diff --git "a/data/dm_maths/full_data_2/10579_11255.jsonl" "b/data/dm_maths/full_data_2/10579_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10579_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: -6.9 - 0.268\nAnswer: -7.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, -7, 1, 0.104, 0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522*x + 15691 + 6723 = 490 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -69*u - 114 - 336 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((0 - -1) + -5 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208935 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**4\/12 + f**3\/6 + f**2\/2 - 525*f + 1. Let p(o) = -2*o**3 - 2*o**2 + 7*o + 5. Give -5*i(v) + p(v).\nAnswer: -2*v**3 + 3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - 17*d - 8. Let x(n) = 5*n**2 - 34*n - 17. Let m(g) = 7*k(g) - 3*x(g). Let i(f) = -2 - 2 + 3 - 4*f. Determine 9*i(p) - 2*m(p).\nAnswer: 2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.12185 - 0.01035. What is z rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3932 - -4.6068. What is the closest to 1 in -1, f, -23\/2, -22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-24))\/((-1)\/(3*-1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (-24)\/10 - (-63)\/495. Let l = -1\/11 - a. What is the third biggest value in -10, -1\/3, l, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 4 + (18 - -3) + (0 - 10) + 16.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*w = -x - 24, -13755*x - 4*w = -13760*x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7027\/56408 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -23*s - 9. Let j be g(-4). Let v = j + -3. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 9. Let l be x(-13). Calculate the greatest common factor of 16 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 262*a**2 - 40*a + 40. Let l(u) = 105*u**2 - 16*u + 16. Let g(x) = 12*l(x) - 5*t(x). Let c(n) = 33*n**2 - 5*n + 5. What is -8*c(q) - 5*g(q)?\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*g = -64*g - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 5. Let x be y(-5). Suppose x = -0*l - l + 12. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13204, 26304, 39396, 52474, 65532, 78564, 91564, 104526?\nAnswer: 117444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001829 rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 898*o + 8. Let a(b) = 287*b + 3. Give -11*a(g) + 4*w(g).\nAnswer: 435*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 38.66697 and -10.300949.\nAnswer: 28.366021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -35 (b) 0.3 (c) 0 (d) 4 (e) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - ((-1)\/2)\/((-4)\/(-26344)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, r: 5, n: 4, q: 2, y: 1}. What is prob of sequence nry?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34501245?\nAnswer: 3, 5, 17, 19, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**4 + 33*w**3 - 135*w**2 + 243*w - 162 = 0. What is w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*d + 2*d**2 - 86 - 57*d - d**2 - 4*d**3 + 22*d + 19*d to l*d + u*d**2 + r*d**3 + m and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/7))\/(n*n**(1\/11)*n*n*n))**(-1\/4) assuming n is positive.\nAnswer: n**(227\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 392528295?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 421339437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 193 = 217. Let r be -1*(-4 + 79)\/(-3). Solve r = -c + f*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -1. Which is the closest to -2\/7? (a) 0.2 (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 44*b - 111. Let y be q(58). Do y and 701 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/597?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1545 - -1041. Let t = 95 - i. What are the prime factors of t?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 - 8937304*b**3 + 9984434285852*b**2 - 19968841759800*b + 9984416411250.\nAnswer: 2*(b - 2234325)**2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 6. What is the tens digit of i(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2\/11*t**3 + 2\/11*t + 0 + 0*t**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -14*x + 23. Let k be b(2). Let s(o) = 5. Let h(f) = f + 3. Let y(l) = k*h(l) + 4*s(l). Give y(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*z + 44*z**4 - 121*z**2 + 104*z**2 - 47*z**4 in the form a + d*z**3 + b*z + r*z**4 + g*z**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 20 = -2*v - q, -4*v + 5*q + 45 = 0. Solve -2*b - 2 = -2*o, -1 = v*b + 5*o - 36 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2654278 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: Let p(y) = 0*y + 13 - 6 - 4*y. Suppose -2*r + 3*r = 2. Suppose 10 - r = 4*t. Let z(i) = -i + 2. Determine t*p(g) - 7*z(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(((-481)\/592)\/(-13))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69\/137 - 13001\/3836. Let s = -11027\/5083 - -50\/23. Let m = 4643\/442 - s. Calculate the common denominator of m and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*o = 60*o - 160. Suppose -18*j + 112 = -o. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 2*a**2 + 4*a - 6. Let s be j(6). What is the highest common divisor of s and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.4. Let h be (456\/9)\/(-4) + -1. Let r = h + 199\/15. Sort r, n, 5.\nAnswer: r, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -422515551?\nAnswer: 422520000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -265978 or -268586?\nAnswer: -265978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -19206 divided by 198?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1048 and -13914 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 20. Let u = z - 12. What is the least common multiple of 7 and u?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117\/15635816 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 233333201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(288))\/(sqrt(486) + (sqrt(486) - sqrt(486)*-2) - sqrt(486)).\nAnswer: -16*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-13263)\/(-21) + 4\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130 + 244. Let m = 116 - x. What is the highest common factor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/4 (b) -0.1 (c) 451\/9 (d) 0.5 (e) 279 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -27*w**2 - 8*w**2 + 3*w**2. Let b(a) be the third derivative of -a**4\/24 - 6*a**2 + 10. Calculate n(b(u)).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 611 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54293920921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2562*n + 72050. Give h(-28).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 20057977.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 10 = -3*o, -3*o = -2*t + 23. Let v(p) be the second derivative of 0*p**3 + 0 + p**2 + 1\/3*p**t + p. Differentiate v(f) wrt f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2552697 to the nearest integer?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6 = j, 0 = 5*i - 3*j - j + 57. Let v be (-6)\/(0 - i\/(-12)). Let d be (-2)\/(-5)*(3 + 2). Calculate the highest common divisor of d and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - 1 - (-25 + (5 - -21)) - -5?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 820 (base 15) to base 14\nAnswer: 94a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 4*j + 5. Let k be t(-5). Let b be 1*(-3)\/6*k. Let f(x) be the third derivative of -x**5\/60 - 7*x**3\/6 - 2*x**2. Calculate f(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 543 + 3*y + 95.\nAnswer: 6*y + 638","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, -6, -2.\nAnswer: -9, -6, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6 = -0. Let j(a) = -a**3 + 2*a**2 - a + 1. What is j(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-4)*(y**(-9)*y)\/y*y\/((y\/(y\/(y*y**12)))\/y)*y*(y**18\/y)\/y assuming y is positive.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -145, -252, -369, -496?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103734273 to the power of 1\/3, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1830569 is divided by 1258.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -430035934*j**4 - 399615359*j**2 wrt j?\nAnswer: -10320862416*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 922.61 from -5532.5269.\nAnswer: -6455.1369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(152)\/(sqrt(48)\/sqrt(150)))**2.\nAnswer: 40*sqrt(19) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55\/26 - 644\/117. Calculate the common denominator of f and 77\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(2 - 2\/(16\/12)). Let o(b) = -b**3 - 5*b - 6. Give o(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/5)\/(6\/(-10) - -1). Solve -3*g - u*g = 3*p - 14, 4*g = 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = u - 2*u + 2*k, -u = -3*k - 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/11505 and -68\/34515?\nAnswer: 34515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-99)\/63 + 2).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-3))*m)**29\/(m**20\/m*m**(-2\/49)) assuming m is positive.\nAnswer: m**(-3771\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxx. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n + 4. Let t be u(5). Find the common denominator of (-6)\/t + 411\/(-140) and 11\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 5*g - 7*g. Let p be (1 + g)\/((-13)\/(-949)). Is p not equal to 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 303*s - 73*s - 218*s. Let l(z) = -13*z + 17. Determine l(a(r)).\nAnswer: -156*r + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 7:34 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -1.7, 3, -4, 1\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*z = 59*z. Let w(p) be the third derivative of -p**4\/24 + p**3\/6 - p**2. Let y be w(z). Which is bigger: y or -2\/17?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b. Suppose -y - 13 = 3*p, -3*p + b*p - 5 = 5*y. Suppose -y*s + 21 = 3*z - 21, -s - 21 = -2*z. What is the highest common divisor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 668 - -11188. List the prime factors of b.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/4, 0.4, 3\/4, -5, 5, -2\/39.\nAnswer: -5, -13\/4, -2\/39, 0.4, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1969940 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -749091, -749094, -749097?\nAnswer: -749100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 209203991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twdk when four letters picked without replacement from {d: 5, k: 3, i: 1, t: 2, w: 5}?\nAnswer: 5\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 208258245 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(133) + sqrt(133) + 1*sqrt(133)))\/(sqrt(175)*-1).\nAnswer: -9*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 1385*q**2\/2 + 1170*q - 229. Differentiate z(w) with respect to w.\nAnswer: 1385","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9797?\nAnswer: 97, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 6 = 4*n. Let 0*g**5 + 3*g**5 + 8*g**4 + 22*g**n + 18*g**2 + 7*g + 1 + 5*g**4 = 0. Calculate g.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603800\/(-396)*8\/(-5) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, -5, -2\/13, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-264)\/(-42)*7\/2. What is the highest common divisor of o and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/32*0\/2)\/(-1))\/(291\/(-97)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -2, -5, -1, -3, -249.\nAnswer: -249, -53, -5, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -0.2, -0.3, -9\/2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -82*z + 22*z + 33*z + 30*z. Let n(d) = 112*d**2 - 7. Calculate x(n(h)).\nAnswer: 336*h**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95 - -286\/3. Which is smaller: z or -0.004?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0 = 10. Suppose o*l - 20 + 5 = 0. Which is smaller: l or 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10320 to the nearest 100.\nAnswer: -10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, o: 4, a: 4}. What is prob of picking 2 e and 1 o?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*l**2*n**3 - 64794*l**2*n**2 + 374*l*n**3 + l*n - n**3 + 2*n**2 + n - 23 wrt l?\nAnswer: -72*n**3 - 129588*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 divided by -37?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 172990 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7199075?\nAnswer: 5, 13, 17, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/640)\/((-3)\/(-256))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10708 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: Which is the third biggest value? (a) 5 (b) 1819 (c) -191 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 17*g - 307. Determine y(17).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -295057 or -295049?\nAnswer: -295049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -63 + (-6)\/2 + 5. Let u = k + 841. Suppose 7*p = 4*p + u. Round p to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000031742 to seven dps.\nAnswer: 0.0000317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64449\/(-4092)*(-8)\/(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*(-18)\/(-72)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1093 and 61022?\nAnswer: 66697046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-101577)\/1512 + 65 + (-14)\/(-9)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -720 by -360.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.2, 0.417, 2\/9, -0.4 in descending order.\nAnswer: 0.417, 2\/7, 2\/9, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 137937.5227 rounded to the nearest ten?\nAnswer: 137940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70724*b**5 - 237*b**3 - 70049*b**2 + b + 210?\nAnswer: -4243440*b**2 - 1422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*f + 241. Let o = 422\/7 + f. Are 1 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njnkncccnkfjknkjka. Give prob of sequence cjj.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 - 16*w**2 + 7*w**2 + 7*w**2 + 2*w**2.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2*r = -25, -2*s + 66 - 86 = -3*r for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78435?\nAnswer: 3, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 127 + -126. Let h(s) be the first derivative of s**2\/2 - 2*s - 224. Let t(j) = -1. Determine w*h(q) - 4*t(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/9 + ((-210)\/9)\/(-5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 33*h**2 + 88*h + 51. List the prime factors of c(-28).\nAnswer: 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 115 - 397 = 0. What are the prime factors of v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/(l*l\/(l\/(l*l**3))))))\/l)\/(l*l*(l*l*l**(-4\/9))\/l*l)*(l**(-5\/4)*l)\/l*l**(-3)*(l*l\/(l**2*l)*l**8)**38 assuming l is positive.\nAnswer: l**(9115\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.06 and 16602.\nAnswer: 16601.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7574562 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 27, -315, 43, -3, -2, 3 in ascending order.\nAnswer: -315, -4, -3, -2, 3, 27, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41956673?\nAnswer: 11, 67, 56929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28046 is divided by 214?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-6.89\nAnswer: 3.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48972475?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 134802, 269556, 404310, 539064?\n\"Answer: 134754*h + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1182762145 - -244879.\nAnswer: -1182517266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15048\/614460)\/(((-2)\/(-4))\/(15\/(-6)))?\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v - 117. Let w be -13 + 90\/24*-4. Calculate u(w).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.2 (c) 3\/5 (d) -10 (e) -1801 (f) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17674 (base 13) in base 5?\nAnswer: 2420144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 5. Let k(l) be the first derivative of -l**3\/3 + 3*l**2\/2 + l + 3. Let g be k(a). Solve -6 = m + 5*p + g, -4*m - 3*p = -6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1706 + 1742 = 36*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/26)\/((-18)\/684*-19)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15611 and 4463406.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 3, e: 12}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 810*a**2 + 16*a - 2. Does 11 divide l(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16784\/11 + 1526. Which is the third biggest value? (a) x (b) 3 (c) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/5 - 1647*b**2\/5 + 904203*b\/5 - 165469149\/5.\nAnswer: (b - 549)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 6, -d + 0*d = -i + 30. Let j be 336\/d*(-4)\/6. Suppose -166 = -3*h - b, -b - 6 = 2*b. Calculate the greatest common divisor of h and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95102 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a + 9152 + 2275 = -5205. Calculate the remainder when a is divided by (1 - -1)*117\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 788 = -5*z, b + 638 = 4*z + 4*b. What is the remainder when z is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6 + -4. Let d = 8 + -8.3. Let n = d - q. Which is the second biggest value? (a) n (b) 0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3013*(0 - 1\/4). Let k = -757 - i. What is the common denominator of -3\/2 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(750) - 4*sqrt(750)*-5)*-2)\/((sqrt(640) - (2*(-3*sqrt(640) - sqrt(640)) - sqrt(640)))*2).\nAnswer: -21*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83306?\nAnswer: 2, 23, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 - 1550.36335998.\nAnswer: -1536.36335998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 + 101. Let d(s) = s**3 + 6*s**2 + 2*s + 4. What is d(q)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 13) + (-5 - 3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + r + 0*w - 3*w - 71 = -r, 796*w = 799*w + 81 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124659*g*j**3*x**2 - 2*g*j**2*x + 2*g*j*x**2 - 274*g*x - j**3*x - x**2 - 1 wrt j?\nAnswer: 747954*g*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/21 and 31\/4273423.\nAnswer: 12820269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = 5*o + 5, o - 3 = -2*f. Is 12 a factor of 24\/4*21\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11114160047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 286*v - 100. Let m be i(10). Round m to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = c + 11143 - 11158, 4*c + 24 = -a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000039343366 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 5, -4\/17, -2.37?\nAnswer: -2.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 194, 190, 186?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -241909000 rounded to the nearest 1000000?\nAnswer: -242000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + (22 - (47 - -45)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 15. Suppose 0 = 2*g - 3*y + 2, s = 4*g - 2*y + 5*y - 14. Let z(o) = 2*o + 1 - 4 + 3 - o**3 + o**2 + 1. Calculate z(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**3 + 314*n**2 + 3276*n**2 - 95 - 818*n**4 + 96 wrt n?\nAnswer: -19632*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 3*l - 5*l - 3*l + 4*l - 2*l + (-3 + 1 + 3)*(-l + 6*l - 3*l) + l + 0 + 0 - 2*l + 3*l + 3*l + l - 2*l - l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1330748 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (7 - (4 + 6 + -8)) + -37\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2.7. Let x = n + 1.7. Let m = -1 + x. Which is the third smallest value? (a) -1 (b) m (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13\/36 + 1\/9. Which is greater: i or 0.32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - k**2 + 5 + 1 - 3 - 2*k + 0*k**3. Let d be r(2). What is the second derivative of d*x**2 + 0*x - 3*x**2 - 4*x**4 + 7*x wrt x?\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110 - -21012?\nAnswer: 12202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154435?\nAnswer: 5, 67, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1127*q + 39. Let r be ((-196)\/35)\/(14\/35). Is s(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5)*-6 + (sqrt(11) - sqrt(99)\/sqrt(9))*-5)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**4\/12 + 288*r**2. Let f(v) = -4*v + 4*v + v. Determine f(m(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1189 and 5510?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 3*q - 3. Let f be p(4). Suppose 0 = 2*s + 3*m - 6, 0 = -6*s + 2*s + m + 26. What is the least common multiple of s and f - -1 - 0 - -3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 484?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25925*x**2 - 51840*x**2 - 2 + 25918*x**2 - 44*x**3 to the form z*x**3 + q*x + w*x**2 + t and give z.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -144, -214?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84073, -168127, -252161, -336175, -420169, -504143, -588097?\nAnswer: -672031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3+10038169340083\nAnswer: 10038169340080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 4, i: 10, b: 3}. Give prob of sequence ik.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 12:53 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 12. Let p be q(10). Let z be (3\/p)\/(3 - 2). Put 3, z, -3.4 in decreasing order.\nAnswer: 3, z, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 = -41*j + 2*f, 198*j + 5*f = 203*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*h - 10 = 0, -x - h + 1 = -9. Does 10 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 9\/4*y**4 - 6*y - 1\/2*y**2 + 39 + 1\/3*y**3. Find the second derivative of r(q) wrt q.\nAnswer: 54*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 3*j**4\/4 + 26*j**3 + 240*j**2 - 3640. Let u(d) = 0. Calculate d.\nAnswer: -16, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 6)*(7 - 7 + 21*b + (2 - 5 + 2)*(2*b + 2*b + 0*b)) as c*b + d and give c.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 3 - 2*a**2 + 15 - 9*a - 1 to v*a + q*a**2 + d and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/275817 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 339.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2013 (base 6) to base 7.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u - 324 = -77*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 6 - 4*u**2 - 9.\nAnswer: -2*u**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/3156 and 37\/36?\nAnswer: 9468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, j: 4}. What is prob of sequence nnn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-185400)\/1200)\/((-1)\/((-8)\/(-6)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*h = -445*h + 2633407. Does 55 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 3*f, -3*f = -5*a - 105625 + 105633 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/130 and -79\/68?\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 5 = 2*j, -11*m = -5*j - 8*m - 40 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 6 = -4*s, y + s - 1 = -2*y. Find the common denominator of (-78)\/(-8)*y\/(-1) and (-2)\/(-8) + 381\/(-60).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -841216 divided by 64?\nAnswer: -13144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 8 + (-3 - -2 - 0) - -1\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -14*t - 138. Let d(p) = 10*p - 171. Let r be d(16). Let n be k(r). Calculate the highest common factor of 76 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*w = 57*w - 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 - 26889*p**2 - 60264969*p - 60238083.\nAnswer: -3*(p + 1)*(p + 4481)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 2472*h**2 + 509232*h + 34967264.\nAnswer: 4*(h + 206)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbrrrkbr. Give prob of sequence rrbr.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 + 29*x**2 + 183*x - 512. Determine k(-7).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -13?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024412 to five decimal places.\nAnswer: -0.00244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 2*f**2 - 2*f - 8. Let v be l(4). Let z be ((-40)\/(-12))\/((-1)\/(-3)). Calculate the highest common divisor of z and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -357, 2, -51 in ascending order.\nAnswer: -357, -51, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1674*u**2 - 1104*u + 34. Let o(b) = 558*b**2 + 368*b - 12. Let k(a) = -6*h(a) - 17*o(a). Find the second derivative of k(g) wrt g.\nAnswer: 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, 0.14, -15\/7 in descending order.\nAnswer: 143, 0.14, -15\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 19. Let p be k\/(-4)*(-1 - -3). Solve p*r + r = 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 21768.\nAnswer: -1\/21768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 214094287 and 77852468?\nAnswer: 856377148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/(-8)*(-32)\/(-6). Let s be 12\/9*36\/j. Solve 10 = s*m + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(2*sqrt(8)))\/((-3*sqrt(2) + sqrt(2))*5).\nAnswer: -sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*(-34008)\/1417\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 2) + 16 + -7 + 2 - 39?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5*f - 2 - 4*f)*(3 - 3 - 7*f).\nAnswer: -7*f**2 + 21*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 8 - 56. Suppose -4*s + 3 + 1 = 0, 3*s = -3*f - h. Let j be (-179999)\/3 - (-3)\/f. What is j rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9651*h**4*u + 4*h**3*u + 5*h**2*u + 8*h - 176 wrt h.\nAnswer: 231624*h*u + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**2 + 2*x - 6. Let v(t) = 12*t**2 - 3*t + 13. Let b = 8 - 10. Let i(q) = b*v(q) - 5*a(q). Find y such that i(y) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 12, -97, 0, -1 in descending order.\nAnswer: 12, 0, -1, -10, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1054272 divided by -578.\nAnswer: -1824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 9:23 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000054486 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1145 * 110.8\nAnswer: -12.6866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 9*v - 8. Let k be s(10). Let h = k - -8. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 10:57 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + g = 0, x - 5*g - 4 = -20. Let q(d) = -4*d + 8. Let v be q(7). Find the common denominator of -9\/10 and v\/(-9) + 2\/x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 322\/92*824\/14. Let m = 209 - p. Solve -7*a + 12 = -m*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141 - 138. Solve 0 = -z*i - 0*n - 4*n + 18, 5*i + n - 13 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 54\/72*1*8. Solve -t*w = -15*w + 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1521 - -1521. Let q = 6 - 6. Let c be (-6)\/8 - 0 - q. What is the closest to -2 in c, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 13\/158 and -6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyjo when four letters picked without replacement from {j: 2, d: 6, o: 2, y: 1, u: 2, f: 4}?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3*k = 5, 2*k + 23 = 5*l + 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 733863 and 1214?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 17) + 47 - (-4 + 8 + -5).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 8*h**3 + 13 - 2*h**2 + 72.\nAnswer: -6*h**3 - 2*h**2 + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a decade in years?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 2*n = 154 - 147, 17*y - 12*y = 4*n + 41 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 15) in base 14?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 7*b + 10*b + (3 + 2 - 3)*(3*b - 5*b + b))*(-4*b**2 + 3*b**2 - b**2).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 286\/6 + 20\/60. Is (2328\/b)\/((-2)\/(-12)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 - 118 = 54*m - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3589 + 3599. Factor -4*q - 2\/5 - k*q**2.\nAnswer: -2*(5*q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2173 and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1)*(5 - 49). Let p = 147 - t. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8059, 32164, 72297, 128458, 200647, 288864, 393109?\nAnswer: 513382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 - 1189*w + 1186*w + 46*w**4 + 5*w**4 wrt w.\nAnswer: 612*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 0*d + 18*d)*(260 + 1942*d - 260 + 954*d + 941*d).\nAnswer: 53718*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.192455872 + 130.\nAnswer: 130.192455872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(4\/(-9)) - 3. Let k be -2 - u - (-1 + -2). Let v = 5 + k. Solve v = -7*g + 3*g - 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1837589187?\nAnswer: 3, 7, 4093, 21379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0027 and -2?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1504 = -19*n - 1713 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 5*s**2 - 63*s - 28. Let t be i(11). Solve 5*j = 2*v - t, 3*v + 6 = 3*j + 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7557*d - 7468*d + 1 - 2)*(6 - 1 - 3) to v*d + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1956, 8212, 18630, 33204, 51928, 74796, 101802, 132940?\nAnswer: 168204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2. Let o(c) be the third derivative of -c**4\/24 - c**3\/6 - 672*c**2. Determine 4*n(x) - 3*o(x).\nAnswer: 3*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c - 4. Let x = -10 + 0. Let h = x + 21. What is the tens digit of t(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 4, -0.4, 0.07?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9311838 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 407.0000299 - 407. What is w rounded to 6 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**2\/11 - 884*r\/11 - 97682\/11 = 0.\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 817.9 and 1.\nAnswer: 817.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 2, 1.4, 1\/4, 6, 11 in decreasing order.\nAnswer: 11, 6, 2, 1.4, 1\/4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvk when three letters picked without replacement from mmmmkmmmxkmxvkfvm.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -130, -125, -118, -109?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 6:52 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 334\/26) + 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-12)\/(-1))*(-2)\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483109 is divided by 473?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 42759*l - 256552. Let d be v(6). Solve 1\/3*o**d - 58\/3 - 19*o = 0 for o.\nAnswer: -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 2\/5*z + 3 + 0*z**3 + 2\/5*z**2 - 2\/25*z**5 - 1\/5*z**4. Determine n so that c(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-1\/5))**(-2\/79))**(2\/23))**(-50))**7 assuming g is positive.\nAnswer: g**(-280\/1817)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/1273 + -78933\/8911. Do -9 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*p - 6329*p**2 - 32*p - 46*p - 40*p.\nAnswer: -6329*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-10\/19))\/b)**(1\/4)*((b\/(b**(-2\/47)\/b))\/b)**(-4\/21) assuming b is positive.\nAnswer: b**(-359\/5358)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 80 = 5*g, -136 = 34*g - 36*g + 28*c for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 2*g - 7, 5*z + 0*g + 8 = 3*g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87686*k**3 - 171577*k**2 - 3*k?\nAnswer: -526116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 711*u + 83. Is c(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 56*q - 275. Which is the closest to -0.1? (a) q (b) 0.1 (c) 4 (d) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001164 rounded to 5 decimal places?\nAnswer: 0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 c when four letters picked without replacement from {e: 3, c: 13}?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 2302409\/8 and 287802 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 561861 + 1255295 = -11*x + 55*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2175, 51, -2.\nAnswer: -2, 51, 2175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -7*j + 2, -110*z + 108*z - 14 = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75966 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoooaoao. What is prob of picking 2 o and 1 a?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.074 + -41.926. Let i = -1857 + 1898. Let x = d + i. Which is the closest to x? (a) -1\/9 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*z - 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**5*p*p**(-3\/4)\/p*p*p**(-1\/5)\/p**(-1\/10) assuming p is positive.\nAnswer: p**(-77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 15174, -2\/17, 5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30086725?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + sqrt(684)*-2 + -2)*1.\nAnswer: -6*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k = -26 - 25 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 17 (c) 1 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = s - 19, 5*s - 4*s = p + 12. Let y = -3 - p. Solve 2*m = -5*r + 4*m + 14, r - y*m = 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 11 + 10 = 3*k, -5 = -k - o. Solve b = 0, -2*b = -k*n + n + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3876 and 335796?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-25))\/((-1)\/(-1045)). Let l = -685 - a. Find the common denominator of -1*l\/36 - 2 and 74\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(10) - sqrt(10)*3))**2 + -2 + -2.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q - 5*y + 16 = 0, 0 = -5*q + y + 49. Suppose 32 = -q*c + 32. Solve 8 = -4*w + 4*b, -w = -c*w + b + 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21763, 43522, 65277, 87028, 108775?\nAnswer: 130518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 9 + 8 + 8*x + x - x - x**2 - 4. Give d(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236977 = -33*k - 12*k + 993413. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*i - 14*i + 8*i)*(3*i + 4 - 4)*(-i**2 + 2*i**2 - 2*i**2).\nAnswer: 96*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237.556 hours to milliseconds.\nAnswer: 855201600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h. Suppose 0 = 4*b + x + 36 - 120, 0 = -5*x + 20. Let l(p) = p - 7*p**2 + 19*p**2 + b*p**2. Calculate l(o(z)).\nAnswer: 32*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 79*l - 890. Calculate t(-13).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, v: 5, a: 2}. Give prob of sequence tvt.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y - 90 = 54 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 20 - 20) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2*34\/(-5355)*18.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 280*w + 1705. Let m be c(-6). Solve -5*k = -v + 33, -136*v - 5*k - m = -141*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, g: 4, d: 1, q: 4, v: 3, p: 1}. Give prob of picking 2 b and 1 d.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j - 27*j + 7*j + 9*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -s + 20, 4*w = s - 21 + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 373530 take away -0.226?\nAnswer: 373530.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13635520?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 25*t**2. Let c(s) = 18*s**2 - 40*s + 10. Let x(m) = 6*m**2 - 12*m + 3. Let p(b) = 3*c(b) - 10*x(b). Give p(z(v)).\nAnswer: -3750*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4442 + 3?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -21680*-145.57\nAnswer: 3155957.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349207 is divided by 235.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 9*y**6\/10 + 7*y**4\/12 - 13*y - 2. Let p(o) be the first derivative of d(o). What is the third derivative of p(j) wrt j?\nAnswer: 648*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293453243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9801250?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90a021 (base 13) in base 10?\nAnswer: 3363634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 + 2*p + 1. Suppose -3*n - 4 = -5*m - 25, -4*m - 10 = n. Suppose n*z + 3*w = z + 2, 0 = -z - w. Give s(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**3 + 4*y**2 + 4*y + 4. Let m(f) = 4*f**3 - 3*f**2 - 3*f - 5. Let c(b) = 4*m(b) + 3*x(b). Differentiate c(h) with respect to h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 1446*i**3 - 13080*i**2 + 21818*i - 10185.\nAnswer: (i - 7)*(i - 1)**2*(i + 1455)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8.15 and -2751.\nAnswer: -2759.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9*p + 195 - 3*p**2 + 38*p**2 - 55*p**2 - p**3. What is l(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.6 and 267900.\nAnswer: -964440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l**3 - 12075*l**2 + 2028*l + 10065 = 0 for l.\nAnswer: -671, -5\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - c**2 + c. Let w(v) be the second derivative of v**5\/4 - v**4\/3 + v**3 - v**2\/2 + 3*v + 7. Determine 4*b(f) - w(f).\nAnswer: -f**3 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8610.941 + -8616. Let p = -0.059 - s. Which is smaller: -1\/2 or p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -17346*h**2 - 17306*h - 1. Determine q(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8024 + 13228. What are the prime factors of a?\nAnswer: 2, 3, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a**(-19\/5))*a*a\/a**(5\/3)*a)\/(((a**(-38)*a)\/a*a*a*a)\/a**23) assuming a is positive.\nAnswer: a**(962\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -19\/90*m**6 + 0*m**4 + 0*m**3 + 1\/3*m**5 + 0*m**2 - 1\/126*m**7 + 5*m - 11. Factor d(p).\nAnswer: -p**3*(p - 1)*(p + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1011995037?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1584*z**2 - 8*z - 45. What is the ten thousands digit of d(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -24*c - 16. Let v(a) = -4238*a - 179. Is v(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*y + 13 = -33 - 126. Let s(x) be the second derivative of 1\/6*x**y - 3*x + 0*x**3 + 0 + 0*x**2. Let k(u) = -2*u. What is k(s(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33851 + -33738. What is the remainder when 261 is divided by w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 + -0.46. Let r = -15623 + 15621. What is the third smallest value in x, 0.02, r, 2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24340583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 11 - 11 - 13 - 26*q. Let v be j(-6). Find the first derivative of 24 + 143*w**3 - v*w**3 + 16*w**4 wrt w.\nAnswer: 64*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05245 and -7.\nAnswer: -0.36715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36.2 + -0.2. Let y(r) = 815*r + 36674. Let h be y(-45). What is the biggest value in -3\/5, v, h, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 31 = -165. Let p(j) = -2*j**2 + 4*j. Let f be p(-3). Let l = f + i. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.077475 centuries?\nAnswer: 0.9077475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((4\/3)\/(-2))\/2. Let r be 674\/(-6) + 5\/15. Let l be ((-12)\/(-112))\/((-48)\/r). Which is the second biggest value? (a) -4 (b) l (c) -0.1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*n - 1045 = -n, 0 = -4*i - n + 1387. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 5:52 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 2*d**2 - 221\/24*d**4 + 0 + 0*d - 5\/6*d**3. Let z be n(-5). Round z to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329.802075 rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (3 - 5)\/((-4)\/246). Suppose -116 = -2*u + 2*j, 6*u - 4*u = j + g. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/95 in 3, -1, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - 10*h + 5. Let r be k(4). Let c be 160\/(-50)*(r + 3\/6). Suppose c*v - v = -5*v. Solve u + 13 + 5 = -4*g, -3*g - 4*u - 7 = v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(315) - (sqrt(315) - 2*sqrt(315) - sqrt(315)))\/sqrt(5).\nAnswer: 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 75. Suppose -4*a = 4*n - u - 157, 4*n - 5*a = 162. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 9*r**2 + 105*r - 1. What is the least common multiple of 35 and z(-12)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49952 = 49953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296578?\nAnswer: 2, 257, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -2\/105*r**5 + 0*r**2 - 4 + 0*r + 1\/42*r**4 + 0*r**3. Solve z(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 4005.\nAnswer: -1\/801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - a**2 - 3*a. Let k be c(3). Let w(d) = -13*d - k*d**2 + 13*d. Let x(j) = -j**2 - j. Let t(o) = -o. Let l(y) = -t(y) + x(y). Calculate l(w(q)).\nAnswer: -81*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {p: 4, a: 4, j: 2, i: 1, g: 1, w: 8}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + (-1 + sqrt(425))*-4 + -5 + sqrt(425) + sqrt(425)*3))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g. Let p(l) be the third derivative of 91*l**5\/60 + 4*l**2 + 724*l. Determine p(z(m)).\nAnswer: 91*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.00871486 rounded to three decimal places?\nAnswer: -8.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*r**4 + 12177289*r**3 - 10502530*r**2 + 2.\nAnswer: -384*r + 73063734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 3*n**2 - 4*n - 5. Let j be x(-4). Let p be 4\/10 + 2\/j. Let l(g) be the first derivative of g**2\/2 + 9*g + 192. Give l(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2241 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence soso when four letters picked without replacement from ssoo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -4 - (8 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 4:44 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a week in hours?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 151, -0.7, 0.1, -2\/9?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27811, 222394, 750499, 1778872, 3474259, 6003406, 9533059?\n\"Answer: 27791*a**3 + 15*a**2 + a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003717917 to 6 decimal places.\nAnswer: 0.000372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q + 2. Let g(h) = -8*h + 7. Let r(j) = -2*g(j) + 7*s(j). Let n(b) = -b**2 + 5*b - 6. Let w be n(4). Determine r(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 1, i: 1, w: 3, o: 1}. What is prob of sequence wi?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 765 + 1002. Does 93 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 372 and 186?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -4 (c) 72 (d) 2 (e) -35 (f) 1\/2 (g) -8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 15*y - 9. Let v be j(-6). Suppose 4*k = g - v, -2*g + 2*k = -7*g + 247. Calculate the greatest common factor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2622 or 2624?\nAnswer: 2624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**2\/2 + 271864*z + 19029255\/2 = 0.\nAnswer: -543693, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3363*q**4 + 87868*q**3 + 231270*q + 166 wrt q.\nAnswer: -40356*q**2 + 527208*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-1) - (-22 - -5)) + -2. Let u(p) = -20 - d + 39 + p. Give u(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + (sqrt(76)*2 + -1 - -2*(1 + sqrt(76))) + 1)**2.\nAnswer: 16*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1589397 and 313017.\nAnswer: 3039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 - -55. Let o = 47 - y. Suppose -o - 39 = -8*c. Solve -v + c = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 90 = -102. Suppose 0 = 7*m - v - 9. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00172371 rounded to 5 decimal places?\nAnswer: 0.00172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1040?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 + 1 + 0 + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1703479 = -5*u - 1774271, -3*b + 10433286 = -3*u. Suppose 3*f - 932235 - b = 0. Round f to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*c = -2*c + 123, f - 33 = 2*c. Is 25 a factor of (f + 96)*(-20)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 8. Suppose -5*q - 5 = -40. Let n(l) = -13*l - 18. Let r(c) = 8*c - 5*c + 4*c + 2 + 7. Let u(x) = 6*n(x) + 11*r(x). Calculate q*k(m) - 6*u(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9796.51555 rounded to zero dps?\nAnswer: 9797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*k + 7*q - 14, 2*k - 3*q + 13 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4642286891.\nAnswer: 11, 19, 22211899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + v = 38, 5*y = -v + 5*v - 32. Let b = y - -21. Let q be ((-416)\/(-8))\/(1\/2). What is the highest common divisor of b and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -381, -1491, -3281, -5703, -8709, -12251?\nAnswer: -16281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (35 - (9 + 17)) + -35\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z - 16 = 4*d - 24*z, -3*d - 26*z - 119 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxui when four letters picked without replacement from xixixiiiuuuiux.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70899860027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (10 + -21 - -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 461355 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (0 - -3 - 6) - -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 2*x. Let i(k) = -3*k**2 - 7*k. Let m(a) = a**2 - 5*a + 1. Let q be m(6). Let g(h) = q*b(h) - 2*i(h). Let o(s) = 2*s. Calculate o(g(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 49*r**3\/3 - 5012*r**2 - 755220*r - 71274400\/3 = 0.\nAnswer: -410\/7, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 10:23 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1506 and 95316.\nAnswer: 23924316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -15559.\nAnswer: -15562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*v + 8. Let g(m) = 3*m + 4. Let u be g(-6). Let w = v + u. What is w rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 17*x - 1. Let d be a(8). What is the greatest common divisor of 15 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1006 = -186*a + 76 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-40))\/((-891)\/(-330)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 - 10 - 10)*(5 - 1 - 2)*((-2*l + 4 - 4)*(3 + 1 - 3) + 5*l - 3*l - 4*l + 2*l - l - 2*l + 25 - 25 - 6*l) to the form u*l + s and give u.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.039848 to three dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*m = 15. Let z = -6 - -12. Suppose 0 = -m*s + z + 89. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 7)*(-3*n**4 + 3*n**4 + 2*n**5) - 5*n + 2*n**5 + 5*n.\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132407432.\nAnswer: 2, 16550929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**34\/o)\/(o*o\/(o\/(o*o**29*o*o))) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -36\/42776621?\nAnswer: -36\/42776621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hohh when four letters picked without replacement from {a: 4, m: 2, h: 3, e: 1, o: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3399?\nAnswer: 3, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 12:30 AM?\nAnswer: 603","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -79965 divided by -9?\nAnswer: 8885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -8*s + 3*s. What is the remainder when (72\/s)\/(9\/(-120)) is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47.41 - -48. Let w = s - -0.41. What is the closest to w in 5, -0.2, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15605158 and 4728?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 258 = 37*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 7*j**2 + (0*j + 2*j**2 + 0*j)*(4 + 1 - 4))*(-j**3 + j**3 + j**3).\nAnswer: 9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 + -0.8. Which is the nearest to 2? (a) -4 (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1736*h - 17584 = 1279*h + 11207 for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1552744 plus -1?\nAnswer: -0.8447256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 134*p - 472*p - 6 + 6 to the form c + t*p and give t.\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (1 - -32216) + 14\/7. Suppose 4*q - 32117 - z = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25, -28, -31, -34, -37, -40?\n\"Answer: -3*m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*w*y - 76212476*w - 855367*y wrt y?\nAnswer: 3*w - 855367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1505786 or -1505482?\nAnswer: -1505786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173183.\nAnswer: 173183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 710709 + -208058. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 171.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiwwwiw. Give prob of picking 1 i and 1 w.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-2 - -1) - (-18 + 23).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 53 + -40 + -4 + -6?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -41, 7, -1, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 5*y + 1. Suppose -5*u = -5*o - 5, 5*o = 3*u - 7*u + 22. Let n be o\/5 + 119\/(-35). Is d(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 21596*g**2 - 804680*g + 826272.\nAnswer: 4*(g - 5436)*(g - 1)*(g + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9606 is divided by 1919?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 223969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1003)\/(-289))\/((-363)\/6171).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0980229 rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 85943481?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 2, 7982130 in decreasing order.\nAnswer: 7982130, 16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 6 + 545\/(-35).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31412 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -89\/2. Let s = -1654 - -1657. What is the smallest value in l, 0.4, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 7*l + 13*l - 15*l + 10 + 13 + l - 27.\nAnswer: l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 3*d + 7. Let y = 44 + -14. Suppose y = 5*x + x. Suppose 10*a + 45 = x*a + 5*r, 5*a + 5*r = -15. Give i(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4*i - 6 = i, 0 = -2*i - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 64 + 30)*(-7 + 11 - 73*p - 2) to the form q*p + d and give d.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 45.1 times -0.3\nAnswer: -13.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*z**2 - 55*z**2 + 30*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2260*v = -2243*v - 119 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -17. Let v = o - -14. Suppose -4*y + 25 = 5*f, -v*f - 5*y = -3*f - 27. Solve 6 = -i + f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**2 + 251279*j + 188457 = 0. Calculate j.\nAnswer: -62819, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001075 to six decimal places.\nAnswer: 0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 + -274905309\nAnswer: -274905310.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 4. Let b be x(-5). Let f = -0.4 + 0.1. Let q = -0.2 + f. What is the nearest to b in 2, q, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/5)\/(b\/b**0)*(b**0\/b)**(-35) assuming b is positive.\nAnswer: b**(167\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4152 - -4221.66. Round a to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:12 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1552 - -1.0687. Let q = t - 2.369. What is q rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (-1)\/(-2)*0. Suppose -k*y + 8 = 0, y = q - y. Suppose 5 = -c + q*u, 4*c - 16 = 2*c - 5*u. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 5*m**4\/12 - m**2\/2 + 3*m. Differentiate n(a) with respect to a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/13 (b) 410 (c) -2\/3 (d) 4 (e) -2\/13 (f) 2\/11 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 970 = 12615\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114861?\nAnswer: 3, 38287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3478*q - 4103*q + 73 + 79 - 152 to the form x + r*q and give r.\nAnswer: -7581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 3*z - 9. What is the derivative of 13*p - 2*p - 8*p + z wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 608516498*r**2\/15 - 4116548*r\/15 + 6962\/15.\nAnswer: 2*(17443*r - 59)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/20? (a) -3 (b) 3\/4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17590, -35150, -52700, -70240, -87770, -105290, -122800?\nAnswer: -140300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 9*a. Solve 4*r + 4 = -2*w, 0 = 2*r + 4*w - a*w - 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 47.58 and -2.\nAnswer: -95.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 0.1, -0.117, -1 in decreasing order.\nAnswer: 5\/4, 0.1, -0.117, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**2 + 4\/5*l**3 + 38\/5*l - 8\/5 = 0.\nAnswer: 1\/4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 + 61 - (-4 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 + -5 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 6 = 6*w. Suppose u = -1 - w. Is u\/(-6) - (4256\/(-12))\/8 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*z**5 + 6475*z**4 + 91220*z**3 - 122615*z**2 - 155230*z - 35960 = 0. What is z?\nAnswer: -31, -29, -1\/2, -4\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = v - 12, 21 = -6*g + 2*g + 3*v. Let r = g - -4. Let s = 2 - r. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -56748\/7 or -8107?\nAnswer: -56748\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48477634917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.142 - -0.1.\nAnswer: 18.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002303 rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7159703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 123.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7939*i + 7951*i + 96 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*a = 27. Let c(y) = -5*y - 1. Let r(g) be the third derivative of -11*g**4\/24 - g**3\/3 + 19*g**2. Determine a*c(q) - 4*r(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48.61 + 51.61. Sort m, 5\/2, -1, -2\/7, 2\/17 in increasing order.\nAnswer: -1, -2\/7, 2\/17, 5\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efeftlttfleffwolel. Give prob of picking 3 l and 1 o.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 3*q - 15. Let k(a) = -2*a - 15. What is -3*k(y) + 2*l(y)?\nAnswer: 2*y**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 10:25 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 10*w + 6. Let v be n(10). Suppose v*j - 15 = 3*j. Suppose 84 = 2*d + 4*m, j*d = 3*d + 2*m + 114. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9034311 and 1092.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 6031 - 1448. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 312*i - 621*i + 299*i)*(-5 + 3 + 4)*(0 + 1 + 0).\nAnswer: -20*i - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -1\/4 (b) 33 (c) -1\/14 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 12:10 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -7. What is the units digit of (6\/j)\/((-6)\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 338 and 1017302.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12248, -12109, -11968, -11825?\n\"Answer: z**2 + 136*z - 12385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - v + 39 = 0, 5*f + 3283 = -2*v + 3208 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 666\/(-4)*4750\/(-285)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 808, 807, 796, 769, 720, 643, 532, 381?\n\"Answer: -l**3 + l**2 + 3*l + 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-9) - 19740\/1890. Which is the second smallest value? (a) -10.8 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 5423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -367, -731, -1089, -1441, -1787?\n\"Answer: 3*i**2 - 373*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-6 - 0 - (-22 + (-39 - -56))) + -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 281*m**2 + 13*m + 7. What are the prime factors of h(-2)?\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49265337?\nAnswer: 3, 11, 17, 137, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from ihinhhihhhigihyy.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/648702 and -11\/2460?\nAnswer: 6487020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + 3. What is the remainder when 35 is divided by s(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 12:20 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (17 - -13) - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 22\/61 (b) 1\/5 (c) 1 (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5 - 19 = -2*j, 6*k = 4*k - 48 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10933 divided by 841.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2957.8 and 175976.\nAnswer: 178933.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 16 = -9. Let d(v) = -v**2 + 7*v. Let t be d(5). Calculate the highest common factor of w and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*(-2 + 2 + 3)*(l - l - 2*l**2).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 2:38 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3) + sqrt(3)*-2) + (sqrt(48) + 1)**2.\nAnswer: 5*sqrt(3) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 14 = 4*i - i, 0 = -5*i - 20. What is the remainder when 1555 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 637*u - 637*u + 3*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4263 + 4?\nAnswer: 4267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.9 and -29729?\nAnswer: 175401.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 + 9442 - 9442.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -10 + 1 - -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4256 rounded to the nearest 100?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 4. Let k be d(0). Suppose 20 = -s + 5*v, s - 8 = k*s - 2*v. Suppose s = z - 2. Which is the nearest to z? (a) -2\/13 (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 101 - -46015?\nAnswer: 46116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93\/10 + (-61)\/(366\/54)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/6, 680, -2, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3*t + 13 = 0, -4*z - 10 = -2*t + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 175.3 + -1.3. Let x = o - 174.000089. What is x rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence renn when four letters picked without replacement from {n: 5, r: 3, e: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510*z = 276876 - 256986 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (39\/26)\/(2\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 166 - 166. Solve g + 1 + x = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 f when four letters picked without replacement from {f: 8, l: 5}?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1194 + 0?\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -1\/2*a**2 + 9 + 0*a. Let t(m) = 4*m**2. What is t(d(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -25*v + 375. Let a(t) = -7*t + 97. Determine -22*a(m) + 6*i(m).\nAnswer: 4*m + 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002685439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 2*u + 44, -4*h + u + 1 = -43. Suppose h*c - 8259 = 8*c. Suppose -c + 9753 = 7*q. What is q rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 2*b + 2. Let v be k(-2). Let y be v + -6*1\/(-2). Suppose -a = 3*n - 74, -5*a + y*n + 448 = 178. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2763 and 12623533.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 903743 - 3450743 = 0. Round a to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 9. Let s be t(-6). Suppose -5*l + 110 = s. Suppose -5 - l = -3*p. What is the remainder when 30 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 320 = b. Suppose 0*u - 4*u = -b. Calculate the least common multiple of -2 + u + (1 - 3) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 140.8094055239 and 154.\nAnswer: 294.8094055239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21.7 + 22. Suppose 4*q - 12 = -0*q. Let u = 3 + -5. Sort s, q, u in decreasing order.\nAnswer: q, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 388250757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.5 - -0.5. Let a = -16683 - -16683.1. What is the closest to -2 in s, -2\/5, a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -639 - -702. Calculate the smallest common multiple of 51 and i.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 - 10*c**2 - 3*c + 3. Let f(h) = -8*h**3 - 39*h**2 - 11*h + 11. Let n(p) = -22*b(p) + 6*f(p). What is the third derivative of n(g) wrt g?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-189)\/(-49) + (1\/7 - 0). Solve 30*i - 4 = -o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21520b2 + -6?\nAnswer: 21520aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14160 and 240?\nAnswer: 14160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 6*o + 5. Calculate d(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1936*z - 994*z + 18073930 - 18073930.\nAnswer: -2930*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/25 - -1)*(-15)\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5395, -5555, -5717, -5881, -6047, -6215?\n\"Answer: -d**2 - 157*d - 5237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -193044*s**2*y - 20205055*s**2 + 61*s*y wrt y?\nAnswer: -193044*s**2 + 61*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 5:42 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2707.587 milliseconds?\nAnswer: 0.0000313378125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2252 + -2172. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -6.91. Let u = l - -0.01. Which is bigger: 3\/4 or u?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11927350?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3072 and 498944.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**4)\/c*c**(2\/9)*(c\/(c**1*c))**(15\/8))\/((c*c\/c**0)**(1\/30)\/(c**(2\/5)*c*c**0)) assuming c is positive.\nAnswer: c**(265\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11410829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1199974 and 584?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-99)\/(-11)*(-1)\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + 13*q - 3*q**3 - 5*q + 1 - q + q**4 - 5*q in the form z*q + o*q**3 + d*q**2 + i + n*q**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*1*sqrt(228))\/(3*sqrt(300)*6).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 39\/(4914\/(-36)) - 16\/42. Which is the biggest value? (a) g (b) 1\/3 (c) -0.5 (d) 135\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h - 60. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 2*u - 32, -5*n - 206 + 261 = 5*u for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**4\/4 - 2*h**3 - h**2 - 6*h - 745. Let i(a) = 2*a**2 + 5*a - 4. Let t be i(-5). Suppose t = -3*m + 3. What is s(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f - 13. Let w be v(-7). Let c be 2*22*(-7)\/(-14). What is the first derivative of -m**2 - c + w - 16 wrt m?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 16. Let t be (-5 - 8)*j + 5. Factor -4*d - 3*d**4 + 4*d + 15 - t + 6*d**2.\nAnswer: -3*(d - 1)**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9912)\/(-112)*(2\/(-9))\/((-17)\/(-51))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 7:39 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 7)*((-21*h**3 + 11*h**3 + 8*h**3)*(3 - 4 + 5) + (-7 + 2 + 3)*(-2*h**2 - 2*h**3 + 2*h**2)).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-43))\/i**(-2\/9))\/(i**19)**(5\/12) assuming i is positive.\nAnswer: i**(1307\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19 - 14)*13050\/(-165). Calculate the greatest common factor of a and 360.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - r. Let u(b) = 3*b**2 + 5*b + 1. Let g = 9 - 14. Calculate g*c(p) - u(p).\nAnswer: 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + c + 3, -2*n - 3*c = -6*c - 19. Suppose n*w + 8 = 84. Suppose -4*j + 44 = -f, -2*f - 28 = -j - j. What is the remainder when w is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -15 (b) 0.3 (c) -1\/2 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20357 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -13. Suppose 6*j - 3*j = f. Solve 0 = 2*g - j*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-11 + 11) - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*a + 36 - 7, 26 = 2*c + 4*a. Solve -2*p + 0*u = c*u + 13, -p = 2*u + 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 70.482 and -0.4.\nAnswer: 70.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, a: 1, t: 1, h: 1, m: 1, c: 1}. Give prob of sequence mt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(2\/3))**36\/((b\/b**1)\/b)**40)**2)**(-1\/7) assuming b is positive.\nAnswer: b**(-200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27768\/1302887 + 1\/27721. What is the closest to -1 in 2\/27, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*y - 275*y = -113*y - 155. Let i(p) = 7*p**2 - 36*p - 1. Calculate i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1210) - -5*sqrt(1210) - sqrt(1210) - sqrt(250)*3)\/(-4*sqrt(20) + sqrt(5) - (sqrt(1715)\/sqrt(7) + sqrt(5))).\nAnswer: -8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 275*k**2*s**2 + 11*k*s**2 - 11*k - s**2 wrt k.\nAnswer: 550*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95\/6 - 16. Let t(g) = -g**2 - 7*g. Let c be t(-4). Let y be 23\/c + (-2)\/3. What is the nearest to -3\/2 in 2, l, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -482804 by -3.\nAnswer: 482804\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1. Let s = -3 + n. Let g be (-3)\/(-4) + 23\/s. Let r(h) = h**2 + 5*h + 2. What is r(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.237185 - -0.137185. Let p be 3\/(24\/14) - 2. What is the nearest to u in p, -0.3, -0.2, 1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Let c(j) = -2*j**d - j**2 + 5*j**2 + 4*j + 3. What is the units digit of c(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1161 + 896 = 17*u. What is the closest to u in -2, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2868 + -1528. What are the prime factors of b?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 13. Suppose 4*k - 3*k - t = 0. What is the remainder when k is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.06 + 1.56. Suppose 2*m - 14 = -64. Let t be m\/35 + -1 + 2. What is the closest to 0.1 in n, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -243257 divided by 7847?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**3\/6 - g**2 + 18*g. Determine s(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 6371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5 - 4 + 0 - l + 0*l. Let d(r) = -2*r**2 + 5*r - 5. Let q(u) = -d(u) - 5*v(u). Find j, given that q(j) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/8 + 207317\/(-3208).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5*o - 435 = -11*o - 381, -4*o + 26 = -5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*s**3 + 3555*s**2 + 90369*s + 24381 = 0.\nAnswer: -21, -3\/11, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17628 - 14707.4. What is u rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27*10\/180)\/(3*(-1)\/(-26))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, k: 10}. What is prob of sequence ke?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 1, r: 1, l: 1, o: 2, y: 1}. What is prob of picking 1 y and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47\/3 at most -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 427\nAnswer: 4\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 6 = -0*r + 3*r, 37 = -5*r + 4*q. Does 20 divide (-2247)\/(-35) - (-1)\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2864*a - 3066*a - 1818 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = l + 24, -9 = -r - 5*l + 3. Let y be 55\/r*(2 + (-12)\/(-10)). Which is greater: 26\/3 or y?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*i, -2*f - 5 = f - i. Let v be 1 - (-12)\/f*78\/(-117). Let q(n) = -n**2 - 5*n - 5. Let g(u) = -u**2 - 7*u - 8. Determine v*g(p) - 7*q(p).\nAnswer: 2*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 + (-28)\/7 - (-8)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -77 and -2?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 7\/8 (c) -2\/11 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*(-40887)\/(-3960) - -26\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*x**3\/5 + 92*x**2\/5 - 24*x\/5.\nAnswer: -4*x*(x - 3)*(7*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*(-400)\/(-120)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 4:17 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1480919 to the nearest one thousand.\nAnswer: -1481000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 615196 by -4.\nAnswer: -153799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -68.8, 1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 15*m + 2 - 44*m**2 - 3*m**3 + 13*m to v + a*m + k*m**3 + s*m**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79744887.\nAnswer: 3, 23, 601, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 8*b**2 + 24*b + 12. Calculate d(-11).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 12:36 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0003 - -3.9997. Suppose o + 6 = 2*w, w - 12 = 3*o - o. Let i be (8 + o)*2\/(-12). What is the second biggest value in l, i, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1601 + -1159. Calculate the greatest common factor of g and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - i**2 - 1. Suppose 0*j - 36 = -4*j. Let t = 5 - j. Let o(b) = -4*b**2 + 0*b**3 - 4*b**3 - 5*b**3 + 4*b**3 - 4. What is t*z(v) + o(v)?\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**4 - 3*g**4 + 13*g**4)*(-2*g - 6*g - 2*g).\nAnswer: -150*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w = -110 + 50 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-35)\/14*(-12)\/(-10) + 1577. Suppose 0 = 11*k - 5301 - m. Suppose 21*y + k = 26*y. Calculate the remainder when y is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -1978754\nAnswer: -11\/989377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 370307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 366\/(-793) - 230\/(-780).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*k**3 - k**2 + k**2.\nAnswer: 88*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*x - 2 + 0)*(x + 2*x + 18*x + (2 + 3 - 3)*(-2*x + x - x) - 3 - 2*x + 3 - x - 2*x + x).\nAnswer: 52*x**2 - 26*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = -2. Let n(w) be the first derivative of w**4\/4 - 3*w**3 + w**2 - 6*w - 10. Let r be n(9). Solve z + t*z + r = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h - 63. Let n be y(12). Let f be n\/((-6)\/30 - 0). Solve 2*u = -f + 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 929431 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*p**2*u**4 - p**2*u**3 + 10*p**2*u**2 + 3*p*u + 2*u**4 - 2 wrt u.\nAnswer: -456*p**2*u - 6*p**2 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 14 = c, 2 = i - c + 4. Let k(o) = o + 0*o + 0*o. Let p(y) = y + 1. Let z(s) = i*k(s) - p(s). What is the first derivative of z(x) wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 32*y**2 + 2*y + 3. Is m(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0102272 rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 40*o**2 - 19*o + 291. What is the lowest common multiple of n(38) and 1638?\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 290 = -133*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47551232*q**2 - 10*q**3 - 95102358*q**2 + 47551126*q**2.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-31)\/186).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 3:02 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -250*c**5 - 53*c**4 - c**2 + 4*c + 176.\nAnswer: -15000*c**2 - 1272*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2*(0 + 0\/4). Let w = -22 - -24.1. Let z = -1.9 + w. Which is the closest to 0? (a) z (b) i (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1447.146276 plus -1.54?\nAnswer: -1448.686276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -900 + 904. Which is the nearest to -0.3? (a) 0.9 (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9558491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d - 109*d + 42*d = 125*d. Solve -2*o - 5*f = 15, d = 5*o + 4*f - 16 + 45 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 minus 590?\nAnswer: -572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t**2. Let z be 6\/(-8)*(0 + 1 + -5). Let y(c) = -168*c**2 + 64*c. Let s(w) = 8*w**2 - 3*w. Let v(x) = z*y(x) + 64*s(x). What is v(g(b))?\nAnswer: 512*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31375798 divided by 44951?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/2)\/(2\/4). Suppose 4*m - 40 = -0*m. Let u(w) = -m*w - w**2 + 4 + 8*w + 2*w**2 - 2*w**2. Calculate u(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1251443 (base 6) in base 12?\nAnswer: -33b83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 12:15 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1657 - -13155\/8. Let i be (-2 - 0) + (-8)\/4. Find the common denominator of 2\/(i\/66*10) and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 + -2.9. Let f = -0.69 - -0.59. Which is the nearest to 1? (a) f (b) -2\/11 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 25, -1, 406 in increasing order.\nAnswer: -1, 3, 25, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 1 (c) 0 (d) -1954 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -881.19 + 967.9. Let p = 190 - 276. Let s = r + p. Round s to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3839997173331 - 90\nAnswer: 3839997173241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 257390276*g**4*i - 22*g*i - 40*g - 2048 wrt g?\nAnswer: 3088683312*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 3:42 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46 times 80.3?\nAnswer: 36.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 34*l - 80. Let x be j(36). Which is the closest to -1? (a) 5 (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 495\/8, -4, -14501?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 - 8*m**2 + 8*m**2)*(-23 - 18*m + 23) + (-4*m + 3*m + 2*m)*(-3*m**3 + m**3 + m**3) + m - m + m**4.\nAnswer: 72*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -13*i**2 - 49*i + 57. Let y(g) = -7*g**2 - 25*g + 29. Let r(h) = 6*d(h) - 11*y(h). Let z = 292 + -312. Let n be r(z). Solve -4*v = -n*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -29\/24*x**4 + x**2 - 9 + 0*x + 97\/60*x**5 + 0*x**3. Find the second derivative of i(l) wrt l.\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 538 or 630?\nAnswer: 538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94.763 + -0.237. Let k = -307580014.0000049 + 307580109. Let z = k + j. Round z to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3306616935 to the power of 1\/2, to the nearest integer?\nAnswer: 57503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 132, 4, 2, 2\/19, -1.8 in ascending order.\nAnswer: -1.8, 2\/19, 2\/5, 2, 4, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (175*f - 29*f**5 - 175*f)*(1 + 1 - 3) + 25*f**5 - 51*f**5 - 39*f**5.\nAnswer: -36*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*j + 4 = -16, -3*r - 5*j + 28 = 0. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*((sqrt(3) + 4)**2 + sqrt(3)).\nAnswer: -456 - 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 270300757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, x: 3, c: 1, d: 3, f: 8, k: 1}. What is prob of picking 1 u, 2 x, and 1 f?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 9*t + 2 = -5*t, -t + 8 = -5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.92 + 4. Let x = g + -0.58. Let b = -29\/3 - -10. What is the second smallest value in x, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923729 a multiple of 811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 523940 and 4420.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**4\/12 + 9*r**3\/2 - 7*r**2. Let b be s(6). Solve 5*h - 2 = -c - 17, 0 = -5*h + 3*c - b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 39.8. What is the biggest value in -2, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 607097 - -2?\nAnswer: 607099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + u**3 + u**5)*(-30 + 17 + 24) - 2*u**2 + 0*u**2 - 139*u**5 + 3 + 145*u**5.\nAnswer: 17*u**5 - 2*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*t + 4793 - 5586 = 0 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = z - 8. Let s be 401342\/180 - z\/(-10). Let g = s - 2231. What is the common denominator of 75\/22 and g?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/20 - 1)*(-1)\/2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26383*n**3 + 123*n**2 + 37524*n - 72.\nAnswer: -158298*n + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 248 = -3518. Suppose -1361 = n*v - 539*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 plus -485.9122?\nAnswer: -485.8522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-492)\/62 - (-42)\/(-651)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -103, 1\/3, -319?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 957007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is aa05 (base 14) in base 16?\nAnswer: 72dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -10, -22, -50, -100, -178, -290?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 56469.73 milliseconds?\nAnswer: 56469730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 5\/11, 60?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 13*t**2 - 2*t - 8. Let c be q(7). Let f be 40 + (-18)\/(-27)*-9. Calculate the highest common factor of c and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10508*x = 3*i - 10507*x - 10, 5*i - 45 = 4*x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.431 + -4.031. Which is the second smallest value? (a) -3\/5 (b) 3\/7 (c) -5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 59\/5 of a century?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-75)\/2*3*(-8)\/36. Let s be -4 + 280\/b - (-1)\/(-5). Solve 4*y + 4 = 4*i, -2*y + 11 + s = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6354225)\/(-87) - 4\/(-145)*(-525)\/210 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**3 + 71*k**2 - 203*k + 134. Determine z(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2 (c) -2\/3 (d) -0.1 (e) -0.2 (f) 5 (g) -1048\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 18*s**2 - 15*s - 17. Let u be m(17). Suppose -123 = -u*o + 14*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 - 1 - (-3 + (-22 - -36)) - 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 4976?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 381*z**2 + 1974*z - 35265. Calculate m(376).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -4)\/(1\/112). Let k = -72 - b. Let x = 24 + -10. What is the remainder when k is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 1. Let j be p(-3). Suppose -5*o - 28 = 2. Let d = j - o. Solve 4*q - 5*n - 3 = 22, d*n + 10 = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**3*t + 666320324*m**2*t - 2*m*t - 429*m + 67*t + 39 wrt m.\nAnswer: -6*m*t + 1332640648*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*b = -84*b + 438. Suppose b*p = 433*p + 31235. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/5)\/(g\/(g\/(((g*(g**(-2\/15)*g)\/g*g)\/g)\/g*g)*g))*(g\/g**(-1)*g)**(-13))\/((g\/g**3*g*g**(-6)\/g)\/(g**(-5\/6)*g**(-2))) assuming g is positive.\nAnswer: g**(-329\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*(0\/9)\/(-11)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**5\/60 - 5*g**4\/8 - 6*g**3 + 3062*g**2. Determine i(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(16\/(-2))*0. Solve -4*f + 8 = -2*r, r - 11 = -z*r - 3*f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93867 is divided by 18743.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*(i*i\/(i*i*(i*i\/(i*i\/(i**1*i)*i*i))\/i)*i)\/i*i*i)\/i)\/i**(-4))\/(i**4*i\/i**(2\/13)) assuming i is positive.\nAnswer: i**(41\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25120178?\nAnswer: 2, 12560089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18130)\/(-3700)*24\/14)\/((-3)\/45).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2295 + (3 + -2)*-9)*74\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31382, -31402, -31430, -31472, -31534?\nAnswer: -31622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -14*n - 126. Let z be t(-9). Let r be 211 + 3 + (4 - z - 1). What is the greatest common divisor of r and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 - 10.248.\nAnswer: 23.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*m**2 - m + 23*m**2 - 14*m**2 wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17025 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -8*j**2. Let y be (2\/(-5))\/((-16)\/40). Let i be n(y). Is 5 a factor of 9\/(-12) - 190\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/(-5 - 243\/(-48)). Suppose w - 2*n = 63, -4*n - y + 28 = 0. Let v = w - 46. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/5 - (-14)\/35. Solve -i - y*l = -3 - 5, 2*l = -2*i + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*a = 0, 0*u + 4*a = -3*u. Solve u = -0*i - 3*i + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -17*g**2 + 9*g. Let k(b) = -4*b**2 + 2*b. Suppose 2*o = 2*a + 388, 461 = 2*o - 4*a + 81. Let t be o\/(-88)*(5 + -1). Determine t*k(c) + 2*p(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201475252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, p: 1, d: 1}. Give prob of picking 1 p and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)\/((y**(2\/7)*y)\/y))\/((y*y**(4\/3))\/(y\/(y\/y**(-1)))) assuming y is positive.\nAnswer: y**(-83\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y + 5. Let p(n) = 2*n - 2. Let t be p(4). Let c be j(t). Let d = c - -37. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5864 - 5886. Sort m, 2, 1, -4, 3 in decreasing order.\nAnswer: 3, 2, 1, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13751 + -1640?\nAnswer: 12111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*m + 11, -y - 8*m + 10*m = -8. Suppose -3*k + 2*k + 10 = 0. What is the least common multiple of k and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100010220201211 (base 3) to base 4\nAnswer: 102202202101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 8*i - 4. Let d be c(6). What is the greatest common factor of 24 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from lwlwlqlllmllllml?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*f - 3*b, -5*f - 2*b = -3*f + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*m - 993*m + 17824 = 5113 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 331*t**2 - 3 + 0*t - 3 + 13*t**2. Let m be s(-2). Factor -m*k + 294*k**2 + 1682 - 68 + 1443 + k**4 - 28*k**3 - 656.\nAnswer: (k - 7)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(6*sqrt(8)*2) - ((1*sqrt(1125))\/sqrt(9))**2.\nAnswer: -125 + sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/2)\/((46\/391)\/((-1)\/(-17))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2*(10 - 2). Suppose -4*t = -88 + 72. Suppose -t*l = -3*l - 48. What is the greatest common divisor of l and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -2. Let q be 1*-6*5\/w. Let u = -4 - q. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 11:12 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72617 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l - 115. Suppose -24*o = -l*o - 20. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 - 87. Let f = 41 + -21. Let n = f + t. What is the smallest value in n, -16\/5, -0.3?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12527, 23528, 34529, 45530?\nAnswer: 56531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11675370*t + 24773727 wrt t.\nAnswer: 11675370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m + 32 - 32. Let g(z) be the third derivative of -z**4\/8 - 12*z**2. Give l(g(c)).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**7\/2520 + u**6\/120 - 13*u**5\/120 + u**4\/12 - u**2. Let h(b) be the second derivative of l(b). Does 14 divide h(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 110988 = 18*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 16 - (-142 - -150).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 - -10.142.\nAnswer: 10.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 29.3*-0.115\nAnswer: -3.3695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 30*g + 3. What is a(5)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 668 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*x + 25 - 5, 0 = 3*x + 2*z - 10. Suppose 2*p - p - 221 = x. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46 and (-633)\/60 - (-3)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.256, 0.053, -13.14, -3\/8 in increasing order.\nAnswer: -13.14, -3\/8, -0.256, 0.053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39 - 4?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - (4 + -1 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2, 4*l = -4*n + 8064. