 200*c*y + u*y - y**2 wrt y?\nAnswer: 8*c*l*u - 52*c*u - 14*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.06 - 249.\nAnswer: -258.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 861883270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 240 + 18 = -5*p, 41*p - n = -107*p + 247 + 102 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -a + 4*a. What are the prime factors of 11\/1*a\/(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.2 + 18. Let v = 8.8 + o. Let l = 34.999914 - v. Round l to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -24) + (-16 - 22) - -41.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.996443 millennia to decades.\nAnswer: 399.6443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1346409649?\nAnswer: 13, 83, 95987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 19 = 4*t, 4 = 5*t - y - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*d + 2 + 2 = -2*u - 139*d + 281*d, -11 = 2*u - 5*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 36*y**2 - 30*y + 160. Let o be i(-35). Let v(q) = 7*q + 90. What is v(o)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -415074, -830012, -1244950?\nAnswer: -1659888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 6. Let r be 4\/((k\/3)\/1). Suppose s = 6 - 3. Put s, r, 0 in descending order.\nAnswer: r, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-1\/4)*p))**(11\/5))**(2\/19)*(p\/(p*p**(-2\/7)))**(-4\/7)\/(p**(1\/2)\/p*p**(-2\/7)) assuming p is positive.\nAnswer: p**(2089\/4655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2233303333 (base 4) to base 7.\nAnswer: -6056332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 10*r**2 - 4*r - 5. Let j be z(-6). Let h be (-11 - -10)*(-14 + -365). Does h = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1398147192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 24811 divided by -583\nAnswer: -24811\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*f - 9*f - 29, 0 = 2*r - 4*f - 52. What is the units digit of (r\/(-16))\/(3\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 14. Let o be (y\/10)\/((-13)\/65). Let f(u) = 5*u - o*u - 3*u + 0*u. Let p(l) = -15*l**2. Determine f(p(n)).\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 8*y - 51. What are the prime factors of t(17)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30, -28, -26, -24, -22, -20?\n\"Answer: 2*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2. Let s be 24\/16 - 3\/2. Let c(j) be the second derivative of 0*j**2 + 3*j + 1\/6*j**3 + s. Give a(c(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5 (b) 4\/5 (c) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(144)\/sqrt(4))\/sqrt(12) - (sqrt(3)*2 + 5))**2*3.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*j - 10 = 0, 2*z = 7*z - 3*j + 18. Let a be z\/(-2 - 10\/(-8)). Suppose 0 = a*x - 5*v - 654, -v - v - 326 = -2*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.9 + -16.638. Put -2\/13, y, -1\/2 in ascending order.\nAnswer: -1\/2, -2\/13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 581712.7 centuries to months.\nAnswer: 698055240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2940) - (sqrt(2940) - sqrt(2940)*2) - sqrt(2940))\/sqrt(3) + 4*3*2*sqrt(80)\/sqrt(4))**2.\nAnswer: 40500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + 44*s + 50. Let b be o(23). Suppose 2*q - b*x + 2564 = 0, -4*x + 20 = -0*x. What is q rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010000000100101 (base 2) to base 14\nAnswer: 10d25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*s**2 - 2 - 5739*s**3 + 211*s**2.\nAnswer: -5739*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4bc28 - 4?\nAnswer: 4bc24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97.699558 - 100.6993. Let h = -7 - -10. Let r = h + n. What is r rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*i + 31, 12*v - 8*v = 5*i - 64. Let g be 1 - 3 - v\/((-55)\/(-10)). Solve 2*w - 10 = -n - 3*n, g = -5*n + 2*w + 17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5191*s + 23 + 5186*s + 8*s**2 + s**3 + 5183*s - 15556*s to p + q*s**3 + f*s**2 + z*s and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23005 is divided by 469?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 10:24 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 + 20 + 2 - 16 - 3027*r + 26 with respect to r.\nAnswer: -3027","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (237\/39 + -7)\/(-2). What is the closest to 0 in 1, -4, -4\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 2*b**6\/15 + b**5\/12 - 11*b**2\/2 - 145*b. Let f(u) be the first derivative of r(u). Find the third derivative of f(s) wrt s.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128\/13 - 12\/13*h**2 + 2\/13*h**3 - 48\/13*h = 0. What is h?\nAnswer: -4, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -4*b - 3*k, 0 = 2*b - 3*k + 5*k - 64. Let p = b + 21. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/(p*(p*p**3)\/p)*p)))\/p*p*(p\/p**21)\/p*p)\/(p*p**18*p**29) assuming p is positive.\nAnswer: p**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 294233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 + 28*o - 68. Let w be y(16). Let i = w + 133. Calculate the common denominator of -53\/8 and (525\/(-32))\/(-15) - (i + -1).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 9, 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 355*l + 20 + 1155*l - 6.\nAnswer: 1510*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -828 + 988. Does 40 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y - 47 + 54 + 130 in the form a*y + o and give o.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 4*z + 19, -o + 3 = 3*z + 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1900)*3*6)**2.\nAnswer: 720*sqrt(19) + 615604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 101212 (base 5) to base 7\nAnswer: 12433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1577430 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 1, -196, -1.\nAnswer: -196, -5, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i**2 - 118*i - 396. What is r(-3)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f - 1 + 1. Let h(b) = -b**2 - 14*b + 5. Let m be h(-13). Let s(l) = -11*l + m*l - 6*l. Calculate s(c(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1925713669 + 324619026. Let p = g + -274535987535\/122. Let z = p - 37715. What is the common denominator of -35\/2 and z?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuz when three letters picked without replacement from {u: 4, j: 3, z: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2160 and 438624.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -322010 (base 5) to base 3\nAnswer: -112220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 272 + (-9)\/3. Suppose -4*d = -4*c + 200, d = 2*c + 3*c - k. What is the remainder when c is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -126701, -506817, -1140351, -2027303?\n\"Answer: -126709*s**2 + 11*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50.86 + 0.86. Let r = n - -86. Let q = -42 + r. Sort 0.4, -2, q in ascending order.\nAnswer: q, -2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14739004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 6:48 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44 + a?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -573486, -573351, -573214, -573075?\n\"Answer: d**2 + 132*d - 573619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 342\/83 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 5*s**2 - 5*s + 7. Let x be n(3). Suppose p - 94 = x. Suppose -2*f + 4*c = 6*c - p, -232 = -5*f + 2*c. Does 24 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*c*h**2*m**3 - 2*c*m - 5*h**2*m**3 + 2358*h**2 - 40666*h*m**3 + 2*h*m**2 + 6*h wrt h.\nAnswer: 106*c*m**3 - 10*m**3 + 4716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 1)*(0*g**3 + 0*g**3 + 2*g**3) - 8844*g**2 + 8844*g**2 - 39*g**3.\nAnswer: -29*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/76)\/((-12)\/(-64)*4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaajaaj. Give prob of picking 1 j and 3 a.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4379791453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 52*x**2 - 110*x + 247. Give y(-54).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -88515345.2154 and 3.5.\nAnswer: -88515341.7154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 11*h + 116. Suppose 0 = -8*r + 2*r - 114. What are the prime factors of x(r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480 and 298485.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x + 10. What is the remainder when u(-7) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313 (base 6) to base 9.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a second in milliseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -214*m**2 - 10*m + 1. Let d(y) = 215*y**2 + 12*y - 1. Let t(q) = -6*c(q) - 5*d(q). Is t(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/33 + 448\/1496?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/24 + (-590)\/(-4). Is y\/24 - (-2)\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 13. Let n(y) = -1. Let l(z) = -2*n(z) - x(z). What is l(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 3:48 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 > -1896\/151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1764\/353 + -20110\/3883. Let r be (0 + 1)*4\/(-10). Let b = 4.7 + -0.7. Sort r, b, a, 0.\nAnswer: r, a, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 65457, 131903, 198349, 264795?\n\"Answer: 66446*n - 989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8 = 0, 5*y - 36 = 4*h + 10. Let o(b) = -b**3 + 7*b**2 - 5*b + 1. Let n be o(6). Solve -y*k + n = -23 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g + 40638 = 40566 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*b + 135 = 0, 2*b - 6 = 4*b. Suppose 4*j + 2*m = 7*m + 158, 4*m = -4*j + 176. What is the units digit of r\/18*j\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((6*7)\/(-3))\/(-2) + 2. Let n(u) = -3*u + 17*u + 15*u - g*u. Let p(m) = 204*m - 2 - 205*m + 2. Determine p(n(d)).\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 + 119 - 119.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -4.03\nAnswer: 1.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3989 + 2?\nAnswer: 3990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/138797 (b) 2 (c) 4\/5 (d) -835\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7930\/4 + 138\/92.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*j**3 + 28*j**3 + 8*j**3)*(82*j - 186*j + 81*j).\nAnswer: -506*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {f: 6, t: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -8. Suppose m = -5*x + 88. 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: Let n = -13 - -19. Let w = 47 + 4. Suppose w = 3*b - 0*b. What is the remainder when b is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -2*b + 4, 2*b - 13 = -6*d + d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 3*s + 2*s)*(6*s - 2*s - 2*s + (2 - 3 - 1)*(-2*s - 2 + 2) + s + 2 - 2 + 0*s - 6*s + 2*s) + 11*s**2 + 15*s**2 - 18*s**2 + 1.\nAnswer: 11*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2736) + 3))**2.\nAnswer: 1800*sqrt(19) + 68625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6876739836?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6827590 (base 10) to base 16\nAnswer: 682e46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6191 and 0.7?\nAnswer: 0.43337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2338.\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -11*t. Let p(f) be the third derivative of 5*f**4\/12 + 4*f**2 + 26*f. Calculate d(p(o)).\nAnswer: -110*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 103459*l**4 + 890623 wrt l.\nAnswer: 413836*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 - 34807 - 34815 - 4*o**4 + 60*o + 69605 as b*o + p*o**4 + d*o**2 + n + t*o**3 and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c + 5051d?\nAnswer: 5055a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/3594724 and -95\/196.\nAnswer: 25163068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.344571087 rounded to three dps?\nAnswer: 0.345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2454*d**6 + 4863*d**2 wrt d?\nAnswer: 294480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 170053821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13770 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14015140 (base 6) to base 12.\nAnswer: 1a74b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 137? (a) 4 (b) -1\/11 (c) -2\/13 (d) -2\/7 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*s - 4580 = 149*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -550, -2745, -6572, -12025, -19098, -27785?\nAnswer: -38080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.695 + -2.694994074. Round m to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**2 + 19*u - 63. Calculate g(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b - 3*b - 2*b**2 + b. Let o be i(-2). Which is bigger: o or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 471 in -1\/2, 2, 1\/3, 5411, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3199*2\nAnswer: -6398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -52a9 (base 16) to base 12\nAnswer: -102b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -141 + 161. Solve 6*v = 2*v - b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 2:45 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 2*d - 30, 4*k + 3*d + 259 = 274 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22, 34, 58, 94, 142?\n\"Answer: 6*r**2 - 6*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394985 is divided by 17173.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -28*b. Calculate n(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) 248 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 567 - 46808?\nAnswer: -46231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 8868 = -1252. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 50, 98, 156?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/667 and -13\/25085.\nAnswer: 576955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4770 + 4793. Solve 25 = 2*f + g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14096 is divided by 243.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1339 divided by 2052.\nAnswer: 1339\/2052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + 1303?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36*((-42)\/(-12) - 5 - 1). Let a be 8\/b*(-5)\/2. Let 0*o + a*o**2 - 2\/9 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 513, -167, 0.1122?\nAnswer: 0.1122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1083*c. Let a(h) = 2*h. Give a(u(p)).\nAnswer: 2166*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 613\/2 less than -110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 277913 (base 10) to base 7\nAnswer: 2235146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**3 + 90*h**2 + 8*h. Let m(q) = 2*q**3 - 30*q**2 - 3*q. What is -8*m(t) - 3*r(t)?\nAnswer: -t**3 - 30*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**2 - 27*n + 31 = 0.\nAnswer: -31\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -10 - 9 - (-1 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c**2 - 10*c + 10*c + (4 - 4 + c**2)*(52 + 20 - 1) + 0*c + 2*c**2 + 0*c - 2*c**2 - 1 + 0*c**2 - 1.\nAnswer: 77*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*f - 75. Suppose 6*q - q = -f. Let b = -13 - q. What is the remainder when 4 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*s + 9. Let r be (-2)\/s + 11\/3. Let q = 0 + 3. Solve -3*t - q = r for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -45. Suppose 3*o = -c, -7*o + 75 = 5*b - 2*o. Calculate the remainder when b is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j**2 + 1. Let p be (-126)\/168 - (-3)\/(-12). Let x(b) = -b**2 - b + 1. Calculate p*c(k) + 3*x(k).\nAnswer: 4*k**2 - 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-70 - 39 + 26)*(2 - 5 - 1)*(-p + 3*p - 3*p + (-3*p + 3 - 3)*(-2 + 2 - 2)) in the form y*p + f and give y.\nAnswer: 1660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 18*v - 51 + 19*v.\nAnswer: v - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, c: 2, s: 8}. What is prob of picking 1 c and 2 i?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/7 - 9616*s**2\/7 - 3960309*s\/7 - 416941110\/7.\nAnswer: -(s + 213)**2*(s + 9190)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71226, 70964, 70702, 70440?\nAnswer: 70178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.41, 1, 51, 54, 1\/2, 0.1 in increasing order.\nAnswer: -0.41, 0.1, 1\/2, 1, 51, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4 = -4*n. Let d be (n - -7) + -12 + 8. Suppose -d - 6 = -5*t. Solve i - 3*w = 9, -5*w - 14 = -t*i + 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1892, 4449, 7006, 9563?\n\"Answer: 2557*b - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/((-186)\/(-155))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + b + 6. Let s be p(0). Suppose 2*i - 2 = -5*g - 3, -s = -4*i - 2*g. Solve i*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -1\/3*k**4 + 2\/3*k**3 - 37*k + 0 + 12*k**2. Determine z so that l(z) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16662057 is divided by 226.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-342)\/2*(202 - 244)?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 b when two letters picked without replacement from {b: 1, s: 3, f: 1, x: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -37912 < -80.76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101 + -89. What is the lowest common multiple of 30 and (s\/(-8))\/(((-9)\/6)\/3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -446 + 65. Suppose 4*b = -b + 5*a - 560, -b - l = -4*a. Let n = b - -197. Calculate the greatest common divisor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-3))\/(1\/21). Suppose 675 - 311 = 4*o. Let b be 2\/5 - -2*o\/70. Solve d*y - b*y + 16 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 2:14 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 0*g**7 + 2*g**2 + 0*g + 0 + 0*g**6 + 0*g**3 + 5\/336*g**8 + 1\/15*g**5 + 0*g**4. Find the third derivative of y(w) wrt w.\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(-20) + (-6)\/(-4). Which is the nearest to -2? (a) -2\/15 (b) 1\/4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 23324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-1152)*4)\/((-4)\/36)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10972742 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 806*t + 7416.\nAnswer: -2*(t - 412)*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 31. Give c(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 10*r + 142. Let l be f(-18). Let z = -671\/8 - -84. What is the nearest to 27 in -3, z, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577166385 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-832)\/96 - (-1)\/(-6)*2. Let v(g) = -g - 9. Let r be v(-10). Let p be (-8)\/48 - r\/(-6). Put x, 4, p in descending order.\nAnswer: 4, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-9))\/2 - (-2)\/(-9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4366*d + 13092. Determine m(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + h + 5*h)*(2 - 2 + 2) - 28*h + 5*h + 9*h + (6 - 3 - 2)*(-4*h - 2*h + 4*h) - 4*h + h + 4*h - 3 + 3 - 2*h + 4*h + 0*h - 2*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3219640990466+3\nAnswer: 3219640990469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1655*u + 7550*u = 128734 + 36326 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 9 = 0, -5*m - 9 = -2*l - 14. Solve 5*w + 4 = -21, -l*t + 5*w = -15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 501 + 239. Let h = z + -42. Let r(q) = q**2 - 3*q + 4. Let a be r(3). What is the highest common factor of h and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -314, -705, -1252, -1955?\nAnswer: -2814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -181, -277, -387, -517, -673, -861, -1087?\nAnswer: -1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.716944km in nanometers?\nAnswer: 2716944000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + x**2 - 5*x. Let j be a(0). Suppose l = 3*q - j*l, 3*q - 5*l + 12 = 0. Let p(d) = -25*d**2 + d - 1. What is p(q)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26366117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 7:33 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589635 is divided by 99?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 61*x + 435. Calculate q(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.342 + 57.342. Are n and 0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-o - 2*o + 4*o) + 1110 + 0*o - 1061 + 2*o + 11*o + 46 - 46 + (-o - 5*o + 4*o)*(1 - 3 + 3).\nAnswer: 13*o + 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1214786 (base 9) to base 12.\nAnswer: -2798b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223 (base 4) to base 8.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.39 at least -1711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 3*g + 2. Let z be x(3). Let k be (-145 - (-8)\/z)\/(-3). Let t = k + 7. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 1. Let q(h) = -1637*h**2 - 10*h + 5. Calculate -q(u) - 5*t(u).\nAnswer: 1637*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 66*t**2 - 75*t + 331. Determine v(67).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3 + 6 = 3*t, 4*z - t + 1 = 0. Suppose z = -3*l - 0 + 6. Suppose 0*x - 7 = x + n, -4*x = -l*n + 4. What is the nearest to 1 in 0, x, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*z = -192, d - 34*z - 206 = -32*z. Suppose 3*m = -2*x - 67, 2*x - m = 7*x + 200. Let o = d + x. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 2001?\nAnswer: 26013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 - y**3 + 0*y**3 + (-5 + 0 + 4)*(17*y**3 + 624 - 624).\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/2 - 6*r**3 + 10958*r**2 - 43584*r - 131040 = 0. What is r?\nAnswer: -156, -2, 6, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*g + 3*g - 3*z, 3*z = 3*g - 9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -175466 <= -175510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1999514.844 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/(-3))\/(-136))\/((-3)\/2*(-18)\/81).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1))**(-4\/17))**(6\/19) assuming l is positive.\nAnswer: l**(-48\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.3 (b) 2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*v - 24264 = 283*v + 49*v for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 33723102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -186*d**2 - 59*d**5 + 186*d**2 + (-1 + 1 - 2*d)*(0*d**3 + 0*d**3 + 2*d**4) + (-4 + 1 + 5)*(3*d**3 - 3*d**3 - 2*d**5).\nAnswer: -67*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/5651905 and 59\/16660.\nAnswer: 22607620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2, -339\/19, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - 1)*5\/(-10). Suppose 0 = -5*f - w*m + 25, 5*m - 13 = 3*f + 6. Solve 11 = 3*c + f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -412110462*w**4 + 50113*w + 1244 wrt w?\nAnswer: -4945325544*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/1827230678?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 475055 and 285033?\nAnswer: 1425165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**3\/6 + 22*x. Let r(p) = 0*p + 0*p - p - p. Calculate y(r(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 692063377.1 to the nearest 100000.\nAnswer: 692100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*o - 621*o + 399*o = 6008 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 100582967 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 10:26 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1.96. Let s = g - -0.74. Let m = -5.264 + 7.264. Which is the closest to -0.1? (a) m (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7482296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 2*a**2 - a**2)*(182 + 62 + 104).\nAnswer: -348*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/(15561\/(-162))*(-89)\/2. Let d = -6084 - -79238\/13. Let h = d - k. Calculate the common denominator of h and 32\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 967, 2304, 4187, 6622, 9615?\nAnswer: 13172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 1 - 1 - -9. Let g(h) = 3*h - 9. Is g(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7 = 5*m + q, -5*m - 15 = -5*q. Let j = -240313\/1600 + -7\/1600. Let s = 151 + j. Which is the nearest to m? (a) 5 (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -16 + 12. Suppose o*v - 2 = -t, 0 = -0*v - 4*v + 2*t + 12. Let z(p) = -1 - 4*p**2 + p**3 - 4 - 6*p - 3*p**2 + 2*p**v. What is z(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 143847954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -224, -173, -24, 271, 760?\n\"Answer: 8*f**3 + f**2 - 8*f - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*o = -4*f + 23, 3*f - 5*o = 5. Solve 0 = 2*w + 9 - f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2302233202032 + -2?\nAnswer: 2302233202030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 32*d**2 + 525*d + 39. Determine m(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -40. Suppose -7*j - v = 2*l - 3*j, 0 = -l - 4*j - 16. Factor 0*f - 6\/5*f**2 + 2\/5*f**3 + l.\nAnswer: 2*f**2*(f - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53853*i - 741 - 26927*i - 26929*i in the form f*i + n and give n.\nAnswer: -741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 132 = 4*y + 2*k, -y = -3*k - 72. Calculate the greatest common divisor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nknnnkcnkc. What is prob of picking 1 k and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166008 divided by 55336.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 0 - 5*q**2 - 3\/2*q**3 + 9*q + 1\/12*q**4. Factor w(y).\nAnswer: (y - 10)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000430556919 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 970, 1476, 2322, 3508, 5034, 6900?\n\"Answer: 170*x**2 - 4*x + 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1328429 is divided by 529?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j**2. Let n(u) = 5*u + 3. Let b(d) = -15*d - 8. Let y(x) = -3*b(x) - 8*n(x). Give y(g(o)).\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or 9\/26?\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9*12\/1296 + (4 - (-581)\/60). Factor 8\/5 + t*k**2 + 76\/5*k.\nAnswer: 4*(k + 1)*(17*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23835 by -6.\nAnswer: 7945\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3011 + -1?\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f + 7. List the prime factors of x(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6935236 divided by -322\nAnswer: -21538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or 11575?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -408?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2375 = -385*v + 27400. Calculate the remainder when 814 is divided by v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -54*r**2. Let k(m) = m - 956. Give k(o(w)).\nAnswer: -54*w**2 - 956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**6\/120 - p**5\/80 + 3*p**4\/32 - p**3\/12 - 6*p**2. Factor r(g).\nAnswer: -(g - 1)*(g + 2)*(4*g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = 10*f - 309. Solve -f*a + 20*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -170, -181, -192, -203?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 3*u - 330.\nAnswer: 3*(u - 11)*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 8. Let q(c) = 6 + 6 - 2 + 5*c**3 - 2*c**3 - 10*c - 8*c**2 - 2*c**3. Determine q(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 64, -83, -444, -1019, -1808?\n\"Answer: -107*z**2 + 174*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c - 1. Let i be n(-1). Solve 3 = -s - 0*s + i*k, -2*s = 2*k - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176491*-2\nAnswer: 352982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 16*j**2 + 3*j + 52. Let w be d(-16). Let r(a) be the second derivative of -3*a**2 + 0 + 1\/2*a**3 + 1\/4*a**w + 5*a. Let r(n) = 0. Calculate n.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*s**4 + 31*s**4 - 10*s**4 + (0*s + s**3 + 0*s)*(3*s - s + 0*s) + 4*s**4 - 2*s**4 - s**4.\nAnswer: 40*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1520736106?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 627, 1289, 2047, 2907, 3875?\n\"Answer: s**3 + 42*s**2 + 529*s + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 0 + (25 + -47 - -30) - 8?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 339, 728, 1117?\n\"Answer: 389*r - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 206171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1, -37, -107, -203, -319, -449?\n\"Answer: s**3 - 22*s**2 + 21*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1*sqrt(72) - sqrt(72) - sqrt(2) - sqrt(2)) + (sqrt(50))**2*-2).\nAnswer: 14*sqrt(2) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 574607.1 * -0.4.\nAnswer: -229842.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a - 2 = 2*f, -2*a + 5*f + 4 = 0. Find the third derivative of 850*g**a + 3*g + g**4 - 5*g**4 - 854*g**2 wrt g.\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41\/3362)\/((-11)\/19800) - -22\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1289, -721, -167, 367, 875, 1351, 1789?\nAnswer: 2183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + 7*w**2 - 7*w + 16. Let k be m(3). What is the tens digit of ((-24)\/k)\/2 - -49?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, n: 3, h: 1, m: 2}. What is prob of sequence tmm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 97 = -34*s - 28. Let a be (-5 - 0)*6\/(-10). Suppose -s*d + 4*d = 3*j + 34, a*d - 114 = 3*j. What is the greatest common factor of d and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 10*o**5\/3 + 6120*o**2. Let i(v) = -15*v**2. What is c(i(l))?\nAnswer: 45000*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002702 a multiple of 762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99197626.\nAnswer: 2, 11, 4508983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, 22, 36, 50, 64, 78?\n\"Answer: 14*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 0 + n**3 - 6*n + 0*n**5 + 11\/60*n**6 + 6*n**2 - 1\/8*n**4. Find the second derivative of w(a) wrt a.\nAnswer: 132*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 8*h - 25, 5*f = 4*h - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2977733 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 803859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 104441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2239 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32.48? (a) 2 (b) -18 (c) 8 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11104820 and 53303136?\nAnswer: 266515680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/10*(-2)\/8)\/((-2)\/24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(3584) + (1*sqrt(3584) - sqrt(3584)) + sqrt(3584)))\/(sqrt(24)\/(sqrt(3) + (sqrt(9) + sqrt(9)*-1)\/sqrt(3))))**2 + -1.\nAnswer: 1791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -15, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 - 212 = -19*q - 7 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.00722079*-7.\nAnswer: -0.05054553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9.074, -0.4, 1, -0.94?\nAnswer: -9.074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67 + r**4 - 1091*r**2 + 60 + 1087*r**2 + (-2*r**3 + r**3 + 0*r**3)*(-2*r + 4 - 4).\nAnswer: 3*r**4 - 4*r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from vlvmcllmvmtlmllv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 3*q**2 + q**3)*(442*q**2 - 1214*q**2 - 101 + 101).\nAnswer: -772*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 878561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**2 + 3*g + 10. Let p(j) = j**2 + j. Let f(z) = -2*z**2 - 9*z - 9. Let l(y) = -f(y) - 6*p(y). Let x(k) = 6*l(k) - 5*v(k). What is x(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 58, 2\/19, 0.03, 1.8, -5?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t + 96 + 34 = -80 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -2\/73, -0.04, 1\/13, -18, -4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + 2334513402?\nAnswer: 2334513423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111 - (14 + 104) - (-78 - 2)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -5. Let i be (-4)\/(-14) + 4917\/847 + 1. Let q = i + -212\/33. Sort -4, t, q in descending order.\nAnswer: q, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44483 (base 13) to base 12.\nAnswer: -5b79b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3348, -6683, -10014, -13341, -16664, -19983, -23298?\n\"Answer: 2*l**2 - 3341*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 458*k - 21358. Give c(53).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1992\/83*(-4)\/(-492)*(-3)\/(-12)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.39 + 0.11. Let o = j + -127.5. Let f = -126.9796 - o. What is f rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -12*y**2 - 2*y. Let a(m) = 18*m + 81*m + 51*m - 9*m - 6*m. What is l(a(n))?\nAnswer: -218700*n**2 - 270*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10487, -11114, -11739, -12362, -12983?\n\"Answer: j**2 - 630*j - 9858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -264118, 5, -4, -6, 2 in decreasing order.\nAnswer: 5, 2, -4, -6, -264118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18639945?\nAnswer: 3, 5, 414221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2249*t**2 - 8*t + 41. Is q(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**3 + 2*w**3 + 20*w**3.\nAnswer: 35*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20243772 is divided by 114?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 8:24 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218, -305, -454, -671, -962, -1333, -1790, -2339?\nAnswer: -2986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + sqrt(26) + (sqrt(26) - sqrt(260)\/(sqrt(10) + sqrt(20)\/sqrt(2))) - sqrt(26))\/(2*1*sqrt(2)).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 5\/60106?\nAnswer: 5\/60106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9005 and 12607.\nAnswer: 63035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = q + 9, -2*q + 17 = 364*o - 181*o - 180*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/(-21)*(-21)\/6 and 73\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 28*c - 100*c + 4*c + 53 + 61*c.\nAnswer: -7*c + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q - 28. Let u be r(-7). Suppose 2*n = -5*l + 1360 + 1306, 4*l + 16 = u. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 792 and 253?\nAnswer: 18216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(190 - 483*v**2 + 481*v**2 - 36)*(v**2 - 2*v**2 + 3*v**2).\nAnswer: -4*v**4 + 308*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j - 1 = 91. Let y(d) be the third derivative of 7*d**5\/30 + d**4\/24 - d**3\/3 + d**2. Let n be y(j). What is the greatest common factor of n and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46024.6 millilitres to litres.