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -124*s**2. Let b(i) = -94*i**2 + 64*i - 486. Let z(r) = b(r) - m(r). What is the derivative of z(x) wrt x?\nAnswer: 60*x + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**3\/3 + r**2\/2 + 44*r - 171. Let u be a(-6). What is the closest to 2\/7 in -0.1, -3, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3585910 + 36*d**2 - 7172155 + 3586245.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 11:31 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 - -3.8. Let w = -518364 + 518360.9999965. Let a = w + b. Round a to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**4 - 12452*b**3 - 12450*b**2 + 12452*b + 12451 = 0.\nAnswer: -12451, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18916, 37835, 56754, 75673, 94592, 113511?\nAnswer: 132430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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 d = -20723565 + 455829361\/22. Let t = d - -4045. What is the common denominator of t and 4 + -1*(-180)\/(-32)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -20, 0 = 5*x - 4*a + 6*a - 587. Let y = x - 109. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/7)*(s*s**(-1\/3))\/s*(s**0)**(-7) assuming s is positive.\nAnswer: s**(-4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5977 * -0.062.\nAnswer: -370.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**3 + 20*d**2 - 5*d + 8. Let o(b) = b**3 - 5*b**2 + b - 2. Let m(p) = -18*o(p) - 4*y(p). What is the tens digit of m(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*w - 45 = 7*w, -3*x + 5*w + 33 = 0. Let t be (-4)\/x + 130\/78. Let u(b) = 7*b + 1. Determine u(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qllqqmqqgw. Give prob of sequence mqw.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2529 less than 86.019193?\nAnswer: -2442.980807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 x, and 1 z when four letters picked without replacement from {x: 4, g: 3, z: 7, s: 5}?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -749*n + 0 - 11*n**2 + 15*n + 9*n**2 - 35.\nAnswer: -2*n**2 - 734*n - 35","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 657097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (44\/14)\/(147\/(-1029))) + -10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/2 - 374115*s\/2 = 0. What is s?\nAnswer: -374115, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*g + 9 + 3, g = -2. Let m = 115 + r. What is the greatest common factor of 19 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -25. Suppose 5*p + 4*i - i = 41, -5*p + o*i = -59. Suppose -5*k + p*k = 395. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -1*(-2)\/6. Let m = 3 + -4.2. Let s = 1 + m. Which is the second biggest value? (a) q (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - v - 6. Let g be -6*v*(-4)\/(-18). Put 2, 5, g in increasing order.\nAnswer: 2, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 10048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/9*((-9)\/3)\/15.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12969 and 7755.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1463.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 294007650 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*v**2 + 203 + 23*v**2 + 128*v**2.\nAnswer: -v**2 + 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -0.25975.\nAnswer: -0.45975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 204444.16 to the nearest 100.\nAnswer: 204400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2962 - -41527\/14. What is the common denominator of 153\/42 + -6 + -3 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 6*q**2 - 9*q + 8. Suppose -3*c + r = -24, 4*r + 0 + 5 = -c. Give f(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/z**(-4\/11))*z**(5\/2))\/((z*z**9)\/(z*z**2)) assuming z is positive.\nAnswer: z**(-85\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 175169?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5166334.\nAnswer: 2, 17, 47, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**4\/n)\/n)\/((n**1\/n)\/n))\/(n**(-2\/3))**(-3\/10)*n*n**(3\/5)*((n\/n**7*n)\/n)\/n*n**(-5)*n*n\/(n*n**(-1\/10)) assuming n is positive.\nAnswer: n**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 3*a - 4 - 5*a - 2 as q + z*a and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 422049 to the power of 1\/2, to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*k + 74. Suppose 4*x = 5*h + x - 8, -5*x - 5 = 0. Let a be (h - k)*28\/48*3. Is a less than 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 14 = -v, 6 - 11 = 2*v - q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-32)*-2*3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnwynncwctn. Give prob of sequence nny.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/19))\/(x\/x**(-1)))\/((x**(7\/2)*x)\/(x**11\/x)) assuming x is positive.\nAnswer: x**(173\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**2 - 3*a - 6 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9534528*p - 2651501 wrt p.\nAnswer: -9534528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2699*q - 10792. What is z(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 8*m + 1. Let c(n) = 5*n + 21. Let o be c(-4). Give h(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-360)*-5)\/((4\/18)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -384, -5, 76\/7, -236?\nAnswer: 76\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29\/6 in 4, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 255176298 divided by -531\nAnswer: -480558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 12:27 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 - 261. Let k = h + 173. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474236 is divided by 640.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320370185 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*l = -2 + 35, t - 3*l - 3 = 0. Let f(s) = s**3 - 4*s**2 - 11*s + 6. What is the lowest common multiple of f(t) and 52?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -98\/13 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247405, 247407, 247401, 247381, 247341, 247275, 247177?\nAnswer: 247041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 470, 1051, 1864?\nAnswer: 2909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 3*y + 60, -1387*c + 1382*c = -5*y - 70 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6181 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e8 - 3?\nAnswer: 2e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 29*c. Let l(k) = -1237*k**2. What is i(l(m))?\nAnswer: -35873*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396 = -6066*a + 6054*a for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g = -56321 - 4439. Suppose g + 179 = 23*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 460*t**4 - 97229 + 97228 - 5*t - 7*t wrt t.\nAnswer: 5520*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 2:25 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/17 + 108*n**3\/17 - 1078*n**2\/17 - 516*n + 33264\/17 = 0. Calculate n.\nAnswer: -7, 3, 22, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 38*z - 9. Determine g(19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/49)\/h*h)\/h**(-27))\/(h**0*h)**(-45))**(-25) assuming h is positive.\nAnswer: h**(-88250\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 + 60. Let z = -0.2 - -0.1. Which is the third biggest value? (a) z (b) w (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 39707, 2\/161 in decreasing order.\nAnswer: 39707, 4, 2\/161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/60 - a**4\/3 - 7*a**3\/6 + 5*a**2. Let n be f(5). Let o = 32 + n. What is the lowest common multiple of 22 and o?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 2:22 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*x - 141*x**2 + 288*x**2 - 144*x**2)*(-1 + 0 + 3 + (1 - 1 - 2)*(-3 + 0 + 2) + 1 + 2 - 1 - 1 + 2 + 0)*(-3 + 2 + 0).\nAnswer: -21*x**2 - 259*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*m + 5304 = 161*m - 15*m for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -16*q**5\/5 - 4*q**3\/3 + 16. Find the third derivative of j(b) wrt b.\nAnswer: -384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + j = 0. Suppose -3 + j = 2*h - 5*u, -5*h + u - 42 = 0. Let q = -13742 - -13731. Which is bigger: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2 = 4. Let a be c*(1 - 2) - 7. Let x(b) = -b + 1. Give x(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30984881 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*26*270\/144*10*(-4)\/50.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15aaa (base 12) in base 2?\nAnswer: -111100011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from jmollooiimlmmo?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6209391 + 0.0683565\nAnswer: 6209391.0683565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*l - 72234 - 57504, 5*u = 2*l + 324345. List the prime factors of u.\nAnswer: 3, 7, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3827.916 nanograms to grams.\nAnswer: 0.000003827916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(144) - -2*sqrt(144)*-2)\/(3*sqrt(24)\/sqrt(2)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + ((-1 - -12) + -12 - 12) - 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 16) in base 10?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -181937182.882 and 7.9.\nAnswer: -181937174.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 + 88. Suppose -t*y = -154 - 46. Let j = 57 + -37. Calculate the greatest common divisor of y and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3310630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3655142.\nAnswer: 2, 307, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -271, -506, -803, -1162, -1583?\nAnswer: -2066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -23. Put 2, 4, g in descending order.\nAnswer: 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 271837\/6 and 45305 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 11 + 5*i - i - 3*i - 3*i. What are the prime factors of v(-9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 1:38 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + z - 1. Let k(g) = 5*g**2 - 5*g + 2. Let r(f) = -k(f) - 4*t(f). Suppose 6*y - 11*y + 6 = 2*s, 0 = s - 3. What is r(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 287.4.\nAnswer: 114.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/2537 and 4\/33.\nAnswer: 83721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -1. Let c be (28\/p)\/((-4)\/(-12)). Let a = 7 + c. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 + 8*m + 44*m**2 + 3*m**2.\nAnswer: 47*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, r: 4, v: 8, w: 2, x: 3}. What is prob of picking 2 x and 2 w?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.312, -0.2, 4\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -13*d - 18. Suppose 13 = x - 2*x. Let z = d - x. Which is the closest to 1\/2? (a) 3 (b) z (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20 - (3 + 1))\/((-14)\/(-259)). Let n = r - -466. Solve -l + 3*t + 0*t = -2, -3*l - 5*t - n = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -17*o + 13. Calculate the remainder when v(-5) is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54965 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 - -112. Let o be 99\/t + 2\/(-10). Let f(u) = -3*u - 6. Let p be f(-6). Solve -m + 0*z + 5*z - p = 0, -o*z + 21 = 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.9571 - 1.0429. What is the nearest to -2\/3 in 10, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (11\/(-12) + -2). Which is the closest to -2\/5? (a) 5 (b) -2\/19 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 + 8 = 137*n - 341 + 28 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/46982 and 31\/152?\nAnswer: 3570632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/32 and (114\/(-6004))\/(0 - -6)?\nAnswer: 2528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8*d + 90. Calculate j(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/8)\/(10\/(-4))*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**6\/105 - 9*g**5\/70 + 2*g**4\/3 - 12*g**3\/7 + 16*g**2\/7 + 167*g. Factor m(w).\nAnswer: 2*(w - 4)*(w - 2)**2*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10850*x - 7421*x + 18046*x.\nAnswer: -225*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 74 (c) -7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 9*l**2 - 3*l - 3. Let z be c(-4). Suppose -5*p + z = -111. Let o = -27 + p. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2436 (base 8) in base 11?\nAnswer: a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3079 (c) 1 (d) -274.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 39.0383 kilometers?\nAnswer: 3903830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 23*x**2 - 4*x - 9. Let c be j(5). Suppose 3*a = z + 488, -z + 42 = a + c. Round z to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2. Let s(j) = -30*j. Determine c(s(i)).\nAnswer: -1800*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (0 - 20) - -14?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qxxkkkqqqq.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/72 + 260\/126 - 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjs when three letters picked without replacement from sjsjjjsjwwjwwjwjww?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1908, 3811, 5708, 7557, 9316, 10943, 12396?\nAnswer: 13633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 8:42 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**4\/24 - 39*v**2. Let i(z) be the third derivative of 55*z**4\/24 - 20*z**2. Give s(i(c)).\nAnswer: -55*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*sqrt(450) - (2 + -5*(2*sqrt(18))**2).\nAnswer: -60*sqrt(2) + 358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -297 divided by 3.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.01 - 0.17. Let k = i + -0.8304. Round k to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -1 + (-2 - -3). Is 195*t*2\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1052 + 1150?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 870, 856, 846, 840, 838, 840?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51680 (base 9) to base 7.\nAnswer: -201252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 29, -4, -2 in descending order.\nAnswer: 29, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 5:01 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 30*r. Let s be b(1). Suppose 18*z = 5*z + 3*z + 1920. Suppose 5*u + s - z = -2*y, 346 = 4*y - u. What are the prime factors of y?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -38*p**3 + 26*p**2 + 12*p. Let a(w) be the first derivative of -17\/3*w**3 - 4*w**2 - 2 + 25\/4*w**4 + 0*w. Let r(n) = -8*a(n) - 5*d(n). Factor r(x).\nAnswer: -2*x*(x - 1)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w - 15. What is y(8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 170*n - 1900.\nAnswer: 2*(n - 10)*(n + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**2\/2 + 5*s + 200 = 0.\nAnswer: -8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -26, -1\/3, 0.5, 0.3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - r - 25. Let q be p(6). Which is the third smallest value? (a) q (b) 0 (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 131869820 and 0.9.\nAnswer: 131869820.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59587994 is divided by 89606.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 59*b**2*p**3 + b**2*y - 1358045*b*p**3*y + 66*b*p**3 - 2*b*p*y + 82*p**2 wrt y.\nAnswer: b**2 - 1358045*b*p**3 - 2*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 500442?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 729936896.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 101, 440, 1035, 1922, 3137, 4716?\n\"Answer: 6*f**3 + 92*f**2 + 21*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -181, -267, -351?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 7, m: 12}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -581 = -32*c - 51*c. Suppose c*z - 3*z = 2*j - 94, 3*z = 3*j - 153. Let v(k) = -k**2 + 5*k + 8. Calculate the smallest common multiple of j and v(6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d - 3. Suppose -p + 1 = 4*t - 12, 5*t = -5*p + 35. Let o(r) = 6*r + 2. Let b be (2\/6)\/(22\/198). Give b*o(z) + t*f(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**4 + 7344*l**3 - 849816*l**2 - 3487488*l - 3516912 = 0.\nAnswer: -2, 126, 2326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/2*(-5)\/2. Let m(s) = s**3 + 11*s**2 + 7*s - 22. What is the least common multiple of ((-16)\/(-20))\/(4\/70) and m(o)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -4 - 58\/2. Let k = -15 - s. Solve 4*x - k = -3*i + 1, 0 = x - 2*i + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - 2*l**3 + 3*l**2)*(13*l - 15*l + 27*l).\nAnswer: -50*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 + 4*v**2 + 2*v + 29. Calculate u(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - -4*(sqrt(19) - (sqrt(19) - (sqrt(19) + sqrt(19) + 0 + sqrt(19)))))**2 + 1 + -2*sqrt(19) + -1.\nAnswer: -2*sqrt(19) + 3211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 49 = -10. Calculate the remainder when 49 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(16\/(-6))*1. Let q(c) = -21*c - 1. Let u be q(v). Let k = -12 + u. Calculate the remainder when k is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 12*a**2 - a + 9. Let y be g(12). Let p be (164\/(-52) - y)\/((-4)\/(-8)). Is p less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 546360 and 5829?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -128 + 443. Suppose 14*l = 11*l + p. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 2 - 10. Let x(u) = 4*u + 3. Let i(z) = -9*z - 7. Calculate l*i(b) + 5*x(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/4*(-7 - -3). Suppose 4*k = -4, 2*w - j*k = 5*w + 5. Suppose 4*v - 3*y + 4 = w, y - 2 = 3*v - 2*v. Which is smaller: 3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.1 - -25.1. Let t = j - 21.99972. What is t rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 5 - (198\/8)\/(-11). Factor 0 - 1\/4*k**3 + 1\/2*k + a*k**2.\nAnswer: -k*(k - 2)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4080817ng to milligrams.\nAnswer: 0.0000004080817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289, 309, 341, 385, 441?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 3. Let l be h(-12). Suppose 5*g - 11 = l. Suppose -3*z = -5*s - 175 - 186, 5*s + 488 = g*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + k - 9. Let s be q(-3). Let j(v) = v**3 + 3*v**2 + v + 4. Determine j(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7040 and 118360?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485 = -5*c - 91*m, 0 = -15113*c + 15109*c - 5*m + 49 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 192877.\nAnswer: 192876.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/10)\/(1\/(-2)). Let v be (1275\/700)\/(3\/2 + 0). Let t = v + 2\/7. Which is the smallest value? (a) k (b) t (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -911342790*r - 84 - 4*r**3 + 84 + 911342790*r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10}. What is prob of sequence ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3\/2, -0.13, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(14)\/sqrt(2)*-3 + 4 - -1*(sqrt(63) - sqrt(126)\/sqrt(2))).\nAnswer: -3*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33077 + 13084 = -3*f - 2*v, 3*f - 19992 = -3*v. What is the smallest common multiple of 11 and f?\nAnswer: 73315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -2, 5, -38, -1\/5, 29\/33 in descending order.\nAnswer: 5, 29\/33, -1\/9, -1\/5, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-290)\/65 - 372\/(-806)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*o + 19, 5 = 12*d - 13*d. Find n, given that o + 15\/4*n**2 - 27\/4*n**4 - 9*n + 9*n**3 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - 2*a - a)*(14 - 13*a - 14) - 3*a**2 + 0*a**2 + a**2 as u*a**2 + r + g*a and give u.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1396*t - 662 + 1093 + 447 + 807 wrt t.\nAnswer: 1396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/351 - (-129)\/559.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 791 - 2372 - 5*z**3 + 8*z**3 + 786 + 5*z + 795.\nAnswer: 3*z**3 + 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8))**(-27)\/(f*f**(1\/4))**16 assuming f is positive.\nAnswer: f**196","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 5\/6*h**3 + 1\/40*h**6 - 5*h**2 + 0*h + 0 + 0*h**5 + 0*h**4. Differentiate m(n) wrt n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15 - (-204)\/(-6)) + 16. What is the second biggest value in 19\/2, -1\/4, -0.3, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/12)\/9*30*(-16)\/16?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f - 5. Determine p(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((2*(sqrt(1344) - sqrt(1344)*1) - sqrt(1344)) + sqrt(1344))\/(sqrt(175) + 2*sqrt(175)*-6)*-5)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, n: 3}. Give prob of sequence jn.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79813*b**3 - 27*b + 8*b + 49 - 4*b**2 - 51 + 79812*b**3 to s*b**3 + i + m*b + j*b**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.68796l to millilitres.\nAnswer: 75687.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 23910150.\nAnswer: -1\/4782030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(-21\/4)*m**(-5\/3)*m**(-1\/10))\/((m**0*m)**(1\/4))**32 assuming m is positive.\nAnswer: m**(-293\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.36 - 0.46. Let q = -154 - -155. What is the second smallest value in q, 15, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -69435*s**3 - 10076.\nAnswer: -208305*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 k when three letters picked without replacement from kkkkkkzzkzk.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*a - 21 = -56*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 8*q - 40. Suppose -12 = -4*i + q. Solve -5*m + i*p + 17 = 2*p, -3*m = 2*p + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.023 - -23.023. Let n = f - 21.9. Which is the nearest to 0? (a) 4 (b) 0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 7:28 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or -172065?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 57 = -87. Calculate the least common multiple of q and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 20352*y**2 - 40697*y**2 + 20347*y**2. Let v(k) = 124*k. Give f(v(x)).\nAnswer: 30752*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -160, -419, -796, -1297, -1928?\nAnswer: -2695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + ((-50)\/6 - (33 - 36)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*y + 588 = -0*y + 4*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33 and -640.4?\nAnswer: -21133.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssrzzcocvoro. What is prob of picking 1 s and 1 z?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 71*z**4\/4 - z**2 - 31. What is the second derivative of j(n) wrt n?\nAnswer: 426*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 7*h**2 + 3. Let v(a) be the third derivative of -a**5\/30 + 3*a**2. What is g(v(w))?\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 446639 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lolllollll. What is prob of picking 2 l?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4649 (base 11) in base 4?\nAnswer: -1133113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.994 rounded to one decimal place?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1573935930?\nAnswer: 2, 3, 5, 7, 991, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118 - -120. Calculate the remainder when u is divided by (-8)\/(-6) - 1\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.2. Let l = -0.45 + -0.05. Let j = l - -0.8. Which is the nearest to -1? (a) r (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f - 1. Let s be t(4). Let k(u) = -u**3 - 14*u**2 - 15*u - 8. What is the units digit of k(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 - -2.028. Let k = i - 0.62. Let q = 0.108 - k. Which is the nearest to -3? (a) 4 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 7:16 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -43. Sort -1, 5, b in descending order.\nAnswer: b, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**3 - 8*f**2 + 598*f - 28. Let n(g) = -g**3 - 3*g**2 + 197*g - 10. Calculate 8*n(w) - 3*v(w).\nAnswer: w**3 - 218*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524888619 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: Solve 53 = -142*h - 373 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.99999924 - -4. Round x to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31104342280 to the nearest 1000000.\nAnswer: -31104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 312.385 - -0.615. Let f = k + -278. Is f at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446811 to the power of 1\/2, to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/15))**(-1\/19)*f**(-15)*f*f*f**(-2\/67) assuming f is positive.\nAnswer: f**(-248939\/19095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + p**3 + 4*p + 5*p**2 + 43*p**2 + 5 - 4*p to the form y*p + x*p**2 + l*p**3 + i and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29792 divided by 1568?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23096 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -x - o, 5*o + 8 = 2*x - 19. Let u = x - 1. Solve 0 = t - n + 3, 4*t - u*n = -20 + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 3 (b) -5 (c) 0.1 (d) -2\/13 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -23*k**3 - k**2 + 2*k - 1. Let d be p(1). Let n = d + 111\/5. Let b = n - -6\/5. What is the biggest value in -0.02, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-11)*(-12366541)\/(-11131)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2378, -4712, -7046?\nAnswer: -9380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 9*s**5\/2 + 39*s**4\/2 - 15*s**3 = 0?\nAnswer: -5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8871*w + 35393. Give g(4).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - 0.75. Let k = 6.7 + -7. Let f = k + s. Which is greater: f or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/5? (a) -2\/43 (b) 3\/4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.121 minus 67?\nAnswer: -66.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6988?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hihxxxxixxhx. Give prob of picking 1 x and 2 i.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13339*i - 13389*i + 1600 = 0 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 160847\/12 - 13414. Let r = -195\/32 + 485\/224. Calculate the common denominator of r and o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*v - 11, 5*v - v + 4 = 0. Factor -z**3 + c*z**3 + 1452*z - 6*z**3 + 5*z**3 - 66*z**2 - 10648 + 0*z**3.\nAnswer: (z - 22)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 120*i + 1946. Let s be ((-183)\/1)\/(1*-1). Suppose -4*j + 225 = -s. What is the remainder when j is divided by o(-16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6368928 is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -9. Suppose 3 - 26 = r*g + 3*f, 9 = -g - 4*f. Let k = -4 - g. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42773 - -5075?\nAnswer: -36687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 184, 166, 138, 94, 28, -66, -194?\n\"Answer: -v**3 + v**2 - 14*v + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 2:36 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6247992 is divided by 62?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 8*z**2 + 2*z + 84. Let y be p(-6). Which is greater: 1\/4990 or y?\nAnswer: 1\/4990","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 10799979*j**3 + j. Let f be x(1). Suppose -3*l = -5*i - f, 2*l - 6*l + 5*i + 14399980 = 0. What is l rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c*p**6 - 39*c*p**5 + 682*c*p + 2*c - 2*p**2 wrt p?\nAnswer: -120*c*p**3 - 2340*c*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 11 = -2*f, -2*f = -5*f + 5*l - 3. Calculate the remainder when 4 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5953119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.3 and -51.\nAnswer: -47.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -12128.7 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = q + 3*x, 5825 - 5832 = -4*q + x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 135?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, k: 8, c: 7}. What is prob of sequence ck?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35398284235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1946 is divided by 74.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -67*b**2 + b + 143?\nAnswer: -134*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvrrrrrrrrrvrrrrrrrr. What is prob of sequence rr?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 c when three letters picked without replacement from ccyaaamccaaaaaacc?\nAnswer: 27\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5511394 to the power of 1\/2, to the nearest integer?\nAnswer: 2348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from {z: 1, n: 5, i: 4}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c937601 + 9?\nAnswer: -1c9375c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 1542626.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 4. Let h(n) = -3*n**2 + 2*n - 1. Let w be h(1). Let g = w + 2. Let p be y(g). Which is the smallest value? (a) 4 (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 212*s - 198*s. Solve 47 - 5 = s*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 6:39 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 34*f - 10002. Let q be o(-81). Calculate the highest common divisor of 198 and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 3 + (6 - (2 - -1)) - -20.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(2 - 5\/2). Solve 6*w - 14 = -x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24918*u + 76046 = -25494*u + 24206 for u.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -102, 6, -3 in decreasing order.\nAnswer: 53, 6, -3, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + 55\/(-45) - 97\/9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -725 - -713. Is -11 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*t**3 + 408*t + 196*t**4 - 22*t**3 + 411*t wrt t.\nAnswer: 2352*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02943*-1\nAnswer: 0.02943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, -0.02, 0, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - i = 0, -2*a + 5*a - 2*i = -37 + 36 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o + 2. Suppose 17*j = -7 + 7. Let h = j + 4. Let z(y) be the second derivative of -y**3\/2 - y**2 + 3*y. Give h*z(c) + 3*b(c).\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -713 divided by -10\nAnswer: 713\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 113*n**2 - 221*n + 34. What is the units digit of d(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21935287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 366, 722, 1076, 1428, 1778, 2126?\nAnswer: 2472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*u - 2*u - u - 2 - 15*u in the form o*u + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 5*x - 3. Suppose -9*d + 108 = -6*d. Suppose d - 3 = 3*f. Let u = 16 - f. Determine w(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 10:35 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 77*p**3\/6 - 85*p**2\/2 + 100*p + 133. Let m(w) be the first derivative of r(w). What is the derivative of m(j) wrt j?\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133647*f + 12143*f - 30964*f.\nAnswer: 114826*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 - 5*c**2 - 2*c - 6. Let w(x) = -x**2 + 6*x - 1. Let u be w(4). Suppose -3*l - 9 = 0, u = 3*t + 2*l + 1. What are the prime factors of a(t)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992404111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 99\/(-27) + 16\/4 + 6. Which is the third smallest value? (a) m (b) 3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1523 + 1615. What is the highest common factor of 24 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 12*f + 6. Let b be k(-22). Let g = b + 364. Suppose 2*x = -s + g, 1 = 2*x + 7. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyy when three letters picked without replacement from pppppypppyppyp?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + 3*g**2 - g**2 + (-12*g + 1 + 8*g - 13*g)*(7*g - 14*g + 5*g + (-2 + 0 + 0)*(-3*g + 3*g + g)).\nAnswer: 70*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 11:54 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (84\/(-7) + (-424)\/(-12))*6\/2. Calculate the greatest common factor of p and 560.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 11 + 7 = 0. Let m = b + -4. Suppose -11 = -m*o + 9. What is the remainder when o is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (138 - (-134972)\/(-984))*((1 - -4) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/2 + 26209*s + 52417\/2.\nAnswer: (s + 1)*(s + 52417)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10731 is divided by 10351.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:23 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1168*k + 5839. Let u be t(-5). Let d = 11\/60 - -1\/15. What is the closest to d in 1\/4, u, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 3*n + 73 = 0, -5*m - 70*n - 69*n + 138*n = -30 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(90\/35) + 2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -16.9. What is the closest to h in 2, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -414.0088662 to 2 dps.\nAnswer: -414.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14935, 14936, 14937, 14938, 14939?\n\"Answer: g + 14934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**7\/70 + x**6\/40 + x**5\/10 - 3*x**2 + 8*x. Let v(y) be the first derivative of l(y). Solve v(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 585, 593, 603, 615, 629, 645?\n\"Answer: z**2 + 5*z + 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*r + 3*i = -400*r + 802*r + 9, 0 = 5*r + 5*i + 45 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w + 1124 + 32572 = 0. Does 36 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 - 839 = -5*z + 4*b, 4*b = -5*z + 1045. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -1)*1 - (-165)\/5. What is the second derivative of 12*x + 10*x**2 - m*x + 4*x wrt x?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 402775, 805273, 1207771, 1610269, 2012767?\n\"Answer: 402498*m + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153*n + 745 - 745)*(2*n**2 - 4*n**2 + 0*n**2 + (3*n**2 - n**2 - 4*n**2)*(-2 - 2 + 6)).\nAnswer: -918*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -0.6. Let p = 14 - 25. Let k = p + 11.5. What is the biggest value in -4\/9, n, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 48 + 270. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 11*t**3 + t. Let i = 21 + -20. Does 10 divide s(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -37. Suppose -15390 = 10*n - g*n. Let q = n - 2423. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 0, 26, -49, -58, -23 in descending order.\nAnswer: 26, 4, 0, -2, -23, -49, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (56\/7 - 14)\/((-4)\/2). Suppose -2 = -n*r + 16. Solve -r = -2*j + 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(3\/(-3) + -8). Let u(c) = -c**3 - 8*c**2 + 9*c + 13. Let a be u(b). Let v = a - 5. Calculate the remainder when 23 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1\/2 (c) 1\/1224\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -4 (c) -2\/1821\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 362479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008766 to 6 dps.\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3233132 (base 4) to base 10.\nAnswer: 15326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 988*x = 986*x + 10. Let s = 7 + -5. Factor 6 - i**s + 4*i + x*i - 8*i.\nAnswer: -(i - 3)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**2*v**5 + 33946*r**2*v**3 + 512*r**2*v**2 - 3*r**2*v - 15 wrt v?\nAnswer: 60*r**2*v**2 + 203676*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 421166446 to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*f + f**2 + f**4 - 2*f**2 + f**3 - 13*f to the form u*f + i*f**4 + z*f**2 + o + d*f**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/((-2)\/(7 - 1)))\/1. Suppose -15 + 21 = r*u. Let f be 9\/(-18) + 5\/u. Sort 5, -5, -1, f in ascending order.\nAnswer: -5, -1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14831355.\nAnswer: 3, 5, 7, 11, 12841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 425, 624, 813, 992, 1161, 1320?\nAnswer: 1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**3 - 513*g**2 + 21672*g + 22188 = 0. What is g?\nAnswer: -1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2618712, 5237427, 7856142?\nAnswer: 10474857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -165.45 rounded to the nearest integer?\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 745 - 155. Let g = p + -303. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4308*v - 88 + 394 - 306. Let q(o) = -3*o. What is q(t(k))?\nAnswer: -12924*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(128) + 2 - sqrt(128))*-6)**2.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**2*r**2 - 2*d**2*r + 6404*d**2 - 14*d*r**2 - 14*d*r + 4*r wrt d?\nAnswer: 4*r**2 - 4*r + 12808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**6\/10 + x**4\/4 + 11*x. What is the third derivative of d(v) wrt v?\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 5. Give c(23).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 467, 1068, 1919, 3026, 4395, 6032?\nAnswer: 7943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8833 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 586*c + 404919. Calculate i(-691).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 4:53 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/107 - -223\/321. Factor -5\/3*b**2 - 1\/3*b**3 + j + 1\/3*b + b**4.\nAnswer: (b - 1)**2*(b + 1)*(3*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179948 to the power of 1\/2, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1339 is divided by 190.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*k**2 + 74*k**2 - 84*k**2)*(2 - 2 + 3) + k**2 + 2*k**2 - 2*k**2.\nAnswer: 85*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 340452 divided by -6\nAnswer: -56742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 188659903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*g + 1 + 281*g - 89*g.\nAnswer: -14*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a centimeter in millimeters?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -561624*l - 17 = -561622*l + v, -4*l - 3*v - 37 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -g + 9659, -5*l + 1915 = 7*g - 7768. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 14*u**3 + 14*u**3 - 31*u**3 + 10*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2 (c) 107\/20 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/10)\/w)**(-15\/7)\/(w**15\/(w\/(w*w**(7\/5)*w*w))) assuming w is positive.\nAnswer: w**(-1273\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 56 - 249. Let g = 94 + t. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 7*z**2 - 8*z + 15. Determine x(7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 0*o + 2\/3*o**3 - 1\/2*o**2 + 4. What is j(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -11*q + 162. Calculate p(16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.7*-320733\nAnswer: -545246.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 474*o**2 - 19*o - 1. Suppose 5*b = -0*b - 4*d + 12, 5*d + 10 = 0. Is v(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*r + 386*r + 840 = 687*r for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -163758 divided by 1114\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -15221.619 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) 3\/8 (c) -3 (d) -457 (e) -5 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -4*c. Suppose b - c*b = -29. What is the highest common factor of b and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 185777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210039 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**3 + 54*f - 54*f)*(-3*f + 6*f - 4*f) - 3*f**4 - 6*f**4 + 4*f**4.\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 + 106. Let k be 1\/((-3)\/(-9)) - m. Let p be (-2)\/(-5) + (-54)\/10. What is the nearest to k in -4, p, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 4*n - 2*n)*(n - 3*n - n - n + n + n - 4 + n + 4 + (0*n - 4*n + 5*n)*(-1 + 6 - 3) + (6 - 2 - 3)*(2*n + 3 - 3)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3 - 1085*v**2 - 28592*v - 27508 = 0. What is v?\nAnswer: -1058, -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 187906 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/38 - 405\/210.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -385472 divided by 8.\nAnswer: -48184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11*y**2 - 23*y. Let i(q) = 5*q**3 - q**2 + 5*q - 9. Let a be i(-4). Let u = 373 + a. Let w(h) = -4*h**2 + 8*h. Give u*w(v) + 3*t(v).\nAnswer: v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -2*a**2 + 158 - a**3 - 1\/4*a**4 - 6*a. Determine c(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -115\/428 + 2\/107. Let r = -2509.8 - -2760. Let b = r - 250. What is the nearest to -1 in b, j, 2\/21?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -64?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 84b (base 13) in base 11?\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/12 - -4)*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 86 (base 10) to base 2\nAnswer: 1010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9300*s**2 - 3 + 1 + 9291*s**2 + 2.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*r - 43*r + 62*r)*(4*r**2 - r**2 + r**3 + 4 + 0).\nAnswer: -33*r**4 - 99*r**3 - 132*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(-3\/5)))\/p*p**(-12)\/p)**(2\/5)*(p\/(p\/p**(-1\/2))*p*p)**(-31\/5)*(p*p**(1\/2)*p*p)**(1\/3) assuming p is positive.\nAnswer: p**(-1048\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28799853*l**3 + 17753483*l**2 wrt l.\nAnswer: 172799118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10451 + 14918. What are the prime factors of q?\nAnswer: 3, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b - 1. Let y be w(31). Solve -90*j = -y*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -4\/5*a**5 + 64*a + 8\/3*a**3 - 1 + 1\/5*a**6 - a**4 + 3*a**2. Determine j, given that m(j) = 0.\nAnswer: -1, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 100*w + 1178. Calculate s(-8).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 2)*((-3*g + 3*g - 2*g)*(-1 - 1 - 1) + 95*g + 83*g - 127*g + (g - 5*g + 5*g)*(-3 - 1 + 3) - g + 4*g - g).\nAnswer: -116*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 24*j**2 + 9*j - 91. What is g(5)?\nAnswer: 554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(5\/2)\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2204 - 2613\nAnswer: -4817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/9))**6)**(-7\/3)\/((n**10*n)\/(n*n**(4\/9)*n))**(-43) assuming n is positive.\nAnswer: n**371","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 117 + 434*y**2 - 86 - 31. Let x(k) = k**2. Calculate x(v(u)).\nAnswer: 188356*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, -15, -5, 32, -30 in increasing order.\nAnswer: -30, -15, -10, -5, -4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**4*f*k + 3*a**3*f*k + 3204070*a**3*f + 3*a**2*k + 170*a**2 - 9*a*f + 26*a - 2*f*k - 3 wrt a?\nAnswer: 24*a*f*k + 18*f*k + 19224420*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134\/259 + 91016\/1295. Let a = o + -71. Sort a, -5, 1\/13 in decreasing order.\nAnswer: 1\/13, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3 + 2 - 5*l**2 + l - 3*l - 3. Let y be w(1). Let h be 1 - 1 - (-4)\/(-6). Which is the biggest value? (a) h (b) 3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 421, 833, 1235, 1621, 1985, 2321, 2623, 2885?\nAnswer: 3101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h - 3*h)*(148*h + 14569 - 14569).\nAnswer: -296*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3403438*(-3)\/12*2. Let a = 1001719 - n. What is a rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 13050*r**2 - 262332*r - 576840.\nAnswer: 3*(r - 22)*(r + 2)*(r + 4370)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 20.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/(-442)*10\/60. Let i = -8028\/2431 - a. What is the common denominator of i and (-1)\/(-8)*(-246)\/9?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l. Let f(j) be the first derivative of -j**5\/20 + 7*j**2 + 1. Let a(w) be the second derivative of f(w). Determine c(a(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3190 - 417886\/131. Let x be (-1)\/(-262)*5382\/15. Let m = x + i. Calculate the common denominator of 44 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.179 times 2.818?\nAnswer: -0.504422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -375 divided by -2\nAnswer: 375\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 6*g**2 + 7*g - 2. Suppose 5*w - 12 = -2*c - 7, -4*c + w = -21. Calculate u(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -98, 29, -874, 0 in decreasing order.\nAnswer: 29, 0, -2, -98, -874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 18. Suppose -q*n = 2 - 50. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3152084 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1868 is divided by 186.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142172 is divided by 3306.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21112285577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 526, 236, -264, -986, -1942, -3144, -4604, -6334?\nAnswer: -8346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 + 2*v**2 - 7*v**2 + (-4*v + 0 + 0)*(-6*v + 2*v + 5*v) - v**2 + 0 + 0 in the form s*v**2 + f*v + u and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -25. Let g be -1 + r + (-1 - -1). Let z = -6 + 23. Solve 0 = -3*c - 7*i + 6*i + z, -g = -2*c - 2*i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10210 + -2?\nAnswer: -10212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 10 = -2*w, -6*w - 3*p = -w - 9. Suppose w*u = u + 36. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 7. Let c be t(9). Let x = c + 5. Solve -2*o = -4*g - 4, -g - 3 = x*o - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*j + 77 + 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2565 = -9*h + 2772. Solve 4*n + 4*b = -21 - 15, 3*b = -2*n - h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 46.5664775 and -1083.\nAnswer: -1036.4335225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (l**2 + l - l)*(-17 + 12 - 11)*(-2*l - l + 2*l) as w*l**3 + i*l + h + r*l**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p = 11*p - 14*p - 63 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g = 0. Suppose -148 = -o - g*o. Suppose -3*m - m = -o. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 6:26 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 368, 3242, 11164, 26660, 52256, 90478?\n\"Answer: 421*l**3 - 2*l**2 - 67*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -21\/8, -4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11d8a (base 14) in base 8?\nAnswer: 125466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/((106\/(-159))\/((-32)\/(-36)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11*i**2 + 7*i + 58. Let a(s) = -5*s**2 - 3*s - 27. What is -13*a(c) - 6*h(c)?\nAnswer: -c**2 - 3*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 10:35 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -44047819 <= -44047819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -172, -193, -234, -301, -400, -537?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-106)\/(-5))\/((49\/(-35))\/(-7)). Let c be h\/8 + 6\/8. Let x(r) = 3*r**3 + r**2 - 1. Let j be x(1). Solve -5 = -l, 3*l - c = j*s - l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -40. Let o(z) = 217*z**2 - 2*z - 1. What are the prime factors of o(p)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-246*s**3 + 144*s - 144*s)*(159*s + 0 - 3 + 1 - 69*s).\nAnswer: -22140*s**4 + 492*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 8*q**2 + q + 8. Let m be x(-8). Suppose m = -10*j + 5*j - 35. Let b(k) = -k**3 - 6*k**2 - 7*k - 7. Does 18 divide b(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z + 42. Let l be h(7). Suppose -3*p - 5 + 56 = l. Let x(g) = 10 + g - p + 15. Let t(a) = -2*a**2. Give t(x(d)).\nAnswer: -2*d**2 - 32*d - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4531031*m**5 + 640*m**2 - 1200.\nAnswer: 271861860*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 + 70. Is u at most 2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773623177 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/810*5*-6. Let u be (4\/(-6))\/(4\/(-6)). Is u greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, t: 2}. Give prob of sequence mmt.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 0.70385.\nAnswer: 3.70385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61358378?\nAnswer: 2, 211, 145399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 9. Let g(s) = -s - 8. Give 6*g(j) + 5*q(j).\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -11*c**3 + 9*c**2 + 4*c - 2. Let t(i) = 0*i**2 + 22*i + 0*i**2 + 27*i + 4*i**2 - 47*i - 1 - 5*i**3. Calculate -4*o(s) + 9*t(s).\nAnswer: -s**3 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -5498 + 5497. Let n(o) = -1. Let q(y) = -50*y**2 - 6. Determine u*q(z) + 6*n(z).\nAnswer: 50*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 2 - 3 + 20*h**2.\nAnswer: 20*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 173355 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 53, 106, 159, 212, 265, 318?\n\"Answer: 53*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -11 - 5. Suppose -2*d + l = -0. Solve -o - d*o = 5*c - 13, -3*c = 3*o - 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28203 is divided by 57?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6+-1.4698\nAnswer: -7.4698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -10, 5, -5 in descending order.\nAnswer: 5, -5, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = a + 5*g, 3*a - 4*a - 4*g - 19 = 0. Is 2\/59 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/673 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r)**(5\/7)\/(r**(2\/3)*r)**(-2\/39)*(r**1)**32*(r*(r*r**6)\/r)\/((r**(-2)\/r)\/r*r) assuming r is positive.\nAnswer: r**(4924\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1*((-477)\/36)\/(-53))\/((-41)\/(-5494))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 352958 and 261602.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1.7, -4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + o**2 - o. Let f(v) = -4*v**3 + 6*v**2 - 13*v. Let b(u) = f(u) - 6*s(u). Find the second derivative of b(t) wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331 (base 10) to base 16.\nAnswer: 14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151002449 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/19348?\nAnswer: -3\/19348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(45) + -5 + sqrt(5) + (sqrt(500) - sqrt(500)*2) - ((sqrt(605)*1)\/sqrt(11) - sqrt(55))\/sqrt(11)*-1)**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1218099 - 153873779.\nAnswer: -155091878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 8*s**2 - 20*s + 194. Let a be i(7). Solve 4*w = -8, 0 = -7*z + 4*z - a*w + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 2423?\nAnswer: -24.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/203 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 24*f**7\/7 - f**3\/3 + 7. Find the third derivative of q(a) wrt a.\nAnswer: 2880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 11, h: 2}. What is prob of picking 2 m?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3411 - 3406. Put -3.5, -5.6, w in ascending order.\nAnswer: -5.6, -3.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 32cc - -2?\nAnswer: 3301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4 = -118*p + 116*p, 0 = -4*q + 4*p - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137865 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -929 + 1990. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/13 + 104\/676 + 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -20, -54, -114, -206, -336?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -29*w - 2. Let q be t(-2). Let x be (-2)\/(-2)*-1 + 1. Suppose x*r = -2*r + q. What is the greatest common divisor of 42 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 578 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5 - 196*i**4 - 5912*i**3 - 46064*i**2 + 261632*i - 288512 = 0.\nAnswer: -46, -28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8939 + -8860. What is the remainder when q is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 993379551098 less than -32?\nAnswer: -993379551130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45442191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5211394600 rounded to the nearest one million?\nAnswer: 5211000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2 - 5*m**2 + 4*m**2 - 3*m**3 - 5*m + 5*m**2 + m. Let c(f) = 2*f**3 + 0*f**3 - 2 - 3*f**2 + 4*f - f + 0*f. Calculate -4*c(h) - 3*s(h).\nAnswer: h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1858*g + 737 + 24902 = -15237 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-5 + 6*sqrt(275) - (-1 + sqrt(275))*6) + -5)*-1*-5)**2.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**5 + 235308*b**4 + 29689224*b**3 + 1360657832*b**2 + 26468744316*b + 179168778540 = 0. What is b?\nAnswer: -37, -15, 58953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 13) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12954 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:14 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3589552 divided by -897388\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 125\/25*4\/5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 51\/2. Let s be (-6 + (13 - -1))\/(6 + 14). Let o = -0.5 - -1.5. Which is the closest to o? (a) s (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 4*j + 4*j + (1 - 1 + 2)*(4*j - j - j) + 0*j - 3*j + 2*j - 5*j + 2*j + j + (4*j - 4*j - j)*(67 + 19 - 1)*(-2 + 1 - 1) + (-j + 2*j + j)*(7 - 3 - 3).\nAnswer: 174*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 30 = 3*b - 2*x, 2*b + 5*x + 9 = 0 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(5\/2))\/t)\/((t*t\/((t**(-4\/5)\/t)\/t))\/t))**(-36\/5) assuming t is positive.\nAnswer: t**(234\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -64*m**3 - 283*m**2 + 3. Let l(v) = -89*v**3 - 284*v**2 + 4. Give -4*f(r) + 3*l(r).\nAnswer: -11*r**3 + 280*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4215 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*i + 15. What is the third derivative of -9*o**i - 2*o**2 + 3*o**2 + 3*o**5 + 5*o**2 wrt o?\nAnswer: -360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.9. Let q be 128\/(-55) + -1 + 3. Let x = 8\/11 + q. What is the nearest to 0 in d, x, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**3\/6 + u**2\/2 + 5*u. Let q(k) = -k**3 + k - 2. Let h(s) = -q(s) + w(s). Differentiate h(o) with respect to o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 5*o**3\/3 + 85*o**2 - 175*o + 90. Factor h(d).\nAnswer: 5*(d - 1)*(d + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(6 - 5 - 14)*(-2*c**3 + 5*c**3 - 4*c**3).\nAnswer: 26*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**16\/(v*v\/(v**1*v)) assuming v is positive.\nAnswer: v**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2700 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*(sqrt(11) + 3 + 2 - (-3 + sqrt(11)*4)))**2.\nAnswer: -1200*sqrt(11) + 4075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, v: 1, o: 1, q: 1, c: 1}. What is prob of sequence yq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5 = 5*g, d - 2*g + 5 = 3*g. Find the third derivative of -38*n**2 - 2*n**5 + 83*n**2 + 29*n**d wrt n.\nAnswer: 1620*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15 + 0*o**3 + 15*o**2 - o**3 - 79 - 89*o**2 + 0*o**3 wrt o.\nAnswer: -3*o**2 - 148*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38\/9, -2, 2\/9, 2, -1, -2\/5 in decreasing order.\nAnswer: 2, 2\/9, -2\/5, -1, -2, -38\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1978224630 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttlttttttttllltt. What is prob of sequence tllt?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 12*f + 40. Let i = f + 10. Solve -2*s = i*y - 9, y - 19 = -5*s - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 119*w**3 + 12*w**2 + 139*w + 128. What is s(-1)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*j**5 - 2*j**5 + 3*j**5 + (-4*j**5 + j**5 + j**5)*(-2 - 1 + 2) - j**5 + 3*j**5 + 0*j**5.\nAnswer: 17*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26050341 + -0.1005?\nAnswer: 26050340.8995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/2419 - -96769\/7257. Let n(v) = 4*v**2 - 2*v. Let t be n(3). Suppose -2*u - t = -4*u - 3*p, -p - 34 = -3*u. Is g greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 99.30355 litres?\nAnswer: 99303.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-20))\/(1806\/102340)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-8715))\/(27\/((-243)\/(-12))*(-18)\/(-40))?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (914\/156 - (-15)\/(-9)) + -7 and (-1)\/(-3) - 217\/(-24).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrf when four letters picked without replacement from {f: 7, x: 3, r: 3}.\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 643 + -98. Let s = d + -2729\/5. What is the second biggest value in s, -1, 12, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - sqrt(225)\/sqrt(5) - (sqrt(180)*2 + sqrt(5)))**2 + -6*(sqrt(10)\/sqrt(50))**2)*6.\nAnswer: 25314\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*r - 2*r. Let j be ((-1 - r)*1)\/(12\/(-60)). Let c be j - (-3 + (-3)\/9*-3). Calculate the highest common divisor of c and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36001985?\nAnswer: 5, 7200397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 47?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1180)\/(-1062) - 221410\/9. Round x to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106 - (-16 - (-63356)\/(-704))\nAnswer: -1\/176","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 0)*(-126*x + 48*x + 12*x).\nAnswer: 198*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*v - 122*v - 5*i = 30, -6 = 4*v - 5*i. Let b(f) = 21*f + 3. Give b(v).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 2\/13, 1\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 105*i - 132*i - 108 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22.86 times -4\nAnswer: 91.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -4. Let r = 2 + l. Suppose -4*u + r*u = -5. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9429 divided by -3143?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**3\/6 + h. Let s(t) = 4*t. Let k be (-7 + 8)\/(2\/6). Let u(w) = w. Let i(x) = k*s(x) - 15*u(x). What is i(d(j))?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2160 and 2652?\nAnswer: 477360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5727704517?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 4 (b) 0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 9554220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*y = 2732 - 41 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 13. Let y = -20.1 + s. Let q = 5.021 + -0.021. Which is the biggest value? (a) y (b) -0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4262567 is divided by 473618?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*0*(1 - 2). Suppose -l + 2*l - 1 = x. Suppose -v - l = -6. Solve v*k + 15 = 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y - 56. What are the prime factors of x(10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1755469, -3510920, -5266371?\n\"Answer: -1755451*b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -i - 7, -2*i + z - 455 + 451 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -4 - (13 + -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.5, 1, 72?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 400898 to the power of 1\/2, to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2 - 2054*b + 4100 = 0. Calculate b.\nAnswer: 2, 1025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**3*t - 247721*k**3 + 90*k*t - 7*k - 6*t + 6 wrt k.\nAnswer: 12*k*t - 1486326*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 26. Suppose 5*o - 20 = -2*p, -o - 2*p = m*p + 19. Find the third derivative of -10*b**2 + 7*b**6 - 11*b**6 - o*b**6 wrt b.\nAnswer: -1200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 968 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -457 - -3655\/8. What is the second biggest value in -2\/13, w, 4\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 1, v: 1, p: 1, i: 1}. Give prob of sequence vf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 22689*l - 521838. Determine v(23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a**4 - 11*a**4 + 2 + 9*a**4 + (29*a + 2*a + 2*a)*((2*a + 2 - 2)*(-3*a**2 - a**2 + 2*a**2) - 3*a**3 - a**3 + 3*a**3 - 2 - 4*a**3 + 2).\nAnswer: -291*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htjhh. Give prob of sequence jhh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -27*o. Let x(j) = 10*j. Let l(h) = 8*x(h) + 3*y(h). Let r(t) be the third derivative of -127*t**4\/6 - 3*t**2. Determine l(r(q)).\nAnswer: 508*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 7*h**2 - 14*h + 18. Does 27 divide m(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -11*k**2 + 111*k + 131. Let j(d) = 3*d**2 - 28*d - 33. Let c(w) = -9*j(w) - 2*n(w). Factor c(l).\nAnswer: -5*(l - 7)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2) - 10\/(-4). Let l(g) = g**2 + 16*g - 18. Let p be l(-17). Let q be 3 - 6 - -2 - p\/1. Solve -d = n - q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 51.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8625*y - 17509 = -4*d + 8624*y, -13152 = -3*d - 3*y. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 14 + 8)*(-b**2 - 4 + 4)*(4 - 4 + 3305*b - 3016*b).\nAnswer: -3179*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from ppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 322723 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7179 or -1?\nAnswer: 2\/7179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -91252 + -24?\nAnswer: -91276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1\/4 (b) 1 (c) 4 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 201145633?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-35))\/(9\/15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by -3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1124456055.\nAnswer: 3, 5, 6131, 12227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -11356912 and -11356918 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31\/(-2)*(-8 - -6) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461660 is divided by 126.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2. Let x be (-217426)\/109725*-7 + -14 - 2\/(-15). Which is greater: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 145*g. Let a(h) = 2*h - 371320. Determine t(a(j)).\nAnswer: 290*j - 53841400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 1, 60 in ascending order.\nAnswer: -5, 1, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445*f - 27*f + 5794 = -184*f + 62382 for f.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2155, -4321, -6501, -8701, -10927?\nAnswer: -13185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89087041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -20*y**3 + 41*y**2 + 7*y - 13. Let w be a(2). Factor 0*t - 10\/9*t**3 + 0 + 2\/9*t**w - 2\/3*t**2 - 2\/9*t**4.\nAnswer: 2*t**2*(t - 3)*(t + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -11 - 21. Suppose -j*r + 1 = -7*r. Let y = -2\/569 + 1168\/8535. Is r greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**3\/6 + 4*b + 8. Let y(t) be the first derivative of n(t). Let z(l) = 2*l**2 - 16*l. Calculate z(y(j)).\nAnswer: 2*j**2 - 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 857.7602ml?\nAnswer: 0.8577602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13358 + -1281?\nAnswer: 12087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -232 divided by -73\nAnswer: 232\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -7. Solve n*x + 12 = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77452a (base 11) to base 2\nAnswer: -100101101101101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -95*v**3 + 7*v - 64. Let g(b) = 190*b**3 - 13*b + 129. Let u(m) = 3*g(m) + 5*l(m). Find the second derivative of u(c) wrt c.\nAnswer: 570*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 26) + 11 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 1:22 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i + 2*s + 364 = 25*i, -6 = -2*s. What is the greatest common divisor of 37 and i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 22. Let t = -63 + 60.1. Let p = r + t. Which is the second smallest value? (a) p (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -10547\nAnswer: -1054.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.587189ng?\nAnswer: 0.002587189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20.76, -1\/7, -96?\nAnswer: 20.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113 + 177. What is the remainder when g is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39.4 times 0.07\nAnswer: -2.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 2*n + 0*n + 208*n**2.\nAnswer: 208*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.025 and -18.9.\nAnswer: 0.4725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-2)\/4 + -1. Let y = -31 - -31. Suppose -1 = 2*w - 13. Solve y*t - 2*t + w = 2*u, -4*u + 2*t + 6 = h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41865067 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4006 (base 15) to base 12.\nAnswer: 7996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37378 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -17*b**6\/30 - 11*b**3\/6 - 11*b. Find the second derivative of z(t) wrt t.\nAnswer: -204*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07032644023 rounded to five dps?\nAnswer: -0.07033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/48 and -21\/2776?\nAnswer: 16656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000701 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3873 is divided by 3581.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from {i: 4, w: 5, k: 10}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18001*h + 23953?\nAnswer: -18001","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -3\/19, -0.5, 0.3 in ascending order.\nAnswer: -0.5, -3\/19, 1\/6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 9*f + 512. Does 63 divide a(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.51 + 1.41. Which is the third smallest value? (a) 1 (b) -7 (c) 8 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**4\/2 + 633*g**3 + 2523*g**2\/2 + 630*g = 0. What is g?\nAnswer: -420, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 - 362\/5. Suppose -3*d = 2*u + 8, 5*d + 3 = -4*u - 11. Let i = u - -4. Are r and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1377)*-3 + -2)*6)**2.\nAnswer: 3888*sqrt(17) + 446292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -3, 2301, 16, 5 in descending order.\nAnswer: 2301, 16, 5, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpcdccd. What is prob of sequence dd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/10 and 10\/27797?\nAnswer: 277970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -77096\/135 > -570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 33412.554 and -0.2.\nAnswer: 33412.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 smaller than -288\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 67*n**2 - 256*n + 3. Let x(q) = -45*q**2 + 171*q - 1. Let g(c) = 5*u(c) + 7*x(c). Is g(8) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + 3*m + 2468 = 0, 4*m = -5*l + 2461. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132397, 132399, 132401, 132403, 132405?\nAnswer: 132407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7 minus -643362?\nAnswer: 643356.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 82*m - 134. Determine j(83).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**2 + 404097*x + 10504494 = 0. What is x?\nAnswer: -134673, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-2)*(0 - (-8)\/(-10)). Suppose 0 = t - g - 57. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 m when four letters picked without replacement from momomoouomoou?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3208 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 7) in base 12?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 1299 = 1371 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + 1. Suppose -4*p = -2*o - 6, -5*p + 3*p = 3*o - h. Solve -i - o = k, k + 10 = -k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*d - 692 = 30*d - 123*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*n + g, 235*n = 234*n - 5*g + 2. Solve 2*y = 7*y + 2*x - 12, 0 = -n*y + x + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 5533?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 - -127. Suppose -v*s = -26*s + 12. Solve s*t = 5*t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 894*h**2 - 2 + 1785*h**2 + 2 - 883*h**2.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11448 and 432?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4742*z + 1831*z = 1828*z - 279601 for z.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 43*t**2 + 84*t + 125. List the prime factors of d(41).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 10 = -5*y, 0*y = 2*v + 3*y - 4. Suppose -13 = v*k - 43. Suppose 23 = 13*u - 94. Calculate the remainder when k is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3827460 divided by -6\nAnswer: -637910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 84129715 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3411*b - 3363*b - 48. Let z(k) = -14*k - 7. Let n(p) = -p + 1. What is b*z(t) + 6*n(t)?\nAnswer: -20*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 53\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124)\/72*(-10422)\/579?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 5*n**2 + 7*n - 3. Let w be y(6). Let b(k) = -k**3 + 3*k**3 + 5*k**2 - k**3 + w*k. Let m be b(-4). Put 5, m, -3 in descending order.\nAnswer: 5, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**14*t)\/(t*t*t\/t**(-21)*t*t*t)*(t\/(t*t*t*t*t**6\/t*t*t*t))\/t**(2\/17) assuming t is positive.\nAnswer: t**(-359\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12331, 23858, 35385?\n\"Answer: 11527*f + 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 3*w + 13. Calculate the lowest common multiple of (-1)\/3 + (-25)\/(-3) and k(-4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auuuucuuuuuibuauui. Give prob of sequence iica.\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 3*m**2 - 33*m + 108. Let i be d(5). Let p(a) be the third derivative of a**6\/120 + 7*a**5\/60 - a**4\/12 - 4*a**3\/3 + 2*a**2. Calculate p(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900)*1)\/(sqrt(20)*-5).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 309 - 424. Let y be (82\/3)\/(1\/(-3)). Let z = y - j. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-14) + 11\/77 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -5. Let n be (-5)\/(-2)*(p + 5). Let d = n + -1. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2054 - 55475\/27. Let u = m - 1\/27. Let j = 0.066 + -4.066. Which is the third smallest value? (a) -2 (b) u (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19674668 and 415662.\nAnswer: 59024004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -986?\nAnswer: -988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 491*c**3 - 4*c**2 + 0*c - 500*c**3 + 4*c**2.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - f)*(-6*f - 15 + 15)*(-4 + 0 + 3)*(-4*f**3 - 5*f**3 + 3*f**3).\nAnswer: 36*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 42, 62, 2\/5, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6))\/(3\/(-27)). Suppose 5*h = s*h + 2. Suppose -5*b - 2*k = -0*b - 7, k = h. Calculate the greatest common factor of b and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -183, -399, -689, -1047, -1467, -1943, -2469?\nAnswer: -3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -58*o. Let l(a) = -115489*a. What is i(l(b))?\nAnswer: 6698362*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y - 22*y = 25*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 32*g + 14. Give x(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18917 = -3*n + 4*i, 0 = 19*i - 15*i + 20. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -9. Suppose 0 = -p*l + l + 40. Suppose -2*x = -l, -3*x = -3*z - x - 4. Solve 5*m + 15 = -2*h, z*h + 0*m - 6 = 2*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + 45. Let d = -17 + 17. Suppose d = -0*k - 4*k + m. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j + 5 = 5*g, 5 = 5*j - g. Suppose -5 = -2*c + j. Suppose -c*i + 0 = 15. Put 5, i, -1 in descending order.\nAnswer: 5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((13 - 46) + 37)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 3\/56 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 1. Suppose -a = -6*t + t. Sort -3, t, -5.\nAnswer: -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*m**4 - 26029*m**3 + 194*m**2 - 54679471 wrt m.\nAnswer: 16*m**3 - 78087*m**2 + 388*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -132230 (base 4) in base 16?\nAnswer: -7ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 0 - 2 + 4*j**3 - 5*j**3 - 3*j + 6*j**2. Let n(d) = d + 4. Let m be n(3). Let z = 12 - m. What is i(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116665 + 24046?\nAnswer: -62616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k - 39*k + 18*k + 10*k**2.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 31*b**2 + 89*b - 15. Let w be l(3). Solve -19 = q + 2*v - 18, w = -4*v - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-20) - 1\/(25\/290). Which is the nearest to n? (a) 5\/2 (b) -1\/3 (c) -0.3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sydd when four letters picked without replacement from {d: 9, y: 7, s: 2}?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 5*m**2 + 13*m + 4. Let o be a(-7). Solve 9*f = o*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290217 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 421 + 353. Calculate the greatest common divisor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 2 - 2)*(4 + 1 + 0).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.9 + -0.9. Let p = 5 - w. Which is the second biggest value? (a) 3 (b) p (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*l + 15. Let a = l + 8. Let y = a + 2. Calculate the remainder when 24 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/((b**(-5\/7)\/b)\/b)*b))\/(b\/b**(-7\/2))*(b**(-3\/4))**9 assuming b is positive.\nAnswer: b**(-391\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 45?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*t - 3. Suppose -7*m + 94 = -32. Solve -t*o - i - 10 = 0, 0 = 5*o + i + 2*i + m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 13, -0.1 in ascending order.\nAnswer: -2\/3, -0.1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4833?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3771956, -7543910, -11315864?\nAnswer: -15087818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011201 (base 3) in base 15?\nAnswer: -70a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + x. Let a be k(-1). Suppose 4*b - g - 49 = a, 0*b - 2*b - 4*g + 20 = 0. What is the remainder when 166 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8*(-45)\/18)\/(-6)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -205 and -14041910475.\nAnswer: -14041910680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*d**3 - 3*d**2 + 42*d**2 - 211 + 27*d**3 + 277*d + 49*d + 715.\nAnswer: (d + 2)*(d + 9)*(d + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -121685902*a**5 + 157425*a + 710 wrt a.\nAnswer: -2433718040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 9*n**2 - 9 + 13)*(-3*n - 4*n + 5*n)*(386*n + 396*n - 176*n) in the form t*n**2 + f*n**3 + y*n + i + z*n**4 and give t.\nAnswer: -1212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 3*z - 20. Let k be n(7). Let m = k + 6. What is the first derivative of -7 + 4*x**2 + 28 - m wrt x?\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 12:55 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thtttttttttt. Give prob of sequence ht.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6057, 5, 0, -538, 1 in increasing order.\nAnswer: -538, -1, 0, 1, 5, 6057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-6))\/(8\/36). Let u be -1*x\/3*1. Is -2 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 276 + 84. Suppose -13*i + z = -i. Solve 3*x = -4*l - 6, 3*x = -0 - i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/9 (b) 3 (c) 0.4 (d) -95 (e) -3 (f) -26\/383 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 5. Let z be l(7). Let h(m) = m**3 - 2*m**2 - 2*m + 2. Let d(u) = u**3 + u**2 - 1. Calculate z*d(j) + h(j).\nAnswer: 3*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/6 (b) 3\/4 (c) -748 (d) -6\/47 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 106474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7*f = -4*d - 9, 0 = f + 2*d - 13. Let h = -7 - -5. What is the second smallest value in h, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 7*c + 204 = -3*c, 5*q = 4*c + 282. Calculate the lowest common multiple of q and 21.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97.3878 - 0.0122. Let j = y - -107.79. Let o = j + -10. Round o to 2 dps.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 33*x = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -549, -1097, -1645, -2193?\nAnswer: -2741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v + 70 = o, 3*o = 5*v - 96. Is 17 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.37 - 0.03. Let w = 1.9 + -2. Let d be -3*(-28)\/20 - 4. Which is the third biggest value? (a) k (b) d (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 9*s - 14 - 1\/4*s**4 + 5\/3*s**3 + 5\/2*s**2. Let p be w(6). Solve -v = p*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -627954 - -4?\nAnswer: -627950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326466 divided by -7.\nAnswer: -46638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.799691 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 9 + 5. Let o(x) = -x**2 + 7*x + 3. Let v be o(f). Solve 2*y = -v*z + y + 17, -3*z = 2*y - 22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/6*-2*10\/(-35). Sort -2\/3, y, 0.2, -0.2 in ascending order.\nAnswer: -2\/3, y, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0262 + 0.1184. What is g rounded to three decimal places?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 2. Suppose 2*o = 3*u + u - 6, 3 = 5*u - 4*o. Suppose 2*m = -2 + 12. Let b = u - m. Give t(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8637348?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j**3 - 8*j**3 + 175*j**2 + 21*j - 208*j**2 + 41. Let b be z(-17). Which is greater: b or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 17*f**2 - f + 20. Let p be s(17). Suppose 5*t - 296500025 = 5*r, -7*t - r = -p*t - 237199995. Round t to the nearest 1000000.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3584551 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: Three letters picked without replacement from eyyetkpkkkekepey. Give prob of sequence kkp.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 840817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 0 - 343\/2*k**2 + 49\/2*k**3 - 7\/4*k**4 + 1\/20*k**5 - 17*k. Let l(q) = 0. Calculate q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16830)\/8316 + (-12)\/(-14).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrreeereeee. What is prob of picking 4 r?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 + 89841282*w**3 + 896828498939016*w**2 + 2984157369765382846560*w + 5968311152217488667264.\nAnswer: 3*(w + 2)*(w + 9982364)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10832421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 2*q - 2. Let m be r(2). Let u be -6*(-1)\/m + 1. Which is the biggest value? (a) u (b) -2 (c) -0.07 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3209 = -4*v + 3129. Which is smaller: v or 0.09?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c - 51450 = -984*c + 278*c for c.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 2\/((-4)\/(-2)). Suppose 0 = 4*s + w*o + 12, -2*s + 4*o + 2 + 2 = 0. Let n be ((-9)\/6)\/(-3)*s. Is -3\/7 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-25)\/c*c*c\/(((c*c*c**(-1\/17)*c)\/c*c)\/c)*(c\/(c\/(c*c**30))*c)\/(c*(c*c\/(c\/(c**(1\/31)*c)*c)*c)\/c))**(-29\/5) assuming c is positive.\nAnswer: c**(-61538\/2635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3376*n - 192280. Calculate w(57).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -475356005 divided by -5\nAnswer: 95071201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 36 (b) -77140 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**3 + 220*t**2 + 1 + 3*t**3 - 225*t**2 - 2*t**3 to the form n + j*t**3 + o*t**2 + m*t and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-3 - (0 + 2 + -4)). Solve 6*x - 8*x - 6 = h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140740586 - 76198586. Round w to the nearest one hundred thousand.\nAnswer: 64500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 1:03 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**3 + 496*v**2 - 20*v - 25*v + 3 + 41*v.\nAnswer: 8*v**3 + 496*v**2 - 4*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 + -54. Let j(i) = 2*i - i - 4*i. Let r(u) = 8 + 5 + 3*u - 13. What is k*j(a) + 3*r(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85307\/33 - 2585. Which is the smallest value? (a) 1\/4 (b) -2 (c) j (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/65052 and -62\/43875.\nAnswer: 24394500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7560407 + 2?\nAnswer: 7560411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 - 1120\/192.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -118017 and 3?\nAnswer: -354051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -476 - -228. Let c = 251 + a. Let w(n) = -12*n - 3. What is w(c)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -200 - -13320320020?\nAnswer: 13320314320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 - 1 - (10 + 68\/(-4)))*(-1)\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-87 - 103 - 72)*(4*m + 2*m - 4*m) - 2*m - 2*m + 3*m + (-3 + 3 - 2)*(m - 2*m + 4*m) in the form w*m + h and give w.\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89545 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*(1 + sqrt(425)*2)**2 + -1*sqrt(425)*-1 + 0).\nAnswer: 100*sqrt(17) + 6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*d = -210*d - 3*z - 11, -5*d - 10 = 3*z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 8) to base 13\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 + 5*x**2 + 6*x**2)*(-x + 2 - 2) + (-1 - x + 1)*(-3*x**2 + 0*x**2 + 2*x**2) as h + a*x**3 + b*x + s*x**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 (base 10) in base 9?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(4\/7)*y)\/y**7)\/(y*y**(1\/3)*y)**48)\/(y**9*y*y*((y*y*(y\/y**(-15))\/y*y*y*y)\/y)\/y*y*y*y)**(1\/12) assuming y is positive.\nAnswer: y**(-2522\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 1657990.\nAnswer: 6631960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14100.8 - 14101. Which is the second biggest value? (a) s (b) 0.66 (c) -0.1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -642?\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + -1 + (-1 - -1). Let a(w) = -w - 1. Let k be a(s). Does 10 divide 27\/2 - 1\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j + j + (-2 + 0 + 3)*(4*j - 3*j - 2*j) - 3*j - 3*j + 5*j)*(-5*j**4 - 6 + 6).\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1)\/(((-15)\/(-3))\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p - 18*p = 2*i + 336, -i = 0. What is the highest common divisor of p and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 divided by -36.\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*n = 43 + 142, 4*k - 4*n = 180. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5543 = 3*u - 1122, -u - 16705 = -5*p. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by -1 + 3\/5 - 5328\/(-120).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -4 + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by 161?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -2\/3, -2, 55.\nAnswer: -2, -2\/3, 55, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 16484282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2142903 divided by 102043.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 4*t**6\/3 + 17*t**5\/5 + t**3 - 11*t**2 + 527. What is the third derivative of w(q) wrt q?\nAnswer: 480*q**2 + 408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -5. Let v = d - 9. Let y = 17 + v. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h**3 + 9*h. Suppose -v = -4*o - 8, 0 = -6*o + 2*o + 3*v. What are the prime factors of m(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 431*z**2 - 5 + 426*z**2.\nAnswer: -5*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 16 = 2*f, f - 5*o + 12 = -2*o. Let t be ((-5)\/(-2))\/(f\/(-2)). Let h = 0.1 - -0.1. Sort t, 4, h in increasing order.\nAnswer: t, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/63 and 10\/55 - (1161\/154 - 3).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*4*1*sqrt(3) + (sqrt(297)\/(sqrt(36)\/sqrt(4)) - sqrt(33))\/sqrt(11)))**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 146.21 - 0.21. Let i = 168 - m. What is the closest to i in 0.3, -0.1, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 6*c = 44*c. Suppose 5*s + 4*m - 70 = c, -3*s + s - m + 31 = 0. Solve x + 3*x - 3 = 3*w, x = -3*w - s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15\/92 + -4341\/460. Find the common denominator of -49\/9 and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5299459?