\nAnswer: 46.0246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*p - 24 - 19 - 37 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {w: 5, c: 4, y: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 - 115 = -13*i + 125 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*x = -6, -3*m = 6*x - 4*x + 1. Which is the closest to 0? (a) -16\/3 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v + 2*f - 4, 0 = -2*v + 2*f - 4. What is the second biggest value in 1, v, -0.02?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*z**2 + 281*z**3 + 283*z**3 + 3*z + 2*z**2 - 566*z**3 + 9 to the form k*z**3 + d*z + p*z**2 + f and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*d + 4, 2*q - 4*d = d - 34 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(2\/7))\/n)**(12\/13))**(-1) assuming n is positive.\nAnswer: n**(24\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11566504 - 16626504. What is m rounded to the nearest 100000?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022699 is divided by 510942.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 4. Let w = 9 - i. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148 and 814?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.7 - -8.3. Let i = 0.35 + -1.05. Let n = t - i. What is n rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18139 divided by -17.\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*y + 3*y - 92, 3*y + 93 = 3*z. Which is smaller: z or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (94 + -93)\/(-2 + (-36)\/(-20)). Let t = -6 + 10. Sort t, 31, g in decreasing order.\nAnswer: 31, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 0*y**2 + y**2)*(3*y**2 - 4*y**2 - y**2) + (-1 + 1 + y)*(-9*y**3 + 13*y**3 - 5*y**3).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 8) to base 7.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 125949*k\/2 - 314860.\nAnswer: -(k - 125944)*(k - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - 4 - (28 - 16).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 - g**3 + 2*g**3 + (-2 + 2 - 2*g)*(3*g**2 + 0*g**2 - g**2) + (-3 + 3 - 2*g)*(-5*g**2 + g**2 + 2*g**2) - g**3 + 0*g**3 + 0*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -30*d - 9. What is the units digit of s(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 k when four letters picked without replacement from vdkkvpdvpvvnvpkp.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-4)\/(-75))*(-14)\/(-231)*11?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -3 + 3*i + i**2 + 1 - 3*i**2. Let c be -3*4\/(-36) + 10\/6. Give a(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566377 to the power of 1\/2, to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -1. Let u be (-10 - -3)*(-4)\/14. Solve 6 = u*n + 5*j, j + j = -k*n - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (-2 - -2)) + 225. Let g = s - 1325\/6. Calculate the common denominator of (-91)\/10 - (-1 + 2) and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(17\/4)\/((f\/f**(-2\/25))\/(f*f**(-5\/2)))*(f*f\/f**(-2\/9)*f*f*(f\/f**(-9))\/f)\/(f**(-2\/9))**41 assuming f is positive.\nAnswer: f**(4651\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15330514, 15330495, 15330478, 15330463?\n\"Answer: b**2 - 22*b + 15330535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.002 + -3.902. Put -7, f, 0, 1\/5, 1 in decreasing order.\nAnswer: 1, 1\/5, f, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1349641110 to the nearest 1000000.\nAnswer: -1350000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3)*(-4 + 0 + 0)*(-5 + 3*f + 5) as b + x*f and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 1110?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-10) + -2)*(4 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59423441 is divided by 1449352?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14*1.2\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0200538497 to five dps.\nAnswer: -0.02005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -301494, -602971, -904400, -1205757, -1507018, -1808159, -2109156, -2409985?\nAnswer: -2710622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**2 + 413*g + 660. Let y be f(-118). What is the highest common divisor of 266 and y?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/24*1\/((-2)\/144). Let y be 2\/42 - (-3 - s\/27). Which is the closest to 0? (a) 2\/29 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 5 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -73675990.\nAnswer: -368379950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2872, 5714, 8518, 11278, 13988?\n\"Answer: -h**3 - 13*h**2 + 2888*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(2)*4)\/(sqrt(22)\/sqrt(8))*-2 + 2.\nAnswer: -16*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.49 + -7.51. Let g = -1595 - -1588. Which is the second biggest value? (a) u (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 + 38*d**2 + 165*d - 190. Give w(-9).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 32015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 9*p**2 - 12*p + 31. Let z be f(8). Let u be (6 + 0 + -6)\/z. Solve u + 1\/10*n**3 - 1\/10*n - 1\/10*n**4 + 1\/10*n**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -10116*h - 131510. What is t(-13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -85. Let h be 4 - ((-20)\/y)\/(-4). Solve h*p - 3*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.13, -714, -0.5, 3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6\/5, -0.2, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 2\/5, 0.006, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 676 and 130.\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3.8 * 0.08\nAnswer: -0.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -371.36592 - 96.787?\nAnswer: -468.15292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 2*o**2 - 5*o**2)*(-o**3 + 6*o**3 - 2*o**3) + 2*o**5 + 3*o**5 - 4*o**5 + o**5 + 3*o**5 - 6*o**5 - 15*o**5 + 5*o**5 - 11*o**5.\nAnswer: -28*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*h - 10, 3 = 956*i - 951*i + 2*h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12877714, -12877735, -12877756, -12877777?\nAnswer: -12877798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11941478?\nAnswer: 2, 47, 127037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 15*v**2 + 1. Let u(c) = 4*c**2 + 2. Let b(d) = 19*d**2 + 9. Let z(h) = 2*b(h) - 9*u(h). Determine q(z(i)).\nAnswer: 60*i**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 60 = -3*l. Let j be 2184\/(-221) + 9 + (-4)\/34. Put j, 3, l in decreasing order.\nAnswer: 3, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*b)*(4*b**3 - 65*b**2 + 65*b**2) + (-8 - 10 + 7)*(-1 - 4*b + 2 + 3*b)*(-2*b**3 - 8 + 8).\nAnswer: -14*b**4 + 22*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 + 0.06. Let a = 0.96 + x. Let t = 2 + 1. Which is bigger: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*h - 35*h - 41*h + 20*h.\nAnswer: -99*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5\/4 - 5*v**4\/4 + 17*v**3\/2 + 38*v**2 - 72*v - 288 = 0. What is v?\nAnswer: -6, -4, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v. Let i = -330 - -333. Let a(c) = 8*c. Let w(s) be the first derivative of 7*s**2\/2 - 1. Let f(y) = i*a(y) - 2*w(y). Calculate o(f(t)).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 4 - 31 = 0. Let l(z) = 2*z**3. Let v(p) = 3*p**3 - 2 + 2. Suppose 0 = -j - 4*j - 15. Calculate j*v(y) + x*l(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195171*y - 2*y**3 - 253*y**2 + 195171*y + 0*y**2.\nAnswer: -2*y**3 - 253*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 5*c\/2 + 3.\nAnswer: -(c + 2)*(4*c - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.307 + -0.193. What is the biggest value in 1\/5, -4, n, -12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -160*n + 13898. Calculate u(98).\nAnswer: -1782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 - 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1\/3 (b) -136 (c) 3\/44 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2) + 2\/(-4). Let i(q) be the first derivative of -8*q + 1 + 1\/3*q**3 + 1\/2*q**2. Calculate i(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0, -19.4662, -78.\nAnswer: -78, -19.4662, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u + 7. Calculate l(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-1)*o*o)**14*o**1*o*o\/(((o**(-3\/4)*o)\/o*o)\/o))**(-2\/27) assuming o is positive.\nAnswer: o**(-61\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9407.6 times -2397\nAnswer: 22550017.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3599 + -1099. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114495326?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*x - 31*x + 48*x**2.\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 763367 and 319.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 0*h - 5*h**2 - h**3 + 2*h**3 + h + 3. Let v = 0 - -5. Determine t(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**6\/4 + 3*d**5\/10 - 9*d**4\/8 - d**3\/2 + 3*d**2\/2 - 71. Suppose a(h) = 0. What is h?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3690 = 14*m + 1422. Suppose 36 - m = -14*d. Solve -2*s = 3*x + d, 0 = -s - 3*s - 2*x + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + -43. Suppose -5*m - p + 2 + 4 = 0, 12 = -4*m - u*p. Find the third derivative of 2*z**2 + 8*z**m - 14*z**3 + 6*z**3 wrt z.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -21515289\nAnswer: -5\/21515289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 180623831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/8)*(z*z\/z**(2\/43))\/z assuming z is positive.\nAnswer: z**(457\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795410 is divided by 2425?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -21. Let l(j) = -4*j**2 + 2. Let u(m) be the second derivative of -m**5\/20 + 5*m**4\/12 - 3*m**2\/2 - m. Determine w*l(o) - 2*u(o).\nAnswer: 2*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s - 45*s + 12*s + 7*s + 25*s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 2. Let c be z(0). Suppose -2*w = q - 12 + 1, -3*w - c*q + 18 = 0. Find the third derivative of -33*y**5 + 20*y**2 + w*y**6 + 33*y**5 wrt y.\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -68?\nAnswer: -6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 2841*y**2 - 28425*y - 325560. Give m(-2831).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-6)\/1)\/((-116)\/(-40832)*33)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1255, 1302, 1431, 1684, 2103, 2730?\nAnswer: 3607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Solve 75*y = 78*y - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 - 20. Let j = -52 + z. Suppose -6*b + 13 - 7 = j. Solve 0 = i + 3 - b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 + 6*f**2 - 2*f + 9. Let c(d) = 6*d**3 - 17*d**2 + 6*d - 27. Calculate 6*c(t) + 17*l(t).\nAnswer: 2*t**3 + 2*t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*c - 19258 + 5108, 4*u = -2*c + 11330. Suppose -6*t + t + u = 0. Let n = t - 389. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhhm when four letters picked without replacement from {b: 1, i: 3, x: 2, h: 5, m: 7}.\nAnswer: 7\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7cc64 (base 13) to base 12\nAnswer: b0215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/39096 and -97\/8352.\nAnswer: 4535136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -16. Put -4, 18, x in increasing order.\nAnswer: x, -4, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 + 64*z**2 - 403*z\/3 - 970.\nAnswer: (z - 5)*(z + 3)*(z + 194)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 530 and 790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 30 = 2*p. Let u be 6\/10 - (-9)\/p. Suppose y - 35 + 6 = u. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - l**2 + 3*l + 5. Let d be q(-2). Suppose d*z - 399 - 318 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {n: 1, e: 1, x: 2, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-12)*96\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 3:50 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 169740530563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 3*p + 2. Let x be z(-2). Let l = 6 - x. Suppose -2 = 3*u - 2*v - 19, -2*u - l*v = -18. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*d = 119*d + 33*d + 1144 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -95, -186, -277?\n\"Answer: -91*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**4*x - 97*l**2*x**2 + 106*l*x**2 - 3*l wrt l?\nAnswer: 24*l**2*x - 194*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -52400544.47?\nAnswer: 52400545.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28764949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 0 + 1 - d**2 - 3 + 12. Let h be p(0). Is (623\/14)\/(1\/h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 71*x**3 - 5. Let q be z(2). Suppose -3*j + 0*j + 1680 = 3*l, 0 = -l + 2*j + q. What are the prime factors of l?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1512*l**4 + 377?\nAnswer: -6048*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by -6?\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 579399397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1638254655.\nAnswer: 3, 5, 103, 353453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 5*x**2 - 2*x + 3. Let y be w(-5). Suppose 4*d - y = 91. Suppose 4*m = -8*r + 4*r + 120, 0 = -m - 3*r + d. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8963759 is divided by 408?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 193*g - 2. Let x(o) be the first derivative of -o**3\/3 + 45. Determine v(x(d)).\nAnswer: -193*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-12) - 472\/(-6). Let l be ((-2)\/(-6))\/(42\/(-1134)). Let u = l + 15. Calculate the greatest common divisor of n and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7 = -n, -56*n + 57*n - 5*w + 11 = 0. What is the closest to 31 in -2, n, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/(-12)*(-3)\/1. Let b be (18\/(-30))\/(2\/f). Suppose -r = 2*c - 11, 5*c - 18 = -5*r - b. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 11*n - 20. Let i be (-1)\/1*-6*1. Let s(p) be the second derivative of -2*p**3\/3 + 7*p**2\/2 - 2*p. What is i*z(f) + 17*s(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, o: 14}. What is prob of picking 1 o and 2 r?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5539452516 to the power of 1\/2, to the nearest integer?\nAnswer: 74427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijjauvujaujvjvlau. Give prob of sequence aa.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -7. Let b(n) = -2*n - 1. Let c(r) = 9*r. Let a(i) = -5*b(i) - c(i). Let j be a(-1). Calculate the greatest common divisor of j and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -34. Is 10\/4*(i - 1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16017 = -257*y - 586*y for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3208.027 seconds in microseconds?\nAnswer: 3208027000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 + 8 - 8 - -22) + 1. Calculate the greatest common factor of 26231 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*q**3 + 21*q**2 - 9993*q.\nAnswer: -18*q + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 + 0.4. Let w = i - 1.271. Round w to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 - 14*j**2 + 7*j + 51. Let c be o(-7). Solve -3*f - 3*x + 9 = 15, c*f - 5*x + 11 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -373064097 divided by 7\nAnswer: -53294871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*p - 10 + 10.\nAnswer: -40*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u = 1098 + 3617. Suppose -19*y + 23 = -u. Calculate the least common multiple of 10 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuf. What is prob of sequence vu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -92*p**2 + 286*p**2 - 29 - 105*p**2 - 91*p**2 - 27*p. Calculate g(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 + 38*q - 31. Let r be b(18). Find the second derivative of -263*g**r + 35*g**5 + 22*g + 106*g**5 + 54*g**5 wrt g.\nAnswer: -1360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.893 and -348 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 8:07 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i**3 - 36*i**2 - 9*i. Let k(r) = r**3 - r**2 + 3*r. Give -d(g) - 3*k(g).\nAnswer: -11*g**3 + 39*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 37236 and -53.\nAnswer: 37183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 23*z. Let p be 20\/6 + 64\/(-48). Let u(r) = 5*r**2 + 2. Let m(n) = 5*n**2 + 3. Let v(b) = p*m(b) - 3*u(b). Give i(v(d)).\nAnswer: -115*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 38*q + 2. Let h be y(19). Let w be (h - 11)\/((-9)\/(-9)). Which is smaller: w or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5980352.\nAnswer: 2, 7, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1339285 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 12. List the prime factors of (-7)\/(-2)*208\/c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -1. Suppose 0*a + 4*f = d*a - 268, -3*a - 4*f = -180. Is 20 a factor of -1*(-3 + 2)*a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-312)\/51 - 6\/(-51)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58.627 - 0.127. Round v to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooa when four letters picked without replacement from oooooaaoao.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 165 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 488565 and 21254310?\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/7*966\/207.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*p = -4629 - 3145. Sort 2, -1, p in decreasing order.\nAnswer: 2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 17.93?\nAnswer: -5.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (6 - 1 - (0 + 50 + 9))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2021 + 2299 = 646*q - 640*q. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide ((-30)\/35)\/((-15)\/70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 10*m - 14. Let a be j(12). Suppose 5*i - a*i + 20 = 0. Calculate the highest common divisor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(17\/85)\/((-18)\/(-15))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -24 + -9 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 239 + -109. Is o a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 10) in base 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.28 - -0.08. Let p = -0.4 - -0.7. Let u = -0.1 + p. Which is the nearest to k? (a) u (b) -2\/9 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**0)**(-1\/5))**(-22))**(-23) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37497 divided by -87.\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/20 + 92\/(-80).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-116)\/(-18) + (-16)\/36. What is the common denominator of ((-20)\/k*(-234)\/(-24))\/(-22) and -35\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.95 + -0.05. Let j(b) = 2*b + 1. Let i be j(1). What is the biggest value in i, -0.2, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 17*f**2 + 31*f - 56. Determine q(17).\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/120)\/(15\/3*25\/375)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.452735694 rounded to three dps?\nAnswer: 0.453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*w + 15, s + s - 6 = w. Let f = 27\/68 + 6\/17. Which is the second smallest value? (a) f (b) w (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22794, 45502, 68216, 90936, 113662, 136394?\nAnswer: 159132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = -5*p - 22, -p = -2*f - 3. Let z(r) = -3*r - 16. Let b be z(p). Which is smaller: 2\/153 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlrl when four letters picked without replacement from {r: 3, l: 5, n: 5}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 15*c**2 - 6*c + 9. Calculate m(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*x - 56*x = 10, 0 = -3*n + 2*x - 13. Are n and -50\/37 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 2\/3, 4.2, -8?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-720))\/((-2)\/(-10))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6591676 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + b. Let w(i) = 7*i**2 - 4*i. Calculate -4*l(f) - w(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 148 divided by -148\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-5)*3\/(36\/(-6))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 195400 and -7?\nAnswer: 195407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 - 6 = -8*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s*s*s**27*s)*s*s\/(s*s\/(s\/(s\/s**(-5)))*s) assuming s is positive.\nAnswer: s**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -395.06376 + 395. What is x rounded to three dps?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 6244.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_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: Suppose 2*a - 2754 = 3464. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 10*a**2 + 12*a - 8. Let t be y(11). Let p(g) = 2 + 2*g**2 - 3*g**2 + 2*g**2 - 8*g. Let x be p(8). Solve i = t*i - x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, a: 1, e: 1}. What is prob of picking 1 a and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/19, -4, 962, -3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c - 37*c = -a - 10, 0 = 2*a - 5*c - 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4126849447 to the nearest integer?\nAnswer: 64241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 31058 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9, 32, 65, 102, 137, 164, 177?\n\"Answer: -y**3 + 11*y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2803 + -463. Suppose -7*r + p = -1559. List the prime factors of r.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.9502 in -1\/12, -1\/2, 19, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-12 + 0) - (-779 - -766).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120.5 + 125. Let z = t - 4.9. What is the third biggest value in z, -5, -22\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2160 and 19393560?\nAnswer: 38787120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w - 4. Let z(i) = 4*i - 9. Let f(r) = -9*g(r) + 4*z(r). Let s(d) = d. Calculate f(s(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3\/u)\/u*(u*u*u**(2\/7))\/u)**(-37)\/(u**0\/u**(-1\/5))**(-1\/9) assuming u is positive.\nAnswer: u**(-26633\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13)\/m)**37 assuming m is positive.\nAnswer: m**(-518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -266*o. Let s(g) = -9002*g**2. Calculate s(f(b)).\nAnswer: -636945512*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/24 and 79\/14060444.\nAnswer: 84362664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -19. Solve -z = -5*j - 5, 2*z + 3*j + p = 2*j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -258?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -0.2, -21\/10, 664, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.1, -3, -1221564?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145412 (base 6) in base 9?\nAnswer: 21418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 10*k - 62. Let i be r(6). Let v be i\/6 + (-7)\/((-21)\/79). Solve -3*j + 11 = v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*(1*sqrt(1053)*-3*2 + 0)**2.\nAnswer: 37903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.67?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 103844 or 103722?\nAnswer: 103844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q = -10*q + 23917640. What is the units digit of 1 + 13\/(-11) + q\/1870?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6258 - 18775\/3. Which is the nearest to 0.2? (a) -234 (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -24 - 15. Calculate the greatest common divisor of 117 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 210\/4)*(-16)\/12. Let b = m - -113. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1079491 is divided by 16343?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 2*b**2 - 2*b**2)*(-b**3 - b**3 - b**3) + (-2*b**4 + 6*b**4 - 3*b**4)*(4*b + 3*b - 6*b + 3*b - 3*b + 2*b + (-1 + 0 + 2)*(-2 + 2*b + 2)).\nAnswer: 8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7918\/5 or -1584?\nAnswer: -1584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3589, 7228, 10867, 14506?\nAnswer: 18145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 7 = -3*f, -s + 2*f - 286 = 0. Let w be (-2 - -1)*s - -6. Calculate the highest common divisor of w and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6748 (base 11) to base 10.\nAnswer: 8885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 - 6*w**3 - 3*w**2 + 6*w.\nAnswer: 3*w*(w - 2)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 1102 = -949. Is -1 - d - 15\/(-10 - -7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**2 + 7*o**3 - 2*o + 2*o - 33*o**2 in the form l*o**3 + f*o + v + r*o**2 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxaxyzxxx. Give prob of picking 1 z and 1 x.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6637820 divided by -70.\nAnswer: 94826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -266322641 (base 7) to base 11\nAnswer: -9800441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37567 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 10*u**2 + 5*u - 6. Let m be q(-9). Let r be 0 + (-224)\/(-20) + (-20)\/(-25). What is the greatest common divisor of m and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 756 = k, 4*u + 504 = 2*u + 4*k. Let i be (u\/8)\/((-1)\/20). Suppose 3*b - i = -5*q + 8*b, 1 = b. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2494*v**3 + 1372*v**3 - 15*v**3 + 973*v**3.\nAnswer: 4824*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499*c - 13266 = 477*c. What is the remainder when c is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36205920 a multiple of 578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h - 23*h = 3150. What are the prime factors of h?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1477*s - 54 = -1474*s - 5*i, -s = 3*i - 24 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 7718*d - 15428.\nAnswer: -2*(d + 2)*(d + 3857)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 12 - 39 = 18. Solve -d*m + 3*f = 6, m + 23 - 12 = 4*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*q - 50. Let s = -18 - q. Let r(n) = -2*n**3 + n**2 - n + 3. Let u(x) = 11*x**3 + x**2 + 6*x - 20. Let i(d) = 6*r(d) + u(d). What is i(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -512 by -11916.\nAnswer: 128\/2979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**3 + 28*h**3 - 18*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2472 + -1586. Let z = d + -492. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 4*a + 20, 2*a - 26*m - 12 = -22*m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-28) - (-5372)\/14. Suppose -4*b + p - 90 = 3*x, -2*x = -5*b + 356. Let j be 8 + 2\/(-2) + 1. What is the highest common divisor of j and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {b: 1, i: 11, x: 6}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-26)\/(-20)*3100\/620\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 - 86.2. What is the nearest to 1 in 2\/9, 0.02, h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 3*q - 3. Calculate h(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6146416 to 3 decimal places.\nAnswer: -1.615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -884*q + 879*q - 137, 3*q = -3*d - 81 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 49?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 621 and 4664768.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 401 * -6.896.\nAnswer: -2765.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*g - 18*g + 84*g + 5 - g.\nAnswer: 93*g + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 639145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 i, and 1 c when three letters picked without replacement from {c: 4, i: 2, e: 2, o: 3, g: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 45*k**2 - 4*k - 3. Let z be 2 + 3 - (6 + -1). Let f(s) = s**3 - s**2 - 1. Let j be f(z). What is the remainder when n(j) is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3)\/t)\/t**(-9) assuming t is positive.\nAnswer: t**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*u + 172*u - 369*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 212276?\nAnswer: 212276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -20*y - 19. Let j(v) = -10*v - 9. What is 6*b(d) - 13*j(d)?\nAnswer: 10*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20 and 47587391769869?\nAnswer: 47587391769849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1536 divided by 6?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147)\/(-147)*-61*4\/8*-2.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*k**3 + k - 3*k**3 + 2*k**4 + 0*k**3 as s + h*k**2 + j*k + v*k**4 + d*k**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g**2 - 8*g**2 - 8*g**2 + 34*g**2 + 2*g**3 + 106*g - 11*g**2 to the form z*g**2 + d*g**3 + r + m*g and give m.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8119\/530 - -266\/53. Calculate the common denominator of 50\/2509 and c.\nAnswer: 25090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -14*j**2 + 29*j**2 - 14*j**2 + 3*j. Let s(z) = 4*z**2 + 14*z. Calculate -14*r(a) + 3*s(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -212232102220 (base 4) to base 14\nAnswer: -14c3532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -315.428 - -316. Round d to two dps.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 60?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1186 - 1174. What is the remainder when 2\/(-1)*31\/(-2) is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48176 = 3*s - 7*s. Let j = 168533\/14 - s. Calculate the common denominator of 6*(-5)\/80 - -4 and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 6:00 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - 315\/10*-6 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2231 - -5?\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3308*c**6 + c**4 + 23079*c**2?\nAnswer: 396960*c**3 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1152 (base 7) to base 15.\nAnswer: -1d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 181 and 2822.3.\nAnswer: 510836.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(8) - sqrt(24)\/(sqrt(12)*-2).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1260979*p + 2924*p**2 + 1260979*p to c*p**2 + g*p + q and give c.\nAnswer: 2924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/8 and 41\/924.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rigd when four letters picked without replacement from {d: 6, i: 3, r: 2, g: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(1 + (-6)\/4). Suppose -2*y - 552 + 556 = -4*z, 4 = -5*z + 3*y. Sort d, z, -8 in decreasing order.\nAnswer: d, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 greater than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 2*b**2 - 20*b - 16. Let i be p(6). Let m(s) = s**3 - 10*s**2 + 15*s + 11. Calculate m(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - k + 562 = 0, 5*k + 637 + 144 = 4*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 14 = 5*l - 4*n, -2*l = 4*n + 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3501020 to the nearest one hundred thousand.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 + -40.9. Let m = 621.2 - 618.2. Sort j, 0.3, m, 10 in ascending order.\nAnswer: j, 0.3, m, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4068.973 - -1698.274. Let m = 2373 + k. Let i = -0.001 + m. Round i to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7249 is divided by 719.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppeyeneppenpppppnp. Give prob of picking 1 p, 1 e, and 1 n.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9405170 to the power of 1\/2, to the nearest integer?\nAnswer: 3067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 13. Suppose -2*c = -g + 25, -5*c - g - 2*g - 46 = 0. Let z(s) = 7. Let w(r) = c*z(r) + 6*y(r). Calculate w(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -88694, -88695, -88696, -88697, -88698, -88699?\n\"Answer: -o - 88693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + 6. Suppose h*s = 36*s - 80. What is the tens digit of s*(-6 - (-7 - -5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - (sqrt(9) - sqrt(72)\/((sqrt(8) - sqrt(8)*3) + sqrt(8))))\/(sqrt(243) + sqrt(243)*-2).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -bb1 + -2?\nAnswer: -bb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - -3 - ((-1 + 17 - 4) + -11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 168 + -88. Suppose -h = 6*t - 14*t. Suppose 264 = -8*o + t*o. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-3))**(1\/6))**(-20) assuming v is positive.\nAnswer: v**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.057 + 23.943. Let s = u + -26. Let y = s + 1.5. Which is the second smallest value? (a) 2 (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmm when three letters picked without replacement from ppmppmpmpppbm.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l = -17*l - 13*l + 156. What is the remainder when l is divided by 52?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -20*w. Let a(v) = -11*v**2 - 102*v**2 - 58*v**2 + 58*v**2. Give a(y(z)).\nAnswer: -45200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 2 - 2)*(-o - o + 3*o) - o - 5*o + 4*o - 4*o + 4*o + 2*o - 3*o + 4*o + 0*o + (2*o - o + 0*o)*(2 + 0 + 0) to the form c*o + q and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 459 - 3221\/7. Calculate the common denominator of r and -19\/45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32.82482 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874262?\nAnswer: 2, 31, 59, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h - 11*h + 11*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.1, 3, -51\/7 in ascending order.\nAnswer: -51\/7, -5.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*(8\/(-3))\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - -20. Suppose u = 6*s - s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6949765222*l + 6949765222*l - 10*l**3.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 11946770.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*n**4 + 1\/2 + 0*n**3 + 0*n - n**2 = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 1 + -13 + 6 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwl. What is prob of sequence ll?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2181*u + 2219*u = 344622. What is the thousands digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125245.477 - -4.1011?\nAnswer: -125241.3759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376*o - 59*o + 58667 = 58*o. Let g(m) = m**2 - 7*m + 9. Let t be g(6). Suppose t*i - 28 = 44. Calculate the remainder when o is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 e when four letters picked without replacement from ecmsttexc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 5:52 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17 - -10) + -1*1. Let r(w) = w + 6. Let x be r(c). Let o(q) = q - 3*q + 5*q + 2 - q**3 - q**2. What is o(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 9) in base 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -197*m + 5*m**3 + 11*m**4 - 152*m**2 + 267*m + 29*m**2 - 14*m**5 - 78*m wrt m.