\nAnswer: 11, 481769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s + 9. Calculate h(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1425*i - 96. Let y be w(-6). Let f = y - -18631. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2655)\/(-2950)*(8\/6)\/2*-25.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 4:31 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.71607546 from -7595.\nAnswer: -7595.71607546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 12:15 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -1)\/(1\/6). Let d be (-24)\/((27\/i)\/(-3)). Let z be 1\/3 + d\/6. Solve -5*n = -z*n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + s**2 + 4*s**2 + 108*s**3 - 33*s + 39*s.\nAnswer: 108*s**3 + 5*s**2 + 6*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*h, 0 = -5*y + 5*h - 1 - 4. Let z = -9 + 6. Let t be (-174997 + z)\/(y\/16). What is t rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.1, 0.2, 11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*o + 22, 0*o - 3*o + 34 = -4*u. Let t(m) = -2*m + 11. Let a(n) = n - 5. Calculate o*t(y) + 13*a(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqiiiatqvna. Give prob of sequence tini.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1734*y**2 + 2998*y + 943. What is m(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/10 + 36\/(-20). Let w be 18\/(-18) + u + 4 + 0. Solve l + 1 = -w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11 - 34) + 323 + -16. Solve -65*h = g + 171 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40756829, 40756830, 40756831, 40756832, 40756833?\nAnswer: 40756834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 - 956*v - 3825\/4.\nAnswer: (v - 3825)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -143 + 149. What is the greatest common factor of t and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*a + 8 = -2*d, 3*a = -4*d - 16. Let c = 3 - d. What is the second derivative of -c*g + 3*g**3 + 0*g - g wrt g?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2553014cm to millimeters.\nAnswer: 2.553014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/q**23)*q**(4\/11)\/q*q assuming q is positive.\nAnswer: q**(257\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 14*g**2 + 1534*g + 2555. Calculate s(-109).\nAnswer: 1683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 522918550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 3 = -11*a. What is the third biggest value in 0.2, -1\/2, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23905*l**2*m*v - 4*l**2*v + 2*l**2 + 2*m*v - 12*m - 5*v - 2682 wrt l.\nAnswer: 47810*l*m*v - 8*l*v + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/33 and 38\/15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.9 + 1.55. Let c = g - -28.35. Let m = 28.11 - c. What is m rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 22*n**2 + 15*n. Let y(r) = 27*r**2. What is l(y(t))?\nAnswer: 16038*t**4 + 405*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 17*f + 37. Determine w(-9).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*q**2 - 246*q**2 + 342*q**3 - 250*q**2 + 735*q**2.\nAnswer: 342*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**5\/20 - 17*t**4\/6 + 17*t**3\/3 - 14*t**2 + t + 1. Let m be x(33). Solve 26 - 1 = -m*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2. Let j(m) = 10*m + 67. Give i(j(g)).\nAnswer: 200*g**2 + 2680*g + 8978","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-1 + -2 - -5). Suppose o = -0*z - 2*z, 0 = -m + 4*z + 64. Solve -b - m - 7*b**2 - 7*b + 3*b**2 - 24*b = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2. Let k(n) = 2*n**3 - 25*n**2 - n. What is -k(s) + 4*t(s)?\nAnswer: -2*s**3 + 21*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4\/3 + 3014*z**3 + 45360*z**2 = 0 for z.\nAnswer: -15, 0, 4536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*d + 8*d - 38*d + 6*d + 14*d + 1610 in the form f + c*d and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-3))**(-3\/29)\/(f\/(f**(-2\/55)*f))**49 assuming f is positive.\nAnswer: f**(-2512\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -28. Let c(q) = 2*q**2 + 13*q + 4. Let d be c(o). What is the second derivative of 0*v**3 + 50*v - 3 + 0*v**3 - 58*v + d*v**4 wrt v?\nAnswer: 588*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*n**2 - 12005525 + 273*n + 12005525 in the form p*n + d + y*n**2 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 63*x - 1. Let i(h) = 2*h**3 - 4*h**2 - 2. What is the remainder when u(1) is divided by i(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3749 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*sqrt(252) - (5 + (sqrt(252)*1 - sqrt(252))**2) - (2*(sqrt(252) + sqrt(252)*-1)*4)**2*-3.\nAnswer: -5 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 5*m - 150, 4*l + m - 5441 + 5258 = 0 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/208)\/((-3285)\/(-2628)).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 16. Suppose p - 14 - 6 = -5*x, 0 = -2*p + d. Solve -x*o = -6*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*h + 61*h + 68*h + 69*h + 82*h - 345*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.32 + -0.02. Let c = -10 + 13. Suppose c*m + 10 = 5*s - 0*s, -4*m + 6 = 3*s. What is the nearest to m in 3, d, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*((-1*sqrt(252) + sqrt(252))*5 + sqrt(252))\/(sqrt(4) - (sqrt(4) - (sqrt(16) + sqrt(48)\/sqrt(3) + sqrt(16))\/sqrt(4))).\nAnswer: -2*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**5 - 26592695*n**4 - 106370730*n**3 - 159556070*n**2 - 106370705*n - 26592675.\nAnswer: -5*(n + 1)**4*(n + 5318535)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*h + 3 = 7, -h - 5 = -2*s. Let d be (-3)\/(-2)*(-4)\/s. Let x(t) = -t + 3. What is the units digit of x(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 1 - 14 = 0, 5*f = -3*z + 29 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5273 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.252 less than -12?\nAnswer: -12.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d**2 + 6 + 41*d**2 + 24*d**2 + 28*d**2 - d**3 - 4 as s*d**2 + m*d**3 + u*d + i and give s.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -97. Suppose -4*h + 45 = 5*t, n = 5*h + 3*t + 10. Solve 0 = -h*u + 22 - 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((58\/(-348))\/(2\/12)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v - 20 = 9*v + 4*r, 0 = -2*v - 5*r - 18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f = -5*n + 9*f - 135, -4*n - 2*f + 34 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -150*w**2 - 29*w + 122*w**2 + 13*w**2 in the form c*w**2 + g*w + a and give g.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 f when three letters picked without replacement from {q: 2, y: 1, e: 1, f: 2, x: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (93\/3534)\/((-2)\/(-4)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, w: 14}. Give prob of picking 1 w and 3 d.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3056 + 3465. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2209074 divided by -3\nAnswer: -736358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22175 + -21924. Put v, -4, 3\/2, -0.5 in ascending order.\nAnswer: -4, -0.5, 3\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-40) - (-410)\/(-8). Let w be -2 - (k\/21)\/1. Is w <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8611503 * 3.\nAnswer: -5.5834509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 1632*g**2 - 231420*g + 2547216.\nAnswer: -3*(g - 266)**2*(g - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 + 7 - 24)*(4*b - 2*b + 0*b)*(-2 + 2 - b**2) in the form l + v*b + w*b**3 + z*b**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-15 - -22) - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23\/4 + 21\/4. What is the closest to t in 2\/5, -0.4, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -80207 - -116?\nAnswer: -800e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*k - 2*s, -3*s + 2 = -k + 15. What is the greatest common factor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from rctrtiiitcnnvcvc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-12) - 1)\/(12\/40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1902 + 9*u - 29*u - 1953.\nAnswer: -20*u - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 9:21 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5361 + 0?\nAnswer: -5361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*d - 2. What is the units digit of d\/2*152\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/181064 and 95\/8736338.\nAnswer: 34945352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -515.686 + 583.8. What is s rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12400343 (base 5) to base 2\nAnswer: -11101110001110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 13. Let p be 3*((-12)\/(-9) - 0). Suppose -p*y + 10 = -a. Solve y*d + 3 = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -33*c - 1572 + 1572 - 148*c + 40*c. Let g(y) = 33*y. Give f(g(k)).\nAnswer: -4653*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.2 - -12. Let h = x + 1.2. Which is the biggest value? (a) 3 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6865 (base 15) in base 16?\nAnswer: -5681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 72609054 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, z: 4, f: 8, y: 2}. Give prob of sequence fzyf.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 9. What is the units digit of q(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or -3?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*q**2 - 7*q**2 - q**2)*(q**3 + 3*q - 3*q) - 2*q**5 + q**2 - q**2 + 1191*q**5 + 397*q**5 - 2450*q**5)*(4 + 0 - 3).\nAnswer: -869*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 648295208 to the power of 1\/2, to the nearest integer?\nAnswer: 25462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 924 and 4194410.\nAnswer: 176165220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.065072 rounded to two dps?\nAnswer: 16.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*u + 68. Let k be (8\/12)\/(-2 + u\/(-6)). Suppose -k*o + 5*o = 80. 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: Calculate the remainder when 11133778 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*r - 122 + 6, 4*r = 2*g + 272. Suppose -j - 2*j = -r. Calculate the remainder when 40 is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4) + (8\/44)\/((-236)\/(-3245)))*31.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3266265219.\nAnswer: 3, 7, 83, 1051, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 21 + 19)*(18*x**5 + 3*x**5 + 10*x**5).\nAnswer: 992*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2521*n**5 - 41*n**4 + n + 736920.\nAnswer: 50420*n**3 - 492*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*q**3 + 8*q**3 + 314 + 494 to a*q**2 + x + s*q**3 + m*q and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13043351 divided by -13043351?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(-3)\/12*25. Let s = z - -47. Suppose s = 3*b + 3*q, 0 = -5*b - 2*q + 6 + 126. What is the remainder when 53 is divided by b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*g = 3510, -3*s + 1087 = -2*g - 1019. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 240361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 8*n**2 - 7*n - 2. Let d be (6 - 5) + -8 - -16. Determine y(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 - 3117 = -8*v. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33.1 + -33. Which is the closest to f? (a) -2 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 123511200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v. Let u(l) = 22*l. Let b(t) = -2*t + 17*t - 60*t. Let k(g) = 5*b(g) + 9*u(g). Let m(d) = -176*d. Let c(j) = -33*k(j) + 5*m(j). Calculate c(f(i)).\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-650)\/4225)\/(21\/(-13)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*k**2*p**3 + 4*k**2*p + 11*k**2 + 5*k*p - 1835*p**4 - 4*p**2 wrt p.\nAnswer: 78*k**2 - 44040*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 10) + (68 - 31 - (-68 - -76))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 + -173. Let t = r + 208. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 529 + 1307. List the prime factors of y.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/10 in -1.2, -46, -3, -2364?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1430087.\nAnswer: 37, 38651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 10*s**2 - 7*s + 3. What are the prime factors of h(5)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 29 = 4*a - 9*a, -4*a - 4 = 4*u. Suppose -u = p, 38 = f + 3*p + 8. What is the highest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 67903.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 + 1.24. Let c = o + 1.96. Let w = 1.99999981 - c. Round w to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 1711*u**2 - 21*u. Let x(c) = -7*c. What is -j(d) + 3*x(d)?\nAnswer: -d**3 - 1711*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1009755 and 1852989?\nAnswer: 3543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56208 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2747573 and 2226954?\nAnswer: 2491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1817373614?\nAnswer: 2, 7, 3331, 38971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 49, 3, 1499 in ascending order.\nAnswer: -4, 3, 49, 1499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4 = -d. Suppose -51*q + 67*q = 224. What is the second derivative of q*t + 2*t**2 + 7*t**d - 22*t wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 3*j**4\/8 + j**2. Let l(g) = 32 + 21 - 2*g - 53. Determine c(l(p)).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213 + 2?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1725\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r = -4*r. Solve 5*k + 0 + 5 = r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from pmrrrpmmpmmmmppmr.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91708*h**6 - 2*h**3 + 33615*h**2 + 7 wrt h?\nAnswer: 11004960*h**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 1.3. Let u = 0.4 + -0.6. What is the biggest value in 0, q, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16620 and 738015?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1078 and 9548.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5429790, -10859578, -16289366?\n\"Answer: -5429788*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 330, -2\/11, -2634.\nAnswer: -2634, -2\/11, 0.4, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 21, 74, 165, 306?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148cb (base 13) to base 3.\nAnswer: 1222022120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1053 - -8397\/8. Let r = v + 7\/8. Sort 4\/7, r, 5 in descending order.\nAnswer: 5, 4\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58*4.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 2, -21315, 2\/9?\nAnswer: -21315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 51\/(3\/1) - 3. Is 12\/(-42) - (-312)\/b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12094.4 in -1\/16, -3, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**3\/3 + 9*s**2\/2 - 11*s + 3. Let g be q(8). What are the prime factors of (g\/(-6))\/(1\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 9:44 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1604936941 + -0.48\nAnswer: -1604936941.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/3)*r*r)\/r**(-1\/10))\/(r**(-2))**(-3\/7) assuming r is positive.\nAnswer: r**(121\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(-2*sqrt(1728) + sqrt(1728)))\/(-2*((sqrt(144) - -1*sqrt(144)*1) + sqrt(144))).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -692*f**3*r + 75*f**3 + f**2 - f*r + 747244*r wrt f.\nAnswer: -4152*f*r + 450*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 245*l. Let h(u) = 6*u + 7*u - u - 20*u + 6*u. What is m(h(b))?\nAnswer: -490*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 41235064 divided by 124202\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*k**3 - 13*k - 7*k - 132*k**3 wrt k?\nAnswer: -552*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 7*r + 3. Suppose -5*w + 240 = 5*y - 115, 0 = 4*w + 2*y - 274. Let p be w\/9 + (-4)\/(-6). Is u(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -43. What is the nearest to 1 in 1, d, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195016.\nAnswer: 2, 19, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Let r = 3 - z. Let y = -33 + 37. Which is the second biggest value? (a) r (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffafoogwgosfws. What is prob of sequence fws?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0.4. Let a = r + -3.6. Let t = 26\/55 - 3\/11. What is the nearest to 0.2 in a, -0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -3026?\nAnswer: 4\/1513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -16*b + 112. Let r = -3 - -10. Let a be i(r). Which is greater: a or 1\/141?\nAnswer: 1\/141","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -14b77?\nAnswer: -14b79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 + 10. Let f be k(-6). Is (-2)\/7 - 7770\/f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 1020*i - 2024.\nAnswer: -4*(i - 253)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**2\/5 + 103728*t\/5 + 42373968 = 0. Calculate t.\nAnswer: -32396, -2180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*f = 2*v + 3, -2*v - 3*f = 3. Let w(z) = z**2 + 2*z - 2. Let s be w(-3). What is the tens digit of s\/(v\/108*3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9653 = 5*c + 3468. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2056700?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 17*x. What is f(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Let a(y) = 3*y**2 + y. Let w be a(-1). Let c(r) = 2 + w*r**2 + 3 - r**3 - 3. Let t(b) = -5*b**3 + 9*b**2 + 9. Determine o*t(m) - 9*c(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -2\/9 (c) -78 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1347 + 8583 = -54*z. Is z at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 23051.8\nAnswer: -92207.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 - 10*z**2 + 16*z**2 - 9*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*q - 65*q = -750. Suppose -q = 2*h - 4*h. Calculate the common denominator of -65\/14 and (0 + h\/7)\/(-71 + 63).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -167\/4 - -42. Let w = 0.4 + -0.9. Which is the nearest to -2\/7? (a) t (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s. Let v(p) = 7*p. What is v(y(u))?\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 8:32 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 17. Let l be (o\/75)\/(12\/(-9)). Which is the third biggest value? (a) l (b) -2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 451?\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(-51)*(-24)\/8*8\/3.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*80878\nAnswer: 32351.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 23330\/7 = 3333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t + 19. Let v be g(-6). Suppose -4*c + 23 = x, 2*c = 4*x - 0*c - 2. Solve -x*p = v + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4 - (-5)\/(150\/215). What is the third biggest value in -5, 2, 4, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6779*x = 469*x - 195610 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265686 is divided by 304?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o**2. Let q be z(-1). Let y be 20*1 + q\/(-6). Suppose -y = -m - 0*m + 3*r, 0 = m - r - 13. What is the highest common factor of m and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*u + 3*u. Let l be -2*u*290918\/8. Suppose 4*i + 118541 = -l. What is i rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8*r**4 + 5*r**3 - 16. Let o(x) = 15*x**4 + 9*x**3 - 33. Let h(d) = 9*b(d) - 5*o(d). Find the first derivative of h(l) wrt l.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4494 (base 13) in base 14?\nAnswer: 36c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -37*(7\/(-14))\/(42\/84)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 4. Let h(w) = 2*w + 13. Let m(v) = 4*v**3 - 6*v**2 + 15*v + 21. Let l be m(-1). What is l*h(c) + 11*u(c)?\nAnswer: 3*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -870 - 12*z**2 + 870.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - d - 14. Calculate u(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -q - 2*q + 27, 3*q = -3*t + 21. Let u = -13 - -7. Let l be 2\/6 + (-16)\/u. Solve q*v - 9 = l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -9)*(-1)\/3. Suppose 0 = -u*a - 2*a - 44. Let m = a + 23. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 26, -1\/2, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(1 - 6 + 0*r + 2*r)*(5 + 5 - 9).\nAnswer: 4*r - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2717127 and 299366.\nAnswer: 2537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1348 minus 67153?\nAnswer: -67152.8652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s - 16. Give m(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/800 and 6\/1375.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -31)\/((-355)\/(-284)). Solve -22*b + 4*p = -r*b - 12, 4*b - p = 21 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150206492 by -1343.\nAnswer: 111844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20999977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88.896 - -88. Let k = 0.104 - w. Let j = 4 + 0. Which is the second biggest value? (a) k (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117174 or 117173?\nAnswer: 117173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -391136070 to the nearest one hundred thousand.\nAnswer: -391100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 + 12*i - 10*i + i**2 - 4*i**2. Let y be w(2). Solve y = -n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 18, -3*p + 51 = -6*k + 4*k. Calculate the highest common factor of p and 196.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2576483669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3537 - 3519. Solve -284 = 38*j - t for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*s + 16, 0 = -b + 2*s - s + 4. Let t = b - 8. Let a = 25265\/4 + -6317. Is t bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*j + 15. Let a = 11 - 11. Solve 9 = j*h - a*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 3*j**2 - 2*j - 2. Let r be s(-3). Suppose 13 + 11 = r*c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11011 is divided by 1570.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 567, 0, -2, 4 in ascending order.\nAnswer: -2, 0, 4, 39, 567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -25. Let y = -102 - -101. Is f + 2 + 2 + y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-6))**(5\/3) assuming y is positive.\nAnswer: y**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = n - 25, -4*h - 9 = -1. Let f(s) = -47*s + 4. Let q be f(-5). Suppose n = 5*v - q. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 + -2. Let j = -2.011 + 0.011. Which is the third biggest value? (a) j (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1277*r - 483*r - 520*r)*(9 - 37 - 4).\nAnswer: -8768*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.85587 and -12?\nAnswer: 34.27044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, 0, 11, 4 in decreasing order.\nAnswer: 18, 11, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1. Let b(c) = -8*c + 3. Calculate b(t) + 4*q(t).\nAnswer: -8*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46911 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2688 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -69*y + 14 - 10 + 7. Is h(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332\/(-2)*(21\/(-6) - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*g + 296. Let j = g - -233. Calculate the remainder when j is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -236 (base 7) to base 14.\nAnswer: -8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142 + -237. Let b(n) = 6*n**2 - 13*n + 24. Let r be b(6). Let c = r + t. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 513632 divided by 128408.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 7:21 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -228049648, -228049642, -228049626, -228049594, -228049540, -228049458, -228049342?\nAnswer: -228049186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.305?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*k = -162*k - 12. Is (1 + -1 - -3)\/k - -16750 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 10:21 AM?\nAnswer: 347","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3 + 3)*(0*p + 10*p + 3 - 6*p).\nAnswer: 8*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*n + 139. Let q = n - -31. Find the first derivative of -2 - 7*z**2 - 9*z**q - 1 + 6*z**2 wrt z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2331 and 31626.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {l: 1, k: 7, e: 5}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/3*(-6 + 24 - 15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**5\/4 - n**4\/4 + n**3\/3 - 3*n**2\/2 + 3*n. Calculate the remainder when m(2) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + 8*t - 4. Let l be v(-6). Solve 0*n + l = 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108.07 - -9.13. Let x = b + -88. Let w = 29 - x. Put 1\/5, 2\/9, w in decreasing order.\nAnswer: 2\/9, 1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (33\/6)\/(2\/4). Let u(s) = -s**3 - 1. Let q be 6\/(4 - 2) + -5. Let a be u(q). Solve -4*n = 3*f + a, m = f - 4*n - 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1231 - -1?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x + 8. Let i be b(-9). Let o = -15 + 2. Let f = o - i. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-19593.\nAnswer: -9796.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 43312?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.2 - -3. Let l(x) = x + 3. Let q be l(-4). What is the closest to r in -2\/11, q, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 5*u**2 + u - 4. Let y be t(5). Let g be 4\/y - (2 + 0). What is g rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -4\/278302661 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/13 + 10*j**2\/13 + 4*j\/13 - 16\/13.\nAnswer: 2*(j - 1)*(j + 2)*(j + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1433982 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -189 + 231 + -9 + -1 - 13 - -8\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/7, 0.5, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 134515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 199*k + 1188. List the prime factors of s(89).\nAnswer: 18899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -674 + 2*n**3 + 10*n + 654 + 3*n**3 - 3*n**3. Does 27 divide w(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -17. Solve -28 - h**2 + h - r*h**3 + 2*h**3 + 29 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.9 + -22.8. Let f = b + 10. Let c = -0.3 + 0. What is the closest to f in c, 3, 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 1110*s**3 + 12*s**2 - 22*s + 5. Is h(2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/7 + 406\/49. Suppose -r*a = -3*a - 75. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 - 2.1. Suppose -2*f + 4 = 5*q - 6*f, 0 = 2*q - 4*f - 4. Sort 5, w, q in descending order.\nAnswer: 5, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -9*o**2 + 3*o + 1. Let w(y) = 38*y**2 - 16*y - 4. Let q(r) = -4*g(r) - w(r). Let u(t) = t**2 + 4*t - 2. Let h be u(-5). What is q(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u**2 + 53*u + 644. Let k(p) = -p**2 - 6*p - 68. Let i(h) = 19*k(h) + 2*y(h). Suppose n + 2*b = -0*b + 1, n + 19 = 3*b. What is i(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 811756.9 centimeters to millimeters.\nAnswer: 8117569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -525 - -524.6. Suppose 0 = 3*o - 9, -z - 4 = 2*o - 12. Which is the closest to 1? (a) q (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q + 0*q - 48 = -4*w, -314*q = -323*q + 3*w + 42 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqlllqsqqqllslsqcq. Give prob of sequence lscs.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62847852 and 5820?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 13*r + 5. Let l be s(-13). Suppose -u = 4*j - 23, j + 3 - 4 = -l*u. Determine i, given that 27*i + j - 3*i**3 - 24*i - 8*i**2 + 2*i**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14768\/4137 - 1\/591. Find the common denominator of 5\/7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g + 15. Let d be p(12). Which is smaller: d or -32?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 13068.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1557874, 1557869, 1557864, 1557859?\n\"Answer: -5*b + 1557879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2672 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: Evaluate ((1944\/675)\/(-36))\/(2\/(-45)*3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 - 111. Suppose -c - i = -p*c + 52, -i = -c + 10. What is the remainder when c is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a. Let o(p) be the third derivative of p**5\/6 - 9*p**4\/8 - 1185*p**2. What is m(o(n))?\nAnswer: 70*n**2 - 189*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 65, 26, -75, -268, -583, -1050?\n\"Answer: -5*i**3 - i**2 - i + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + 0 + 3*sqrt(75)*3 + 6*(3*sqrt(75) + sqrt(75)))**2.\nAnswer: -1650*sqrt(3) + 81700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 115 (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(4)\/sqrt(2) + sqrt(2)) + (0 + -1*sqrt(3))**2.\nAnswer: sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-nine fifths of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 598 and 2470676?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4 (b) -3 (c) 39 (d) -229.2 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/(a\/(((a**(-1\/7)\/a)\/a)\/a))*a)\/a))**(-17) assuming a is positive.\nAnswer: a**(-493\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Suppose x*g = -0 + 16. Calculate the lowest common multiple of g and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-4)*a*a*a**(-8)*(a*a**11)\/(a\/a**11))**(4\/3) assuming a is positive.\nAnswer: a**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11\/8 (b) -4 (c) -2 (d) 4 (e) 0 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 5. Let m = 143 + -143. Let t be (-39)\/(m - -3) + -5 + 8. What is k(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1947)\/(-6) - -1)*6\/9. Let t = i + -216. Solve 31 = -4*b + 5*r, 4*b - r = -6*r - t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 19\/22?\nAnswer: 19\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.7 + 3.3. Let u = i + -12. Let h = u - 5.1. Which is the nearest to h? (a) -2\/5 (b) -0.3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 172 = -g. Let i = 175\/4 + g. Put i, 1\/6, 3 in descending order.\nAnswer: 3, i, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22396, -42665, -62934?\n\"Answer: -20269*n - 2127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8 - 5 - 4*o + 3*o + 24 - 10. Let j(y) = 11*y + 1. Give -2*a(k) + j(k).\nAnswer: 13*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2040 and 231540.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -56, -99, -160, -245?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**6\/60 + j**5\/10 - 5*j**4\/24 - j**3\/6 - 121*j**2 + 2. Let k(f) = 2*f**3 - 7*f**2 + 6*f + 1. Calculate -6*k(c) - 7*s(c).\nAnswer: 2*c**3 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y = -412*y - 222*y + 5913 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v**(1\/2)*v))\/v)\/v**(2\/7))**(-48)*v**(-2\/3)*v*v**(-2)*(v\/(v**(-1\/5)\/v))\/v**(4\/3) assuming v is positive.\nAnswer: v**(1292\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.061 (b) 2\/13 (c) 5 (d) 1501\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-36)\/(-225)*10\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x - x + 2*x)*(-1 + 0 + 0)*(2 - 3 + 0)*(4 - 7 + 10) to the form o + f*x and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 275481 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 155507437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5445 times -0.99?\nAnswer: 5390.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79.32 + 77. Let y = k - 0.78. Let r = y + 1.1. Which is the biggest value? (a) 6 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -4448*h**6\/3 + h**3\/3 - 61*h**2\/2 + 2*h - 924. Find the third derivative of d(v) wrt v.\nAnswer: -533760*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -1306\nAnswer: 391.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.32 + -4.18. Round a to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 5*s**2 - 5*s + 17. Let g be f(5). Let o be 2\/(-6) - (-3)\/9. Is g less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 12*u**2 + 17*u - 5. Let y be d(-8). Which is smaller: y or 116?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**4 + 36*g**2 + 28*g**4 - 20*g**3 + 20*g**3 wrt g.\nAnswer: 696*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -146 - -162. What is the lowest common multiple of 250 and j?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 11*y**2 + y - 11. Let w be l(-11). Let z = -22 - w. Suppose 5*v = -z*v. Solve 2*n + v = 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 148*q + 449. Let u be g(-3). Solve 3*f - m + 9 = 0, -3*m = u*f + 16 - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/52*-74 + (-22)\/(-143).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -335 divided by -67.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.602786 from -4.\nAnswer: -6.602786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25\/441 - -8\/147. What is the biggest value in y, -5, -12?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (335\/45)\/(4\/36*3) and 10\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 235 times -62\nAnswer: -14570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -198*s**2 - 107*s - 28. Is n(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 253694922?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 27.1. What is the nearest to -1\/2 in -13, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, -12, -29, -46, -63, -80?\n\"Answer: -17*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 12*i + 52. What is the remainder when i is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*a**2 + 23*a**2 - 306*a**4 + 27*a**2 - 77*a**2 - 340*a**4 - 6*a wrt a.\nAnswer: -15504*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -10, -99, 4, -5, -572 in decreasing order.\nAnswer: 4, -5, -10, -22, -99, -572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-2) + -1)*0. Suppose -2*b + 3*b - 4 = l. What is the nearest to 0.1 in b, -0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43992\/51324*(28\/(-6))\/(4\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7011 + -15?\nAnswer: 6bb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4890807, -9781610, -14672413, -19563216?\n\"Answer: -4890803*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 39*w + 36.\nAnswer: 3*(w + 1)*(w + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmdf when four letters picked without replacement from dmmhhfddmmi.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-18)*35\/((-910)\/39).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - -1) + -2 + 2. Suppose -r*v + v + 24 = 0. Suppose -2*d = d + 6, -5*b - v = 4*d. Put 2, -5, b in decreasing order.\nAnswer: 2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168056.1 months to millennia.\nAnswer: 14.004675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97663209.\nAnswer: 3, 7, 263, 17683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q = -28. Let z = 0 - q. Calculate the remainder when 26 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 9*f**2 + 10*f - 15. Let i be p(9). What is the common denominator of -7\/12 and i\/(-8)*3\/(-180)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5}. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/4680*9)\/((-14)\/(-175)*-5).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 5 - (3 - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 84, 336, 910, 1950, 3600, 6004?\n\"Answer: 24*m**3 + 17*m**2 + 33*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttf. What is prob of sequence tf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10a6 (base 12) to base 16\nAnswer: 73e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 765737, 0.5 in decreasing order.\nAnswer: 765737, 0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 4:12 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.4752.\nAnswer: -0.19008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1452 divided by 484.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 - (-31 + 25).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (2 + (-5 - -1)). Suppose j = -t*j + 413. Suppose 0 = -4*n + 3*n + c + j, 5*n - 304 = -4*c. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24774 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1295, 2593, 3901, 5225, 6571, 7945, 9353, 10801?\nAnswer: 12295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 35 + 39 = 0. Which is the nearest to z? (a) -0.2 (b) 1\/3 (c) -1\/4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1227*h**2*s**3 + 2*h*s**3 + 13*h wrt h.\nAnswer: 2454*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(31\/5)*x)\/(x\/x**(2\/7)))\/(x*x\/(x**(-1\/19)\/x*x))**(1\/3) assuming x is positive.\nAnswer: x**(3858\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 610321670.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19464 is divided by 4866.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**4 - c**3 - c**2 - c - 1. Let y(f) = -34*f**4 - 2*f**3 - f**2 - 2*f + 68. Let a(v) = -2*i(v) + y(v). What is the first derivative of a(k) wrt k?\nAnswer: -128*k**3 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19159, -19281, -19403?\n\"Answer: -122*r - 19037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2044 a factor of 840126924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*g**2 + 40 + 5*g - 13 + 2*g**3 + 12 + 391*g**2.\nAnswer: 2*g**3 + 454*g**2 + 5*g + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - 9\/((-624)\/(-69) - 143\/3289)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 6 = -j - 0, 4*d + 7 = -j. Let b = -9 - -9.07. Let n = b - 0.47. What is the biggest value in j, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 2772 = 3*g. Suppose -512 = -g*w + 248*w. Calculate the least common multiple of w and 176.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 4*q - 43, -271*y - 72 = -271*y - 6*q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52223461 is divided by 307.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 295971919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:59 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 1. Let q be r(2). Suppose 2*s - 13 = -q*k, 3*s - 25 + 7 = -4*k. Let a = -20 + 20. Solve a = -d + k*d - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3016 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + 2*p**2 - 3*p**4 + (-2*p**2 + 4*p**2 - 3*p**2)*(14*p**2 - 95 + 95) + 0*p**4 - p**4 + 3*p**4 + (-4*p + p + 2*p)*(p**2 + p**3 - p**2).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2457\/108 - 1\/(-4). Which is the smallest value? (a) -2 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -5. What is the remainder when ((-236)\/(-12))\/(y\/3) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, j: 7, h: 8, t: 2}. What is prob of sequence jt?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w + 11*w - w)*(1 + 5 - 3)*(0*w + 3*w - 5*w).\nAnswer: -90*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/11)*t)**(3\/20) assuming t is positive.\nAnswer: t**(21\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 w when four letters picked without replacement from gfgbfbfgwggfrgwgwgf?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 7276810?\nAnswer: 7276810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, w: 4, o: 1, n: 1, f: 1, u: 7}. What is prob of picking 1 w, 2 z, and 1 u?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -15*d + 1. Let r be g(-1). Let p(l) = 8 + 16*l**2 + 0*l - 17*l**2 - 8*l. Let b be p(-8). What is the highest common factor of b and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -6594, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671302?\nAnswer: 2, 59, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -6 + (-9 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164386 (base 9) to base 2.\nAnswer: -11000110100010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**3 + 1589*x**2 - 399*x + 795. Determine l(397).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -6) + 8 + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271, -246, -203, -142?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*-3*1*(-2 + sqrt(288) + sqrt(288) + -2 + -3))**2.\nAnswer: -48384*sqrt(2) + 172944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + t - 1. Let f be y(1). Which is the closest to -1? (a) 3 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10647\/47 or 227?\nAnswer: 10647\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 + -1.2. What is the nearest to -2 in 0, -4\/3, f?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1991202 divided by 4.\nAnswer: -995601\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 0*n**3 + 6\/85*n**5 + 0*n**2 - 1\/51*n**6 + 0*n - 1\/17*n**4 + 36. Determine d, given that v(d) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 411227c - 2?\nAnswer: 411227a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 62*i + 2. Let g be -3 + 5 - 1*-9. Suppose 0*f + g = -f. Let a be m(f). What is a rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*y**2 + 0*y + 72\/5*y**3 + 4\/5*y**4 + 0 = 0. Calculate y.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3532 + 5?\nAnswer: -3524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 78*y**3 - y**2 + 7*y + 1. Let d(h) = -389*h**3 + 5*h**2 - 38*h - 6. Determine 2*d(z) + 11*w(z).\nAnswer: 80*z**3 - z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/50 - (-130824)\/6900?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 822909 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 7*s**3 - 321*s**2\/2 + 90*s - 5. Factor q(v).\nAnswer: 3*(v - 15)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -5*h + 3*n, 4*h - 2*n = h + 117. Let t(k) = -h*k - 525 + 525. Let p(q) = 3*q. Determine t(p(o)).\nAnswer: -111*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.0045, 2 in descending order.\nAnswer: 2, 0.3, 0.0045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*u - 0*u, 0 = 5*k + u - 20. Suppose 2*y + k = 3, -4*f - 5*y + 27 = 0. Let b(i) = 2*i + 1. What is the units digit of b(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 + -86. What is the first derivative of -50 + 28 + 24*r**2 + l*r - 3*r wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 56 = 4*v, -4*v = -v - o - 52. Let g = 24 - v. Let b be (-1 - 1) + -7 + 0. Put g, b, 4 in descending order.\nAnswer: g, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5394832060 and 908?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2375 or -4532?\nAnswer: -4532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/9127 - 45647\/54762. Sort 2\/37, o, 10 in increasing order.\nAnswer: o, 2\/37, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08 + 3.08. Let c = d - 8. Let t = c + 5. Put t, -0.1, 7 in ascending order.\nAnswer: -0.1, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9387836 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*o = 98. Let r = 176 + o. What are the prime factors of r?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-117) + 51*4\/26. Let t = b + -5. Solve w + 3 = 2*m + 2*w, 0 = -3*m + t*w + 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, m: 4}. What is prob of sequence hhhh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.1209*2\nAnswer: 2.2418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 32*v - 77. Let d be g(-9). Is 130 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 9*b. Let y(o) = -o**2 + 1. Let g(d) = 4*d**2 - 5. Suppose 8*c = 11*c + 15. Let t(p) = c*y(p) - g(p). Give z(t(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 9:06 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1117*(5 - 3\/((-21)\/(-28))). Let q = -1117 + m. Suppose f + 1\/2*f**3 + q + 3\/2*f**2 = 0. What is f?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1180*w - 1189*w = -51309. What is the thousands digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6944 + -41549\/6. Calculate the common denominator of n and -71\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**8\/1008 - 2*r**7\/315 - r**6\/180 + r**5\/15 + r**4\/8 + 91*r**2. Factor a(w).\nAnswer: w*(w - 3)**2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 0*z + 2*o, 236*z = 232*z - 17*o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(320) + (-6*sqrt(320)*-1 - sqrt(320)))*2 + 4)**2.\nAnswer: 768*sqrt(5) + 46094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-18)*-3*3. Let r = 6 + -11. Put n, 6, r in ascending order.\nAnswer: r, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 1\/2*t**2 + t - 65. Give w(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225785795, -225785796, -225785797, -225785798, -225785799?\nAnswer: -225785800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 133027294 and 51858?\nAnswer: 1197245646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 29*x**2 - 572*x - 72. Is u(24) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10101010111010 (base 2) to base 16\nAnswer: 2aba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-422 + 422 - 44*d**2)*(-83*d**3 - 74*d**3 + 8 + 154*d**3).\nAnswer: 132*d**5 - 352*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c - 12. Let o be i(-8). Suppose 14 = k - 3*f, 4*k - f - 8 = o. Suppose k*b = b. Solve -u - 5 = -b*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9b317d + c5?\nAnswer: -9b3098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 5*i**9\/168 + i**5\/60 - i**3\/3 - 34*i**2. What is the third derivative of n(b) wrt b?\nAnswer: 1800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 117222*d**3 + 3 + 0.\nAnswer: -117222*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (95 + 18 - 21).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-one quarters of a millennium?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 6)*(4*l + l**3 - 2*l**3 + 2 - 1) as s*l**2 + c*l**3 + u + t*l and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 47*g**3 + 510*g**2 - 435*g + 94. Let v(y) = 283*y**3 + 3060*y**2 - 2609*y + 562. Let r(f) = -6*v(f) + 34*z(f). Suppose r(o) = 0. Calculate o.\nAnswer: -11, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5815*j - 90045 = 102797 - 19777 - 21875 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(176) - (0 + sqrt(176))) + 3)*6)**2 - (sqrt(11)*2*1 - sqrt(33)\/sqrt(3)*-6 - (sqrt(176) + -1 + 3*(sqrt(11) + 0))).\nAnswer: -sqrt(11) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4 + 240*o**3 - 6378*o**2 - 13484*o - 6864 = 0. What is o?\nAnswer: -1, 44, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r**2 - 13*r + 16. Let f be l(1). Sort 4, 1, 3, f in descending order.\nAnswer: 4, 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -200228, -800805, -1801760, -3203087, -5004780, -7206833, -9809240?\n\"Answer: f**3 - 200195*f**2 + f - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f**3 + 25*f**2 - 25*f**2.\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 137, 548, 1233, 2192?\n\"Answer: 137*g**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 41\/8 (c) 5 (d) -84 (e) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.45 + 2.04. Let s = -0.45 - -0.46. Let f = s + x. Sort f, -5\/3, -2\/19.\nAnswer: -5\/3, -2\/19, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 4, b = 6*x - 2*x - 843. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2835 and 14961915.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/5441961 and -43\/6555.\nAnswer: 27209805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*n + 16, 3*n = -8 - 1. Find the third derivative of 26*h**4 + 1 - 73*h**4 + 21*h**4 + 25*h**i + 11*h**6 + 10*h**2 wrt h.\nAnswer: 1320*h**3 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59449 + -1248862\/21. Let b = 142\/7 + k. What is the third biggest value in b, 10, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) - sqrt(468)*-4 - sqrt(26)\/sqrt(2)*2.\nAnswer: 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-4))\/(2 - 2490\/1244). Suppose 3*d + g = 4*b, b + 4*d = -2*b + 731. Let h = b + -2135\/9. What is the closest to 2 in -0.3, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5 = -0. Let z be 7 + n + 2 + -2. Let g(r) be the third derivative of -r**4\/24 + 2*r**3\/3 + 122*r**2. Give g(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 144364 = -2*u, 4*h - 7*h + u = 108274. Let n = h - -65792. What is n rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -566 + 566. Solve r = 3*p + 63 - 78 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 8*d**2 + 7*d + 9. Suppose 0 = -3*p + 59 - 38. What is h(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*b + 696448 - 696448.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 854513 and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 491266091*q**3 - q + 106325412 wrt q.\nAnswer: 2947596546*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*r + 10. Suppose r - 86 = -9*s. Suppose -i - 170 = -6*i. What is the remainder when i is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 21*k**3 + 2*k**2 + 2*k + 2. Let h be i(-2). Let z = h + 813\/5. Let l = 0.9 + -1. What is the closest to l in z, 1\/10, -3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 0)\/((-3)\/3 + -6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 5*k - 2. Let t be m(-4). Suppose -14*v = -t*v - 232. Calculate the greatest common divisor of 87 and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 210073, 210085, 210097?\n\"Answer: 12*q + 210061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33244?\nAnswer: 2, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + 4 + 9)*4. Let z = -14 + f. What are the prime factors of 2\/(-3) - (-894)\/z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111210220202101 (base 3) to base 12\nAnswer: -255b90a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119 + 119.2. Let o = -23 - -7. Let d = o + 14. Which is the nearest to 0.1? (a) p (b) 0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**2\/7 - 704*n\/7 - 7260\/7 = 0.\nAnswer: -165, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g + 31*g - 2*g**2 - 5*g as j*g + h + v*g**2 and give j.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 7*n**2 + 8*n + 7. Let l be w(-4). What is the highest common factor of 184 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-182)\/((-14)\/(-1)) - 2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10221100022210 - 20221?\nAnswer: -10221100120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3283\/4 + 807. Calculate the common denominator of 31\/24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 10\/11 (b) -3 (c) 26912 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*r - 2781 = -10172 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + p = 42, 5*q - 1274*p + 1271*p + 46 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 1. Let p(y) be the second derivative of y**3\/2 - 5*y**2\/2 - 3*y. Suppose -u + 16 = -3*x, -2*x + 11 = 4*u + 3. What is u*m(t) + p(t)?\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00291412 rounded to four dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 4, d: 2, z: 2, s: 1, t: 4}. Give prob of sequence adt.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.84626 - -0.26726. Round x to one decimal place.\nAnswer: -11.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1394 - (-16)\/4)*2000. Round k to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 284*p - 279*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by 5?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3 = 3*s, -3*o = 6*s - s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n - 19. Let d(j) = 5*j + 18. Let o(x) = -4*d(x) - 3*f(x). Let w be o(-10). Solve w*c = 3*v - 1, 4*v - 13 = -c - 4*c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 3*i. Let y(r) = -16*r**2 + 34*r. Let o(g) = 68*q(g) + 6*y(g). Let z(x) = 2*x**2. Give z(o(a)).\nAnswer: 1568*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2486.794 + 2452.7940026. Let g = k + 34. Round g to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4655*d - 96. Let r(q) = -901518*q - 18588. Give 1549*j(p) - 8*r(p).\nAnswer: 1549*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 7.6. Let f = 7.6 - s. What is the smallest value in 0.01, 3, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/2 - (-7)\/(-2). Suppose -3*k + 12 = -0*k + w, -3*w = 3*k - 12. Let m = k - 11. Which is greater: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) + 57\/(-9). Let k(s) = s**3 + 231*s + 5 + 6*s**2 + 2 - 2 - 2 - 228*s. Give k(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3294 and 6408?\nAnswer: 1172664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**1\/p*p))**(-3\/13)\/((p\/(p*p**(2\/29)))\/p**5))**27 assuming p is positive.\nAnswer: p**(3969\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52263 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 154602304.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 938122*x**2 + 584377?\nAnswer: 1876244*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137861 divided by 629?\nAnswer: 1809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 < 18\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 4, -3, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6963445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -981444 not equal to -981444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2393?\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 204*v - 8827. Give l(-36).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2808, -11306, -25476, -45324, -70856, -102078, -138996, -181616?\nAnswer: -229944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -218387, -436130, -653879, -871634, -1089395?\n\"Answer: -3*b**2 - 217734*b - 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54602*k - 54632*k + 109234*k - 33*k**2.\nAnswer: -33*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((17535\/(-14))\/(-15))\/((-4)\/(-6824) + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (825\/(-154))\/25*392\/336.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(18\/15))\/((-1)\/2). Suppose 5*y + 1215 = p*a, 5*y = 2*a - 7*a + 1255. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - y**2 + 2*y + 4. Let c be v(-2). Let z be c + (0\/2)\/1. Let k(d) = -6*d + 4*d - 11 - 3*d + z*d. What is k(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.5 - -9. Suppose -i - 4 + 1 = 2*x, 0 = -4*i - 20. Suppose x = 3*l - 11. What is the nearest to 0.2 in -5, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*24\/1020*-5.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42046.94ml to litres.\nAnswer: 42.04694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2042 - 0.0242. Let h = -3.08 + v. What is the closest to h in 1\/3, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 266*r - 162 - 298 + 71*r + 135*r wrt r.\nAnswer: 472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17\/4 + 19\/4. Suppose -21 = 2*v + 3*m, 2*v - 33 = 7*v + m. Let g be 2\/v*0 + 0. Which is smaller: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 14 = -6. Let y be (-63)\/(-4) + (-2)\/(-8). Suppose 0 = 3*z - a*o - o - y, 0 = 4*z - o - 10. Solve -i = 5*m - 20, -z*i + 3 = 3*m - 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -400828, -801654, -1202480, -1603306, -2004132?\n\"Answer: -400826*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -669 + 669.4. Let g = 1\/11 + 31\/22. Sort 12, g, -2, f in increasing order.\nAnswer: -2, f, g, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-33)\/6)\/(11\/(-3740)). Round p to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -35*v**2 + 3*v - 29. Let f(h) = 12*h**2 - h + 10. Let l(i) = -6*d(i) - 17*f(i). Is l(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, 11, -6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 7:10 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6079247 is divided by 206?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5176 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 11:28 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + i**2 - 34*i - 50. Let s be f(6). Which is the nearest to s? (a) -3 (b) -0.6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + c + 1. Let n(k) = -11*k**2 - 5*k - 6. Let u(i) = n(i) + 5*w(i). Let x be u(1). What is the units digit of x*1\/(0 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/(3\/(-18)). Suppose 0 = a + 1 - 13. Suppose -3*o + 2*k + 22 = 0, o - 4*k - a = x*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2.3, 172, -0.146 in ascending order.\nAnswer: -0.146, 2.3, 4, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263.5047l to millilitres.\nAnswer: 263504.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3179\/28 - 453\/4. Which is the nearest to y? (a) 0.5 (b) -13\/3 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1414.\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 22 = 16*o - 21*o, -2*m - 5*o = 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86903 or -86937?\nAnswer: -86937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 44 = i. Suppose 33 + i = t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.033389, 0.4, -195\/7?\nAnswer: -0.033389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 - 10*y**3 + 222*y**2 - 406*y + 196.\nAnswer: -2*(y - 7)*(y - 1)**2*(y + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -587 - -711. Let c = -127 + l. Sort c, -21, 3 in increasing order.\nAnswer: -21, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301212330 (base 4) in base 10?\nAnswer: 203196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 414948 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) - (sqrt(84)*2)\/sqrt(2))\/(sqrt(72)\/sqrt(48)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y + 62 = 4*z, -3*y = 4*z - 65. Calculate the remainder when 34 is divided by z + -6 + 2\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-5)\/20*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*f + 5*f. Let t(a) = a - 4. Let b(w) = -2*w + 6. Let z be 78\/9 + (-4)\/6. Give f*b(l) + z*t(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1089600 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuffffvulfluffvfffu. Give prob of sequence uf.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64346 (base 8) to base 5.\nAnswer: 1324404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**4\/24 + 4*t**2. Suppose -4*g - 2*m + 86 = 0, 5*m - 3*m = 2. What is the smallest common multiple of g and v(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from gsbmkugm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 16*v**2 + 16*v - 4. Let n(l) = 5*l**2 + 5*l - 1. Let a(h) = -2*h - 11. Let y be a(-9). Let u = y + -4. Determine u*b(r) - 10*n(r).\nAnswer: -2*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -24*l**2 - 3*l + 1. Calculate r(3).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 57*l**2 - 2*l + 7. Let b(a) = -a**3 + 5*a**2 + 6*a + 2. Let w be b(6). List the prime factors of v(w).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -4*i - 40, n - 3*i - 94 + 82 = 0 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 23 + 8. Let m(a) = -4*a**2 - 3*a - 8. Let r(s) = -3*s**2 - 3*s - 7. Let w(c) = i*r(c) + 2*m(c). Calculate w(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 45345, 90776, 136207, 181638?\n\"Answer: 45431*n - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*s + 22. What is the greatest common factor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 2, h: 4, y: 6, d: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/2)*z)\/z**2)**43*z**0*z**(-7)*z*(z\/z**0*z)**(-20) assuming z is positive.\nAnswer: z**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*v - 2 = 0, 5*j + v + 0 = 12. Solve 2*d = 4*x, -j*x + 0*x - 4 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1338 - -2771. List the prime factors of j.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180456 divided by 180456?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 a, and 1 l when four letters picked without replacement from wljlwjjjwkwjlal?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Let m = 2.2 - u. Let k = 0 + 3. What is the nearest to -1 in k, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-49)\/14 - -4)\/(2\/8). What is the tens digit of (3096\/90)\/(u\/85)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2763, 2757, 2737, 2697, 2631?\n\"Answer: -l**3 - l**2 + 4*l + 2761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(200)\/(sqrt(80)\/(sqrt(8) + sqrt(16)\/sqrt(2)) + sqrt(10)))\/(5*-2*sqrt(196)).\nAnswer: -2*sqrt(5)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -22. Let s(z) = 4*z**3 + 4*z**2 - 3*z. Let g(f) = 5*f**3 + 2*f**2 + 2*f**2 - 4*f + f**2. Let k = 16 + -22. What is k*s(i) + u*g(i)?\nAnswer: i**3 + i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 - 3)*(2*x**4 - 3*x**4 + 3*x**4) - 295*x**3 - 12*x**3 + 2*x**4 + 197*x**3 + 1 as c*x + v*x**4 + r + h*x**3 + d*x**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*x + 83*x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -88 + -171?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = w. Let i = -43 - -45. Solve w = -i*d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (176\/(-4))\/(-11) + 204\/(-50).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 657.1 - 7307894785.\nAnswer: -7307894127.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 4*r**2 + 4*r + 3. Let o be a(-2). Suppose -o*w + 84 = -w. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = r + 14, -9 + 3 = -r - l. What is the units digit of (-531)\/(-9) - (10\/r - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t - 12. Let l be k(8). Let c be (-24)\/(-9) + 4\/l. Solve f = c*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53003 - 423405\/8. Is 78 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1472 + 4.013\nAnswer: 3.8658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + j - 5*j + (-7 + 0 - 5)*(2*j - 2 + 2) - 35 + 35 + 128*j - 2*j - j + j + 3*j - 3*j - j.\nAnswer: 99*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 210295318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 148\/480*2 - (-54)\/(-72).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s - 4*m, 3*s - 2*m + 9 = -3. Let d(c) = -3*c - 5. What is the remainder when d(s) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 585*x**2 - 520*x**3 - 585*x**2.\nAnswer: -520*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + ((93 - 4) + -5 - -4) + -13 - -6.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*i - 106*i + 53*i - 2 + 2.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 285264 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = 2*n - 11*r + 2, -3*n + 5*r = 9. Solve -2*a + 7 = -a - n*d, 2*d = 3*a - 13 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 8:45 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38081 minus -4361?\nAnswer: 42442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 2 + 0\/4. Suppose -v*n = -29 - 6. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + z + 166. Let h be a(0). Calculate the common denominator of 95\/2 and h\/(-6)*18\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27880 and 8123576?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((((g\/(g*g*g**(-3)))\/g*g)\/g)\/g))**(-40)*(g**(1\/2)*g)**(1\/16))**(-1\/6) assuming g is positive.\nAnswer: g**(1277\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2205) + sqrt(2205)*1)*-3)\/((sqrt(9) - sqrt(81)\/(-2*sqrt(9)))*-2) + 1.\nAnswer: 1 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + y**2. Let c(l) = 7*l**3 - 5*l**2 + l - 1. Let p(m) = c(m) + 4*r(m). Let u = -18 - -19. Let j be p(u). Solve 0*h + j*h - 4 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 + f + 1. Let k be y(-3). Let w be 62\/93 + 82\/(-6). Let h = w + k. Solve h = 5*c - c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/3, 295, -27\/50?\nAnswer: -27\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/50 and 97\/1171900.\nAnswer: 1171900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*i + 118 - 358. Solve 4*h - 4 = -u + 3*h, -i*u + 14 = 2*h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 331793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(2) + sqrt(8)) - sqrt(19))*2 + 3 + 2.\nAnswer: -4*sqrt(19)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3466392 divided by -6?\nAnswer: -577732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1522270 - 121?\nAnswer: 1522147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, g: 5, x: 6, m: 3, l: 1, v: 3}. What is prob of sequence clg?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 11 - (95 - 90)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.54188 kilograms to tonnes.\nAnswer: 0.05354188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -979 - 2*w**3 - 106*w**2 - 9*w**2 - 206*w - 254 + 115*w**2 wrt w.\nAnswer: -6*w**2 - 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2424 (base 5) to base 12\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.74 + 6.9. Round t to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 12062682?\nAnswer: 12062682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -102 + -140625\nAnswer: -140727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/(n*n**4*n*n)))**(3\/38)*n\/n**9*n*(n\/(n*((n*n**(-5))\/n*n)\/n))\/n)**17 assuming n is positive.\nAnswer: n**(-765\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378940417?\nAnswer: 1609, 235513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43575216 - 3?\nAnswer: -43575220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*p + 4*d - 29, 0 = -2*d + 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 421546981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -175\/6. Let y = 0 + 0.5. Let f = 1 - y. Sort n, f, 5 in increasing order.\nAnswer: n, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -15*t. Let b(d) = 3 + 0 - 58*d + 59*d. Let o(l) = -2*l - 12. Let j(f) = -4*b(f) - o(f). Determine s(j(q)).\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 - -83.3. Let f = -15 - -15. Let b = -2 - f. What is the third smallest value in 5\/4, b, a?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(3 + -1) + -1. Is f\/9 + (-10255)\/(-63) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x*x**2)\/x*x*x)\/x)**(-28)\/(x**4\/x**(4\/9)) assuming x is positive.\nAnswer: x**(-1040\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -629 - -468. Sort 0.2, 0.1, c, -0.5.\nAnswer: c, -0.5, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17541, -17540, -17539, -17538?\nAnswer: -17537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 354805, 354793, 354773, 354745, 354709?\n\"Answer: -4*x**2 + 354809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -632 + 628. What are the prime factors of (624\/(-36))\/(h\/72)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(19) + (sqrt(475) - (-1 + sqrt(475))**2).\nAnswer: -480 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29671 is divided by 1557?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101011110011100010011 (base 2) in base 12?\nAnswer: -1224383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 4\/9 (b) 1\/3 (c) -4\/323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10181\/29 - -351. Sort q, 2, -3, 1\/2 in decreasing order.\nAnswer: 2, 1\/2, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1572.247959 to the nearest 10.\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 630492 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**4 + 2*m**4 + 2*m**4)*(53*m - 26*m + 6*m) + (3*m - 6*m - m)*(-5*m**4 + 2*m**4 + 4*m**4) + 3*m**2 - 2*m**5 - 3*m**2.\nAnswer: 60*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31314996929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1108\/663 + 1\/221. Put r, 0.15, 1 in decreasing order.\nAnswer: 1, 0.15, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242345?\nAnswer: 5, 19, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -542 + 783. Solve -p = -59*i + 290 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - 13. Let t = p + -14. Let z = t - 25. What is z rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8715.95167 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-seven fifths of a litre?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1187, 1185, 1181, 1175, 1167, 1157, 1145?\nAnswer: 1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, -5, 4, -1126 in decreasing order.\nAnswer: 4, -5, -58, -1126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09 + 7.09. Let z = r + -6.9. Which is greater: 5 or z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 4 = 16*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - 118*r + 169. What is f(-60)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77196 and 87108?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -17393\/6 at most as big as -2900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**2 - 1861*u + 24*u**2 - 14*u**2.\nAnswer: -u**2 - 1861*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + z - 9, -5*z + 22 = -k. Let w = 2645\/9 - 82064\/279. Let j = 8\/93 - w. Sort j, 5, k in decreasing order.\nAnswer: 5, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 4:44 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 8 + 23*h**2 + 3 - 12*h - 33*h**2. Let n be z(11). Factor -1\/2*t**3 - 1\/2*t**2 + 0*t + n.\nAnswer: -t**2*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*l - 3*d + 702 - 744, -18 = -4*l + 5*d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*0\/((-20)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1407\/292187*(-42)\/(-9).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**3 + 4*b**2 - 5*b + 28. Suppose 4*u - 53 = -5*l, l + 2 - 1 = 5*u. Is y(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 880859 and 265734.\nAnswer: 4921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 + 2*w**2 - 4*w + 5*w - 2*w. Let o(x) = -x**3 - x**2. Let k(i) = j(i) + 4*o(i). What is m in k(m) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499850359 is divided by 1186.\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -11\/10, 2\/47, -2\/335.\nAnswer: -11\/10, -1\/7, -2\/335, 2\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2415*g**2. Let d(z) = 2*z - 63. Calculate j(d(b)).\nAnswer: 9660*b**2 - 608580*b + 9585135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(((-30)\/(-40))\/((-3)\/90))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 158, 0 in ascending order.\nAnswer: -5, 0, 1, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3153*j + 162527 - 600734 = -2538*j for j.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 3*f + 16, 0 = -2*x - 3*x - 3*f - 23. Let v be ((-22)\/(-14) + -3)*x. Suppose 25 - v = 5*o - 2*n, 5*o = -n + 15. Solve o = 5*m - 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -225 + 228. Find the third derivative of -126*n**3 + 10*n**2 - n - 4*n**2 + 25*n**x - 33*n**3 wrt n.\nAnswer: -804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*u, 0 = -3*u + v - 0*v. Solve u*r - 2*r - 2*h + 14 = 0, 4*r + 2*h - 24 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Let a be 19\/38*(-1 + 4). Sort z, a, -2.\nAnswer: -2, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 25. Find the first derivative of 2 - 6 - 2 + o**2 + 3*o**p wrt o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 19 = 3*b, 3*b + 7 = -2*b - 4*f. Let i(w) = -3*w - 11. Give i(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115753*d - 30577*d - 57 + 117 - 60.\nAnswer: 85176*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7372)\/(-1520) - (5 + 1)) + (-4)\/(-10)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.67975 or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 3974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -16 - (-23 - -7) - (-2 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 194*t**3 + t**2 + t - 1. Let f be k(1). Calculate the greatest common factor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 - 5*m**2 - 4*m + 1. Let x(u) = -u**2 - u. Let j(s) = -g(s) + 4*x(s). Let l be j(-1). Suppose -l*d = -13 - 8. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(((-1)\/1)\/((-22)\/88*4))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -4\/1351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -919\/130 + -2\/65. Let a = -582849\/16 - -37060. Let j = 629 - a. Find the common denominator of j and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4) + -7 + 3 + -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 - 4 - 3*d**2 - 4*d + 20*d**3 + 4*d. Let r = 3 - -3. Let h be v(r). What is h rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q**3 - 1742*q + 4 + 1742*q to j + w*q**2 + t*q + m*q**3 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 = -2*r. Let d be 0 + -1*r\/(-1). Calculate the remainder when 45 is divided by -1*((-76)\/4 - d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**7\/42 + m**6\/30 + 3*m**5\/20 - m**4\/12 - m**3\/3 - 12*m. Factor v(g).\nAnswer: -g*(g - 2)*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide (-2)\/8 - (-4858473)\/708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165.911 + -169. Let y = 0.089 + z. Sort 0.06, -0.3, y in decreasing order.\nAnswer: 0.06, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458113 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-155)\/(-35) + 8\/(-2)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1990 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4931, -3, -4, -2, -24 in decreasing order.\nAnswer: -2, -3, -4, -24, -4931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 2 + 2)*(-2*o + 3 - 3 + 5 - 5 - 2*o + 3*o - o + 0*o + (4 - 1 - 4)*(-3 + 3 - o) - 4*o + 2*o + 0*o + 3*o - 3*o - 2*o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**5 - 1133*u**4 + 89086*u**3 - 1824880*u**2 + 4868064*u - 3131136 = 0.\nAnswer: -1208, 1, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23062, 2, -5\/361 in decreasing order.\nAnswer: 23062, 2, -5\/361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j + 4. Let q be u(4). What is the greatest common factor of q and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*((x*x**(-1))\/x)\/x*x*x*x)**4*(x\/(x*x**(5\/2)))\/x**4)\/(((x*x\/(x\/(x\/((x**(-3\/4)\/x)\/x*x)))*x)\/x)**(-21\/4))**(-45) assuming x is positive.\nAnswer: x**(-14023\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-18) - (-50)\/18. Suppose 2*l - 12 + b = -3*z, -4*z = 4*l - 24. What are the prime factors of 8\/(-36) + 47\/l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/766 and -99\/2.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154 - -229. Let f = t - 73.72. Let o = f - 1.27871. What is o rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0 (b) -1\/6 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2. Let o = -46326 - -78304. Let k(f) = o*f - 31978*f + 76*f**2. Give k(c(s)).\nAnswer: 1216*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 163 (b) 1165 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 19260?\nAnswer: 19256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 111.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1860*2.5\nAnswer: -4650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*h**3 - 4*h**2 + 39*h + 11*h**2 + 13*h**3 - 7*h**2 - 5 to the form c + r*h + z*h**2 + l*h**3 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -830.686 take away 118124?\nAnswer: -118954.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -36281\/4995 != -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 2*l + 24 = 0, 446*j - 443*j + 3*l + 9 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3178141 (base 9) to base 13.\nAnswer: 479230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6280, -45066, -150344, -355360, -693360, -1197590?\nAnswer: -1901296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8923 + 31*t**3 + 0*t + 8923 + 0*t.\nAnswer: 31*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u - 6. Let r be p(2). Let t be 1\/6 - 33\/r. Let s be (t\/24 - 0) + (-11)\/(-44). Are -2\/3 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1*sqrt(160)\/sqrt(8) + sqrt(20))\/(-4*sqrt(360) - sqrt(360) - sqrt(10)))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 9*z**2 + 24*z + 219. Give h(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -31.87942 times 2\nAnswer: -63.75884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 + (6 - (0 + 13)). Suppose k*b = 6*b + 5*w - 543, -701 = -4*b + w. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -747, 0.3 in decreasing order.\nAnswer: 0.3, -2\/5, -747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 5, 4 in descending order.\nAnswer: 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (18 + 1 + (30 - -11 - -33))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 0 - (-3 + -38). Let k = i + -24. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408976.6 rounded to the nearest ten thousand?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -745 divided by 7?\nAnswer: -745\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22170 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4305 and 1166258940.\nAnswer: 4305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.03743 (b) -2\/5 (c) 2 (d) -750 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 41. Let d = 3406 - 30653\/9. What is the third biggest value in z, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 9:37 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1454 is divided by 464?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -2, 0.27, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128 is divided by ((-24)\/120*(-9)\/1)\/((-1)\/(-10))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1895 = 5*l - 4*w, 3*w = -l - 2*w + 408. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 575 and 13869075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**5\/20 - 3*u**4\/4 - u**3\/6 + 9*u**2\/2 - 575*u. Factor g(y).\nAnswer: (y - 9)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -27.909. Let i = k + -39.909. Let m = i - -44. Which is the nearest to -1? (a) m (b) -3\/4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 + -1.1. Suppose g - 3*z = -5 - 9, 0 = -g - 3*z + 4. Put g, 0.2, j in descending order.\nAnswer: 0.2, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9751568 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/665 and -5\/156760317.\nAnswer: 783801585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*y - 56*y = -456. Let h be 19\/y - (245\/24)\/(-7). What is the third smallest value in -14\/9, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-295*d**2 - 2*d**3 + 700 - 355*d**2 + 650*d**2 - 2*d**4)*(1 - 1 + 2) as s + b*d + j*d**3 + w*d**4 + h*d**2 and give s.\nAnswer: 1400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -240\/593 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160 and 80?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -50, -57, -62, -65?\n\"Answer: w**2 - 10*w - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q + q - 6*q. Let k(p) = 3*p - 4. Let m = 10 - 6. Let g(h) = -h + 1. Let x(d) = m*g(d) + k(d). Give x(n(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13103419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000040393152 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**3 + 8*p**2 + 5*p + 1. Let g(h) = 11*h**3 + 16*h**2 + 11*h + 1. Let j(k) = -9*c(k) + 4*g(k). Let v be j(-8). Solve 6 = -v*d - 0*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -424686.664 rounded to the nearest ten thousand?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.010958 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1946307.\nAnswer: 3, 11, 58979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28136, -56275, -84414, -112553?\n\"Answer: -28139*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 20*x - 75. What is p(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*z - 64 = 84*z. Solve 1 - z = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1111031313 - -321?\nAnswer: -1111030332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-140)*-5*0. Solve z = -82*w + 81*w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -233.176 + 233. Let v = r - -0.076. Which is the nearest to v? (a) 0.07 (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 222754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5 + 76792*o**4 - 12880042*o**3 = 0. What is o?\nAnswer: -38563, 0, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 5. Let s = n + 9. What is the highest common factor of 18 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 + 2*v + 6125*v**2 - 6131*v**2 + 6*v**3 as t + i*v + y*v**2 + z*v**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2883121523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 5) + 18 - (30 + -15 - -25)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8 + 0.4. Let g = 0.1 + a. Let u be ((0\/(-1))\/2)\/(-2 + 7). Which is bigger: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2084350 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -2058639773?\nAnswer: 2058639775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, 0.2, -2\/69?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38484781 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -230*i**2 + 110*i**2 + 119*i**2. Let g(j) = -j + 32. Give g(f(s)).\nAnswer: s**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 12:44 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201604273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132802 is divided by 13278?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, x: 6, s: 2, p: 4}. What is prob of sequence kxss?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 17?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46709.\nAnswer: 13, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 330 times 271504\nAnswer: 89596320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 1\/973 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3458 and 3952.\nAnswer: 27664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from bjmcccpcb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/10)\/(3\/(-15)). Let o = 1328 - 929. Let i = o + -383. Solve -6*w + n*w = 2*u + 22, -i = 4*w - 4*u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12498 - -62492\/5. Find the common denominator of h and (-14)\/(-5)*245\/42.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 163, 564, 1219, 2140, 3339, 4828, 6619?\n\"Answer: 2*v**3 + 115*v**2 + 42*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44 and 129\/4787800?\nAnswer: 4787800","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 52*z + 56. Give i(-51).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + sqrt(3840)*1 + sqrt(3840))\/(sqrt(36)\/(sqrt(6)\/sqrt(2))))**2.\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -25 * -4361840\nAnswer: 109046000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**5 - i**5 - i**5 + (2*i - 4*i + i)*(-2*i - i**4 + 2*i) + (-3 + 3 + 5*i**2)*(i**3 + 3*i**3 + 0*i**3).\nAnswer: 22*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Suppose 4*u + 2 = v + 37, c*v = -6. Suppose 5*a - 10 = 0, -h + u = -3*a + 2. Calculate the least common multiple of h and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grtg when four letters picked without replacement from {r: 7, m: 4, g: 2, e: 3, t: 3}.\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1735\/7 - -243. Let k = -98 + 685\/7. What is the third biggest value in 3, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g**2 + g + 8. Let w be i(4). What is the lowest common multiple of (-8 - -1)\/(14\/w) and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27266898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 182 - 160.8. What is m rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, -5\/4, -0.03?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (42 - (4 + -1)) + (-60 - -56)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5 - 30*i**4 - 114*i**3 - 146*i**2 - 60*i = 0.\nAnswer: -10, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 - 230*n + 450. Let t be i(2). Let s be 9\/2*(-1)\/(-3). Which is the fourth biggest value? (a) 3\/4 (b) 3 (c) s (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3 + 168*y**2 + 608*y = 0. Calculate y.\nAnswer: -38, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4230\/(-1692)*3\/(-15)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-260)\/(-8) - 2\/(-4). Suppose 0 = d + 13 - c. Suppose 9*j - 4*j = d. Solve -j*f + 2 = 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 19*g - 9. Let w(j) = 11*j - 4. Calculate -4*i(s) + 7*w(s).\nAnswer: s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 10, -194.\nAnswer: -194, -3, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1249 - -1244. Let m = 0.5 + -0.3. Which is the closest to -0.1? (a) j (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**3 - 3*f**2 + 5*f - 10. Let m be g(4). Let z = 234 + m. What is a in -2\/17*a**z - 6\/17 + 4\/17*a**3 - 4\/17*a + 8\/17*a**2 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33437\/6 + -5585. Let v = -46003\/106 + 434. What is the common denominator of o and v?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 1.4, 0.3, -1, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -13.75 (b) 0 (c) -10\/9 (d) -1\/4 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 772, 1537, 2302, 3067, 3832, 4597?\n\"Answer: 765*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/2*(-27)\/(-6). Let j = b - -13. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h - 10. Let w be f(-4). Suppose -8*y + 5*y = -w. Find the second derivative of v + 5*v - 5*v**y - 4*v - v wrt v.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -28. What is the second smallest value in 3, x, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -5. Calculate the highest common divisor of b and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -73, -110, -147?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4298744*b**3 - 13*b**2*s**3 + 141*b*s**3 + 587*b*s**2 + 3*b + 3*s**3 + 3*s**2 + 6 wrt b.\nAnswer: 25792464*b - 26*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 3*d + 1188. Suppose -5*b = -43 - d. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17 - -3) + (0 - 1). Let r(f) = -f**3 - 14*f**2 - 6*f - 22. Is r(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 14*y + 7. Let n(l) = -l**3 + l**2 - l + 3*l**2 + 0*l**3. Let m be n(3). Let z be c(m). Calculate the greatest common divisor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18790 is divided by 2949.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*g**2*w - 3*a**2*g**2 - 4*a**2*g*w**2 + 13*a**2*g*w - 36*g**2*w**2 wrt w?\nAnswer: -8*a**2*g - 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 128 from -0.07.\nAnswer: -128.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 11. Suppose -3*a + 4 = y + v, 3*a = 4*y - 20. Let i be 3\/18*a*-3. Solve 4*w - i + 14 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5249 = -2*h + 1340, h + 19509 = 5*c. What is the highest common factor of c and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326181228?\nAnswer: 2, 3, 73, 372353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343705082?\nAnswer: 2, 7, 17, 821, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 181527 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 12*s**2 - 5*s + 94. Suppose 7*h - 4 = 6*h + 3*d, 3*h - d - 20 = 0. Is j(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 11. Let k be g(-2). Is (-17)\/(2040\/(-16)) - (-8113)\/k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*u + 0 + 1 - 1 as h + i*u and give i.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-1*13\/((-78)\/4).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + u = 8, -4*u + 2 = -5*r + 3. Let c = 7 + -6.9. Sort 0.9, c, r, -4.\nAnswer: -4, r, c, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 56, 113, 164, 209, 248?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16736 + -6536. List the prime factors of w.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -15*s - 1. Let y be i(1). Let u be 2*(-1)\/2*-2. Is (u - 4)\/(2\/y) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 20 - 19) + 28 - (-2 + 2)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 - 7. Suppose -z + o = z. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, 1, -5, 1021, 16, 2 in descending order.\nAnswer: 1021, 16, 2, 1, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -7*j + 4*a + 18, 0 = 4*j + 2*a - 30. Let z be j\/4*(7 + -5). Solve -2*k - 3 = -z*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**6\/12 + d**5\/2 + d**4 + 2*d**3\/3 - 107. Factor j(s).\nAnswer: s**2*(s + 1)*(s + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 119*t + 2057. Calculate q(-17).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17590581.\nAnswer: 3, 651503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 85*q + 57 - 26 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**3\/3 - 2. Let j = -20 - -29. Let q(x) = 24*x - 14*x - j*x. Determine z(q(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 2*t - 5. Suppose -6*k - 29 = 1. Calculate y(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -185*s + 42*s + 49*s + 39*s + 44*s. Let y(g) = 62*g**2. What is p(y(w))?\nAnswer: -682*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 21*k**2 - 4*k + 43. Let p be l(-21). Suppose -4*o = -4*x + 1052, -x - 2*o + 405 = p. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q = -120. Solve h + 5*h + q = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7\/102 (b) 1\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115\/468 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-12)\/(-7))*((-19)\/(-38) + 0).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 52*b - 114. Give i(-48).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1963*p*w**2 - 283*p*w - 2*p wrt w?\nAnswer: -3926*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/6 + 2\/(-6). Suppose -5*s + 116 = -2*h, z*h = -5*s + 6*h + 122. Let p = s - 7. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 1\/5, 2, 3 in increasing order.\nAnswer: -4\/5, 1\/5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2896 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - -241?\nAnswer: 22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + (-20)\/5 + -1. Solve s - 4*q = w, -s - 4*q - 2 = -3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6040377 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10456220 to the nearest integer?\nAnswer: 3234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 238511852 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 244 + -233. Let a = i + -7. Solve -a - 1 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22100 - -22111. What is the remainder when 2 - (2 - 1) - -54 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -15 + (-4 - 0) - -21 - 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.67 + 0.13. Let m = 0.5 - 2.3. Let w = m + q. Which is the second smallest value? (a) -12 (b) w (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/10673 + 288179\/42692. Suppose 40 = 3*t + 16. Which is smaller: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17501204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4 - 13*a**3*y**2 - 136*a**3 - 10*a**2*y**2 - 82*a + 4 wrt a.\nAnswer: 24*a - 78*y**2 - 816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w + 24. Let f(x) = -1. Let c(z) = 24*f(z) + u(z). Let p(j) = j**2. Calculate p(c(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 27 = -4*j + 4, 5*p - 31 = 3*j. Let o be j\/(-7) - (-66)\/14. Suppose -1 + 16 = 3*v. Is o at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + (2*sqrt(3))**2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*o + 56*o = 360. Suppose m + o = 9*m. Let c(b) = b - 4. Determine c(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10498 (base 10) to base 4\nAnswer: -2210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Let s be 8 + 2 + m + -7. Is s\/1*10\/2 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25270840 to the nearest integer?\nAnswer: 5027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.357239 decades in months?\nAnswer: 642.86868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 - -10413?\nAnswer: 10352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -683458.836 - -27.\nAnswer: -683431.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 45*s**2 + 88*s - 75. Let t be n(43). Find the third derivative of -12*j**2 + t*j**2 - 51*j**3 + 17*j**5 + 36*j**2 + 49*j**3 wrt j.\nAnswer: 1020*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Suppose -r*y + 5 = -8*y. Suppose -69*c = -65*c + 4. Is y < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -19 (c) 1\/5 (d) 2 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299 - 99 = k - 5*b, 2*k = -b + 356. What is the remainder when k is divided by 152?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 9*w**2 - 25*w - 6. Let d(r) = 6*r**2 - 17*r - 4. Let s(q) = -7*d(q) + 5*i(q). Is s(4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 9*b**2 + 479*b - 378. Give n(-54).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16079 is divided by 2640?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/451, 4, 1\/42, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110111010222 (base 3) in base 4?\nAnswer: 10333133312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**4\/6 + 2*b**3\/3 + 2*b**2 + 6*b. Let j(i) = i**2 - 3*i - 3. Determine -3*c(k) - 4*j(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 10 = -18 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 5*z**2 - 18*z + 30. Let w be u(7). Suppose 4*j = -12, 3*n - 27 = 5*j - 0*j. Let a be n\/3 - 1*w\/6. Sort -1\/3, 0, a, 2 in decreasing order.\nAnswer: 2, a, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (9\/15)\/(-3). Let y(j) = -j - 3. Let f be y(-3). Let z = f - -3. Is n smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -957.\nAnswer: -957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5416 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*c + 36992 + 14228 = -630 for c.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 11:26 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 45332145.\nAnswer: -45332147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/4)*((l*l**8)\/l)\/l*l*l*l*l\/l**(-2\/7)*l**(1\/4)*l assuming l is positive.\nAnswer: l**(179\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-4)\/(-8)*14\/21.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -212*v**5\/5 + 815*v**2\/2 - 10*v + 4. Find the first derivative of m(r) wrt r.\nAnswer: -2544*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99202930 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 59 - 28 - 4*y - 24.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 15 + (-16 - -8) - 85 - (-21 - -5).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 272757528 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18371, -19570, -20769, -21968, -23167, -24366?\n\"Answer: -1199*t - 17172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjhkj. Give prob of sequence kh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 12 = 4*o. Suppose 3 = u + 5*j - 10, 0 = 4*u - j - 10. Is u at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/20*(-28)\/637?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**5\/300 - j**4\/10 + 6*j**3\/5 - 30*j**2. Determine y, given that b(y) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122595352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3*m - 195 = -0*c, 61*c - 58*m + 3526 = 58*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 222 + -214. Solve 17 = 5*g - x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*n**3 + 29*n**2 - 8*n**2 + 55*n**3.\nAnswer: -14*n**3 + 21*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104 + -97. Let o be ((-2)\/(-6))\/(6\/(-11576)*4). Let f = 161 + o. What is the third biggest value in u, -2, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let r = -39 + 44. Let n(j) = 1263*j - 1263*j - r - 8*j**2 - 5*j**2. Let t(l) = 64*l**2 + 24. Let v(z) = 24*n(z) + 5*t(z). Calculate v(m(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2\/5))\/h**(-2))**(-4) assuming h is positive.\nAnswer: h**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 4:07 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -177938838 from 47.\nAnswer: 177938885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 102*t - 105*t. Calculate the greatest common factor of 44 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Suppose -1 - 17 = -j*c. What is the first derivative of -1 + c*b + 1 - 4 wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/3131328 and -13\/16.\nAnswer: 3131328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*f + 91*f = -121*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1953276 and 312.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 258*a**2*o**2 - 16*a**2 + 2*a*o**2 - 8466*a*o - 47*o**4 wrt o.\nAnswer: 516*a**2 + 4*a - 564*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3 - 4 + 1 - 4*l. Let u(d) = -d**2 - 11*d - 12*d + 23*d. Give c(u(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13563 times 2\nAnswer: -27126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3701481 is divided by 3522.\nAnswer: 3381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(1000) + sqrt(40))\/sqrt(2))\/(sqrt(8)\/sqrt(32)))**2*-1.\nAnswer: -17280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 0 - y**2 + 0*y**4 + 0*y**3 + 1\/12*y**5 + 0*y. Let k(i) = 96 - 34 - 28 + 7*i - 34. Give k(d(h)).\nAnswer: 35*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-8) - (-1)\/4. Suppose 5*m + 5*g = -5, 7*g = 2*m + 4*g - 18. Suppose k = -m*k + 20. Solve w*a - 5 = k*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-23)\/((-69)\/42))\/(-2 + 4). Suppose 2051 = k*f - 19250. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-420)\/(-8) - -6)\/(6\/((-132)\/(14 - 3)))\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbt when four letters picked without replacement from jjbbjbtt?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*(-36)\/6. Suppose 4*o - 8 + 4 = v*w, 2*w - 4 = 4*o. Let q(g) = -g - 9. Let u be q(-4). Sort -1, u, o.\nAnswer: u, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 12*q - 21. Calculate a(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, f: 8, x: 4}. Give prob of picking 2 x.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + 2*sqrt(187)*-1 - (sqrt(187) - -2*sqrt(187)*4))\/(5*1*sqrt(1584)*3).\nAnswer: -sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 908084?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 17*z**3 + 2*z**2 + 3*z - 6. Let t be j(2). Is 19 a factor of (t\/(-15) - -2)\/((-7)\/70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**23\/m))**(2\/25)\/(m\/m**37)**31)**(-35) assuming m is positive.\nAnswer: m**(-195006\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**6\/120 - y**5\/15 + y**3\/2 - 9*y**2. Let w be x(-4). Which is smaller: 5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 3763.92.\nAnswer: 45167.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 526739074 to the power of 1\/4, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -63, -66, -49, -6, 69, 182?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/33 - -4\/11. Let s = -1073\/12 - -423\/4. Let y = s + -239\/15. What is the closest to g in 1, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.5 + -2.2. Let j = 351\/8 + -44. Which is the second smallest value? (a) j (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-8)*-3*3*(-88)\/99?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**2 + r + 23. Let o(p) = 6*p**2 - 24. Let v(t) = -5*j(t) - 4*o(t). Let y be v(8). Solve -y*b + 7 = 32 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + 0. Let b = -14 + 16. Let u be ((-3)\/6)\/(5\/b). What is the smallest value in -2\/5, u, x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 240? (a) -4 (b) -220 (c) 3 (d) -10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1010100000212 (base 3) to base 8\nAnswer: 2216122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/o**23*o)\/o**(-24) assuming o is positive.\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2641*q**3 + q - 153.\nAnswer: 15846*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 4*d - 3*d + (4 - 4 - 1)*(d + 3*d - 3*d) + (0 + 0 + 2*d)*(-1 + 2 - 3) + 0 - d + 0 - 3*d + 0*d + 2*d + 12*d - 9*d + 11*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -2, -15, -28, -41?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 23. Let l = g - 6. Let d(n) = n. Determine d(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2403 - 2403. Let u(o) be the first derivative of 0*o + j*o**3 - 5*o**2 - 8 - 7\/2*o**4. Find the second derivative of u(t) wrt t.\nAnswer: -84*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 217664205*w - 132024352 wrt w?\nAnswer: 217664205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 12*n**2 + 36*n + 20.\nAnswer: -4*(n - 5)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d - 1. Let u(y) = -2*y - 2. Let s(t) = t. Let a(m) = -3*s(m) + u(m). What is -5*a(n) + 8*q(n)?\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = -14*m - 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.077.\nAnswer: -0.0231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*j**3\/5 - 128984*j**2\/5 + 25798*j - 32248\/5.\nAnswer: -2*(j + 16124)*(2*j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.2 (b) -39905.7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19958034, 39916091, 59874160, 79832247, 99790358, 119748499, 139706676, 159664895?\nAnswer: 179623162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 394*j**2 - 396*j**2 + 8*j**4 + j**3 + 1170*j**2 - 387*j**2 + j to the form o*j**4 + c*j + d + w*j**2 + f*j**3 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.51 + -0.89. Let x = c - -0.37771. Round x to four decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -442 + 1526?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5.9*649\nAnswer: 3829.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 180359 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19609 + 19601. Sort v, 155, 2, -4 in descending order.\nAnswer: 155, 2, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*g = -n - 6, 4*g + 32 = 2*n. Suppose 0 = -4*u + 42 + n. Suppose 3*q - u = 2*a - 115, 4*a + q = 224. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)*-2 + sqrt(306))\/(sqrt(2) - ((sqrt(24)\/sqrt(3) + sqrt(8) - sqrt(8)) + sqrt(8))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 288 = 3*u - 2*u, -3*p - 1436 = -5*u. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52a70 (base 15) in base 10?\nAnswer: 262230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 6746, 3, -4, 5, -13 in descending order.\nAnswer: 6746, 9, 5, 3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24017, -53968, -103887, -173774?\n\"Answer: -9984*f**2 + f - 14034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**6\/120 + g**5\/5 - 15*g**4\/8 + 17*g**3 - 8*g. Let o(q) be the second derivative of w(q). Solve o(s) = 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -24, -32, -42, -54?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekge when four letters picked without replacement from gkegekegegeg?\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -880c + 3?\nAnswer: -8809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 + -908\/7. Let j = 20.5 + -21. Which is the nearest to t? (a) -3 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6419275\/120 - 2 - 7\/(-168).\nAnswer: 2, 43, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 28, 1\/4, -1\/2, -813?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(85)\/sqrt(5) + -2)**2 + ((sqrt(833) + 0 + 1 - sqrt(833)) + sqrt(833))**2.\nAnswer: 30*sqrt(17) + 1110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209 + 184.7. Let l = 23.3 + x. Is l <= 4\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 29525482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 7*r**2 + 8*r + 8. Does 4 divide j(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.43 (b) -4\/3 (c) 0 (d) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 676 + -684. Let w(m) = -m**3 + m**2 + m + 1. Let b(f) = -6*f**3 - 3*f**2 + 5*f. Let q(p) = -b(p) + 5*w(p). Calculate q(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2) + 1 + -4 - 5*sqrt(2)*-1).\nAnswer: -30*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 65, -1, 5, 2 in increasing order.\nAnswer: -1, 0, 2, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(3\/8))\/(n**(9\/2)*n) assuming n is positive.\nAnswer: n**(-39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7163806504 rounded to the nearest one hundred thousand?\nAnswer: 7163800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 559, 1241, 2391, 4171, 6743, 10269?\nAnswer: 14911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + -22 + 17.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73892 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rreerrrreeeerrk. Give prob of sequence kr.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y - 24. Let n(b) be the first derivative of b**2\/2 + b - 1274. Calculate 5*n(k) + s(k).\nAnswer: k - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/8)\/((2349\/(-1728))\/29)*(-2)\/3?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = 0, -5*u = 2*t - 5*t. Suppose -v = -t*v + 56. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2055 by 5.\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 415290, 830578, 1245866, 1661154, 2076442, 2491730?\nAnswer: 2907018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 + 7*f**2\/4 - 833*f\/4 + 825\/4.\nAnswer: (f - 25)*(f - 1)*(f + 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 - 1 - 322*o**3 - 45*o**3 + 3*o**2 + 2*o - o - o**4 - 6*o**3 as j + s*o**4 + w*o + g*o**2 + t*o**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v**2 + 150*v**2 + 276*v**2 - 3.\nAnswer: 402*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.434 rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9368*k = 9386*k - 396 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) 2 (b) 4 (c) -7\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - ((-4)\/(-2) + -4). Suppose -4 = c - 31. Suppose c = q*x + 7. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = -51 - 1. Suppose d + v + 21 = 6*v, -32 = -3*d - o*v. Suppose -t = -3*c - 45, 4*c - 263 = -t - d*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + y**2 - 536*y - 1876. What is b(0)?\nAnswer: -1876","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 26 + -6 - (-2 + 3 + -1)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70704 + -90096. Round p to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102120243 (base 5) to base 15.\nAnswer: -864b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1032062?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 17*l**3 - 4*l**2 + 2*l - 4. Let j(n) = -16*n**3 + 5*n**2 - 3*n + 5. Determine -4*j(z) - 5*w(z).\nAnswer: -21*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -282597\nAnswer: 1130388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 11. Let x be w(11). Which is greater: -2\/21 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/8762628 and 107\/420.\nAnswer: 43813140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 224 + -192. Calculate the remainder when h is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/7 (b) -1 (c) -10\/11 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (228\/(-513))\/(33\/27).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 346\/51 - ((-4480)\/(-238) + -19).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*x - 116 = 0, 4*b - 2*x + 116 = -x. Let v = 56 + b. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -2. Suppose 24*q - 68 = -1028. Let s be 22\/4 - 5*v\/q. Solve 0 = -3*n - 1 - s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4472, -8950, -13428, -17906?\nAnswer: -22384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 2*w - 4. What is the tens digit of v(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116\/215 + -6\/43. Let x be -3 + 5 + (-7)\/5. Which is the nearest to x? (a) -4 (b) 2\/13 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 103323210?\nAnswer: -103323210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3650*p = 3592*p + 661 + 35 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14811.7 years in centuries?\nAnswer: 148.117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 2*h + 4. What is k(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 5. Let g = i + -6. Suppose u**4 - 4 + 4*u**g + 2 - 5*u**4 + 2*u**4 = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 + (-1952)\/(-64))*20\/6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 3\/38 (b) 0.3 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 907906 - 692094 = 0. What is m rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f. Let r(h) = -913*h**2. Calculate n(r(b)).\nAnswer: -913*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*d + 378 = 99*d - 204*d. Solve -52*t = -66*t + d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 25\/(-2) - (-141)\/94. What is the closest to -1\/2 in 0.2, 1, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -743*q**6\/30 + 326*q**2 + 2*q - 754. What is the first derivative of o(g) wrt g?\nAnswer: -2972*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11*c - 1. Give p(-5).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 9:22 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seventeen quarters of a second?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7315951 is divided by 24716.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.457 (b) -11 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95*o**5 - 2*o**2 - 533*o.\nAnswer: -1900*o**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-216)\/(-324)*((-14)\/63 - 22\/(-18)). Let 0 + t*g - 1\/3*g**3 + 1\/3*g**2 = 0. What is g?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4433, 4389, 4281, 4115, 3897, 3633, 3329?\nAnswer: 2991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 4*j**2 + 2*j**2)*(-1 + 2 + 1) + (-348 + 78 - 73*j + 72*j)*(24 - 5*j - 24).\nAnswer: j**2 + 1350*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 1)*(2 - d**3 - 2) + 136008 - 136008 + 261*d**3 + 0 + 0 - 3*d**3)*(0*d + 0*d - d).\nAnswer: -259*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - -577. Let r be (-4)\/14 - (-264)\/b. Let d be 10\/(-8)*(-1 - -2). Sort r, -4, d in descending order.\nAnswer: r, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**1)**(-2\/27))**(-5\/9)*((b**(-2\/3)*b)\/b**(-9))**49 assuming b is positive.\nAnswer: b**(111152\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4092 + 51*s + 4092.\nAnswer: 51*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2 - 1. Let x be j(-1). Let g(l) = 2*l**2 - x*l**2 + 6*l**2 + 3*l. What is the tens digit of g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 215 and 301?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10966 + 1863 - 103505 = -69*f. What is the highest common divisor of f and 1248?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -26*k - 3. Let u(m) = 26*m + 4. What is -6*p(w) - 5*u(w)?\nAnswer: 26*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d + 29*d + 27 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*q, 5*q = 3*l - 250 + 234 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24, 2\/3, 1, -242?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10873, 86888, 293145, 694738, 1356761, 2344308, 3722473?\n\"Answer: 10849*c**3 + 27*c**2 - 9*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13352356 + 1?\nAnswer: -13352355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2. Let k(p) = p + 17. Let m be k(-15). Let a(d) = -d + 6. Let q be a(5). Let s(u) = q + 2*u**m - 1. Give s(z(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7467722 and 2014?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqj when three letters picked without replacement from {j: 1, f: 1, k: 1, a: 1, q: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26867?\nAnswer: 67, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4661454*b**4*i**2 - 3*b**3*i**2 - 3*b*i**2 + 11*b*i + b + 106*i**2 - 101*i - 3 wrt b?\nAnswer: 55937448*b**2*i**2 - 18*b*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3704240 take away -5164158?\nAnswer: 1459918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 13*r. Let f(q) = -2*q. Let p(x) = 3*c(x) + 21*f(x). Let d(o) = -4*o. Determine -3*d(t) + 2*p(t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Differentiate -6 + h + 0 - 5*r + 9*r with respect to r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 393*x**2 - 6038*x + 2266. What is i(377)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 11) + (-1 - -3 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 283077635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 21 = -5*n, 8 = n - 3*l - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1715*19.79.\nAnswer: -23.183985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -2\/5*p**5 + 0*p + p**4 - 2*p**2 - 21 + 2\/3*p**3. Factor a(l).\nAnswer: -2*l*(l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 35 = -6*j. Let r be j\/38 - (-485)\/95. Solve -5*l + 16 = -r*a + 6, 0 = -a + 4*l + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 3\/8 (c) 2 (d) 3\/4 (e) 0.08 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 864 and 436185.\nAnswer: 13957920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6071, -12102, -18121, -24122, -30099, -36046, -41957?\nAnswer: -47826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-2\/5))**47)**26)**6)**42 assuming v is positive.\nAnswer: v**(-615888\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(605) + -2)*-1*-6 - ((1*sqrt(165))\/sqrt(3))\/(sqrt(396)*-2).\nAnswer: 793*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0027049 to 5 decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.087 in 4, 16108, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 2\/9 (c) 3\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 28 = 2*p, 0 = 5*m - 0*p + 2*p + 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**4\/3 + n**3 + 2*n**2 - 5827*n. Give d(-5).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**8\/56 + h**5\/5 + 20*h**2. Find the third derivative of n(b) wrt b.\nAnswer: 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/14 + 2 + 220\/(-35). Let x(f) = -15*f**2 + 19*f + 2. Let b be (3\/(-3) + 2)*(-33)\/3. Let a(w) = 8*w**2 - 10*w - 1. Determine b*a(v) + t*x(v).\nAnswer: 2*v**2 - 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40480 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 941219721*g**3 - 957995131*g**2.\nAnswer: 5647318326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*(n\/(n*n**(-23))*n)\/n*n*n*n*n)**(-31) assuming n is positive.\nAnswer: n**(-930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031221300 (base 5) in base 4?\nAnswer: -20123300021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 4 + 5*y - 4*y.\nAnswer: y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160661 is divided by 71?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + s - 15. Suppose -2*m - s*m = 2*k - 133, -m = 2*k - 25. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 383 - ((-72)\/(-3))\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 5*l - 29 = 0, 2*a + 3*l + 27 = 24 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = c + 12. Let g = c + 14. Let h(x) = 14*x + 1. What is the remainder when h(2) is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26717843\/551628 + -34\/12537. Let i = 193\/4 - q. Let b = -5.9 + 0.9. What is the smallest value in -1\/4, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1709682 and 299.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 + 2262 = 139*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2922973301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 815*a**4\/2 + a**2 + 3244*a + 1. Let k(z) = z**2. Calculate s(k(y)).\nAnswer: 9780*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -24. Which is the nearest to 2? (a) -0.1 (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 70 - 68 = 0. Let r = u + 54. Does 3 divide (5\/((-60)\/16))\/(r\/(-108))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1863*o + 150*o**4 + 1863*o + (-o**4 + 2 - 2)*(3 + 10 - 3).\nAnswer: 140*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225781280?\nAnswer: 2, 5, 653, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 0*z**3 - 2*z**3 - 4 + 4 - z**3 + (-1 + 1 + 2*z)*(2*z**2 - z**2 + 0*z**2) + 3*z**3 - z**3 - 4*z**3)*(915*z + 904*z - 656*z).\nAnswer: -2326*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (37*(-3)\/2)\/((-300)\/1400)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a56 (base 11) in base 7?\nAnswer: 21230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001473222236 to six decimal places.\nAnswer: -0.000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1537423 or 1537424?\nAnswer: 1537424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*r**4 - 1254*r**2 wrt r?\nAnswer: 600*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.735025 to 2 decimal places.\nAnswer: -1.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/15 + 14728\/(-3). Let m = 34420\/7 + s. Find the common denominator of m and 29\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 7*d + 4. Determine n(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c*m**2 - 9*c*m - 331855*c - 106*m**2 - 4815*m + 209 wrt m.\nAnswer: -2*c*m - 9*c - 212*m - 4815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-126)*(-2)\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 173*s**7\/210 - s**4\/3 + 901*s**3\/6 - 1775*s**2. What is the derivative of c(y) wrt y?\nAnswer: 692*y**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.77 less than 266?\nAnswer: 282.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g - 3 - 4 + 4. Let x(c) = -c**3 + 5*c**2 - 2. Let w be x(5). Give k(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 20*s. Let t(z) be the third derivative of z**2 + 0*z**4 + 0*z**3 - z + 0 + 1\/30*z**5. What is t(w(v))?\nAnswer: 800*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 904, 988, 1016, 958, 784?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79*-1.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*v*z**3 + 18336*v - 82*z**3 + 15585*z + 213 wrt z.\nAnswer: 9*v*z**2 - 246*z**2 + 15585","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/3 (b) -0.4 (c) 27 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*y + 0*y + 34 = 0, -7 = -c + y. Suppose s + 2*t = c*t - 51, s + 15 = -5*t. Let x = 63 + s. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-4*((sqrt(108)*-2*-2)**2 + sqrt(108))*5.\nAnswer: -138240 - 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -37*k + 19. Let w(l) = -12*l**2 - 2*l**2 - 5*l**2 + 20*l**2 - 2*l**2. Calculate q(w(d)).\nAnswer: 37*d**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 91940 to the nearest 1000.\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -34*h**3 + 54*h**2 - 34*h + 14. Let n(z) = 7*z**3 - 11*z**2 + 7*z - 3. Let b(i) = 14*n(i) + 3*w(i). Factor b(a).\nAnswer: -4*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*d*w**3 + 2478*d*w**2 - 2*d*w + 24*d - 981*w**3 + 802*w + 2335 wrt w?\nAnswer: 54*d*w + 4956*d - 5886*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/40 + 2\/5. Let s be (-11)\/(-10) - 6\/(-15). Which is the closest to -1? (a) o (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*a**2 + 27*a**2 - 64*a**2 - 26*a**3 + 18*a**2 to j*a**2 + g*a**3 + i*a + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3343.\nAnswer: 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2679 and -97\/132.\nAnswer: 117876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003834919 rounded to five decimal places?\nAnswer: 0.00383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 21*o - 37. Calculate t(22).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2859, 80\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 82 = -5*s, 0 = 2*s - 0*q - 3*q - 37. Suppose 66 = 6*x - 90. What is the remainder when x is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*o + 72*o - 248 = 0. Let b = 125 + o. Let z be (b\/2)\/((-2)\/4). Which is smaller: z or -1\/23?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24 - 273c?\nAnswer: -2760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 13*k - 335. Let g be m(26). Suppose -18 = -3*v + g*t, 5*t + 8 + 7 = 2*v. Solve 0 = y - v*y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1332 and 62308?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, k: 3}. Give prob of picking 1 k and 2 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + a + 2 = 0, -3*a = -5*m + 362. Let i = m + -12. Does 39 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtotxtxx. What is prob of picking 2 t?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttyt when four letters picked without replacement from {y: 12, t: 6}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22440 is divided by 3953.\nAnswer: 2675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = 6*s - 265. Let z(h) be the first derivative of h**2 + 10*h - 1. What are the prime factors of z(s)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**2 - 30518564*k - 640891608 = 0 for k.\nAnswer: -21, 7629662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -782 - -777. Let q = 75 - 77. Sort q, 86, 3\/4, a.\nAnswer: a, q, 3\/4, 86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -921.46 * -78.\nAnswer: 71873.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4461304 or -135?\nAnswer: -4461304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -142 (base 16) to base 12\nAnswer: -22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3902 = -11*h + 21629. What is the remainder when h is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 27*j - 11. Let a be (-2)\/(-22)*(-9 - -20)*-12. Calculate w(a).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 11:47 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/42)\/(4\/6). Let y = l - -151\/70. Which is the third smallest value? (a) 1\/10 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rerer. Give prob of picking 1 r and 2 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03908 - -2512.03908. Let x = c + -2554.64. Round x to zero decimal places.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 + 4*k**3 + 1 - 5*k**3 - 2*k**3 in the form i + o*k + t*k**2 + g*k**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 + 103 - -1) + -76?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*h + 21 + 39, -2*u + 40 = 5*h. What is the tens digit of (2*u)\/(2\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u. Let g(p) = 5*p - 1. Let l(a) = -g(a) + q(a). Let h be l(-2). Let t(d) = 22*d - h - 5 + 14. Let x(m) = -m**2. Calculate x(t(k)).\nAnswer: -484*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(114) + (sqrt(114) - -4*1*sqrt(114)))\/((-1*sqrt(18)*-1)\/sqrt(3)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -611*t + 1655*t - 648*t.\nAnswer: 396*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44\/110 + (-666)\/(-10). Let a = g - 65. Is 13 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6767 + -366262356.\nAnswer: -366269123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29746 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 858*g - 13. Let o(f) = 7*f. What is o(r(k))?\nAnswer: 6006*k - 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/7*n**2 + 6\/7*n**3 - 2\/7*n + 4\/7 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*3\/(-6) + -5. Let g = k - -52. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30321 - 20526?\nAnswer: -51047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0*u - 1\/24*u**4 - 4*u**2 + 1\/60*u**5 - 1\/12*u**6 + 1\/6*u**3 + 0. Determine n(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.75 + -0.75. What is the third biggest value in 0.1, v, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5c + 2f49ba?\nAnswer: 2f4a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1134 divided by -6.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -9 (b) -3 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -23032 (base 4) to base 2\nAnswer: -1011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11761044 and 321340.\nAnswer: 58805220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150*n**3*u - 22*n**2*u - 65*n*u + 137*n + 27*u - 2 wrt n?\nAnswer: 900*n*u - 44*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 20 = 4*a, -2*a - 3*a + 4*l = -25. Solve 4*h - 2*w = -3*w + 3, a*h - w = 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 >= 448\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1458 = 29*h + 15*h + 263 - 401 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.1 (b) 3\/5 (c) -32 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34889410?\nAnswer: 2, 5, 389, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l + 39023 = -108614. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11222 is divided by 5584.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18211668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (1 + 1 + -6)\/(12\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2 (c) -4616\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/576*639*32\/16?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11713*c - 11713*c - 185*c**2)*(2*c + c + 0*c).\nAnswer: -555*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9830.\nAnswer: 2, 5, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 2076?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 10. Suppose y*c - n - 2 - 3 = 0, c + 4*n - 6 = 0. What is the second derivative of -15*d**2 + 0*d + 10*d**c - 5*d wrt d?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 179284840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68.969 - -69. Let f = p - 0.03099926. What is f rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 45998?\nAnswer: -1\/22999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -102324?\nAnswer: 102322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1. Let h be -2*((-10)\/(-4))\/m. Let n be (-3)\/h + 0\/(-1). Is n > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1648\/(-280) - -5) + (-9)\/(-15). Let h = -14\/3 - -89\/21. Which is the second smallest value? (a) u (b) h (c) 0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + x**2 - x - 3. Let y be t(0). What is the smallest common multiple of 12 and 4*y\/(6\/(-1))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 8*c - 1. Let d be r(7). Suppose 14 = 5*l - d. Solve -l = -4*q + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 12. What is the closest to 0.1 in 5, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12 = -42. Calculate the remainder when r is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -876411 by 6.\nAnswer: -292137\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + 0.2. Let m = 0.5 - h. Let z = 89 + -87. Which is the closest to m? (a) 1\/2 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7196094 divided by -3.\nAnswer: 2398698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5 + 131*s**4 - 387*s**3 + 385*s**2 - 128*s = 0 for s.\nAnswer: 0, 1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 - 15*h**2 - 383*h + 3003. Let u be w(8). Let v = -2.9 - -3. Which is the nearest to v? (a) -1\/8 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(22\/11)\/((-20)\/45 + 2\/(-9))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**3\/3 - 76*i**2\/9 + 10*i\/3 + 52\/9 = 0.\nAnswer: -13, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 4:54 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + 1103201?\nAnswer: 1103101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u**2 - 7*u + 6. Let f(i) = 19*i**2 - 15*i + 13. Let t(q) = q - 9. Let a be t(11). Let p be 5\/10 + 11\/a. Give p*f(n) - 13*o(n).\nAnswer: -3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/16*(-832)\/676.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p + 31 = -13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 89 - -2eefb?\nAnswer: 2ef84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*b + b - b + 0*b - 5*b**2 - 25*b in the form p*b + t + y*b**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 436656 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - s**2 + 5*s - 3. Let f be j(-3). Suppose -20*p - 12 + 112 = f. Suppose p*z - 4 = 3*z. Solve 3*x - 2*l = -13, -4*x - z*l - 6 - 16 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {f: 2, k: 1, d: 2, w: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81216 is divided by 20186?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -20. Suppose y*u = 6*u + 11. Let c(b) = -3 + 3 - 7*b**3 + b**2. What is c(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**2 - 225*k - 1210. Let i(m) be the third derivative of m**5\/20 + 14*m**4\/3 + 605*m**3\/6 - 30*m**2. Let b(y) = 2*c(y) + 5*i(y). Factor b(q).\nAnswer: 5*(q + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3 = 5*b - 49, 7*j = 3*b - 44 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y - 3. Let z(q) = -13*q - 2*q + q - 16 - 8*q. Let i(x) = -16*f(x) + 3*z(x). Let g(b) = -10*b**2 - 6. Calculate i(g(n)).\nAnswer: 20*n**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 - (-27)\/30. Let o = 11 + -10. Which is the closest to h? (a) 0.08 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p - 5 = 0. Let i = 5 - p. Suppose -5*d + 31 = j, i = j + 2*d - 0*d - 19. Solve 3*k = -2 + j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, u: 1, m: 1, g: 2, b: 2, e: 4}. Give prob of sequence geg.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15021 and 140196.\nAnswer: 420588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2652, 2837, 3358, 4383, 6080, 8617, 12162?\n\"Answer: 28*q**3 - 11*q + 2635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 9*t**4\/4 + t + 35025. Let g(m) = 0*m + 2*m - m + 4. Let n be g(-5). Give k(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6)\/(-4)*2380\/15 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - ((-4)\/6)\/1. Let d be (24\/(-54) - 2\/(-18))\/(42\/(-18)). What is the closest to x in d, -1, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4182.458us?\nAnswer: 4.182458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1382*h**3 + 695*h**3 + 692*h**3 + 8*h wrt h?\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*147\/60 - ((-14)\/112)\/(5\/(-200)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**8\/112 + 5*u**5\/2 - 7*u**4\/6 + 5*u**3\/2 + 7*u**2 + 3*u. What is the second derivative of i(n) wrt n?\nAnswer: -60*n**3 + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116217131?\nAnswer: 71, 353, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(-3) + 553\/(-237).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 <= -619\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/1 - (0 - 0). Let k = 41 + v. Let i be (1 + -2)\/(3\/(-78)). Calculate the highest common factor of i and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1\/2 (c) -3 (d) 67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f**3 + 2*f**2 + 2*f**3 + 9*f - f**3 + 6*f**2 - 8. Let d(r) = 6*r**3 - 9*r**2 - 10*r + 9. Let y(t) = 4*d(t) + 5*m(t). Calculate y(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39328 by 8.\nAnswer: 4916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -377*s - 253. Let m(t) = 4140*t + 2783. Let p(b) = -23*d(b) - 2*m(b). Find the first derivative of p(q) wrt q.\nAnswer: 391","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 33*x - 107. Calculate a(29).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 9*d**2 + 1642*d - 8119. What is b(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60.6 - 0.6. Let z = 59.99999756 - c. What is z rounded to 7 decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 715480, 715467, 715432, 715363, 715248?\n\"Answer: -2*h**3 + h**2 - 2*h + 715483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((138\/(-30) - 0) + -5)\/(-6 - (-224)\/40). Let b(w) = -192*w + 1. Let f be b(2). Let g = f + 647. Calculate the highest common factor of z and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -11 (b) 21\/4 (c) -2\/11 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 974545.\nAnswer: 5, 11, 13, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3692.291 centuries in decades?\nAnswer: 36922.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 3*z**2 - z - 1. Suppose 0 = 4*j + 1 + 7. Let i be (-1 + -4 - j) + 0. Give l(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/5214928 and -71\/160?\nAnswer: 52149280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2838 - 206133?\nAnswer: -210072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15127413 divided by -7.\nAnswer: -2161059","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**4\/12 - q**3\/3 + q**2. Let c be -33 + 3*(-1056)\/(-99). Calculate f(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 12*y + y**2 - 4*y**2 - 19*y - 10 + y**3. Let w be u(8). Suppose 2*g - w = -0*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -10. Suppose -2*f + 4*u = -16, -5*f - z = -u - 14. Solve l = f*w - 7, -4*w - 2*l - 6 + 0 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -13*b + 280. Let d be (b\/21)\/((-3)\/9). What is the tens digit of 92\/6*(-4 + (-68)\/d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 2:25 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 562474595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3 = 7. Let x = 1 + h. Suppose -5*o - 878 = -883. Which is bigger: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 2802303686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -82*t**2 - 1987*t + 1538. Determine f(-25).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 n when four letters picked without replacement from wbbncnnbtbbdtwb.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(12*n + 151*n + 74*n) - 3 + 126*n + 3 + 0 - 163*n.\nAnswer: 437*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -29*k**2 - 4*k - 13. Let i(p) = -2*p**2 + p. Let g(j) = -4*i(j) - s(j). Let m(v) = 9*v**2 + 3. Determine 2*g(r) - 9*m(r).\nAnswer: -7*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(121)*-1 + sqrt(121)) + sqrt(121) - sqrt(121)) + sqrt(121))\/((sqrt(110)*1)\/sqrt(10)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20850 by -3475.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -309 - -349.2. Let q = 39.7 - m. What is the closest to 2\/7 in 0.5, 0, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = u - 11, 0 = -3*d - 2*u + 3 + 26 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-2))\/(2 + (-4 - -4)). Let x be (36\/(-45))\/(4\/(-10)). Solve -12 = -h*w - x*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87282468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.03 + -0.27. Let u = 1.1 + v. What is the biggest value in 1\/9, 0, u?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y. Let w(n) be the second derivative of n**3\/6 + 49*n**2\/2 + 2*n. Is w(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 7*p + 4. Let k be (2*1)\/(10\/(-25)). Let y be r(k). List the prime factors of -1 - 21\/y*2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n**2 + 43 + 0*n + 0*n - 115 + 24 + 17.\nAnswer: -24*n**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - r**2 - 4237*r + 4237*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 43.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 15 = 4*c, -2*c + g - 2*g = 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1573 and (1118\/(-104) + 1)\/((-2)\/176)?\nAnswer: 9438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0648684 to 4 decimal places.\nAnswer: 0.0649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**2 + 3*s**2 - 4*s**2)*(-117*s**2 - 487*s**2 - 988*s**2 + 176*s**2 + 55*s**2) in the form f*s**2 + c + x*s + k*s**3 + g*s**4 and give g.\nAnswer: 1361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3670 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -0*k + 46*k - 22*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1082 + -692. Does 26 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1427658147.\nAnswer: 3, 17, 9331099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(t\/(t**(-2\/7)\/t))\/t)\/((t*t**(3\/2))\/t) assuming t is positive.\nAnswer: t**(25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 45*d + 232. Let f be v(-6). Solve -10*j + 16 = -f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 469 + -203. What are the prime factors of l?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 396 by 198.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 w, and 1 u when three letters picked without replacement from zuzczfwz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3\/8 (c) -1818178\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63688, -63690, -63692, -63694, -63696?\nAnswer: -63698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 589, 505, 421, 337?\n\"Answer: -84*q + 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 6*a**2 - 44*a + 177. Let m be h(4). Solve m*x = 96*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5264 - -5271. Which is bigger: g or -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*10\/360*(-6)\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12552501 * -5.\nAnswer: -0.62762505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 18*m + 61. Let p be c(16). Is (-1556)\/3*p\/(-62) a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -1395*y - 8331. Calculate the least common multiple of 6 and r(-6).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7821840 and 977730.\nAnswer: 7821840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103066 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express f**4 + 232*f**2 + 16335 - f + 16326 - 32665 as h*f**2 + v*f + n + x*f**3 + y*f**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -5*p - 4, 108*p - 112*p + 5*t + 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 9*s + 23. Let f be b(4). Let i be -2*(-5 + f)\/4. Which is bigger: 10\/63 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 43. Find the first derivative of 25 + g*t**4 - 31*t**4 - 7*t**4 - 5*t**4 wrt t.\nAnswer: -136*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/((35\/(-14))\/(10\/(-14))). Let j(a) be the first derivative of -23\/5*a**5 + 8*a + 0*a**4 + 0*a**3 + 8 + 0*a**s. Differentiate j(y) with respect to y.\nAnswer: -92*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgegeeeassseott. Give prob of picking 1 a, 1 t, and 2 g.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -12. Is r greater than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364730 is divided by 2447.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(90)*1) + -5*sqrt(112) + sqrt(7) + (2*sqrt(84))\/sqrt(12))**2.\nAnswer: 17500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(54)\/sqrt(3)))\/(1*sqrt(768)*-4 - sqrt(768)).\nAnswer: -sqrt(3)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - -8.15. Let x = s + -9. Let u = x - -0.7964. Round u to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**3 + 2*c**2 - 2*c + 2. Let d(h) be the first derivative of 9*h**4\/4 + 5*h**3\/3 - 5*h**2\/2 + 5*h - 90. Determine 2*d(f) - 5*i(f).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, c: 1, m: 2, j: 1, q: 1}. What is prob of picking 1 j and 1 g?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**3 + 52*y**2 - 56*y = 0.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27833 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1155)\/462*56\/10\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*x**2*z**2 + 9113*x**2 + 282*x*z**5 - 2*x*z wrt z.\nAnswer: -56*x**2 + 5640*x*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*b + 2*b. Let l be 4 - (3 - 2\/b). What is the third derivative of 3*h**2 - 2*h**2 + 2*h**2 + 4*h**l wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 = -6. Suppose 0 = u*o + 102 - 418. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/3)*x)**(28\/5)\/((((x*x**(-8))\/x)\/x*x)\/(x**8\/x)))\/((x**1)**(-4\/35)\/(x**(5\/4)*x*x*x*x\/(x*x**3))) assuming x is positive.\nAnswer: x**(2629\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*k + 32 = 97*k. Calculate the lowest common multiple of k and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -4. Let r = -6.76 - -7. Let n = r + -2.24. Sort n, 3, h in descending order.\nAnswer: 3, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 1 = 34. Factor 2*s**3 + 3*s**4 + 6*s**3 + 6*s**2 - j*s**4 + 6*s**4.\nAnswer: 2*s**2*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3918458, 7836927, 11755396, 15673865?\nAnswer: 19592334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3547099 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-147)\/(-70))\/7)\/((-12)\/(-10))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2019 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 143, 274, 391, 488, 559, 598, 599, 556?\n\"Answer: -d**3 - d**2 + 141*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135456 and 1887.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 13*x**2\/2 + 367. Let t(h) be the first derivative of -h**3\/3 - 1. Determine q(t(a)).\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5493, -10994, -16525, -22086, -27677, -33298, -38949?\nAnswer: -44630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l - 46. Let d be i(-24). Let m be d\/(-15)*9\/12*-1. Let f(s) = -s**2. Let z be f(1). Put -0.5, m, z in descending order.\nAnswer: m, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -6, 2, 323, 0 in descending order.\nAnswer: 323, 40, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 14256499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/4)\/(3*(-7)\/126). Suppose u = -0*f - 3*f. Calculate the remainder when 21 is divided by 15\/4*1\/f*-20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*v + 84 = -77*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(19) + 1 - sqrt(19))*-1 + (4*(sqrt(1900) + 1))**2.\nAnswer: 320*sqrt(19) + 30412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 + 40*s**2 + 41*s + 72. Let u be l(21). Suppose 223 = 3*k - 2*w, -162 = -2*k + 2*w + 2*w. Let g = k - u. Solve -n = 3*n - g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/11 - 30172*q**3\/11 - 13775760*q**2 - 252396796100*q\/11 + 4850449879250\/11.\nAnswer: -2*(q - 19)*(q + 5035)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. Suppose -t + 6 = k. Let d be ((-6)\/(-12))\/((-3)\/(-18)). Solve -w - t*w - d = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzz when three letters picked without replacement from kqqkkqzqkqqkkkqzkq?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-90)*(-9)\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ege when three letters picked without replacement from {c: 2, e: 2, a: 1, n: 1, g: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, f: 4, s: 4, b: 2, v: 1, q: 1}. What is prob of picking 1 v and 1 q?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -v - h, 3*v + 0*v - 5*h - 27 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 3*d + 9. Let x(r) = -8*r**2 - 2*r + 1. Let t be x(1). Let v be s(t). Let q be (2\/(-3))\/(6\/v). Is -8 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - u - 3*u**2 + (7*u + 5*u - 4*u)*(-u - 1 + 1) + 2*u**2 + 0 + 0 + 4*u**2 + 0*u**2 - 5*u**2.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**6\/12 + 2*y**3\/3 - 7*y**2. Differentiate q(k) with respect to k.\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3035*-1275\nAnswer: -3869625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + -4.8. Let v be (-12)\/54 - 40\/(-504). Let q = -0.07 - 0.33. What is the nearest to n in v, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4589?\nAnswer: 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 10*v**2 + v. Let f(l) = 2*l**2 - 36*l + 60. Let s be f(18). Calculate the remainder when j(-3) is divided by 2635\/s - (-2)\/24.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**6\/120 - y**5\/40 + y**4\/48 - y. Factor x(h).\nAnswer: h**2*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u = -8*u. Suppose -4*o = -u*o + 4*n - 124, 0 = 3*o - 4*n - 86. Do o and 31 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 34 (b) 5 (c) 2 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -65, -93, -121, -149, -177?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**(1\/6)*r)\/r)\/r)\/r)\/(r\/r**(3\/11)) assuming r is positive.\nAnswer: r**(-125\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 496782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - ((-9461 - 0) + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4)*(-1 - (-1 + -3)). Sort -3, g, 0.2, 1.\nAnswer: -3, g, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*h + h + 4*h)*(-h + 2*h - 3*h) + (2*h - 2*h + 2*h)*(-h - 11 + 11) - 4*h**2 + 2*h**2 + 0*h**2)*(-277 - 67 - 55).\nAnswer: 3192*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 41 = r, 15*a - 58 - 53 = -r. Let f = 9 - 3. Sort f, r, 0, 2 in decreasing order.\nAnswer: f, 2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5 - 43. Let u = j + -70\/3. Factor 0 + t**3 - u*t**2 - 1\/3*t**4 + 0*t.\nAnswer: -t**2*(t - 2)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((7 - 4 - -5) + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 5 - 7. Let v = 6 + z. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -335.409 - 0.591. Let u = g - -165. Let x = u - -170.99999889. Round x to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/23)*(l\/l**(-12))\/l*l)**(37\/3)\/((l**3*l)**(-9))**21 assuming l is positive.\nAnswer: l**(64004\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.3, -642, -4\/5, -4?\nAnswer: -642","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 264*d. Let v(b) = 5*b**2 - 1. Determine r(v(l)).\nAnswer: 25*l**4 + 1310*l**2 - 263","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/536 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -1\/60*h**6 + 5*h**2 + 0*h**3 + 0*h**4 - 1\/30*h**5 + 0*h + 0. Find the third derivative of f(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292268*b**2 - 58476*b + 58476*b.\nAnswer: -292268*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9229162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h + 2*h + 4 + 5*h**3 - 6*h**3 + 4*h**2 + 3*h - 2*h. Let v = 5 - 9. Let n = v - -7. Determine d(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/7 + (-6)\/(-21). Suppose 0*r - 3*r + 11 = -4*w, -2*r + 5*w + 5 = n. Suppose 4*a = -r*z + 203, -2*a - z = a - 144. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307, -510, -665, -772, -831, -842, -805?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 5*g + 4. Let q be c(-5). Suppose 0 = -0*b - q*b - 16. Are b and -8\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 31480492.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1452, 2892, 4346, 5820, 7320, 8852, 10422, 12036?\n\"Answer: q**3 + q**2 + 1430*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*y**6 + 19627356*y**3 - y**2 + 251570137*y.\nAnswer: 1080*y**3 + 117764136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(12\/(-2727))*(-3 + 7). Is 24 a factor of 4\/6*z\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erermrmkemr. What is prob of sequence re?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 7:59 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/18*9\/(-27)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 19*h + 52 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -737.6 + 738. Put -17, 5, l in increasing order.\nAnswer: -17, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**5\/3 - 8234*c**4\/3 - 2850142*c**3\/3 - 228657464*c**2\/3 - 490465063*c\/3 - 88969502\/3 = 0. Calculate c.\nAnswer: -151, -2, -1\/5, 1951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101 (base 2) in base 10?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.042 or -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvuv when four letters picked without replacement from uyyvyeuyuyuuyyuyvy?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/36)\/((-5)\/(-3) - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c - 6. Let h be g(-4). Suppose 0*p + h = p. Let s(a) = 5*a**2 - p*a**2 - a**2. Let x(m) = m**2. What is s(x(u))?\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 + 115 - 321 + 103 - 1368*d.\nAnswer: -1368*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1125*m + 9. Let o(a) = 1. What is 9*o(n) - y(n)?\nAnswer: -1125*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*5\/60)\/(((-3)\/(-90))\/((-6)\/(-15))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + 4*1339\/(-208)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 3, f: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.126 - 6.174. Let l = p - -1.3. Let x = -1.2 + 0.2. Sort 0.5, l, x in ascending order.\nAnswer: l, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10726 - 2*q - 10724 + 47*q - q.\nAnswer: 44*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -24\/335, 3?\nAnswer: -24\/335","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnffpffflflfpfffnln. What is prob of sequence lf?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1741 (base 8) to base 2.\nAnswer: -1111100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34516366 is divided by 4780?\nAnswer: 4766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1330317 divided by -261.\nAnswer: 5097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 85*h**4\/4 + 19*h**2 - 740*h - 5805. What is the first derivative of v(w) wrt w?\nAnswer: 255*w**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*h**4 - 3*h**3 - 482 wrt h?\nAnswer: 12*h**3 - 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(52) + -3)*-2 + 5 + -5*2*(sqrt(13) - (sqrt(39)\/sqrt(3) + sqrt(13))))**2.\nAnswer: 144*sqrt(13) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18453 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 10 = 10*s. Solve -2*w - s*w = 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.02838385558 + 15.2?\nAnswer: 16.22838385558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (60\/(-450))\/((-13)\/(-3)). Suppose 0*h - 5*s = 2*h + 18, 0 = -h - 3*s - 11. Is h at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2659, -5322, -7987, -10654, -13323, -15994?\n\"Answer: -q**2 - 2660*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12978280.\nAnswer: 2, 5, 7, 46351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 14 = -2*b - b, -b = 2*i + 12 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - s - 2*s)*(7367 - 2976*s - 7367 - 5067*s) + (3 - 4 + 0)*(s**2 + 0*s**2 - 3*s**2) to the form h*s + l*s**2 + d and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315 = -10*g + 365 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 - 4*u - 4. Let o(n) = -n**2 + n + 1. Let b(q) = c(q) + 4*o(q). Let m(i) be the third derivative of -i**4\/6 + i**2. Give b(m(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.2 minus -25.8?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41 - 1300?\nAnswer: -1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a929a7 (base 11) in base 5?\nAnswer: 2323224034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/21 and 29\/645.\nAnswer: 4515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 7*i - 3*i. Let w = -11 + 7. Is w at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7169, 12456, 21267, 33602, 49461?\nAnswer: 68844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -335622 (base 14) to base 4.\nAnswer: -12221230132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122129 is divided by 689?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 1773, 44, 1\/4?\nAnswer: 1773","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 q when three letters picked without replacement from {b: 3, q: 5, c: 3, i: 3, g: 2}.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -80*o + 1 + 41*o + 40*o - o**2. What is w(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-27327\nAnswer: -81981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -0.3 (c) -0.08 (d) -43 (e) -46 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 16620*w - 14946768.\nAnswer: -2*(w + 1026)*(w + 7284)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = 5*v - 17. Let s be 0\/((-4)\/(-2)*1). Does 17 divide (s + -1)\/(2\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 20 = -6*s. Let v(a) = -s - 15 + 14 - 9*a. Let x(j) = -3*j - 4. Let b(u) = 3*v(u) - 8*x(u). Determine b(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -9*b**2 + 8*b + 17. Let j(a) = 5*a**2 - 4*a - 9. Let v(z) = 4*g(z) + 7*j(z). Solve v(w) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, g: 3, b: 1, u: 3, f: 4, m: 1}. What is prob of picking 2 g?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, -5, 0.3, -1.4, -0.6, 14?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/14 and -109\/192.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5\/2 + 3*c**4\/2 - 3*c**3\/2 + c**2\/2 = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -101.95108 (b) 4\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**2\/2 - u + 1. Let j be i(-3). What is the greatest common divisor of j and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6887 and 194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-31)\/((-868)\/357) - 15. Let t = 2 + -1.9. Which is bigger: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 0.1, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/(-32))\/((-33)\/(-8)). Which is the third biggest value? (a) 1\/2 (b) -5 (c) y (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1030405 is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8084*z - 47170 + 358772 = -221942 for z.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -30, -107, -234, -423, -686, -1035?\nAnswer: -1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/12 + 6\/(-36). Suppose -4*q - 2 = -4*n - 22, w = -4*q - n + 10. Solve 1 = -q*b - 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1900271 times 4.18\nAnswer: -0.794313278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*f + 3*v + 15, 5*v = -3*f - 18 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 + -1 - (-822 + 931)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 163*x. Let b(j) = 3*j**2 - 15*j. Determine i(b(h)).\nAnswer: 489*h**2 - 2445*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/((-2992)\/(-132)))\/((-1)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -37642.\nAnswer: -2\/18821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 19.4 (b) 4 (c) 1\/40 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1141 divided by 163.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(((d\/((d\/((d**2*d)\/d))\/d))\/d)\/d)*d)\/(d**(1\/3)*d))\/(d*d\/(d\/(d**2\/d*d))*d)**(-41) assuming d is positive.\nAnswer: d**(491\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -977, -972, -967, -962?\n\"Answer: 5*s - 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 23*x**3 + 2*x**2 - 2*x + 1. Let y = -26 - -31. Suppose -46 = -y*t - 3*i + 31, -5*t = -5*i - 45. Calculate the remainder when o(1) is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 32. Suppose 5*w = -n + 30, 5*n = -9*w + 4*w + 130. Are s and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h - 13340. Let l(a) = 2*a + 4441. Give -8*l(w) - 3*y(w).\nAnswer: -w + 4492","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2767 - 2543. What is the remainder when m is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1112 + 1123. Solve 5*z - v*o - 4 = -8*o, 2*z + 2*o = 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161607200 rounded to the nearest one million?\nAnswer: 162000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 - (9 - 6 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/98 - 138\/(-189). Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15494 - 6127. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/14 - (-572)\/(-2002)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19975140 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 55 + 1276*y - 7 - 20 - 30 in the form t + d*y and give d.\nAnswer: 1276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 4:30 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r**4\/5 + 15*r**3 - 504*r**2\/5 + 108*r\/5 = 0 for r.\nAnswer: -6, 0, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007339845 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**5\/20 - 7*v**4\/12 + 5*v**3\/6 + 4*v**2 - 3*v. Let q be r(6). Suppose 0 = q*l - 65 - 29. List the prime factors of l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/4 - 92247*q**2\/2 - 43922703*q\/4.\nAnswer: -3*q*(q + 239)*(q + 61259)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 + (8 - 11) + -4. Suppose 7*q - 47 = -3*f + 6*q, -j*q - 22 = -2*f. Calculate the greatest common factor of f and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 11:26 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -32*d + 16. Let l be q(4). Let f = -1233\/11 - l. What is the closest to -1 in 0, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 225\/(-405)*(-42)\/(-175).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 8:15 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 696?\nAnswer: 5568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/180*-42*(-24)\/28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -41*s**6\/120 + s**3\/2 + 11*s**2. What is the first derivative of c(i) wrt i?\nAnswer: -123*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 9) to base 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 4145, -2, 0, 2, -4, 1 in ascending order.\nAnswer: -4, -2, 0, 0.1, 1, 2, 4145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 123358503 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 5*t + 5. Let h = 12 + -11. Let l = h - -5. Determine b(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + z**2 + 0*z**2)*(2 - 2 + z) + 3*z**2 + 2*z**3 - 3*z**2 + 2*z**3 - 4*z**3 + 3*z**3 - z**3 + 4*z**3 - 2*z**3 + z + 14*z**3 - 23*z**2 + 23*z**2.\nAnswer: 17*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 402552 (base 8) in base 3?\nAnswer: 20201200212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 61, 67, 87, 127, 193, 291, 427?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0.1, 0 in decreasing order.\nAnswer: 0.1, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, c: 1, n: 2, o: 2, z: 6, i: 1}. Give prob of picking 2 z.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g. Let u be q(-1). Let c = 122\/55 - 20\/11. Sort c, u, 5 in descending order.\nAnswer: 5, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 4*a + 3*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 0) + (-25 - -41). Suppose -2*m = -4*z - d + 30, 0 = 4*m - 3*z - 5. Solve m*t - 1 = -11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2628, 2328, 1886, 1302?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, z: 4, l: 5, m: 1, c: 2}. Give prob of picking 2 z and 1 m.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -42*r - 518. What is x(-11)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/8, 0.4, -7, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4221 (base 9) to base 15\nAnswer: -db7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 3\/35, -1, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 750?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 20 - 16 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5702324167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4188374544+-226\nAnswer: -4188374770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5*m + 30 = -0*x, -4*x + 2*m + 30 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + 3\/((-6)\/(-2)). Let h(z) = 2*z**2 + n + 3*z**2 - 2 - 7*z - 4*z**2. Let s be h(6). Let v(t) = -t**2 - t + 2. Calculate v(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 10, w: 1, q: 9}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p**2 + p**2 + 3*p**2)*(3 - 778*p**2 - 4 + 377*p**2) to v + k*p + u*p**2 + b*p**4 + o*p**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1160803230, -1160803231, -1160803232, -1160803233?\nAnswer: -1160803234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 877796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 473*c**2 + 5*c. Let g(t) = 8*t**2 + t. Give 15*g(k) - 3*j(k).\nAnswer: -1299*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.0174 at least as big as 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1524 + 1524.5. What is the closest to -2\/3 in a, -3, 8\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*m + 1181 = 7704, -m = u - 3274. Suppose 3*q - l - u = 3*l, 0 = -2*q + 3*l + 2179. Is q a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1605414 + -1605283.0046. Let m = 8786 + -8655. Let v = s - m. What is v rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35700 divided by -5100.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 n, and 1 t when three letters picked without replacement from ntsntcsttcttsstt?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 46428*r + 278424.\nAnswer: 4*(r - 11601)*(r - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 - 0.1077?\nAnswer: -0.1477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4 - 132*h - 125*h + 252*h - 3. Suppose -5*w + 3*p = -2*p + 50, -w + 3*p = 16. Let v(u) = -2*u - 3. Calculate w*v(o) + 3*x(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 1331?\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -l + 3*n, -2*l - 6 + 9 = n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20033 + -11?\nAnswer: 20022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Solve h + 8 = k, o*h + 3*k = 4*k - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*b + 42 = 57*b - 86*b + 5*a, 45 = 5*a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 447050663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 3:33 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6132908*n**2 - 527*n - 286 wrt n?\nAnswer: -12265816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -88\/5, -2\/15, -3\/4, 1.1, -5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 131143 (base 5) to base 16\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 66*x - 71*x + 17 = 0, 2*s - 4 = 4*x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -19.74+-239.25\nAnswer: -258.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*12\/(-42))\/(9\/(-7)). What is the second biggest value in -1\/2, 2\/11, n, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.75, -1\/2, -29, 90?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 3:06 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -625720 divided by -125144\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -70372 (base 9) in base 16?\nAnswer: -b49b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Round 12230000 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -1.16, -6\/13, 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220603415 divided by -4.\nAnswer: -220603415\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.085487?\nAnswer: -0.0170974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 11:22 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9455 - 6359. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/5 + v**2\/5 - v\/5 - 1\/5 = 0 for v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*(2 + (-5)\/3). Let n(y) = d*y**2 + 0*y + 0*y. Let h(b) = 4*b - 3. Let v(z) = 15*z - 11. Let p(m) = -22*h(m) + 6*v(m). Give n(p(w)).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 617*h**2 - 81*h - 6. Let d(q) = -2*q**2. Give k(d(l)).\nAnswer: 2468*l**4 + 162*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22149 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 46 + 23 + 7999*x - 9866*x + (-3 + 6 - 2)*(-1 - 2*x + 1) to j*x + h and give j.\nAnswer: -1869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3988129*r - 2*r**2 - 24 - 3988129*r.\nAnswer: -2*r**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -6*a - 87, -4*a = -4*u - 117718 + 117790 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 1:54 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2559691nm in micrometers?\nAnswer: 0.0002559691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -12.5 (c) -7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00071927 rounded to five dps?\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -30*a + 456. Calculate the remainder when 77 is divided by y(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 112, 131, 124, 85?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 4*l - l + 9, 2*a + 5*l = -18. Let v(x) = 10*x**3 + x - 1. Determine v(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26ea - 1f?\nAnswer: 26cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5*x = -20, 3*y = -2*x + 7*x - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001355734 rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518 is divided by 76.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -14*2\/(-16)*(-26 + -2). Let m be (-308)\/p - (-1 + (-9)\/(-7)). Solve m = -4*t + t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - h + 0)*(4 - 4 - 3*h**2 + (-h - 2*h + 4*h)*(-114*h + 50*h + 42*h)) to o*h**2 + t*h + s + v*h**3 and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.454479784 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 429 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grrs. Give prob of sequence rsr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16047411331 - -16047404125.996809. Let i = -7205 - j. What is i rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -8*z**3 + 36*z**2 - 16 + 1\/2*z**4 + 0*z. Factor y(q).\nAnswer: 2*q*(q - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p**2 - 153 + 73 - 4*p + 78 - 2*p**3 as q*p**2 + j + a*p**3 + k*p and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**5 + 24*c**4 - 1564*c**3 + 5184*c**2 + 29952*c = 0.\nAnswer: -24, -3, 0, 8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1. Let y(o) = 2 + 7 - 36*o**2 + 4*o**2 - 5. Let v(q) = -3*f(q) - y(q). Does 31 divide v(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 2.9.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-18)*(0 - 3). Let n(b) = -2*b + 6. Let u be n(4). Let o = -2 - u. Sort o, 2, s in decreasing order.\nAnswer: 2, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94*m**2 + 89*m**2 + 2897*m + 1 + 7 - 2895*m to c*m**2 + x*m + f and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2808832 divided by -4\nAnswer: 702208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilometer in meters?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11583 and 1089?\nAnswer: 127413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (102\/42 + -2)*7 + 63190 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.24 - 12.3. Let i = -0.06 - w. Suppose g - 2*g = 1. Which is the nearest to 0.1? (a) g (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 a when four letters picked without replacement from {a: 4, r: 7, u: 5}?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*v + 3*j + 13, 0 = -v + j + 3. Let o(k) = -16*k + 2. What is the smallest common multiple of 20 and o(v)?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 646.9998587 + -647. What is l rounded to 6 decimal places?\nAnswer: -0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -626, -1253, -1880, -2507, -3134, -3761?\nAnswer: -4388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 106 + 102. Sort -15, 13, -2, s in descending order.\nAnswer: 13, s, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -99, -162, -259, -396, -579?\nAnswer: -814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1484736 and 1113552?\nAnswer: 4454208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 971156366 to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25 + 2 + -2 + -2. Calculate the greatest common divisor of p and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(1*sqrt(363) + sqrt(3)))\/(sqrt(12)\/(sqrt(3) + (sqrt(432) - (sqrt(432) + (sqrt(432) - (sqrt(432) + sqrt(432)*-2) - sqrt(432)) + sqrt(432))))).\nAnswer: -23*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w - 2*w + 3*w + 10*w.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78153553.995265 + 78154023. Let z = 469 - x. Round z to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 1 = 34 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + 0*k + 0*k)*(-k - 2 + 2) - 20*k**2 - 120*k**2 - 146*k**2 in the form s + j*k + l*k**2 and give l.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (33\/3)\/((5 - 2)\/6). Suppose 2*o - 3*y + 8 = -y, o + 5*y = -w. Let i(r) = -4*r + 1. Let h be i(o). What is the highest common divisor of 232 and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -189, -465, -861, -1383?\nAnswer: -2037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - x**2 + 1. Let o = 5 + -3. Let u(c) = -2*c**2 + 2*c**3 + 2*c**2 - c**2 - 3 + 4*c**2. Give o*u(a) + 6*b(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-10) - (7\/(-3) - 0).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8061, 16057, 24055, 32055, 40057, 48061?\nAnswer: 56067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1360*w - 57849 - 29191 for w.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r**3 - 7*r**2 - r + 9. Let s(y) = -7*y**3 + 6*y**2 - 8. Let f = -1135 + 1141. What is f*o(j) + 7*s(j)?\nAnswer: -j**3 - 6*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -14. Let b(c) = -1. Let m(v) = -v**2 + 4*v + 1. Let q be m(3). Let h(d) = 2*d**3 + d**2 + 5. Calculate f*h(n) + q*b(n).\nAnswer: 2*n**3 + n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(180) - sqrt(20))*1)\/sqrt(10))**2 + 4 + 5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -134, -1148, -3912, -9302, -18194, -31464, -49988, -74642?\n\"Answer: -146*q**3 + q**2 + 5*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -4 - (-4 + 3 + 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1148247?\nAnswer: 3, 127583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnkkkkkk. Give prob of sequence kn.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 413059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 13*d**2 - 15. Let t be c(10). Suppose 5*v = 790 - t. What is the remainder when v is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 + 0*b - b - b**2 - 4*b**3 to the form x*b**3 + k*b**2 + z*b + q and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31733 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**5\/20 - 5*r**4\/12 + r**3 + 8*r**2 + 19*r. Does 16 divide m(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 146*o + 22 = -144*o, -36 = 4*m - 4*o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 592 divided by 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49755 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2.1, -0.5, 1\/7?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 2, i: 4, j: 3}. Give prob of picking 1 i, 1 d, and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + -35 - (0 + 5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*a**2*k**2 + 5521*a**2*k + 4512624*a*k**2 + 9*a*k - 24*k wrt k.\nAnswer: -14*a**2 + 9025248*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**4 + 2*n**3 - n**2 - n + 1. Let p(w) = -3*w**4 + 625*w**3 + 224*w**2 + 2*w. Let z(h) = c(h) + p(h). What is the third derivative of z(j) wrt j?\nAnswer: -96*j + 3762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**6\/120 + m**5\/10 - m**4\/8 - 5*m**3\/6 - 209*m**2. Give q(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1309 - 23?\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1667053?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19 + 2\/2 + -2. Let y(t) = -t**3 - 5*t**2 + 3*t - 14. Let p be y(-6). Suppose -k = -p*l + 10. What is the greatest common divisor of l and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 - 7*g - 5. Let t(j) = -20*j - 65. Let i = -635 - -632. Let v be t(i). Determine x(v).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + 112012102?\nAnswer: 112012000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 5:43 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 3*y + 0*y)*(1 - 1 - 2*y) + (-4*y - 2 + 2)*(0 + 24 - 2)*(-3 + y + 3).\nAnswer: -82*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -338 - -1997. Let b be (-261)\/((-9)\/(468\/8)). Let g = t - b. Calculate the common denominator of 45\/16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147.9923 + -148. What is p rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 319347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4568*o - 1790654. Calculate u(-392).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w\/w**(1\/5))\/w*w*w**5*w**(-5)*(w\/w**0)\/w assuming w is positive.\nAnswer: w**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 12:42 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (43 - 72) + 47\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3503172 and 1612650?\nAnswer: 1138530900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 + 3*z**2 - 6*z + 0*z**2.\nAnswer: 10*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -482a (base 13) to base 2.\nAnswer: -10011111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -354 - -359. Solve -3*c + 19 = -4*k, -3*k - 20 = -m*c - 8*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 2\/41 (c) -580\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4246*s**3 - 346 + 1040 - 342 + 1385*s**3 - 352.\nAnswer: 5631*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 2. Let w = 5 + q. Let d = -1 + w. Which is the second smallest value? (a) -2 (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4732846 rounded to 4 decimal places?\nAnswer: -0.4733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -210 - 100. What is the common denominator of (q\/15)\/((-160)\/(-36)) and (-109)\/(-4)*(-3)\/(-21)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/243 (b) -0.2 (c) 7 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*j + 5*y - 4, -2*y - 11 = -3*j. Let s be -1 + j + (-3 - -2). Is s smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 372a - 3?\nAnswer: 3727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(5\/2)\/p*p)\/(p**(-21)*p))**32)**(-31) assuming p is positive.\nAnswer: p**(-22320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8*((-39)\/6 - 3). Let j = b + -70. Let v = j - -75. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:07 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*k - 193 = 3*h + 756, -35*k + 24 + 32 = -39*k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 271396 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: Calculate ((-2)\/(-3))\/(-2*(-3)\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/6123 and 21\/12630650?\nAnswer: 492595350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 472239 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*x + 3590 - 1198 = 0, -2*z + 2404 = -3*x. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/49)\/(6\/14). Let j = 0.05 + 0.01. Let o = -2.94 - j. Which is greater: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1430?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 24*k - 23. Determine s(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 373*q - 557*q + 7728 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26411 and 2541.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 1 - 64414*o**2 + 3.\nAnswer: -64414*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 23*l**5\/60 + l**4\/24 + 34*l**3\/3 + l**2 + 10*l. Differentiate u(d) with respect to d.\nAnswer: 46*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -0.089806?\nAnswer: -0.089806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*t + q = -34, -2*t + 2 = 63*q - 60*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 61? (a) 0 (b) 0.077 (c) -31.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*b + 10, w + 3*b + 4 = 10. Let x(g) be the third derivative of -g**6\/120 - g**5\/10 - 5*g**4\/24 - g**3\/6 + 4*g**2. Is 14 a factor of x(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5266 (base 7) to base 12\nAnswer: -10b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 47007.6us?\nAnswer: 47.0076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -104064.067 rounded to the nearest ten?\nAnswer: -104060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(1792).\nAnswer: sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 48*i - 4748. Determine b(49).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -191\/2? (a) -4 (b) 884 (c) 0 (d) -0.1 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146390 divided by -1?\nAnswer: -1146390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.762 - 0.962. Do -748 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 2*q**2 - 5*q - 4. Let w be r(-3). Let h(a) = w*a + 8*a - 4*a. Let x(c) be the third derivative of c**5\/60 - 6*c**2. What is h(x(s))?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14815 (base 10) to base 8\nAnswer: -34737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*l = -3*p, -5*p = 3*l + 2. Suppose -p*x - 410 + 4012 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 5:13 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 2*j - 4214, -2*q + 2*j - 3164 = q. Let m = 4185\/4 + q. Calculate the common denominator of m and (-142)\/(-10)*(-5)\/(-18).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 46 + 14 = 0. Suppose 4*v - 35 + c = 0. Factor -v*w**2 + 13*w**2 + 5*w + w**2 - 8*w**2 + 4.\nAnswer: (w + 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21511?\nAnswer: 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(2\/5)))**(-1\/43)*(q\/q**0)\/q*q**(-2\/5)*q)\/(((q*q**(-1\/3))\/q)**(-28)*q**(-1\/2)*q*q**(-1\/9)\/q) assuming q is positive.\nAnswer: q**(-31469\/3870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h. Let t(a) be the first derivative of 3\/2*a**2 + 48 + 0*a. What is v(t(u))?\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**4\/12 - 7*d**3\/6 - 120*d. Suppose -3*x = 3*t + 12, 3*x + 0*t + 20 = 5*t. Determine u(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 371 and 8480?\nAnswer: 59360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, -5, -3, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**2 - 8*f + 3. Let m be p(0). Which is the closest to -11? (a) 6 (b) 4 (c) 0 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1810, 1648, 1494, 1354, 1234, 1140, 1078?\nAnswer: 1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(192) - (sqrt(192) + -1*sqrt(192)))*4 - sqrt(192))\/sqrt(8))\/(-5*(sqrt(40)\/(1*sqrt(5)) + (sqrt(896) + sqrt(56))\/sqrt(7))).\nAnswer: 3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1516 divided by -160\nAnswer: 379\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -31, -155, -2\/19?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + i + 532 = 0, 2*n = -2*i + 280 - 72. What is the remainder when 6251 is divided by n?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 449746*q**3 + 899488*q**2 + 449738*q - 4.\nAnswer: 2*(q + 1)**2*(224873*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3782 and 3191698.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 259*a**3 + a**2 - 3*a + 1. Suppose 6 = -8*i + 14*i. Is 18 a factor of q(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 38161*z. Let y(q) = 18*q + 17. Give x(y(b)).\nAnswer: 686898*b + 648737","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 470, 1936, 4378, 7796, 12190, 17560, 23906?\nAnswer: 31228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29384?\nAnswer: 2, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 10.5 (c) 12 (d) 2 (e) -38.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3))**20 assuming i is positive.\nAnswer: i**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 36744195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 48468718 a multiple of 517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 - -2.01. Let j = n + -2. Let x = -1 + j. Is x at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226 by -226.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 1\/60*c**5 - 1\/6*c**4 + 2\/3*c**3 + 0 + 0*c - c**2. What is the units digit of j(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*d**4 + 860 - 30*d**4 - 154*d**4 - 812 wrt d.\nAnswer: -720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/402 and -131\/216?\nAnswer: 14472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -19*r**3 - 9*r**2 - 8*r + 9. Let w(f) = -f**3 - f**2 + 1. Let o(l) = 2*d(l) - 18*w(l). What is the second derivative of o(k) wrt k?\nAnswer: -120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60216 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*p + 12997 - 12360 = 0 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/2 - -3) + -5. Let m = 11 - 12. Let t = m - 3. Sort t, 0, y.\nAnswer: t, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1175, -1223, -1275, -1331, -1391?\nAnswer: -1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - z**2. Let b be x(2). Suppose -95*t + 83*t = -3192. Factor -i**4 + 0*i**b - 266*i**2 + t*i**2.\nAnswer: -i**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from {y: 5, j: 5, b: 1, f: 2, c: 3, t: 4}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 237332594.\nAnswer: -949330376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + 5. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2244.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 2\/5, -825, 0 in increasing order.\nAnswer: -825, 0, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 47 = -4*r, -5*r + 0*r + 42 = 4*f. Let w = 62514 - 62507. Solve -4*g + w = -f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1940*y - 7. What is the tens digit of f(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22579 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6322.\nAnswer: 2, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 178 and 17266?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17295544 to the power of 1\/2, to the nearest integer?\nAnswer: 4159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide -2*81*(-8)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, h: 1, x: 5, t: 2}. What is prob of sequence thxt?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/99)\/((-2)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 456.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - 18*o + 72 = -4*k, 4*k = 2*o - 66 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -0.1, 13, -2\/7, -16\/7?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 6*c = -4*d + 68, -24 = -2*d + c. Suppose 481 + 373 = d*l. Is l > 121\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.202 - -0.516.\nAnswer: 0.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 + 19*w + 7. Suppose 5*x = 5*h - 25, -x - 2*h + 0 = 8. Let g be m(x). Calculate the remainder when (-755)\/10*(-2 - -1 - g) is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-224)*7)\/(4\/4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2516675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229522?\nAnswer: 2, 114761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 384 and 11904.\nAnswer: 11904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1804 = 173*w - 2175 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 6. Suppose -5*x + 16 = m. Let l be (-6)\/x + 19 + 0. What is the highest common divisor of l and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18855460 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 + j**2 - j**3 - 6*j - 3*j + 5*j + 3*j**3 in the form f*j**3 + m + s*j**4 + y*j + n*j**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46130.94 decades in years?\nAnswer: 461309.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*m + 4544 = -35*m. What is the remainder when m is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.1906l?\nAnswer: 4190.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 629537458*n**3 - 1138126597*n**2?\nAnswer: 3777224748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513031359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1209*h - 43104 - 13719 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a**2 - 1357*a - 1156. What is i(-193)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*(sqrt(1620) + 0))**2 + 1.\nAnswer: -216*sqrt(5) + 6490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 62\/(-90) - (22 + 342\/(-15)). Which is greater: a or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-3264)*(-446)\/3 - (-2003)\/16024.\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**3\/4 - 125*t**2\/4 + 190*t - 340 = 0 for t.\nAnswer: 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 134*p**2. Let c(q) = -2*q. Calculate s(c(d)).\nAnswer: 536*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/14*(-63)\/27.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 - 3*u - 4*u**2 - 2 + 0*u. Let i = 89 - 91. Let l be z(i). Solve l*x = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 5*q - 7. Let t(f) = f**2 + 4*f - 6. Calculate -6*t(n) + 5*z(n).\nAnswer: 4*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7 + 4 - 2*p + 3. Let n(q) = -3*q. What is u(n(i))?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d - 1. Let p be f(-3). Suppose -p*h = -10*h. Suppose 0 = -h*x + 2*x - 2. Let t(y) = 2*y. What is t(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12915*v = 10638*v - 31878 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6009.374 milligrams to tonnes.\nAnswer: 0.000006009374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 513*f - 2 - 9 = 524*f. Is f less than 3\/2819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 1, 0 = -2*h - h - 2*t - 10. Let i be (-2 - 56\/(-12))*6\/h. Put 0, 1, i, 3 in decreasing order.\nAnswer: 3, 1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 11 = v, 2*x + 2*v - 53 = -15. What is the least common multiple of 74 and -4 + (-5)\/(x\/(-54))?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -431\/8 + 53. Suppose 0 = 4*h - 5*k - 4 - 7, h = 2*k + 5. Which is bigger: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2406*z + 52935. Let m be w(-22). Factor 32\/3*q + 4\/3*q**2 - 4\/9*q**m + 112\/9.\nAnswer: -4*(q - 7)*(q + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -33*n**2 - 8*n - 9. Determine m(-2).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*r + 64, 2*x - 43 = -4*r + 53. Calculate the remainder when 212 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 23*m + 351. Calculate y(-11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 1.4, -26.8, -5 in ascending order.\nAnswer: -65, -26.8, -5, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*o = -3*h - 2947, -2*h = -5*o + 1948. Let m = h + 1425. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 17 - 17 - v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2428*a**4 - 10909?\nAnswer: -9712*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/275*105\/(-14)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1413656 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476*r**2 + 502*r**2 + 0 + 0.\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 331310 + 32?\nAnswer: 332002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*c**4 - 144*c - 1 wrt c.\nAnswer: 204*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/25)\/((-407)\/7585). Is m bigger than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (-3)\/3*-8. What is the units digit of (-4)\/(-32)*m*68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**4\/4 + 44*g**3\/3 - g**2 + 80*g - 3349. What is m(44)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/2)\/(4\/8). Suppose 0*b - s*v - 36 = -3*b, 5*b + 2*v - 25 = 0. What is the remainder when 20 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*f - 9, -5*a + f = 5*f - 3. Let r be ((-12)\/3)\/(0 - 2). What is the second derivative of 27*u**r - 27*u**2 + 3*u + 3*u**a wrt u?\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 2144\/995?\nAnswer: 2144\/995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.61863 micrometers in millimeters?\nAnswer: 0.01961863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35437 - 9*x - 17715 - 17722.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*i - 44*i - 43*i - 32*i + 135*i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -109965400 rounded to the nearest one million?\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m. Let j(d) be the second derivative of d**4\/2 + 20*d. Give t(j(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 10:40 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 4*z - 20, 3*z - 759*k = -761*k + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 300 and 300 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -67622708.\nAnswer: 473358956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a centimeter in millimeters?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/69, -3, -4, 2\/13.\nAnswer: -4, -3, 2\/69, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**4\/24 + 2*w**3\/3 + 9*w**2. Let c be l(4). Let x be 6\/(-4)*(-8)\/(-78). What is the closest to c in x, -5\/3, -1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 0 - -2) + 190 + -182 + -26\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(700))*-4*4)**2.\nAnswer: 179200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*j - j - 42. Solve 4*n - j = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2597785 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 537414?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22369 - 11186 - 11183 + 4482*x**2)*(-x**2 + 4*x**2 - x**2)*(0 + 0 - 3).\nAnswer: -26892*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*z - 11044, -z + 5185 = 4*r - 349. Is z\/(-36)*-2*(-1 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 734 + -768. Put j, 3, 10 in increasing order.\nAnswer: j, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.357493ug to tonnes.\nAnswer: 0.000000000007357493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -40. Which is the second smallest value? (a) -22 (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g = 17*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-321)\/4)\/(4*27\/(-144)). Suppose 10*z - 53 = q. Which is bigger: 0.1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -569 (b) -56 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k - 9. Let l be d(5). Suppose l = -2*a + n, 4*a + 0 = -2*n + 2. Suppose a = -2*y + 7*y - 15. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 199?\nAnswer: 19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138.47 - 2.53. Let a = 140.9759 + s. What is a rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352.35 rounded to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-47)\/(-564))\/((-10)\/(-12)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4062*n**2*x**2 - 7814*x**2 wrt n.\nAnswer: -8124*n*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*i + 5*l, -7*l + 2*l = 5*i - 5. Factor 0*g**5 - 7*g**5 - 35*g**i - 87*g**4 - 75*g**3 + 2*g**5 + 100*g**2 + 122*g**4 - 20*g.\nAnswer: -5*g*(g - 4)*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -55, 0.3, -4\/5 in descending order.\nAnswer: 13, 0.3, -4\/5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 20*(-3)\/9*(-300)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.3 (b) 2 (c) 1\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*h - 1042 = 5*h + 592 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1472*c + 15. Let b(y) = 867008*y + 8832. Determine 5*b(h) - 2944*f(h).\nAnswer: 1472*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p**2 + 58*p + 1. Let t(f) = 6*f**2 - 48*f - 1. Give -5*h(v) - 6*t(v).\nAnswer: -v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1562*r**4 + r**3 + 17*r + 182131?\nAnswer: -6248*r**3 + 3*r**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*3*1\/6. Let q(v) = -16*v**2 + 5*v - 5. Let h(z) = -z**2 - 8 + z + 7 - 2*z**2. Determine o*q(x) - 11*h(x).\nAnswer: x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -8. Let d = 1.1 + x. Which is the closest to d? (a) 0.4 (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 9) in base 5?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/330 and 49\/3.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6 = 0, -447 = -i - 2*i - 3*v. What is the remainder when i is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 8, 11, 0, -4 in increasing order.\nAnswer: -4, 0, 8, 11, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/975?\nAnswer: -2\/975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3684 and 576652?\nAnswer: 531096492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10518 - 4771. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -298, -328, -360, -394, -430?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89944*s**3*v**2 + 6870*s**3 + 2*v**2 wrt v.\nAnswer: 179888*s**3*v + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -112410?\nAnswer: -112402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l. Let n be j(-2). Let i be 4\/14 + n\/(-21). Suppose i = -2*m - 0*m. Sort 1, m, -10 in decreasing order.\nAnswer: 1, m, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {x: 14, w: 2, a: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - 351?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 9:34 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**3 - 3*f - 5. Let d be l(-2). Solve -5*b = 2*u - d, b + 0 - 5 = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 - -94. Suppose -7*n + 34 = -36. What is the remainder when z is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -91*b**2 - 1\/105*b**7 + 0 + 1\/40*b**6 - 1\/6*b**4 + 0*b**5 - 1\/3*b**3 + 0*b. What is the second derivative of q(i) wrt i?\nAnswer: -24*i**2 + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 10. Calculate the highest common divisor of 36 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*c = -49, 7*z = 2*z + 3*c - 305. Let g be (3\/(-2))\/(4\/z*3). Calculate the highest common divisor of g and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 15*i**3 - 4*i**2 + i - 11. Let m(r) = 8*r**3 - 2*r**2 + r - 6. What is 5*m(g) - 3*o(g)?\nAnswer: -5*g**3 + 2*g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/12 - 2)*16 - -10. Let k = 11 + -5. Let y be (k\/(-8))\/(4\/(-96)). Solve 4*d + v = -y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13620*l**3 + l**2*y**2 - 3*l*y**2 + l + 2193 wrt l.\nAnswer: -81720*l + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8868 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216167?\nAnswer: 7, 30881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 7. Suppose 870 = -4*f + 2*m, -3*f + 6*f + m = -640. What is the units digit of b*2*f\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39c51a (base 16) in base 9?\nAnswer: -7110377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13490 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 - 1796*h**2 + 1720*h**2.\nAnswer: -76*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.86 + -0.64. Let n = 227 - 221.52. Let m = n + i. What is m rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + sqrt(3) + -2 + -4 + -1 + (3*sqrt(24)\/(-3*sqrt(8))*1)**2 + -1.\nAnswer: -5 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574 - 297 = 45*d - 893 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 351*s - 150*s - 124*s - 2 + 1 - 130*s. Let x = -1 - 0. Does 11 divide p(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/29 + (3\/(-18))\/((-20)\/210) + -2?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 47*c + 420.\nAnswer: (c - 35)*(c - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 5, 3, 53 in increasing order.\nAnswer: -16, 3, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2663857 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l**3 + 32*l**2 - 31. Let t(o) = 4*o**3 + 11*o**2 - 11. Give 11*t(y) - 4*w(y).\nAnswer: 16*y**3 - 7*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + f**2 - f**2)*(-123 - 382 + 220)*(2*f + 4*f - 4*f).\nAnswer: 1140*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 933856 or 933701?\nAnswer: 933701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 + 0.45. Let h = 56 + -154\/3. Let l = 4 - h. Which is the nearest to l? (a) 0 (b) -1\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2001163.\nAnswer: 2001163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 9*a = 4*r, -a = 4*r + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 4006669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o - 10*o + 19*o)*(5*o - o - 2*o - 3*o - o + 2*o + (-4*o + 5*o - 3*o)*(4 + 0 - 2)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 15455*o - 61808. Calculate x(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19b396 (base 14) in base 2?\nAnswer: 11011111010000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -156?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1295919*d - 2 - 1808970*d.\nAnswer: -3104889*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 112, 225, 326, 409, 468, 497?\n\"Answer: -m**3 + 120*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = n + n, -4 = 2*a + 2*n. Let w be a - 6*(-3 + 7). Round w to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 5*u = 2. Suppose i - 4*d = 23, i + 2*d + 15 = u*i. Suppose 10 - i = o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/14)\/((-30)\/8 - -4).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5695*y**3 + 25*y**2 + y - 68 wrt y.\nAnswer: -34170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 8*v**2 + 13*v**3 - v**2 - 10*v + 7*v**2 + 2*v**2.\nAnswer: 13*v**3 - v**2 - 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*x**3 + 22316405*x**2 + 51499050*x.\nAnswer: 5*x*(x + 343327)*(13*x + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 6:53 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 3. Let r be 30\/h*16\/12. Solve 3*n - r = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3283 is divided by 691.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -73, -95, -131, -181, -245, -323?\n\"Answer: -7*i**2 - i - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29831644 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + sqrt(832) + -3*2*sqrt(832))*2)**2 - (((-3*sqrt(832) - sqrt(832))**2*-6 - sqrt(832)) + 1).\nAnswer: 8*sqrt(13) + 133119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/40 and -87\/1744.\nAnswer: 8720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukukk. 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: Suppose 4*f**3 - 252*f**2 = 0. What is f?\nAnswer: 0, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/200 and 69\/1070.\nAnswer: 21400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 3\/5, 0.9?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -160.0808?\nAnswer: 159.6808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*(x\/(x\/(x**(-17)*x)))\/x)*x*x*x\/(x\/(x\/(x*x\/(x*x**(6\/7))))))\/(x\/(x\/((x**11\/x)\/x))*x**(-1\/17)))**28 assuming x is positive.\nAnswer: x**(5672\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 311.5 - 312. Let u(g) = g**3 - 6*g**2 - 5*g - 8. Let s be u(7). Suppose -s*n + 5*n - 4 = 0. Which is the nearest to 1\/3? (a) -0.3 (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 18*d**2 - 13*d - 4. Let y(r) = 27*r**2 - 20*r - 6. Calculate -8*p(o) + 5*y(o).\nAnswer: -9*o**2 + 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*(2*(-1 + sqrt(200) - sqrt(200)) + 3)*4)**2.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -165 + 105. Let m = 59.6 + p. What is the nearest to 1 in m, -4, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 28*p - 6*n = -n + 140, 0 = -5*n + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9746 + -538. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**2 - 86709*o - 346820 = 0.\nAnswer: -86705, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -195 - -360. Is 33 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45329970*w**3 - 169040879.\nAnswer: -135989910*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1862 divided by 5?\nAnswer: -1862\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2.6, -10\/183, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/7)*n\/(n*n**(-9))*(n\/(((n*n\/(n**(-31)\/n))\/n*n)\/n)*n)\/(n\/n**(-15)))**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k**3 + 3*k**2 - 3*k + 1. Let y be p(1). Let a(g) = -6*g**2 - 2*g**3 + 0*g**3 - 3 + g**3 - 2*g. Give a(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3))**(-14)*(b*b\/((b**13*b)\/b))\/(b\/b**(-1\/4)*b) assuming b is positive.\nAnswer: b**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35766257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 11:04 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8401.546 * -0.5.\nAnswer: 4200.773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(152) + sqrt(152)))\/((sqrt(288) - -2*sqrt(288)) + sqrt(288)).\nAnswer: sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1\/158933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**3 - 36*f**2 - 140*f - 1235. Calculate t(-11).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.7 (b) 1 (c) 0.4166 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42805*h**2*o**5 - 5*h**2*o + h**2 + 3271*h*o + 3*h + 14*o**5 - 2 wrt o?\nAnswer: 856100*h**2*o**3 + 280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**5 + 1484*x**4 - 53724*x**3 + 544916*x**2 - 1723880*x + 1231200 = 0 for x.\nAnswer: -405, 1, 4, 10, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -274\nAnswer: -3\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 4*w - 5*w)*(419*w**2 - 212*w**2 - 209*w**2) + (-2*w + 4*w - w)*(4*w**2 - 40 + 40) as q*w**3 + y*w**2 + x*w + u and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.17 (b) 1\/8 (c) 8\/17 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 4)*(0 + 1 + 1) + 4 - 2 - 3 + 0 + 4 - 11)*(1 + 2 - 2)*(-5 - 27 - 34)*(-y + 3*y - y)*(-4*y + 2*y + y)*(7 - 7 - 2*y**3).\nAnswer: 528*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(2\/21))*n)**(1\/6)*n**5*n**29 assuming n is positive.\nAnswer: n**(4303\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245736, -245745, -245754, -245763?\nAnswer: -245772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j + 2. Let n be o(3). Let h(k) = k**3 - 21*k**2 + 84*k - 53. Let l be h(16). Solve 4*d + l = -5*t, -d - 2*t - 2*t - n = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 6*n**2 + 2*n - 2. Let b be w(-2). Let o be (-162)\/(-4) + (-1386)\/252. Calculate the greatest common factor of b and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (-3*sqrt(18))**2 - (-1*sqrt(20))\/sqrt(10).\nAnswer: -162 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 9, t: 6, m: 2}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1017718?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19529 + -2445719.\nAnswer: -2426190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from owppwwp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 69 = -x - 70, 2*x = 4*s - 26 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16978 by -8489.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 4 + 4)*(74 + 25 + 50).\nAnswer: -298*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 + -12 - -41) + (3 + (1 - 5) - 31).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**3 - 1380*c**2 - 16*c + 5520 = 0.\nAnswer: -2, 2, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*x - 25*x + 797*x + 87*x.\nAnswer: 971*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1335 minus 7.7?\nAnswer: -1342.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 97859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 6*u + h - 8, -u = -4*h + 18. Sort 0, 7, u in ascending order.\nAnswer: u, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 5. Let n be 102\/(-15) - 3\/15. Is a(n) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 214a6281?\nAnswer: 214a6278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4519 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 14*u - 33. Let t be y(-9). Let i(s) = -22*s - t*s + 3 - 12*s + 47*s. What is i(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 345853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 35 = 31. Let j = -11 + n. Suppose -4*r = 5*f - 18 - 34, -3*f = 5*r - 39. Solve j*z - f = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2633\/7860606 - 7\/14638. Is -1 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 127185*w**2 + 635820*w - 508640.\nAnswer: 5*(w - 25432)*(w - 4)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 15197?\nAnswer: -15196.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -i - 4*z, 0*i + i = -5*z + 18. Suppose -b = -3 - i. What is the tens digit of (20\/b)\/((-1)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 + 5*p - 34\/3.\nAnswer: (p - 2)*(p + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 405?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 5*y - 0*r - 1, -2*y = 12*r - 26 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2282*0.46668\nAnswer: 1064.96376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50725.\nAnswer: 5, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/17*l**2 + 2\/17*l**4 + 0 - 48\/17*l + 12\/17*l**3.\nAnswer: 2*l*(l - 2)*(l + 2)*(l + 6)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0.449.\nAnswer: -0.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5)\/x**(-4)*x\/x**0*x\/(x*(x\/(x\/(x\/(x\/(x*(x\/(x\/((x*x\/(x*x**(-2)))\/x*x)*x))\/x*x*x)))*x))\/x*x) assuming x is positive.\nAnswer: x**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 2*f - 9*f + 66 - 22 - 15 - 15.\nAnswer: -11*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b + 4. Let d be (7 - 1)\/(-2 + (-42)\/(-12)). Let v(z) be the third derivative of -z**3\/6 + 13*z**2. Calculate d*v(f) + q(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1181854130 to the nearest integer?\nAnswer: 34378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5412 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvsss. What is prob of picking 1 v and 2 s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 125*a**2 - 6 + 5*a - 121*a**2 + 19 + 2*a**3 - 8. Let t(x) = 4*x**3 + 9*x**2 + 11*x + 11. What is 9*j(f) - 4*t(f)?\nAnswer: 2*f**3 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 6:57 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**6\/15 + l**5\/60 - l**4\/3 - 2*l**3\/3 + 10*l**2. What is the tens digit of q(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from joovoeojvojoojooov. What is prob of sequence ojj?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30.631882 - 30.9035. Let i = s - -0.272. What is i rounded to five decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 4*m**3\/3 - 17*m - 2. Suppose 5*d + 2*o = 20, -12*d + 9*d + 4*o = -12. What is the units digit of c(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9009287221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223917060.\nAnswer: 2, 3, 5, 619, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 780599*f**2 - 80*f + 1153428554?\nAnswer: 1561198*f - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -450 (b) -0.2 (c) 350\/9 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 46 = h, -3*h + 5 = 2*a - 10. Suppose 12 = 3*m - 2*m - 4*g, 3*m = -3*g - a. Solve 5*y + m*y - 15 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 l when three letters picked without replacement from {p: 1, x: 2, l: 2, o: 1, h: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5866.34 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 + 54 = 5*w - 5*n, -w + 53 = -4*n. Let b = -2 + 1. Let d be b + -4*(-2 - 1). What is the highest common factor of w and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -58. What is the third smallest value in 3, 1, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by -1066865.\nAnswer: 41\/1066865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 399911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 197687 to the power of 1\/2, to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x - 5*x + x - 15111*x**3 - 16*x.\nAnswer: -15111*x**3 - 27*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 87917057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(128) + 1 + -2.\nAnswer: 2 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**2\/2 + 8105. Let d(y) = -391*y**2. Calculate s(d(g)).\nAnswer: -391*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12272394 is divided by 183170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 47, 89, 117, 125, 107?\n\"Answer: -d**3 - d**2 + 52*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6137449?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 <= -55\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -373*i**4 - 3001*i**2 wrt i.\nAnswer: -8952*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j**2 - 8*j + 5. Let k be g(-7). Let o = k - -410. Let t = -121 + o. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19, -29, -41, -55, -71, -89?\n\"Answer: -f**2 - 7*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*f - 1, -3*c - 4*f = -8. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296071778*s**5\/11 + 26061032648*s**4\/11 + 321831091266*s**3\/11 - 7309455256*s**2\/11 + 5026592*s - 12672 = 0.\nAnswer: -11, 4\/529, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -76*-0.01\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/(-2))\/(7\/(-742))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000069895942 rounded to six dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.43 - 0.03. Let y = 1949 - 1945. Which is the third biggest value? (a) l (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/30)\/(26\/(-8) + 1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14567 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 1. Let s(i) = 5 - 3*i**2 + i**3 + 1 + 0 - 5*i. Suppose -p + 12 = 4*v, -2*v - 28 = -6*v + 3*p. Let x be s(v). Give m(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5\/2 - 2646*f**4 + 6593313*f**3\/2 + 539587939*f**2 + 21337684734*f + 40543433316 = 0. What is f?\nAnswer: -74, -2, 2721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from anaalnnnannnnlnnnl?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -497*d**3 + d**2 + d - 2. Let j be w(1). Let a = -318 - j. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 550660091 - 34.7.\nAnswer: 550660056.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34134 + -246?\nAnswer: 33555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -396.\nAnswer: -5\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 2850*q**2 + q - 2*q + 4*q.\nAnswer: -2850*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-192)*-16 - 1\/4. Sort 1, l, 1\/7, -20.4.\nAnswer: -20.4, 1\/7, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 6:34 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -341 (base 9) to base 12\nAnswer: -1b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1524\/(-18) + (-40)\/12 + 3. Let d = 86 + s. Solve -2*m = -2*v, 4*m - 5*v + d = -2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*z + 37. Let k be z\/(3 + (0 - 2)). Let t be k\/4 + (-24)\/(-32). Is t less than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p*t**4 + 5258*p*t**2 - 23*p*t + 2*p + 16*t - 2 wrt t?\nAnswer: -24*p*t**2 + 10516*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 225717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-40 - (79\/237 + (-6)\/(-9))) + -13\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 5 in increasing order.\nAnswer: -7, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 9*b**2 - 3*b + 10. Let n be g(8). Let i = n - -77. Let q be 6\/(i - -3) - -4. Calculate the greatest common factor of 105 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -1\/24*f**4 + 0*f + 1\/120*f**5 + 23*f**2 + 0 - 2\/3*f**3. Factor m(o).\nAnswer: (o - 4)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f + 8. Let a be s(6). Let b = 4 - a. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -82.017419?\nAnswer: -82.017419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 157 = 2*m - j - 2, -5*m + 103 = -3*j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(6) - 3*sqrt(864)) + sqrt(12)\/(sqrt(8)\/sqrt(4) - sqrt(2) - sqrt(2)))\/(sqrt(98)*2*5*-5).\nAnswer: 18*sqrt(3)\/175 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 plus 153174837776?\nAnswer: 153174837799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 10 (c) -3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.33 - -337.67. Let y = i - 338.27. Which is the third smallest value? (a) y (b) -2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4601*i - 1406*i - 6*i**2 - 3205*i.\nAnswer: -6*i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -145, -144, -143, -142?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -2)\/(36\/(-8) + 4). What is the closest to 0.4 in 1, x, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449519173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13997, 13961, 13925, 13889, 13853, 13817?\nAnswer: 13781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.084 times -9?\nAnswer: 0.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or -7600841?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b + 3. Suppose 2*z = 4 - 0. Let i be f(z). Suppose 5*y - d + 15 = 0, -2*d + 5*d = 5*y + 25. Sort -4, i, y in ascending order.\nAnswer: -4, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 0.011 (c) -19969\/2 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 103 = -21*o + 25*o, 2*o + 78 = 2*g. What is the remainder when g is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**22*i**(1\/13)\/i*((i*i\/(i**(2\/3)\/i))\/i)**(-15) assuming i is positive.\nAnswer: i**(14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -460 times -0.04\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -29. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 4. Let v be w(-11). Calculate the greatest common factor of 12 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27820.66nm in kilometers?\nAnswer: 0.00000002782066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4 = 8. Let g be 4 + (-2 + 1)*z. What is the second derivative of u**5 - g*u - 5*u**5 + 0*u wrt u?\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 773585 and 2584.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14346 and 932490?\nAnswer: 932490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let v(u) = 37096*u**2 + 31*u. Give v(t(c)).\nAnswer: 37096*c**2 + 31*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23014, -23090, -23194, -23326, -23486, -23674?\n\"Answer: -14*p**2 - 34*p - 22966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/27)\/((-2)\/(-444)*-2). Let l = o + -17. Let x be (l\/104)\/((-1)\/(-2)). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**2 - 4*h + 5. Let f be p(2). Let z = f - -29. Suppose -270 = -z*i + i. Calculate the greatest common divisor of i and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 4\/8 - (-54)\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 762 - 263. List the prime factors of f.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664*y = -704*y + 520 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 5*f**2 + 3*f - 10. Let y be 3 + -4 + 6\/3. Suppose 2*a + y - 11 = 0. Let q be r(a). What is the highest common divisor of q and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 9*h**2 + h - 3. Let n(d) = -2 + 5*d**2 + 4 + 3 - 7. Give 5*n(m) - 3*y(m).\nAnswer: -2*m**2 - 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1245 = 4*l, 2*l + 5*p - 308 = 311. Let m = -102 + l. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 459 - 459.541. Let w = -40.659 + b. Which is smaller: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -15544452?\nAnswer: 15544450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and -6.4.\nAnswer: 76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/8 - (-15)\/(-20). Suppose 5*z - 6 + 1 = l. Calculate the least common multiple of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48.58 - -48. Let w = h + 0.08. Which is the closest to 0.1? (a) -0.2 (b) 1\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcd when three letters picked without replacement from {g: 2, d: 3, q: 1, c: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*t + 1. Let w(l) = 7*l**2 - 8*l - 12. Let b be w(t). Let m = b - 678. What is m rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.42867+-1.6713\nAnswer: -3.09997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 4, 10\/7, 11\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 193615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*1 + 14 + -10. Let a(j) = 2*j**2 + j + 2. Let x(f) = -10*f**2 - 5*f - 11. What is v*x(i) - 11*a(i)?\nAnswer: -2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, j: 2, g: 10, o: 1}. Give prob of picking 1 g and 1 c.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 5*j + 2. Let u be k(3). Let q(f) = f**2 + 2*f + 12. What are the prime factors of q(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132254 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4\/3, -0.2, 7, 0.3 in descending order.\nAnswer: 7, 2, 0.3, -0.2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3048649908 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95.5404 + -1.4596. Sort -2\/47, 0.4, -2\/9, j in decreasing order.\nAnswer: 0.4, -2\/47, -2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 67135.\nAnswer: -4\/67135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1080.16 times 14\nAnswer: 15122.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*x = 1533, 2*x - 4*x + 6 = 0. Suppose -3*q - b = -384, -2*b - z = -2*q - 53. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 23*d**2 + d + 2. Let o be c(-1). Calculate the highest common factor of o and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.84 + 0.04. Let x = 5 + c. What is the nearest to 0 in -3\/2, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1\/31, -0.2, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22368086071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96*r**3*t + 2*r**3 + 2*r**2*s + 9*s*t + s wrt t?\nAnswer: -96*r**3 + 9*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/3)*l)\/(l**(-11)\/l))**(29\/2) assuming l is positive.\nAnswer: l**(1189\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + q - 7, q = 2*j + 4*q + 7. Let f = -14 - -6. Let t = 13 + f. Put -1, t, j in decreasing order.\nAnswer: t, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 169 + 2. Calculate the remainder when 46 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -251 + 496. List the prime factors of q.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -32*k - 42. Let p(h) = 3*h**2. What is l(p(m))?\nAnswer: -96*m**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 5*y - 4. Suppose -i = -0*i + 9. Let c be w(i). Suppose -6*k + c = -2*k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2610 = 2*f - 9368, -5*x - f + 16919 = 0. Does 27 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249343.05 months in centuries?\nAnswer: 207.785875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1868 and 644160653.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-21)\/(-6)) - (-37)\/7. Suppose -4*p + 495 = n*w, 3*w + 62 = -5*p + 359. Let y = w - 5. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 - 4*l**2 + 1. Is 3 a factor of b(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*m - 4*m - 42, -4*m + 2*s = -12. Let q = -5 + 1. What is the third biggest value in q, 1\/2, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.032 - 0.068. Which is the closest to o? (a) -2 (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 949002?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3599 from -31601.\nAnswer: -28002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 919\/154 + -42549\/7238. What is the common denominator of a and 5\/517?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**3\/3 + 113*i + 134. Let w(c) be the first derivative of g(c). Let b(x) = 27*x**2 + x. Determine w(b(n)).\nAnswer: 54*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 7*c**2 - 7*c + 41. Calculate the smallest common multiple of -2 - 3\/((-6)\/20) and z(2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2643516 a multiple of 796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 e when three letters picked without replacement from {x: 5, l: 8, e: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v. Suppose -8*i = 2*i - 0*i. Let m be c(i). Suppose 3*a = -0 + 15, -6 = 4*j - 2*a. Solve -5*k + 4*k - j = m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-27)*3*3\/(-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2\/5, 0, 0.56?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 53719 = -3*v - 53744, 65 = -5*w + 5*v for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26167 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 10*h - 23. Let s be b(12). Is s < 1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -601 + 407. Which is bigger: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**5\/60 - v**4\/6 + v**3\/3 - v**2. Let k be (-156)\/16 - (-2)\/(-8). Let o be (k - 0)*(-2)\/(-4). Calculate c(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9, 11, 31?\n\"Answer: 20*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*w + 6 = 0, -7 = -3*r + 14*w - 15*w. Solve -20 = -9*x + 13*x + r*h, -x = -5*h - 17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124 - -35. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.16 - 0.272. Let i = a + -0.518. Round i to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-14))\/(400\/10640) - 8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4030 and 6.\nAnswer: 24180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10124971 to the nearest integer?\nAnswer: 3182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63*0.018.\nAnswer: 1.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 15. Let f be 2\/t - 88\/(-14). What is the third derivative of a**f - 3*a**6 + a**2 - 3*a**2 wrt a?\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**3 - n**2 + 3*n + 1. Suppose 2*c - 8 = -0. Calculate the remainder when h(2) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 13. What is the derivative of 6*r**l - 3 - 14*r**3 + 3*r**3 wrt r?\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by 2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.01 + -20.51. Let b(a) = a**3 + 6*a**2 + a. Let s be b(-6). Let m be s\/4*(-4)\/10. What is the third smallest value in m, -0.2, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47074317?\nAnswer: 3, 15691439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17065190 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -65900 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 289 and 35258.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1877, 1256, 635, 14?\n\"Answer: -621*z + 2498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (105*n**2 + 1 - 49*n**2 - 19*n**2 + 6*n)*(-1 + 1 - n) - 10*n**3 - 2 + 9*n**3 + 5*n**3 in the form l*n**3 + u*n**2 + x*n + w and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16317781 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - -4 - (-3 - (4 + -2)). Let m(i) = i**3 - 4*i**2 - 5*i + 2. Let h be m(a). Sort h, 0, -5, -1 in descending order.\nAnswer: h, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/(-16)*4\/(-28)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 469\/6, -7\/16?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/648 and 109\/2160?\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27b567 (base 14) to base 9.\nAnswer: 2526233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggagavo. Give prob of picking 2 g and 1 v.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1370 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -18. Suppose q = -d - 5*s + 7, d + d = -3*s + 7. Solve -5*p - 3*l - 12 = -2, 0 = -p - d*l - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.0774634 and 3.\nAnswer: -18.2323902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 307.1703 litres?\nAnswer: 307170.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3934 = -88*s - 409*s + 14952. What is the remainder when 85 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -152*h**2 - 161*h**2 + 310*h**2. Let n(w) = 6*w. Determine a(n(j)).\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, -27, -42, -57, -72?\n\"Answer: -15*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*s + 64 = -73*s. What is the greatest common divisor of s and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 549, 1195, 2099?\nAnswer: 3261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-275)\/30 - -10)\/(1\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -32750085 * 4\nAnswer: -131000340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**3 - 164*q**2 + 9104*q - 17520 = 0.\nAnswer: -73, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*b**4 - b + 29*b**4 - 2*b**3 - 2*b**2 - 4*b**4 - 2 to k*b + o*b**2 + x + l*b**4 + t*b**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/4*1\/((-12)\/(-24)). Is 1.1 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 6*y**2 - 5*y + 3. Let d be i(-4). Let j(m) = -m**3 - 8*m**2 + 8*m + 1. Let q be j(d). Calculate the highest common factor of 80 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*x**3 - 2 + 4)*(17*x - 417*x + 28*x)*(-3 + 0 + 1) to the form z*x + t + d*x**2 + r*x**4 + i*x**3 and give z.\nAnswer: 1488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a + 319. Let w be h(-51). Let o = -616 + w. Solve 0 = 7*i - o*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1214*p**5 + 662*p**2 - 1.\nAnswer: -72840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, d: 3, p: 8, v: 4}. What is prob of picking 1 z and 1 p?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55210 is divided by 18294?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/299638 and -55\/9.\nAnswer: 2696742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.277 - 0.077. Let n = 9.1 - f. Let k = n + 7. Which is the nearest to k? (a) 4\/3 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 9:41 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-126)*12\/12\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3933 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31317 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*z + 2635 = 0, -89*a = -87*a + 2*z - 1300. Suppose j + 0*j - a = -4*x, 2*x = -3*j + 1945. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-72)\/3))\/((-12)\/16).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 25*y**2 - 21*y - 71. Let v be g(24). Let w be 46\/6 - (v + 7\/(-21)). Solve -2*c - 13 = -w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29.8 - -33.8. What is the nearest to 1 in v, 5, 2\/13, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*g + x, 0 = -4*g + 5*g + 4*x - 2. Let c be 3 - (3\/(-3) - g). Let d(o) = 7*o**2 - 7*o - 6. Let f(j) = -3*j**2 + 3*j + 3. Calculate c*d(v) + 5*f(v).\nAnswer: -v**2 + v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 plus -4.677186571?\nAnswer: -4.907186571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3351, 75, -1 in descending order.\nAnswer: 3351, 75, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 15 = 2*d, 2*d + 0*z - 4*z = -30 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 4*h - 4. Suppose 7*m - 8*m = 4. Let w be y(m). Let d = 60 + w. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2140 smaller than -2140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 640 + -640.4. What is the third biggest value in 4, t, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 8366005 = v, 44*v = 39*v + 2*j - 41830010. Round v to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18352, 27057, 35760, 44461?\nAnswer: 53160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14405300, -28810585, -43215870, -57621155, -72026440, -86431725?\n\"Answer: -14405285*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**4\/11 - 52*o**3\/11 + 86*o**2\/11 + 832*o\/11 - 864\/11 = 0?\nAnswer: -27, -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.6 - 10.4. What is the closest to 2 in d, 2\/5, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 11*b**2 + b + 1. Let n be y(11). Suppose -n = -2*m - m. Let l(h) = 6*h. Let z(v) = 303 - 303 + 5*v. Determine m*z(c) - 3*l(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-9 - (-13 + 8)) + 5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6431137?\nAnswer: 41, 227, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 - 22*w**2 + 22*w**2 - 2*w**4 + w**4 - w**4 - w**4 + 0 + 0 + (0*w**2 - w**2 + 0*w**2)*(w**2 + 6*w**2 - 5*w**2) - 2*w**2 + 2*w**2 - w**4.\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 63746 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 275*o + 274*o + 2 - 429*o**2 - 3.\nAnswer: -429*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 4*z + 2*z + 12435*z**2.\nAnswer: 12435*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1191.57505 and 995.\nAnswer: 2186.57505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*h + 130 = -0*a, -4*a - 4*h - 248 = 0. Let c be 3*1*3\/(27\/a). Let o(v) = -v**3 + 2*v**2 + 3*v + 1. Let s be o(4). Which is smaller: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (870\/36 - 24)\/((-12)\/(-1170))?\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85 by 2.\nAnswer: 85\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 12:57 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74255 is divided by 163.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36461 and 361.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -110370, -221165, -331960, -442755, -553550?\n\"Answer: -110795*s + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**8\/112 + 2*t**5\/15 + 4*t**2 + 2. Let c(m) be the second derivative of n(m). Find the third derivative of c(p) wrt p.\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w**2 - 300*w - 38. Determine a(43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*m + 0*m = -2, 10 = -3*q + m. Let v be ((-3)\/(-15))\/((-2)\/(-10)). Which is the nearest to -1\/2? (a) v (b) -4\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*l - 1224 - 765. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -7. Let r be t\/7 + (-87360036)\/(-84). Round r to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110011111010111101 (base 2) in base 6?\nAnswer: 14102113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Let t be (-2 - -2)\/2 + v. Sort 0, -1, t in decreasing order.\nAnswer: t, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -11.054?\nAnswer: 3.3162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12 and 534930.05473643.\nAnswer: 534918.05473643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9244 or -1\/2?\nAnswer: 9244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/(-10) + (-24)\/60. Let g(z) = 4*z**2 + z - 6. Calculate the least common multiple of 42 and g(i).\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbqb when four letters picked without replacement from {a: 4, b: 5, k: 5, l: 1, q: 5}.\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 1. Let i be b(-2). Solve 1 = 2*f + i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventy-five halves of a gram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4959686\/5, -0.1, 2 in decreasing order.\nAnswer: 2, -0.1, -4959686\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**4*v - 96*g**3*v + 2*g**2*v + 12*g*v wrt g.\nAnswer: -48*g*v - 576*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 12*t + l = -13, 2*l + 8 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 9*c + c**3 + 0*c**3 - 37 + 10*c**2 + 47. Give r(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 177\/197?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(-6)\/u*u*u)\/u))**(-3) assuming u is positive.\nAnswer: u**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -546 - -552. Let s(t) = 4*t**3 - 13*t**2 + 4*t - 3. What are the prime factors of s(n)?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(363) + (sqrt(363) - (sqrt(363) - (sqrt(363) - (sqrt(363) + sqrt(363) + sqrt(363)*1)))))*2 + 3*(0 + (1*sqrt(363) - sqrt(363))))*-5 + 4)**2.\nAnswer: 880*sqrt(3) + 36316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -140*z + 2173. Let t be l(10). Solve -8*s - t = -757 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*s + o + 8, 57*s - 2*o - 24 = 59*s + o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**4*b*b*(b\/b**(5\/6))\/b)**(-22))**14 assuming b is positive.\nAnswer: b**(-5698\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -1c02222?\nAnswer: 1c02228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -794 (b) -1\/6 (c) 0.2 (d) 0.5 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 513, 509, 505?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30688 and 7946.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 5*t + 18. Let s be x(6). Suppose 6*y - s = 2*y. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 + 5*q - 5*q + 4*q**3 + 0*q**3 - 2*q**3 + (0*q - 2*q + q)*(-4*q**2 + 2*q**2 + 3*q**2) - 3*q**2 + 3*q**2 + 3*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179998345?\nAnswer: 5, 23, 1565203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1011 * -168927.\nAnswer: 170785197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000074261263 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20, -1\/6, -0.03, 52, -2, 0?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 29958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21727.29 times -2\nAnswer: -43454.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.5, -9, -1645?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14336.466 + -14356. What is j rounded to 0 dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1*sqrt(220))\/sqrt(11))**2.\nAnswer: 8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 116 (b) -13\/4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189416865 + 189416865 - 600*o.\nAnswer: -600*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8*(-3)\/(-6) - -1) + 0. What are the prime factors of (-4818)\/(-24) - x\/12?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -7*w**4 - 543*w**3\/2 + 15547*w**2\/2 - 1614*w - 1102 = 0.\nAnswer: -58, -2\/7, 1\/2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 503481015 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76298*i**2*p**2 - 71*i**2*p + 3*i**2 + 76*i*p**2 + i*p - 2961*p**2 + 2 wrt i?\nAnswer: 152596*p**2 - 142*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1193094 and 612.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9186 + -9180. Let r(o) = -o**3 - 2*o**2 + o + 4. Calculate the lowest common multiple of r(-2) and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 52 + 42 = 0, -12 = 4*w - 4*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1545539, 1545342, 1545145?\nAnswer: 1544948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 - h + 24. What is l(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -95707, 0, -234?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7133 + -4188. List the prime factors of n.\nAnswer: 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + 1 - 1 - 3*n**3 - 33*n**2 + 36*n**2 as d*n**3 + u*n**2 + v + y*n and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 44755500 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: (0 - (-7 - (-13 + 8))) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, h: 1, b: 5, r: 6}. Give prob of sequence bhb.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 7*w**2 + 8*w - 8. Let b be n(6). Suppose -3*q - q = -b. Find the first derivative of -q - 2 - 1 + i wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -1)\/(5\/35). Let r = 4 + y. Let q = -9 + r. Solve -5*w = 4*d - 6*w - 16, -q*d = 3*w - 22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 699, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -10417*z - 3437605. Determine b(-330).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(2\/9)*j**(12\/5))**(14\/9) assuming j is positive.\nAnswer: j**(2002\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 2 (c) 14 (d) -1 (e) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 693?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 3*y**2 - 5*y + 10. Let p be k(3). Is p smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccr when four letters picked without replacement from {c: 5, r: 14}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2966882?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61119819.\nAnswer: 3, 37, 193, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 2699 divided by 7434?\nAnswer: 2699\/7434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40996?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**2 + 8*f**2 - 4*f**2 - 1 - 6*f. Let v be -2 - (5 + (1 - 2)). Determine g(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**2*v - 1053644*q**2 + 10*v - 7095 with respect to q.\nAnswer: -2*q*v - 2107288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5\/11 - 126*s**4\/11 + 1264*s**3\/11 + 1800*s**2 + 50400*s\/11 = 0. Calculate s.\nAnswer: -5, -4, 0, 30, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95547, -30, -4 in decreasing order.\nAnswer: -4, -30, -95547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -13 - (-2 - (11 - 13) - -6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 4*y + 5. Let o be x(-3). Suppose -3*g = -133 + 130. What is the closest to g in o, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, a: 2, u: 2, l: 3, p: 1, s: 3}. What is prob of picking 2 l and 2 a?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgxqxgfqxxxwqgn. Give prob of picking 1 w, 2 q, and 1 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 11, -0.3.\nAnswer: -2, -0.3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/1*31 + 8\/(-4). Let t = w - 28. Let d be t\/(-72)*(-2)\/(-12). Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 22?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 1. Let g(j) = -8*j - 3. Let r(f) = -2*f + 1. Let z(o) = g(o) - 2*r(o). Let s = 27 - 28. Calculate s*z(k) + 3*b(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 6*z**2 + 6*z - 3. Let p = 47 - 35. Suppose -p*u = -9 - 51. What is t(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*m**4 + m + 204*m**2 + 2*m**3 - 11*m**3 - 80*m**2 + 2 - 123*m**2 as b*m + z*m**4 + y*m**3 + g*m**2 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 15*f - 6*f. Let m(n) = -20*n - 856. Calculate the remainder when m(-47) is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55486632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h + 15. Let p be g(10). Let i be (p + -1 - (-2 + -1)) + 5. Let j = i + 12. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 15 + m - 1 - 2. Let s be l(-8). Suppose s*a + o + 25 = 110, -4*a + 2*o = -94. What is the smallest common multiple of 18 and a?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1300) + -1)**2*-1 - (4*(-2 + sqrt(1300))**2 + sqrt(1300) + 5)) + -5.\nAnswer: -6530 + 110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2925 and 4.4.\nAnswer: 2929.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11265655 (base 7) in base 2?\nAnswer: -11110010000000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -141*o**3*y**2 - 16190*o**3 + 54*o**2 - 1255926*y wrt y.\nAnswer: -282*o**3*y - 1255926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 5) + (-2)\/(-1). Solve w*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 743416 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u**2. Let s(q) be the second derivative of 43*q**3\/6 - 4*q + 6. Calculate s(c(n)).\nAnswer: -258*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) 372 (c) 3 (d) 1\/123 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + (-7)\/2)\/(12\/(-16)). Solve 0*p - 2 = -z*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5209*m**2 + 13051*m**2 - 7812*m**2.\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3. Let h be o(1). Let k be 2\/(-5)*((-77)\/7 - -6). Calculate the common denominator of (153\/6)\/h - k and 133\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 75 + 190 = 0. Let f = -57 + r. Let v = 71 + f. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**3 + 187*o**2 - 3670*o - 314. Determine c(-78).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide -4 - (2100\/(-18) - 1)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 2:56 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246945 is divided by 317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*m - 5*m. Suppose 0 = -0*h - h + m. Is 112 + 0 + h - 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**6)**6 assuming j is positive.\nAnswer: j**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45294?\nAnswer: 2, 3, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -2*y**3\/3 - y**2\/2 - y + 6. Let p be t(1). Which is greater: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5*w - 22, x = -0*x - 5*w + 4. Is 2\/6*x - -22 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21 + 2*(-2)\/4. Suppose 4 = 4*g + s. Calculate the remainder when (g\/(-5))\/(2\/150) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from uuzvuzuzuvuuvzz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 10260121 (base 7) in base 4?\nAnswer: 3110303023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z**2 + 2*z**2 + z**2 + (-2*z + 5*z - 2*z)*(-2*z - z + z) - z**2 + z**2 - z**2 + 2*z**2 - z**2 + 2*z**2)*(-70*z + 3*z**3 + 70*z).\nAnswer: -12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 + k. Let p be r(-1). Let d(a) = 4 + 0 + p*a - 2. Let i(m) = 338623 - 338632 - 5*m - 7*m. Give 9*d(n) + 2*i(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**3 + y**2 - 3*y - 144. What is the tens digit of c(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/5559 and 5\/39?\nAnswer: 72267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*18\/36.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1293 - -14211\/11. Let r(v) = 7*v + 1. Let x(b) = 5*b + 1. Let c(s) = -5*r(s) + 8*x(s). Let y be c(-1). Which is smaller: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/5 + 3253306*y\/5 + 2645999982409\/5.\nAnswer: (y + 1626653)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533.79144 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 13) in base 3?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3)**(-5\/2) assuming b is positive.\nAnswer: b**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -227357 - 185.\nAnswer: -227542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**2 + 1758*d = 0.\nAnswer: -586, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 4 - 43*b**2 + 11.\nAnswer: -43*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -131 - 24231433?\nAnswer: -24232004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116042 is divided by 27895.\nAnswer: 4462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*i + 71*i + 24 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -d. Let t be (7 - d)\/(2\/(-110)). Calculate the highest common divisor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17773223 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1060 or -25435\/24?\nAnswer: -1060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, w: 4}. What is prob of sequence wa?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 3:22 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**5\/20 - u**4\/4 + u**3 - u**2. Let z be q(3). Suppose -l + 0 = -z. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 1.467?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-39)\/6 - (-1)\/(-2). Let s be x\/4 - 9\/(-12). Put s, 1, -5 in increasing order.\nAnswer: -5, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.181 in -116, -3\/4, 0.4, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -21, -36, -53?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s\/((s**(-1\/11)*s)\/s))\/s)*s*s)\/s*s**11 assuming s is positive.\nAnswer: s**(131\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8287911 divided by -3\nAnswer: 2762637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-3 - (0 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((5\/(-1))\/(-20))\/(21\/24). Put -10, 3, 2, q in descending order.\nAnswer: 3, 2, q, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m + q + 29, m + 0*q - 6 = 2*q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 - 3*r**2 + 3*r. Let j be c(2). Let a = j + -6. Solve 17 = -5*m + a*k, 5*m - k + 15 = 4*k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9158 - 9158 - 14*f - 128*f**3 to the form z + i*f**3 + q*f + s*f**2 and give i.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, j: 2}. Give prob of picking 3 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1596741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 432794.\nAnswer: 2596764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*p + 7 + 8, -4*w + 2*p = -10. Let a(v) be the second derivative of -v**5\/20 - v**4\/12 + v**3\/6 - 2*v**2 - 5*v. What is a(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + 6*m + 1. Let v(y) = -2*y**2 + 7*y - 81. Let j(u) = 3*u**2 - 12*u + 135. Let r(z) = -3*j(z) - 5*v(z). Let q = -1 - -2. Give q*g(i) - 5*r(i).\nAnswer: -3*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3693.07 - -3693. Put 2\/19, -1\/7, u in ascending order.\nAnswer: -1\/7, u, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f - 25*f - 3*f.\nAnswer: -32*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1613 + -595. Let g = 1803 - j. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4455877 to the nearest integer?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*y**3 + 0)*((-7 + 3 + 3)*(3 - 3 + 1) + 9 - 34 - 86)*(-2*y - y + 7*y).\nAnswer: -896*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1638 - 635 = -59*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -693 - -697. Put 0.174, -1\/9, 1, u in descending order.\nAnswer: u, 1, 0.174, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -9 - 2*j - 1 + j. Let s be w(-10). Let g(a) = -3*a + s*a + 7 + 0 + a. Calculate g(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-16*195\/(-11960))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 462 - 466 - 8*d - 2*d + 3*d**2. What is the units digit of q(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -15*n**3 + 12*n**2 + 33*n - 12. Let g(p) be the first derivative of -p**4\/4 + p**2\/2 - p + 3. Let v(o) = -18*g(o) + m(o). Solve v(w) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -6 - 4 - -16 - 7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 14 + 16 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27230 and 154?\nAnswer: 299530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -24*z - 106. Let h be d(-8). Suppose h*k = 80*k + 4728. List the prime factors of k.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*q - 129 - 107 = 288 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 278879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/(-81) - (-2 + (-1)\/3). Solve 5*h - 5*a = 30, -a = j*h + 4*a + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -11*o**4\/24 - 5*o**3\/3 - 14*o**2. What is the units digit of u(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 147 + (-3419 - -3168).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283489159.\nAnswer: 59, 81439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8850, 70559, 237918, 563715, 1100738, 1901775?\nAnswer: 3019614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/2, -1, 6\/5, 380\/43, 5 in decreasing order.\nAnswer: 380\/43, 5, 6\/5, 1\/2, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20107795 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14067\/4 - 3560. Which is smaller: r or -42?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2934*v + 184*v**3 - 2934*v - 132 wrt v.\nAnswer: 552*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 256 - 1727 = -5*b, b + 669 = u. Suppose -5*y = -2*k + 1203, 1704 = 4*k + 2*y - u. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9492160 - -6174905. Let c = y + 417255. What is c rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 3*l + 5*l)*(1 - 5 + 7).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(3\/4))**39*(s\/(s\/s**(8\/3))*s*s)\/(s**8*s))**(-42) assuming s is positive.\nAnswer: s**(-455\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*11\/(-55) + (-86)\/(-20).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/6 - 0*(-1)\/(-1). What are the prime factors of 135*k + 0\/(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 15 = 6*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 1:27 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 2:54 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2718 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -267, -388, -489, -564, -607, -612?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 0 - 1) + 18.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*d - 2481 - 405. Let q = d - 1108\/5. What is n in q*n**2 + 2\/5*n - 4\/5 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1797224220?\nAnswer: 2, 3, 5, 11, 302563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535.466 hours in milliseconds?\nAnswer: 5527677600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (1 - (-11)\/(-9)). Suppose -8*q + 3*q + l + 24 = 0, -q - 3*l - 8 = 0. What is the third smallest value in r, -0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8\/(u**(-5\/3)*u))\/((u**(-28)\/u)\/((u**(-37)\/u)\/u)) assuming u is positive.\nAnswer: u**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*2\/220)\/((-80)\/24400) + -10.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, s: 2, l: 7, t: 1, b: 2, z: 2}. Give prob of sequence zzss.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -24. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 4*w**2 + 13095. Let p(n) = 4*n**2 - 5*n**2 - 2*n**2. What is p(l(m))?\nAnswer: -192*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s + 44. Let a be j(21). Let u(l) = -36*l**3 - 2*l**2 - 3*l + 10. Let c be u(a). What is c rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 362 - 485 = 0 for n.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 5929067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*x + 5. Let h be (1 - 28)*-1 + 2 + x. Suppose -h = 13*d - 18*d. Solve -d = -8*o + 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*o**2*r**4 - 6292*o**2*r**2 - 30290*o**2*r + 1505765*o*r**3 - 5*r**4 wrt r?\nAnswer: 600*o**2*r + 9034590*o - 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 457 = -852. Suppose -7*r + 3*r + 2*q + 94 = 0, -q = -5*r + u. Calculate the highest common factor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 - 41*y + 214. Let g be v(4). Find t, given that 4\/3 + 2\/3*t - 2\/3*t**g = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 2*r = -3*r - 7, 2*r = 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)*n**(-1\/7))\/(n\/n**1)**(1\/11) assuming n is positive.\nAnswer: n**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from goottooog. What is prob of picking 2 g?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713463682 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-264)\/14 + 2)\/((-10)\/70). Find the first derivative of -m*f**2 + 26*f - 119 + 29*f + 21*f - 76*f wrt f.\nAnswer: -236*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5481336 equal to 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z**23\/z))*z*z**(-17))**(-1\/7) assuming z is positive.\nAnswer: z**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -11*g**3 - 11*g**2 - 5*g - 10. Let a be o(-7). Is (a\/(-4))\/(8\/(-32)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - 68*q - 2165. What is k(54)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7\/(o*o*(o\/(o\/o**(8\/3)))\/o*o))\/(o**(1\/15)*o\/(o*o*o**(3\/2))) assuming o is positive.\nAnswer: o**(143\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.1. Let s be (-10)\/4*24\/(-10). Suppose -5*z - 2*b = 2*b + s, 2*z - 20 = 4*b. What is the closest to y in 5, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-10) - 206\/(-515).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -241, -482, -723, -964, -1205, -1446?\n\"Answer: -241*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmom when four letters picked without replacement from {v: 4, o: 2, g: 4, m: 2}?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 177587530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -132?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 10*l**2 + 1041*l - 26114. What is y(-125)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j - j**2 + 1)*(17994*j**2 - 57*j**3 - 17994*j**2 - 6*j).\nAnswer: 57*j**5 - 51*j**3 - 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7 + (-5665)\/5005 + 1.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -237, -334?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-2)\/2)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 9:53 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-1\/4)*f*f)**(3\/11)*(f*f*f**3)\/(f*f\/(f*(f\/f**9)\/f*f)))**(-20) assuming f is positive.\nAnswer: f**(655\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 434633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.252 + -0.048. What is the third smallest value in y, -0.069, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/6*(-24)\/18. Let d = -1 - x. Sort d, 2, -5 in descending order.\nAnswer: 2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o**2 + 29*o - 29*o + (-5*o + o + 2*o)*(0*o + o + 0*o) + 14*o**2 + 22*o - 22*o)*(1 - 1 + o + 3) as a*o**2 + m*o**3 + i*o + t and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*u + 324 - 27. Solve 9*r - 6*r + u = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 11.1. Let u = k + -0.16. Let m = u + 0.06. What is the third smallest value in -1, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -21*f + 1. Let l be k(-1). Suppose -2*r + 5*z - 3*z = -l, 0 = 2*z + 2. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i. Let v(a) = -29*a + 54*a - 27*a. Calculate l(v(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -3. Let l(h) = -8*h**3 - 2*h**2 + 1. Let j be l(f). Let z(t) = t**2 - 7*t + 5. Let x be z(j). Solve x*b - 2*b = -6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 3. Suppose -2*t = 4*n - 58, -2*t = 3*t + n - 100. Suppose -21 = 5*j + 3*s, 5*j + 4*s + 4 = -t. What is k(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 4:40 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (10241\/14630)\/((-4)\/10)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 19*s**2 - 4*s. Calculate m(2).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 - 6*q + 4. Let m be x(-3). Let f(g) = -g**3 - 6*g**2 + g - 2. Let j be f(m). Is j\/176 + (-2389)\/(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-1 + -4 - -1). Let -25*i**3 + 12*i**4 - 15*i**2 + 7*i**z + 5*i**3 = 0. What is i?\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 27*m = 0. Solve 3*d + 0*d - 9 = m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410222557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -72, -5 in decreasing order.\nAnswer: 4, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2. Let j(h) = 19*h**2 + 5. Let k(d) = 9*d**2 + 2. Let s(c) = 2*j(c) - 5*k(c). Determine x(s(w)).\nAnswer: 98*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1326 + 1326. Suppose -3 = -v, -2*r + 4*r + 4*v - 12 = 0. Solve -2*q + r - 4 = -4*d, -2*d - 2 = a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -335717 (base 8) to base 6.\nAnswer: -2233555","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 1, -872, -5?\nAnswer: -872","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c**2 + 5*c. Let a(z) = 3*z**2 + 4*z. Let y(d) = 5*a(d) - 4*w(d). Let j(s) = -6*s**2. Let m = 753 + -749. Give m*j(v) - 22*y(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/24*(-54)\/(-45)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = g - 9. Let i be (3 + (-1029)\/(-15))*g. Let u = 28649\/20 - i. Calculate the common denominator of u and -17\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, -0.4, -0.1, -15.33 in descending order.\nAnswer: 0.5, -0.1, -0.4, -4, -15.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253487149.\nAnswer: 253487149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 415457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(40\/(-15))*8\/(-6). Which is the closest to 0.1? (a) 0.2 (b) 5 (c) 2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-202290)\/(-168575)*10\/1284*-2.\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(-18*z**3 - 72*z**3 + 27*z**3) to n + o*z + l*z**2 + y*z**3 and give y.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -221, -330, -439?\nAnswer: -548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -182, -139, -94, -47, 2, 53?\n\"Answer: i**2 + 40*i - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141 - 149.7. Let t = -32.7 - y. Let b = t - -23.99987. What is b rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3859158 and 44.\nAnswer: -3859114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 5292*b + 6*b**3 - 3*b**3 - 20150 - 16894 - 252*b**2.\nAnswer: 4*(b - 21)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -236 + 710\/3. Let y = -302 - -290. Let t be (-9)\/6*4\/3. Put t, w, y in decreasing order.\nAnswer: w, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -3*l + 270. Let g = 38 - l. Suppose -11*b + g = -9*b. Solve -2*x + b*x - 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6*16*(-1)\/(-6))\/(4 - 3). Solve -5*k = 14*y - 16*y + p, 4 = -2*k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 + 6*m**5 - 2*m**5 + (2*m - 2*m + m)*(4*m**4 - 4*m**4 + 3*m**4) - 3*m**5 + 4*m**5 + m**5.\nAnswer: 7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 37204.1 to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -7*t**3\/5 - 3*t**2 - 9*t\/5 - 5. Suppose d(b) = 0. Calculate b.\nAnswer: -1, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 1 = -1, -1404*z + 1 = -1405*z - 5*x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -60 and -0.2314.\nAnswer: -60.2314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3617731207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/95 + 51\/95. Let y(z) be the third derivative of z**6\/120 - z**5\/12 + z**4\/8 + 5*z**3\/6 - 2*z**2. Let p be y(4). Is p at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11136483, 11136437, 11136391, 11136345, 11136299, 11136253?\nAnswer: 11136207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(98) + -2)*-1)**2 - sqrt(98))*-2.\nAnswer: -350*sqrt(2) + 1020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**4\/12 - 3*z**3\/2 + 11*z**2 - z - 13. Let d be t(8). Calculate the highest common factor of d and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-11) - (-2786)\/154 - -2. Suppose 5 = j - 5. What is the highest common divisor of j and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (sqrt(90)\/sqrt(2) + 5)**2).\nAnswer: 60*sqrt(5) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110658914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cttctttcctctttcttt. Give prob of sequence tttc.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u = -2*u - x - 29, 0 = 3*u - 5*x + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 5) + -1 + 2 - -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 5, -1065, 2, -0.3 in decreasing order.\nAnswer: 5, 2, -0.3, -62, -1065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, k: 1, f: 3, o: 2, m: 2, h: 3}. Give prob of picking 3 f and 1 o.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/89255 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 141 and 1.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/273192 and 143\/273192.\nAnswer: 273192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 x, and 1 d when three letters picked without replacement from {w: 1, q: 4, x: 3, d: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 20. Is (-8 + b)*113\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 73041501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7890\/17 + -464. Let s = -48 + -105. Let w be ((-34)\/s)\/(4\/(-6)). What is the second biggest value in 0.4, w, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.07 (b) -3.6 (c) -8 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1094494*h*y - 2*h + 1065144 wrt y?\nAnswer: -1094494*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 67. Suppose 28*q = w*q - 14084. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32364 + 32648. Which is the third biggest value? (a) s (b) 0.7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 61*n**2 - 15*n - 4. What is o(-1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0*a - 4. Let g be 2\/(a*(-3 + 2)). Let l(f) = -f**3 - 2*f - 1. What is the lowest common multiple of l(g) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -10*n**3 - 2*n**2 + 6*n - 3. Let u(r) = r**3 - r. Give -k(c) - 5*u(c).\nAnswer: 5*c**3 + 2*c**2 - c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -101422414 (base 5) in base 10?\nAnswer: -420359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 185963568 and 224.\nAnswer: 371927136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 + 7013*c\/2 + 14025\/4.\nAnswer: (c + 1)*(c + 14025)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56938761 divided by 1.\nAnswer: -56938761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.97002346 rounded to one decimal place?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 + 100.000184. What is n rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7210830 from -751.2.\nAnswer: -7211581.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 10 = -k, -33*u - 20 = -29*u + 3*k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*k - 277*k + 60*k - 4 + 60*k + 93*k.\nAnswer: 3*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 563954?