\nAnswer: -840*m**2 + 264*m + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 1, w: 5, b: 4}. What is prob of picking 1 o and 1 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -10*p**2 - 5*p - 5. Let v(h) = -h**2 - h - 1. Suppose -5*m - 53 = -2*i - 31, 0 = -2*i - 2*m - 6. Calculate i*x(d) - 5*v(d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3125590 (base 10) to base 2.\nAnswer: -1011111011000101010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212 - 127 = 17*f - 221 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkxokwwkwoikikokwwx. What is prob of sequence ok?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 154*d**2 + 111*d**2 - 99*d**2 + (-4*d + 6*d + d)*(-4*d + 4*d + 2*d) + 2*d**2 - d**2 + 0*d**2 + (-d**2 - d**2 + d**2)*(0 + 1 - 2).\nAnswer: 174*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 41*o - 296. Calculate r(-15).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (9 - (-19 + 10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -17. Which is the third smallest value? (a) t (b) 3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 3. Let q = m + -12. Find the third derivative of -58*p**4 - q*p**6 + 5*p**2 + 58*p**4 wrt p.\nAnswer: -840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2 - 9*t - 4. Let l be n(3). Solve -r - 2*r + 2*u = 1, 4*r + l*u = 37 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3\/3 - 29720470*w**2\/3 + 19813649*w + 29720472 = 0.\nAnswer: -29720472, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 3024859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5199 = 6*p - 1731. Suppose 7*c - 4214 = p. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, -1\/4, 0.04?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*h - 3*h = 5, 5 = 3*q + 4*h. Suppose 4*m - m - q = 0. Sort 2, m, -4 in ascending order.\nAnswer: -4, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r - 7650 = -123*r. Put 4, -1, r in ascending order.\nAnswer: -1, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10199 and 42159752.\nAnswer: 295118264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*(m*m*m\/(m*m*m*m**(-2)*m*m))\/m*m))**(6\/19))**(34\/7) assuming m is positive.\nAnswer: m**(-204\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1153622?\nAnswer: -1153623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z. Let y(u) = 2*u. Let f(x) = 2*x - 5. Let m be f(5). Let p(v) = m*t(v) + 6*y(v). Let g(q) = -7 + 13 - q**2 - 6. What is g(p(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1832 - -3130. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (296\/444)\/(1*2\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/63 and -71\/2565?\nAnswer: 17955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.92 + 0.61. Round o to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 11*y**3\/3 - 107*y**2\/2 + y - 2. Let g be o(5). Solve -2*a = -5*h + 2*a - 10, 2*h + g*a = -4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a + 15*a - 7*a. Let y be 3\/4 - 225\/(-36). Let x(h) = -11*h**2. Let r(d) = -5*d**2. Let n(b) = y*r(b) - 3*x(b). Determine n(l(p)).\nAnswer: -242*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240266827.\nAnswer: 29, 8285063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-15)*(30 + 3). Solve 0 = 3*w - k - h, -k - 1 = 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 439 divide 553140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -4 - 5 - 16 - (-200 - -203)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1872312789?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.42397313 - -6.424. What is k rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01 and 239579491.\nAnswer: 239579491.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/80)\/(38\/3*(-864)\/(-768)).\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*r + 670*r - 3582 - 5364 = 0 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/2*(-32)\/24. Suppose 2 = g*a - 4. Do a and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -399 + 396.11. Let r = w - 0.11. Sort 0.2, r, 0.5 in descending order.\nAnswer: 0.5, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**2 + 7010*c = 0.\nAnswer: -1402, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0880312 micrograms to kilograms.\nAnswer: 0.0000000000880312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1778655 and 7.\nAnswer: 12450585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from {b: 2, c: 3, q: 6, k: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 6) in base 7?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/1 - -2) + 0. Let o(c) = -2*c - y*c - 3 - 4*c + 1. Let w be o(-2). Solve -w = 2*u - 6*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1)*m\/m**(-2\/9)*m\/m**(-3\/7)*m**0 assuming m is positive.\nAnswer: m**(104\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -10. Suppose w*f - 4*f = -2*h + 14, -13 = -h - 3*f. Solve -15 - 5 = -h*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.9*-283.\nAnswer: -1952.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-54)\/(-12) + 10\/4. Solve -2*i + 24 = 4*a - i, k*i - 11 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 309.7515 to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.126373 rounded to 3 decimal places?\nAnswer: 0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18365.673 hours to days.\nAnswer: 765.236375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 582*q - 1178*q - 26*q**2 + 596*q.\nAnswer: -26*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 17014?\nAnswer: 17019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.031421 rounded to one dp?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -318 times 2\nAnswer: -636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1170.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 23*x + 87. Let h be j(25). Suppose m - 2*m = 2*f - 25, 5*m - 86 = 3*f. Let o = h - m. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77690 - 21369 + 18869 = -1314*g + 4284*g for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 644\/14112*-9 + 9\/21\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -2, -18, -72, -1.\nAnswer: -72, -18, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by -8\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1047372 (base 8) to base 9.\nAnswer: 470285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - -5. Suppose -137 = -3*s - 8. What is the remainder when s\/((-2)\/2 + 2) is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 157 and 86177771?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 529*z - 238. What is the remainder when 2479 is divided by w(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 523 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105201?\nAnswer: 3, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21299, 42603, 63907, 85211, 106515, 127819?\n\"Answer: 21304*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 230633329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 752617.9nm in kilometers?\nAnswer: 0.0000007526179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/420*15*(-3)\/(-18)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 315, 309, 303, 297, 291, 285?\n\"Answer: -6*k + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -9*w + 40 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 - 15*i**2 - 7*i + 4. Give w(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1820 divided by -40?\nAnswer: -91\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g + 8. Let h(v) = -v**2 - 6*v - 6. Let i be h(g). Solve -2*p + c - 2 = 0, i*c = p - 0 - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -49, 1\/13, 1\/3, 0.5 in decreasing order.\nAnswer: 0.5, 0.4, 1\/3, 1\/13, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 3:35 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7255334 is divided by 2418442?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*12\/(-78)*-13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)\/p*p\/p**(-2\/3))**49\/(p**5*p*p**(-2)*p*p**4*p*p**(-6)*p) assuming p is positive.\nAnswer: p**(-799\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 - 4*q**2 + 7*q + 1. What is g(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(((x**(-2\/55)\/x*x)\/x)\/x))\/(((x*x**12)\/x)\/x)*(x**(-14\/9))**(-17))**(-18) assuming x is positive.\nAnswer: x**(-18296\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttuc when four letters picked without replacement from ctuctccccccctuc?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 116, -0.05, 5?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -20.43 < 4\/641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(8\/5)\/y)\/(y*y**(1\/11)\/y)*y**(-10)\/y*y*y\/(y*y**(-16)) assuming y is positive.\nAnswer: y**(358\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 553, 1164, 1753, 2308, 2817, 3268, 3649?\nAnswer: 3948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20152069 to the nearest integer?\nAnswer: 4489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 16*l**2 - 14*l + 11. Determine o(-17).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136930 is divided by 153?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330 a factor of 15997240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1651*w**5 - 12494*w?\nAnswer: 33020*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -4*l**3\/3 + 3*l. Let r(s) = 7*s. Let m(b) = -3*n(b) - 4*r(b). Let i(g) = 2*g. Give i(m(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**5 - 62379*s**4 - 4506861*s**3 + 436671*s**2 + 31173606*s - 27041040 = 0. Calculate s.\nAnswer: -72, -3, 1, 2, 20865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.4, 2\/3, -1\/4, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2204406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25313645 divided by -49.\nAnswer: 516605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t - 5. Let n(x) = -x**3 + 3*x**2 + x + 3. Let o(z) = -z - 6. Let s be o(-9). Let g be n(s). Is 13 a factor of m(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40, -3, -74, -173, -300?\n\"Answer: -14*t**2 - t + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 13*d**2 - 6*d + 3. Let q(n) = -13*n**2 + 7*n - 4. Determine 6*q(s) + 7*y(s).\nAnswer: 13*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - d**2 + d + 2. Calculate t(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 86 - 86 - 5*a. Let x(p) = p. What is x(k(c))?\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*y**2 + 0*y**2 - 2*y**2)*(-1 + 0 + 2) + (0*y - 3*y + 4*y)*(y + 2*y + 0*y))*(1 - 4 - 3)*(-y + 0*y + 3*y).\nAnswer: -48*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 less than -1049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-9 - (-5 - 0)) + 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3179 is divided by 433.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91 + 67. Let d = -24.1 - t. Let u be (-8)\/12 + (-64)\/(-132). Which is the closest to d? (a) u (b) -0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7506501?\nAnswer: 3, 19, 79, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 17 = -2*s, s + 13 + 6 = -5*k. Let g be (-8)\/s*-1 - -560. Let -2*x**4 - 72*x**3 - 8*x**2 - g*x**5 - 208*x**4 + 358*x**5 = 0. Calculate x.\nAnswer: -2\/5, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53*u**3 + 146*u + 109*u**3 - 55*u**3)*(-3*u + 4*u - 2*u) in the form a + m*u**4 + y*u + k*u**3 + o*u**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 6*w**2 + 7*w - 5. Suppose 0 = -4*f - k + 176, 0 = 4*k - 4 - 12. Suppose 27 = -4*r + f. What is the least common multiple of h(5) and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 362 or 32175\/89?\nAnswer: 32175\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) -0.2 (c) 3 (d) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4*(-8)\/20 + 0. What is the closest to k in -2, -1\/10, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.49\nAnswer: 0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -237*v**4\/2 - 163*v**2\/2 + 2*v - 708. What is the second derivative of r(n) wrt n?\nAnswer: -2844*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*d - 252 + 222 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/7, -0.4, 16, 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/2 - 4 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -98 + (-11966)\/(2232\/(-36)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52\/9 - 95\/18. Let u(g) be the first derivative of -1\/2*g**2 + 7 + 0*g**3 + b*g**4 + 0*g. What is the second derivative of u(q) wrt q?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**4\/24 + z**3\/6 + 2*z**2 + 4. Let y(x) be the second derivative of a(x). Differentiate y(g) wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o**2 + 0*o**2 - 6*o**2 - 9*o**2 as i*o**2 + t + v*o and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 551282352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n + 16 = 0. Calculate the remainder when n is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 515*-0.0401.\nAnswer: -20.6515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 14*k**2 + 8*k + 6. Let a be i(-16). Let p = 132 - a. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxrte. Give prob of picking 1 e and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccva when four letters picked without replacement from cvvaacvacccvc?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -7. Let k = -12 + h. Let d = -108 - -113. Put d, -11, k in descending order.\nAnswer: d, k, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 347.99 and -515?\nAnswer: -179214.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2204583 (base 9) to base 10\nAnswer: 1184376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*8\/120)\/((-7)\/(1050\/6))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 6*f**2 + 27*f**2.\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 387806?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*g - 8. Let m = 19 + 5. Suppose -5*u - 26 = m. Put 0, g, u in increasing order.\nAnswer: u, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49539 and 5415927?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/2)\/((-3)\/6). Let c be 3\/(6\/9 - 1). Let x = h + c. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1122*l - 1576*l + 19068 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-324)\/324 - 6\/(-8). Let t = 13.94 - 14. Which is the closest to 0.2? (a) -0.4 (b) t (c) n (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-4 - (-12)\/4). Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2031 (base 4) to base 10.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2534401\/5725632 + 2\/29821. What is the common denominator of s and 59\/30?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 greater than or equal to 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from {g: 5, r: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 4*z + 4 = -w, 3*z - 2*w - 8 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1993618.443 + -1994598. Let k = p - -980. Let m = -0.057 - k. Sort -5, m, 2 in decreasing order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.1, 1\/235, -3\/19, 5 in increasing order.\nAnswer: -3\/19, -0.1, 1\/235, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3490 + 3552. What is the highest common divisor of 1705 and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*x - 136*x - 100*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -36*j**2. Let v be h(-1). Let m = v + 141. Let b be 3 + 5\/(m\/(-72)). What is the third smallest value in b, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -26*m - 1638. Let z be c(-64). What is the highest common factor of 65 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2\/41, 0.057, 5134?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14780 and -2641.\nAnswer: -17421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**5\/20 - y**4\/8 + 2*y**3\/3 - 6*y**2. Calculate i(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -46.9. Let x = n + -2.8. Suppose 85 = -34*l + 17*l. Sort l, 0.9, x in decreasing order.\nAnswer: 0.9, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/882*3\/(-2)*2.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 19*v + 38. Calculate c(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16793223 is divided by 578?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 748561857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123912 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 147 = 975. What is the remainder when b is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (7 - (21 + (-4 - 7)))) + -17 + 74?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 317 + -247. Let r be (-16)\/(-3)*-7*(-15)\/v. Solve -u + r - 3 = 0, 2*z + 2*u = 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8\/25 of a micrometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 147473 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 1. Let r = 93.8 + -94. Put r, b, 5 in decreasing order.\nAnswer: 5, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 0.5, -23, 4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**2 - 46*u**2 - 39*u**2 - 20 - 55 + 13.\nAnswer: -92*u**2 - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 11*f**2 - 7*f + 2. Let m(o) = 2*o**2 - o. Let b(k) = 5*m(k) - z(k). Let l(j) = j**2 - j + 2. What is -3*b(n) - 4*l(n)?\nAnswer: -n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = -14*b + 319176. Suppose 4*l - 4*t - b - 34120 = 0, 3*l - 34793 = t. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1471*x**3 - 1444*x**3 + x**2 + 4 + 0*x**2 in the form f*x**3 + u + d*x + s*x**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 47. Let y(g) = 2*g**2 + 2*g - 6. Let z be y(h). Solve 4*t + 19 = -5*p + z, 15 = -3*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**3 + 0*m + 0*m)*(-1 - 5 + 5) + 108*m**3 + 3215*m**3 + 2297*m**3 in the form r + z*m + w*m**2 + d*m**3 and give d.\nAnswer: 5621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sii when three letters picked without replacement from {g: 2, i: 1, b: 4, s: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r - 3*g = -11*r + 4, -2*r = 2*g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 614892838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10034 and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25545 is divided by 1912.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6888 and 95940?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36481903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3403 + 3399. Sort 5, 52, 7, a.\nAnswer: a, 5, 7, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - h - h)*(-3*h**3 - 2*h**3 + 4*h**3) + h**3 + 4*h**3 - 99*h**4 + 95*h**4.\nAnswer: -6*h**4 + 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.02, 238, 0 in descending order.\nAnswer: 238, 0.5, 0.02, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = p + 22. Calculate the highest common divisor of 30 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27404552 is divided by 131?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541489443 to the power of 1\/2, to the nearest integer?\nAnswer: 39262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3474584144.464 and -17.\nAnswer: 3474584127.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83938676 to the nearest integer?\nAnswer: 9162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -466 + -6a?\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + ((sqrt(432) - -3*sqrt(432))*-4*-1 + -3)**2) + -4.\nAnswer: -221216 + 2304*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (33\/(-4))\/(4\/(-16)). Is h smaller than 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -12. Suppose -16 = -4*h + 4, a = s*h + 14. Suppose a + 16 = 5*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z + 149. Let m be 21\/(-14)*56\/(-6). Suppose m*a = 10*a. Is o(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/27))**(-3\/25)\/(v\/(v*v**(-1\/23)))**(4\/41))**(-2\/37) assuming v is positive.\nAnswer: v**(56494\/7850475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3601 - 1315. Is 7 a factor of (v\/24 + -6)\/(2\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, -4, -1, 23, -66 in descending order.\nAnswer: 23, 6, 2, -1, -4, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, 5, 6, -1, 0.7, -67?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1380586682?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*q - 81 + 1198*q - 445*q - 440*q.\nAnswer: -92*q - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p, 7*p - 2*p + 8 = 4*n. Let u be n\/(-15) - (-32)\/15. What is f in 1\/3*f + 1\/3*f**u - 2\/3 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3893196, 3893194, 3893190, 3893184, 3893176, 3893166?\nAnswer: 3893154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -225 - -663. Let a be 1 + w*1\/2. Round a to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (15 - (22 + 7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2561918, 223, -1 in increasing order.\nAnswer: -1, 223, 2561918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -561458*b - 2245863. Calculate w(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4326 and 1664908.\nAnswer: 514456572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*n - 4, -2*q + 44 - 90 = 6*n - 8*n for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**7\/1470 + 5*c**6\/504 - c**5\/20 + 3*c**4\/56 - 13*c**3 - c - 41. Let z(b) be the third derivative of p(b). Factor z(q).\nAnswer: -(q - 3)**2*(4*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5245696 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = 389 - 161. What is the remainder when 6617 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57876*u = 57914*u + 190 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*s**3*z - 71806*s**3 - 2*s*z - 2295*s - 2*z - 3 wrt s?\nAnswer: -216*s*z - 430836*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**5\/10 - p**4\/2 + 8*p**3 - 28*p**2 - 2*p - 19. Factor k(v).\nAnswer: -2*(v - 2)**2*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 1. Let n(m) = -m**2 + 2*m - 6. Let i(p) = 4*h(p) - n(p). Give i(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6510 - -2?\nAnswer: 6512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 10:17 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(1782) + sqrt(1782) + sqrt(22) - (sqrt(22) + sqrt(22) + sqrt(176)\/(sqrt(24)\/sqrt(3))))\/(1*(sqrt(200) + sqrt(200)*1)) + 3.\nAnswer: 3 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 402533539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/2 - 980309*r**2 - 480490123470*r + 12493405907892.\nAnswer: -(r - 26)*(r + 980322)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 127 = -3*l, l + 3*a + 199 = -4*l. Let g = -39 - l. Solve g*d - 9 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1081770*z - 1316 = 1081723*z for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14729 and 20215?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**2 - 9. Let q(f) = 224*f**2 + 6 - 3*f + 5*f - 3 - 225*f**2 - 1. Let z(t) = 2*t**2 - 3*t - 3. Let o(m) = 3*q(m) + 2*z(m). Determine g(o(u)).\nAnswer: -3*u**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -84 in -0.5, -12, 22, 0.3, -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -4, 7\/6, 0.03, 0.8 in descending order.\nAnswer: 4, 3, 7\/6, 0.8, 0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10104 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/102 and -41\/17.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 + 58*d**2 + 60*d + 1. Let y be a(30). What is the closest to y in -28\/5, 6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = c - 3*k, -3*c + 193 = c - 5*k + 244 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 294 - 4409\/15. Let i(t) be the third derivative of 1\/30*t**6 - 1\/6*t**4 - w*t**5 + 9*t**2 + 0*t + 0 + 2\/105*t**7 + 0*t**3. Suppose i(g) = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3317 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -359*z - 155*z - 420 - 103*z wrt z?\nAnswer: -617","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -53 + 59 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125156 is divided by 268.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 810*i. Let w be z(-1). Let x be w\/(-105) + (-4)\/(-14). What is v in 9*v + 5 - 3*v**2 - x*v + 3*v + 2*v**2 = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 329 - 326. Let r = -1684 + 1684.1. Let p = 0 - 4. Which is the closest to 0.1? (a) r (b) p (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3 + 1 + -83)*6\/(-90) and 57\/62.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4 (b) -5 (c) 3 (d) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d1 (base 14) in base 8?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 29 (b) 1 (c) 2 (d) 5 (e) 1\/2 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -19*k**4\/5 + 661*k**3\/5 - 1318*k**2 + 14528*k\/5 - 1536 = 0.\nAnswer: 15\/19, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -284201, -284185, -284169?\n\"Answer: 16*c - 284217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w - 4*z - 16, 0 = z + 4. Suppose 0 = d - w*d. Factor 1\/3*j**3 - 1\/3*j**2 + d*j + 0.\nAnswer: j**2*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-168)\/245 - 8\/(-28). Which is the nearest to 0? (a) 2\/17 (b) -0.2 (c) -13 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i*u**2 + 134439*i*u - 4*u**2 - 27*u + 5519 wrt i?\nAnswer: 3*u**2 + 134439*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.03 (b) -0.3 (c) -0.4 (d) 5 (e) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 192 + -104. Suppose -o = 2*m - 10*m. Suppose -4*c = -213 - m. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/9 or 254?\nAnswer: 254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 5*i - 13, 0 = -6*g + 4*i + i - 49 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**2 + 7116872*h + 6983854?\nAnswer: 4*h + 7116872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**4 + 215*p**3 + 705*p**2 - 37015*p - 37510 = 0. What is p?\nAnswer: -31, -22, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398399239?\nAnswer: 7, 19, 37, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5 + 2 + -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*n**3 + 64*n**3 + 57*n**3 - 33*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**3 + 17*h**2 - 223*h - 24. Let r(k) = -4*k**3 + 18*k**2 - 243*k - 28. Give -7*a(i) + 6*r(i).\nAnswer: 4*i**3 - 11*i**2 + 103*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 14853\/(-147)) + (-81)\/(115101\/58).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98805270 a multiple of 386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.6545 to 1 dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 533574990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20552 - 34952. What is z rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.7293071 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 a factor of 2906589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -15*o - 3. Let z be (27\/54)\/(2*(-2)\/(-144)). Let q = -19 + z. Let l be b(q). Solve -8 = -5*g + l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13884 divided by -2314?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 39984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263, 1054, 2373, 4220, 6595?\nAnswer: 9498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 380 + 145. Calculate the remainder when (-5)\/(d\/(-98) + 5) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 74511, 2\/7, 2, -13\/5, -5\/4, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**0)**(-7\/2)\/(p**1\/p*p**3))**(2\/115))**20 assuming p is positive.\nAnswer: p**(-24\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-281 + 135 + 137 + 2*z)*(-1 - 4 + 9) as g + d*z and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18, 48, 78, 108, 138, 168?\n\"Answer: 30*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -27024.344771+1.2\nAnswer: -27023.144771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 34 (b) -4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, -22, -40, -0.4, 6, -5?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -351044 by 18.\nAnswer: -175522\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 2*((sqrt(176))**2 - sqrt(11)) - (sqrt(176) - (sqrt(176) + -4)).\nAnswer: -sqrt(11) + 348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.15 + -4.85. Which is the second smallest value? (a) -1\/9 (b) -4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-1)\/(-2)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/10)\/(c*c**(1\/2)))\/((c\/(c*(c\/(c\/c**(2\/25)))\/c))\/(c\/c**2)))**(-2\/21) assuming c is positive.\nAnswer: c**(166\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-15)*(-125)\/(-10). Let u be -2*(5\/2 + 0). Put -2, w, u in decreasing order.\nAnswer: -2, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225409 is divided by 517.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 + 9 = -6*k. Is 49 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 903\/5 - 180. Let h = -41.4 + -6.6. Let a = 40 + h. Sort 5, a, r, 1\/4 in ascending order.\nAnswer: a, 1\/4, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -7, 1 in increasing order.\nAnswer: -7, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1469295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17793.64 + -17926. What is v rounded to the nearest integer?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2435?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - 49. Let j = 108 - 113. Which is the second smallest value? (a) 1\/3 (b) j (c) -0.1 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-6))\/((-2)\/(-3)). Let t = 5213 - 5212.5. What is the closest to d in t, -8, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -22627 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 12*c + 4. Calculate the remainder when 63 is divided by i(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -13*l - 1 + 14*l + 0. Suppose i = 6*i - 15. Determine m(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w + 52. Let c be a(16). Suppose 6 - 21 = -5*p. Suppose -5*j + 16 = 3*m, 2*j - m - 8 = -p*m. What is the greatest common divisor of c and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2492*p - 2446. Let q(t) = -2500*t + 2442. Let s(o) = -4*i(o) - 3*q(o). What is the first derivative of s(a) wrt a?\nAnswer: -2468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*v = 176*v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 211048 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u + 3539*u**3 - 10*u**2 + 7*u + 26 - 3538*u**3 as k*u + c + y*u**3 + j*u**2 and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -876, -3548, -8014, -14274, -22328, -32176, -43818?\n\"Answer: -897*q**2 + 19*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 9. Let i = 4 - 9. Let q(f) = -f**3 - 6*f**2 - 7*f - 4. Let a be q(i). Let b be p(a). Solve -b*r + 21 = -4*s, -s - 9 = -3*r + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(80\/6 - 6\/(-9)). What is the highest common factor of 126 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*m = -296*m + 1358. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*w + 96 = 213*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*v - 93*v = 45*v + 283*v + 29106 for v.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2 + (-1 + 4 - 4)*(2 - 8 - 14))*(-o - 6*o + 0*o + 1).\nAnswer: -147*o + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/10 - 3\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -218441.7635 rounded to the nearest 100?\nAnswer: -218400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9920 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 39\/4*l**4 + 9\/5*l**5 - 24*l + 14*l**3 - 6*l**2 + 2. Solve p(o) = 0.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.3 (c) 1 (d) -3\/5 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -5*g**2\/2 + 9*g - 147. Let z(y) = -9*y + 17. Suppose f - 15 = -4*f - 5*l, -3*l = 3. Calculate f*z(m) - 7*p(m).\nAnswer: -m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-36)*1\/(-3). Let t(i) = -i**2 + 16*i + 18. Let b be t(17). Which is greater: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468887.\nAnswer: 468887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 + 141 = -3*l. Solve 16 = -l*m + 21*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2885366 is divided by 163.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -8*g + 7\/2*g**2 + 1\/3*g**3 + 2. What are the prime factors of l(-14)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 113 = 129. Let c = 25 - w. What is the least common multiple of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 3*h**2 - h**2 + (3 + 1 - 3)*(-h + h - 2*h**2))*(-1 + 1 - 2*h**2 + (-h + 0 + 0)*(h + 0*h + 2*h) - 8*h**2 + 2*h - 2*h).\nAnswer: 52*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) -0.4 (c) 4994 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, -3, 0, 4111, 5, -2 in increasing order.\nAnswer: -3, -2, 0, 2, 5, 8, 4111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -5*o**4\/24 + 9*o**2\/2 - 6*o. Let i(s) be the first derivative of q(s). Let f(v) = -2*v**2. Calculate f(i(h)).\nAnswer: -50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bslisbhc. Give prob of picking 1 l and 1 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 6*h**2 - 2. Let s be a(-4). Calculate the highest common divisor of s and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 4. Let y(v) = -5*v - 17. Suppose -5*o - 26 = -3*g - 34, 4*o - 10 = 3*g. Calculate o*y(a) + 9*m(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 30, 71, 140, 243?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -658\/11103 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -39, -72, -115, -168, -231?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 54074396?\nAnswer: 54074396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 362, 544, 726, 908?\nAnswer: 1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*u + 1615 - 203 = 96 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - w - 4 = -4*t, 19673*t + w = 19674*t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1096*z**3 - 921*z**3 - 1118*z**3.\nAnswer: -3135*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 7*r**2 - 3*r**2 - 4*r**2.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/60 and -11\/15618?\nAnswer: 156180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463*h = -459*h - r - 23, 7*h - 4*r - 47 = 0. Sort 7, h, 1, 12 in descending order.\nAnswer: 12, 7, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2175*d**2 + 175*d. Let w(h) = -25*h**2 - 2*h. What is 2*i(v) + 175*w(v)?\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from dxxdddddxx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-7 - (-5 + 4)) - -3) + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 452737106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16237 is divided by 4048.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c = -21*c + 20. Suppose c*o = 2*o + 87. Solve -4*b + 9*b - 23 = 2*l, -4*l = 5*b - o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29777, 2, 0.1 in descending order.\nAnswer: 29777, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21412, 1, -0.4, -4, 4, 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 - 6*r**3 - 2*r**2 + 6*r.\nAnswer: 2*r*(r - 3)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 0*m**3 + 0*m**2 - 1\/3*m**4 + 0*m**5 - 5*m + 1\/14*m**7 + 0 + 0*m**6. What is the third derivative of d(c) wrt c?