\nAnswer: 563954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (28 + (-72 - -25))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 719327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 8. Let l be 72\/9 - 1\/1. Suppose -10*r = l*r - 306. What is the least common multiple of g and r?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m**12))\/m)**(-16) assuming m is positive.\nAnswer: m**192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 - 5*a**2 - 4*a - 4. Let d be z(-3). Suppose 2*w = -3*k - 11, 3*w + d = -k - w. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 - 2*f**2 - f + 0*f + f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -12. Suppose -4*v - 4*n + 24 = y, -3*v - n + 3*n = -8. Solve -19 = 3*g - 4*l, -v*g + 2*l = 6 + 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 5*x + 2. Let q be s(-4). Suppose 0 = -q*n + 2*n. List the prime factors of 3 - (-1)\/2*n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 6:55 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-20))\/(9\/6). Let s be (-3)\/9*(-1 - 0). What is the biggest value in a, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1327*w**2 - 9*w**2 - 2208*w**2 - 907*w**2. Let i(a) = 4*a. Determine s(i(h)).\nAnswer: -71216*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -17. Let y = 2 - -2. Suppose 2*v - s - r - 11 = 0, -y*v + 40 = -5*s. Solve c - v = 3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven quarters of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2206*t**6 + 751*t**6 - 1943 - 1179*t**6 + t**2 wrt t.\nAnswer: -316080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1944 = 2*k. What is the greatest common divisor of 36 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 12 - 27. Suppose -m*i + 4*a = -2*i + 7, -2*i - 13 = -a. Is i less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1 = 6. Let h(z) = -z**3 + 9*z**2 - 10*z + 12. Let f be h(8). Let n = -0.6 - -3.6. What is the nearest to l in f, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6297 (base 11) to base 2.\nAnswer: 10000010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122947 is divided by 1397.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-4))\/(12\/8*(-5)\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 690.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 t, and 1 a when three letters picked without replacement from {a: 1, e: 3, v: 1, t: 1, u: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14\/165, -4\/5, -1\/2?\nAnswer: -14\/165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27.9 times -0.0299818\nAnswer: 0.83649222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -37*z**2\/2 + 10*z - 13. What is the tens digit of j(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -94*t - 12782. Calculate z(-148).\nAnswer: 1130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15351298 to the power of 1\/2, to the nearest integer?\nAnswer: 3918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - k - 10 = 2*k, 3*k = 4*f + 38. Let z = f + 12. Let l be z\/6 + 870\/45. Calculate the highest common factor of 50 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyyyxxxxyyxyy. What is prob of picking 3 x?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*a = 6*k - 30, -2*k - 3*a + 20 = 0. Factor 5*u**2 - 11*u**3 + 6*u**3 + 5*u**2 + k*u**2.\nAnswer: -5*u**2*(u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1156 = 75*r + 44 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -389 smaller than -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/8 + (-748)\/(-16).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -2\/119 (b) 2\/5 (c) 5 (d) -2\/637 (e) -51 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*p**3 + 192*p**3 + 23*p**4 + 4549 - 182*p**3 with respect to p.\nAnswer: 92*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(3) - (sqrt(48) - sqrt(3))))\/(-1*2*sqrt(2)) + (sqrt(196)\/(1*sqrt(4)))\/(sqrt(448) + sqrt(448) + sqrt(448)*4).\nAnswer: 13*sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*n - 6216 = 0, -4*n + 4662 = 319*s - 316*s. Calculate the remainder when s is divided by 46.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by 1577268\nAnswer: -31\/788634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 1230.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00074 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-36) + 20\/90. Let t = 393 + -426. Which is the third smallest value? (a) t (b) h (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkck when four letters picked without replacement from bkubccbkbucubbc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 > 9715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -2 (c) -0.0556 (d) 0.6 (e) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 2*h**3 + 15 + 0*h**3 as d*h + n + p*h**3 + m*h**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - -88. Suppose 73 = 4*z - 103. What is the greatest common factor of z and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -251 + 405. Suppose -4*b = -c + 42. Suppose 3*n - 4*n = -g - 1, -4*g - 2*n - b = 0. Is g not equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.4, 7\/18, -8\/3, 0.2?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25759854858 and 0.046.\nAnswer: 25759854858.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 1 + 0 + (-5 - -11) + -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -2. Which is the closest to -0.1? (a) -5 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f - 8*f - 7*f - 2*f to the form v + j*f and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-633)\/6)\/(7\/(-28)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93997 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2326 + 3a?\nAnswer: -22ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from rkqlalkakkkakakkkrl?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10885 = -3*s - 4*p, 6*s - 10*s + 14564 = -p. Calculate the remainder when s is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + w**2 - 7*w - 1. Let h be d(-3). Let t(m) = -m**3 + 2*m**2 - 2*m - 2. Give t(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4698 + -4698.5. Which is the second smallest value? (a) 0 (b) t (c) 3 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 - 8*x + 2. Let w be -13 - (-14 - -2) - -4. What is o(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 418 and 27412.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -776*l + 103*l - 380*l - 46*l.\nAnswer: -1099*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -2*sqrt(19) + 2)**2 + -2 + (sqrt(1900) + 2)**2*1 + 4.\nAnswer: 36*sqrt(19) + 1929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - 46*r**2 - 5*r - 116. Let m be l(-23). Which is the closest to m? (a) -5 (b) -4 (c) 325 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680958 at least 680939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -986403365 to the nearest 1000000.\nAnswer: -986000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -74, -69.\nAnswer: -74, -69, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-3\/5))**(-4\/7)\/(v**0)**(-7\/3) assuming v is positive.\nAnswer: v**(-8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 163 and 46129?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + -4 + 5 + 1*sqrt(720) + 0))**2.\nAnswer: 120*sqrt(5) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (2*sqrt(1458))\/((sqrt(216) - sqrt(216)*2 - sqrt(216)) + sqrt(216)) + (sqrt(9)\/sqrt(3) + 5 - (-1*sqrt(3)*-3 + sqrt(3)))*-3).\nAnswer: -114 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -196155 greater than or equal to -196156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99156 is divided by 453.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -1. Let c(h) = h**2 + 2*h + 5. Let x be c(g). Solve -6*u + x = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108902553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4036 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 18*s - 20*s = 14, 2*u + 2*s = -18 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 + -0.8. Let i = 2 + u. Let z = -2.1 - -2. Which is the closest to 3\/5? (a) i (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 798 + -795. Determine q so that -2\/5 + 6\/5*q**4 + 8\/5*q**n - 4\/5*q**2 - 8\/5*q = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3252067142.\nAnswer: 2, 2647, 614293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -12*n**4 - 6*n - 1. Let r(x) = -871*x**3 - 7*x + 871*x**3 - 1 - 11*x**4. Let o(m) = 7*b(m) - 6*r(m). What is the derivative of o(v) wrt v?\nAnswer: -72*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + 5*q**2 - 3*q**2 + (-1 + 1 + q)*(-2 + q + 2)*(-12 - 8 - 5).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5976728?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1352 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502912489?\nAnswer: 113, 4450553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 109*j - 628 - 284 - 1268 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144931.\nAnswer: 144931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1215698 divided by -605.\nAnswer: 110518\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -1\/3 (b) 15 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*x - 2*x - 39 = 0, -3*x + 9 = 0. Suppose 0*d - 5*v + p = d, 0 = -2*d + v + 12. Solve 0*i = 3*i - d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 263771\/61168 + 1\/3823. Suppose 363 + 164 = o. Let m = o + -2049\/4. Calculate the common denominator of b and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21\/8? (a) -4 (b) -6 (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142138128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -252.043242 + 767.0432896. Let r = c - 515. What is r rounded to 6 decimal places?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -155*t + 150*t + 4895. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39961635 is divided by 494.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -727 (base 9) to base 12\nAnswer: -414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 divided by 11609?\nAnswer: -264\/11609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003407211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 12. What is the tens digit of j(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3720 + -2150. Suppose -4*r - h = -3*v, 0 = -9*v + 4*v - r + 2609. Suppose 0*f = 4*b + 2*f - v, -2*b = 3*f - 259. What are the prime factors of b?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 26*h + 228 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2\/5 - 76*s - 776\/5.\nAnswer: 4*(s - 97)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*(1540\/200)\/7.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 - 51*g**2 - 165*g - 1. List the prime factors of s(-22).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 - 65. Suppose n = -p + y + 1, p - 3*p + 3*y + 3 = 0. Solve -i + p*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.23756 or -2942?\nAnswer: -2942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -11\/29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 932 times -2782?\nAnswer: -2592824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -535, -512, -493, -478, -467, -460?\n\"Answer: -2*k**2 + 29*k - 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35345521?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 462*(0 + (-16)\/(-6)). Suppose 3*w = -f + t, -5*w + 1431 = 2*f - 621. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - 33. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 13 = -3*h, h + 3*t = 3*h - 13. Suppose -3*g + 37 = -a, h*a + 75 = 5*g - 0*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 2\/5 (c) 292\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 21113.\nAnswer: 63339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*p + 128 + 192 = -74*p. Solve -5*z + 15 = 5*s, 13 = -z + p*s - 5*s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in months?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/2)\/a**(-5\/9))**43 assuming a is positive.\nAnswer: a**(-731\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3568399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(84) - sqrt(84)*2 - sqrt(84)) + sqrt(84) + sqrt(84) + 1*-1*sqrt(84))\/((sqrt(18)\/sqrt(6)*-1 - sqrt(3)) + sqrt(75)*-5).\nAnswer: 14*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*l + 1190, 2*n = 4*l - 2267 + 697. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -4, 1, 11\/4, 117?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*i - 33, -15*x = -11*x - i - 91. Let t = -5.04 + 0.04. Which is the third biggest value? (a) t (b) 2\/5 (c) -2\/7 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -316, -669, -1022, -1375, -1728, -2081?\n\"Answer: -353*t + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4506 + 29946 = -58*v. Let r = -579 - v. Solve 5 = 5*s + r, x - 2*s = 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11222 + 2111211?\nAnswer: 2200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 9, m: 3}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 116\/10 + 9\/((-180)\/(-8)). Suppose 912 + 2664 = l*h. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 14*v + 114. Determine h(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.407063 rounded to two dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 1253625?\nAnswer: -1253633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 165 - 177 = 0. Let o = h - -37. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -526 - -525.9428. Let q = 0.06014 + k. Round q to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*y = -11, -q - q + y = 2. Let u(p) = -p + 3. Let f be u(q). Suppose 3*g + 13 = 2*m + f*m, 5*m = 3*g + 17. Which is smaller: g or 21?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4653 = 286*i - 2978 - 663 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 410778680?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.33 and 45?\nAnswer: 14.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 11*m + 145, 535 = -3*m - q + 538 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -142 (b) 142859 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 12*k - 16*k - 38, -3*k - 67 = 5*b. Let c(p) = -p**3 - 4*p**2 + p + 1. Let g be c(-2). Let o = g - b. Put o, 0, -5 in descending order.\nAnswer: o, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 32*z**2 - 76*z - 2135. What is the tens digit of d(-48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1123001 + 774870847\/690. Calculate the common denominator of 119\/120 and g.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**3 + j - 1. Suppose -3*y + 40 = 7. Suppose 3*t + 8 = y*t. Let a be c(t). Solve -2*n + 3*z = z - a, -3*n = -4*z - 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297*f - 15 = -294*f. Let i(c) be the second derivative of -c**4\/12 - c**3 + 3*c**2\/2 + 2*c. What is i(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38260, -38377, -38494, -38611?\n\"Answer: -117*f - 38143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 54*r - 6. Let u(y) = -11*y + 1. Let z(t) = 4*m(t) + 21*u(t). Let c(h) = -h - 8. Let b be c(-4). Is z(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360 divided by -360.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 65084 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9070 or 1.01?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.10099 and 1.9.\nAnswer: -0.191881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(13))*-2 - (sqrt(26)*-1)\/sqrt(2).\nAnswer: -sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 1. Let f = -2.5 - v. Let t = -0.07 + -0.23. What is the closest to -1\/4 in t, 5, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 1. Let d(f) = 4. Let v = -2967 + 2968. Calculate v*d(w) - 5*a(w).\nAnswer: -5*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.787 - 2.679. What is the closest to -7 in 1, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 7*d**2 - 10*d**2)*(0*d**2 + 2*d**2 - d**2) - 20 - 342*d**4 + 22 + 355*d**4 - 2*d**2.\nAnswer: 11*d**4 - 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**3 + 51*g**2 - 21*g - 97. Calculate n(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*f + 2 - 4 + 106*f.\nAnswer: 5*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48182\/55 + 876. Let c = 1700 - 1699.9. Put y, c, -4\/9 in decreasing order.\nAnswer: c, y, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1418388 divided by -354597.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2613.4 - -2608.4. What is the closest to -3 in 0.97, 3\/5, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k + 1. Let l be w(-1). Let z = 8 - l. Suppose 2*o = -z*o. Solve -4*m = 5*j - 20, 5*m - 25 = -o*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.445 + -0.445. What is the third smallest value in 5, z, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 244, 484, 722, 958, 1192, 1424?\n\"Answer: -s**2 + 243*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17a + c0c5?\nAnswer: c250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*z = -6*z + 29, 3*d + 2*z = 18. Let u(g) = -g + 3. Let h(p) = -2*p - 1. Let o be h(-4). Let s be u(o). Sort s, 2, d in increasing order.\nAnswer: s, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -3\/38, 0.2, -319?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82.6 + 89. What is w rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**2*x**4 + 1164*b**2*x**2 + b*x**4 + 9*x**3 wrt x?\nAnswer: 72*b**2*x + 24*b*x + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5) + sqrt(10)\/(sqrt(4)\/sqrt(2))) + (sqrt(8) + -2 - -4*(sqrt(2) + 0)).\nAnswer: -2 + 13*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6032 and 94.5.\nAnswer: -5937.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 874, 879, 886, 895, 906, 919?\nAnswer: 934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q + 2. Let b be w(-1). Suppose b*i = -2*r - 0*r + 8, 2*r = -3*i + 4. Let t(d) = d + 5. Let s be t(r). Put -2, 3, s in descending order.\nAnswer: 3, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -4*d + 18. Which is greater: -7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3376475359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -211, -501, -919, -1471, -2163, -3001, -3991?\nAnswer: -5139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*j - 1 = -9, 4*j = l + 16. Let s(p) = 5 + l - 4. Let b(y) be the second derivative of -y**3\/3 + y**2 + 81*y - 2. Calculate b(o) - 3*s(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 9*s - 6*s. Let h be ((-5)\/s)\/((91\/8)\/(-7)). Let u(g) = -g**3 + 3*g**2 - g + 3. Let t be u(3). Is h equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 1. Let p be f(-4). Suppose 8*a - p - 3 = 0. What is the remainder when ((-16)\/20)\/(a\/(-80)) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 812 = -7173*y + 7202*y. Calculate the remainder when 579 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*j**2 + 8 - 161*j - 62*j**2 + j**3 + 164*j to p*j**2 + v + q*j**3 + c*j and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 greater than 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85.066 + -0.066. Let m = 6106299.13500083 + -6106384.135. Let v = m + r. What is v rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5355403*y - 4469210 wrt y?\nAnswer: 5355403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 497544 at least as big as -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4459 - 84723\/19. What is the closest to 0.4 in r, 0.1, -2\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - -54.42. Let t = h - -0.58. Let b be 6\/(-4)*(-4)\/15. What is the closest to b in t, -1\/3, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 343 = -301 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**3\/6 + 4*z. Let i(y) = -2*y + 1. What is 3*i(s) + 7*t(s)?\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -16. What is the third smallest value in -0.2, m, -10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/11799 - -169159\/235980. Let o = z + 1\/30. What is the second biggest value in o, 1, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7*h**3 + 4*h - 10. Let n(m) = m**3 - m + 2. Let k(u) = i(u) + 6*n(u). Determine k(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-5) - (-10 + (-506)\/(-55))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 12*o - 1. Let u be x(1). Let q = u - 7. Suppose 8*d - 4 = q*d. What is the greatest common divisor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 123, 121, 119, 117, 115, 113?\n\"Answer: -2*d + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 21. Let u be -4 - 24\/(-3 - o). Is 7\/(((-28)\/u)\/7) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 10*s**3 - 2494. Let c(g) = 2*g**2 + 96. What is w(c(z))?\nAnswer: 120*z**4 + 11520*z**2 + 276480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002780922 to seven decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -5, 0, 4632, 3.\nAnswer: -5, 0, 3, 47, 4632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 122 = 113, -2*n - 4*i - 18 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 16*h - 54. Let j be p(19). Suppose 4 = -c - 2*z, 2*c + 3*z + j + 3 = 0. Solve c = -o - 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 708 - 705. Suppose 4*v - 5*j = 1137 + 2056, d*v = -2*j + 2366. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7b008 + ad?\nAnswer: -7af5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 10*i**2 - 280*i - 1. Let f be z(28). Suppose 2*d + 3*d = -5*u + 330, 0 = -4*u + 4*d + 256. Suppose -u = -5*s - x + 27, -x - 98 = -5*s. Sort f, s, 2.\nAnswer: f, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 3*f + 7 - 6*f + 3. What is p(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274127 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*u - 1 = 389 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31802, -63602, -95402?\n\"Answer: -31800*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 565323 and -273641409.\nAnswer: -273076086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5114.894km to millimeters.\nAnswer: 5114894000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 12:09 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3025499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1 + 99*y**2 - 214*y**2 + 109*y**2. What is b(-2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -116, -4\/9, -3?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 7*x - 408. Suppose 2*h - 73 = -x. Calculate the highest common factor of h and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*sqrt(70)\/sqrt(2)*-3)\/((-6*sqrt(125)\/sqrt(5))\/sqrt(5)*2).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 + 214*f\/3 - 340.\nAnswer: -2*(f - 102)*(f - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, u: 18}. Give prob of sequence uuu.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 6. Calculate the remainder when 29 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42572 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -15.00742945 and -26.\nAnswer: -41.00742945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - v**2 - v. Let q(s) = -2*s**4 - 11*s**3 + 11*s**2 + 16*s. Let g(o) = -22*p(o) - 2*q(o). What is the second derivative of g(r) wrt r?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -305082, -304901, -304720?\n\"Answer: 181*s - 305263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 884160848 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4440*d**3*i**4 + 70*d**3*i**2 - 153*d**3*i - 2*d**2*i**2 + 171*d*i**4 - 2*i**2 - 1 wrt i.\nAnswer: -106560*d**3*i + 4104*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 - 0.44. Let r = 0.6 - -4.4. Which is the third biggest value? (a) r (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2410 - -681. Let u = r - -6953\/4. Calculate the common denominator of 93\/10 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + (sqrt(162) - ((sqrt(162) - sqrt(162)*-1)*3 + sqrt(162) + sqrt(162))))\/((sqrt(225) - (sqrt(225) + sqrt(225)*-1)) + -1*sqrt(144)).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b. Let r(o) be the third derivative of 3091*o**4\/24 + 3*o**2 - 272*o - 6. Calculate r(v(d)).\nAnswer: 21637*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4080)\/2720 + 1 + (-22)\/4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**5\/3 - 427*z**4\/3 - 181*z**3 + 319*z**2\/3 + 539*z\/3 + 36 = 0.\nAnswer: -1, -1\/4, 1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -311014334 (base 5) to base 16\nAnswer: -13549c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7161 and 213466?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2337*c = -3265*c - 5677*c + 700130 for c.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**10)\/((o*o**7)\/o)*o**(-10)*o*o*(o\/o**(2\/23)*o)\/o)**30)**(-37) assuming o is positive.\nAnswer: o**(589410\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 54, 91, 128, 165, 202?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 + 17*x - 17. Let z = 3 + 2. Let r(f) = 93*f - 2*f**2 - f**2 - 18 - 179*f + 104*f. Let d(i) = z*r(i) - 6*s(i). Factor d(w).\nAnswer: 3*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310320512 (base 6) in base 3?\nAnswer: 101001112210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.6 + 71580266.\nAnswer: 71580272.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -458 - -593. Calculate the remainder when s is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6) + -1)*-3. Suppose -f - 2 = -p. What is the highest common divisor of 21 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 319 + 307 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4175, -7534, -10885, -14222, -17539, -20830?\n\"Answer: f**3 - 2*f**2 - 3360*f - 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2336*c**3*n**3 + 2211*c**3 + 1294*c**2 - 2647*n**4 wrt n.\nAnswer: 7008*c**3*n**2 - 10588*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/9 (b) -32 (c) -0.4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48 + 2*p**4 - 48 + 9*p**3 + (3*p**2 - 5*p**2 + p**2)*(2 - 2 - 3*p**2) to w*p**3 + o*p**4 + l*p + f + u*p**2 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 8.04. Let f = 0.26 - b. Let d = -30038 - -30013. What is the biggest value in f, -0.3, -2, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 4621463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**3*p*q - 2*j**3*p - 759*j**3*t + j**2*p*t - 11*j**2*q*t - 4*j**2 - j*p*q - 13*p*q wrt t.\nAnswer: -759*j**3 + j**2*p - 11*j**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1088) - (2*(sqrt(1088) - (1 + sqrt(1088))) - sqrt(1088))) + (sqrt(1088) + 1 - sqrt(1088))*-4)**2 - -1*(0 + sqrt(1088))*1) + 0.\nAnswer: -56*sqrt(17) + 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -26405.917 to the nearest 100.\nAnswer: -26400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(-2*sqrt(486)))\/((sqrt(8)\/sqrt(2) - sqrt(4))*-5 + sqrt(36)*1).\nAnswer: -sqrt(11)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 3019*o = -3024*o + 9, -4*o = 3*r - 32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*c**2 + 53*c**2 - 108*c**2.\nAnswer: -342*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021092 to five decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-57)\/(-20)*(-4)\/(-90). Let v = d - -1\/25. Which is the third smallest value? (a) 3\/7 (b) -3\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 - 5\/6*2*-36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + 79. Let a = y + -126.9. Is 0.086 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -25 - ((-42 - -20) + 17)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 5*a + 3*a)*(51 + a**2 + 60 - 105) - 3*a**3 + 3*a**3 - a**3.\nAnswer: -4*a**3 - 18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1288 and 828?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 14 - 25 = -107. Sort 5, 6, 1, f, -5 in descending order.\nAnswer: 6, 5, 1, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139 + 143. Put 5, -12, m, -2 in increasing order.\nAnswer: -12, -2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 <= 25.781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h - 1 - 5*h)*(-h**2 + 3*h**2 + h**2).\nAnswer: -24*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**3\/6 - 8*b**2 + 10*b. What is the derivative of v(w) wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -16.08. Let l = g + 1.12. Which is the second biggest value? (a) 2\/17 (b) -2\/9 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331)*3 + -4.\nAnswer: -4 + 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5707*d**4 + 5779*d**4 + 4*d**3 - 2*d**3)*(0 - 1 - 1) + 2*d**4 - 1 + 1.\nAnswer: -142*d**4 - 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**3\/6 - 19*s**2. Let n(m) = -m - 7. Let g(r) = 3*k(r) - n(r). Let h be g(-9). Is h bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 5*s + s)*(-9*s**3 + 9*s**3 + 4*s**4) + 0*s + 0*s - 2*s**5 + 1365 - 239*s**5 - 1365.\nAnswer: -249*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3297, 23239, 77359, 182745, 356485, 615667, 977379?\nAnswer: 1458709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2469, -4923, -7387, -9867, -12369, -14899, -17463, -20067?\nAnswer: -22717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000202399 to seven dps.\nAnswer: 0.0000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -330, -324, -318?\n\"Answer: 6*o - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4664321\/478 + -9758. Which is greater: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 - -74. Let p = a + 13. What is the third biggest value in 1\/3, p, 2\/3, -0.02?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -200233?\nAnswer: 200312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-2\/3)\/v))**(-9\/8))**19\/((v**(1\/3))**(1\/12))**(3\/13) assuming v is positive.\nAnswer: v**(-8893\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 495504 and 992?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42500 and 2380?\nAnswer: 297500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 12:51 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 3, -1\/18, -1, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 3*k**2 - k**2)*(233*k**3 - 155*k**3 + 1012*k**3).\nAnswer: 2180*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2781*f**3 + 3289*f**2 wrt f.\nAnswer: 16686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 65\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1936, 8180, 18624, 33298, 52232, 75456, 103000, 134894?\n\"Answer: 5*b**3 + 2070*b**2 - b - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -207, -1, -22, 8, -8 in decreasing order.\nAnswer: 8, 0, -1, -8, -22, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 625 + -301. Let n = l - 297. Is n bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(51)*1)\/((sqrt(9)*1)\/sqrt(3)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194, 208, 234, 278, 346?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 969134.5 to the nearest one thousand.\nAnswer: 969000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + p - 2. Let i be x(-3). Suppose 0 = 4*k + 2*u + 4, 0 = 5*u + i + 6. Suppose k*o = o. Solve 2*z + 1 + 9 = o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 333\/365 + 21\/73. What is the biggest value in 8, d, 0.07?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120786397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**3 + 11*f**2 + 9*f - 2. Let x(v) = 17*v**3 + 27*v**2 + 22*v - 6. Give -12*h(y) + 5*x(y).\nAnswer: y**3 + 3*y**2 + 2*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 2*d - 2*o + 63, -3*o = d + 14 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -8. Suppose -g - 2*t - 8 = 2*t, -c*g = 4*t. Let m = -129 + 135. Solve -18 = -g*w - m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 15*t**2 - 302*t + 1505. Calculate g(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4120 (base 5) in base 13?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2210 (base 3) to base 2\nAnswer: 1001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 33. Determine k, given that -2*k**3 - k**4 + 5*k**5 - 4*k**5 + j*k**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 921 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from {i: 2, d: 18}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, t: 1, a: 2, s: 1}. What is prob of sequence ll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b + 36. Let v be q(8). Suppose v = 2*i - 0. Suppose -2*f = -2*y + 36, 4*y + i*f - 24 = 2*y. What is the remainder when 38 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-2*k + k + 2*k)*(-4 + 1 + 4) - 922*k + 1127*k - 3229*k.\nAnswer: -3023*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*d**2 - 137*d - 20611?\nAnswer: -46*d - 137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31.5 + -31. What is the fourth biggest value in s, 9, -0.1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3*(-10 - 21\/(-3)). Let j(q) = q - 1. Let g(t) = 2*t - 3. Let n(b) = -g(b) + 3*j(b). What is n(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8670 + 507827.308.\nAnswer: 516497.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Let s(u) = 3*u - 5. Let m(y) = -y + 3. Let k(r) = -5*m(r) - 2*s(r). Determine k(n(l)).\nAnswer: l - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 + 2*o**3 + o**3)*(-1 - 4 + 3) - 10*o**2 - 28*o**2 - 264*o**3 + 36*o**2.\nAnswer: -268*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1131)\/580*4\/6 and 7\/34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147846 divided by 246\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73.8 + -75. Let b = 1.2 + -0.2. Let y = q + b. What is the third biggest value in 4, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 6:53 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 5 - (-9 - -5)) + (-14 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3*1*186. Let a = x - -184. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/9*(-15)\/(-10)*8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18.1 or -57?\nAnswer: 18.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -7*i**6\/60 - 11*i**3\/3 - 6*i**2. What is the first derivative of m(r) wrt r?\nAnswer: -42*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77241.091 rounded to the nearest ten?\nAnswer: 77240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105054 - -105056. Determine a so that 2\/3*a**5 - 2*a + 4\/3*a**2 + 4\/3*a**3 + 2\/3 - b*a**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1243 - 1137) + (-98 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/6 - 2469*x**2 + 98506*x - 561412\/3.\nAnswer: (x - 14774)*(x - 38)*(x - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqvvvvmmv. Give prob of sequence vmv.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.23 - -0.39. Round x to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -569, -1136, -1705, -2276?\n\"Answer: -w**2 - 564*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 - -120. Sort -0.4, -0.1, t in decreasing order.\nAnswer: t, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 + 982224*m**3 + 4911045*m**2.\nAnswer: 3*m**2*(m + 5)*(m + 327403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 77*(-9 + 512\/56). Solve v + 7 = -4*w, -5*v + 3*w - l = -w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 13*u. Let g(q) = -q**3 + 6*q**2 + 3*q - 7. Let a be g(6). What are the prime factors of p(a)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/70 - 174114\/428001. Let j = b - -10\/89. Is j at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, z: 4, s: 4}. Give prob of sequence skkk.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27239\/5740 less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 48*s + 12. Is 27 a factor of f(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1161, 2262, 3357, 4446?\nAnswer: 5529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k - 54 = 0. Suppose -47*m = -54*m + 2520. Suppose -m = -b - 14*b. What is the lowest common multiple of k and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 2 - -2)\/1. Let k = 3 - c. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -62, -1, 112, 295, 566?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3588 and 211?\nAnswer: 3377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 61571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4\/5, 2\/3, -0.09, -3, 708 in descending order.\nAnswer: 708, 4, 2\/3, -0.09, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjkjjkjjjjjwjk. What is prob of picking 2 j?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -723, -730, -745, -768?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6 = 3*a, 12*m = 9*m. Solve 5*s + 18 + a = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 380049?\nAnswer: -380049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -321, -6, -38, -3 in descending order.\nAnswer: -3, -6, -38, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 9:24 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**3 + 2*n**3 - 444 - 3*n + 411 + (-2 + 2 - 2*n)*(3*n**2 - n**2 - 3*n**2) - 6*n + 6*n - 6*n**3 in the form x*n**3 + d*n + s*n**2 + b and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -81688.3 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/28? (a) -3\/7 (b) -0.2 (c) 0.1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1269*x + 120 = -1267*x. Solve -m + 11*m - x = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.7603414 seconds?\nAnswer: 760341400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -745, -6171, -21141, -50515, -99153?\nAnswer: -171915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/9 - 8\/(-3). Suppose 0*t + d + 2 = -t, -x*t = 3*d + 8. Let f(o) = o**2 - 3*o + 2. Let y be f(t). Solve -18 = -z + 3*c, y = 3*z - c - 16 + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40933210153.6 - -96?\nAnswer: -40933210057.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 837502*t**3 - 4549393*t**2.\nAnswer: 5025012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 4, 42, 1, -15, -4 in descending order.\nAnswer: 42, 22, 4, 1, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/54)\/(61\/183).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-2 + (-1 - -2))) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**4\/8 - 1029*j**3\/8 + 14292*j**2 - 1116753*j\/2 + 3616644 = 0?\nAnswer: 8, 86, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32626432 to the power of 1\/3, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72619?\nAnswer: 101, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*z + 97*q - 94 = 130*z + 124*z, -5*z + 5*q = 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4671 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: Suppose 4662 + 3500 = 7*w. List the prime factors of w.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*d + 4*d**3 + 1465*d**2 - 1462*d**2 + 55*d**3 as t*d + s*d**2 + h + o*d**3 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(76) + -5 - (4 + sqrt(76) + -3))**2.\nAnswer: 120*sqrt(19) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 347466 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7\/(m\/(m\/(m**16*m))))\/(m**(-2\/7)\/m)**(22\/5) assuming m is positive.\nAnswer: m**(-152\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -290, -469, -670?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*((-35)\/(-21))\/((-9)\/27). Put -1, 551, a in descending order.\nAnswer: 551, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -0.3, -6, 51\/7, -0.5, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9904, 39636, 89190, 158566, 247764?\n\"Answer: 9911*j**2 - j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2610 divided by 6\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpo when three letters picked without replacement from ozzvwpl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -49 (b) -64 (c) 18 (d) 1.2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7971 and 1.0393278.\nAnswer: -7969.9606722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 4:19 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p - 36 = -31*p. Calculate the least common multiple of p and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 666990 and 889320?\nAnswer: 2667960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 646 and 39076?\nAnswer: 12621548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1520 or 1\/2?\nAnswer: -1520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 15. Suppose 0 = -0*p - 5*p + 10. Solve 0 = p*f + w*f - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54) + sqrt(1350)*-1 - sqrt(54))\/(sqrt(3) - -5*(sqrt(3) - sqrt(3)*-1)))**2.\nAnswer: 450\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 19224, -17 in descending order.\nAnswer: 19224, 2, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = q, 2 = 4*o + 3*q - 3. List the prime factors of (-11790)\/(-210) - o\/(-7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 2*r**2 + 4*r + (1 - 1 + 2*r)*(-2*r - 2*r + 6*r) - 4*r - 2*r**2 + 4*r - r**2 + r - r + r**2 - 7*r + 7*r)*(-7 + 75 + 137).\nAnswer: 820*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**7\/30 - 5*r**4\/24 + 7*r**2. What is the second derivative of p(y) wrt y?\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -76, -59, -18, 59, 184?\n\"Answer: 2*c**3 + 3*c - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 226125367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 426.0291 litres in millilitres?\nAnswer: 426029.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50\/(-114) + (-1)\/(-3). Let j be (20 - (-1968)\/(-120))\/(6\/5). Which is the smallest value? (a) -1\/2 (b) u (c) j (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000031874 to seven decimal places.\nAnswer: 0.0000319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00340005 rounded to 5 dps?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257 = -6*d + 151. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17549 is divided by 73.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -197.3 times 152\nAnswer: -29989.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k**2 + 12*k - 5. Let w(a) = -14*a**2 - 18*a + 8. Determine -8*c(f) - 5*w(f).\nAnswer: -2*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**2 - 20025*u + 14266530 = 0.\nAnswer: 927, 3078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 3. Give o(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -12*t - 558. Let l be n(-61). Solve -5 = -l*c + 173*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154835.56 rounded to the nearest one thousand?\nAnswer: 155000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*t + 21, t - 4*t - 6 = c. Suppose -c*r + 53 = -241. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -102*v - 4383. Let a be r(-43). Let c(u) be the first derivative of 0*u**2 - 23\/3*u**a - 19*u - 28. Find the first derivative of c(b) wrt b.\nAnswer: -46*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6850547 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m - 3. Let l = 4 + 2. Is b(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*v + 5*j, -3*v = -v + j - 17. Solve -v*s = -2*s + 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 138 = -4*f, 5*h + 26 - 1 = 0. Which is smaller: 0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + ((-7)\/(-21) - (-4)\/(-3)). Solve 3*u + 2*u + 15 = d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -358594, -358474, -358150, -357520, -356482, -354934, -352774?\n\"Answer: 17*b**3 + b - 358612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r - 23. Let i be j(7). Let t(b) = 2*b + 4. Let a be t(i). Suppose 311 = 4*k - a*k - h, -5*k + h = -390. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28, -50, -72?\n\"Answer: -22*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.072 + -0.002. Which is the second smallest value? (a) -2 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 9:09 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 860774?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-6))\/(5404\/579)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 64*u - 27*u - 42*u)*(3*u + 0*u + 3*u).\nAnswer: -30*u**2 - 36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2468*a - 2465*a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2220)\/50*(-2)\/(-8) and (-15)\/6*84\/(-25)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 20*d**2 + 28*d + 153. Let b be u(-21). Find the third derivative of 6*l - 8*l**4 - b*l + 1 + 0*l**3 - 32*l**2 + 3*l**3 - 26*l**4 wrt l.\nAnswer: -816*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 != -379\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -881657 - -0.0238?\nAnswer: -881656.9762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -12*y + 62. Let k be w(5). Which is the nearest to 1? (a) -3 (b) 0.3 (c) k (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*(-3 - (-4068)\/(-5)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 1\/21*i**3 - 4\/7*i**2 - 20\/7*i + 13. Factor h(u).\nAnswer: (u - 10)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 - 13*i - 4. Give o(7).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 - 59*f**2 - 32*f - 73. Let t be b(-29). What is the greatest common divisor of 3591 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 10:52 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -0.012927237.\nAnswer: -0.012927237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5718 - -28584\/5. Which is the smallest value? (a) -0.18 (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 754130.4l in millilitres?\nAnswer: 754130400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 5 + 7 = 0. Suppose -h + 146 = -3*k, 0*h + 3*h - 466 = q*k. List the prime factors of h.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*m - 7, -2 = -3*d + 4*m + 29. Solve -v + d = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 8) to base 11.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 26. Let i be g(-27). Is 3\/(161\/77 - (i + 3)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -2*m + 4, -5*y - 13 = -5*m + m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) 0 (c) 33 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 537 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdss when four letters picked without replacement from sdsdmddm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millimeter in micrometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11090603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3\/6 - 92*t**2\/3 + 1331*t\/6 - 191 = 0. Calculate t.\nAnswer: -191, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2326.\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)*i*i)**(-2\/9)*(i**(-2)\/i)**(-25\/7)*(i**(-6\/11)\/i*i**(2\/21))\/(i*i**(-1\/2)*i*i)**9 assuming i is positive.\nAnswer: i**(-57499\/4158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 7) to base 6.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1598 and 6698?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 3 - -4 - 2. Which is greater: 2\/25 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/12, 1\/128, -1.9, 5 in decreasing order.\nAnswer: 5, 1\/128, -7\/12, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68227\/505 or 136?\nAnswer: 68227\/505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8790816, 17581629, 26372442?\nAnswer: 35163255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -5. Let b = v + -0.8. Is -4 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15653501.\nAnswer: 23, 680587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -347901 * -0.26\nAnswer: 90454.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - z**2 - 4*z - 3. Let g be w(-2). Let d(x) be the third derivative of x**5\/30 - 13*x**4\/24 + x**3\/6 + x**2. Is d(g) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**8\/56 - s**5\/4 - 6*s**2. Find the third derivative of k(p) wrt p.\nAnswer: -360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 31\/4 - (19\/20 - 2728\/(-3410)).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 15*t - 24 = 0. Sort 4, 11, t.\nAnswer: t, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1086 - 1135. Let u be -51*1*2\/3. Let p = u - n. Solve 2*y - 7*y - p = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3620891 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -224\/5 + 45. Let w = 4 + -7. Let m = 7 + w. What is the nearest to 2\/7 in 2\/5, m, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - i + 1. Determine a(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 441 + 2*k**3 - k**2 + 244 - 820 - 2*k in the form t*k + d*k**2 + o*k**3 + l and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i - 5*i**2 + 4*i**2 - 3 - 2*i + 8*i. Let c(r) = r**3 - 7*r**2 + 2. Let w be c(7). Suppose -w*l + 2 + 2 = 0. Give p(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/25))**21*(t*t**(-21)\/t*t)\/((t**(10\/9)\/t)\/t))**(-5\/12) assuming t is positive.\nAnswer: t**(2339\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-x + 0*x - 3*x)*(-4*x + 4*x + 2*x)*(-13*x + 9 - 9).\nAnswer: -208*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1919 = 5*s + 54. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2364.2 rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/120242 and 143\/108.\nAnswer: 6493068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3996 + 0.4041. Let r = 0.3 - 1.3. Let n = h - r. What is n rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17723, -71107, -160085, -284657, -444823?\n\"Answer: -17797*r**2 + 7*r + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 + 4 - 4 + (15 - 5*v - 15)*(2*v + 0*v - v) + 2*v**2 - 7*v**2 + 3*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103 + 105. Let q(c) = 9 - 13*c**r + 1 - 10. Let b(g) = 8*g. Give b(q(f)).\nAnswer: -104*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**4\/12 + 7*x**3\/6 - 4*x**2 + 40*x. What is u(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -376 - -107. Let h = 260 + n. What is the nearest to 0 in -1, -8, 2, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 11:31 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33564 is divided by 16769.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -12 - 6. Let r(c) = -3*c + 30. Let w be r(9). Solve -5*t + 2*t = -p, 24 = -w*z + 3*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -8, -1, 8?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (5 + -11 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126 by 6.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14 - (-32)\/14. Let l be (-24)\/(-10) + (-22)\/55. Is l smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -52590*n + 53273671. Give x(1013).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + m + 0*m + 2)*(-2*m**2 - m**2 + 0*m**2 - 6*m**2 + 2*m**2 + 2*m**2 + m**2 - m**2 - 2*m**2 + (-m + m**2 + m)*(1 + 3 - 3))*(-2*m**2 + 4*m**2 - m**2).\nAnswer: -6*m**5 - 12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4 - 4 - 16685*t**2 + 16646*t**2. Let l(x) = 4*x**2. Give l(n(i)).\nAnswer: 6084*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (5 - (-30 + 16)) + -50?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 - 7*m**2 + 5*m + 10. What is o(-2)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.5389 hours in minutes?\nAnswer: 9812.334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*(c**(-1)*c)\/c)\/((c\/(c\/(c*c*c**4))*c)\/c))\/(c**(5\/6)\/((c*c*c**(-1\/5))\/c)))**(4\/23))**(-1\/2) assuming c is positive.\nAnswer: c**(181\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28730, -28420, -27904, -27182, -26254?\n\"Answer: 103*m**2 + m - 28834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 94, 184, 260, 316, 346, 344?\n\"Answer: -m**3 - m**2 + 100*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*r = 43 - 225. Solve j - r*h = -6*h - 2, 0 = 4*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 0*w**2 - 1\/40*w**5 + 0 + 1\/12*w**4 - 1\/12*w**3 - w. What is d in o(d) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37594566 is divided by 423.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 39*a**2 - 3 - 18*a**2 - a**4 - 6*a**2 to the form o + t*a**4 + u*a**2 + l*a**3 + m*a and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 204 + -177. Let d be (-1346)\/2110 + p\/180*4. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1033326526?\nAnswer: 2, 41, 12601543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/132148 and 73\/346.\nAnswer: 22861604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -81 (b) 6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) 0 (c) 3\/236 (d) -19 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 11. Let x(o) = -o**3 + 7*o**2 + 6*o + 3. Let v be x(8). Let q be s(v). Solve -f - 10 = -5*u, q*u + 5*f = 36 - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56.0967 - 0.0967. Let k = 74 - 73. Which is smaller: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/((sqrt(5) + sqrt(5)*3)*3))**2.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**4\/24 - v**3\/6 + v**2\/4 + 6*v. Solve n(q) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -14\/5*w**2 + 0 - 6\/5*w - 8\/5*w**3 = 0.\nAnswer: -1, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-7 + -13)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -2. Let t be 0 + h - -1 - 0. Suppose 0 = 2*l + 5*b + 14, -b + t - 4 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -4975, -0.4, 11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*m - 89*m + 32*m - 88*m)*(-1 + 1 + 4*m**3).\nAnswer: -520*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n**3 + 8*n**2 + 7*n - 11. Determine t(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1534 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18580695*l**2 - 18580693*l**2 + 37161378*l**2.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019676796 rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 greater than 782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38224 and 187696.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -13*r**2 + 177624*r - 1420157. Calculate p(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -5, -2, -173, -1, 25 in increasing order.\nAnswer: -173, -5, -3, -2, -1, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/q**(3\/8))\/((q\/(q*q*q**(3\/4)\/q))\/q))**(-21) assuming q is positive.\nAnswer: q**(-735\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v - 37*v - 99*v + 735. Solve -v*o - 2 = -c, -3*o + 33*c + 9 = 29*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18183649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*u + 55*u = 55*u - 70*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 785 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31300 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 34 + 5*t - 14*t + 5*t + 5*t.\nAnswer: t + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3*1)\/((-816)\/5818624). What is p rounded to the nearest one hundred?\nAnswer: 21400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -2, 0.3, -5007?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + -6. Let u = -3 + y. Let a = -24 - u. Let q(x) = -x**3 - x**2 - x - 1. Determine q(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1.85, 0.4, -4, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20391, 20461, 20531?\n\"Answer: 70*z + 20321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 163370*b**2 - 7667345*b.\nAnswer: -5*b*(b - 32627)*(b - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 53*v - 185. Let b be x(-12). Solve -b*o - 6 = -306*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -632830 rounded to the nearest 10000?\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 11) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114 - 117. Let q be 2 + -7 + 21 + g + 1. Calculate the highest common factor of 91 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) + (-60)\/(-16). Let w(p) = -6*p**3 - 2*p**2 + 1. Let v be w(-1). Sort t, 0, v.\nAnswer: 0, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -12*d**3\/5 + 326*d**2 + 1916*d\/5 + 274\/5 = 0.\nAnswer: -1, -1\/6, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 113334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182364?\nAnswer: 2, 3, 7, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -23. Suppose 2*r - 3 - b = 0. Calculate the remainder when 11 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 16*m**4 + 19948*m**3 + 576432*m**2 - 3477820*m + 3407600 = 0?\nAnswer: -1217, -35, 5\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 33, 480, 1819, 4536, 9117, 16048, 25815, 38904?\n\"Answer: 81*d**3 - 40*d**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 16.7. What is the third biggest value in 1\/2, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4006 - 2707 - 268 - 2213 + 1354)*(5*h**3 - 4*h**3 + 0*h**3) to x*h + t + y*h**3 + o*h**2 and give y.\nAnswer: -7840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -211*z**2 - 151*z**2 + 448*z**2 - 1 + (-4 + 3 - 1)*(0*z**2 - 3*z**2 + 2*z**2) to f*z**2 + w + h*z and give f.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**4\/12 - 5*i**3\/6 + 7*i**2\/2 + 2*i. Let n be (-180)\/(-40) + (-1)\/(-2). List the prime factors of k(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8090?\nAnswer: 2, 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29, 19, -53, -217, -503?\n\"Answer: -5*v**3 - v**2 + 28*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 142\/11?\nAnswer: 142\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96513, -771948, -2605249, -6175344, -12061161, -20841628, -33095673, -49402224?\nAnswer: -70340209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2473278*n**2*s**2*y**3 - 12*n**2*y**3 + n*s*y**3 - 3*n*s*y - 2*n*y + 2*s**2*y**2 - s**2*y + 14*s**2 + 51*y**2 wrt n?\nAnswer: -4946556*s**2*y**3 - 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 49208750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1005 and -119\/1206.\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**5\/12 + 515*w**2 - 2. Let m(a) = -46*a**2. Give m(t(c)).\nAnswer: -1150*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*a + 65*a - 48816 = 0. List the prime factors of a.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(63) + sqrt(63)))\/(sqrt(27)\/sqrt(27)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*((sqrt(22)\/sqrt(2) + 4 + sqrt(11))**2 + sqrt(11) - sqrt(11)) - ((sqrt(99) + (-4*(sqrt(99)*2 - sqrt(99)) - sqrt(99)))\/(sqrt(144)*-2))**2.\nAnswer: 80*sqrt(11) + 1189\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1488 = 4*p - 4*x, 0 = -41*p + 38*p - 3*x - 1122. Let w = 377 + p. Put 7, -2, -5, w in descending order.\nAnswer: 7, w, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 497016 and 82128?\nAnswer: 28826928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.24? (a) 1\/9 (b) -14\/5 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(95) + (sqrt(95)*-3 - sqrt(95))*5 - sqrt(95))*5)\/(sqrt(2880) + (3*sqrt(2880) + sqrt(2880))*-3).\nAnswer: 25*sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 16*z - 26. Let i be x(-15). What is the hundreds digit of (-30)\/12*8*i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 8*h + 39)*(h - 3*h + 4*h)*(2 - 2 - 2*h)*(-1 + 6 - 2).\nAnswer: -96*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109886879 greater than 1109886881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((-2)\/(20\/5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 5179, 822 in decreasing order.\nAnswer: 5179, 822, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a decade in months?\nAnswer: 1104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -1*0*2\/6. Find the second derivative of 27*y**t + 71*y - 37*y**3 + 28*y**3 wrt y.\nAnswer: 108*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1868265?\nAnswer: 3, 5, 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -29*j**2 + 1188*j + 6715. Give a(46).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.2 (b) 0.26 (c) 27 (d) 446\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 14*d**2 + 3*d + 16. Let t(b) = -18*b**2 - 3*b - 18. Let y(c) = -10*n(c) - 9*t(c). Calculate y(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -4. Let t be (-2)\/5 + 40\/(-25) + f. Suppose -t*z + 38 = -4*z. Which is greater: -20 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 6 = 3*m. Let i be -4*-1*m\/(-4). Let a(w) = 2*w**3 - 2*w**2 + w - 1. What is the units digit of a(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(296\/(-144) - -2). Solve o - 14 = -h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18620 and 2200?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 u when three letters picked without replacement from {i: 2, z: 2, g: 1, j: 2, u: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2077502891?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*v = 0, 26*u = 24*u + 3*v - 4. Solve 7*y + 2*k = 4*y - 9, -5*k + 12 = -u*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20972*b**2 + 12*b**3 - 20972*b**2.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**9\/q*q\/(q**(4\/5)*q*q) assuming q is positive.\nAnswer: q**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 2. Let w be i(12). Which is smaller: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.3635224 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2) + -2 + -3. Let n be q\/(-2)*2\/20. What is the second biggest value in -0.3, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -1.117?\nAnswer: 19.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-80 + 142 - 78)*(233*p**3 - 233*p**3 + 13 + 2*p**4) in the form i*p + b*p**2 + s*p**4 + v*p**3 + r and give s.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -6. Let a be -6*1\/(-2) - b. Suppose 46 = 5*k + 2*w - 10, -6 = a*w. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 5*d**2 - 2*d + 8. Let r(p) = 10*p + 2. Let b be r(1). What is the remainder when z(4) is divided by (18\/(-8))\/((-3)\/b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 - 3*h. Let a be d(1). Let g(q) = -6*q**2 - 6. Let r(y) = 6*y**2 + 7. Calculate a*r(u) - 7*g(u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0.4. Let m = 23 + -25. Which is the smallest value? (a) m (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 336*h**2. Let z(f) = f**2 + 8*f - 1. Let t(y) = -8*y + 1. Let r(a) = 2*t(a) + 2*z(a). What is r(p(x))?\nAnswer: 225792*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-72)\/20)\/((-9)\/30). Let z be (g + -9)*5\/3. Suppose j - z = -0*j. Solve j*o + 6 = -d, 2*o = -0*o - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 935607319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.896 + 0.104. What is the closest to -1\/5 in 0.5, -2\/3, 3, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(75) + sqrt(75))**2*2 + sqrt(75))*2.\nAnswer: 90*sqrt(3) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 11, 10, 1.3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 49911, -5, -7533?\nAnswer: -7533","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(3*sqrt(24)\/sqrt(3)))**2 + 3 + sqrt(38)\/sqrt(2) + -2.\nAnswer: 28\/9 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 2*f**2 - 4*f + 2. Let a = 14 + -12. Calculate t(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7 + 34 - 9 - t. Is c(0) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (4\/(-18) - 76\/(-18))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from kpkpp.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from lhxkwhhwlwhohwx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**5\/300 + j**4\/3 + 69*j**2. Factor h(b).\nAnswer: -b*(b - 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + -1*42\/(-2). Let z = 0 + 4. What is the greatest common divisor of z and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070 a factor of 2073490940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l**2 + 0 - 18 - 6*l**3 + 4*l - 5*l + 10*l**2 to the form b*l**3 + a + i*l**2 + s*l and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5965272 and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43.52 - 44.02. What is the second smallest value in -0.3, 2\/5, i, 392?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*l - 20*l + 280 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -12740 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1085124*-0.06\nAnswer: -0.006510744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -46392 times -1.35\nAnswer: 62629.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t - 33 = 0. Let z = -7 - t. Suppose 3*j - 4*b - 10 = -2, b + 2 = -4*j. Put -1, z, j in ascending order.\nAnswer: -1, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5962?\nAnswer: 2, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - 11)*454\/4. Let o be 2\/(-9) + p\/(-18). Let n = 31 - o. Solve -7*c - n = -2*c + 3*f, 3*c - 4*f = 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11764 and 612.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*k**2*o - 11*k**2 - 7*k - 7*o wrt o?\nAnswer: -13*k**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 2\/23 (c) 9 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37960 and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 9 + 29*v**2 - 11.\nAnswer: 29*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 26*x**2 - 2 - 10*x**2 + 11*x - 18*x**2. Let b be i(4). Suppose 0 = 5*j - 0*j, 0 = -w - 2*j + 80. What is the highest common divisor of w and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2619 and -19\/2522?\nAnswer: 68094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 52, 37, 16, -11, -44?\n\"Answer: -3*j**2 - 6*j + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 8:12 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 38*h**3 - 8*h**2 + 109*h - 157. Let i(g) = 24*g**3 - 5*g**2 + 73*g - 104. Give 8*i(n) - 5*x(n).\nAnswer: 2*n**3 + 39*n - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*y + 20 + 6, -80 = -5*o - 5*y. Suppose 3*k - g - 1390 = 0, 945 = -o*k + 13*k + 3*g. Is 31 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oosso. What is prob of picking 2 o?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -74, 0.5, 11836?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2158 - 100009 = -13*l. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101110001 (base 2) in base 15?\nAnswer: -3db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usu when three letters picked without replacement from {s: 2, k: 4, a: 2, u: 3, r: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - ((-7 - -3) + 6)) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2976.2169 + 8\nAnswer: 2984.2169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) -2\/7 (c) -10 (d) -991 (e) 2\/5 (f) -3\/5 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -641 - -601.3. Let k = -40.875 - s. Round k to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 626917 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039 plus 79.246?\nAnswer: 79.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24779.117 - 24778. Round z to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*x - 4, -5*o + 82 = 4*x + 30. Suppose 0*a + 5*a - 15 = 0. Solve -s = -a*s - x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 6) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4\/7 - 204*w**3 - 36414*w**2 = 0.\nAnswer: -357, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.5673755 * -5.\nAnswer: 102.8368775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18416984 - -18416983.68999916. Let r = -0.31 - k. What is r rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299141, 1196606, 2692383, 4786472, 7478873?\nAnswer: 10769586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*p + 2550 = 205*p for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*q + 14, 3*k + 2 = q + 1. What is the common denominator of (8\/(-144))\/(2\/88) and ((-6)\/18)\/(q\/(-51))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiciivmv. What is prob of picking 1 v, 1 c, and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 2101034143?\nAnswer: 2101034142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*t + 4*t + t)*(9 - 9 - 3*t**2)*(0 - 20 + 3) in the form q*t**3 + i + m*t + g*t**2 and give q.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - q + 1. Let r(m) = -2*m**3 - 4*m**2 + 3*m - 4. Calculate -6*f(t) - 2*r(t).\nAnswer: -2*t**3 + 8*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (50625\/(-40))\/(-3) - 4\/(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-22) + 4320\/(-44352)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s**3 + 3 - 3 + s - 2*s**2 as z*s**3 + q*s**2 + v*s + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814679207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 12*a + 8. Let h be f(11). Let x = 6 - 117. Let g = x - -115. Sort 2, h, 1\/10, g in descending order.\nAnswer: g, 2, 1\/10, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 9 + 6. Is 12\/q*24 - 3 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 7 - 9 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 2*d = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 970*d - 322*d = 123*d - 695*d - 50020 for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 + 0.01. Let p = -5.6 + 5.1. What is the nearest to v in -2\/5, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a - 1. Determine h(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*r, -2*n - 5*r = -7*n + 45. Let p(o) = o**3 - 2*o**2 - 5*o - 9. Let x(c) = c**3 - c**2 - 4*c - 8. Let f(j) = n*p(j) - 6*x(j). What is f(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -1 + 2 + -3 + -59 + 36 + 72.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82\/7 + 39\/14. Let m(s) be the first derivative of 1\/3*s**6 - 15 - x*s**2 + 0*s**3 + 0*s**5 + 0*s + 0*s**4. What is the second derivative of m(w) wrt w?\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4332 and 92370153?\nAnswer: 369480612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-48)\/126*(-3)\/(-2). Let l = 0.06 + -2.06. Let v = -15.7 - -16. What is the closest to -1\/2 in i, l, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from {f: 1, w: 3, t: 1, x: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 347155, 347169, 347183, 347197, 347211?\nAnswer: 347225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 652 - 648. Suppose -l*t - 2 = -10, 3*p - 3293 = -t. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/3, -1, -220, -2\/7, 6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u - 2 + 2. Suppose 322*c + 214*c = -1234*c - 921 + 9771. Suppose m + 2*i = -2*i + 4, -3*i = -m + 4. Let v(j) = -5*j. Give c*v(x) + m*b(x).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/165*6)\/(21\/35). What is the closest to 1 in -2\/13, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14020191 divided by -15.\nAnswer: -4673397\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/6)\/(51\/748). Solve -14*s + 17*s = -5*o - y, 4*s + 26 = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 16 + (12 - 40) + 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73620661 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 b(i) = 17*i. Determine b(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 51. Let s be 4 + (27\/18)\/(o\/(-4)). Solve 0 = -s*b + 2*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Suppose 4*g - p - 36 = c, -p + 4 = 3*g + 4*p. Let m = g - 3. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u + 62. Let k be h(9). Sort k, 12, 0 in descending order.\nAnswer: 12, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4236 divided by -1412\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**17*h)\/(h*h**(-1)))**(-5\/11) assuming h is positive.\nAnswer: h**(-90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116.934 - 0.066. Let r(a) = 4*a + 64. Let t be r(-17). What is the third biggest value in t, -0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -57.3. Let o = q + -4.8. Let y be 2 - (1 - (-1 + 1)). Which is the closest to -2? (a) -1\/5 (b) o (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 962707.6 grams in milligrams?\nAnswer: 962707600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22920231667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m. Suppose -3*u + 6 + m = 0. Solve 5*r + u = -8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -3771066?\nAnswer: 7\/1885533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v**4 + 2287545*v**3 + v + 52*v**2 - 2287547*v**3 - 10*v**2 to b + c*v**2 + m*v + g*v**4 + r*v**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8*i**3 - 13*i**2 - 22*i - 35. Let v be z(-17). Let r = v + 3289647\/77. What is the common denominator of r and -52\/77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -27.8514.\nAnswer: -13.8514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c*c*c**(-1\/6)*c*c*c*c)**0)**33)**(1\/77))**(-2\/9) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 - 724\/9. Let f = -16 - -109\/7. Which is the second biggest value? (a) f (b) x (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902897352 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 - 7720\/83. Let j be 2 - (1001\/415 + 0). Let p = j - x. Which is the third smallest value? (a) p (b) -3 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2564.0251 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 36. Suppose 2*i + 3*u = g + 3, -13 = 4*i - 5*u. Solve 0 = b + 4, i*s + 3*b = -2*b - 26 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1210 + 1228. Calculate the remainder when h is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098368617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.18 and 758.37803077.\nAnswer: 758.55803077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39493778 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ab1247 + 4?\nAnswer: -ab1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -66, -132, -168, -162, -102?\n\"Answer: 2*p**3 + 3*p**2 - 89*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Suppose -f + 1 = a. Let j(q) = -2*q**3 - 2*q - 1. List the prime factors of j(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k - 5*h - 8 = 0, -5*k = 5*h - 55. What is the remainder when 27 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -166 - 1650?\nAnswer: -2036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhpthppphhthtpt. Give prob of picking 2 h and 2 t.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(-14)\/4*(-120)\/1260.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5*(sqrt(1053) + 1 + 0 + sqrt(1053)) + -4)**2.\nAnswer: 2160*sqrt(13) + 105444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4ab + -17a65?\nAnswer: -18354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -539*i**2*j**3*y**3 + i**2*j**2*y**3 - 2*i**2*j*y**3 - 3*j**3*y**3 + 340*j**2*y**2 wrt j?\nAnswer: -3234*i**2*y**3 - 18*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 42\/4 + (-1)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 - 4*o**3 - o**3 + (2*o + 4 - 4)*(o**2 - o**2 - 5*o**2) + 0*o**3 + o**3 + 0*o**3.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 32927586*v**2.\nAnswer: -3*v**2*(v + 10975862)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 710 = -2*f. Is 1\/2 - f\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165501199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2141 is divided by 349.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 + 18?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 86 and -1.481?\nAnswer: 87.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9669*c**2 + 881*c + 899*c - 1780*c)*(-2*c + 4*c - c).\nAnswer: 9669*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 6*o - 3. Let p be a(-5). Let q = 28 + -20. Let c = q - p. Solve 0 = 4*x + 3*d + 7, -4*d = 5*x + c + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/3, 4, 164, -3\/14 in increasing order.\nAnswer: -0.4, -3\/14, 1\/3, 4, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * 2.3473.\nAnswer: 1.64311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-24) - (224\/(-12) - -3). Suppose 4*n + 4*q = 5*q + 11, 12 = -4*q. Suppose n*y = 76 + g. Is 23 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*s = -60*s. Let o be (-14)\/(-12)*8\/42. What is the biggest value in -1\/6, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duduehdunhhuh. Give prob of picking 1 h and 1 u.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*21\/(-1155))\/((-180)\/(-60))?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1647302 is divided by 287?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 8*y + 4. Let q be 0 + -9 + -1 + 2. Let r be j(q). Suppose 0 = -3*m - 3, -3*m = 2*o + r - 33. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100 - (56 - (-67 + 110)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -9 - -3 - 23.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u**2 - u - 1. Let w = 2 + -10. Let x = -9 - w. Calculate k(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7*x**2. Let k(h) = -14*h + 8. Let r = 69 + -54. Suppose -71 = 7*c - r. Let v(q) = 9*q - 5. Let t(p) = c*v(p) - 5*k(p). Calculate t(u(y)).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1176 (base 12) to base 3.\nAnswer: -2200200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3325\/317 >= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7*q + 362 = 2*b, -3*b + 276 = 3*q. Suppose -1134 = -19*t - q. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**3 - 1012*v**2 - 36346*v + 37360 = 0?\nAnswer: -467, -40, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12316?\nAnswer: 2, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/78)\/((-9)\/5 + 2).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-66)\/8 - 7\/(-28). Let t(v) = v**2 + 7*v + 4. Let m = -37 - -70. What is the remainder when m is divided by t(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 36 in decreasing order.\nAnswer: 36, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 6, 1, -4, -9, -14?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4477 to two dps.\nAnswer: 1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/629348658 and -16\/9.\nAnswer: 1888045974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*d + 15, 2*d - 3*d + 5 = -2*n. Suppose 3*a - 9 = -n*a. Suppose 0 = -a*i - 3*o + 306, -4*i - 2*o + 407 = o. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4 + 2 = -2*m, 5*m - a - 7 = 0. What is the closest to m in 0, 3\/5, -0.4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x - x**2 + 6 + 3*x**2 - 3*x**2 + 2*x. Let q be d(5). Let v(z) = -z**2 + 3*z + 3. Calculate v(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 640880\/44 + (51\/33 - (3 + -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -703 - 155*t + 703.\nAnswer: -155*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 282006930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**3\/3 + 1010*o**2\/3 - 4016*o\/3 + 1336 = 0.\nAnswer: 2, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3066 (base 7) to base 3\nAnswer: -1110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84218.\nAnswer: 2, 17, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 2\/(-2 - -3). Let o be 1 - -1 - (-1 + s). What is the third derivative of x**6 + 0*x**2 - 2*x**6 - o*x**2 wrt x?\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.5 (c) -6 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7595 and 26425?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-20)*(-188)\/(-329).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 t when two letters picked without replacement from {r: 1, t: 2, s: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**4\/7 + 3420*y**3\/7 - 76767*y**2\/7 - 87012*y\/7 + 22908 = 0.\nAnswer: -1162, -2, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1807 divided by -1.\nAnswer: -1807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 77*m**3 - 17*m**2 - 17*m - 75. Let d be a(-17). Round d to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.42782 + 0.02782. Put -0.11, -0.3, u, 1, -0.5 in increasing order.\nAnswer: -0.5, u, -0.3, -0.11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -24942?\nAnswer: -24942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 13*b**2 + 12*b + 3798. Give s(5).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by (-1104)\/(-30) + (-12)\/15 - 0?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -305, -1703, -4, 62 in decreasing order.\nAnswer: 62, -4, -305, -1703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 4602*b + 3807524.\nAnswer: -2*(b - 2947)*(b + 646)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 4:47 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 11 + 9 - 8*p to s*p + w and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63503 and 1771.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 391732.3 centuries to months.\nAnswer: 470078760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 13 = -1. Let j(r) = r - 4. Let g(d) = -762 + 2403 - 821 - 819. Calculate q*g(v) + j(v).\nAnswer: v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6134 + 6139. Put -823, 2, m, -1 in descending order.\nAnswer: m, 2, -1, -823","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) 6 (c) -3 (d) -5\/7 (e) 3 (f) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1993 or -1?\nAnswer: -1993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 3, 0, 321 in ascending order.\nAnswer: 0, 3, 4, 5, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37210614?\nAnswer: 2, 3, 7, 885967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*r + 8. Let j = 9 - r. 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: Is 320 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640 is divided by 49.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**3 - u**2 + u - 6. Let s(q) = -q**3 - q + 1. What is -c(h) - 6*s(h)?\nAnswer: 2*h**3 + h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5929 minus -4?\nAnswer: 5933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1050 is divided by 198?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 18*r**2 + 22. Determine s(-18).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -2, 3, -0.2, 2\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 73*z**2 + 12*z - 102 - 81*z + 18*z - 75*z**2 - 53*z = 0?\nAnswer: -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyl when three letters picked without replacement from tdklyyltddyttd?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3670.\nAnswer: 2, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.15 and -28.283?\nAnswer: 4.24245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -82. Let x = r - 39. Sort -5, 8, 5\/3, x.\nAnswer: -5, x, 5\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1678 + -12800?\nAnswer: -11122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - k = 6, 4*k = 96*f - 100*f - 24 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/63 + ((-4)\/27)\/(180\/270). Let w be 0\/(-15) - (-3)\/(-5). Which is the third biggest value? (a) v (b) -0.2 (c) w (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/186 and -83\/651?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)*-1*5 - ((5*(1 + sqrt(3)))**2 + -6*(1 + sqrt(3))).\nAnswer: -84*sqrt(3) - 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 39 = 12. Let r = 8 - a. Let n be (1\/(-3))\/(r\/(-2)). Sort 1\/5, n, -0.3 in increasing order.\nAnswer: n, -0.3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 7:59 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15137291.\nAnswer: 13, 83, 14029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/16)\/((-1)\/3). Which is the nearest to 1\/2? (a) 1 (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r - 2. Suppose -1 + 0 = m. What is the units digit of h(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 12 = -4*o, -3*o - 20 = -5*a - o. Let u(k) = -4 + 22 + k**3 + 12*k**a + 29*k + 13*k**2 - 9*k**2. Let j be u(-14). Solve j*p + 5 - 1 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7647)\/(-96862)*(4\/48)\/(2\/(-4))?\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ennjejpq. What is prob of sequence ejq?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-3944)\/68)\/(-58)*45\/(-1)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*w - 23*w - 9*w - 15*w)*(-2*w**4 - w**3 + w**3).\nAnswer: 128*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77.33 + 7653.\nAnswer: 7575.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.4745634 to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 0*p)*(-4 + 10 + 8)*(-2*p + 0*p + 5*p) - 39*p**2 + 22*p**2 - 20*p**2.\nAnswer: -79*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 60900 divided by -609\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 615 in -9459, 2\/3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138340245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -2*f**6\/15 + 2*f**4\/5 - 2*f**2\/5 + 15. Factor w(j).\nAnswer: -4*j*(j - 1)**2*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*q**2 + 12*q + 46*q**2 + 14*q.\nAnswer: -2*q**2 + 26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -85537460 divided by -4\nAnswer: 21384365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1779715 is divided by 94?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b = 101*w - 98*w - 34, b - 2*w = -11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294955.\nAnswer: 5, 58991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73190*w**6 - 2*w**4 - 2*w**3 - 5261271*w**2?\nAnswer: 8782800*w**3 - 48*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3876448246?\nAnswer: 2, 11, 277, 636109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 83621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6408347 greater than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268*(-8)\/(-2) - (-49 - -54).\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 6. Let n be (-6)\/3 + (4 - 7). Let q be g(n). Let j = 16 + q. Calculate the remainder when 12 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 7*o + 5. Let u be v(4). Let r(g) = g**2 + 5*g - 10. Let i be r(u). Let k = 12 + -10. Solve -i = -k*n + 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -10101?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 33. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 4*h**7\/7 + 5*h**3\/3 - 13. What is the third derivative of c(r) wrt r?\nAnswer: 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 6 - ((4 - 2) + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4665 - 1799. Let y = a - 28743\/10. Let s = 15 + -181\/9. Find the common denominator of y and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244240 (base 5) to base 2.\nAnswer: -10010001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-2 + 10 + -2) - (280 + -168 - 44).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -43, -90, -141, -196?\n\"Answer: -2*p**2 - 41*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68046?\nAnswer: 2, 3, 11, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 84456 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: What is the greatest common divisor of 34672 and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2499 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Let v(j) be the first derivative of -71*j**3 + j**2 + 2. Let f be v(h). What is f rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - ((-8 - (-7 - 6)) + 8)) + 23 + -42.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2996532 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -22*z - 9. Let a be y(-3). Let g = 59 - a. Suppose g*i - 8 = -0*k - k, -4*k + 8 = 2*i. Solve k*v + 4 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2. Let m(r) = -4*r - 1. Let s be m(-1). Suppose 0 = h - 4*a - 20, h - a = -s*h + 20. Let p(o) = 0 - h*o + 3*o + 3 + 2*o. Determine 2*p(c) + 2*x(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - 1) + 1 + 0. Let z(c) = c**2 + 5*c - 2. Let g be z(h). Suppose -3*k + 25 = 2*i, 0 = -g*i + 3*k - 4*k + 35. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -143836, -8\/177, 0.5?\nAnswer: -8\/177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 + (3 - 7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 2*m - 2. Let a be n(-2). Let v = -2 + a. What is the least common multiple of v and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 11. Let i be v(7). Let g = 96.5 - 96.3. Which is the nearest to 2? (a) g (b) -0.15 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28 - -6a?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742117691?\nAnswer: 7, 83, 182473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/5030 and -71\/20?\nAnswer: 10060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*n - 1158 + 234 = 0. Calculate the highest common divisor of 3630 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -65, -79, -93, -107, -121?\n\"Answer: -14*n - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-4)\/(-5))\/(140259\/(-13358))\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(4\/7))\/t**(-10) assuming t is positive.\nAnswer: t**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, x: 1, z: 3, m: 3, l: 1}. What is prob of sequence lzx?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g. Let p(h) = -h**2 - 6*h + 1. Let v(b) = -18*b**2 - 18*b + 3. Let f(x) = -6*p(x) + 2*v(x). Calculate f(k(t)).\nAnswer: -480*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**4 + 52*p**3 + 244*p**2 + 492*p + 360 = 0.\nAnswer: -5, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 11*h**2 + h + 16. Let r be d(-11). Suppose -r*w - 3 = -8*w. Calculate the least common multiple of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0\/(-3 - (-2 + -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -112. Let t = f - 50. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13101 divided by 2.\nAnswer: 13101\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 43*h**2 - 93*h + 3. What is d(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 1014 = 30*z - 394 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-6)*(-1)\/12*4*10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000169275439 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 + 11*m - 44. Let n(p) = -13*p**2 - 34*p + 155. Determine 2*n(u) + 7*t(u).\nAnswer: 2*u**2 + 9*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*z - 3. Let o be z\/(3\/12)*1. Sort 3, o, -5 in descending order.\nAnswer: 3, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3591*w**2 - 7167*w**2 + 3614*w**2 + w + 2*w**2 - 2*w**2 + 2*w**2 + (w - 2*w + 0*w)*(3*w - 5*w + 0*w).\nAnswer: 42*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 97250 and -5.91.\nAnswer: -574747.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*d - 4*g, -26*d + 25*d - 4*g - 10 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.605 - 0.205. Let x = 5.1 + -5. Let z = -0.3 - 0.7. What is the closest to j in x, z, -1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4*(-48)\/45.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -298137 less than or equal to -298137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12430, -49564, -111410, -197968?\nAnswer: -309238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/8 + 149767461*g\/2 - 7476764124795507\/2.\nAnswer: -3*(g - 99844974)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*i + 123765 + 231500. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -83, -153, -293, -527, -879, -1373?\nAnswer: -2033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 481, 1919, 4317, 7675, 11993, 17271, 23509?\nAnswer: 30707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 1 - 33 = 0. What is the derivative of -9*j**4 + 17 - 8 - u*j**4 wrt j?\nAnswer: -68*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15293 - 107047\/7. Factor -4\/7*j**2 + 8\/7 + s*j.\nAnswer: -4*(j - 2)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62368, 2, -4, -8 in increasing order.\nAnswer: -62368, -8, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-10 - -26) - 10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from drdfddddddrffrrfddd?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 5:48 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3538 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*f - 3*p, -2*f - 2*p + 2 = -6. Calculate the common denominator of ((-202)\/(-2727))\/(4\/150) and 73\/9 + (f - 5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 14 = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352416.\nAnswer: 2, 3, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 515969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 7*c + 6. Let j(g) = g - 1. What is -6*j(m) - z(m)?\nAnswer: m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3020 = -22*f. Let i = 213 - 90. Let h = i + f. What is h rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -8*y + 17026, -2*y - 2*p + 4262 = p. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 3. Let o be 46\/10 + (-24)\/40. Suppose -o*t - 45 = -t. Does 6 divide v(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316036, -316037, -316038, -316039?\nAnswer: -316040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 22*z. Let x be (-6)\/(-2) + -2 + 0. Let i be q(x). Calculate the highest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1\/6 (b) -1\/6 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.9 + 3270.1654.\nAnswer: 3280.0654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6223\/1072 + 1\/134. Calculate the common denominator of -11\/7 and s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089172053 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*k**3 - 559710*k**2 + 1038631347*k + 20997110940 = 0. Calculate k.\nAnswer: -20, 18707\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/819 and -139\/70.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -24990 rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 416489?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**29*f*f**25*f**(-30)\/f**(8\/7) assuming f is positive.\nAnswer: f**(174\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - -26) + 48 - (15 - -59)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 978760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 10, m: 4}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 55, -31047, -4\/7, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 5*m**2 + 5*m - 13. Let q be p(-12). Differentiate -935*t**3 - 42*t**4 + 29 - 9 + q*t**3 - 155*t**4 wrt t.\nAnswer: -788*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*r - 8, -x + 7 = 3*r - 3*x. Let c be r\/((-3)\/(6\/8)). Let q = -99 + 105. What is the second biggest value in c, -3, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1015 + 238*b**3 - 1015 - 25*b**3.\nAnswer: 213*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 64\/80*25\/2. Calculate the remainder when 90 is divided by y\/(-2)*272\/(-85).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11406335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*n - 56 = -8, 0 = 5*l - 4*n - 15. What is the lowest common multiple of (-3 - -2) + (l - -1) and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 136405\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14536781591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 3*v - 16. Let k be -1 - (-1)\/(5\/(-25)). Let x be l(k). Does 14 divide -5 + x + 2 - -113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9710 in -4, 2\/11, -188, -12?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -155 + 154.96. Sort -0.5, p, -5, -58\/3 in decreasing order.\nAnswer: p, -0.5, -5, -58\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l - 64. Suppose 2*x + 2 = -4*v + l, -2*v + 10 = 2*x. Differentiate -2*f**2 - f**2 + 8 + 5*f**v with respect to f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -25*s**4 - 5*s**3 + 39*s - 5. Let p(b) = 12*b**4 + 3*b**3 - 20*b + 3. Let u(x) = -5*p(x) - 3*v(x). Find the second derivative of u(k) wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbyb when four letters picked without replacement from bvtuybgbbbttb.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 293 - 2341\/8. Which is the closest to 9? (a) -2 (b) x (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71901054 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-192)*0)\/(3*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*a**4*i + 22*a**3*i**3 + 3673*i**3 with respect to a.\nAnswer: 40*a**3*i + 66*a**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 11*l**3 + 3*l**2 - 3*l. Let i(u) = 12*u**3 + 4*u**2 - 4*u. Let r be ((-18)\/(-10))\/3*5. Let a(d) = r*o(d) - 2*i(d). Does 9 divide a(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*i + 15*i + 31*i)*(-4 + 3 + 2) in the form s + d*i and give d.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*r + 3 = 0, -2*d + 0*r = -4*r - 44. What is the least common multiple of 18 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19513\/7 + 2788. What is the closest to -279 in -0.01, m, 2\/3, 0.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.23326 decades to years.\nAnswer: 2.3326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-525)\/(-10))\/7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + sqrt(2) + sqrt(2)*2 - (5 + -4 + sqrt(2))) + ((sqrt(72)*2 + sqrt(72))\/((sqrt(18) + sqrt(36)\/sqrt(2))\/sqrt(2)))**2.\nAnswer: 2*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72957*n - 72742*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-84 + 3 - 0) + (-52 - (39 + (16 - 99)))\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 303*t**3.\nAnswer: 303*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-8)\/(-2)*(-1)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1760200 divided by -352040.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 8*g = -8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 - 2189*m**2 - 7627*m + 10915. Determine n(-1091).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -19. Put -1, 2, i in descending order.\nAnswer: 2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.04721633 from 0.5.\nAnswer: 1.54721633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n - 1434 + 3*n**2 + 350 - 1206 + 27*n.\nAnswer: 3*n**2 - n - 2290","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, 2, 15, 1015?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/4 + 3\/(-12). Let i = g - 2. Let q(t) = 5*t**2 - t - 1. Let p be q(i). Solve -s - v + 4*v = -p, s + 2*v = 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 44 - 5 + 0 + 14*c + 0. Let u be i(-12). Let h = u + 189. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 1. Let j(r) be the first derivative of r**3\/3 - 2*r**2 + 3*r + 9. What is -j(m) + 4*p(m)?\nAnswer: -m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 2. Let l(m) = -2*m**2 + 47*m + 25. Let x be l(24). Let f(v) = v - 1. Let p(h) = x*u(h) + f(h). Calculate p(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 40 + 4 = 0. Suppose u + 1 + 1 = 0. Let g be u\/4 - x\/52. Which is the smallest value? (a) -0.4 (b) 2\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + h = 21 - 0, -2*h + 26 = 4*n. Suppose -n*y + r = -y - 17, -4*r + 16 = 0. Calculate the remainder when 20 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*n**2 + 45*n**2 - 20*n**2)*(-n - 4*n + 3*n).\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8405\/29943 or 1?\nAnswer: 8405\/29943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-1 - -3))\/(-1). Let z be (3\/(-18))\/(-33*(-30)\/4950). Put z, 2\/11, n in increasing order.\nAnswer: z, n, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/(16\/18201376). Let p = 2607379 + k. What is p rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 218375, 218379, 218385, 218393, 218403?\n\"Answer: p**2 + p + 218373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.46 = 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66929548 is divided by 101102.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -29*n. Let y(h) = h - 7. Let c(w) = w - 6. Let j(a) = -7*c(a) + 6*y(a). Calculate j(r(u)).\nAnswer: 29*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 330403 (base 5) in base 8?\nAnswer: 26131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 641 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2099935 is divided by 361?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -480.7 + 1165.7. Which is smaller: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8364 or 8365?\nAnswer: 8364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -141\/4*q - 3\/4*q**3 - 75\/4*q**2 - 69\/4.\nAnswer: -3*(q + 1)**2*(q + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2) + 1165*(-9)\/(-90). Determine g, given that 3*g**2 + v - 78*g - 38 + 22 + 43 = 0.\nAnswer: 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4571795 + -3?\nAnswer: -4571798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 12240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*a**4 - 7990*a**2 - 108*a + 2205 wrt a.\nAnswer: -540*a**2 - 15980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*h**3 + h - h**4 + 61*h**3 + 10 - 120*h**3 to o*h**3 + g*h + b*h**4 + p*h**2 + j and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (49679\/6209 - 8)*1. Let l = q + 881\/5322. Which is the third smallest value? (a) l (b) 1\/2 (c) 20.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*-2*2\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6114 or 6052?\nAnswer: 6052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d8f (base 16) to base 10.\nAnswer: 7567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 168*k + 704. Calculate o(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -84100447.85 to the nearest 1000.\nAnswer: -84100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.83 - 5.05. Let i = t - -3.22. What is the nearest to -4 in -2, -5, 1\/3, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 18*b**5\/5 + 21*b**2 - 35. What is the second derivative of r(d) wrt d?\nAnswer: 216*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -154*q - 7695. Let w be f(-50). Let i(c) = -5*c**3 - 6*c + 3. Let m(x) = -5*x**3 - 5*x + 2. What is w*i(a) - 6*m(a)?\nAnswer: 5*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 12 + 28. Suppose 0 = k*z - 9*z. Differentiate -5*x + 18 + z + 6 wrt x.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45658?\nAnswer: 2, 37, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 429 - 192. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1316283\nAnswer: 4\/1316283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 2 (c) -3\/5 (d) 344 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2241826g in tonnes?\nAnswer: 0.0000002241826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from kkpekpjpnrrjjkj?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110283.7l to millilitres.\nAnswer: 110283700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 739 - 702. Which is smaller: s or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 187 - 235. Let j = z + 51. Let x = 4.2 - -0.8. Which is the biggest value? (a) -0.2 (b) x (c) j (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -8, -343, 0.3, 0.5 in increasing order.\nAnswer: -343, -8, 0.3, 0.5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3488204 - 101?\nAnswer: -3488305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6800 and 408.\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*o + 9 + 19 + 26*o.\nAnswer: -132*o + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1 + 3*m + 4 + 3*m - m**2. Let q be 1\/(3 + (-34)\/12). What are the prime factors of v(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6225 at least -31252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(156))\/sqrt(6))\/(sqrt(2) + 1*sqrt(2)*-2).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -131919, -263889, -395907, -527973, -660087?\n\"Answer: -24*z**2 - 131898*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**5 - 3*v**4 + 9152338*v**3 + 19009*v**2 + v - 193 wrt v.\nAnswer: 60*v**2 - 72*v + 54914028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9212800 and 1000?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by -8 - (-12 - -22)\/(4\/(-34)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/7)\/d)\/d*d**(-3\/2)*d)\/(d**(-1\/5)\/d)**34 assuming d is positive.\nAnswer: d**(2711\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 483 and 1861321?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**2 - 472*y + 4476. Calculate s(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246271987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 2\/5, -2\/11, 1, 0.064?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3466, 14357, 32574, 58111, 90962, 131121, 178582?\nAnswer: 233339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**4\/40 - 3*x**3\/5 + 69*x**2\/20 - 26*x\/5 - 184. Factor b(i).\nAnswer: (i - 13)*(i - 4)*(i - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from nwykyynywkyhkkkkyk.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -571*s**6 - s**4 + 213*s**2 - s wrt s?\nAnswer: -68520*s**3 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 - 5*p + 5. Let d(y) = 2*y**2 + 4*y - 4. Let b = 12 - 18. Let f be (-14)\/3 + 15\/(-45). What is b*d(h) + f*q(h)?\nAnswer: -2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2 + -1 + -1 + 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f + 4 = 0. Suppose 2 = -f*r - 18. Is ((-6)\/r)\/(8\/20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62756531 is divided by 475.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 3\/82726, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 17*l - 1. Suppose 9*d + 12 = 6*d. Let j(r) = -16*r. Let v(c) = d*j(c) - 3*h(c). What is the derivative of v(y) wrt y?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.91 + 1.32. Let t = -1.273828 - -0.863905. Let q = b + t. What is q rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 28 + 32. Let s = -11 + a. Find the third derivative of -28*y**3 - 3*y**2 + 28*y**3 + 4*y**s wrt y.\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.9738 and 1768400?\nAnswer: 1768403.9738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11704\/(-1109790) - (-2)\/45\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57\/2 - -30. What is the second smallest value in 2, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by 309.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (9\/54*14)\/21\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 1. Let w(y) = -20*y - 22. Let x(v) = -44*r(v) - 2*w(v). Let q(n) = -138*n - 118*n + 406*n - 101*n. Calculate x(q(a)).\nAnswer: -196*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 104783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10697129621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*o + b, 3535*b - 35 = 9*o + 3537*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181817174 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: Which is the closest to -44? (a) -1 (b) 1\/4 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 3, l: 3, a: 1, u: 2, t: 2}. What is prob of picking 1 c and 1 k?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3499*z + 524703. Give k(150).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyzadbn. Give prob of picking 1 b and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2.1 (b) -1007 (c) -21\/214\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1034?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 5:29 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 2:22 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 628\/(-28) + -8*(-7)\/(-98).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21082 is divided by 114?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -222*z**2 + 1912*z - 2. What is the remainder when d(8) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 2 = -169*w + 167*w, -2*w + 7 = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 1 + 11. Let l be (176\/66)\/(2\/36). Let z be (d\/9)\/(2\/l). What is the highest common divisor of z and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -101031 (base 4) in base 14?\nAnswer: -589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(98) + (sqrt(2) - sqrt(12)\/(sqrt(6)*1))**2 - (sqrt(392) - sqrt(392)*1)\/(sqrt(4)*1*1).\nAnswer: -1 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v - 3. Let m(k) = -k - 1. Let y(x) = -2*g(x) + 7*m(x). Let t be y(-2). Suppose t*s = -5*i, 0 = -3*s + 3*i + 6. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4466 + 4482. Let l(h) be the third derivative of -1\/20*h**5 - 1\/24*h**4 + 0*h + t*h**2 + 0 + 1\/120*h**6 + 1\/2*h**3. Let l(w) = 0. Calculate w.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 3:33 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/55 and 134\/10*2\/16.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 41.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.2, 31, 3 in increasing order.\nAnswer: -0.4, -0.2, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -30. Let f(j) = j**3 - 8*j**2 + 9*j - 3. Calculate the smallest common multiple of p and f(7).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.97846 and -5.\nAnswer: -24.8923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 783594 + 291362 = -5*r, -2 = -u. What is r rounded to the nearest one thousand?\nAnswer: -215000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 2)*(4 + 7). Let c = 49 - m. Calculate the remainder when c is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 11) to base 12.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1549 - 1731180.\nAnswer: -1729631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -3c18bc33?\nAnswer: 3c18bc31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14538 + 18009. Is v smaller than 3471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36832000 rounded to the nearest 100000?\nAnswer: 36800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c + 8*c - 3*c + (0 + 0 - 2)*(-c - c + 4*c) to the form f + z*c and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(121)\/sqrt(11) + (sqrt(396) - -4*sqrt(396))**2.\nAnswer: sqrt(11) + 9896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 7\/(21\/(-18)). Find the second derivative of 16*q**z + 2*q + 14*q - 4*q wrt q.\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 5*w + 11. Let l be c(3). Let j(r) = 2*r**3 - 7*r**2 - 5*r - 5. Calculate the remainder when 175 is divided by j(l).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s - 41403 = 132*s - 39018 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 6:15 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1575555?\nAnswer: 3, 5, 105037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124 + 128. Sort 1\/7, q, 1\/2, -0.4.\nAnswer: -0.4, 1\/7, 1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6615589485?\nAnswer: 3, 5, 441039299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v**2 - 8*v + 99. What is d(5)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/((-2)\/(-25171)))\/((10 - -9) + -20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3*(2 - -4). Solve 4*x - c*g = 20, g = 4*x - 15 - 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 516 = -3*h, 11*h - 680 = 7*h - 4*b. What is the remainder when h is divided by 46?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57403*-18.\nAnswer: 1033254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v**3 + 8*v**2 - 7*v + 6. Let h(m) = 7*m**3 + 7*m**2 - 6*m + 5. Let d(z) = 7*h(z) - 6*s(z). Determine d(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.206 + 31.006. Let i = u + -32. Is i < 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*d = -5*d - 58, -2*f + 27 = d. Let b = 0 - -3. Find c, given that f*c**2 - 14*c**2 - b*c**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - 15*a**2 + 9*a + 11. Give h(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + ((-3)\/4 - 29229\/180). Let s = 160 + r. Is s at most as big as 2\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-74)*(-76)\/57. Which is the smallest value? (a) 1\/4 (b) i (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, h: 1, i: 2, w: 2, r: 1}. What is prob of picking 1 i, 1 h, and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 - ((0 - 3) + -1)) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, s: 2, d: 8, g: 1}. Give prob of picking 1 s, 1 g, and 2 d.\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*h + h - 3*h - h**3 wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -3. Let p = 35\/39 - 3\/13. Factor -x - 1\/3*x**z - p.\nAnswer: -(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvww when four letters picked without replacement from wvwwvwww?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3443*y**2 + 2478 - 3183 - 396 - 5843 with respect to y.\nAnswer: -6886*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-8 + 6) - 7\/35*5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4935737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iim when three letters picked without replacement from izziimimmmm?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x + 746*x**3 - 1486*x**3 + 742*x**3.\nAnswer: 2*x**3 - 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3 - 460018*u**2 - 920033*u - 460016 = 0 for u.\nAnswer: -460016, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*v - 15. Suppose -a - 25 = v*b + 4*a, -3*b - 4*a - 17 = 0. Let d = b + 3. Solve 2*n - c = -3*c + 4, -3*n - 5*c + 12 = d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4\/3)*f*((f*f\/f**(1\/6)*f)\/f)\/f*(f*f\/f**(-1\/2))**34 assuming f is positive.\nAnswer: f**(171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2 + 5*w + 4. Let k be l(-3). Let h = k - 27. Let c be (1 - 24\/3)*h. What is the highest common factor of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 167.569 - -0.431. Let p = j + -167.6. What is the closest to 0.3 in -2\/5, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 219?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 131. Suppose d = m + 2*m. What is the highest common divisor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 107*q - 12 = 3*r - r - 209*q + 105*q, -4*r = 2*q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-1)\/34)\/((-41)\/164))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1174202 + -23?\nAnswer: -1174225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.16, -0.01, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**3 + 5*v - 5. Let c(d) = 7*d - 6 + 4*d**3 + 4 - 5. What is -5*c(g) + 7*q(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*f, -5*t - f + 88 = 119 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 b when three letters picked without replacement from {z: 2, b: 4, c: 10}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/36)\/(33\/990)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25128?\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-7))\/(2\/(-14)). Suppose 3*t = -2*s + 53 + 97, 0 = 5*t + s - 243. What is the highest common divisor of t and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0005 + 0.06. What is j rounded to 3 dps?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5235, 10490, 15745?\nAnswer: 21000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, 0.3, -1 in descending order.\nAnswer: 6, 0.3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 3047*t + 3044*t + 18, -5*v = -4*t - 21 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (896\/(-96))\/((-7)\/((-105)\/50)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 10*z - 24. Let u be -53 - 15\/((-75)\/40). Let d(n) = 5*n**2 + 226*n + 33. Let x be d(u). What is o(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8) - ((-272)\/64 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5776 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -161\/60*x**5 + 41*x + 0 + 99\/2*x**3 - 5*x**2 + 0*x**4. Differentiate o(n) wrt n.\nAnswer: -322*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39848 + -39847.2. Which is the fifth smallest value? (a) -1\/6 (b) -6 (c) p (d) -3\/5 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179 = 2*j + 40*j + 31 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108342202 a multiple of 1450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/90369 and 119\/80328.\nAnswer: 722952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 683809 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*n**3 - 112\/3*n**2 - 158*n - 120 = 0. Calculate n.\nAnswer: -3, -1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 700 divided by -175.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 + -5 + (-3 - 4)\/(-56)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/s**(-1\/8))\/s**27)\/(((s\/s**(-13\/2))\/s)\/s**(-3\/8)))**40 assuming s is positive.\nAnswer: s**(-1270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llzllwlzlzxllxqlezll. Give prob of picking 1 z and 1 w.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hehuhzhz. Give prob of picking 2 u and 1 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31447 is divided by 15718?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -12 - (-6 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*5089.49.\nAnswer: 173042.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**2 + 1057*w + 955*w - 1955*w - 3 to n*w + c*w**2 + j and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5960432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 - 101.3. Sort 0.06, -10, p in increasing order.\nAnswer: -10, p, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2094389 and 111\/80168.\nAnswer: 16755112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -435, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/((-21)\/2)*-3. Solve 5*r - q*u - 3 = 0, -6*r + u = -4*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 - 323 + 2*z**3 + 328.\nAnswer: z**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 1\/33*w**6 - 2\/11*w - 4\/33*w**3 - 3\/11*w**2 - 4 + 1\/11*w**4 + 6\/55*w**5. Factor m(d).\nAnswer: 2*(d - 1)*(d + 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4281668, 8563337, 12845006?\nAnswer: 17126675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 + 30*w - 61\/2.\nAnswer: (w - 1)*(w + 61)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-210)\/(-49) + -4)*49. Suppose n - 44 = -2*p. Calculate the remainder when 132 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 56*v**2 + 2*v - 5. Suppose 3*p - 5*p - 2 = -3*f, p - 3*f = -4. Is j(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(52))\/sqrt(4) - -1*sqrt(65)\/sqrt(5).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 1, -5*b + i + 677 = -937. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 9*v - 11. Give r(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*a - 21 - 194 = 0. Solve 0 = -3*f + 5*o - 4, -o = a*f - 2 - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**5\/5 - 34*p**4\/5 - 277*p**3\/5 + 824*p**2\/5 + 9728*p\/5 - 2048 = 0.\nAnswer: -16, -8, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1592.05 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63495, 65208, 66921, 68634?\nAnswer: 70347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + 134?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 9*q**3 + 5*q**2 - 3*q + 3. Let f(i) = 17*i**3 + 9*i**2 - 5*i + 4. Calculate -3*f(c) + 5*p(c).\nAnswer: -6*c**3 - 2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3*(-1)\/(-5)*-7)\/((-1)\/1295). What is j rounded to the nearest 100?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33020 divided by 4.\nAnswer: -8255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/70*-115)\/((-27)\/(-54)) - 3*3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 6*z**2 + 7*z - 8. Suppose 2*n + 2*d - d + 27 = 0, 0 = 2*n - 5*d + 9. Let u be (-87)\/n - (-3)\/(-12). Let h be a(u). Which is smaller: h or -7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 27\/7 (b) -5\/62 (c) -0.4 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 229, 3, -5\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 625375.\nAnswer: 625375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 - 13*z**2 + 85*z - 38. List the prime factors of f(26).\nAnswer: 2, 3, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85007687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**4\/12 + 2*t**3\/3 + 433*t. Let r(k) = 5*k**2 - 2*k + 2. Let q be r(1). Determine d(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 - -137\/2. Let k = 2 + 0. Put k, 5, d in descending order.\nAnswer: 5, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4398631*b**6 + 12986766*b**2 wrt b?\nAnswer: -527835720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zss when three letters picked without replacement from {s: 5, z: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/2))**17*((t*t**(2\/25))\/t)\/t**(-4\/5))\/(t**(-2\/5)*(t*t\/((t*t**(-4))\/t)*t)\/t)**1 assuming t is positive.\nAnswer: t**(-661\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l. Let o(x) = 920*x**2 - 5*x + 20. Let a(n) = -922*n**2 + 6*n - 24. Let t(v) = 5*a(v) + 6*o(v). What is t(z(i))?\nAnswer: 910*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -53. Let f(g) = g**2 - 21*g - 43. Let w be f(s). Calculate the greatest common divisor of w and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 251031 - 251710.206. Let x = l - -645.2. Let r = x - -34. What is r rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 16735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83)\/((-15604)\/141)*(-800)\/12.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**4\/4 - 1309788*v**3 + 1715544604944*v**2 = 0.\nAnswer: 0, 2619576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 542527 and -0.3?\nAnswer: 542527.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 61 = -19*z + 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 3) + -2 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (10 + -8) - -17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + -0.3. Suppose -73 + 201 = 4*u. Let v = 28 - u. What is the biggest value in m, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*1 - (12 + (-4 - 4)). Suppose 0 = 3*n - 3*a - 6, -2*n = n - 2*a - 7. What is the nearest to i in 0.2, 0, 2, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*(-36)\/(-42)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 plus -0.116063052568?\nAnswer: -303.116063052568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 222 - 215. Let x(j) = -20*j - 21*j + t + 38*j. Give x(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**5 - 9*p**4 - 3*p**3 + 9*p**2 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00655159007 to four decimal places.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o + 1. Let d(s) = -13*s + 9. Let y(l) = 3*l - 2. Let p(k) = 2*d(k) + 9*y(k). Calculate -2*i(q) - 5*p(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/9)*d**0*(d*d\/d**(-1\/2)*d)\/d**0)**46)**22 assuming d is positive.\nAnswer: d**(29854\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 19325.8.\nAnswer: -19325.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5835389 to the nearest integer?\nAnswer: 2416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27, -449, -1033, -1731, -2549, -3493, -4569, -5783?\n\"Answer: -u**3 - 48*u**2 - 325*u + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12317184 divided by -18\nAnswer: 684288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoxohx. Give prob of picking 2 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 3, -1 in increasing order.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (0 + 0)*1. Let m be -1 - -2 - (d + 6). Calculate the smallest common multiple of 22 and 32\/(-6)*(m - -1).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-15) - 26\/10. Let q(n) = -5*n**3 + 2*n**2 - 4. Let r(d) = 4*d**3 - d**2 + 3. Let m(z) = s*q(z) - 4*r(z). Suppose m(u) = 0. Calculate u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1900))*5 - (sqrt(1900) + (sqrt(1900) - (sqrt(1900) + 1))*2)**2) + 3.\nAnswer: -1896 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 7. Let f be ((-26)\/(-5))\/((-7)\/(-35)). Suppose 4*w = 2*w - f. Let o = 18 + w. Determine s(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131 + -131 + (1 - 2) + 6 - 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*w + 20. Suppose -7*m + 90 = -2*m. What is the remainder when 12\/w*(-110)\/(-4) is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**7\/70 + w**6\/10 - 3*w**5\/10 + w**4\/2 - w**3\/2 + 8*w**2. What is o in t(o) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*l**3 - 41 + 2*l**2 + 28 - 2*l**3 + l**2 - 4*l**2 in the form r*l + w*l**2 + u*l**3 + n and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.596*-20.162.\nAnswer: -12.016552","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + 1*sqrt(95))*2*2)\/((sqrt(1800) + sqrt(1800)*2)\/sqrt(10)).\nAnswer: 4*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 11*k = -15. Let t = -4 + 7. Let g(n) = t*n**2 - 2*n**2 - k*n**2. Let j(z) = -4*z. Give j(g(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 9*m**2 - 14*m - 20. Calculate the remainder when d(-8) is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -7. Suppose 11*v = -4*v + 150. What is the least common multiple of x and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000100010111000 (base 2) to base 9\nAnswer: -162816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147 - -150. Suppose -j - 2*j - 4*m = y, -2 = 2*j + 3*m. Sort j, 7\/30, -5 in ascending order.\nAnswer: -5, j, 7\/30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/17, -3147, 0.2, 3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.7531148 to two dps.\nAnswer: -26.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, -5, -3856 in descending order.\nAnswer: 67, -5, -3856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-201))\/(4\/6*(-324)\/216)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yeeweyy. What is prob of picking 1 y, 1 e, and 1 w?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*p**3 - 108*p**3 - 600*p**3 - 75*p**3.\nAnswer: -905*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/70 - ((-2)\/14)\/((-3)\/195).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**4 + 123*l**3 + 1320*l**2 + 1200*l = 0.\nAnswer: -20, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 56*s - 52*s. Let a be s + -1 + 1 - -19. Let z = a + -17. Let r(c) = -2*c**2. Determine r(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151 - -61. Let p = -94 - w. Put -3, -5, -16, p in decreasing order.\nAnswer: -3, p, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247472327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 13*i = 6*i. Factor -109*m**3 + 18*m + i + 0 + 22*m + 16*m**2 + 107*m**3.\nAnswer: -2*m*(m - 10)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270120451.51 rounded to the nearest one thousand?\nAnswer: 270120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 5*u + 31*u - 174 = 708 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23405 (base 6) in base 12?\nAnswer: 1b65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 w when three letters picked without replacement from {l: 2, r: 7, w: 2, p: 4, b: 5}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -573 - -237. Let w = -278 - r. Calculate the remainder when 167 is divided by w.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 0, 2\/3, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x + h = 14700, 0 = -5*x + 2*h + 36750. What is the greatest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1524669 - -0.2?\nAnswer: -1524668.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/5))**(-9\/8)\/(g**8*g*g*g*(g**12\/g)\/g*g) assuming g is positive.\nAnswer: g**(-211\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**2 + 41*z**2 + z**2 in the form w*z + j + k*z**2 and give k.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (11 + 169 - 37) + (-1 - 22).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.461902 to two decimal places.\nAnswer: 1.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djjjddjhhjjjjjjjjj. Give prob of sequence hd.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l + 76. Let b = 9 - l. Does 16 divide (-280)\/42*144\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7285363 and 526.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14236*q = -2*b - 14241*q + 40, -2*q + 17 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*7*(-1)\/3*(-54)\/(-6120)*68.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 1)*2\/2. Suppose 5*b - 30 - 35 = c. Let g = -31 + 44. What is the highest common divisor of g and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 228370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 443537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 111 (b) -7 (c) 0.5 (d) 2\/5 (e) -2\/5 (f) -583 (g) -27\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -159, -2681, -9559, -22971, -45095, -78109?\n\"Answer: -363*c**3 + 19*c + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1065 is divided by 154.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*u - 396*u - 421*u - 1073*u - 140*u.\nAnswer: -2201*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3)*(3 - 6*a - 3) + (0*a + 0*a - a)*(1 + 0 - 3) - a + 0 + 0 + 1 - 1 - 2*a.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*h = -0*h + 81, 4*v - 5*h - 358 = 0. What are the prime factors of v?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111215 and 1006967.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**4 - 4*h**3 + 2*h**2 + 3*h + 1. Let r(c) = c**4 - c**3 + c**2. Suppose -2*g + 3 = 7. Let t(n) = g*d(n) + 2*r(n). Factor t(x).\nAnswer: 2*(x - 1)*(x + 1)**2*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305, 609, 915, 1223, 1533, 1845?\nAnswer: 2159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**3 + 2*a**2 - 13*a + 3. Let n(d) = 3*d**3 + 3*d**2 - 12*d + 3. Let x(m) = -5*n(m) + 4*u(m). Is 9 a factor of x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**2 - 63*q - 15. Let p be j(13). Suppose 9*r - 3301 + p = 0. What is the highest common divisor of r and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 160442 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - p**2 - p - 4. What is the tens digit of s(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -263 - -312. What is the remainder when z is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23030111 - -10311?\nAnswer: 23101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4240594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 - 3 - (-302 + 293) - -82?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2035386919?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11012756 by -4.\nAnswer: -2753189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -3. Let s = 25 - o. Let i = -13 + s. Put 0, -2\/7, i in ascending order.\nAnswer: -2\/7, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*r - 87*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1635542 + -1635533.799705. Let p = 0.79 - -7.41. Let s = q - p. Round s to five dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*u + 168, 4*m - 3*u + 257 + 77 = 0. Let y be (8 - 4)\/(-1) - m. Let x be y\/(-8)*(-32)\/12. Calculate the highest common divisor of x and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 11\/10, 1\/7, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaqvmmqmmmb. What is prob of sequence ma?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198788, 198790, 198792, 198794, 198796, 198798?\nAnswer: 198800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00038511098 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94 and 498553769.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*q + 45 = u, 0 = -2*u + q + 5. Solve 2 - 7 = u*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60457232 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001597452 rounded to six dps?\nAnswer: 0.001597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17840\/(-89200)*(-9)\/(81\/(-170))?\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17432 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2572.8567 months in centuries?\nAnswer: 2.14404725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 1019*y - 1997. What is w(3)?\nAnswer: 1060","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5556945905?\nAnswer: 5, 7, 7927, 20029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 666 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*q + 75. Suppose -4 = 5*k + 5*z - 49, 0 = -4*k + z + q. Find the third derivative of 42*h**2 - 60*h**2 - 10*h**3 + k*h**3 - 10*h**3 wrt h.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**3 + 58*n**2 - 62*n + 663. What is i(18)?\nAnswer: -4989","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -8.75666?\nAnswer: -8.75666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 11 = -5685*k + 5687*k, 5*v - 11 = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.48491 minus -1.8?\nAnswer: 0.31509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 9250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 287*d**3*o**3*q + 35*d**3*o*q + 4*d**3*q - 2816*d*q wrt o.\nAnswer: 861*d**3*o**2*q + 35*d**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -167, -283, -341, -335, -259?\n\"Answer: s**3 + 23*s**2 - 192*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6010272)\/(-261117) + 2\/(-114)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2 + h**2 + 0*h**2 - h**2 + h - h + (3*h - 2*h + 3*h)*(3*h + 0*h - 2*h) + (-5*h + 2*h + 2*h)*(0 - h + 0).\nAnswer: 5*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 53. Let o be (-2*(-21)\/4)\/((-26)\/(-260)). Let y = o - d. List the prime factors of y.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476*352.\nAnswer: 167552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4 + o**2 - o**3 - 5*o**3 + 0*o**2 - 3 - 6*o + 11*o**3. Give z(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 6 - 2*j)*(-2*j + 2*j + j).\nAnswer: -2*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ald when three letters picked without replacement from adal.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 11*g**2 - 27*g - 8. Give a(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2192877 times 0.059\nAnswer: -129379.743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*c**2)*(-19 - 34 - 29).\nAnswer: -164*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -348 < -554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 - 3)*(-24 + 24 - 9*o) + (-2 - 2 + 3)*(2*o + 4 - 4) + 4 - 4 - 2*o to l + n*o and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 8, -431 in descending order.\nAnswer: 8, -14, -431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -100*w**2 - 50*w + 95. Calculate t(2).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 0. Suppose -d*q + 65 = 2*q. What is the remainder when q is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30*((1 - -3) + 63\/(-18)). Solve 6*v = v + a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/(-84) - 8\/(-6)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*-1*2\/22. Factor -d*m - 2\/11*m**2 + 0.\nAnswer: -2*m*(m + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, s: 1, n: 6, d: 1, a: 1, h: 1}. Give prob of picking 1 d, 1 h, 1 n, and 1 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143059603 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481404.\nAnswer: 2, 3, 7, 11, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/8 + 3*h**3\/4 - 3*h**2\/2 + 5*h\/4 - 3\/8.\nAnswer: -(h - 3)*(h - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 8)*(5*w + 1 - 1) + (3 + 2 - 6)*(-4*w + 4*w - 3*w) - 4*w + 0*w + 2*w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + -2 + (5 - 1 - 7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -131 + -166 + 311 - (3 - 2 - -62).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*m + 4*m + 11*m - 3*m in the form n + r*m and give r.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000 (base 2) to base 11.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 1. Let d be 10\/14 - (-4)\/14. Let g(r) = 3*r + 4. Let h(a) = d*g(a) + 4*n(a). Let y(k) = 2*k**2. What is y(h(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-24)*4 + -3. Which is the nearest to -0.1? (a) -0.2 (b) -0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 888222704 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 185*p**3 - 80*p**2 + 175*p + 3441464.\nAnswer: 555*p**2 - 160*p + 175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a hour in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 63 = 43 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + (-5)\/5 - 1. Suppose 0 = -r*f + 15 + 3. Which is greater: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-60)\/(-36))\/((-3)\/(-9)). Let u = -409 + 405. Let b(p) = 2*p**2 + 4*p + 1. Let h(q) = 3*q**2 + 5*q + 1. What is m*b(a) + u*h(a)?\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 156919751 and 0.3.\nAnswer: 47075925.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 519421.02 rounded to the nearest ten thousand?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, c: 1, o: 8, e: 2, j: 2}. Give prob of sequence qeoe.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*n = 66*n - 204*n - 10339 - 11101 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/27 - (-224)\/(-252))*-3. Suppose g - 20 = -3*g - 3*n, 5*g - 4*n = -6. Let x = -3 + g. Sort -4, x, q.\nAnswer: -4, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 2*k - k + (2 - 2 + k)*(1 + 2 - 2) - 5 + k + 5 + 4*k - 3*k - 3*k - 2*k + 4*k + 0*k + (2*k - k + k)*(0 + 0 + 2) - 5*k + 2*k + 2*k + 0 - 2*k + 0.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.33 + 15. Let d = -4.97 + 4.3. Let y = d + p. What is the nearest to y in 0, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*(5 + 1 + sqrt(891)*-5 + 4) + 5)**2.\nAnswer: -4500*sqrt(11) + 89725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010011101000 (base 2) in base 7?\nAnswer: -54326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273289, -273295, -273307, -273325, -273349, -273379?\nAnswer: -273415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0915 + -0.0915. Is j greater than 1169.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 103 - 72 = 0. Let u be 0\/2 + 6 - 2. Suppose -3*t + 0*k = u*k - 16, k + 5 = 0. Calculate the remainder when h is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-13)\/(l**(-10)*l)*l*l**(-15)*l**13\/l assuming l is positive.\nAnswer: l**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Let c(p) = q + 2*p + 0. Let n(u) be the first derivative of -3*u**2\/2 - 55. Give c(n(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 17 = 2*q. Let b(f) = -8*f**2 - 7*f + 10. Let i(l) = 5*l - 2. Let c be i(-1). Let v(t) = 7*t**2 + 6*t - 9. Determine c*v(k) + q*b(k).\nAnswer: -k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - -1110110000000011010?\nAnswer: 1110110000000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*v - 157*v + 133644. Calculate the least common multiple of 592 and v.\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11001010101001111 (base 2) to base 15\nAnswer: -20b24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 674*i = 2255 + 16617 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -19*u + 82. Let l be a(4). Let b be 2\/(-5 + 3)*1. Put -3, -2, b, l in descending order.\nAnswer: l, b, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -160\/3 or -1\/12?\nAnswer: -160\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42056.\nAnswer: 2, 7, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1209 and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 + 34*q**3 - 21 - 37*q**3 - 41.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 17*w**3 + 8*w**2 - 107*w + 312. Let t(a) = 2*a**3 + a**2 - a + 1. Let j(x) = 8*t(x) - v(x). What is the derivative of j(i) wrt i?\nAnswer: -3*i**2 + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9165?\nAnswer: 3, 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/4 - 57987*v\/2 + 1120830723\/4.\nAnswer: 3*(v - 19329)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/13, 2\/29, -8, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 12 = -4*c, 11*c + 1813 = 2*p + 1828 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 3. Let f be l(-2). Suppose 0 = 5*k - f - 3. Let d be (8\/4)\/((-4)\/(-10)). Solve d*r = k*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -649*j - 2 - 1 - 2000*j - 1869*j + (2 + 2 - 3)*(j - 4 + 4).\nAnswer: -4517*j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1\/2, -1, 2\/9, -768 in descending order.\nAnswer: 2\/9, -1\/2, -1, -8, -768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4))**(-45\/4) assuming l is positive.\nAnswer: l**(-45\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -84, -83, -90, -111, -152, -219, -318, -455?\n\"Answer: -h**3 + 2*h**2 + 2*h - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31\/6 + -11\/6. Which is smaller: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 67 = -45. Let l = 86 + y. Calculate the highest common factor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*j**3 - 35*j**2 + 20.\nAnswer: -5*(j + 1)*(j + 2)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3575820.\nAnswer: 2, 3, 5, 61, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-13)\/(v**(2\/3)\/v*v)*v**(-7\/2)\/(v**4\/v*v) assuming v is positive.\nAnswer: v**(-127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.88 + -4. Let p be ((-4)\/14)\/(5 - (-40)\/(-10)). Is p > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.8 minus -327840?\nAnswer: 327987.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 8 + 11 - 45 - 1691*l + 6.\nAnswer: -1691*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 3, e: 5, q: 1, i: 3, s: 2}. Give prob of sequence ii.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3902 + 950 = -9*t. What is the remainder when t is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.122 + 0.022. Let d = -0.3 + 0.2. Let x be 6*(1 + (-6)\/8). What is the nearest to f in x, 3\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdsussunssssnudddud. Give prob of picking 2 d.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15764, -4, -3\/2, 2.7 in descending order.\nAnswer: 2.7, 0.15764, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*y - 13. Let i = 14 + -8. Let u = i + -7. Put y, u, 3 in descending order.\nAnswer: y, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8077, 9891, 12915, 17149, 22593, 29247?\n\"Answer: 605*a**2 - a + 7473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, u: 1, w: 1}. What is prob of sequence wu?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6531 is divided by 3254?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/171 and 71\/39073041.\nAnswer: 742387779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-12 - (-8 - -6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 169*o**2 - 1639073 + 419*o**2 + 0*o + 1639073.\nAnswer: 588*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - d + 1. Let o(g) = 3*g**3 + 6*g**2 - 3*g. Let j be o(-3). Let c be j\/99 + (-13)\/(-11). Let l(x) = 4*x**2 + 8*x - 7. Give c*l(z) + 6*a(z).\nAnswer: -2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 191668754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2464135*t**2 + 1010291*t**2 - 8 + 8.\nAnswer: 3474426*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103130132202 + -220?\nAnswer: -103130133022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -9 in decreasing order.\nAnswer: 5, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2890*r + 1470*r + 1411*r + 1. Let x be -2 + 3*10\/6. Determine u(x).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 819.27148 + 0.02852. What is q rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2318 = -361*j - 11761 for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45062400 and 197148000.\nAnswer: 1577184000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.7 (b) 2\/7 (c) -3\/112 (d) -1\/3 (e) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1779 (base 10) to base 15.\nAnswer: 7d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - -7. Solve -2*c = -5*c + 5*z + f, -2*c - 14 = 4*z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 2*y**3\/3 - 3*y**2\/2 - 2*y. Is d(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597842143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**3\/2 + 7182*h**2 + 60216669*h\/2 + 29575827945 = 0.\nAnswer: -6477, -1410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 94.0957 millennia?\nAnswer: 94095.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -44*l - 707. Determine b(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfssdsddassddsdsd. What is prob of picking 1 s, 1 a, and 1 f?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 564 - 3. Suppose 0*k - 3*k = -m. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.962 + -0.038. Let s = -0.4 + 0.9. What is the nearest to 0.1 in i, -2\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 272 + -62. Calculate the remainder when p is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 8\/33, 3, 467?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**4\/6 - m**3\/6 - m**2 - 101. Calculate h(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -461ccc - 43?\nAnswer: -462042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/13 in 5, 109, -0.3, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 + 1 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -156672*b**5 + 2*b**4 + b**2 + 457948*b?\nAnswer: -3133440*b**3 + 24*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i = -26*i + 30*i - 52*i. Let c(k) = -k**3 - 4*k**2 + k + 14. Give c(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 11468*d + 373. Is j(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -35192*u**3 - 32*u**2 - 35*u + 7. Let z be i(-7). Let x = z + -28189540. Round x to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.11 + -6.89. Let r = 21613 - 21613.1. What is the third biggest value in r, -2\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*d - 2*y + 6*y, -4*y = 5*d - 18. Is 10 a factor of (0 - -50)*(d + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 15, -5, -3\/4, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 6) to base 12.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.1. Suppose 4*d - 7*d - r + 22 = 0, 3*r - 30 = -3*d. Suppose j = -5*q + d - 20, -j = 2*q + 5. Which is the nearest to y? (a) 0 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36571\/6 + 6120. Calculate the common denominator of 4 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 1:53 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/12425 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -87966 and -3.\nAnswer: 263898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (221\/(-3757))\/(124\/(-2635)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 17 = 81. Suppose -12*c + 8*c = d. Which is smaller: 2\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 6*u**2 + 12*u - 31. Let k be 6 + ((-8)\/24)\/((-2)\/6). Let a be p(k). Solve -a*g = i - g - 10, -10 = 2*i - 4*g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -17. Let d = -9 + 3. What are the prime factors of d*15\/m - -3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1757 is divided by 778?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o - 3. Let g be k(3). Let b be (-3)\/g - 34\/40. Let d(p) = p**2 + 8*p - 10. Let a be d(-9). What is the nearest to a in b, 1, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5804, -5802, -5800, -5798?\nAnswer: -5796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/15*1\/(-6)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21, -43, -63, -81, -97?\n\"Answer: n**2 - 25*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4d67 (base 15) to base 10.\nAnswer: -16522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451884873?\nAnswer: 3, 11, 29, 472189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -1\/6*u**4 + 0 + 0*u + 2*u**2 + 1\/30*u**5 - 1\/2*u**3. What is the units digit of y(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 4*v + 4*v)*(-4 + 5 + 1 + (-3 + 1 + 1)*(-4 + 1 + 6))*(2 - 12 + 8)*(2 - 4 + 0).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094032 divided by 4?\nAnswer: 273508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.4 + -9. Let h = 0.37 + 0.03. Let m = h - k. Which is the nearest to m? (a) 1\/10 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1599*w + 1615*w + 1606*w - 4823*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 - 7*q**2 + 13*q + 4. Let t be x(-5). Let w(v) = -20*v + 24. Let s(d) = 4*d - 5. Give t*s(a) + 3*w(a).\nAnswer: -4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141233 (base 5) to base 15.\nAnswer: -1acd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 544*w - 1093. Let j be l(-2). Let p = 0 - 20. Sort 3\/8, p, j in decreasing order.\nAnswer: 3\/8, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c93 (base 14) in base 3?\nAnswer: 10101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 505515813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5066, 20288, 45668, 81206, 126902, 182756?\nAnswer: 248768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + j. Let b be k(2). Let n be 3\/6*(10 + b). Let w(h) = 2*h**3 - 3*h**2 + 2*h - 3. Let c be w(2). Put c, 0, n in decreasing order.\nAnswer: c, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 7 = 3*t. Suppose -4*n - 40 = -4*v, 3*n + 26 = 5*v - 22. Suppose 12*s - 27 = v. What is the greatest common divisor of s and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53100 to the nearest 1000.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/5 + 201461\/8340. Let k = o + -5\/834. Find the common denominator of 43\/2 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -0.3, 4 in ascending order.\nAnswer: -2, -0.3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5244765061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011011010000 - -100?\nAnswer: 10011011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 1 - i**3 + i**4 - 3 + (2*i**2 + 0 + 0)*(2*i**2 + 2*i**2 - 5*i**2) - 3*i**4 - 2*i**4 + 2*i**4 - 2*i**4 + 4*i**4 + 0*i**4.\nAnswer: -2*i**4 - i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**2 - 18*a + 22. Let l be (-13 + 18)*((-134)\/(-10) + 1). Let f(o) = -1. Give l*f(r) - 4*q(r).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373*j - 374*j + 9 = 0. Let f be 306\/j*(-3)\/(9\/3). What is the smallest value in -0.2, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l. Let g(m) = -2*m. Let j(n) = 5*g(n) + 4*w(n). Let y(p) be the third derivative of -p**5\/60 + 3*p**2. Determine j(y(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32, -53, -78, -113, -164, -237, -338?\n\"Answer: -o**3 + 4*o**2 - 26*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32\/40)\/((-4)\/10) + 9. Suppose 14*x = n*x - 784. Let q = x - -174. Calculate the remainder when q is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 371\/8 + -21457\/472. Is k at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41.91449 times 114\nAnswer: 4778.25186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30912499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -16 + -4 + (-3 - -14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 2*g + 6. Give n(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q - 7. Let g(s) = -3*s + 1. Let k(m) = m + 1. Let h(i) = g(i) + 2*k(i). Suppose 5*x + 6 = 3*x. Let v = x + -1. Determine v*b(o) - 10*h(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 0, 2*d + 755 = 5*o - d. Let m = o + -162. Is m > -49\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1609642311?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 - (23 + -15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21027965\/8 + -2635927. Let r = j + 7444. What is the common denominator of r and 21\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*n**3 + 0 + 94\/5*n**2 - 16\/5*n.\nAnswer: 2*n*(n + 8)*(6*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(14\/(-6) + 2). Suppose d*t = -2 + 14. Solve -t*j + 11 = -s - 5, 4*j = -3*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8352, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17795 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6878.980588 + 6879. Round c to 3 decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 581485850 divided by -34205050\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 1. Let j = h + 38. What is the highest common divisor of 132 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13376.115 + -13348. Let u = -0.115 + r. What is the third smallest value in u, 3, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16605845 is divided by 1928?\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 5*a**8\/336 - a**7\/21 - a**6\/24 + a**5\/6 + 16*a**2. Solve y(u) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.018 + 0.052. Let k = -0.0699962 + g. What is k rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 260 + -250. Suppose 5*k + 5*y = 3*y + h, 0 = -4*k - 3*y + 8. Sort k, 3, 14, -4 in descending order.\nAnswer: 14, 3, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 21, 1 in decreasing order.\nAnswer: 21, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7 - 175*c**4 - 28*c**2 - 44*c + 211*c**4 - 15 + 44*c**3.\nAnswer: 4*(c - 1)*(c + 1)**2*(9*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4\/2 - 3*r**3\/2 - 9*r**2 + 20*r = 0?\nAnswer: -4, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2129926, 4259846, 6389766, 8519686?\n\"Answer: 2129920*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 800 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -235 - -132. Let r = w + 107. Let v be (21\/7 - r)\/((-2)\/8). What is the greatest common divisor of 44 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, -141, -140, -139, -138?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*m + 23 = 0, 0*l - m = -2*l - 1. Is 2 + (l - 7) - -164 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 450*n**3\/13 - 930*n**2\/13 - 1162*n\/13 - 294\/13 = 0.\nAnswer: -7\/15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4816 + -4813.643. What is p rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295415?\nAnswer: 5, 59083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -45897.\nAnswer: 3\/15299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 4\/(-1) - (-1 + -12). Solve 6*t + k = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + ((sqrt(612) - (sqrt(612) + (-2*sqrt(612))**2)) + sqrt(612) + -4)*-4 + -3) + 5.\nAnswer: -58825 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 96 (c) 10399 (d) 108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*j + 186 + 39, -2*j + 172 = 4*i. What is the greatest common divisor of 20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + 12 + 6 + -24.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17\/51 - (-10967493)\/(-1890). Let w = f + 40610\/7. Calculate the common denominator of 25\/3 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 1)*1*1. Let y(a) = -a. Let k(p) = -5*p + 5. Let i(j) = 1. Let t(b) = 6*i(b) - k(b). Let g(x) = n*t(x) + 3*y(x). Differentiate g(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4311 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 + 2*d**2 + 1 + d**4 - d**2 - 2*d**2 to v*d**4 + b*d**2 + o*d + i*d**3 + g and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 153085, 153088, 153093, 153100, 153109, 153120, 153133?\n\"Answer: t**2 + 153084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 316635239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0\/j**0*(j*j\/(j*((j*j**(-13))\/j)\/j))\/j**(-3))**(-1\/23))**(-24) assuming j is positive.\nAnswer: j**(432\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 14) in base 4?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 - 4174*m - 12518. Give d(-3).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.65696 grams in kilograms?\nAnswer: 0.05565696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 34*l**2 - 3*l + 28. Let b be k(4). Suppose 3*m = -17*m + b. What is the smallest common multiple of 8 and m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 317*u - 160*u + 54 - 28 - 29 - 160*u. Let j(b) = 135*b**2. Calculate j(t(d)).\nAnswer: 1215*d**2 + 2430*d + 1215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21, -15, -75, -159?\n\"Answer: -12*i**2 + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z - 11. Let v(r) = r + 3. Suppose -k = 4, 5*x - 12 = -5*k - 2. Determine x*a(d) + 22*v(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4317 (base 9) to base 5\nAnswer: 100200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t + 4. Let a = t - 9. Let u(s) = -s**3 - 4*s**2 + 5*s - 5. Calculate u(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + x + 1. Let r(f) = f**3 + 11*f**2 + 8*f - 19. Let q be r(-10). Let o(l) = -18*l**2 - 9*l - 9. What is q*o(v) + 9*s(v)?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 11:56 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 429499 or 429497?\nAnswer: 429497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67 and 49781.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - a - a + a + 2*a - 2*a + (3 + 1 - 3)*(-1 + 1 + 2*a) + (2*a - 1 + 1)*(1 + 0 + 0).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5582527?\nAnswer: 5582527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (27 + -47 - 0) + 15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -2. Suppose n*x - g - g = 6, -3*x = 2*g + 6. Solve h + 4*v + 2 = x, 2*h - 4*h = -5*v + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 + 103.4. What is the second smallest value in -3, d, -0.7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12928 divided by -8?\nAnswer: 1616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 30 = 7*y. Suppose 0 = 2*j - y - 2. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -3*q - 16. Suppose -q*r - 15 = -3*t, 2*t + 4*r - 2*r = 10. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4749 (base 14) to base 11\nAnswer: 9365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 48\/5 of a decade?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.076 and -1.4.\nAnswer: -1.476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110110220 + -21?\nAnswer: -1110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 2*b**2 + 2*b - 4. Let x(m) = 5*m**3 + 25*m**2 + 7*m - 8. Let d(n) = -r(n) - x(n). Let d(a) = 0. What is a?\nAnswer: -4, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 508 and 14.\nAnswer: 3556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 + 23*w**2 - 23*w**2.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260928 is divided by 733.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.62 + 0.08. Let x = 1736 + -1734.3022. Let i = y - x. Round i to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3232 + 3227. Let i(c) = 7*c**2 + 14*c - 2. Let d(z) = 4*z**2 + 7*z - 1. Give u*d(n) + 3*i(n).\nAnswer: n**2 + 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4195814.\nAnswer: 2, 7, 299701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -11. Let l = y - 12. Suppose 30 = l*a - j - j, -a - j = 1. What is the closest to 2\/5 in a, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11, 8, 61, 166, 341, 604, 973?\n\"Answer: 3*v**3 - v**2 + v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j**2 + 105\/4*j**3 + 0 + 4*j - 37\/4*j**4 + j**5 = 0. Calculate j.\nAnswer: 0, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 48)*3\/(-9). Let d be (-91)\/(-2) - (-21)\/k. What is the remainder when 24 is divided by 99\/d*16\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 less than 3.46?\nAnswer: -99.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(2)*-4)\/((sqrt(200)*-1 - sqrt(200) - sqrt(200)) + sqrt(200) + sqrt(200)).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 27*p**3 + 1212*p**2 - 134*p + 40. What is q(-45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 29*v - 75. What is q(32)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -104*b**2*c - 5*b**2*d - 7*b**2 - 16*b*c*d + 9*b wrt c.\nAnswer: -104*b**2 - 16*b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 12. Let l = -6 - i. What is the third biggest value in 1\/4, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6950\/413 or 16?\nAnswer: 6950\/413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 + 34 + 0 + (-1 - 2 - 1)*(-4 + 2 + 1))*(4*h**2 + h**4 - 4*h**2) as o*h + b*h**4 + m*h**3 + p*h**2 + c and give b.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13153184 to the nearest integer?\nAnswer: 3627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -2\/5 (b) 4 (c) -1507 (d) -0.5 (e) 601\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-29)\/58)\/((2\/20)\/(-1)). Suppose -336 = -o*i - 7*i. Suppose 0 = -5*x + 19*x - i. Sort 6\/5, 0, 5, x.\nAnswer: 0, 6\/5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 28.81. Let y = -3964653.81000072 - -3964654. Let f = y + d. Round f to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1364 divided by 5\nAnswer: -1364\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 11*d - 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 6*o - 58. Let s be h(6). Find the first derivative of 201 - 7*p**2 - 81 - s + p wrt p.\nAnswer: -14*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y + 8. Let g(j) = 439*j**2 + 2*j. What is g(v(x))?\nAnswer: 15804*x**2 + 42156*x + 28112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 670 divide 6890280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 112 = 4*m, 5*a - 127 - 21 = -4*m. Suppose -4*u = -m - 16. Let j = 22 - u. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, -23, -2, 2\/7, 1\/3 in decreasing order.\nAnswer: 1\/3, 2\/7, -2, -23, -115","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Convert 19449.75mg to kilograms.\nAnswer: 0.01944975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/72*108\/20\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 0.186 in descending order.\nAnswer: 7, 0.186, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -32. Does 10 divide ((-12)\/(-2) - u)*47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(396) - sqrt(88)\/sqrt(2))**2.\nAnswer: -144*sqrt(11) + 1110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1011, -1011, -1021, -1047, -1095, -1171, -1281?\nAnswer: -1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3113 (base 4) to base 8.\nAnswer: -327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.277 and -1.71?\nAnswer: 0.47367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -72960, 123, -4, -3\/7 in decreasing order.\nAnswer: 123, 1, -3\/7, -4, -72960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/7 + 20396*n**2\/7 + 1731868*n\/7 + 37076148\/7.\nAnswer: 4*(n + 43)**2*(n + 5013)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/25)\/(5\/25). Which is the closest to v? (a) 1\/7 (b) 5\/4 (c) -65 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60 - -5?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3959 and 851.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**4 - 150*x**3 - 520*x**2 = 0. What is x?\nAnswer: -26, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 210410*v**2*x + 339*v**2 - 11556*v*x - 6096*x wrt v.\nAnswer: 420820*x + 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-14) - 372\/(-28). Let o(i) = i**3 - 14*i**2 + 17*i - 4. Let m be o(z). Let l = -10 - -16. Calculate the greatest common divisor of m and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z**(-6)*z)*z*z*z**(-3\/2)*(z**(-1\/3)\/z)\/z**(-5))\/((z*z\/(z**1\/z))**(-49))**(9\/2) assuming z is positive.\nAnswer: z**(2713\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + 6 + (-9 - -15).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/3 (b) -87\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54\/245 + -1\/49. Let n(j) = j**2 + 2*j + 1. Let r be n(-1). Let a = 3 - 4. Sort b, a, r in increasing order.\nAnswer: a, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7733 by 19.\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1781?\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 20 = h, 3*d - 1 = 8. Suppose 0 = 5*q + 4*n - h, 5*n + 10 = -5. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111010100100011001 (base 2) to base 8\nAnswer: -724431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 2*-2*sqrt(2736)*-4 - -5*(4 + sqrt(2736) + -4*sqrt(2736)*-1))*-2)**2.\nAnswer: 78720*sqrt(19) + 18398464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 14*r**2 - 2*r - 194. Let v be s(5). Which is the third biggest value? (a) 1\/14 (b) -3\/2 (c) v (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*i**3 - 118*i**3 + 272*i**3 - 77*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214723709?\nAnswer: 1259, 170551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - 2*h + 4*h**2 - 4*h**2 + 3076 - 3*h**2 - 6353 in the form d + y*h + k*h**2 and give d.\nAnswer: -3277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(-2 + 7 + 5)*(-2 - 3 + 6 + (-1 + 1 - 1)*(3 + 2 - 3) + 0 - 1 + 0)*(-l - l**4 + l).\nAnswer: -40*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2 - 0. Let u be (1 - 2) + z + (-9)\/(-3). Solve -3*g - 11 = o, 4*g + 17 = -u*g + o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w + 23*w**2 - 13*w - 3*w + 4*w + 25*w.\nAnswer: 23*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 4 + 12 = 0, -2*v = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*f - 4*f. Solve f*d - 5 = -5*t + d, 5*t + d = 15 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, p: 6, v: 4}. Give prob of sequence vy.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2838211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 2. Suppose -36 = -4*b + 3*a, 3*b = -2*b + a + 56. Let x(n) = -2*n**3 + 2*n**2 + 2*n. Calculate the lowest common multiple of f(b) and x(-2).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-15))\/((8\/(-30))\/(-4)). Find the second derivative of 2*u**2 + 3*u + m*u + 13*u**4 - 11*u - u**4 wrt u.\nAnswer: 144*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1546*y - 33. Let x(w) = -515*w - 12. Determine -4*t(d) + 11*x(d).\nAnswer: 519*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 0*i + 0*i)*(18 - 9 - 41*i + 40*i).\nAnswer: -i**3 + 9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1791*c + 11883 = -31101 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**4\/12 - l**3\/2 + 15*l**2\/2 + 2. Let m(c) be the second derivative of z(c). Let u(t) = 4*t + 7. What is -14*m(b) - 6*u(b)?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16954.9983746 - -16955. Round g to five dps.\nAnswer: 0.00163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 0*y + 2*y)*(-4 - 1 + 2) + 3*y + 26 + 0*y - 2*y + (0 - 4 + 3)*(0 + 2*y + 0) + y - y - 6*y - 3*y - 2 + 2.\nAnswer: -7*y + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17147 + 153853. Round x to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 3*r**2 + 10*r + 8. Suppose 3*k + 2*k = -30. Calculate the remainder when b(k) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 36 = 2*u. Calculate the least common multiple of 8\/6*(6 + (-3)\/(-2)) and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 227*q + 1. Let p be f(5). Suppose p = 3*x - 1141. Suppose -k = -v + 539, -v - 208 + x = 5*k. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 + -1.97. Let o = -27 + 31. Let j = 3 - 6. Which is the second biggest value? (a) j (b) o (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40.075 + -26.11. Round p to one dp.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2*a = -3, -2*f + 4*a = -3*f + 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*g + 4, -5*g + y = -2*g - 3. Which is the closest to -0.1? (a) 5 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297959 is divided by 250.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 3448008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 6*v**2 + 1. Let j(l) = -2*l**3 + 11*l**2 - 2. Suppose -8 = c - 4. Calculate c*j(u) - 7*z(u).\nAnswer: u**3 - 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/12 and (-4)\/4 + -4 + 301\/(-42).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72 in 4, 0, -3.21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1817 or 81772\/45?\nAnswer: 1817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrr. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110029.\nAnswer: 19, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 12*l**2 - 12*l + 16. Let z be o(-13). Let r(i) = -4 + 3*i + 0*i**2 + i**2 + z*i. What is r(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 1. Let z(c) = 6*c + 7. Let l be 2\/(-8) - (-240)\/192. Let y be (2 + (-4)\/2 + l)*-1. Give y*z(g) - 4*a(g).\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*4\/(-16)*-4. Suppose -3*x + 9 = 0, -x + 0*x = b*i - 15. Let q(h) = 3*h**2 - i*h**2 + h**2. Let w(m) = -m. Give w(q(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 10*g. Let w = -7 - -11. Solve -w*r + g*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**5\/2 - 24722*t**4\/3 + 47600566*t**3 - 59862181423*t**2 - 119946522625*t\/6 + 39918703125 = 0.\nAnswer: -21231, -1, 2\/3, 2375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 8*a**2 - 56*a + 80. What is d(14)?\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10) - ((-196)\/35 + 1). Solve -3*w - 4 = -y*h + h, 3*w = 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12.24 and 0.0998?\nAnswer: 12.3398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x - 12. Let d be k(1). Let n = d + 116. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92869416?\nAnswer: 2, 3, 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-9 + 7)) + -51 + 37.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 29. Give q(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12313222022 - -1002?\nAnswer: 12313223030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a centimeter in millimeters?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 580270 to the power of 1\/2, to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 733 (base 12) to base 11\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 127. Let w = -100 - g. Let t be 68\/(-132) + (-2)\/(-6). What is the biggest value in t, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -12, 4, 2, 6, -1 in decreasing order.\nAnswer: 6, 4, 3, 2, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 16 - 68. Let p be ((i - -8) + 5)\/2. Solve -2*f = c + 4, -3*c + p*c + 6 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -1.5 (b) -9 (c) -5\/4 (d) 2\/6661\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -18\/13*j**4 + 0*j + 0 - 32\/13*j**2 + 48\/13*j**3 + 2\/13*j**5 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 4514 - 12214. Suppose 10*g - 20*g = -k. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**2\/2 + 96*o + 127. Let q(l) = -2*l**2 + 3*l**2 + 173*l - 88*l - 85*l. Calculate x(q(s)).\nAnswer: s**2 + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1702, -3, 2.\nAnswer: -3, 2, 1702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 413036 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 0\/5)\/1. Suppose q*y - 2*l - 16 = -y, 2*l + 4 = 0. Sort y, -34, -1 in increasing order.\nAnswer: -34, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*i**3 - 3*i**2 - 50*i**3 - 32*i - 29*i**3 to f*i**3 + u + s*i + q*i**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -39*u**2\/2 + 13. Let j(o) = 3*o. What is y(j(s))?\nAnswer: -117*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2582550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -25*(-2)\/30*6. Calculate the greatest common divisor of n and 790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8970 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 56\/35 - (-4)\/10. Differentiate -7 - 179*u**r + 180*u**2 - 11*u**4 + 8 with respect to u.\nAnswer: -44*u**3 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -92924, -90614, -86764, -81374, -74444, -65974?\n\"Answer: 770*m**2 - 93694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186604 - -186603.9999876841. Round y to 7 dps.\nAnswer: -0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c + 81029 - 2*c - 81029.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 1 + 3 - -26. Let b be (-12)\/f + -1*(-66)\/(-10). Let p(w) = -w**3 - 3*w**2 + 8*w + 8. Is 19 a factor of p(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -535?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppmmppmmmppmmtpt. Give prob of picking 2 t and 2 p.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 r when three letters picked without replacement from {b: 1, a: 1, r: 3, p: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1692243 by -9.\nAnswer: 188027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.0042 (b) 2.9 (c) 245 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 337*r**2 + 41*r + 4. What is the tens digit of s(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -265048, -530106, -795164, -1060222, -1325280, -1590338?\n\"Answer: -265058*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -20 (b) -1\/3 (c) -12 (d) -175 (e) 3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/15, -2\/11 in increasing order.\nAnswer: -4, -2\/11, 1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzy when three letters picked without replacement from gnngzyqzmqgggzq?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**3 - 2*m**3 + 3*m**3 + (-2*m**3 + 4*m**2 - 4*m**2)*(3 - 1 - 4) - 4*m**3 + 3*m**2 - 3*m**2 - 1880 + 1880 + 49*m**3.\nAnswer: 47*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oioioiooiiiiiiiiioi. Give prob of picking 2 i.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 29657310*n - 118629208.\nAnswer: -2*(n - 14828651)*(n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-3*sqrt(10) - sqrt(10))*-3)\/((-3*sqrt(180))\/sqrt(10)))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t**4 + 3*t**4 - 8*t**4)*(125*t - 245*t - 23 + 118*t).\nAnswer: 24*t**5 + 276*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 3\/2*2. Suppose -5*i + 474 - 162 = -4*o, b*o = 4*i - 249. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6225, -6226, -6227, -6228, -6229?\nAnswer: -6230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 378, 67 in decreasing order.\nAnswer: 378, 67, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12489 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*r**2 + 14*r**2 - 18*r**2 + (r + 2*r + 0*r)*(-2*r + 2*r - 2*r) + 15*r - 15*r - 15*r**2.\nAnswer: -52*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 9*f + 10. Let k be o(-8). Let q = 27 + -16. Let n = q - 7. Put k, n, -4 in descending order.\nAnswer: n, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5372603 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 216 - 121. What is the remainder when a is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91 + 99. Suppose -3*t - r*y = -9*y - 105, 148 = 4*t - 4*y. Calculate the remainder when 168 is divided by t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 6 - 26. Suppose -27 = -4*c + v. What are the prime factors of 1\/3 - c\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3920909916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 72531437 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 2244.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -19*n**5\/20 - n. Let h be 360\/(-175) - (0 + -2) - (99648\/560)\/36. Let g(q) = -28*q**3. Calculate h*g(t) + 7*s(t).\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*r*s**3 - 21003065*r - 232*s**3 + 8*s**2 + 184*s - 1 wrt r?\nAnswer: -2*s**3 - 21003065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 193205*o**4 + 4362177.