\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2739 a factor of 495403770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -17*n**3 + 2*n**2 - 65*n - 290. List the prime factors of p(-8).\nAnswer: 2, 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 14*s - 21. Let d be n(-12). Let q(t) = -d*t - 3*t - 1 + 7*t. Let h(a) = -1. Let y be -13*(-1)\/(-3) - 4\/(-12). Give y*q(z) + 5*h(z).\nAnswer: -4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 30 = 3*t, 0 = -t - 2*t + 4*z + 24. Suppose -3*r = 0, -4*m + 8 = -r - t. Suppose -m*o - 5 - 16 = -3*u, -u + 3*o = -11. Solve 4 = 6*k - u*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 28. Let s be m(0). What is the common denominator of (-7)\/42 - s\/(-18) and 49\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1459\/1062 or 16?\nAnswer: 1459\/1062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003177 rounded to five dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - l + 13276, l - 3300 = -t - 4*l. List the prime factors of t.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 102296*z - 11 + 3.\nAnswer: -102296*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 less than -388\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 28295 + 28331 = 4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + b = -0*b, 2*r - 5*b = 13. Suppose 16 = -i + 5*d, 3*i + 12 = -d - 2*d. List the prime factors of -3 - -2 - (i - r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*g + 225, 145 = -5*g + 4*i + 696. Suppose 2*l = 145 + g. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 4, 2, 0.4, -79?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**5\/60 - d**4\/24 + d**3\/6 + 599*d**2. Let m(x) = -3*x - 1. What is -m(b) + 2*y(b)?\nAnswer: 2*b**2 + b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/10)\/(12\/(-80)). Suppose -5*m = -476 + 156. What is the highest common factor of m and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-3*sqrt(2178)*6)\/(-2*4*(sqrt(9) + sqrt(45)\/(sqrt(25)\/sqrt(5) + sqrt(5)))))**2.\nAnswer: 8712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.4, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2949659 is divided by 143?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 122*a - 2 - 173*a + 55*a - 11 to f*a + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -13*g**2 - 13*g - 3. Calculate v(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, l: 1, p: 1}. What is prob of sequence lddd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -9*i**2 + 9*i**2 + 10*i**2 + 9*i. Let y(v) = -5*v**2 - 5*v. Let l be (-8)\/(-6)*75\/10. Let k(p) = l*y(p) + 6*b(p). Factor k(d).\nAnswer: 2*d*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -555520621777293 minus 0.2?\nAnswer: -555520621777293.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.55 - -0.732. Let x = -27.182 + r. Which is greater: x or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8589090 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: Solve -33*v - 5*v - 123 = -268 - 197 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -10*t**3 - 6*t**2 + 7*t - 10. Determine g(-6).\nAnswer: 1892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 87089976 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1850*l + 1855*l + 5*m + 10, -1 = -l - 4*m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 + y**4 - 4*y**3)*(4*y - 2*y - 4*y)*(4 - 2 + 0) + 0*y**3 - 2*y**5 + 0*y**3.\nAnswer: -6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, v: 10, q: 4, n: 1}. Give prob of picking 2 q.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 14*v = -16. Put 0, v, -3 in increasing order.\nAnswer: v, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m + 0*m - 1 + 0*m - 57*m**2 - 85*m**2 + 0*m + 143*m**2. Let c = 5 - 7. Calculate d(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3736 = 9*s + 604. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -31. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/5, -5, -82, -1\/8 in descending order.\nAnswer: 4, 1\/5, -1\/8, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7752016, 7752009, 7752000, 7751989, 7751976?\n\"Answer: -m**2 - 4*m + 7752021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 9*s**2 + 7*s - 12. Let r be d(11). Let f = -102 - r. Let b = 121 - f. What is the remainder when 182 is divided by b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -87*j - 134, 4*j = -16755*d + 16756*d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 46 - -1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 v when four letters picked without replacement from nnnennvvnjynny?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 2)*(-3*x**3 - 12*x**3 - 8*x**3).\nAnswer: -92*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-5*sqrt(22))\/sqrt(2) - (-4 + sqrt(11)*-3)).\nAnswer: -2*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 410573384 and 6266.\nAnswer: 6266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221221122220021 - 0?\nAnswer: -221221122220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -11. Let x = y + -7. Is -1\/9 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -12*j**2 + 45*j - 33. Let i(r) = -3*r**2 + 11*r - 8. Let p(y) = 4*h(y) - 15*i(y). Factor p(f).\nAnswer: -3*(f - 4)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*h - 4 = 8, -12 = 2*t + 3*h. Solve t = 4*y - 3*f + 8, 0*y + f = -y + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46.014936 + 0.028064. Let v = 46 - w. Let q = v - -0.0429815. Round q to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166581469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (26\/44)\/(7\/(-2828)). Let k = n - -239. Which is the second biggest value? (a) 0 (b) k (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12037867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 97*h + 1879. Give d(-63).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 14*b**3 - 402*b**2 - 112*b + 2. Calculate y(29).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 219289.87 and -1?\nAnswer: 219290.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 32820878127334 + 2\nAnswer: 32820878127336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3735052?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*((-8)\/2 - 4). Suppose -d + 49 + u = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -245154170 + -1?\nAnswer: -245154171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -254*n**3 + 254*n**3 + 14*n**5 + n**4 + (-4*n**3 + 2*n**3 + n**3)*(3*n**2 + 3*n**2 - 4*n**2).\nAnswer: 12*n**5 + n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*g - g. Let b be (-20)\/(-15)*(-1 + 4). Let y = b - 1. Put g, y, 4 in decreasing order.\nAnswer: 4, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19534, 39070, 58608, 78148, 97690, 117234?\nAnswer: 136780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67428011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/3 + 10478816*t\/3 - 3492938.\nAnswer: -2*(t - 5239407)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -459718 or -459705?\nAnswer: -459718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 = -20*l + 25*l - 27*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*t - 186*t = 15, -5*k = -3*t - 75. Which is the closest to -0.1? (a) -9 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**4 - 28885*o**3 - 38268940*o**2 + 10087770700*o - 211421613840 = 0 for o.\nAnswer: -3002, 23, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.0077 less than or equal to -5\/923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/225 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -210 - -209. Which is the biggest value? (a) 4 (b) y (c) 15.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + -2 + 5 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42820286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 59388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 + 4*f - 4. Let y(v) = v**2 + 3*v - 3. Let a(z) = 3*g(z) - 4*y(z). Let j(b) = -8*b. What is a(j(c))?\nAnswer: 128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 35.9. Let y = 23.1 - g. Is -2\/3 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - (2 - (6 + -2)). Calculate the common denominator of 109\/6 and 3 - ((-30)\/u)\/((-9)\/(-7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in years?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -9*d - 6*d + 13*d - 5*d**2 - 3 + 7*d**2. Let m(p) = -p**2 + p + 1. What is -k(j) - 3*m(j)?\nAnswer: j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 3. Let b(w) = -2*w + 5. Let k(a) = 3*b(a) + 7*d(a). Let z(t) = 6 + 4 - 3 - 2*t + 4. Let n(c) = 7*k(c) + 4*z(c). What is n(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -392 - -395. Suppose -3*n + 10 = -2*o + 27, 0 = -o - n - 4. Let j(d) = 1 + d - o. Give j(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2012\/(-12))\/(1\/(-3)). Let p be g + (1 + -2)*-3. Let v = -283 + p. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - i = -3*i + 170, 64 = a - 3*i. What are the prime factors of a?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3. Let m(o) = 7*o**4 + o**3 - 9*o**2. Let b(z) = -m(z) - y(z). What is the third derivative of b(r) wrt r?\nAnswer: -168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3 + (5 - 2 - 2)*(3 - 1 + 0))*(0*o - 4*o + 2*o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 499 in decreasing order.\nAnswer: 499, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8*-3640.\nAnswer: -6552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**6\/120 - y**5\/60 - y**4\/24 - y**3\/6 + 6*y**2. Determine s(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*x + 2, 0 = 3*r + 4*x - 5. Let m be -2 + r + (0 - -1). Suppose -9*i + 10*i - 2 = 0. Solve -m*s - i = 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*s + 100 = 0, -s + 2 = 1. Suppose 0 = -2*a - z + 29, 4*a - 5*z + 9 = 32. What is the remainder when l is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -681 - -681. Suppose k - 4447 = -5*j, -4435 = -5*j - c*k + 5*k. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*sqrt(119)*1)\/((2*sqrt(7) - sqrt(7))*-1 + sqrt(700)*1)*-2.\nAnswer: -20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -1595*s**3\/3 - 3*s**2\/2 + 40*s - 2068. What is the second derivative of o(c) wrt c?\nAnswer: -3190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + -8bc932?\nAnswer: -8bc925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*m + 1550 + 330 - 476 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -391*u**5\/30 + 106*u**3 - 2030*u**2. What is the first derivative of g(a) wrt a?\nAnswer: -1564*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010111000101 + -1000110011000?\nAnswer: -11011101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322846179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*f - 44, -9*f - 71 = -4*k - 8*f. Calculate the highest common divisor of k and 12176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from jsscsozss.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m = -5*n - 488, -2*n - 3*m - 180 = 0. Calculate the common denominator of 1\/4 + 5 + 1112\/n and 23\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3*sqrt(1470)*-1 + (sqrt(1470) + sqrt(1470) + 1*sqrt(1470))*-2))\/((sqrt(1728)*3)\/(sqrt(2)*-1*2)).\nAnswer: 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f6 (base 16) to base 13.\nAnswer: -15c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736335 is divided by 232.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, i: 2}. What is prob of sequence iix?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 3) + 11 + -4. Suppose 5*u - b*u = 5. Let s(q) = -q + 1. Let j be s(-3). Solve -5*k = -u*y - k - 21, -j*y = -4*k + 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26870280 divided by -2239190\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106349.4 + -106349.55000032. Let o = i - -0.15. What is o rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 + a**4 - a**4 + (5*a**3 - 3*a**3 + 5*a**3)*(2 - 2 + a) - 4*a**4 + 0*a**4 + 2*a**4.\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 6\/4*2. Suppose 36 = -0*y + y. Find the common denominator of -1 + (213\/y)\/v and -21\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 843.14 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/3 - 10*t**4\/3 + 70*t**3 + 10*t**2\/3 - 208*t\/3 = 0. Calculate t.\nAnswer: -13, -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -184510764 or -184510763?\nAnswer: -184510764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -5*k + 6*q, -36668*k - 4*q = -36663*k + 26 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 1462 = -398. Let o be 1*q\/(-6) - 7\/(-21). Let v be (-5)\/o - (-28)\/10. What is the biggest value in 2, -3\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*v + 33 - 24, 10 = 2*m + 2*v. Solve 77 = -m*o + 86 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o = 218. Suppose -5*x - c + 291 = 2*c, -4*x + 5*c = -o. What is the remainder when x is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001246 to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1*4.53\nAnswer: 4.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -25*y**2 - 22*y**2 + 2*y + 80 + y**3 + 2*y + 67*y**2. Let z be d(-20). Which is smaller: 5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1093647 is divided by 3304.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 108\/50*180\/(-9)*-5. Let k = -187 - -67. Let l = b + k. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -530188 (base 9) to base 4\nAnswer: -1030323101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -13. Suppose 2*x + g*r - 100 = 0, 0*r = -4*x - r + 214. Suppose t = -4*j - 4*t + 112, 2*j = -3*t + x. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14577924*a**5 - a**3 + 2*a**2 + 145906642*a wrt a.\nAnswer: -291558480*a**3 - 6*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -14 + 38. Let o(v) = -v**2 + v**2 + 2*v**2 + f*v**2. Let n(z) be the second derivative of z**3\/3 + 6*z. Determine o(n(r)).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - sqrt(52)) + sqrt(52) + sqrt(52))\/sqrt(4) - (2 + sqrt(468))**2.\nAnswer: -472 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1388 + 3*t + 592 + 26)*(1 - t - 1).\nAnswer: -3*t**2 - 2006*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5*s + 878, -63*s = -m - 64*s + 442. What is the remainder when m is divided by 159?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q\/((q\/(q\/(q\/(q*(q*q**(1\/8))\/q)*q)))\/q))\/q*q)\/q*q)**(-47)\/(q**(-7)*q\/(q\/q**(-1))*q) assuming q is positive.\nAnswer: q**(-743\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073989970.\nAnswer: 2, 5, 3041, 35317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -160\/37 at least 13582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 6:05 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -941 = w + 5*n, 0 = 3*w + 3*n - 0*n + 2823. Let f = w + 1005. What is the least common multiple of 10 and f?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 698*y - 410. Is z(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17463*c**2 + 9383*c.\nAnswer: -34926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -58 - 770346?\nAnswer: -770415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2979 + -2977. Solve 3*c = 2*i + 12 - 2, 0 = -c + s*i + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 263 - 3. Let z be r\/(-30) + (-12)\/(-30). Which is the closest to 0.3? (a) 5 (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((-16)\/(-1004)) - 1. Let o = y - -517. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xmxdxumxmaxd. Give prob of picking 1 x, 1 d, and 2 m.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2. Let l(n) = 23214*n. Determine l(k(g)).\nAnswer: -23214*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 532, -62, -1058, -2456, -4256, -6458?\n\"Answer: -201*l**2 + 9*l + 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1 - 47*q + 0 - 4 + 46*q. Determine d(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.13 + -0.13. Let b = 0.12154 - 0.18154. What is the second smallest value in -1, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -764672 divided by 875?\nAnswer: -764672\/875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -293\/10350 or -1?\nAnswer: -293\/10350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1110001111010101111 (base 2) to base 3\nAnswer: 212201001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -227 - -236. Solve -2*p - m = -1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5754590? (a) 4\/9 (b) -1 (c) -5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, f: 2, k: 3, h: 2, c: 2, w: 2}. Give prob of sequence krwc.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/1433 + 37289\/44423. What is the common denominator of 31\/136 and d?\nAnswer: 4216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3943, -1243 in decreasing order.\nAnswer: 3943, 2, -1243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**3\/3 - 5*c**2\/2 + c + 92. Let h(b) = 3*b**2 - 2*b - 1. Let z be h(2). Give u(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/21 (b) -33\/4486 (c) -1\/4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d. Suppose -3*t = -10*t + 56. Let p(u) = -21*u - 34*u - 33*u + 68*u. Calculate t*j(g) + 3*p(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2 + 3 + 2. Let a(j) = -263*j - 90. Let l(g) = -35*g - 12. Let i(w) = -2*a(w) + 15*l(w). Give i(x) + s(x).\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, e: 8, t: 4, z: 1}. What is prob of sequence ze?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233716083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -0.1?\nAnswer: 14.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 853 + -847. Solve -11*y + r = -17*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + ((sqrt(500)*1)\/sqrt(10) + sqrt(1250) + sqrt(1250)*2)\/(sqrt(490)*-1 + sqrt(10) + sqrt(10) - 3*sqrt(160)))*6)**2.\nAnswer: -1152*sqrt(5)\/17 + 56484\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**3\/6 - u**2\/2 - u. Suppose -17*v = -2*r - 19*v - 10, 4*r + 5 = -v. Calculate l(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5843 (base 11) to base 4\nAnswer: 1313312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.1. Let k = 0.124 + -0.224. What is the closest to k in v, 5, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3 + 546*b**2 = 0. What is b?\nAnswer: -182, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 734*k - 743*k + 207. Calculate the greatest common factor of 3 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 - -72. Let g = x + -19. Which is the closest to 1? (a) 3 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 2 + 2 + 5. Let c(z) = -z + 5. Let a(f) = -5*c(f) + 4*k(f). Let t be (10 - 1)\/((-138)\/(-92)). Give a(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -935536\/165 - -5670. Calculate the common denominator of 2\/1617 and a.\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-8))\/(279243\/(-259008))\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4463 is divided by 2216?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(366\/(-1428) + 4\/14). Let v = 18 + g. Calculate the remainder when v is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b190 (base 15) to base 6.\nAnswer: -5051013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 - -42. Calculate the common denominator of (-194)\/9*w\/(-32) and -13\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*z - 11, 2*z - 5 + 0 = -3*u. Which is greater: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*-4 - -6*((sqrt(448))**2 - sqrt(7)) - (sqrt(5929)*-2 + sqrt(49))\/(sqrt(7)*2*4).\nAnswer: -187*sqrt(7)\/8 + 2688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -142*r + 69*r + 78*r. Let z(v) be the third derivative of 5*v**4\/24 + 6*v**2. Give z(d(l)).\nAnswer: 25*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 552, 605, 694, 819, 980?\nAnswer: 1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - g - 6. Let i(q) = -g + 6*q + 3 + 1 + 2. Let z(h) = -2*h - 1. Calculate -2*i(b) - 7*z(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i - 8. Let h(x) = -6*x - 23. Let r(c) = c**3 + 10*c**2 + 19*c + 13. Let b be r(-8). Give b*j(l) + 4*h(l).\nAnswer: -2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 998770*0.3\nAnswer: 299631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10000101011110011101 (base 2) to base 4\nAnswer: 2011132131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -12. Let u(p) = p**3 - p**2 - 3*p + 2. Let l be u(b). Solve 5*d + n + 20 = l, -d + 2*d = -4*n + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 425530329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m + 119\/8 + 1\/8*m**2 = 0. What is m?\nAnswer: -17, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.266 rounded to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 10:17 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((14911\/65)\/(4\/(-10)))\/((-3)\/60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 24 = -5*m + 2*q, -3*m = 3*q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, 5, -29, -99, -217?\n\"Answer: -2*m**3 + 4*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -36*h + 48 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 - 49432*u**3.\nAnswer: -4*u**3*(u + 12358)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053148 to the power of 1\/2, to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 5*h**2 + 11*h - 2. Let c be x(-7). Suppose -4*y + c = 3. Suppose b - o + y*o = 52, 0 = 3*b - 2*o - 211. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-2 - 3) - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.16 - 1.04. Let n = w - -4.2. Which is the closest to 1? (a) n (b) -1 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4872, -9761, -14650, -19539, -24428, -29317?\n\"Answer: -4889*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 10*q**2 - 14*q + 8. Let i be u(8). Suppose 11*x = 9*x + i. What is the remainder when x is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83558605667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 3) to base 6\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.02029.\nAnswer: -0.004058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000212789596 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3.344 times -0.255\nAnswer: 0.85272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2, -16, 5, -1894, -9, -3 in ascending order.\nAnswer: -1894, -16, -13, -9, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 342984 and 2186523?\nAnswer: 17492184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2842 (base 10) to base 5\nAnswer: -42332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*(20\/6 - 2). Let k = 20 - n. What is the highest common divisor of 30 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbb when three letters picked without replacement from brrrbrbbbbrb.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41850 and 20628.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 10*a + 7. Let b be m(4). What is the greatest common divisor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 46 = c, 5*q + 2*c = -3*c + 80. Let i = -13 + q. Let v(n) = n**3 - n**2 - 1. Let k be v(i). What is the highest common factor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*b - 42, 0*b = -b + 2*l - 10. Let c = 9 + b. Solve n - 2 = c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480)\/(sqrt(32)\/sqrt(4))*-6)\/(sqrt(192) - -3*sqrt(192)*1))**2.\nAnswer: 45\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -9038 greater than or equal to -8978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 24. Let c be (-78)\/(-255)*(b - -1). Let r = c - 1459\/34. What is the common denominator of -15\/4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11801, 22691, 33581?\n\"Answer: 10890*h + 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 13. Calculate u(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148679, -147458, -145423, -142574, -138911, -134434, -129143?\nAnswer: -123038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 12*s - 9*s + s**2 - 2*s + 4*s**3. Let u be m(-1). Sort u, 5, -5, -2 in decreasing order.\nAnswer: 5, -2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23074865\/1380)\/(-319) + (-5)\/(-12)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*o - 8, -5 - 1 = -2*n - 2*o. Determine h, given that -h**2 - 7*h - n*h**2 - h + 7*h**2 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j**2 - 11*j - 12. Let k(x) = 5*x**2 - 6*x - 6. Calculate -4*h(z) + 7*k(z).\nAnswer: -z**2 + 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l - 3*l - 7*l + 0 - 4. Let v(q) = q**3 + 7*q**2 + 5*q - 4. Let z be v(-6). Suppose z*u - 4*c = -2*c + 10, 5*u = -5*c - 25. Calculate k(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 5*p + 24, 0 = -p - 0*r + 2*r - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(77) + (sqrt(77) - 2*sqrt(77))) + 2*sqrt(77)*2)*6)\/(1*sqrt(891)*5*1).\nAnswer: 8*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*j + 17*j - 29*j - 13*j.\nAnswer: -95*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 - 91. Suppose 0 = b*d - 291 - 299. What is d rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 4*j = -85, 5*r + 77*j = 75*j + 85 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.7 + 17.7. Let k = -0.2 + 0.37. Which is the second biggest value? (a) 0.4 (b) h (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - -0.8. Let z(f) = -6*f - 3. Let n be z(-1). Which is the closest to o? (a) 5 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (1 - 59 - -79).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewt when three letters picked without replacement from {e: 1, f: 2, t: 6, w: 1, j: 6, s: 2}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 350*f**2 - 11619*f + 2285. What is b(33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -b - 14, -38335*p = 5*b - 38330*p + 45 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w + 30 = 26*w. Suppose -1 = -4*p - 3*t, p + w*t + 0 = -2. Solve 0 = -4*d + 5 - p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 12:44 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -4\/721, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/((-750)\/(-20)))\/(1\/(-25)). Solve 0 = -l*d + 1 - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -113249, -226392, -339531, -452666?\n\"Answer: 2*l**2 - 113149*l - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-58)\/(-4))\/(10\/(-360)). Let f = -1565\/3 - z. Let g(l) = -l**3 - 8*l**2 + l + 8. Let y be g(-8). Which is the biggest value? (a) y (b) f (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(684)*-3)**2 + -1 + ((sqrt(190) - (sqrt(190)*1 + sqrt(190)))*-3)\/(sqrt(60)\/sqrt(96)).\nAnswer: 12*sqrt(19) + 6155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.6 + -10. Let x = 2.25 - 2.22. Which is the nearest to -0.2? (a) q (b) x (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-416)\/(-40))\/13)\/(2\/20). Suppose 0 = -s - 3*t + 6*t + m, -8 = -2*s + 2*t. Solve -5*b + 20 = 4*k, -5*k - 8 = s*b - 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.072 - 30.072. Let d = -15 - k. Let j = 10 - d. Which is the second smallest value? (a) 5 (b) j (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7352121.\nAnswer: 3, 7, 71, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5301735, 5301682, 5301629?\n\"Answer: -53*z + 5301788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6215426*w**4 + w**2 + 2*w - 1503272.\nAnswer: -149170224*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/278 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6466 + -6466. Put 1, m, -146, 4 in descending order.\nAnswer: 4, 1, m, -146","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m + 8. Let x(g) = -g**2 - 3*g + 9. Let t be x(-5). Let v be q(t). Solve -5*s - v = -2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -1\/4 (b) -2\/11 (c) 96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 847 a factor of 7915915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(5\/3)*s*s**(4\/7))\/(s\/(s*s**(-1)*s))**(-2\/9) assuming s is positive.\nAnswer: s**(19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-2))\/((-14)\/7). Suppose t = 16*k - 18*k - 216. Let n be (6\/(-4))\/(9\/k). Solve -n = -5*y - 4*z + 6*z, 4*z + 8 = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*z**5 + 50615*z**3 - 50605*z**3 + 0*z**5 + (-3 - 2 + 2)*(0*z**2 + 2*z**2 - 3*z**2)*(-3*z**3 + 4*z**3 + z**3).\nAnswer: 4*z**5 + 10*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 - -54. Solve -5 - 1 = y*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*y**2 + 64*y - 7 + 24 - 18 as k*y**2 + c*y + q and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1382, -5569, -12596, -22505, -35338, -51137?\nAnswer: -69944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 222*f - 21916. What is b(96)?\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 4*g + 5*x + 26, 0 = g - 2*x - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 - -12.9. Let b = -2.357 + -11.6401. Let r = t + b. Round r to four dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.7766 to 1 decimal place.\nAnswer: 23.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 1. Let k(y) = 5*y - 7. Let z(o) = -4*b(o) + k(o). Let l be z(7). Suppose v - l = 6. What is v rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 14*a**5\/9 - 12*a**4 + 38*a**3\/9 + 80*a**2 + 200*a\/9 = 0.\nAnswer: -2, -2\/7, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhhdghddgdgg. Give prob of picking 2 h.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(2\/5)*q)**(-1\/90)\/(q\/(q*q*q**(2\/37)\/q*q)*q**(-3))*(q\/((q*q*q*q**0)\/q*q))**(-30)\/(q\/q**(-1))**(-1\/29) assuming q is positive.\nAnswer: q**(30943559\/482850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1974185204 to the power of 1\/2, to the nearest integer?\nAnswer: 44432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2518 - 2630. Sort 5, 0.1, u in descending order.\nAnswer: 5, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51241.\nAnswer: 51241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4954 + 4952. Which is the second biggest value? (a) -3\/16 (b) t (c) -8.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, n: 2, o: 1, k: 2, g: 1}. What is prob of picking 1 n and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 320 + -180. Suppose -w + 210 = 3*i, 2*i + y = 4*i + w. Calculate the remainder when 50 is divided by (4 - 1)*(i\/15 - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*i + 10*i - 5, 3*i = -2*p + 3. Suppose -3 = -4*h + 5. Suppose -3*o = -2*k + 19, -1 = -3*k - h*o + 8. Solve -d + 4 - k = p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 10*j - 2. What is r(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 77*z**2 + 554*z - 19. What is t(-8)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*y + 17 + 33 = 0, 0 = 3*c + y - 55. Suppose 2*u + u = c. What is the third derivative of b**u - 3 + 3 - b**2 wrt b?\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 13 - 3*h + 6*h - 2*h + 0*h. List the prime factors of v(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(20)\/(sqrt(80)\/sqrt(8)))**2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 b when three letters picked without replacement from gfgfbffgfgfghfggg?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + -1 - 201\/3. Let d be (-18)\/i + (-4)\/14 + 1. Solve -2*v + d = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1197 + 75*u - 32*u - 1188 - 41*u.\nAnswer: 2*u + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3302353\/333 + 9917. Let y = -25988198\/23 + 225005754137\/199134. Let b = y - w. What is the common denominator of 9\/22 and b?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f - 1781 = -100*f - 20*f for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 69, 83, 113, 165, 245, 359?\n\"Answer: x**3 + 2*x**2 + x + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 12 - (-18)\/(-10)) + 114\/(-470)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 8:22 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14887 * 0.53.\nAnswer: -7890.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*o**2*v**2 + 2*o**2 + 17*o*v**2 + 6*o*v wrt o?\nAnswer: 148*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/25)\/(j*j**16) assuming j is positive.\nAnswer: j**(-424\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 23672.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 - r**2 + 2*r. Let b be w(-2). Let j = -8 - -5. Let z = b + j. Solve a = z*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 106 - 6. What is the remainder when 74 is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, 1.1 in increasing order.\nAnswer: -2, -0.4, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792552334?\nAnswer: 2, 7, 4177, 13553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 34*q**3 + 1254*q**2 - 148*q = 0. Calculate q.\nAnswer: -37, 0, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 43?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2*j - 9 + 4 + 2.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -169*m**2 + 3042*m + 38. What is q(18)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4\/5 + 511*d**3 + 628584*d**2\/5 + 40452188*d\/5 - 41083328\/5 = 0. What is d?\nAnswer: -2288, -134, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1377 - -1383. Let n = -10.01 + 10. Which is the smallest value? (a) n (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8*y**2 + y + 1. Let z(c) = -33*c**2 - 5*c - 4. Calculate 9*g(n) + 2*z(n).\nAnswer: 6*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 155, 155, 161, 179, 215, 275, 365, 491?\n\"Answer: y**3 - 3*y**2 + 2*y + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 1. Find the second derivative of 3*x**2 - 3*x**5 - w*x**2 + 2*x wrt x.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + 0*p + 2*p + p + p - 3*p + (0 - 1 + 3)*(1 - 1 - 2*p) - 4 + 4 - 8*p + 2*p - 15*p - 18*p + (3 - 3 - p)*(1 + 4 - 1) to h*p + v and give h.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2. Suppose -37 - 47 = -4*h. Let n(y) = 24 - 3 - 6*y**2 - h. Determine l(n(k)).\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*h = -68*h + 32 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-eight fifths of a meter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 165*l**4 + 3*l**3 + 4*l**2 + 85*l + 9641722?\nAnswer: 660*l**3 + 9*l**2 + 8*l + 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 148619 + 714352\nAnswer: 862971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 + -61. What is the remainder when s is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 4\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 652170, 652171, 652172, 652173, 652174?\n\"Answer: b + 652169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 602, 8390 in descending order.\nAnswer: 8390, 602, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434 = 44*w + 18*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 2*y**2 + 2*y + 2. Let z be c(2). Suppose -2*h + d = -z, d = 3*h + 5*d + 2. Solve -4 = -3*l + h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by 23.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**3\/6 - b**2\/2 - 15*b. Determine o(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 - -c?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 120549437 less than 120549437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2. Let u(a) = 19*a + 7487. Give u(l(j)).\nAnswer: 38*j**2 + 7487","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**28\/(a\/(a**(2\/9)*a)*a) assuming a is positive.\nAnswer: a**(245\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 41. Let q(y) = 7*y**3 - 3*y**2 - 35*y + 5. What are the prime factors of q(g)?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**2 + y + 1. Let s be x(2). Let b be 6\/s*(-15)\/(-6). Put -5, b, -4 in ascending order.\nAnswer: -5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-12) - 1)*16\/(-48)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 10 = -7*q, 2*l + 5*q = 23. Suppose 65 = 2*r - s, 214 - l = 5*r + 3*s. Calculate the greatest common divisor of r and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 243075 = -36*x. What are the prime factors of x?\nAnswer: 3, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/20 and (11\/20)\/((-1 + 0)\/7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(12\/(-14))*((-173758)\/(-5453) - 32).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(5) + -2))**2 - sqrt(20)\/(sqrt(20)\/sqrt(5)).\nAnswer: -17*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -296 + 295. Let l = 0.14 + 0.06. Put -3, n, 2, l in decreasing order.\nAnswer: 2, l, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69348 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -44076523 (base 8) in base 2?\nAnswer: -100100000111110101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 2:23 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**7\/5040 + 13*j**5\/30 + 3*j**2. Let f(b) be the third derivative of n(b). Let l(g) = -13*g**2. Determine f(l(p)).\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/72)\/((-145)\/116))\/(3\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l + 1. Let k be v(5). Is 12 a factor of 0 - k - (3 + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 168 - 154. Suppose -13*v + 2*o = -a*v - 2, 0 = -o - 2. Put 0, 3, -2, v in decreasing order.\nAnswer: 3, v, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5379693 - 0.187?\nAnswer: -5379693.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 125297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264224531.\nAnswer: 149, 1773319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 98773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + -168 + 118 + (-1 - -3) + 0 + 51?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b - 2. Let w(f) = -3*f**2 - 3380*f + 10. Give 5*v(a) + w(a).\nAnswer: -3*a**2 - 3340*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 250517381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 91 in 3, 0.5, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 18 - 1*(-10)\/(-2)) + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.024827 to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1402 is divided by 108?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 31. Let s be d\/(-6)*(-18)\/(-15). Find the second derivative of -2*v - 3*v**3 - 2*v**3 - 3*v + s*v wrt v.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*1)\/(sqrt(196)*4).\nAnswer: sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -79, -101, -121, -139, -155?\n\"Answer: y**2 - 25*y - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**6\/39 + 4*f**5\/13 + 20*f**4\/13 + 160*f**3\/39 + 80*f**2\/13 + 64*f\/13 - 14. Factor c(p).\nAnswer: 2*(p + 2)**5\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -196*p**3 - p**2 - 6*p - 20167.\nAnswer: -588*p**2 - 2*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.38+46788\nAnswer: 46788.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 28 - 2*j**2 + j**2 - 15*j - 6*j**2 + 6*j**2. Let q(s) = s**3 + 8*s**2 + 4*s + 22. Let p be q(-8). Calculate the remainder when b(p) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 29. Let g = -31\/2 + b. Suppose 2*w + 1 + 3 = 0. Is w smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37062 is divided by 1425.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4*62\/(-1064) - (-18)\/63\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -14104?\nAnswer: 14123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 - 3*k**3 + 4*k**3 - k**3 + 2*k**3 - 3*k**3 + (2 + k - 2)*(-2*k**2 + 1 - 1) + (-18*k**2 - 5 + 5)*(-2*k - k + 2*k)*(2 + 2 - 6).\nAnswer: -41*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*h + 6 = 0, 9*o - 9*o - 6*h + 12 = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, p: 1, j: 1, s: 2, i: 2, h: 1}. Give prob of picking 1 h, 1 j, and 1 p.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 8 - (11 + -4 - 9 - 7)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000631192109 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 613, 1221, 1829, 2437?\nAnswer: 3045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 7:06 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 16669175\nAnswer: -5000752.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + (8 - (4 + 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/7 + 25892*q**4\/7 - 4662656*q**3\/7 + 211371476*q**2\/7 + 666094*q - 30199624 = 0. What is q?\nAnswer: -1, 1, 91, 12764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5924 in 0.1, 1\/2, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prurpxxf. What is prob of picking 1 r and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 476 + 146 = 0. Suppose -3*v - 4*c = -r, -v = -3*c - 38 - 3. Suppose -d + 4*d - 57 = 0. What is the highest common factor of d and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 + 4 + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, v: 7, q: 2}. Give prob of picking 1 q and 3 w.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 919959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-29)\/(-145))\/((-4)\/15). Which is the closest to 2\/5? (a) -3\/5 (b) l (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -313 - -316. Find the third derivative of -45*o**f - 189*o**2 + 3*o - 3*o + 267*o**2 wrt o.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(7) + (sqrt(35)\/sqrt(5) - sqrt(7))**2)*-4.\nAnswer: -4*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1388 + -55?\nAnswer: -13dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 317\/155 or 2?\nAnswer: 317\/155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*i**3 - 29*i**3 + 485*i - 484*i.\nAnswer: -60*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.5, 10, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*t = -z - 4, 0 = z - 3*t - 10. Suppose -2*x + z = 1. Suppose -x*l = l. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-12)\/10)\/(79\/(-1580)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -198*n + 119. Let t(u) = 7*u + 123. Let o be t(-19). Is d(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*(sqrt(810)*3 + sqrt(810) - sqrt(10))\/((-2*sqrt(12))\/sqrt(6)))**2.\nAnswer: 153117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 93.\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -704069 bigger than -704105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + -1 - (179 - (303 + -168))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2026594, 2026583, 2026572, 2026561?\n\"Answer: -11*r + 2026605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from gfjzjfzjfjf?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 10*a + 28 = 4*y, -y + 0 = -3*a + 29 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273\/4*k - 3\/8*k**2 - 24843\/8 = 0 for k.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6)*(-9)\/2. What is the lowest common multiple of 85 and (-45)\/(-60) + 1330\/8 + q?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, -35, -142, -293?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 252298, 504435, 756570, 1008703, 1260834, 1512963?\nAnswer: 1765090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 375?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*a**2\/11 - 414*a - 9132\/11 = 0. Calculate a.\nAnswer: -2, 761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4599.371s in milliseconds?\nAnswer: 4599371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 1:42 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.31 * -0.33252298.\nAnswer: 0.1030821238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6043*v**3*y**3 - 571*v**3*y**2 - 2*v**3 + 3*v - 1650091 wrt y?\nAnswer: 18129*v**3*y**2 - 1142*v**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2963*t - 70 = -2970*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t. Let o be ((-20)\/(-6))\/(34\/51). Let y(p) = 43*p**2 - 5*p - 5. Let s(q) = 21*q**2 - 3*q - 3. Let i(j) = o*s(j) - 3*y(j). Determine l(i(c)).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235.014 months to decades.\nAnswer: 1.95845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2388 and -29\/10.\nAnswer: 11940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-8))\/(27\/(-108))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001531 rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 767\/354*(-9)\/(-39).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i**3 + 3*i**2 + 20*i - 11. Let g(j) = -4 - 2*j + 8*j + 5*j**3 - 3*j**3 + j**2 + j. Let l(x) = -11*g(x) + 4*v(x). Is l(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m - 2. Let v be p(5). Let z = v - -42. Suppose -5 + z = 2*a. Calculate the remainder when 27 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1\/2 (c) 0.3 (d) -0.1828\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 2*d + 17. Let a be (-10)\/55 + 72\/d. Solve 3*m = -p + 2, a*p = -3*m - 2 + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 0 - 1\/13*b**2 - 1\/78*b**4 - 3*b + 2\/39*b**3. Factor j(g).\nAnswer: -2*(g - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8029*t**2 - 2 + 16068*t**2 - 8041*t**2.\nAnswer: -2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5603000 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 20 (b) -2 (c) -0.74 (d) -245\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(16\/24) - -517?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 18*q + 142, -5*g + 1135*q - 569*q - 54 = 570*q for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-9)*(-27)\/2. Suppose -b - 14 = -6. Let j = b - k. Calculate the least common multiple of j and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.000011 - 11. Round v to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**4\/24 - 23*f**2. Let k(a) = 12*a**2. Determine p(k(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 791126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68\/4223 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h. Let j = 0 - -3. Let n be -8 - (3*-2)\/j. List the prime factors of z(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1492*j + 13*j**3 + 8*j**3 + 12*j**3 - 31*j**3 to the form z + t*j**2 + a*j**3 + y*j and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 32. Suppose i*x + 20 = 0, 4*b - 5*x + 4*x - 4 = 0. Let w = -212 - -843\/4. Is b greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (6\/3 - -2). Suppose -4*p + 2225 = p. Suppose m*n - p = -2*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1439 + 2.78.\nAnswer: -1436.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddvg. Give prob of sequence dvgd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 16 = -2*d, -1 = 338*u - 337*u + 2*d. Calculate the lowest common multiple of u and 217.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 - (-9 + (-18 - 23))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6626608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*i - 35*i + 14*i - 7*r - 125, 4*i + 6*r = 5*r - 211 for i.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, j: 9}. What is prob of sequence rrr?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 263293\/15 + -17553. Let k = -8 - -6. Which is the closest to 0.2? (a) n (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -408 divided by 6?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - 0. Let r = g - -8. Let b = -171 - -170.9. Which is greater: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n - 16 - 20 + 32 - 14 + n. Give k(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 149 = 2*w, 3*b + 205 = -4*w - 66. Let f be 1 + 1 + 37\/(-1). Let i = f - w. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4954 - 4953. Are 779 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) -63 (b) 7\/9 (c) -1\/2 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 2 = 12*n. Put -1, 5, 30, n in descending order.\nAnswer: 30, 5, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*r - 758 = 10, -3*b = -r - 2264. Does 36 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1185185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -5. Let g be -3*(-3 - -2)*n. Let l = -2 - g. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*(sqrt(1008) + (sqrt(1008) + (4*-1*sqrt(1008) - sqrt(1008)) + sqrt(1008))**2)*1.\nAnswer: -36288 - 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 55 (b) 1 (c) 2 (d) -0.1 (e) 4 (f) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 85 * 0.592\nAnswer: 50.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 18, -173, 0 in increasing order.\nAnswer: -173, -1, 0, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o**3 + 67*o**2 - 67*o**2)*(-1 + 1 + 2)*(2 + 3*o**2 - 2 + (1 - 1 + 2*o)*(-3*o - o + 2*o) + 3*o**2 + 0*o**2 - 5*o**2).\nAnswer: -48*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30593, -61188, -91821, -122510, -153273, -184128, -215093, -246186?\n\"Answer: -3*p**3 - p**2 - 30571*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3455174*y**2. Let q(i) = 66*i**2. Calculate s(q(n)).\nAnswer: 15050737944*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100894, 25, 6, 3 in decreasing order.\nAnswer: 100894, 25, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/((-24)\/(-834)) + 3 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*i + 3157 = -91*i + 96*i + 179*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 2506156 = -1092934. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -18 - (0 + -1) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*o = -3930 + 14370 for o.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 18. Suppose y*n - 76 = 48. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/12)\/((-8)\/32). Let y(g) = -g**2 - 8*g + 5. Calculate y(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 6:49 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -20*(-3 - (-3)\/(9\/6)). Solve 5*k = -f - n, 10 = f + f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/6 + 45476603*m\/3 + 2068121420419609\/6.\nAnswer: (m + 45476603)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*n + 91. Is 26 a factor of (n\/(-14))\/((-1)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + (30 - 28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 6:40 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 + 5*p**4 - p**4)*(2*p - 2 + 2) + (4*p**3 - 4*p**3 - 2*p**3)*(-3*p + 5*p**2 + 3*p) + 4*p**5 - 5*p + 5*p.\nAnswer: -2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36.99 and -148573?\nAnswer: -5495715.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**2\/9 + 8*o\/9 + 8\/9 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 5*u + 0*u)*(6*u + u + 8*u) in the form q*u**2 + s*u + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 - 1183*p - 103203. Calculate u(-264).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - 10202?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2 - m - 3*m**2 - 4*m**3 + 3*m**3 + 2*m**2. Let w be c(-4). Solve 4 = -w*i - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2205\/(-294) + 45 + -32)*(-1 + (-125)\/(-11)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 224 + -154. Let y be (12\/10)\/((-3)\/(-70)). Calculate the greatest common divisor of x and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(896) + 1*(sqrt(896) - 3*sqrt(896)))\/(sqrt(21)\/(sqrt(75)*6)))**2.\nAnswer: -230400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**1*j)**(-7))**(-49))**(-8) assuming j is positive.\nAnswer: j**(-5488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09 + -0.31. Which is the nearest to -2\/5? (a) -5 (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.023 + -0.023. Let l = -2.042 - -0.042. What is the biggest value in l, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 566*j**5 - 42*j**4 + 3*j**2 + 222*j + 3731?\nAnswer: 11320*j**3 - 504*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + 0 + (-58)\/(-9) and (-1254)\/(-28) + 10\/(-35).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*b = 1203015, 1286982 - 484987 = 2*q + b. Round q to the nearest 10000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2098049*y + 22860195.\nAnswer: 2098049","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*d = -35*d - 2124. Let m = 3090 - d. List the prime factors of m.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/3))**5*(q\/(q**(-2\/9)\/q)*q)**(1\/5) assuming q is positive.\nAnswer: q**(404\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100 (base 2) in base 15?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = m + 2*m + 50 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + -2)*32\/80?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 1\/10, -5, 2, -1\/3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 988607594 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17 + 5)*16*(-1950)\/(-8). Round d to the nearest 1000.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-225)\/40)\/15 - (-68)\/96. What is the nearest to r in 0, -0.1, -40?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + 8 + (-10 - 0) + -10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 43 + 41 + 3*u + u - 6*u.\nAnswer: -2*u - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1952592 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*v - 57*v - 14 = 4*g - 28 - 28, 30*v = -4*g + 74 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -4. Let s = 51 + -51.4. Which is the second smallest value? (a) v (b) s (c) -0.2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -7*v - 77 + 66, 2*v + 5 = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.1 + 8. Sort -2\/7, -10, a in descending order.\nAnswer: a, -2\/7, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114490.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4456219909 to the power of 1\/5, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1872\/546)\/((234\/(-84))\/13).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 + 2)*(-2 + -13) is divided by (11\/((-88)\/32) - -10) + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31 to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 44841 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (156\/12)\/(741\/1710)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256953539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n - 12*n - n + (82 - 81 + 66)*(-2 + 2 + 2*n).\nAnswer: 127*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 38) + 39 - (1 - -8)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qllrrllllrwxxrlxwrr. What is prob of picking 1 w and 1 q?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7445.\nAnswer: 5, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -249*o*q**2 + 383*o*q - 79*o - 3*q**2 + 2*q - 43933 with respect to q.\nAnswer: -498*o*q + 383*o - 6*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e7b - -2?\nAnswer: 3e7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-6))\/((-1)\/6). Suppose -4*j - y = -0. Let v(a) = 2*a**3 + a**2 - a. Let f(i) = -i**3 - i**2 + i. Calculate j*v(r) - f(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137 - -137.4. Which is the closest to 1? (a) 0 (b) v (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + p**2 + 2*p + 1. Let g be (-3 - -2) + 6 + 0 + -4. Let l be (1 - -8)\/(-3)*g\/3. Give m(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2779 and 19560587?\nAnswer: 136924109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -332319692.6356107 - -159367647.03560882. Let g = 172952035 + t. Let w = g - -10.6. Round w to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030168 rounded to five decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -4572*v**5 - 1756434*v**4 + 3223184*v**3 - 1160322*v**2 - 300312*v - 1544 = 0.\nAnswer: -386, -1\/6, -2\/381, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1.9. Let k = 0.1 - z. Let w = k + -0.1. Which is greater: w or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times 3?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.932863s to nanoseconds.\nAnswer: 9932863000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/20 and 46\/55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*g + 3*g. Let k(v) be the first derivative of -1\/9*v**g + 1\/6*v**2 + 0*v - 1\/12*v**4 + 1\/15*v**5 + 2. Factor k(c).\nAnswer: c*(c - 1)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1702 and 2.14?\nAnswer: 1699.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, a: 6, e: 1, h: 2, v: 5}. Give prob of sequence evhn.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 2.365767.\nAnswer: 3.365767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 159 = 4*i - 805, 0 = -o + 3*i + 308. What is the greatest common divisor of o and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 2 (c) 1 (d) -14 (e) 0.001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5185 + 40?\nAnswer: -5145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19784?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 993 and 291.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/39546 and -113\/5070?\nAnswer: 197730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k - 34*k = -35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x**2 - 5*x**2 - x - 2*x as u + c*x**2 + h*x and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5188 - 5191. Which is smaller: v or 1813?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 93\/9 - ((-4)\/6)\/(-2). Solve 6*s = s + q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 2, -9, 237, 3 in decreasing order.\nAnswer: 237, 3, 2, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**3\/4 - 53233*b**2\/2 + 1277459*b\/4 - 585497\/2 = 0.\nAnswer: 1, 11, 106454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -18210 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/3)\/(-2 + 28\/12). Let p(s) be the third derivative of 4*s**2 + 0*s**3 - 1\/30*s**g + 0 + 0*s + 1\/180*s**6 + 1\/18*s**4. Let p(r) = 0. What is r?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 692512386*0.4.\nAnswer: 277004954.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 1. Let j(y) be the first derivative of 4*y**3\/3 - 4*y**2 - 3*y + 2428. Determine j(z) + 5*t(z).\nAnswer: -z**2 - 8*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29945842?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 277264851 to the power of 1\/3, to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwgwgggwg. What is prob of picking 3 g?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-116)*1439879\/2422?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, e: 10, p: 2, a: 2}. Give prob of sequence eaee.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -46, -220, -502, -886, -1366, -1936?\n\"Answer: z**3 - 60*z**2 - z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + sqrt(243) - ((4*sqrt(243)*-2)**2 - sqrt(243)).\nAnswer: -15555 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286\/10 - 50\/(-125)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**3 - 24*q**2 + 15*q + 9. Let u(c) = 2*c**3 - 16*c**2 + 10*c + 6. Let j(r) = -5*i(r) + 7*u(r). Let m = 1 + 6. What are the prime factors of j(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 202\/4 + (-5)\/(-10). Let p(q) = t*q**2 - 52*q**2 + 0*q + 4 + 6*q. Give p(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*13\/390*6\/(-30).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 + 41*j**2 - 226*j - 258. Give m(6).\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1386 * 0.0351\nAnswer: -48.6486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 10*k**3 - 2*k**2 - k + 4. Calculate t(2).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1050 and 100394?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23865967 is divided by 1636.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/2 + (-4)\/(-1). Let n be t + -13*(-3)\/3. Calculate the greatest common factor of n and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0217 - -0.6417. Sort 2, -1\/7, a, 0.5 in descending order.\nAnswer: 2, a, 0.5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 1 - 5. Let n be b - 0 - 0 - -22. Calculate the highest common divisor of n and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (-13 + 26)) + -6 + 1 + -3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**3\/3 + n**2\/2 - n - 488. Let u(g) = -2*g**3 - 2*g**2 - 4*g + 3. What is 3*d(s) + u(s)?\nAnswer: -2*s**3 + s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1040)\/(-364)*(-462)\/(-30)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4611 and 1769?\nAnswer: 281271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = x - 35 + 39, -3*g - 5*x = 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w + 1. Suppose -r + 4 - 13 = 4*s, 5*s + 21 = 2*r. Give u(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 2*y**7\/21 - 2*y**3\/3 + 17*y. What is the second derivative of w(x) wrt x?\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1344478, -1344475, -1344472?\n\"Answer: 3*y - 1344481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1266 + 2581. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/30*-10*2\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 12:53 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*l = -286*l - 880 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 992, 2467, 4420, 6851, 9760, 13147?\n\"Answer: 239*q**2 + 758*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 3, c: 1, x: 6, u: 1, k: 4}. What is prob of picking 1 c and 1 t?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 100, 119?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 201 = -4*u, 5*u = -2*j - 5*j + 261. Suppose p = -0*p - 4*t + 34, -5*p + 5*t = -70. What is the least common multiple of p and u?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -715*s**2. Let c(f) = 2*f. Determine c(t(w)).\nAnswer: -1430*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -k - 64 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*n - 24, n = y + 2*y - 3. Let w = 6 - 3. Suppose 8 = 5*i + m, 2*i + 3 + 3 = -5*m. Solve n = -5*c + z, -z = i*c - w*z - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 9. What is the lowest common multiple of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 420 + -503. Which is bigger: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 61774792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 14*z = -18*z + 45347, 0 = 2*m - 4*z - 90742. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 135 + 5. Suppose -v = -5*r + 3*i, -i + 2 = -2*r + 13. Find the first derivative of 5 + 6*y**3 + 1 - r + 3 wrt y.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from {g: 2, h: 3, e: 1, q: 3, w: 7, t: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + 463. List the prime factors of f.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -2\/195 (c) -2 (d) 1670\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -598085 and 0.014.\nAnswer: -598084.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4*4\/5)\/(20\/(-550))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*h**4 - 2896*h**3 + 12*h + 27001116 wrt h.\nAnswer: -24*h**3 - 8688*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1. Let o(s) = -2*s + 1. Let p(i) = 2*f(i) - o(i). What is p(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*t + 4*s, -4*s + 5 + 7 = 0. Let j be -4*t\/(-12)*1. Solve 0*c = -j*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5\/3 - m**4\/3 + 8*m**3 - 40*m**2\/3 - 16*m\/3 + 16.\nAnswer: -(m - 2)**3*(m + 1)*(m + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - (-13 + 45 - 63).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4652 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 take away 7165498918092?\nAnswer: -7165498917961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 21*k**3 - 25*k**2 - 8*k + 19. Determine i(4).\nAnswer: 931","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - 0.29. Let n = 2.46 + y. What is n rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63066854753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5264 - 1?\nAnswer: -5265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(-3*sqrt(10)) + (-3*sqrt(637))**2.\nAnswer: -sqrt(13)\/3 + 5733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a + 7389 = 3*y, a + 2*y = 2467. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 11. Let o be (5 - 1) + -2 + -7. Which is the nearest to 1? (a) -3 (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 27. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 47485792\/15101460 + (-3 + 6 - 8). Let s = 1\/167794 - l. Find the common denominator of s and 7\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.35 (b) -1 (c) 6 (d) -4 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 + -0.4. Let t = 0.15 - -0.05. Let j = t + -5.2. Which is the third biggest value? (a) -3 (b) g (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6453010 divided by 14\nAnswer: -3226505\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 10*c)*(-120*c + 34*c - 41*c) as d + a*c + q*c**2 and give q.\nAnswer: 1270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 19 - 2. Suppose 4*t - 2*t = 0. Suppose -x - l = 1 - t, 0 = 3*x + 4*l + y. Solve q - 5*d = -2, 2*d = 5 - x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634.46 seconds in microseconds?\nAnswer: 1634460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 18151\/11 and 1649 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.2 (c) 28 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 1198239?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-35 - 5) + (32 - 44)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -4 (c) -0.2 (d) -263\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6501)\/(-59829) - 12\/444)\/(3\/((-21)\/(-26)))?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7) - (-18)\/14. Suppose 3*a - 34 = -4*g + 2*a, 2*g = -2*a + 14. Calculate the lowest common multiple of o - 0*(-3)\/9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 123802920 to the nearest 100000.\nAnswer: 123800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f - 1. Let s(x) = 3 + 4 + 6 - 3 - 6 - 20*x. Give -7*k(a) - 2*s(a).\nAnswer: -9*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 44\/5 of a centimeter?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26307 is divided by 8251.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2 + 8*w - 8. Let o be l(2). Let y(i) = 15*i**3 - 24*i**2 + 24. Let j(p) = -3*p**3 + 5*p**2 - 5. Determine o*j(u) + 5*y(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h - 20. Calculate q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-12))\/((-2)\/(-9)). Let j = -53\/35 - -9\/5. Which is the nearest to 1? (a) 0.3 (b) n (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1107*b - 382. Let o(l) = l - 12. Let j(x) = -g(x) - 4*o(x). What is the first derivative of j(q) wrt q?\nAnswer: 1103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240153487 and 78575?\nAnswer: 3143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -18275*h + 17218. Give f(1).\nAnswer: -1057","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 16. Let k = -8 - s. Let i = -25.1 - k. Which is the third smallest value? (a) i (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*i - 16 = 6, -3*g = -3*i - 6. Solve -1 = -3*s + 2*j, -g*s + 9*s = j + 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34.4 - -37.7. Let x = t + -2.9. Suppose -4 - 6 = -2*k. Sort x, 1, k, 0.\nAnswer: 0, x, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 12038?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 4*q**2 + q - 1. Suppose 3*z - 149 = -14. Let s = z + -43. Does 3 divide b(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (138 + 0)\/3 - 2. Calculate the common denominator of (-37)\/11 + 8\/h and -34.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = -26*h - 6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4 = -4*w, -4*w + f - 5*f = 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-4))\/(23471\/(-11732) - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**4 + 368*m**3 - 2*m**2 + 1070*m + 3.\nAnswer: 12*m**2 + 2208*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**2 - 4 + 4. Let v be (15 + -5)*2\/4. Let g(w) = 7*w**2 - 5*w. Let r(j) = 4*j**2 - 3*j. Let q(n) = v*r(n) - 3*g(n). Give q(d(l)).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 7\/34, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5190.57 + -0.1\nAnswer: 5190.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -37*k**7\/420 - 121*k**4\/24 + 43*k**3 + 196*k**2. Let z(v) be the first derivative of f(v). Differentiate z(s) wrt s.\nAnswer: -222*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 76*t**2 - 8. Let o be -1 - ((8 - -20)\/(-14) + -75). Give g(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 255 - 248. Solve 3 + j = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 522881*h**4 - 7*h**2 + 15736*h.\nAnswer: 12549144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 8. Suppose -3*j + 117 = -3*o, -j - 2*o + 48 = -i*o. What is the remainder when j is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2220198 + 0.4246241.\nAnswer: -2220197.5753759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 72 + 78 = 0. Let m = i + -30. Solve u + u + 2 = m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*w = -4745 - 2170 - 1080 - 2016 for w.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2 - 1692*b - 1694 = 0. Calculate b.\nAnswer: -1, 847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3059272 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/3)*f*f**6)\/((((f**(9\/2)\/f)\/f)\/f)\/(f**(-2\/7)\/f)) assuming f is positive.\nAnswer: f**(205\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0)*3 + 7\/(-3). Let k = -521 + 514. Which is the closest to x? (a) 2 (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1882)\/(-934) - (0 + 2). Let s = 1202464861691\/242188805860 - 18\/129651395. Let k = s - x. Find the common denominator of 7\/12 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 13*r - 7. Let x be j(-12). Let y(l) = 2*l - 2. Give y(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2261, -8847, -19815, -35159, -54873, -78951?\n\"Answer: v**3 - 2197*v**2 - 2*v - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -449.62 + 453.62. Let n be 4\/14 - (-34)\/28. Which is the closest to s? (a) 1 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13546474.\nAnswer: 2, 6773237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 11*a + 5. Let b be n(-11). Suppose -b*z = -4*z - 25. Suppose u = -4*u + z. Solve -3*r + 22 = -0*r - 2*p, 4*r - u*p - 41 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i. Let u(r) = -3*r + 4. Let p(g) = 5*h(g) + u(g). Let b be p(-1). Let j = -86 - -260\/3. Is j equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 2054664?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7*u**2 + u. Let k be c(1). Let s(g) be the third derivative of -g**5\/60 - g**4\/3 - 7*g**3\/6 + 2*g**2. Is s(k) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.049 + 1.049. Are -7 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2168 - -324. Suppose 0 = 2497*u - d*u - 20. Solve u = -51*w + 47*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*y + 14. Suppose 0*h - 63 = -y*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 - 1 - (4 + 1 + (-23 + 15 - -11)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 122 - 84?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 7 (c) 2 (d) -1\/3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/7 + (-48)\/21. Let v(l) = 7*l - 2. Let x(g) = -35*g + 11. Determine y*x(u) - 11*v(u).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -254200760?\nAnswer: -254200754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2. Suppose 20 = 4*l - 0*l. Let a(w) = 2*w**2. Give l*a(x) + 4*u(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -9*z**2 + 3*z - 37. What is d(0)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**(-4\/5)\/u))\/u)\/u*u*u)**15\/(u\/(u*u*u**3*u))**13 assuming u is positive.\nAnswer: u**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*g - g + 605 - 701. Put 3, g, -264 in descending order.\nAnswer: g, 3, -264","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 271. List the prime factors of k.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 40*r + 344. Does 16 divide v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 11:21 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1365094247?\nAnswer: 11, 67, 317, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -253\/375 + 1\/125. What is the biggest value in q, -3, 1\/7, 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(2299) + (sqrt(19) + (sqrt(19) - (1 + sqrt(19))))*5 + (-1 + sqrt(2736) + sqrt(2736))*-2))**2.\nAnswer: 9750*sqrt(19) + 2007100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 + 0*h**4 + h**4 + (0 + 2*h**2 + 0)*(2*h**2 - h**2 - 2*h**2) + 1 + h**3 - 29*h**4 + 26*h**4 - h**2 - 4*h**3.\nAnswer: -6*h**4 - 3*h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -287.74627 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1020430*w**2 + 755855.\nAnswer: 2040860*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50269*m**2 + 16751*m**2 + 16744*m**2 + 16755*m**2.\nAnswer: -19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 7 = 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 180*s - 5. Let h(b) = -11*b**2 - 3*b - 9. Let p(i) = -36*i**2 - 10*i - 30. Let v(a) = -10*h(a) + 3*p(a). What is v(d(y))?\nAnswer: 64800*y**2 - 3600*y + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by -3 + ((-630)\/28)\/((-1)\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137022?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 + 14731078*m - 14731078*m + 3*m**2 - 14 to the form b*m**3 + t*m + j*m**2 + a and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -119367642?\nAnswer: 119367644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-28)\/12 + 3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from risnrsisviniifr. Give prob of sequence ssr.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 5*j + 6 = -11*y, 5*y - j = 8. Solve 15 = -y*p + i, p + 8*i = 11*i - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2)*(-14)\/(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5272745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3002 = -c - 0*c + o, 5*c - o + 15002 = 0. Round c to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2, -42 in increasing order.\nAnswer: -42, -3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4483 + 4744. Calculate the greatest common divisor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**3 - 6*z**2 - 5*z - 2. Suppose 2*k + 0*k - 10 = 0. Let l(h) = h**3 - h**2 - h - 1. Determine k*l(p) - s(p).\nAnswer: p**3 + p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -0.0885?\nAnswer: 0.0115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a = -67 + 16 + 26. Solve 0 = -f + x + 2, 2*f + x = 4*f - a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((13332\/1919)\/11)\/((-2)\/247).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 44, -4, -1 in decreasing order.\nAnswer: 44, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10011111001111 (base 2) to base 4\nAnswer: 2133033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 342*d**2 + 1694*d - 69. Determine u(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*m + 10, 3*n - m - 4*m - 6 = 0. Suppose -n*y + 5*u + 26 = 0, -4*y + 32 = -0*y - 5*u. Solve -y*v = 3*d, -5*v = -4*d - d + 50 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3 - 333897*c**2 + 1669504*c - 2003412 = 0 for c.\nAnswer: -333902, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y + 5. Let m(z) = -3*z - 4. Suppose -p = 6*p. Suppose -5*h - 4 + 24 = p. Give h*u(l) + 5*m(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -57 and 0.3?\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*b - 17, 3*n - 4*b = n - 4. Let s be (-1)\/((n\/(-6))\/(-2)). What is the second derivative of -o - s + 3 + o**5 wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 16.761, 10\/7 in increasing order.\nAnswer: -5, 10\/7, 16.761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -29*o. Let c(z) be the third derivative of -3*z**5\/5 + 2428*z**2 + z + 2. Calculate c(g(t)).\nAnswer: -30276*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*((-35)\/3)\/(14\/(-42)). Let n = z + -174. Solve 3*k - 14 = n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**4))\/b*b\/(b**(-4\/7)*b*b)*b**(-2\/9)\/(b**6\/b)*(b\/(b**(-1)\/b*b))**(-2\/83)*b**(-2\/15)\/b**(-1) assuming b is positive.\nAnswer: b**(-47906\/26145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 5. Let u(m) = -1 + 0 - 2 + 2. Let x(h) = h**2 + 5*h - 7. Let o be x(-6). Determine o*n(f) - 5*u(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193099159 is divided by 108727.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 61 = 58. Let q be (s + -2)*10 + (5 - 4). Suppose 9*v + 238 = q*v. List the prime factors of v.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41900 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/763505 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -11.9400888315489.\nAnswer: -11.5400888315489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36\/169 in 30, -2\/3, 3, 2\/25, 1?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 g when four letters picked without replacement from vvvvvvvvvvvg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) + 1 + 3.\nAnswer: 4 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35100 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: Sort 1, -16, 5, 2, 1820 in increasing order.\nAnswer: -16, 1, 2, 5, 1820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 3*i + 0*i**3 + 10 + 1\/13*i**4 + 0*i**2 + 1\/195*i**6 + 7\/130*i**5. Factor m(o).\nAnswer: 2*o**2*(o + 1)*(o + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 826803 and 264?\nAnswer: 72758664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 534995*b**2 - 35203*b wrt b?\nAnswer: 1069990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-123)\/39 + 3\/2*(-211 - -213).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + h = -76, -59 = -2*m + h - 2*h. Suppose 0 = 21*v - m*v + 18. Put 1, 6, v in descending order.\nAnswer: 6, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2578, -2579, -2576, -2569, -2558, -2543, -2524?\nAnswer: -2501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.155 - -11.8. Let p = 0.128 - i. What is p rounded to two decimal places?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.45 * 0.40788.\nAnswer: -5.485986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*w = -15. Suppose 161 = w*t - 2*g - 71, 2*t - 84 = 3*g. Let h = -45 + t. Solve 5 = h*r - 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.48, -0.06, -0.1, 1\/2, -14?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 6)*(-173*g + 683*g - 364*g - 5*g + 0*g + 3*g + (1 + 1 + 0)*(-5*g + 0*g + 3*g)) as l + n*g and give n.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 5*d**8\/168 - 7*d**6\/60 + d**5\/30 + 2821*d**4\/24 - 472*d**2. Find the second derivative of j(f) wrt f.\nAnswer: 200*f**3 - 84*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**3 - 7*q**2 - q. Let g(n) = -n**3 - n**2. Let m(o) = 6*g(o) - y(o). Let h be m(-1). Is h greater than -2\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96.437+-1275.21\nAnswer: -1371.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 5*s = 9*d + 23, 0 = 5*d - 5*s + 5. Let v(m) = m + 3. Let r be v(0). What is the third derivative of -3*t**d + 3*t**3 + r*t**2 + 4*t**3 wrt t?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzme when four letters picked without replacement from {o: 2, z: 1, r: 2, e: 3, c: 1, m: 9}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-390)\/(-95) - (-4)\/(-38). Suppose -4*v = -13 - 3. Solve 22 = -k*i - s + v*s, 0 = -3*s + 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 + 2. Let v(d) = -d**2 + 1. Suppose -2*w = -b - 61, 0 = -2*b + 2*w - 132 + 12. Let g = 57 + b. Give g*p(o) + 3*v(o).\nAnswer: o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1331) - sqrt(110)\/(sqrt(20)\/sqrt(2)).\nAnswer: -34*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4730 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/10)\/(154\/33880*-110).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14245 (base 6) to base 16\nAnswer: -8d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*n + 4*f, 2*f = -5*n + 6*f + 29. Calculate the remainder when n is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91)*-1*1 + sqrt(91)*2*4)*3)\/((sqrt(14) + (sqrt(14) - (sqrt(126) - (sqrt(126) - 2*sqrt(126)))) + sqrt(14))\/(-1*sqrt(8) - sqrt(2))))**2 + 5.\nAnswer: 5738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -14 - (-10 + -6 - -4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 341155039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45.39 - 45.32. What is the closest to 1 in 8\/7, r, 2, -2?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.129 (b) 1\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 39720 = 5*w - 10*d, -3*d = 5*w - 66141. Calculate the greatest common factor of w and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3719245961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(288) + (sqrt(288) + sqrt(288) + 0 + sqrt(288))**2 - sqrt(288).\nAnswer: 2595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45598, 90321, 135044?\n\"Answer: 44723*h + 875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -756 and -61145\/81 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1508 (base 12) to base 6.\nAnswer: -15212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78885 is divided by 3427.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7\/5, 0.3, 15.5, 5 in decreasing order.\nAnswer: 15.5, 5, 7\/5, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*q = 76, 6*q - 2*q - 95 = -5*y. Let k be (-1)\/(-2)*(y + -19). Solve -4*x + k*x - 8 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 338 = -2*l, -v + 6*v - 572 = l. Let n(k) = v + 10*k**2 + k**2 - 116. Let s(m) = m. Determine s(n(y)).\nAnswer: 11*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j - 4*j - 2*j - j - 12*j - 26*j.\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/102 and -101\/6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + n + 288. Let j = n + -121. Round j to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116.9 - 116.351. Let g = l + 0.051. What is the nearest to g in 3, -5, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1038, 444, -542, -1920, -3690, -5852, -8406?\nAnswer: -11352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**4 + 0*f**4 - 5*f**4)*(3 - 5 + 4) + 2*f - 2*f**4 - 2*f + (4*f**2 - f**3 - 4*f**2)*(-4 + 4 - 2*f + (-2 + 4 - 1)*(-f - 9*f + 6*f) - 7 + 7 + 2*f).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 i when four letters picked without replacement from {i: 2, z: 2, l: 9}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 105737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r + 22. Suppose 6*j - j - 40 = 0. Let l = -3 + j. Solve 8 = l*k + s, r = 3*s + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109 + 124. Let f = 13 + -4. What is the remainder when z is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 8*b - 10. Let d be i(-10). Let z = d + 51. Which is smaller: 22 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q - q)*(-9*q - 24 + 24)*(-4*q**2 + 0*q**2 + 0*q**2).\nAnswer: -72*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 61\/3*n**3 - 34 - n + 5\/2*n**2. What is the second derivative of c(u) wrt u?\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16180 - 1?\nAnswer: -16181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -220 + 222. Let p(y) = -25*y + 128. Let r be p(5). Solve 4*z = -3*i + i - u, z - 3*i = r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1209 + -206. Suppose -46*w = -47*w + g. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 5. Suppose -3*n - 35*c = -37*c - 97, 0 = -3*c + 12. Suppose -20*k - n = -27*k. Let y(j) = -j + 2. Give k*y(h) + 3*q(h).\nAnswer: -2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 5*h**2 + h + 5. Let s be t(-5). Let n = -15 - -18. Let w be (1\/n - s)*-6. Put w, 0, 1 in descending order.\nAnswer: 1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.23 - -11.77. Let u = 0.232 - 0.432. Which is the smallest value? (a) j (b) 2\/3 (c) u (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = -9*c + 52 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/548 and 73\/112?\nAnswer: 15344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 153608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 34 (b) 41 (c) -0.5 (d) 0.45 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 - 69*t - 826. Calculate x(-11).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0592 + 3.0592. Let s be ((-2 - -2) + -1)*45. Let u be 3\/s*(-2 + 0). What is the smallest value in u, -2\/11, l?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57341 + 123868. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 5*y - 2*y)*(y + 0*y - 3*y)*(4*y + 13*y - 8*y)*(54*y - 26*y + 49*y).\nAnswer: 1386*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 81274*z. Let c(y) = 226*y**2. Calculate c(m(g)).\nAnswer: 1492834655176*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106.5 - 85. Let t = 22 - s. Sort -1, -2\/11, t in increasing order.\nAnswer: -1, -2\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 - 51. Solve 3*o - 20 = z*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13689?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-270)\/(-60)*(-1)\/3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert aace (base 15) to base 7.\nAnswer: 210344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174671437, 174671436, 174671435, 174671434, 174671433?\nAnswer: 174671432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8*z + 22 = 5*a, 0 = 2*a - 2*z - 10. Let n be a\/(0 + (-3)\/(-12)). Let d be (-17 + -2 + 3)\/(-1). Calculate the highest common divisor of n and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2\/5, 0.1231.\nAnswer: 0.1231, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1*-4780.\nAnswer: -10038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 3*d - 5. Let y be n(-5). Suppose -3*u + 1 + y = 0. Suppose 27 + 1 = u*l. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0574857 rounded to 4 dps?\nAnswer: 0.0575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3*1)\/(9516\/396 - 24) is divided by 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7436*y**3 - 2552*y**2 - 440*y - 110. Let z(v) = 201*v**3 - 69*v**2 - 12*v - 3. Let k(i) = 6*p(i) - 220*z(i). Find the third derivative of k(h) wrt h.\nAnswer: 2376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*n = -196 - 225 + 13 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 508396988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 + 187 = -14*a. What are the prime factors of (a\/((-608)\/(-3864)))\/((-3)\/8)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -1\/5 (c) -5 (d) 3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 4:41 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 293 = -134*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 81? (a) 2 (b) 87 (c) 1\/8 (d) -21\/22 (e) 5\/4 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -23. Which is the nearest to 0.1? (a) -1 (b) 1\/6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14200)\/1425 + (4 - (-18 - -12))?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 569 + -571. Sort 9, 4, v in descending order.\nAnswer: 9, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1 + 598*w - 300*w - 299*w. Let m(d) = 29*d**2 - 14*d**2 - 5 - 4 - 7*d - 18*d**2 + 16*d. Calculate 4*m(l) + 36*v(l).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 10197.28?\nAnswer: -10200.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(sqrt(1900) + -3*-1*sqrt(1900) - sqrt(1900)).\nAnswer: 1 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by -150.\nAnswer: 21\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/(t*t\/(t*(t**(-1\/14)*t)\/t)*t)*t*t)\/t)\/t)\/t*t*t**(2\/49) assuming t is positive.\nAnswer: t**(-3\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11830823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-33))\/(324\/198)*-27.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/2 - 11*x**4\/2 - 7*x**3\/2 + 35*x**2\/2 + 26*x + 10 = 0. Calculate x.\nAnswer: -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -516591*j**3 + 938*j**2 - 4*j + 63701624.\nAnswer: -3099546*j + 1876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -146288, -292624, -438960, -585296, -731632?\n\"Answer: -146336*h + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -6*b**2\/11 - 9579726*b\/11 = 0.\nAnswer: -1596621, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h. Suppose -3*l - 12 = -9. Let x(v) = 5*v**2. Let j be x(l). Let y(t) = 9*t - 1. Give j*a(n) - 2*y(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 281*b**2*f**2 - b**2*f - 93*b + 7*f**2 wrt b.\nAnswer: 562*f**2 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2590 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 911.\nAnswer: -911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2849281\/3 or 949760?\nAnswer: 2849281\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27784 is divided by 1422?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aa42 (base 13) to base 6.\nAnswer: -301442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 0.034080663, 6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96079879?\nAnswer: 7, 79, 173743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 + -79. Solve 0 = -w + 2*n + h, -5*w = -5*n + 2 - 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - q + 2*w = -24, 0 = 5*q + 3*w - 19. Let v(o) = -o**2 + 2*o + 21. What is the units digit of v(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g = -65239 - 108641. What are the prime factors of g?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*p + 340*p - 218*p + 2670*p + 1677*p.\nAnswer: 4433*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*x + 65*x = 26866. What are the prime factors of x?\nAnswer: 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4333*d = 4334*d + 2*n - 4, 0 = 2*n - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 171 + 3. Let g = c - -93. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 66, 59, 46, 27, 2, -29, -66?\n\"Answer: -3*s**2 + 2*s + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1122182.1199989 + 1122182. Let d = 403 - 403.12. Let m = b - d. What is m rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 80047144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 17*s**4\/18 - 98*s**3\/27 + 28*s**2\/9 + 8*s\/9 - 100. Determine c so that u(c) = 0.\nAnswer: -2\/17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91 - 11*c**2 - 91)*(-4 + 3*c**3 + 4) + (5*c**3 + 0*c**3 - 3*c**3)*(-2*c**2 - 5*c**2 + 3*c**2).\nAnswer: -41*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -15*p - 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/33*(14\/(-840))\/((-1)\/(-2))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/13 + 2945624*f\/13 + 1084587593672\/13.\nAnswer: 2*(f + 736406)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -25. Let g = 22 - q. Solve -n - g*n = 3*s, 0 = -2*s + 4*n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0794893667 rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 15509.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -2394?\nAnswer: 23a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1168\/(-280) - -4)\/(2364\/5910)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8749410535*j - 8*j**2 + 17*j**2 - 8749410535*j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -7.21. Round d to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 5 = f, -4*u - 5 = 5*f + 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8639*r**3 + 12*r**2 - 6. Let g(c) = -34558*c**3 + 50*c**2 - 25. Determine 6*g(y) - 25*s(y).\nAnswer: 8627*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 7572, 39, 2\/11 in ascending order.\nAnswer: 0.1, 2\/11, 39, 7572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 0.02438991?\nAnswer: 0.02438991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 230 - 228. Suppose -18*g - y*g + 5*g = 0. Solve -t = -3 - g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2166920 is divided by 309536?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**2 + 2*f + 2. Let m be n(-6). Let q be ((-6)\/10)\/((-4)\/m). Let y = -27 - q. Sort 0.3, -0.1, y in ascending order.\nAnswer: -0.1, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.6 + 9.679. Let h = 1193.079 + -1194. Let r = h - k. Which is the nearest to r? (a) -1 (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5182 and 1992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 102\/(36\/6)*-1. Let l(i) = -i**3 - 16*i**2 + 16*i - 11. Calculate l(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 3*h - h)*(-h - 4*h + 0*h)*(5 - 2 - 4).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**3\/4 + 9497*h**2\/4 + 5638250*h + 5635876 = 0.\nAnswer: -4748, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 6 = -5*y + 2, -3 = -y + 3*t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40306.50729 rounded to the nearest 10?\nAnswer: 40310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 301 + 26c?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-40))\/((21\/60)\/(3087\/2205))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -0.16. Let l = -2103 + 1239. Let y = 866 + l. Sort -1\/5, x, y in decreasing order.\nAnswer: y, x, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - -46) + -2 + -36?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*d + d + 2*d**3 + 0*d**3 - 5*d**3 - 2*d**3 + 5*d**3 + (5*d - 3*d + 0*d)*(-d**2 + 2*d - 2*d) as t*d**2 + j*d + i + p*d**3 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 16 = -1. Let n = 5 + -9. Let s be 4\/(-6)*18\/n. Solve -a*f + 8 = 4*g, -2*g - f = s*g - 21 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**5\/15 - 358*h**4\/3 - 69116*h**3\/5 - 1292492*h**2\/3 + 41470*h\/3 + 430950 = 0?\nAnswer: -765, -65, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*3*sqrt(2) + -5))**2.\nAnswer: 1440*sqrt(2) + 2992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2\/7, 258?\nAnswer: 258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82691, 165608, 248541, 331496, 414479, 497496?\nAnswer: 580553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = k - 7, -5*k - 2*v + 23 = -v. Let p be (-42)\/(-4) - 6\/k. Calculate the highest common divisor of p and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 699 and 601140.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 867240 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*q**5 - 8*q**5 + q**5 - 3*q**5 + 2*q**5 - 6*q**5 + (q - 2*q + 0*q)*(3 - 3 + 2*q**4).\nAnswer: -23*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3 + (0 + 1 - 2)*(0 + 3 - 2) + 0 + 4 + 1)*(-3 + 3 - 109678*k + 109805*k).\nAnswer: 127*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4 = 5*v, -3*l = -165*v + 161*v + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(153) + -3 - (sqrt(204)*-2*4)\/sqrt(12))**2.\nAnswer: -88*sqrt(17) + 2073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93650?\nAnswer: 2, 5, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1045 * 22\nAnswer: -22990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10030010 - -1?\nAnswer: -10030003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 524 - 519. Let l be ((-15)\/10)\/(60\/16). What is the closest to l in -0.3, 0, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.056 + 0.056. Let h be 47\/9 + 4\/(-18). What is the biggest value in h, b, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 11. Let k be f(8). What is the biggest value in k, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101201 (base 3) in base 2?\nAnswer: 100100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 - 2*s**4 - 2*s**3 + (-55*s - 62*s - 48*s)*(0*s**2 - s**2 + 2*s**2)*(0*s - 2*s + 0*s) + 2*s**4 + 3 - 3 + (2*s**3 + 0*s**2 + 0*s**2)*(2 + s - 2).\nAnswer: 332*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from {j: 3, g: 12}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 732018*g**2 + 596729*g**2 - 447842*g**2.\nAnswer: 880905*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -431, -864, -1297?\nAnswer: -1730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Let g(c) = -2*c**3 + c**3 + 5*c**u + 7*c + 7 + c**2. Let z be g(7). Solve -3*a + 7 = -4*m, m - z = -m + 5*a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 68 = -5*b + 2271*u - 2283*u, -61 = -5*b - 3*u for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -10*c - 3. Let q(s) = 9*s + 4. Suppose -n - 19 = -4*l - 0*l, -n - l = -1. What is n*q(y) - 4*t(y)?\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26694 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: In base 7, what is -14 + -346500653?\nAnswer: -346501000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrz when three letters picked without replacement from prrrrrrrrzrrrrrzrzrr?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by ((-124)\/31)\/(4\/(-31)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.563 * 0.5.\nAnswer: 8.7815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 1:13 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 27*u - 378. Let p be k(14). Let b(f) = f**3 + f**2 + f - 1. Let v be b(0). Let j = v - -6. Solve -j*o - 25 = -p*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*j**2*y**2*z**3 - 3*j**2*y**2 + 1004825*y**3*z**3 - 2*y**3*z**2 - 9026*y**3*z - 15*z**2 - 2 wrt z.\nAnswer: 30*j**2*y**2 + 6028950*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.717172 decades to years.\nAnswer: 7.17172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38821168 and 11312.\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -277 + 250. Is f at most -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y**3 - 2*y**2 - 43*y + 136. What is the hundreds digit of q(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 456 and 864918?\nAnswer: 3459672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 1:18 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.764269 days in milliseconds?\nAnswer: 325232841.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29281.\nAnswer: 7, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1067271 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1991 + -1965113\/987. Let w = 28319\/75012 + t. Calculate the common denominator of w and -101\/32.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3793*k + 3039*k - 532896 = 0 for k.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -4.7.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4 - 2. Let l = a + 20\/3. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 30?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9839533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27265, -54526, -81787, -109048?\nAnswer: -136309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 12) to base 11\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6*v + 149 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -7*c + 14, -34*c + 37*c - 5*j - 35 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/(-60)*(-5)\/(-6) and (124\/(-32) - -4) + (-3720)\/(-5440).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 - -357. Let j = -264 + v. Solve 5*b - j = s, -9 = -s - 3*b - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 x when four letters picked without replacement from {l: 7, x: 5}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsyybbsuyysy. Give prob of picking 2 y.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -493 - -492. Let z(j) = -199964*j + 36. Let x be z(i). What is x rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 2\/(-4)) + -4. Let h = 97 + -97. What is the nearest to h in 3\/7, m, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -340444032 (base 5) to base 10.\nAnswer: -1499892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*j**3 - 12*j**3 - 4*j**5 + 0 + 0 + 2*j**5 + (2*j**3 + 0*j**3 + 0*j**3)*(j**2 - 3*j**2 + 4*j**2) + 0*j**5 + 2*j**5 - 3*j**5 + j**5 + j**5 - 4*j**5.\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*g*i - 8*g*z - 12*g + 41*i*z - z wrt i.\nAnswer: 3*g + 41*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13898449?\nAnswer: 13898449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50169?\nAnswer: 3, 7, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6754.36 millennia to months.\nAnswer: 81052320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -164 or -163?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -619\nAnswer: -7428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1209 and -470282178.\nAnswer: -470280969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 9*x**2 - 5*x - 12. Let y be j(10). Suppose y = 2*p - p. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 487 divided by -455\nAnswer: -487\/455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**5\/110 - 4*u**3\/33 + 20*u. Factor l(s).\nAnswer: 2*s*(s - 2)*(s + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3320 (base 4) to base 14\nAnswer: -13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7611, 30428, 68461, 121710, 190175?\nAnswer: 273856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 5125452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 6:15 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - 0.4. Which is the closest to -1? (a) -4 (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4800 - 14651\/3. Suppose -148*g + 149*g = 83. Let d = o + g. Is d less than -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, -583, -2281, -4943, -8575?\nAnswer: -13183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1887 divided by 10\nAnswer: 1887\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -726589.9 + 726590. Let k be (-83)\/15 - (-1)\/3. Which is the closest to u? (a) -1\/7 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 599533675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -14. Let a = 12 + f. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1477 and 7596?\nAnswer: 53172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1342 = 5*d, 2*d - 357 = -4*t + 171. List the prime factors of d.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.006 + 0.394. Let f = -4841 + 4838. Put z, -2.1, 3\/5, f in ascending order.\nAnswer: f, -2.1, z, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -13, 5 in ascending order.\nAnswer: -13, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**11\/554400 + f**9\/100800 - f**5\/60 - 4*f**2. Let w(g) be the third derivative of d(g). Factor w(u).\nAnswer: -3*u**3*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 - -0.408644?\nAnswer: 0.538644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 + 2)*(-3 + 2 + 2) + 5 + 2 + 0 + (-2 + 2 - 3)*(5 + 10 + 9) + (-2 - 2 + 3)*(0 + 6 + 1))*(-3*m + m - m) to the form l*m + d and give l.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1040615104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2 + 402*y - 756. Calculate the remainder when j(-109) is divided by 148.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = 0, 2*c = 5*a + 7*c - 70. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 7 - 5)*(-2*f**2 - 3*f + 3*f) - 5*f + 13*f**2 - 5*f - 11*f**2 to the form m + l*f + g*f**2 and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636353 is divided by 5216.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -393, -402, -409, -414, -417, -418, -417?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1237a + -1?\nAnswer: -12380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -1\/25*f**5 - 1\/420*f**8 + 0*f**3 + 2\/175*f**7 + 0 - 3*f + 0*f**4 + 1\/150*f**6 + 6*f**2. Determine s so that j(s) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**3 - 4*v + 7*v**3 + v + 3*v**2. Let u be ((-105)\/60)\/((-1)\/(-4)). Let n(d) = 2*d - 11*d**3 + 3*d - 7*d**2 + 2*d. What is u*z(o) - 3*n(o)?\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 19*d + 22. Does 9 divide b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -231 (b) -2 (c) 1 (d) 49 (e) -8 (f) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = -2*i, -5*f - 5*i + 20 = 5. What is the second derivative of 2*w + 3*w**f - 8*w + 28*w wrt w?\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 3*y - 3. Let z(n) = 12*n**2 - 34*n + 34. Determine -68*b(q) - 6*z(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 0*x + x)*(-5 + 6 - 3)*(-26*x**2 + 109*x - 109*x) + (4*x**3 - 3*x**3 - 3*x**3)*(3 + 4 - 6) to y + t*x + g*x**3 + a*x**2 and give g.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, p: 3, t: 2}. What is prob of picking 2 p and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 99*u**2 - 54*u - 54. Let p(i) = 2*i - 7*i + 10*i - 90 - 9*i**2 + 95. Let j(s) = -54*p(s) - 5*x(s). Let g(b) = -4*b**2. What is g(j(d))?\nAnswer: -324*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80260752 by 41457.\nAnswer: 1936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**4)\/(g\/g**13)*(g\/(g*g**(1\/34)))\/((((g\/(g**(-8)\/g)*g)\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(33\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + (-4 - -32) + -38 + 11.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.019 * 177154.\nAnswer: -3365.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -154825 or -152936?\nAnswer: -152936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 41*v**2 - 71*v - 391. Is u(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*1*-5 - sqrt(272)) + -1 + sqrt(272) + -2.\nAnswer: -20*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 21*i**3 - 2*i**2 - 2*i - 1. Let m(c) = 62*c**3 - 7*c**2 - 7*c - 4. Determine -7*a(l) + 2*m(l).\nAnswer: -23*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1 = -y - 2, 0 = 2*y - t + 11. Let a = -7 + 16. Let o = y + a. Solve -o*q = -0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5528 by 7.\nAnswer: 5528\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3387843 + 1512?\nAnswer: 3400455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-17)\/g**(-2\/21) assuming g is positive.\nAnswer: g**(-355\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 413008*l**3 - 18*l**2 + 20*l - 1. Is j(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q - 2*q - 4*q)*(2*q - 4*q + q) + (-3 + 6 + 1)*(0*q + 0*q + 2*q**2) as f + m*q + s*q**2 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1052213*w**2 + 1316671?\nAnswer: 2104426*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 37, 46, 57, 70?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, -57, -204, -483, -936, -1605, -2532, -3759?\n\"Answer: -7*v**3 - 3*v**2 + v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*i + i - 11 = 0, -3*i - 3 = 0. Let h(p) = p**2 - 3*p + 1. What is h(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*k + 2, 2*f - k + 3*k + 4 = 0. Which is the second biggest value? (a) -0.11 (b) f (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 + 5 + -5 - (29 + -9)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(-4)\/o)\/o)\/o**(-7))\/(o*o\/((o**1*o*o)\/o))**5)\/(o*o**0*(o*o\/(o**(-14)\/o))\/o)**(-40) assuming o is positive.\nAnswer: o**682","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 20 = -14*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16669677 is divided by 4396.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1215)*1 + 4*sqrt(30)\/sqrt(2))\/((sqrt(80)*1 + sqrt(80))\/(sqrt(44)\/sqrt(99)))*3.\nAnswer: -3 + 13*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -3*y**6\/10 - 93*y**5\/20 - 29*y**4\/2 - 8*y**3 - 1926*y. Factor q(f).\nAnswer: -3*f*(f + 2)*(f + 8)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1564688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/918 and 145\/27132?\nAnswer: 244188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2 + 4*v - 32. Let t be y(-12). What are the prime factors of (1 + -2)\/(-1 + t\/(-658))?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24 - 84 + 28)*(2*s + 0*s - 4*s)*((2 + 0 + 0)*(s**2 + 2*s**2 - 4*s**2) - 6*s + 13*s + s**2 - 6*s) to j*s**3 + c*s**2 + d*s + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5.8+-1005.686\nAnswer: -999.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 4*d + 60. Suppose 0 = 3*o - 0*o - d. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5 + 14*z**4 - 41*z**3 - 126*z**2 + 288*z = 0. What is z?\nAnswer: -16, -3, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.039 and 4.\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 3744201?\nAnswer: -18721005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16*(2\/(-11))\/(-2) and 7\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -73 and 49.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -i**4\/42 + 26*i**3\/63 + 64*i**2\/21 + 136*i\/21 - 87. Suppose l(x) = 0. Calculate x.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245155.\nAnswer: 5, 49031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -20 + 17 + (15 - (28 + -9))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 30*w**2 - 27*w + 69. Let a be r(-29). Let m be 1\/(-3) - (a - (-192)\/(-36)). What is the third biggest value in -0.3, 6\/7, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) + (-1*sqrt(168) - sqrt(168)) + sqrt(168))\/sqrt(8))\/sqrt(3) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1415*c + 1401*c = 112 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158\/37542641 or 0?\nAnswer: -158\/37542641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 9*f + 4. Let x be u(9). Sort -5, -3, x, -4 in increasing order.\nAnswer: -5, -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 - 236?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 6664?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0229213 to four decimal places.\nAnswer: 0.0229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 284723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2045*y + 1157*y - 5321*y + (3 + 1 - 2)*(y + 2*y - y).\nAnswer: -2115*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 2:46 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111225103 (base 6) in base 2?\nAnswer: 111101110011111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, o: 3}. Give prob of sequence oo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/7182783 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 83 or 73?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - (2 + sqrt(288) + -4))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 718.\nAnswer: -2\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/566720 and -81\/1760?\nAnswer: 566720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 7 + 6. Let x be (-2)\/r + 112\/52. Let p(l) = 6*l**2 - 2*l**2 + 0*l**x - 2*l**2. Let n(j) = j**2. What is p(n(c))?\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*w - 114, 0 = -3*w + w - o + 110. Suppose -11 = 9*t - w. Put 20, t, -5 in decreasing order.\nAnswer: 20, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 10 = -4*y + 3*r, 5*r - 10 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwcw. Give prob of picking 2 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38541045*h**3*x**4 - 35*h**3 + 3*h**2 - 4706*h - 2 wrt x.\nAnswer: 154164180*h**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1204445.\nAnswer: 5, 11, 61, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccu when three letters picked without replacement from uccc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 308473 or 8?\nAnswer: 308473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -312*j**4*t + j**4 + 7*j*t + 78*j wrt j.\nAnswer: -3744*j**2*t + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 251097216?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 18*v - 256. What is the remainder when x(16) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulleueue. What is prob of picking 2 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-1)\/14)\/(14\/868)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a factor of 32424193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 5*l**2 - 9*l + 13. Let t be g(3). Suppose 0 = -d + 4*a + 9, -48 = -21*d + 17*d + t*a. Calculate the remainder when 47 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 11 = -0*a - 3*b, -2*a = 2*b - 12 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872 is divided by 244.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 10*b**6\/3 - 21*b**2\/2 - 5. What is the second derivative of p(t) wrt t?\nAnswer: 400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 83363?\nAnswer: -11\/83363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -2, -25, 17, 5 in descending order.\nAnswer: 41, 17, 5, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + r + (4*r + r - 4*r)*(-4 + 19 - 9) + 1 - 2*r - 1 + (-3*r - 3*r + 7*r)*(-2 + 2 - 1).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o - 87. Let c(a) = a + 29. Let f(y) = 11*c(y) + 4*d(y). Let t be f(11). Solve 0 = -t*b - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c**3 + 11*c**2 + 20*c - 5. Let p(x) = 2*x**3 - 2*x**2 - 4*x + 1. Calculate -11*p(o) - 2*q(o).\nAnswer: -2*o**3 + 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5301 - 10702 + 5271 - 3*n + 0*n to the form y*n + u and give u.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3936126.\nAnswer: 2, 3, 59, 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -a - 33. Let r(p) be the second derivative of -1\/15*p**a - 1\/4*p**4 + 2*p + 0 + 0*p**2 + 0*p**3 + 0*p**5. Find the third derivative of r(c) wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-2)*((-3)\/(-6))\/((-79)\/474)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + (-90)\/(-20))*-10. Let i(f) be the third derivative of -f**4\/8 - 7*f**3 + 3*f**2. Give i(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 68*x**2 - 31*x - 123. What is the thousands digit of r(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 5*o**2 + 2*o + 5. Let t be d(5). Let h = 9 - t. Let g(s) = -s - 5. Give g(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 162*p + 120.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.07, 3\/7, 4 in ascending order.\nAnswer: -0.4, 0.07, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 8 = 2*o, 2*o = 4*o - y - 8. Solve o*s = -3*l - 3, 0 = -2*l - s - 2*s - 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -15 - (10 - -13 - -15)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10133 (base 4) to base 14\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.73005 years in decades?\nAnswer: 0.973005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4554)\/528 - -4*(-7)\/(-224))*-2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -3*u**2\/2 + u + 2. Is h(-5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 - -1 - 121\/((-3751)\/186). Sort 566, 8, r in ascending order.\nAnswer: r, 8, 566","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -188, -427, -676, -941, -1228, -1543, -1892, -2281?\n\"Answer: -t**3 + t**2 - 235*t + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8*j - 9. Let p(r) = -r - 1. Let f(q) = g(q) - 6*p(q). Let d be f(-3). Solve -d*u + 5*l + 2 = -5*u, 2*u = 2*l + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 510\/119 + (-1)\/((-7)\/(-2)). Let k = 31163\/14 + -2225. Calculate the common denominator of 1218\/(-49)*(-7)\/c + -1 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 474399 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 551011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/5313 and 8\/10087.\nAnswer: 696003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/1368 and 19\/1658043.\nAnswer: 252022536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9718 - 9848 = 5*f for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147783464?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21206.99998676 + -21207. What is g rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87004368?\nAnswer: 2, 3, 11, 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 3:39 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1 - 1 = 0. Which is the third biggest value? (a) 1\/5 (b) -6 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-7)*j)**(-10)\/(((j\/(j*j**14))\/j)\/j**5))**(-12\/5) assuming j is positive.\nAnswer: j**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -531*c + 533*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -2*q**3 + 49. Let y(j) = -j**2. Calculate f(y(n)).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 3:15 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -589, -591, -593, -595, -597?\n\"Answer: -2*f - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.956821 rounded to 1 dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert d7 (base 16) to base 9.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/2 of a week?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00578389 rounded to 6 dps?\nAnswer: 0.005784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 482658 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 31 = -7. Let b(v) be the third derivative of v**4\/12 + 4*v**3\/3 - 11*v**2. Let n be b(f). Sort -5, n, -3 in increasing order.\nAnswer: -5, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 2 (c) 4677\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/2015444 and -133\/13836.\nAnswer: 6046332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/3*(768\/(-40))\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 0*z**2 + 9\/16*z**4 + 9\/20*z**5 - 3 + 0*z + 1\/8*z**6 + 1\/4*z**3. Solve j(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270 = 1070*z - 1154*z - 234 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 63089 = -63201 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31809, 31798, 31787, 31776, 31765, 31754?\nAnswer: 31743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6082*m - 170284. Give s(28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 - 100*x**3 - 185*x**2 - 90*x.\nAnswer: -5*x*(x + 1)**2*(x + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -251 + 267. Suppose 0 = x*m - 6*m - 70. What is the remainder when 12 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 2*h - 14, -2*j - 14*h + 10*h + 18 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**2 - 12*t - 6. Let c be v(7). Suppose 0 = c*y - 59*y + 412. What are the prime factors of y?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1\/3, 2\/21, 0.5, 0.02, -3.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -197 (b) 5\/132 (c) 2\/11 (d) 3\/2 (e) 3\/7 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 8:10 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 - (-87 + 9) - -58.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*p**3 + 231*p**3 - 116*p**3 + 8*p.\nAnswer: -7*p**3 + 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42945 and 23415.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-684)\/(-3 + 0). Suppose 0 = -0*q - 3*q + n. Is 25 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(0\/(-3) + -2). Let x be (g - -3)\/(-3)*3. What is the second biggest value in -1\/7, x, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15427c0 + -5?\nAnswer: -15427c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -321, -318, -315, -312, -309, -306?\n\"Answer: 3*s - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p - 103 = -535 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c. Let d(p) = -p**3 - 6*p**2 + p + 2. Let g be d(-6). Let z(i) = 5*i + 2. What is g*j(q) + z(q)?\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.425 + 1.469. Let t = -0.044 + g. Sort -2\/9, -1, t, -0.07 in decreasing order.\nAnswer: -0.07, -2\/9, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1664*d - 2180*d - 739*d to g*d + i and give g.\nAnswer: -4583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 9, -27, 3 in descending order.\nAnswer: 9, 5, 3, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -36. Suppose z*d = 832 + 598. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 0*h**2 + 2*h**3 + 2*h**3 + h + 0*h to the form q*h + x + f*h**3 + r*h**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - z - 1. Let s(v) = -97*v**3 + v**2 + 2*v + 2. Let r(a) = 2*i(a) + s(a). Calculate the remainder when r(-1) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10032 is divided by 35?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11\/6 + -7\/2. Let k = -0.4 + 0.9. Which is the closest to 1\/2? (a) -3\/2 (b) f (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -446170000 rounded to the nearest one million?\nAnswer: -446000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(-6) + 1\/3. Let y = -460 + 456. Put 1, -7, t, y in decreasing order.\nAnswer: t, 1, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 2*c**2 - 3*c. Suppose 10 = -4*g - g. Determine y(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*o + 10*o - 3*h, -4*o + 2*h = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/333 and 1\/57.\nAnswer: 6327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-81 - -3 - (-307 - -338))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k - 11. Let h(v) = 4*v - 149. Give h(q(d)).\nAnswer: 28*d - 193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*z - z - 5510192 = 0. What are the prime factors of z?\nAnswer: 2, 8009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158273937457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4992441 is divided by 1771.\nAnswer: 1763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 15) to base 13\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 368+-79804710.2\nAnswer: -79804342.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -134, -270, -406, -542?\n\"Answer: -136*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**3*l**(2\/3)\/l*(l\/((l*l**(-1\/3)*l*l)\/l*l))\/(l\/(l*l*(l*(l**(7\/5)*l)\/l)\/l*l)) assuming l is positive.\nAnswer: l**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12 + -1)\/(4\/(-8))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/40 + (-6)\/(-15).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 43. Solve 2*p + l = -5*u, -3*u + 3*p = -2*p - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:59 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 51*u**2 - 69*u + 345. List the prime factors of o(53).\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-4 + 4)) + (-27 - -30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28\/17 - 67\/51. Let h be (-5 + 6 + -2)\/((-2)\/4). Determine b, given that -2\/3 + b**3 + 4\/3*b**h - o*b = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 903418, 903416, 903412, 903406, 903398, 903388, 903376?\nAnswer: 903362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 3*g**2 - 3*g + 2. Let c be o(2). Let n = 28.6 - 29. Let x = n - 0.1. What is the closest to c in -5, x, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 5*d**2 - 5*d + 8. Suppose -24 = 7*t - 3*t. Let i be z(t). Solve 2*q - v + 1 = 0, -i*q - 4*v - 13 = -v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 + 1158*o**3 - 1148*o**3 + o - 2 - o**2 in the form k*o**3 + i*o**2 + y + q*o and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 4052208*k - 162085120.\nAnswer: -2*(k - 2026064)*(k - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439*o - 1416*o + 3*o**3 + 462*o + 457*o.\nAnswer: 3*o**3 - 58*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 938 - 939.4925. Let c = 1.5 + g. What is c rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 19\/6*a**3 + 0 + 28*a + 0*a**2. Let z(q) = 3*q**2. Determine z(n(w)).\nAnswer: 1083*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3947105 + 6627548. Let y = 2680443.9999965 - b. Let d = y + -1. What is d rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 5)*(4 - 4 + i**4) - 27*i + 23*i - 17*i**4 + 64 - 66 to c + a*i**2 + m*i**3 + d*i + o*i**4 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38311311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.2, 0.7644 in ascending order.\nAnswer: -0.2, 0.7644, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 12*j**2 - 3*j + 5. Let m be -2*(0 - (1 - 2)) - 8. Let g be 8\/m + 468\/(-65). Is s(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-195))\/((-4)\/(-10)). Sort -4, -0.3, a in descending order.\nAnswer: a, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9532064 to the power of 1\/2, to the nearest integer?\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-279 - 359 + 162)*(-2*d**2 - 2*d + 2*d)*(0*d + 3*d**2 + 0*d).\nAnswer: 2856*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283417163 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1939, -1938, -1937, -1936, -1935?\n\"Answer: o - 1940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 835 + -838. Is 678 - (o + -3 + 6)\/(-3) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*y - 10 = 142 + 192 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 34.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-10))\/(42\/(-15))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j**3 - 1 + 1 - 585*j**3 - 6*j.\nAnswer: -603*j**3 - 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -14. Let i(q) = q**3 - 3*q**2 + 3*q - 2. Let t be i(g). Let k = -1 + 0. Which is the second biggest value? (a) -2 (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 4*w**3\/3 - 2*w + 1. Let x(y) = -5*y**2 + 3. Suppose 16*b - 25 = 23. Determine b*h(m) + 2*x(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4378 and -6.4?\nAnswer: -2.80192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, -13441, 2, -5, 5 in descending order.\nAnswer: 6, 5, 4, 2, -5, -13441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18 + 1.5. Let o = -0.94 - -2.16. Let k = o - p. Is k bigger than -4.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190440 is divided by 205.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 0*t + t)*(-137 + 39 + 12) to w + u*t and give u.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20580 + -8820. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/95 and 3\/209.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38067671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 2*z + 9. What is l(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 20. Let t = 23 + y. Let b be 1\/(-3) + (-2)\/t. Put b, 0.2, 3\/8 in ascending order.\nAnswer: b, 0.2, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35002423 is divided by 996?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2207671*t - 11038366. Give i(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 11*s**3. Suppose 0 = -5*b + 10 + 15. Suppose 12 = -f - b*u - 12, -f + u = 0. Let g = -3 - f. What is y(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 5*s**3 + s**2\/2 - 9*s - 1. Is v(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 2:06 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/17 (b) -5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 184, 12264, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -4. Let d = 0.1 + 0. Which is the closest to i? (a) 1 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-5) + 308\/70. Suppose 5*d = d, -3*d = -r*p. Suppose 2*s - 7 + 1 = 0, -5*c + 3*s + 1 = p. Solve -2*t - 4*b + 22 = 0, t + 3*b - 8 = c*b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -217, -328?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5*8\/3)\/((-26)\/39). Is -1 + 3256\/d + 4\/20 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 565*m**4\/6 + 5*m**3 + m + 216. What is the second derivative of r(s) wrt s?\nAnswer: 2260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/6 - 3\/(-9). What are the prime factors of (2\/b)\/2*-19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -262 - -265. Which is the nearest to -2? (a) -3 (b) -0.16 (c) t (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95445734.\nAnswer: 2, 47722867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 + 90*x**2 - x - 16. Calculate y(-45).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*c**5 + 331*c + 719*c - 13*c**4 - c**3 + c**3 + 78*c**4 wrt c?\nAnswer: 240*c**3 + 780*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3422, 3303, 3182, 3059, 2934?\n\"Answer: -y**2 - 116*y + 3539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8517.229 seconds?\nAnswer: 8517229000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13103473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 665*f**2 + 3*f + 12. Let g(c) = 667*c**2 + 2*c + 8. Determine 3*g(q) - 2*v(q).\nAnswer: 671*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -4 + s**4 - 1\/3*s**3 - 1\/2*s**2 + s. What is the units digit of h(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11031 + -4134201?\nAnswer: -4123120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52911*-0.0053.\nAnswer: 280.4283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*o + 16. Suppose 5*x = k + 25, 4*x - 20 = -0*k + 3*k. Sort x, 1, o in descending order.\nAnswer: x, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 5*f - 4. Suppose 0 = 3*x - 8*x + 20. Let t be u(x). Suppose t = -2*l - 2*k + 50, 38 = 2*l - 0*k - k. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 948\/1580*4*(-3)\/9. What is the smallest value in d, -189, -7\/3, 3?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*u - 3*u - 966 = 0 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 - 1289*h + 109509. Determine i(76).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 + 5*b - 5. Is p(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 11*w = 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 540 and 1880.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15809040 divided by -6?\nAnswer: 2634840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2046 - 278259\/136. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 695.709189 and -0.0171.\nAnswer: 695.692089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 3 + 1 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2541 = -4*h, v = -3*h - 431 + 3021. What are the prime factors of v?\nAnswer: 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 3*m**3 - 133*m - 4 + 2.\nAnswer: -m**3 - 133*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -20*u**2 - 21*u - 3. Let c(j) = -126*j. Calculate r(c(x)).\nAnswer: -317520*x**2 + 2646*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 5*t = -m, m - 4*m = -4*t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68 and 311848.\nAnswer: 311848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.9 + -2.9. What is the closest to 0 in 2, 3\/5, l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 1462621 = 2*s. Let i = s + 739621. What is i rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-30)*214)\/(-2). Let m = -4429\/360 + 1\/360. Let v = m + l. What is the common denominator of 85\/18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 1. Let f = -2.1 - -1.5. Let u = l - f. What is the smallest value in u, -4\/7, 0.2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*p - 5*p + 0*p)*(5*p - 2*p + p) to a + q*p + x*p**2 and give x.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzzfzgfakgkmza. What is prob of picking 2 k?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 14*r - 19)*((-13 + 16*r**2 + 13)*(-5 + 1 + 0) + (3*r - 3*r + r**2)*(-1 - 3 + 6)) to the form w*r**2 + g*r + i*r**3 + z and give i.\nAnswer: 868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -0.3 (b) -3 (c) 0 (d) 2 (e) 15915\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 125872703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*p + 338, -4*u - 39 = p + 11. Let l = p - -332\/5. Put l, 0.2, 0.1 in decreasing order.\nAnswer: l, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.97 + -4. Let o = g - 0.57. Let d = o - -0.9. What is the third biggest value in -2, d, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11866483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 46, 126, 206, 286, 366, 446?\n\"Answer: 80*j - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 1. Suppose -5*o + 17 = 5*w - 3, 5*w - 12 = -3*o. Suppose 1 = b + o. Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**4\/24 + 5*u**3\/3 - 4*u**2. Let b be p(-8). Let r(h) = h**2 + 5*h**2 - 4*h**2 - 3*h**b. Let o(y) = 5*y. Give o(r(d)).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-1 + (1 - 1))*33. Let g = -79 - v. Differentiate -7 - 1 + g*h**3 + 5 + 12 with respect to h.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 7)*(-2*f + 4*f - 4*f)*(-215 + 2438 - 97 + 563).\nAnswer: -32268*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 9*26\/(-117).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxo when three letters picked without replacement from {i: 2, o: 7, x: 3, p: 5, r: 1, n: 2}.\nAnswer: 7\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 197\/3*l - 5\/3*l**2 + 40.\nAnswer: -(l - 40)*(5*l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -435584 divided by -13612\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-9)*((-63)\/6)\/(-7). Factor -3*y**2 + 0 - 9\/2*y**3 - w*y - 2*y**4.\nAnswer: -y*(y + 1)**2*(4*y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 341 + -344. What is the fourth smallest value in g, -1\/5, 4, -3\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -2 in increasing order.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 25 (c) -3 (d) 5.6 (e) 1\/7 (f) -9\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 109*s - 2946. Let w be z(-58). Solve 17 = -w*t + 17 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -164?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*g - 15 = 37, 5*g = -q + 31. Suppose -5 = k - q. Find the third derivative of -c + c - 102*c**5 + k*c**2 + 109*c**5 wrt c.\nAnswer: 420*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -47.93. Let j = -4.512 - -4.512. Let s = -3.97 - 0.03. Which is the closest to j? (a) s (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3511?\nAnswer: 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**6\/20 - 7*u**5\/60 + 8*u**2. What is the third derivative of b(t) wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -1. Let x = f + 1. Which is the biggest value? (a) -2 (b) -3\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5)\/(126\/27*(264\/(-55))\/(-8))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 67, -4, 0, 19, -3 in increasing order.\nAnswer: -4, -3, 0, 10, 19, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6608646 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/10 + 6\/(-5). Let u = -13.28 + 13. Let n = 0.22 - u. Which is the second smallest value? (a) x (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w + 6. Let h(c) = -97 + 56*c - 125 + 173. Let k(a) = 2*a - 2. Let z be k(-2). What is z*h(y) - 49*n(y)?\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 2041\nAnswer: 2041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2413.761um in kilometers?\nAnswer: 0.000002413761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 1216911728 and 3.\nAnswer: 1216911731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.75 and 0.1.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -2. Suppose 2*l = h - 6 + 1, -5*h = 4*l - 25. Suppose 3*r + r - 16 = l. Solve 2*v - r = g*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-2 - (-8 + -3) - 9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -2. Let q = -4.01 - -4. Let d = 0.39 - q. Which is the nearest to 0.2? (a) d (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (-3 + 17 + (-1 - 7)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 5*w - 2612. Let k = w - 232. List the prime factors of k.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**3 - 14*a**2 - 3012*a + 3024 = 0.\nAnswer: -36, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4567533?\nAnswer: 3, 1522511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201 + 410 - 32*o - 209.\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 111 = 31. Suppose t + 2 = 2*d. Let a(l) = -l**2 + 10*l - 4. Let x be a(d). Which is smaller: x or 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a + 4*a - 7 = -31 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 6:34 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 q, and 1 l when three letters picked without replacement from nvpqqllnllpqlqqnpn?\nAnswer: 25\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*v - 1132 - 841 + 681 = 0 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -18\/17, -121, 0?\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400154.\nAnswer: 2, 23, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 9:41 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 1. Let v(t) = 10*t + 115. Let c(o) = v(o) + 4*x(o). Is c(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 25118.\nAnswer: -25117.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, x: 2, o: 4, h: 2, q: 2}. What is prob of sequence qhxo?\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 3*c = 15, 10 = -5*v + 2*c - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 111\/4 (c) 10250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5734)\/(-732) - (-7)\/6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 311, 321, 285, 179, -21?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.12212 years?\nAnswer: 49.46544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -26\/35, 3, 1.6 in decreasing order.\nAnswer: 3, 1.6, -26\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, g: 6, r: 1, y: 3, b: 2}. Give prob of sequence brg.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82658 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/o**(1\/10)))\/o*o\/((((o*o**7)\/o)\/o)\/o)*(o\/(o\/(o\/((o\/o**7)\/o)*o)))\/(o*o*o\/(o**(-7)\/o)) assuming o is positive.\nAnswer: o**(-79\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16382202*j**3*k - 8*j**3 - 82*j**2 - 2*j + 72 wrt k?\nAnswer: -16382202*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7773665 divided by -34\nAnswer: -7773665\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 832, 863, 966, 1177, 1532, 2067, 2818, 3821?\nAnswer: 5112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v = 2. Let c = -3 + v. List the prime factors of (-10)\/((-5)\/(c\/(-2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5\/4, -1, 1\/8 in decreasing order.\nAnswer: 1\/8, -1, -5\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1316 - -5?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10 = -10. Let m(q) be the third derivative of 0 - 1\/12*q**z - 1\/60*q**5 - 1\/6*q**3 + 0*q + q**2. Factor m(u).\nAnswer: -(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 124 + -5214?\nAnswer: -5060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*j**2 - 7*j + 7*j - 39*j**2 + 8*j**2 + 5*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 7) in base 9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 r, and 1 g when three letters picked without replacement from {f: 2, g: 1, b: 1, r: 2, y: 1, c: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*b + 44*b = 1673*b + 24144 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/(-280))\/(8\/(-7))*(-192)\/(-48)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 2*d**5\/15 + 5*d**4\/12 + d**3\/3 - 7*d**2. Factor q(g).\nAnswer: 2*(g + 1)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -79 + -2?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(1\/6))**6\/(f**(-5)*f)**(-4) assuming f is positive.\nAnswer: f**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 13*x**3\/6 + x**2 - 5*x. Let l be r(1). Is l at least as big as 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/55 and -9\/305.\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -19. Let m(n) = -n**3 - 8*n**2 - 6*n. Give m(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 0 - 13\/30*w**6 + 0*w**2 + 3*w + 9\/20*w**5 + 5\/42*w**7 - 1\/3*w**3 + 1\/12*w**4. Solve c(h) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 2*p - 28, 0 = -m + 4*p + 33 - 44 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 551.9 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 3*j + 3*m - 1, 2*m = 2*j - 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24 + 18)\/(7\/3 - 3))\/(-1). Let m(p) = -5*p + 8. Let w(x) = 11*x - 17. Give c*m(h) - 4*w(h).\nAnswer: h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 72694 to the power of 1\/2, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 5:33 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 - 1715*n + 199781\/4.\nAnswer: -(n - 29)*(n + 6889)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1405067\/9 or 156119?\nAnswer: 1405067\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8643, -34582, -77817, -138348?\n\"Answer: -8648*x**2 + 5*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28367330*o**5 - 145614192*o?\nAnswer: 567346600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**6\/120 + y**5\/30 - 5*y**4\/24 - 5*y**3\/6 - 8*y**2. Let g be a(-3). Calculate the highest common divisor of g and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 38 = -4*l + 22, 68 = 4*l + 3*v. Suppose -39*r = -44*r + l. Put 1, -1, r, -6 in descending order.\nAnswer: r, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139433433.\nAnswer: 3, 46477811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 21 = 5*v, s = -2*s - 2*v. Let c = -8 + 11. Let j be c - (1 - 2)*-6. Sort s, 1, j.\nAnswer: j, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 28 + 18)*(0 - 2 + 1)*(-j - 2*j - 3*j).\nAnswer: 180*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 16*j = -34. Let i(y) = y**2. Let z(p) = 2*p**2. Let t(m) = 11*i(m) - 6*z(m). Give t(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-3 - (-2 + (8 - 6) - 0))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, d: 6, t: 1}. What is prob of sequence dd?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by 265?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q + 15*q - 6*q.\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 9. Solve i*v = 3 - 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -34?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 8.68236?\nAnswer: 9.68236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9762 + -6443. What are the prime factors of q?\nAnswer: 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v - 119. Calculate l(-17).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ffef.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8\/5 - -6\/5. Which is the nearest to l? (a) 1\/10 (b) -0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20222 + 101011121?\nAnswer: 101102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 6*d**2 + 7*d + 3. Let c be x(4). Let j = c - -6. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**3 + 209*z**2 - 2015*z + 4975 = 0.\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 12*m + 373. Let p be t(-30). Calculate the highest common factor of p and 949.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.571578 nanoseconds?\nAnswer: 0.000004571578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**4\/54 - 2*o**3\/27 - 15*o. Factor j(k).\nAnswer: -2*k*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000010111010 - 10000001111?\nAnswer: -110010011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/1381 - -2186156\/15191. Let d = -144 + q. Let v be (-2)\/11 + (-39)\/(-33). Are d and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -16, -2, -4, 0.074, -1\/2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -30. Let i = u + 118. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 24*s**2 + 108*s + 8. What is u(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4194 by -6.\nAnswer: -699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 555*t**2 + 2205*t + 224. Determine v(-551).\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2\/3 - 648950*w\/3 - 3244700\/3 = 0. Calculate w.\nAnswer: -324470, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.98 - -2. Let h = 1.98 + v. Let p = 10 - 10.3. Which is the third smallest value? (a) h (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*k + k. Let n be ((-12)\/8)\/(k\/(-4)). Suppose 32 = n*y + 2*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/45))\/a)\/(a*a\/(a**(-2\/11)*a)) assuming a is positive.\nAnswer: a**(-563\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 18 - (-1)\/((-12)\/34)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*p - 2*k = -288, 0 = -2*p - k + 192. List the prime factors of (p\/10)\/(3\/130).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 109 - (-124 + -8 - -121)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 + 1466*z**3 - 22440*z**2.\nAnswer: 2*z**2*(z - 15)*(z + 748)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19851.\nAnswer: 3, 13, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 23 - 611. Let m be (100000\/(-3))\/(7\/f). What is m rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 61*u + 29. Let l be o(30). Let k(f) = f. Let x(q) = -3*q**2 + 5*q. Determine l*x(w) + 5*k(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478205649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5\/8 + 5971*a**4\/8 + 8855183*a**3\/8 - 176612155*a**2\/8 - 1157133225*a = 0.\nAnswer: -2995, -24, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + -26 - -17) + -8?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*h = -u - 1, -3*h - 3 = 3*u. Let a = -220\/3 + 74. Sort a, h, -1\/4 in decreasing order.\nAnswer: a, h, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1066334, -4265393, -9597178, -17061683, -26658902, -38388829, -52251458?\nAnswer: -68246783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 154100906083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*1)\/(156\/156).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 - 163*k + 1228. Determine j(8).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 895709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*y**5 + 41*y**4 - 30*y**3 + 8*y**2 + 6675*y?\nAnswer: -900*y**2 + 984*y - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121 - 125. Let i(q) = q**2. Let g(p) = 0*p - 3*p**2 + 0*p**2 + 5*p + 4. Let r(h) = g(h) + 4*i(h). Give r(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 n, and 1 x when four letters picked without replacement from kknnknkxnn?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5109 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 509, 14, 316 in decreasing order.\nAnswer: 509, 316, 14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02125 to 3 dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**2. Let h(s) = -12*s. What is h(w(b))?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-8)*(-12)\/9. Let w be -1 - r\/((-54)\/(-15)). Is 1 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 5*z**2 + 45*z - 45.\nAnswer: -5*(z - 3)*(z - 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 9*u**2 + 200*u - 10. Let s(c) = 9*c**2 + 182*c - 9. Give 9*s(g) - 8*z(g).\nAnswer: 9*g**2 + 38*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2 + 58791792*f + 176375358 = 0 for f.\nAnswer: -29395893, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 582 - -598. Suppose t = 5*o + 5*o. Suppose -3*n + o = -2*n. What are the prime factors of n?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72416 and 30752.\nAnswer: 2244896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-11)\/(-10)*(-4290)\/2574)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7480 = -3*k + 21571. Suppose 9403 = -2*m - q, -q + 2*q - k = m. Round m to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*n + 575, -2*h - 2*n + 230 = -n. Suppose -4*s = -5*q - h, 0 = -5*q + 22 + 3. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105733089 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3421.722209 rounded to zero dps?\nAnswer: 3422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/4)\/(6\/4). What is the closest to 0.2 in 0.01, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**3\/2 - 4*o**2 + 10*o - 3. Let u(z) = -4*z - 8. Suppose 4*a - 15 = a. Let f(w) = a*v(w) - 4*u(w). Give f(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/14 and 121\/1014.\nAnswer: 7098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -111101001101?\nAnswer: -111101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -673946 divided by -673946.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 624a3 (base 11) to base 10\nAnswer: 91105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15546 divided by -324?\nAnswer: -2591\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2475949*h + 3 + 825316*h - 1 + 825317*h + 825321*h.\nAnswer: 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*t + 10*t + 8 = 0, 5*c + 5*t = -10. Suppose 0 = 2*g + x + 2*x + 35, 25 = -2*g - x. Put g, c, 5 in increasing order.\nAnswer: g, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = g - 36, 3*f - 7 = 3*g + 113. Suppose -2 = -4*h + f. Let x = h + -7. Solve -2*q + r = 12, -x*r + 33 = -5*q + r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 32. Let m = -0.34 - -0.04. Suppose 5 - 2 = 3*f. Which is the third biggest value? (a) s (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.3, -5, 24, 43, -3.\nAnswer: -5, -3, -0.3, 0.5, 24, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(95)\/sqrt(5) + sqrt(19))*-5.\nAnswer: -10*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 + 2*p + 3. Let i be 34\/3 - (-8)\/12. Suppose 7*l + i = 3*l. Let j = 0 - l. What is c(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 59 = 61. Let o(n) = n**2 - 3*n - 2. Let f be o(4). Suppose t = -5*s + 9, -3*j + f*s = -81. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/7 + 66*a**2\/7 + 288*a\/7 + 32 = 0. What is a?\nAnswer: -28, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 5 + 4)*(7 + 2 + 1)*(4 - 2 - 1)*(-3*v**3 + 3*v**3 - 2*v**3) to i*v**2 + u*v**3 + j*v + c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 675 and 139995.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157*-0.0681.\nAnswer: -10.6917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3*3\/(-45) + (-13311)\/(-45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 35, 84, 153, 242?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5.003 + -0.6\nAnswer: -5.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19534, -78144, -175828, -312586, -488418?\n\"Answer: -19537*s**2 + s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w**2 + 7*w - 7. Give s(4).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 504?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -326d7 (base 14) to base 3\nAnswer: -20012111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 14725, 0.4, -0.1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -276.2.\nAnswer: -1104.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*s + 9 = 0, -7*i + 3*i + 4*s + 84 = 0. Solve i*f - 14*f - 12 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/15*-7 + 2. Let x be (-40)\/(-3)*54\/45. Suppose 0 = -x*u - 2 - 14. Put -1\/5, u, 9, g in ascending order.\nAnswer: u, g, -1\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127153*i**2*s**3 + 2*i**2*s**2 + 1845853*i*s**3 wrt i?\nAnswer: -254306*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/34 - (-36)\/306. Let d be x\/(6 + -3 - 2). Suppose 23 - d = 2*j - 4*t, -3*j = 3*t - 42. Calculate the greatest common divisor of j and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, s: 2, w: 1, m: 1, d: 2}. What is prob of picking 1 s and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 17\/(-170) + 6\/40*16334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 3:22 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = 4*y - 73. Let g = -197 + 269. Let j = y + g. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27027*s**3*t**2 - 24*s**3*t + s**3 - 15*t wrt t.\nAnswer: 54054*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 59, 52, 43, 32, 19, 4, -13?\n\"Answer: -n**2 - 4*n + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/29)*a**(-6\/7))\/((a*a**(-16))\/a**14) assuming a is positive.\nAnswer: a**(5699\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(0 + (-40)\/(-6)). Let j = -4 + 10. Suppose 2*m - j*m + 8 = 0. Solve -m*q - h = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7) - 2*sqrt(7))**2 + (sqrt(42) + sqrt(168))\/sqrt(6).\nAnswer: -28 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 542, 551, 560, 569, 578?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004295 to 6 decimal places.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -431 + 431.3. What is the fourth biggest value in t, -2, -12\/5, 5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 2. Let m(b) = -6*b**3 + 8*b + 8. Determine -5*h(p) - m(p).\nAnswer: p**3 - 8*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 - 1)*(-3 - 1 + 3) - 8 + 4 - 1)*(5*f - 5*f + 6*f**4).\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/26)\/(1\/(2\/(-1)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 305*d**3 - 8*d**2 - 3. Let n(a) = 916*a**3 - 22*a**2 - 7. Give -4*n(x) + 11*y(x).\nAnswer: -309*x**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -2\/7, 0.4, -2\/17, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 0. Suppose 2*z + 2 = 3*i - 15, 4*z - 5*i + 29 = 0. Which is the closest to -2\/7? (a) k (b) z (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*n + 3 = -3, 2*n = g + 1. Suppose -4*f = -f + g, -c - 5*f = -13. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -4\/3 (b) 2\/13 (c) -3\/8 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3336982111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1245*h**3 - 11*h**2 - 2*h + 37. What is the units digit of p(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 5*m**3\/3 - 31*m**2\/2 - 2*m. Is z(13) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415 = 9*j + 13*j + 715 + 558 for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -6, 6, -212, -5 in decreasing order.\nAnswer: 6, 1, 0, -5, -6, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 4. Which is the biggest value? (a) 2\/3 (b) -0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 4, l: 1, o: 8}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i**2 + 13*i + 11. Let w(d) be the third derivative of -d**4\/24 + d**3\/6 - d**2. Let b(u) = 2*n(u) - 6*w(u). Determine s so that b(s) = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*l**2 - 14*l**2 + 25*l**2)*(-18 + 69 - 19) + 4 - 4 + l**2.\nAnswer: 2177*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.2 (b) -5 (c) -163 (d) -1\/142 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*v + 6*v = 126. Suppose -4*q + 51 = t, -v*q + 16 = -2*t - 2. Calculate the smallest common multiple of ((-80)\/(-6))\/(2\/12) and q.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 12:31 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28154270?\nAnswer: 2, 5, 2815427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22150 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 5*h + 75. Let b be f(10). Calculate the greatest common factor of 200 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -658, -668, -678, -688?\n\"Answer: -10*t - 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172 and 492.\nAnswer: 21156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (35\/21)\/(15\/36). Suppose -2*n + 7*n - 3455 = 5*w, -2760 = -r*n + 2*w. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/445046 and -155\/6972.\nAnswer: 2670276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000117 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 5*g**2 - 2*g - 3. Calculate q(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3420*x**2 + 5*x - 5. Let u be h(-3). Round u to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.59915 - -87.66215. Let b = h + -86. Let o = b - 0.06300085. Round o to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*u - b, 0 = -3*u + b + 2*b + 45. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 1. Let s be y(3). Suppose 3*x + 0*f = 3*f + 57, s*x + 5*f - 45 = 0. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 9*x - 10. Let y be s(-7). Let m(c) = -2*c - 6. Let v be m(-4). Which is smaller: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 8:18 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 4*d - 3*d)*(-1 + 0 - 3)*(-6 + 2 + 3) as w*d + a and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 24628835?\nAnswer: 98515340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 179051, 356239, 533427, 710615?\n\"Answer: 177188*o + 1863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a917 - -46?\nAnswer: -a8b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and -1.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 6*j - 4. Suppose 35*p = 9*p + 78. Determine h(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385233?\nAnswer: 3, 128411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*c - 204, 5*c + 4*a + 272 = 8*c. What are the prime factors of (-1)\/(-6) - (-49616)\/c?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o - 1. Let h be g(5). Is h bigger than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-2*d + d - d)*(8 + 8 - 9).\nAnswer: -42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 212 = -242. Suppose 4*g = 2*n + 294 - 1572, 1920 = 3*n - y*g. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-1 + 4) - -4. Let a be 1 + (-1)\/w + (8 - 10). Solve a - 10 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-5)\/((-60)\/(-4)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004703106721 rounded to 6 decimal places?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.5 - -18.5. Let x = 13 - l. Let u = 7 + x. Which is the nearest to 1\/3? (a) u (b) -2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*z - 46 = 0, 4*z + 65 = 2*g + 1. Suppose 2*h - 8*a + 3*a + 25 = 0, 0 = 5*h - a + g. What is the third biggest value in -0.1, h, -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {p: 5, m: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2116 and 30?\nAnswer: 31740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1128 and 81654040.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2) - 6\/4. Let w = 5 + 1. Let m be -2 + (75\/w)\/5. Which is bigger: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 548605 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14900*g = -5067*g - 5082*g - 5022*g - 17886 for g.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457884?\nAnswer: 2, 3, 7, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 78?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3.7 - -91234\nAnswer: 91230.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 908 + -950. Let s be (-1818)\/u - (4 + (-26)\/7). Which is greater: s or 42?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27548295 divided by -5509659.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -y - 100. Find the first derivative of -24 - 4 + 3*i**2 + y*i**2 wrt i.\nAnswer: 46*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 97 and 30167.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 (base 15) in base 16?\nAnswer: -2d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16512 and 2908416?\nAnswer: 125061888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 1034*v**2 + 195478*v + 10205. Determine x(-785).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1024*u - 144442. What is c(-141)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 4.79?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqqpqjt. What is prob of picking 1 j and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**8\/504 + g**7\/315 - g**6\/180 - g**5\/90 + 3*g**2\/2 + 2*g. Let t(y) be the first derivative of c(y). Factor t(v).\nAnswer: 2*v**2*(v - 1)*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 5426603\nAnswer: -23\/5426603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7*g*g\/(g\/(g*g**(1\/14)))*g**(3\/5)\/g*g*g*g**(1\/23))**3 assuming g is positive.\nAnswer: g**(51753\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13877.42995 - -13877. Let x = -0.47 - s. Let i = -0.038 - x. Round i to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5774864.999998 - 5774858. Let n = 7 - p. Round n to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -98*(((-484)\/40 - -12) + (-2)\/5). What is the greatest common factor of 17 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 1058*j - 7392. Determine a(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1132100 + -133?\nAnswer: 1131301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -242978128?\nAnswer: -48595625.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a18 - -11?\nAnswer: -4a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 910 and 707?\nAnswer: 91910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cb08 (base 13) to base 8.\nAnswer: -67107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2372222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -70. Put 1, 106, u in increasing order.\nAnswer: 1, u, 106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1332 - 27705?\nAnswer: -26353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/8 (b) -3\/7 (c) 1 (d) 2\/85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 4\/21 (c) 12\/65 (d) 1 (e) 0.5 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b - 5*b + 2*b + (1 + 0 + 1)*(b - 2*b + 2*b) + (-5 + 3 + 5)*(-b + 0*b + 0*b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) 1\/9 (b) -4 (c) -320 (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-14))**(-36)*p\/p**4*p**(-13) assuming p is positive.\nAnswer: p**488","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 586786275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 3*x. Let k be p(2). Solve -5*y - 9 = g - 3*g, -k*y + 6 = -4*g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**5\/3 - 4*x**4\/3 + 14*x**2\/3 - 17*x\/3 + 2 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 11 = 17. Suppose -37 - 2 = -d*f. Calculate the highest common factor of f and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -31. Solve a*t + 36 = -5*g + 4*t, -2*t + 16 = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.013 * 5.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6339.5 - 6339. Put 4, n, -0.01, 74 in ascending order.\nAnswer: -0.01, n, 4, 74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 4\/3, -1, 56?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**5\/270 - f**4\/6 - 5*f**3\/3 - 80*f**2. Factor y(m).\nAnswer: -2*(m + 3)*(m + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 4*h, -2*v - 6 = 3*h. Sort 5, v, 2, 0 in descending order.\nAnswer: 5, 2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/126 and -34\/49?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -460 - -475. Suppose 0 = c + 5*m - d, -4*c - 23 = -4*m - 11. Solve c = -11*l + 33 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 645.8012433 + -645.8. What is h rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -68, -72, -76, -80, -84, -88?\n\"Answer: -4*d - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -86*b**3 - 1950648*b**2 - 11061081438*b + 514473124.\nAnswer: -2*(b + 11341)**2*(43*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77190 rounded to the nearest 100?\nAnswer: 77200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -18*q. Let i be n(-1). List the prime factors of -2 + 3 + i + 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b**(-3\/11))*b)\/b*b**1)\/(((b**(-1\/2)\/b)\/b)\/b*b*b**(-1)*b))\/((b**(-1))**(1\/7)*((b*b*b**(1\/4))\/b)**33) assuming b is positive.\nAnswer: b**(-11499\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520 a factor of 2816261178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*t**3 + 122*t**3 - 156*t**3 - 70*t**3 + 144*t**3.\nAnswer: -19*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-12) - (-90)\/8. Calculate the common denominator of (801\/(-12))\/(18\/j) and (-1)\/(-2) - 85\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8034, -6042, -20118, -34194, -48270?\n\"Answer: -14076*a + 22110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342*t + 790*t + 1055*t**2 - 1052*t**2.\nAnswer: 3*t**2 + 1132*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3*a = 141 - 154 + 95, l + 9*a - 26 = 0 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((5*-1*sqrt(57) + sqrt(57) - sqrt(57))\/(1*sqrt(12)))**2)*5.\nAnswer: 2355\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13931, -55589, -124987, -222125, -347003, -499621, -679979?\n\"Answer: -13870*w**2 - 48*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4471935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 + 0 + 0)*(16 + 24 - 4*v - 51).\nAnswer: 4*v**5 + 11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -136 at most as big as -132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -249, -1034, -2333, -4140, -6449?\nAnswer: -9254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h - 14 = -29*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1362 = 2*s, -4*h + 2042 = -70*s + 73*s. Solve 0 = c + s - 686 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 920709, 1841416, 2762123, 3682830, 4603537?\n\"Answer: 920707*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 10. Let l be k(0). Let q = -32 - l. Let a = 59 - q. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -428 - 71. Let l = -496 - w. Put 2\/11, 2\/209, l in decreasing order.\nAnswer: l, 2\/11, 2\/209","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 28*u + 19. Let k be j(-5). Let z = -100 - k. Calculate the remainder when 57 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47.634 and 0.7.\nAnswer: 33.3438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 17 = 4*s + 24, 21 = d - 4*s. Solve -o + d = 2*k, o = k + 2*o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**3 - 4*q**3 + 2*q**3 + (-1942*q**2 + 3 - 1 + 1932*q**2 + (-2 + 2 + 2)*(-q**2 - q**2 + q**2) + 2*q**2 + 3*q**2 - q**2)*(0*q + 8*q + 0*q).\nAnswer: -65*q**3 + 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -125*b**3 - 22735*b**2 + 1140032*b + 91348 = 0. What is b?\nAnswer: -1114\/5, -2\/25, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.9 + 1.6. Let y = 3.5 + -0.5. Sort i, y, 0.2 in descending order.\nAnswer: y, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 16)*(-1)\/(-3). Suppose 3 = -3*d + 3*i, 0*d - s = -3*d - i. What is the remainder when d is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -19, -20, -21?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p - 1094*p - 1205*p - 899*p.\nAnswer: -3214*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.486 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 555284 and -0.2?\nAnswer: -111056.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 - 4) + 86 + -88 - -39\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4972011 divided by 50.\nAnswer: 4972011\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 5*o - 31. Calculate m(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 90380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145 (base 6) to base 5.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 275 + -255. Calculate the highest common divisor of n and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -173*z**5\/20 + 77*z**4\/6 - 612*z**2. Find the second derivative of w(q) wrt q.\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) -4 (c) -0.1 (d) 12 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/5 (b) -2\/7 (c) 0.03 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -35*r**3\/6 + 15056*r. Let x(i) = -40*i**2 - i. Determine x(z(b)).\nAnswer: -49000*b**2 + 35*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(441) - (sqrt(441) + (sqrt(441) + -1*sqrt(441) + sqrt(441) - sqrt(441)) - sqrt(441) - sqrt(441)))*-6)\/sqrt(7))*-5.\nAnswer: -25 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 99, 132, 207, 336, 531, 804, 1167, 1632?\n\"Answer: 2*i**3 + 9*i**2 - 8*i + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.1 - 3. Let f = 46 + -784\/17. What is the closest to -0.1 in y, f, -2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 5*q + 5. Let f(u) = 3*u**2 + 6*u + 6. Calculate 3*f(g) - 4*y(g).\nAnswer: g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -1 + 0*k**6 + 0*k + 19*k**2 + 0*k**4 + 0*k**5 - 25\/6*k**3 - 1\/15*k**7. What is the first derivative of q(v) wrt v?\nAnswer: -56*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 31687216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 1:51 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b**13*b*b)\/b)*b*b**(4\/3) assuming b is positive.\nAnswer: b**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 3080?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14004874.\nAnswer: 2, 13, 538649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 496 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 7*f = 80. Suppose r + 3 = 2*r. Suppose 0 = -r*u + 2*v + 52, 5*u - 64 = 2*u - v. Calculate the least common multiple of f and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 615102048 and 1858.\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 26. What is the least common multiple of 4 - (f - 2) - -13 and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 148, 405, 660, 913, 1164?\n\"Answer: -q**2 + 260*q - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -92468, -185172, -277874, -370574, -463272, -555968, -648662?\n\"Answer: k**2 - 92707*k + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 7*w + 26. What is m(9)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 206, 608, 1210, 2012, 3014, 4216, 5618?\n\"Answer: 100*q**2 + 102*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/10 - (-6496)\/70?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -185842.51 + 180402. Let k = b - -5469. Let s = k - 26.2. Round s to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 33*y**2 + 136*y - 19. Calculate v(29).\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 23*c + 11. Let j(a) = -a**3 + 12*a - 6. Let q(x) = -11*j(x) - 6*z(x). Find the second derivative of q(y) wrt y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 132, -4, -10, -200, -8.\nAnswer: -200, -10, -8, -4, -2, 1, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51984259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 189, -4, -1, 2 in decreasing order.\nAnswer: 189, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 7*y**2 + y + 7. Let i(b) = -b**2 + 13*b + 11. Let a be i(11). Suppose 3*m = -0*m - 5*c + a, 0 = -2*c + 6. What is the tens digit of w(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 3*r**2 + r - 3. Suppose -2*z + 7 = -5*t, 4*z - 5*t + 2*t + 7 = 0. What is i(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*c = -124*c + 44*c + 93840. Calculate the highest common factor of 714 and c.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12450*u**3 + 583*u - 2 wrt u?\nAnswer: 74700*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + d + 6 = 0, -18 = 3*f - 2*d + 5. Let q be (-1 + 1)\/(f - -4). Solve q = -z - 0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 20 = -157. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 3*z + 4. Let u be o(3). Suppose u*c = 8*c. Sort -2, c, 4 in ascending order.\nAnswer: -2, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*b**3 - 148*b**2 + 36*b.\nAnswer: 4*b*(b - 9)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/182 in 3, -3\/7, -1.4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**3\/5 - 174*p**2\/5 - 339*p\/5 - 168\/5 = 0.\nAnswer: -56, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eicaicealaaeii. Give prob of picking 1 a and 1 c.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbkkbkbkkkkk. Give prob of picking 1 k and 2 b.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 6*g**3 - 20138*g**2 - 154760*g + 53824 = 0?\nAnswer: -8, 1\/3, 3364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h. Let q(g) = -2*g - 2. Let c(f) = -3*q(f) - 12*v(f). Let z be c(-3). Let m = 60 - z. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*k = -39, 5*h - 72 = -3*k + 7*k. Solve h = -4*w - 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 10*t**2 - 15*t - 37. Let i be d(-11). Suppose -4*x = -i*c + 2*c + 20, -4*c + 4*x = -16. Solve 2*a - 15 + 1 = -2*p, c*p - 19 = -a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**2 - 10*z - 6. Let c be b(-7). Suppose c*x = 0, 5*k = x + 16 + 14. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4021556079?\nAnswer: 3, 1340518693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3819 is divided by 222.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13933*f**4 - 5509 with respect to f.\nAnswer: 55732*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3 + 3 = -h, 0 = -5*x + 2*h - 3. Sort 2, 4, x in ascending order.\nAnswer: x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a75 + -242c?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6) - (-32)\/6. Suppose -w - 17 = -m*w - 2*c, 4*w - 32 = 3*c. Let i(p) = p**3 + p + 9. Calculate the remainder when i(0) is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**6\/30 - t**4\/12 - t**3\/6 + 4*t**2. Let c be q(-1). What is the third biggest value in c, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/5)\/((10\/(5\/(-1)))\/(-1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k + 9. Let h be z(-9). Let l = -26 + h. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -5*i**2\/2 + 6*i + 2. Let q be o(4). Does 13 divide (-89)\/(-7) - 4\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 23*v**2 - 24*v + 14. Let k = 185 + -161. Let x = -15 - -25. What is the lowest common multiple of o(k) and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 11 + 1 - (0 + 3). Let f(a) = -a**2 + 10*a + 4. Let h be f(0). Solve -2 + 1 = x, h*x + p = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhzhhhhhjhzhh. Give prob of sequence jhj.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10}. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 1491*p - 743*p - 749*p.\nAnswer: -p + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcy when three letters picked without replacement from cwcjwjggjcjjgwgwyw?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1217 is divided by 153?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p - 10. Suppose -9 = f - 4*v, -v + 4 = 5. Let b be y(f). Let z(x) = 34*x**2 - 17*x**2 - 2 - b*x**2. Calculate z(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 5*b - 24 = 0, j + 5*b = 16 + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188, 153, 52, -151, -492, -1007, -1732, -2703?\nAnswer: -3956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 6*w - 2. Let j(y) be the first derivative of -y**4\/4 + 2*y**3 + 4*y**2 - 2*y - 2. Let g be j(7). Give v(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15685167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11.764768896386 and 1.\nAnswer: 12.764768896386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = w. Let z be 12 + -1 + w - 2. What is the second derivative of 4*d + 4*d - z*d**3 + 6*d - 4*d wrt d?\nAnswer: -54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 3, z: 2, h: 4, e: 2, r: 2}. What is prob of picking 2 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -1550 and 3193456.\nAnswer: 3191906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 620455*a + 90. Let r be o(2). What is r rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.04 (b) 1.90505 (c) -4 (d) -3 (e) 0.3 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1008434 is divided by 1681.\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*i - 269*i + 506*i - 10251 = 6409 for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(((((j*(j*j*j**(1\/11))\/j)\/j)\/j)\/j)\/j*j))\/(j*j*(j\/((j\/j**12*j)\/j))\/j)*(j*j**(-13))\/(j\/(j\/j**(-4)*j)) assuming j is positive.\nAnswer: j**(-199\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 108646211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6) + -4 + (-1 - -5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 9. Let d(l) = 3*l + 18. Let n(q) = 4*d(q) - 7*m(q). Let y be n(4). Is (1\/(-2))\/(y\/(-158)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -968, -1937, -2906, -3875, -4844, -5813?\n\"Answer: -969*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -105.84 + -2\nAnswer: -107.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-72))\/(2860\/(-3432)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4920.94227 rounded to zero dps?\nAnswer: -4921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 430298908 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(204) + sqrt(204)*-1 + sqrt(204)))\/(-2*sqrt(48)) + 1.\nAnswer: 1 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 126*r**3 - 4*r**2 + 2*r - 43. Is j(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4761244248.1 and 0.04.\nAnswer: -4761244248.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -6*d + 35. Find the third derivative of 37006*h**4 + 4*h**6 + 4 - 20*h**d - 37145*h**4 - 5*h**6 wrt h.\nAnswer: -120*h**3 - 3336*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**5\/120 - 7*f**4\/12 - 55*f**3\/4 - 3887*f**2. Factor m(x).\nAnswer: (x - 33)*(x + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37065742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -666 divided by -2\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -1171*a - 353666. Determine z(-302).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1061 = -5*l + 4079, 2*l - 2056 = -3*s. Let j = -2658 + l. What is j rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2253 is divided by 2177?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 9. Give q(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/12 + (-7)\/(84\/218). Let s be (-1920)\/1100 + r\/(-15). What is the biggest value in s, 5, -1\/5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23409950.\nAnswer: 2, 5, 468199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, t: 3, r: 2, v: 2, c: 2}. Give prob of picking 1 r, 1 c, 1 y, and 1 t.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1722696 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -322 - -234001?\nAnswer: 233124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 46448?\nAnswer: 46442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -4.3172, -3, -0.1 in descending order.\nAnswer: 0.05, -0.1, -3, -4.3172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/4 - 17559\/(-12). Let l = -2540 + a. Is (-3)\/2 - l\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 19*q - 578. Let k be i(36). Let s = -32 + 66. What is the greatest common factor of s and k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5882\/3 - -1961. Let l = 3.08 - 0.08. What is the nearest to u in 2, l, 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n + 54. Determine z(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**4\/4 - 7*l**3\/3 + 9*l**2\/2 + 2*l - 214. What is w(-6)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28865250 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12081 - 12066. What is the remainder when 1495 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}