\nAnswer: 772820*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*b**3 - 177*b**2 + b + 25448 wrt b?\nAnswer: 39*b**2 - 354*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70613 is divided by 11767.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 - 2*n**3 + n**3)*(n - 4*n + n) - 125*n**2 + 17*n**4 + 125*n**2.\nAnswer: 21*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6845*k**3 - 3198*k**2 wrt k.\nAnswer: 41070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 211\/4 - 53. Let y = 0.02 - -0.28. What is the closest to i in y, -2, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11837\/(-1246))\/((-95)\/5))\/(1\/(-55)).\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1372372.\nAnswer: 2, 103, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**5\/60 + 7*s**4\/24 + 5*s**3\/6 + 5*s**2\/2 - 7. Let u(g) be the second derivative of l(g). Determine u(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/20 and (2\/(-30))\/((-22)\/3531).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l + 4 + 2*l + 0. Let c be 2\/(-6) + 64\/12. Determine y(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/11*m**5 - 10\/11*m - 20\/11*m**3 - 2\/11 - 20\/11*m**2 - 10\/11*m**4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 0*f**3 + 0 - 1\/40*f**5 - 1\/12*f**4 + 1\/360*f**6 + 0*f + f**2. Let u(i) be the second derivative of y(i). Determine u(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2039 + -2036. Which is the closest to -32? (a) -1 (b) j (c) 1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v + 24 = 0. Let y(a) be the second derivative of a**4\/4 - 3*a**3 - a**2\/2 - 2*a + 23. Calculate the remainder when y(v) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*1*(3 + -2). Suppose -2*c - 8 = -2*r, -2*c + 5*r = -5*c + 20. Suppose 4*x - 76 = -c*x. Solve 2*u + x = -p*w - 3*u, -5*w = -u - 20 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2. Let t(l) be the first derivative of -12*l**3 - 4*l**2 - 377. Give t(a(i)).\nAnswer: -324*i**4 + 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 154*o**3 - 111*o**2 - 50*o**3 + 6*o + 82*o**3 + 498*o**3 wrt o.\nAnswer: 4104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 283c2 (base 15) to base 12\nAnswer: 6286b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**2*t**4 + 5*r**2 + 2*r*t + 8*t**3 wrt t?\nAnswer: -24*r**2*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-5*(sqrt(143) - sqrt(143)*3))\/((sqrt(99)*4)\/sqrt(9)))**2.\nAnswer: 20*sqrt(13) + 389\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 1 = -2*n, 0 = 4*s - 5*n - 41 + 35 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -217 - 80*g**3 - 202 + 803 - 205 - 212 + g + g**2 to the form s*g**3 + u*g**2 + f*g + r and give r.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496213356 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16086 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 3*g - 1\/2*g**2 + 0 + 1\/6*g**3. Suppose 3*h + 4*q + 13 = 0, 10*q - 10 = 5*h + 5*q. Determine l(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**2 + 1. Determine i(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.999995 - -5. Round z to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**4 - 2 + 199*h**2 + 137466*h + 7*h**2 - 137455*h as l*h + v*h**2 + a*h**3 + p + q*h**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0 - 1 - 2 + 4 - 23 - 39 + 11 + (2 - 4 + 4)*(-4 - 1 + 3) + 1 + 1 - 3)*(o + 0*o - 5*o) as x + a*o and give a.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 2*m**3\/3 - 2309. Let i(v) = -252*v. Give i(t(x)).\nAnswer: -504*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151 - 81. Let y be (-1*0\/5)\/(-3). Suppose 28*l - 29*l + 10 = y. Calculate the greatest common factor of l and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, d: 10}. Give prob of sequence vvvv.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -258, -298, -364, -456?\n\"Answer: -13*v**2 - v - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -10 - (-3)\/(-12)*10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide (4 + (-12)\/8)\/((-3)\/(-96))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a7 + -a57?\nAnswer: -b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/2)\/(3 - 273\/92) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*c - 158*c + 178*c + 17336 = 0 for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 102228120 and -0.103.\nAnswer: 102228119.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 + 970*r**3 + 51645*r**2 + 446200*r + 1058000.\nAnswer: 5*(r + 5)**2*(r + 92)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136313\/4880 + 1755\/61. What is the common denominator of 101\/64 and n?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.29 + -0.79. Round v to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1776 = -4*g - 4*d, -2*d = -2*g - 0*d + 868. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11132201143 (base 5) to base 16\nAnswer: bcecef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 4:25 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 982502 and 950718.48?\nAnswer: 31783.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 15) to base 10\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27807, -55628, -83461, -111312, -139187, -167092?\n\"Answer: -y**3 - 27814*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6*(-32 + 2). Let h be 4000005\/b + (-1)\/4. Suppose 2*c + h = 4*c. What is c rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/3)\/((-15)\/(-10)). Suppose a*q**3 - q + 14*q**2 + q**4 - 16*q**2 + 1 + 0 - q**5 = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2166378 and -0.2.\nAnswer: -433275.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 2, 0, 2\/251?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 9, 3*f = 3*u - 1 - 8. Let l(o) be the second derivative of 1\/14*o**4 + 0 - 12*o - 3\/14*o**2 + f*o**3 + 0*o**5 - 1\/70*o**6. Solve l(q) = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.00519 and 7.\nAnswer: 7.00519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 14. Suppose 86*t - 78*t = 144. Calculate the lowest common multiple of 32 and v(t).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, l: 2, m: 3, u: 4}. Give prob of picking 4 u.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 956820343.\nAnswer: 859, 1113877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1510\/880 - ((-32)\/(-352) + 1).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 2*p**5\/5 - p**4\/3 - 6*p. Factor m(k).\nAnswer: 4*k**2*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/6 and 99\/140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -10*c**3 + 24*c**2 + 35*c + 13. Let u = 10 - 2. Calculate the remainder when n(-1) is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 0*d + 0 - 1\/15*d**5 - 1\/3*d**3 - 3*d**2 + 1\/120*d**6 - 1\/8*d**4. Let s be v(5). Solve -z - s = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b + 1. Let w(j) = -j + 3*j + j - 4*j. Let p = 2 - 3. Let t(s) = p*u(s) + 4*w(s). Calculate t(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0559 + 0.0229. Put 4, -2\/7, h in ascending order.\nAnswer: -2\/7, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*s = 0, 5*i - 6 = i - s. Suppose 5*x = 3*p - 2, p + 7*x - i*x = -6. Sort -2, -5, 1, p in decreasing order.\nAnswer: 1, p, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37+3326847648\nAnswer: 3326847685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.5 (c) 10493 (d) 145 (e) 6 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -38 + 30 + 8\/1. Let g = 78 - 70. Solve -4*b - 4*z - g = k, -4*b + 5*z + 20 = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 137, 190, 241, 290?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - 3*g + 5*g - 114*g - 42*g + 610*g + (13 - 4 + 4)*(4*g - 3*g - 2*g) as y + i*g and give i.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1584)*-1)\/sqrt(4))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 7:20 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -104, -206, -308, -410, -512?\n\"Answer: -102*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 146948899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 b, and 1 s when four letters picked without replacement from rbsdbrb?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w + 0*w)*(5 - 55 - 53)*(1 + 3 - 3).\nAnswer: -103*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {r: 1, b: 1, k: 1, e: 1, v: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) 0.02 (c) 3 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3.335 times 1.17\nAnswer: -3.90195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.11 - -0.01. Let f = 1972\/5 - 395. Which is the nearest to d? (a) 4\/9 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 0)*(1 - -1). Let m be (2\/(-3))\/(d\/3). Is -2\/9 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5307478 or -5307476?\nAnswer: -5307478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-30)\/21) + 300\/35. Let 36*c**2 - 6*c - 29*c**3 - 3*c**4 - c**2 - u*c**3 + 12*c**4 = 0. Calculate c.\nAnswer: 0, 2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1756, 3302, 4852, 6406?\n\"Answer: 2*s**2 + 1540*s + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 214*y + 3853. Let r be m(-18). Which is smaller: -57\/374 or r?\nAnswer: -57\/374","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 7:33 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11741179, 23482361, 35223543, 46964725?\n\"Answer: 11741182*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a. Let i be s(-1). Suppose -3*g + 15 = 3. Solve -v = g*v + 5*q - 5, -i*v + 3*q = -17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.95 + 5. Suppose -20 = -4*q, 0 = -0*r + 5*r + q - 5. Let t be (-2)\/1 + (-52)\/(-32). Which is the smallest value? (a) k (b) r (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -l + 5*x, 0 = 2*l - 3*x - 2 - 0. Calculate the remainder when 3 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (72\/(-20))\/((-15)\/2050). Let b be (-123)\/i + (-266)\/(-8) + 0. Determine d, given that -b*d**2 - 45\/4*d**3 + 25\/2 - 65\/4*d = 0.\nAnswer: -5\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-2 - 1 + 6)*(3 - 3 + c)*(1 - 1 - 4).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -974, -1292, -1612, -1934, -2258?\nAnswer: -2584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 18 = -2*z. Suppose -l = l - z. Suppose 2084179 = -l*j - 6615821. Round j to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c. Let u(f) = 2004*f**2. Give u(h(z)).\nAnswer: 18036*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.5, 5, 8, 195 in ascending order.\nAnswer: 0.2, 0.5, 5, 8, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n*n**3*n*n*n*n)**34\/(n*n*n\/(n\/n**6)*n*n)**46 assuming n is positive.\nAnswer: n**(-86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 11*n**2 - 10*n - 15. Suppose -2*h + 3*h - 12 = 0. Let r be f(h). Differentiate -29*v**4 - 5 + 15*v**4 - r with respect to v.\nAnswer: -56*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (2 - (-1 - -2 - -1)). Factor 4*b**3 + b**4 - b**2 - 2*b**3 - 3*b**3 - b**3 + x*b.\nAnswer: b*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*r - 62860 - 58976 + 121836 + 82*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 4*z - 4. Give o(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + -320. Let k = -196 - l. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -22. Let h = t - -5. Let r = h - -6. Do r and 2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -600, -742, -886, -1032?\nAnswer: -1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 509346 by 113.\nAnswer: 509346\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -3 - 1\/2*g**2 + 0*g. Let c(h) be the first derivative of -h**2 + 36. Calculate p(c(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + sqrt(891) + 2)**2 + 3 - ((-6*-1*sqrt(891))**2 - (sqrt(891)*2*-3 - sqrt(891))**2).\nAnswer: 12479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 27 - 5 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172253?\nAnswer: 281, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2. Suppose 8*t - 24 = -8. Let n(i) = 6*i**t + 7*i**2 - 17*i**2 - 18*i**2. Calculate n(h(w)).\nAnswer: -88*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-6)\/(-14)*77\/(-22)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.1, 1, -0.3, 39, -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -6*h. Factor h + 0*n**3 + 4\/9*n**2 - 4\/9*n**4 - 2\/9*n**5 + 2\/9*n.\nAnswer: -2*n*(n - 1)*(n + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82474735 and 82882?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3122 - -3131. Let j = -13 + 8. Let c = j + 7. Solve 0 = -c*k - 1 - a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (25\/(-10))\/(1\/(-2)). Suppose o*f - 6 = 4. Differentiate 3*h**2 + 4*h**2 - 4 + 6 - 3*h**f wrt h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4605 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5 + 0*v**2 - 7*v**2 + 3 + v**2 wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhen when four letters picked without replacement from eedheendnheenss.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1247, 9975, 33679, 79847, 155967?\n\"Answer: 1248*p**3 - 8*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-5274.694.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 6. Let d = -1 - m. Let z = -0.3 + 0.2. Which is the closest to z? (a) d (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((1 + sqrt(175))*6)**2 - (sqrt(175)*-2 + -4 - sqrt(175))**2) + (3*(sqrt(84) - 1*sqrt(84)))\/(sqrt(12) + -2*sqrt(1728)).\nAnswer: -4745 - 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*z**3 - 8131*z + 672*z - 22*z**4 + 26*z**4 - 8*z**2 wrt z?\nAnswer: 48*z**2 - 174*z - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75882 by -851.\nAnswer: 75882\/851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*-2*sqrt(7))**2*1 + 5.\nAnswer: -2683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 22. What is b(6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5595 in -5\/2, -2\/7, -120?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 6:55 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27778, 31903, 36028, 40153?\n\"Answer: 4125*l + 23653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24046 - -432?\nAnswer: -23314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 462 + q**3 - 459 - 5*q**3 as h*q**3 + v + l*q + d*q**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 355*q - 48 = -359*q, -15*q - 30 = a + 4*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -45.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -30958.445.\nAnswer: 30957.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 2. Let v be n(-1). Suppose v = o - 16. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10291 (base 11) to base 6.\nAnswer: 153211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**3 + 0*d**3 + 11*d + d**3 - 1 + d**3 in the form r*d**2 + f + b*d**3 + j*d and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 9*t - 23. Let h be y(11). Let a = -2114471\/34440 - -20223\/328. Let r = a - -2\/287. Are h and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.3 (c) -0.1 (d) -2\/13 (e) 2 (f) 146.952\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11154307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**5 + 279172*v**4 - 2792164*v**3 - 3071332*v**2 = 0.\nAnswer: -69803, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(1053)*2*4 - sqrt(1053)) + 6*sqrt(1053)*2 + sqrt(1053) + (2 + sqrt(1053) + -4)*3 + -4 + 4)**2.\nAnswer: -2484*sqrt(13) + 557068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -6) + -2*(1 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9288 = 32*q + 54*q. Calculate the least common multiple of 102 and q.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 5*f - 3 = l + 5*l, -1404*f - 4941 = 4*l + 259*f for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -17*u + 130. What is m(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 19815.4788 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 51 in descending order.\nAnswer: 51, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -116 + 119. Solve -4 - 2 = -3*o + k, -l*k + 6 = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssxbsbs. Give prob of picking 2 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24645 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/5 + 432*f\/5 + 176.\nAnswer: -4*(f - 110)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*u - 35*u + 4*r - 120 = 35*u, 10*r - 83 = -4*u + 7*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -w + 4*r, 5*r + 4 = 5*w + r. Suppose -4*z - w*o = -4528, o + o - 5654 = -5*z. What is z rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120122 + 10122?\nAnswer: 10201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of (144\/90)\/(112\/(-30) + 4) + 12383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*c = -2*c - 16, 2*h = 3*c + 12. List the prime factors of -4 - -415 - (-3 + h).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-12)*26\/(-117)*-63.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-3))\/(32 - (-3008)\/(-96)). What is the fifth smallest value in 3\/7, -0.2, z, 1, 0.03?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11 from -207037.\nAnswer: -207026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a + 4 = 196 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20, 86, 186, 308, 440, 570?\n\"Answer: -2*g**3 + 29*g**2 - 7*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 57 - -b923?\nAnswer: b97a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (54\/21)\/(5\/35). Let t be 5*428\/14 - x\/(-126). What is the greatest common divisor of t and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.66447 - -4.72. Let c = 0.055 - k. What is c rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from xiauk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y = 10. Let q be (-6 - -5)\/(2\/(-14)). Suppose c = 5*m + 18, y*m = 4*c + q - 79. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -16\/9, -2, -122, 16\/3, 1\/3?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 11*o**2 - 3*o - 7. Suppose -3*x = -32 + 14. Is j(x) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v)**(-12\/7)\/(v**(-1))**(11\/3) assuming v is positive.\nAnswer: v**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -2 (c) -0.007 (d) -0.4354\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2997 divided by -1020\nAnswer: -999\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 32. Let c = a - -26. Solve l = 6*l + c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 4*r - 8. Let n be 1 + 0 + -1 + 4. Let h = -17 + 19. Solve h*z + 2*l - 2 = r, n*l - 12 = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -38?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*g - 3*v, -2*g - 3*v - 5 = -30. Suppose 6*c - g*c = -90. What is the remainder when c is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, 3, -17, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -17\/5*i**5 + 0*i + 14\/3*i**3 + 0*i**4 + 0*i**2 + 9. Find the third derivative of y(p) wrt p.\nAnswer: -408*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266052618 minus 49.812?\nAnswer: 266052568.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16 + -1*(-1)\/1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 34*r**2 - 51*r + 2694. Determine v(-29).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1587.7 rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -0.3, 2\/5, 1, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 4\/89, -0.3?\nAnswer: 4\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3295, -3293, -3291, -3289, -3287, -3285?\nAnswer: -3283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939544 a multiple of 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 9*x - 3*x. Solve -x*t + 2*t = 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**3 - 3*m**2 + m - 2. Let g be t(2). Suppose -10*k - 74 = -34. Let y = g + k. Solve y = -5*o + 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 10 + 85)*(2 + 0 - 3)*(-2 - 4 - 2)*(-2 - 2 + 5)*(-8*l + 8*l + 5*l**2)*(-2 - 1 + 5).\nAnswer: 9760*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -342011\/5 - -679329\/10. Let z = 463 + g. Calculate the common denominator of 59\/2 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 201 + -140. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, -0.5, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 34, 83, 6, 4, 7 in descending order.\nAnswer: 83, 34, 7, 6, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56349498?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4 = 0, -n - h = -5*n + 1079. Let t = -405 + n. Let p = -125 - t. Calculate the remainder when 65 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k - 4*k + 1716. Let m = 170 - k. Solve y = 5*z + m, -2*z = -2*y + 6 - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z = 4*z - 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 5 = j, -5455 = -6*j - 3*g - 5440 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 319 and 12441?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/4*16\/(-6). Let s(o) = -o**3 + 4*o**2 + 7*o - 8. Let h be s(5). Suppose 7 = -h*n + 13. Solve -5*t - 5 = -5*b, 6*b = n*b - 2*t + x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*n - 5*x, -2*n + 23 = -x + 6*x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 7) in base 8?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 240, 883, 1940, 3399, 5248, 7475?\n\"Answer: -2*b**3 + 219*b**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 14 = -4*r, -5*r + 13562*b + 19 = 6786*b + 6779*b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448319 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50759*m**2*x - 30*m*x + 59*m wrt m.\nAnswer: 101518*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5120\/9 + 103219\/180. Let d = 15113 + -11123165\/736. Let p = d + -5553\/8096. Calculate the common denominator of p and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 4*y**2 + y - 1. Let m be f(4). Let d(r) = r + 1. Let o be d(5). Suppose -o - 4 = -2*q. What is the second smallest value in m, q, -3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**4\/2 + 17*s**3\/3 - 60*s**2 - 29. Find the second derivative of v(l) wrt l.\nAnswer: 12*l + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/(-6)*-2 - ((-22)\/(-6) + -2). Let k(n) be the first derivative of 21 - 1\/3*n**3 + 0*n**c + 0*n. Give k(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/6, -3, 0.07, -0.83556.\nAnswer: -3, -0.83556, 0.07, 1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**5 - 34*l**4 - 36*l**3 - 5*l - 1760?\nAnswer: 20*l**3 - 408*l**2 - 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10262 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 135*c.\nAnswer: 5*c*(c + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3432815*d*k**2 + 64593*d wrt k.\nAnswer: 6865630*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 - (5 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 77224*b - 100107. Let z(a) = -898*a + 1164. Let s(m) = -4*v(m) - 343*z(m). Find the first derivative of s(n) wrt n.\nAnswer: -882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -285, -2, 4, 9600 in increasing order.\nAnswer: -285, -2, -1, 4, 5, 9600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 201803282 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2840235 by -568047.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1409 - -0.1709. What is the closest to -1 in u, 2, 1\/63?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-16))\/(((-1)\/14)\/(39\/(3276\/(-1392)))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 26*a - 25*a. Factor 29*f + a*f - 12*f**2 - 17 - 3 - 4*f**3.\nAnswer: -4*(f - 1)**2*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6258083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**3 - 6697*c**2 + 18478*c + 51992. Calculate w(-1677).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbovovbvbvobo. What is prob of sequence vo?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 5:22 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 take away -0.11?\nAnswer: -209.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 0.08, 46, -1, -162?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a*w**5 - 5233*a*w**4 + a*w**2 + 179*a*w + 2*w**2 - 2 wrt w?\nAnswer: -240*a*w**2 - 125592*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106 + -108 - (-374)\/(-42) - -11.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + 338\/104\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -2. Let u(l) = -l**3 + 16*l**2 - 28*l + 5. Let n be u(14). Let q be (-2116)\/(-115) + (-2)\/n. What is the highest common divisor of f and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*g - 9. What is the remainder when 17 is divided by (27\/(-12))\/(g\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + -1*-1*(sqrt(19) + 1) - (sqrt(152) - (sqrt(152) + -5*-3*sqrt(152)))\/(6*sqrt(32)))**2.\nAnswer: 9*sqrt(19)\/2 + 1555\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s + 52. Let b be g(8). Which is smaller: -10 or b?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -292 - -296. Solve 17 = 3*g - 4*x, -a*x + 0 = 4*g + 24 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21.5 + -21.119. Round j to two dps.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppxx when four letters picked without replacement from ppxx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-27 + 7) - (15 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1753*l - 1746*l + 3494*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 326, 64, 4, -3 in descending order.\nAnswer: 326, 64, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -18 - (-3 - 4 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75.5603 - -75.160291. Let a = -0.8 + 0.4. Let i = r - a. Round i to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/18 and -45\/47.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1352579*t**2 + t + 113296 wrt t.\nAnswer: -2705158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1070*r**2\/3 - 35978*r\/9 + 7348\/9.\nAnswer: 2*(r - 11)*(1605*r - 334)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**5\/50 + p**4\/10 + 2*p**3\/15 - 2*p - 1. Let w(g) be the first derivative of o(g). Factor w(n).\nAnswer: 2*n*(n + 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4\/7 (b) 2 (c) -34.9 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 2 (b) 5 (c) -1 (d) -849\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.04, 2\/15, 167?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-25)\/(-9) - (-198)\/891. Solve d*z + 19 = 19 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.436 take away 5.2?\nAnswer: -0.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.24, -2\/61, -0.143, 18.\nAnswer: -0.24, -0.143, -2\/61, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -5*a - 25, -213*c + 98 = -44*a - 211*c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5667213 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g + 848 = 1816. Let q = 12 + -17. Which is the biggest value? (a) -4\/5 (b) g (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/20424 and 125\/2078142.\nAnswer: 8312568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 60*20\/45*3?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55647 (base 10) to base 5\nAnswer: 3240042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k**(-10))\/((k*k**(-11)\/k*k)\/k**(-1\/3)) assuming k is positive.\nAnswer: k**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 230223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*10\/20.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - l - 2. Let k be n(3). Suppose k*j - 8*j = -20. Let m(b) = -b**3 + 8*b**2 + 4 - 4 - 4*b**2 + 5*b. Determine m(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-8))\/(4*(-36)\/48)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -16*j**3 + 78*j**2 + 17*j - 31. Give n(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2.43, -5, 4, 1\/7, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-1\/2)*x*x*x)\/x*x)\/((x\/x**3*x)\/x))\/(x**(-1)*x*((x\/(x\/(x*x**(-3))*x))\/x)\/x) assuming x is positive.\nAnswer: x**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250608 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2e2d9 (base 16) to base 8\nAnswer: 561331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 2*k + 14. Calculate the remainder when 1556 is divided by m(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 80, -4, -2 in descending order.\nAnswer: 80, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13498679\/339 - 39819. Find the common denominator of 59\/7 and o.\nAnswer: 2373","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 255822494 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-4) + (107\/(-7) - 0)*5026\/(-17232)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19373.984 to the nearest 100.\nAnswer: 19400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2052 and 26844?\nAnswer: 4590324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-208)\/(-120))\/13)\/(6\/(-9)))\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 422875853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38779307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**5 + 49580*g**4 + 199140396*g**3 + 234322663268*g**2 - 100078008011552*g = 0. What is g?\nAnswer: -4241, 0, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve k + y - 2 = 0, 0 = -2*y + 2 + 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, x: 1, h: 1, e: 2, w: 1, t: 1}. What is prob of picking 1 x, 1 w, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -2, 0.1, 18.\nAnswer: -2, 0.1, 5\/3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - 2*r**3 + 33*r**2 - 33*r**2 to v*r**2 + a + w*r**3 + g*r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 4*t + 3*t - 28*t to l*t + q and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 55895.74 and 1311660.63?\nAnswer: 1255764.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (8\/10)\/((-8)\/20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*d**4 - 5*d**4 + 420*d**2 - 445*d**2 wrt d?\nAnswer: -336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 2)*(1 + 1). Let s(m) = -4 + 5 + p*m - 2. What is s(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -579.08 + 526. What is f rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 4, -1, 9, 0 in increasing order.\nAnswer: -43, -1, 0, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54cba6 (base 13) to base 8.\nAnswer: -7500334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (12 - (39 - 18))) + -27\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -351 - 1487*a**4 - 2283 - 1750*a**4 + 379*a**4 wrt a.\nAnswer: -11432*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 8057.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5862 - 2663. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-97)\/((-3)\/9*-3). Let n = -94 - i. Let k be 3\/12 + 19\/4. Solve 3*q = -4*o - 23, -9 = n*o - k*q + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366.95 < -14\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22475166 + -50275166. Round d to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*a - l, 4*l + 36 = -2*a - 0*l. Factor 22\/5*k + a + 2\/5*k**2.\nAnswer: 2*k*(k + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 253*m**3 + 256*m**2 - 6. Let y(n) = 505*n**3 + 513*n**2 - 13. Let o(r) = -13*v(r) + 6*y(r). Find the third derivative of o(g) wrt g.\nAnswer: -1554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -14*x + 7. Let r(i) = -i + 1. Give 5*r(p) - z(p).\nAnswer: 9*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 7348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -260 - -247.5. Let l = w + 12.4999958. What is l rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnnnfnf. Give prob of sequence nn.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(-1*sqrt(5)))\/(-2*sqrt(192)).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuviuiuiviiiq. Give prob of picking 2 v and 1 i.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -1 + 1 + 18. Let q = 39 + -22. What is the greatest common factor of q and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2595, 2773, 2965, 3177, 3415, 3685, 3993?\nAnswer: 4345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y. Let j be z(5). Suppose 4*q + 2*t + 3 = -27, 15 = j*t. What is the smallest common multiple of q\/(-27) - (-22)\/6 and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*-0.015.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -7. Let g = -1 - f. Suppose -3*d + 29 - 5 = 4*h, -5*h - 4*d = -31. Solve -3 = 4*a - x, a + g*x = -h*x - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13675213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 3)*-5*4\/(-8). Suppose 0 = -r + j + 74 + 26, y*r = j + 516. Does 27 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**3 + 0*y**3 + y**4)*(1400 + 128 + 2 + 3787 - 374) as x*y + q + p*y**2 + n*y**3 + m*y**4 and give m.\nAnswer: 4943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*a)*(25*a - a + 10*a) + a**2 + 3*a**2 - 6*a**2 + (2*a - 2 + 2)*(0*a - a - 2*a).\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 3*u + 1. Give z(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1375*m + 974*m + 623*m - 877*m**5 wrt m?\nAnswer: -17540*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-5 - (1 - 10)) + (-2 - 5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/8))**46\/(t*t*(t\/t**(2\/7)*t)\/t)**(1\/17) assuming t is positive.\nAnswer: t**(-2813\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 9745*g + 2787075. Give r(-286).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -242 + 232. Let l be (g - -8)*2 + 78\/19. Factor -4\/19*x - l - 2\/19*x**2.\nAnswer: -2*(x + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31153829 and 15183?\nAnswer: 280384461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g - 98. Let h(q) be the third derivative of q**4\/12 + 11*q**3\/2 - 7*q**2 + 264. Give -17*h(l) - 6*y(l).\nAnswer: 2*l + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*o + o - 1, -2*i + o + 2 = 0. Let p(u) = -7*u**2 + 9 - 5*u**3 + 5*u**3 - 2*u**3 + u**3. Calculate the smallest common multiple of p(-7) and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1443 + -1442.97828. Round x to 4 dps.\nAnswer: 0.0217","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43 + 1942a?\nAnswer: 19397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 + 20 = -7*m. Let b = -12\/181 + -6203\/1991. What is the common denominator of m\/3*(-1)\/3 and b?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 10023.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 431379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(3 - 0)\/3. Let r(t) = 3372*t - 3372*t - k*t**2. Let s(d) = 15*d**2. Calculate s(r(y)).\nAnswer: 60*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17403*b**4 + 257*b**2 + 2*b - 5 wrt b?\nAnswer: -417672*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/27 and -89\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 7*b - 3. Let l be v(-8). Suppose -3*j - j + 13 = 5*n, -l*j - 25 = -2*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -231*z**3 + 15*z**2 + 37*z + 343. Is y(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14347 is divided by 4779.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 186 - 125. List the prime factors of v.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s + 23. Determine b(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 2*g - 2*u = 6, -7*u + 17 = 5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 11406000344?\nAnswer: -11406000345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-40 - (-7 + 8 + 6 + -16)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7127 - 7124 - ((0 - (-1 - 1)) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-8)\/(-28))\/(6\/14).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*c**3 + 34*c**3 - 3 - 5*c + 0*c as h*c**3 + j*c + s + z*c**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from bjkjnuk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-11) + (525\/(-165))\/(10\/155)?\nAnswer: -99\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3 - 8\/3. Let s = -5 - l. What is the units digit of ((-4)\/6)\/(2\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 385\/25 + 12\/20. Suppose 0 = l*a - 2*a - 28. Solve -3*o - 2*o - a*i = 0, 0 = -2*i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 102*i**2 - 1. Is h(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4\/7 - 228*a**3\/7 - 54314*a**2\/7 + 220140*a\/7 - 165600\/7 = 0. Calculate a.\nAnswer: -120, 1, 3, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*p**3 - 501*p + 2272 wrt p.\nAnswer: 21*p**2 - 501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -5, -2, 1\/21, 19 in decreasing order.\nAnswer: 19, 0.8, 1\/21, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*c**3*t - 4*c**3 + c**2*t + 16618*c**2 - 2*c*t - 2340095*c wrt c?\nAnswer: -42*c*t - 24*c + 2*t + 33236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -3, -2\/3, 2.7899?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28\/39 - 5\/13. Let w = 5.6 + -6.2. Which is bigger: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 91, 120, 149, 178?\n\"Answer: 29*f + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 - 45. Suppose 0 = h - w*h + 36. Calculate the least common multiple of 24 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 8. Suppose 0 = -3*l - 1 + 7. Let i(y) = -l - r*y - 2 + 3. What is i(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5 = 8. Let o(t) = 0 + 2*t + t**2 + 0. Let q be o(x). Let p(m) = m + 4. What is p(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x - 18*x = 5928. Suppose 3*t = b - x, t - 3*t - 303 = -b. Is -153 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 545 and 5668?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p + 5. Let k(a) be the first derivative of -3*a**2 - 6*a + 3. Determine -5*i(t) - 4*k(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 15*w**5 + 155*w**4 + 25*w**3 - 255*w**2 - 40*w + 100 = 0.\nAnswer: -10, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -515.1 - -516. Sort 2\/13, 3, -5, l in ascending order.\nAnswer: -5, 2\/13, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 3*j**5\/20 - 45*j**4 + 7551*j**3\/2 - 31590*j**2 + 369603*j\/4 + 5270. Solve q(b) = 0.\nAnswer: 3, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3355 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*1)\/(-13*(-7)\/91*-13)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 260815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/7 + (-7 + 3)*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1005636 and 1092516?\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 7*l + 4. Let z(a) = -a**3 - 11*a**2 - 8*a + 13. Let q be z(-10). What is the lowest common multiple of c(q) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-12))\/(2\/4276). Let s = z + -1016\/3. What is the common denominator of 15\/7 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10925 by 5.\nAnswer: 2185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329*g - 332*g - 282 = 0. Let d = 31 - g. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -476*r + 35. Let g be ((-1)\/(35\/10))\/(-1 + (-56)\/(-49)). Let p(l) = -28*l + 2. Calculate g*y(w) + 35*p(w).\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 + 6*s**3 - 6*s**2 + 2*s.\nAnswer: -2*s*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/24 and 101\/168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.081 and 0.1.\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -103*s**8\/112 + 697*s**5\/60 - 24*s**2 + 8. Find the third derivative of n(w) wrt w.\nAnswer: -18540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140286.558 rounded to the nearest one hundred?\nAnswer: 140300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-6)\/(-8)) + -1. Let u = -11407\/26600 - -1\/3800. What is the third smallest value in -2\/3, u, -2\/7, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3) + (-122)\/(-6). Suppose 4*r = 2*r + u. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 9426066035965.\nAnswer: 9426066035960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:21 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1005 + -940. Let q = 500 - 246. Calculate the remainder when q is divided by p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - 4. Let g be c(-3). Suppose -6*r - 64 = -g*r. Calculate the common denominator of ((-4)\/r)\/(2\/67) and -103\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.1 (b) -13 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 44, -25, 719\/4, 0 in descending order.\nAnswer: 719\/4, 44, 5, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -149, -164, -179, -194?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4695, -1, 3, 27, -2, 2, 13 in ascending order.\nAnswer: -4695, -2, -1, 2, 3, 13, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - (3 - 1) - -2. What is the first derivative of -2*d - 3 + x*d + 1 wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 + 0*g - 12 - g**2 + 3*g + (0*g - g + 0*g)*(2*g + 3 - 3).\nAnswer: -3*g**2 + 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/313? (a) 4 (b) -1\/46 (c) -5 (d) 0.01 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(20) + 5*sqrt(140)\/sqrt(7))**2 + 0)*5 + -1.\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d + 67. Let h(x) = -2*x + 4. Determine -h(a) + i(a).\nAnswer: -3*a + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4524\/130)\/(-58))\/33.\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 - 1\/1)*3\/(210\/(-8722)) is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 76*q**2 - 3. Let m(k) = -68*k**2. Calculate g(m(n)).\nAnswer: 351424*n**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 + 6*j. Let p(c) = c. Let o(k) = -4*k**2 - 2*k - 6. Let d(u) = -u**2 + 6*u + 7. Let m be d(7). Let r be o(m). Calculate r*p(b) + w(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1576*i**3 - 796*i**2 wrt i.\nAnswer: -9456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 6)*(1 - 2 + 7)*(0*y - 4 - 2*y + 3).\nAnswer: -96*y - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 1:47 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - k + 4*k + 0*k - 3*k + k + (3 - 1 - 1)*(2*k - 4*k + k) + 2*k - 5*k + 2*k + (-1 - 1 + 3)*(k + 2 - 2).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19292904.1 rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 1. Let j be r(-2). Let i(u) = -u**2 + u + 331. Let d be i(-17). Which is bigger: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5862, -5869, -5876, -5883?\n\"Answer: -7*v - 5855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9853114476 divided by 6?\nAnswer: -1642185746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/17 + 403\/544. Find the common denominator of 65\/4 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q**3 + 3*q**2 + 10*q + 3. Let u(t) = -21*t**3 + 8*t**2 + 29*t + 8. Let x(h) = 17*a(h) - 6*u(h). What is the remainder when x(2) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 2120092?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -13*g**2 - 25*g + 20. Let x(k) = -6*k**2 - 12*k + 10. Let m(a) = 2*u(a) - 5*x(a). Let w(t) = -3*t**2 - 7*t + 7. Give 5*m(l) + 7*w(l).\nAnswer: -l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 - 0.01. Let l = t - -1.15. Which is the closest to 0? (a) l (b) -5\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -87, -214, -423, -732, -1159?\nAnswer: -1722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/2)\/12*4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from bkibnibb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.767348 minus 6.56443?\nAnswer: -109.331778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - -5427?\nAnswer: 5418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 453782*r + 51479525881.\nAnswer: (r + 226891)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 11:04 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -327 + 331. Solve -15 = u - w*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 10. Suppose 2*g + 5*g - 14 = 0. Suppose -3*d - 6*l - m = -g*l, 3*d - 2*l = 19. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - -10. Let v be 3 - a\/(-21) - (-2)\/(-7). Suppose -j - 120 = -v*j + 4*b, j + 4*b - 45 = 0. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51, -116, -195, -288, -395?\n\"Answer: -7*l**2 - 44*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*u**3 + 34438*u**2 + 581882 wrt u.\nAnswer: 15*u**2 + 68876*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 - 4*i. Let a be 0 - (2*-1 - -2). Let p(x) = x - 3. Let b be p(a). Let t be d(b). Round t to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/10*95\/(-2). Let s = 22 - p. Let w = -18 - s. Which is smaller: -6\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffynfdn. Give prob of picking 3 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2 + 2*j + 2. Let z(l) = l + 1. Let y(d) = -v(d) + 2*z(d). Let k(q) = -4*q**2. What is y(k(m))?\nAnswer: -48*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7675 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -8. Let o(k) = -4*k**3 + 7 - 14*k + a*k**3 - 4 + 11*k. Let v(m) = m**3 + 4*m - 4. Give 4*o(u) + 3*v(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 186539800 to the nearest one hundred thousand.\nAnswer: 186500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4308 divided by -1436.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82555 and 49612.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h + 17. Let q be x(-5). Suppose 91 + q = u. Is u a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - z**3 - 35 + 6*z**3)*(9*z + 19*z - 4*z).\nAnswer: 120*z**4 - 48*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24b88 - 3?\nAnswer: -24b8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y + 27 = -57. Let j(b) = b - 1. Let f(s) = -6*s + 3. Give y*j(z) + f(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**4 - 5*a**4 - 2*a**2 - a**3 + 4*a**4 + 2*a**3 + a**2 to z*a**3 + u*a**4 + g*a + o + k*a**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.541 + 1.34196. Let v = -0.5 - -0.3. Let o = b - v. Round o to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -30*u**3 - 9*u**2 + 15*u + 12. Let v be g(-6). Let n = -2387 + v. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggtgggttttgg. What is prob of picking 1 g and 1 t?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 3*h**4\/4 + 2*h**3 + 3*h**2\/2 - 2. Factor b(u).\nAnswer: 3*u*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4686 - (-1*20)\/5. Suppose -70*m + 75*m = d. Is (-4)\/(-8) + (-2 - m\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.237 + 0.537. Sort 0.4, w, -1\/4, -5 in descending order.\nAnswer: 0.4, w, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a minute in seconds?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 3*b - 4 = 7*m, -4*m = 5*b - 36 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13 - 2027*p**2 + 9*p**4 + 2027*p**2 with respect to p.\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3189245, 6378488, 9567731, 12756974, 15946217?\nAnswer: 19135460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11402301 (base 6) to base 3\nAnswer: 200012102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 5:28 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -101563*h**6\/60 - h**5\/12 - h**4\/6 - 262*h**2. Let p be y(-4). What is p rounded to the nearest 100000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 231*m - 6. Let i(p) = -62139*p + 1617. Give -539*a(x) - 2*i(x).\nAnswer: -231*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 47*k**2 - 443*k + 15. Let u be v(13). Let t(y) be the first derivative of 5\/3*y**3 + 15*y**u + 40*y + 40. Let t(i) = 0. Calculate i.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1. Let r be (1 - -9 - 7)\/1. Suppose m - y = -3*v, 0 = 5*v + 4*m - 0 + r. Calculate the smallest common multiple of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90*d**2 - 21*d**4 + 27*d**3 + 20*d**4 + 4*d**4 + 72 + 132*d.\nAnswer: 3*(d + 2)**3*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 87318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 9, 1, -2 in descending order.\nAnswer: 9, 1, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1\/2 (b) 9 (c) 95 (d) -3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y**3 - 61*y**2 - 9. Give h(-14).\nAnswer: 1755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 894591278 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -2*g - 8. Suppose g*m + 3*v + 6 = -m, -3*m - 1 = 2*v. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 4*u - 59 = -15*n, 23*n - 5*u = 14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 17326*r - 86586. Calculate q(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 75473164, 75473165, 75473166, 75473167, 75473168, 75473169?\n\"Answer: f + 75473163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 4.12, 0, 112?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*l + 537*l + 3*n - 47 = 0, -2*n - 14 = 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1531 + 37 - 4*v - 1616 + 9 + 39.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 18 = 6. Let m = 2 + c. Suppose -15 = -2*z - o, 16 + m = 2*z + 4*o. Solve 2*n - 26 = z*t, t + 2*n + 10 = 4*n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -162*v**2 - 55. Let n(m) = 174*m - 5. What is n(h(k))?\nAnswer: -28188*k**2 - 9575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97872\/7 - 1330968\/91. Suppose 4*v - 5*v + 5*p = -649, -3*p = -4*v + 2579. Let s = h + v. Which is bigger: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4390 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2048 + -2047.7. What is the fourth smallest value in -2, 0, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 12*t**2 - 3*t. Let g(s) = 2*s**3 + 12*s**2 - 4*s. Give 6*d(w) - 4*g(w).\nAnswer: -2*w**3 + 24*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130018*n**4 + 34*n**3 - 3*n**2 - 48754288*n wrt n.\nAnswer: -1560216*n**2 + 204*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - d**2 - 1. Let f be -3*(-5)\/((-75)\/15). Let w(a) = 5*a**3 + 5*a**2 - a + 2. Give f*t(z) - w(z).\nAnswer: -2*z**3 - 2*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007964929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -8. Let n = -2 + v. What is the second derivative of -n*x**4 + 4*x**4 + 5*x + 2*x**5 wrt x?\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25415908 a multiple of 1316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.658 + -0.442. Which is the second smallest value? (a) -2\/7 (b) 3\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from yyyyjyyyyyyiyyjj?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 523 + -489. What is the remainder when 132 is divided by a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*j + 4 = 0, -5*y - 2*j - 10 = 1. Does 5 divide (y + 2)*0 - -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3325593, 3325595, 3325597?\n\"Answer: 2*b + 3325591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18595076 and 170?\nAnswer: 92975380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 6:00 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*a**5 + 0 + (2*a**4 - 3 + 3)*(0 + 0 - 2*a)*(-6 + 1 + 0).\nAnswer: 22*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 10*a**2 + 11*a - 19. Let r be d(-8). What is the highest common factor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -199. Let a be 468\/o - 2*(-6)\/(-20). Solve 2*d + a = -c, -2*d - 3*d = 2*c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2521? (a) 1\/2 (b) -3 (c) 0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + -70591 + -3)*(1 + 0). Is (-189)\/(-45) + -5 + t\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30889829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 0*t - 8. Suppose 6*z - 22 - t = 0. What is the highest common divisor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109108 to the power of 1\/2, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 87137 to the power of 1\/2, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 300 + -612. Let q = o + 1207. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -213*l - 853. Let s be j(-4). Which is the closest to s? (a) -7 (b) 6\/11 (c) 0.1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 9 = 5*p - 7, -p + 2*o = 2. Suppose p*m + s - 657 = 0, -s = -3*m + 3*s + 1013. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 143093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/20 - 1)*470\/(-188).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 325530 and 1980?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (10 + (-1 - -2) - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14524 less than 14522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -10940000 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide -8*(-6)\/(-9)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**4\/6 - 459*c**3 + 3409*c**2\/2 - 3342*c. What is the first derivative of g(b) wrt b?\nAnswer: 4*b - 2754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 782649 (base 12) to base 6\nAnswer: 104552133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by -2.\nAnswer: -69\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -37?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17108 + 32961 = 32*k - 31475. Is k a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.68 in 1\/3, 0.02, 0, -12, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**8\/6720 - y**7\/630 + y**6\/120 + 7*y**5\/120 - y**4\/3 - 2*y. Let s(x) be the third derivative of u(x). Calculate s(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/6)\/(10\/(-30)). Let u = -36 - -28. What is the second biggest value in n, 0.2, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h - 7*h - h**2 + 16*h + 2 in the form n*h**2 + g + j*h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*v**2 - 1 + 0 + 1 + 134*v**2.\nAnswer: 160*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 71*s**8\/84 + 31*s**5\/6 - s**2 - 5. What is the third derivative of q(i) wrt i?\nAnswer: 17040*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-3 + (-301)\/(-98)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 3:26 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -9.4. Let a = 35194.399998 - 35194. Let k = a + t. Round k to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 352434942 to the nearest integer?\nAnswer: 18773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 - -10.93. Let a = p + -10. Let l be (0 - 1)\/(4 - 3). What is the closest to a in -5, l, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmommmojjooo. What is prob of picking 1 o, 1 j, and 2 m?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*i = -225*i + 41840. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 13. Let v be f(4). Let k be (-7 - v) + (829120 - -1). Suppose 0 = -j - h + 900004, 3*j + h - 1870881 = k. Round j to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 - ((-148)\/4 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.9098 millilitres to litres.\nAnswer: 0.0139098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 361 - 360.96. Sort 3\/2, 2, 5, z.\nAnswer: z, 3\/2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 13*o - 20. Suppose -v + 5*b = v - 33, -5*v + 40 = -4*b. Suppose g - 40 = -3*c, 3*c - o*g - 16 = v. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -3 - (104 + -1). Let j = a + 223. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/3*(-6)\/(-9). Suppose -18 = -x*g + 18. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - (11 - 9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/62 and -37\/24?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39, -49, -59, -69, -79?\n\"Answer: -10*s - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -338 + 252. Which is smaller: -515\/6 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 less than -534?\nAnswer: -897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.79 - -1.31. Let f = 38.1 - p. Let i = 30.15 - f. Round i to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 44 + 119 = 5*t, 2*r - 51 = -3*t. Let y = 45 - r. Suppose 0 = -3*u + 2*u + 5. What is the highest common divisor of u and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1252*0.03.\nAnswer: -37.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - -3 - 1 - 4. Let u(i) = o*i + 1 - 1 + 0. Let m(v) = 2*v**2. What is m(u(z))?\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/24 and 0 + 3 + -3 - (-61)\/(-20)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millimeter in micrometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 311 + -1 + 0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c - 4*c + 53*c - 6*c to i + j*c and give j.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 4*l = -24, 4*f - 5*l = 17 - 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 15 - 2\/3*h**3 - 3*h + 5\/4*h**4 - 2*h**2. Let u(d) = -4*d**3 + d**2 + 3*d + 2. Calculate -2*t(v) - 3*u(v).\nAnswer: 2*v**3 + v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 3*s = -15, -17*s + 21*s = 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/19 (b) -15\/2 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -0.288?\nAnswer: -0.288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f + f + 2*f + f. Let g = 25 + -15. Let b(c) = -2 + 2 + 0*c**2 + g*c**2. Determine j(b(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -13 - 13. Let n = -27 - v. Let f be (1 - (n + 3))*5. Let m(x) = x**3 + 4*x**2 - 6*x - 7. What is m(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4410954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -111.26.\nAnswer: 2.2252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 1533798.\nAnswer: 6135192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 8:27 AM?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98 + -134 + 46 - 26.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 373088203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*b*v**2*x + 11*b*v**2 + b*v*x + 13*b*v + 25*b*x**3 - v**2*x**3 + 3*v**2*x wrt v?\nAnswer: 34*b*x + 22*b - 2*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 216 + -211?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 32*i**2 - 36*i - 95. List the prime factors of z(-31).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2984 and -156.\nAnswer: 465504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - (-2 - 2\/2). Suppose -c = c - g. Solve 0 = -4*b - b + 2*s + 6, -14 = -2*b - c*s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*p**3 + 14*p + 21*p + 42*p**4 - 7*p**3 wrt p?\nAnswer: 504*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -20 + -58*3\/(-66)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + w + 2. Let v be (-1)\/2*1*0. Suppose v*a = a. What is the units digit of l(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67336 - -336683\/5. Suppose c*l**2 - 42\/5 - 3*l = 0. What is l?\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -101*c**3\/6 - 429*c**2\/2 - c - 116. List the prime factors of v(-5).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 3. Solve -f - r = -3*l, 5*l = f + 10 + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 26*x**2 + 11*x + 23. Let t be o(13). Suppose -t = -15*l - 4*l. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 4*j + 498 - 150, 2*w = -3*j + 178. What is the third derivative of 2 + 78*i**3 - w*i**3 + 4 - 5*i**4 + 3*i**2 wrt i?\nAnswer: -120*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7140)\/183 - (9330 + -9369).\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 12*p**3 + p**2 + 7*p + 9. Give f(3).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6310 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3377900 is divided by 307079?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21175523 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11, -2, -89 in ascending order.\nAnswer: -89, -11, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8521 and 0.2?\nAnswer: -0.17042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((-13 - 8) + 34 - -29)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 22*j**5\/15 - 4078*j**4\/3 + 2975246*j**3\/15 + 3540998*j**2\/15 + 36356*j = 0.\nAnswer: -1, -2\/11, 0, 183, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42417*y**2 + 10 - 7*y + 120*y**3 + 42417*y**2 wrt y?\nAnswer: 720*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - 26. Let b be j(15). Let m be 93514\/30 - (-4 + b). Let w = -3119 + m. Find the common denominator of -62\/3 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + f = 16*t + 1103, 0 = -303*f + 302*f - 3*t - 208 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*o = -159*o - 18. Suppose -12*q + 35 = -5*q. Solve c = o*c + q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-1) - (0 - 1). Which is bigger: 2\/5 or q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/81*6\/(-4). Put -2\/7, b, 0 in decreasing order.\nAnswer: b, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 32. Differentiate 6*c**2 - j*c**2 + c**2 - c**4 - 15 with respect to c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 0*t**6 + 16*t - 19\/42*t**7 + 0*t**2 + 0 + 0*t**4 + 0*t**5 - 3\/2*t**3. What is the second derivative of a(s) wrt s?\nAnswer: -380*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60750955 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1464\/5 - (5 + -2). Let o = -292 + x. Find the common denominator of -2 + 3 - (-52)\/(-6) and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10177, 9178, 6477, 1222, -7439, -20358, -38387, -62378?\n\"Answer: -142*u**3 + u**2 - 8*u + 10326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -27183080*t. Let r(j) = -16*j**2. Calculate r(y(x)).\nAnswer: -11822717412582400*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120021 - 11?\nAnswer: -120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -17. Let m = -4.4 - -4. Put o, m, -2 in increasing order.\nAnswer: -2, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 42. Let j = -558 + 609. What is the remainder when j is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.34531, -2, 1\/4, 1 in decreasing order.\nAnswer: 1, 1\/4, -0.34531, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1258, -6\/13, 2, 0, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/3920)\/((-4)\/(-176)*11)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -4*d + 62. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*l**2 + 27*l**2 - 20*l + 94*l to h + m*l + p*l**2 and give m.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/36630 and -67\/176.\nAnswer: 293040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 325823069?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -2303?\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317 = -12*f - 17. What is the lowest common multiple of ((-30)\/f)\/(7\/((-420)\/8)) and 66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 204 = 20*o. Suppose -6*t = 12*t + 7*t - 50. Put o, -10, t in increasing order.\nAnswer: -10, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15775701971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23028 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 419997097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 52830171 divided by -523071\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*a + 7 = 6, 5*u + 2*a - 29 = 0. Solve -2 = u*q + 5*m, 4*q - 77 = 3*m - 99 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-11 - (0 + 3 + -8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 12:20 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by 17\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 184 - ((1 - 1) + -2). Suppose x = 2*l + 3*n, -181 - 85 = -3*l + 2*n. Let i = -175293 + 175329. What is the highest common factor of l and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1539 + -20019\/13. Sort r, -2\/3, -0.5, -0.4 in increasing order.\nAnswer: r, -2\/3, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.11169, -0.5, 3\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*w - 141*w = -200. Let f be w\/(-50)*(-45)\/6. Let c be (2 + -5 - -15) + 12\/f. Solve -2*i = h + 4*h - c, 0 = 2*i + 4*h - 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -4.5, -16.9, 4 in ascending order.\nAnswer: -16.9, -4.5, 0.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5412\/(-27)*(-6)\/(-16). Let k = b + 75. What is the third smallest value in 15, 1, k?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**4 + s**4 - 2*s**4)*(5*s - 4*s + 0*s) - 2 - 3*s**5 + 2 + (-3*s**3 + 2*s**3 + 2*s**3)*(s**2 - s**2 - 2*s**2) - 2*s**5 + s**5 + 2*s**5.\nAnswer: -5*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -276 - -141. Let o = -135.266 - u. Round o to 2 decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 27*k - 31*k + 37 + 45, 2*k - 205 = -5*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 80515.\nAnswer: -18\/80515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q + 22. Let b be t(3). Suppose 35 + 17 = b*u. What is the remainder when u is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -25. Suppose -3*q + 4*x + 13 = 0, -2*q - 2*x + 3 = -a. Solve p - 2 = -s, q*p + 0 = -2*s + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1055.\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -54*2118387\nAnswer: -114392898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o = 75414 - 18567. Let r = o + 35141\/13. Which is smaller: r or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 - 22*y - 49. Let z be w(-5). Suppose 2*m + 471 - 120479 = -4*v, -m + 4*v = -59992. Suppose 14*j = z*j + m. Round j to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -292883 divided by -292883?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 543*w - 251*w - w**3 - 5*w**2 - 17*w**6 + 4*w**2 - 26*w**6 wrt w.\nAnswer: -5160*w**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -0.02 (c) 2 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 85 = 5*c, 2*f + c - 143 = -2*f. Let r be (-16)\/70 - (-15)\/f. Let o = -3 + -1. What is the third smallest value in r, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3346\/61, 1, -0.1 in increasing order.\nAnswer: -3346\/61, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kheoh. Give prob of picking 1 k and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(15 - 276\/18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65 (base 8) to base 9.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -131853659 and -131853662 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 + 3076\/5 - (7\/(-35))\/(-1) is divided by 206.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2. Let k(g) = -14*g - 41118. Determine k(z(b)).\nAnswer: 14*b**2 - 41118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39*d**3*r - 2*d**2 + 220*d + 25*r + 326 wrt d?\nAnswer: 117*d**2*r - 4*d + 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.2 + -22. Let v = p - -16. Let a = 0 + -0.1. Which is bigger: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599\/515 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -11.5. Let x = r + -8.8. Let t = -6.29768 - x. What is t rounded to 4 decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 82.5012mm?\nAnswer: 0.0000825012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 364 - 324 = 4*q, -2*h - 5*q = -50 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 210709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-3.074.\nAnswer: -18.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 23 + 4 = -5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/30 and 87\/130?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10571, 25780, 67063, 147458, 280003?\nAnswer: 477736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 49787770*y**2 + 123941002503045*y - 495764806616820.\nAnswer: 5*(y - 4)*(y + 4978779)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 197 = -5*l, 2*l = -606 + 592. Which is greater: r or -244?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-574))\/((-26)\/4*(-130)\/(-845))?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 9:02 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2059\/2 + -999. What is the common denominator of j and 7\/(-63)*(-91)\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o = -301*n + 19*o + 24*o - 301, 2*o + 3 = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(13) + sqrt(1872)*-3 + (4*-6*sqrt(468))**2 + 1.\nAnswer: -35*sqrt(13) + 269564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 0.7733?\nAnswer: -0.61864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 + -7 - (-1 + 1). Let s = -13 - -18. Suppose -1 = -s*d + 9. Solve 0 = -n*q - 5*h + 28, 4*q - 5 = d*h + 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-45 - -3)*(-2)\/(-6). Let x(j) = j**3 + j + 13. Let f be x(0). Let h = f + t. What is the smallest value in -1\/5, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 5*k**2 - 3*k - 1. Suppose -o - 9 = 4*u, u - 3*u = 2*o. Suppose -o*v + 1 = 16. Does 5 divide r(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 476 - 433.4. Let m = 43 - q. What is the smallest value in -1, m, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22609 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 10 = 2*m. Suppose -u = -5*o - 78 + 3, u = -4*o + 48. What is the remainder when 3*m\/(u\/(-212)) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.2 (b) -8\/7 (c) -5 (d) 51.8 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 6247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2623 - 2623.01. Sort 2\/5, -0.0202, -3, u.\nAnswer: -3, -0.0202, u, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 3:42 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -7 - 3\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7407*z + 2082. What is the ten thousands digit of s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d - 7*d + d + (d + 0*d + d)*(1 + 1 - 3) + 6 - 2*d - 30*d - 4.\nAnswer: -39*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-300)\/40*(-6)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/32 and 91\/3897484.\nAnswer: 31179872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s + 4*z = -91, 0 = 5*s + z - 371. Let t = s - 39. Find the common denominator of -99\/16 and (0 - (-58)\/t) + 0.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.812416 * 0.54\nAnswer: 0.43870464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*54\/288)\/(18\/28)*-12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2359*x - 8939 wrt x?\nAnswer: -2359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276 and 3772874.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {h: 4, d: 1, u: 1, f: 1, w: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86594?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*s - 8. Let v be (-12)\/8 + (-17)\/(-14). Are v and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -64500332.\nAnswer: -64500331.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6741 and 23219.\nAnswer: 208971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from {e: 2, f: 1, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578762024 to the power of 1\/2, to the nearest integer?\nAnswer: 50782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5582174911697 + 173\nAnswer: -5582174911524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -1\/10*l**5 + 0 + 0*l**3 + 0*l + 0*l**4 + 11*l**2. Let t(m) = -2*m**2. Calculate d(t(n)).\nAnswer: -24*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -3*v**5\/100 - 3*v**4\/20 - v**3\/5 + 9*v. Suppose z(s) = 0. What is s?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*d + 2*w + 4, 3*w = 5*d - 13. Solve -d*g = -3*p + 5 + 22, -4*p = -3*g - 25 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-44))\/(1113\/(-212)*1\/(-21)).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 17*x**2 - 11*x - 5. Suppose 5*t + y + 22 - 54 = 0, t + 23 = 4*y. Let w(d) = 25*d**2 - 16*d - 7. Calculate t*w(g) - 7*a(g).\nAnswer: 6*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 = 0, -2*j = -b - 0*j - 6. Suppose 12 = -b*h + h. What is the units digit of (-6)\/(-4)*h\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*x - 21*x - 15511854 + 15497070 = 0 for x.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kia. What is prob of picking 1 i and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 10*f = -60, -2*b + f - 14047 = -14056 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewwewwewwwwwweweew. Give prob of sequence wew.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**3 - 37*g**2 - 14*g + 39. What is the smallest common multiple of q(19) and 18?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 822*o**2 - 82438*o + 186622742 wrt o.\nAnswer: 1644*o - 82438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 65*c - 23. Let q(m) = -67*m + 27. What is 5*q(l) + 6*t(l)?\nAnswer: 55*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -680 by -5.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + j - 3)*(-2*j + 0*j + j) + 8 - 8 - 2*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3a71 (base 15) to base 4\nAnswer: -3003001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.731 - 0.431. What is the smallest value in -0.3, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22000100222012222 + 0?\nAnswer: -22000100222012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9.6, -32\/11, -3?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/13 - 1 - (-300)\/78.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**4\/8 - l**3\/3 + 6*l**2. Let h(a) = -16*a - 11. Let w(d) = -11*c(d) + 2*h(d). Let f(x) = 3 - 3 + x. What is f(w(v))?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/2)\/(-8) - (-22)\/8. Suppose x*w + 36 = 12*w. Let f(v) = v - 3. Let d be f(6). Solve -3*h - 2 + 4 = -2*g, d*h - 32 = -w*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.605991 - 0.004629. Let v = 0.61 + y. What is v rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19710 and 886950?\nAnswer: 886950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -17*a - 13. Let n(d) = -8*d - 7. Let y(g) = 13*n(g) - 6*w(g). Let p be y(-9). What is the closest to -1\/3 in p, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1532 and 2681.\nAnswer: 10724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/25 (b) 0 (c) -3\/5 (d) 49 (e) 2\/427 (f) -2 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(15\/(-45))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6709?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - l + 15 = -3*o, 5*o = 2*l - 19 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(-1\/31))**(-5\/3) assuming f is positive.\nAnswer: f**(-5\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 8*g**2 - 5*g - 13. Let s be o(7). Which is the nearest to s? (a) 34 (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**8\/7840 + i**7\/4410 + i**6\/840 - i**5\/210 - 5*i**4\/12 + i. Let a(m) be the third derivative of d(m). Factor a(t).\nAnswer: -2*(t - 1)*(t + 1)*(3*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t - t + (2 - 2 + 1)*(-2 + 2 - 2*t) + t - 1 + 1 + 1 - 1 + 2*t + 2*t + t - t)*(-5 + 1 + 3)*(-4*t**2 + 5*t**2 - 2*t**2).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*d = 112*d - 190*d. Suppose t = 3*t + 10. Does 17 divide (d - t)*(1314\/30 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**2\/2 - 85*w\/4 - 45\/4 = 0.\nAnswer: -1\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*d - 746 = 0, 0 = 5*x - 2*d - 4428 + 724. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 498989 to the power of 1\/2, to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.36 - 7.359354. Round r to 5 dps.\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-10) - (-68)\/70. Let p = 0.26 + 2.74. Which is the smallest value? (a) p (b) 2\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*p - 12. Let x(k) = k**3 + 9*k**2 - 3*k - 16. Is x(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-1)\/(-4)*-10. Suppose 5*p + d + 55 = -z, 0 = -2*p - 4*z - 24. Is (-4)\/(-10)*(-2220)\/p a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Suppose o - l*o + 11 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14184 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (1 - -1)\/(20\/30). Let l = t - -46. What is the lowest common multiple of l and 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1253807637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -1918290935.218.\nAnswer: -1918290932.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-11 - 1050\/(-98))\/(8\/10))\/(30\/(-63)). Factor 0 - 10*w**3 + a*w**4 + 0*w - 7*w**2.\nAnswer: w**2*(w - 14)*(3*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(-56) - (-3)\/(-24)*-112471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -5.1. Let p = 49 + -195\/4. What is the closest to k in -4, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60443*y + 181229*y - 60344*y - 2 - 60351*y.\nAnswer: 91*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2280 (base 11) in base 16?\nAnswer: -bb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1018080 to the nearest 10000.\nAnswer: -1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 818563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*l - 8*l - 3*l - 73 in the form k + f*l and give k.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 5*i**4\/12 - 4*i**2 - 4*i. Find the first derivative of g(h) wrt h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4710?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.041, -32569, 0.1, 11 in increasing order.\nAnswer: -32569, -0.041, 0.1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 11:04 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 15*p**2 - 20*p - 12. Let f be s(12). Suppose 0 = 5*c - 8025 - f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -382, -760, -1160, -1594, -2074, -2612?\n\"Answer: -2*v**3 + v**2 - 367*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 3059.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - -4 - 27) + (-20 - -3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 0.4 (b) 15\/2 (c) 133 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 540?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - 5*j**2 - 5*j**2 + (3*j + 2*j - 3*j)*(-j - j + j) + 0 + 0 - 3*j**2 + (-1 + 1 + 1)*(0 + 0 - 3*j**2).\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 13*t - 22. Let r be u(3). Suppose -2*w = -2*o + 3*w + 19, 4*w + 8 = -2*o. What is the tens digit of 74\/o + (r - 13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 3*d**2 - 11*d + 6. Calculate s(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 211848893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = 5*b + 65. Suppose 846 = -5*v - 2*c + 303, v + b*c = -104. Let y = 200 + v. What are the prime factors of y?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*l**2\/7 - 34064*l\/7 + 12384\/7.\nAnswer: 2*(l - 1548)*(11*l - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 794024 divided by -77?\nAnswer: -10312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffrffrfrfffrfrrr. Give prob of picking 3 f.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**3\/2 + 123*u**2\/2 + 753*u - 3900 = 0.\nAnswer: -13, 4, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1633*g - 29591 = 6542 + 6325 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1629 is divided by 234?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.32 to 0 dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -59484709, -118969421, -178454133, -237938845?\n\"Answer: -59484712*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -1. Let o(x) = 3*x**2 - 3*x**2 - w*x**2. Let b(u) = 21*u**2 - 210*u + 14. Let j(h) = 4*h**2 - 45*h + 3. Let q(d) = 3*b(d) - 14*j(d). Give q(o(m)).\nAnswer: 63*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5653078 divided by 7229\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*d + 4598 = -45*d. Let v = 8 + 11. Calculate the highest common factor of v and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 n when four letters picked without replacement from ffeeefefen?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35812, 71711, 107744, 143977, 180476, 217307, 254536, 292229?\nAnswer: 330452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 5:18 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4 - 16*q**3 - 114*q**2 - 200*q - 104 = 0. Calculate q.\nAnswer: -2, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1034 and 160.\nAnswer: -165440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 2:03 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24646563?\nAnswer: 3, 2738507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 6*d**2 - 11*d + 1. Give c(-8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 390*m**3*u + m**3 + 33266*m**2*u wrt m?\nAnswer: 2340*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l**4 - 2*l**4 - 3*l**4)*(-19 - 9 - 7).\nAnswer: -70*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 191 - 252. Let c(p) = 64*p**3 - p**2 + p - 1. Let l be c(1). Let z = w + l. Which is smaller: -13 or z?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-72)\/16 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/2))**21*(k*k**(-1))**4*((k*k**(-2\/5)*k)**(1\/31))**17 assuming k is positive.\nAnswer: k**(3527\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 0 = 24. Let s(c) be the second derivative of 0*c**2 - 1\/4*c**w + 0*c**3 - c + 0. Let y(u) = 2*u**2. Calculate s(y(g)).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86943*a**2 + 43492*a**2 + 43500*a**2 - 108*a to the form r*a**2 + p + g*a and give r.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**5\/6 + d**4\/8 + 10*d**2 + 730. Let c = -53 - 3. Let k(j) = 189*j**2 - 56*j. Give c*v(u) - 3*k(u).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0 - 1. Is (1012\/(-12))\/(q\/(-3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/24 + (-6)\/(-8))*4. Let p(z) = -c*z - 41 + 72 + z - 34. Let v(a) = -3*a - 7. Give 10*p(x) - 4*v(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k - 8. Let h be p(6). Let u be (-2)\/((h\/(-12))\/4). Let g(j) = -31*j - 2. Let x be g(u). What is the highest common factor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/5*(-6)\/(36\/255). Suppose -w + 45 = d. What is the remainder when (7\/3)\/((-2)\/(-30)) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**4\/24 + 11*u**3\/3 - 23*u**2\/2 + 15*u. Let x(w) be the first derivative of b(w). Differentiate x(n) with respect to n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y + 200. Suppose 2*s - y = 5*z, -2*s = 4*z - 2*z + 6. Is 3 a factor of ((-6)\/(-7))\/(z\/(-56))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 231 and -1072473.\nAnswer: -1072242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*((-51)\/(14076\/(-8)))\/((-42)\/(-63))\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -10 - 6. Suppose -m*j = a - 99, 0 = -2*j + 2*a + 59 - 17. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/(((-27)\/(-1434))\/9). Suppose -38*d + 65 = -g. Solve 0 = -d*o + 15 + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 401*s - 807. Calculate c(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k - 34*k + 1068763 = 20*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280 and 120344.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.2 (b) 0.3 (c) -4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0121 - -0.4121. What is the closest to 7\/2 in 0, 1\/5, i, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**6 - 72*d**3 + 76*d**2.\nAnswer: 240*d**3 - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (-56 - -26) - (25 + -1 + 1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22553, -22551, -22549?\n\"Answer: 2*n - 22555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -0.4 (c) 4040\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 264*w - 267*w - 7, 0 = -0*w + w - 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000619844 rounded to 6 dps?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 9*f = -12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**2\/5 + 216*x\/5 + 5832\/5 = 0.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/7 - (-8)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 3*s - 9*s + 18 = -4*s, 0 = v + 10*s - 66 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -8*x + 42647, -x - 9 = -8. What is the highest common divisor of 19 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/303966 and -17\/35073.\nAnswer: 911898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a - 5. Let m be b(6). Let u = m - 9. Solve -4*v - 35 = -5*s - 8*v, 0 = u*s + 4*v - 32 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97 + -97. Suppose -14*j = -28 - v. Calculate the smallest common multiple of 94 and j.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3258 - -3258.3. Let j = 0 + 0. Let h = j - 0.2. Put b, -0.5, h in descending order.\nAnswer: b, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*(-6)\/2*1\/(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -37410, 5, 0.045, 4?\nAnswer: -37410","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z - 103. What is t(-10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -2 - (1 - -1)) + (-22741 - -22756).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**6\/360 + n**5\/180 - n**4\/36 + 4*n**2 - 7. Let f(x) be the second derivative of h(x). Factor f(s).\nAnswer: s*(s - 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*j - 4, 0 = b + 5*j + 25 - 1. Let i be 5 - 0 - b - 1. What is the third derivative of -11*c**2 - i*c**5 + 14*c**2 + 10*c**2 wrt c?\nAnswer: -480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 761*u - 625. Let l(z) = -751*z + 623. Let m(k) = 7*l(k) + 6*n(k). What is the first derivative of m(b) wrt b?\nAnswer: -691","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(726)*2)\/(sqrt(392)*1 - sqrt(392) - sqrt(1152)*-1).\nAnswer: 55*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 78989, 157976, 236963?\n\"Answer: 78987*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = 3*c, 2*b - c - 5 + 1 = 0. Find n such that n**2 - 3*n**b - 2*n**2 + n = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -30 + 10 + (15 - 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1721 + -1724 - ((13 - 7) + -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -58343558 divided by 4487966\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14506210\/13 or 1115861?\nAnswer: 1115861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/7 + 102\/210)*(99 + 17038\/(-172)).\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -1 + 1\/27*s**4 + 1\/45*s**6 + 0*s + 1\/54*s**3 + 11\/270*s**5 + 1\/210*s**7 - 9*s**2. Suppose w(r) = 0. Calculate r.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1720\/3? (a) -3 (b) 0.4 (c) -4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 1\/20*m**5 - 13*m**3 - 20*m**2 + 0*m + 0 + 7\/24*m**4. Differentiate u(l) wrt l.\nAnswer: 6*l + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 38*k**3 + 8*k**2 + 18*k - 2. Determine s(-2).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbb when three letters picked without replacement from {b: 15, q: 4}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*r**2 - 16*r + 11*r - 19*r)*(22*r - 5*r - 6*r**2 + 4*r**2).\nAnswer: -42*r**4 + 405*r**3 - 408*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2072 - -1420. Let y be (-142)\/497 + (0 - x\/126). Do y and 5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1186 = 3*i + 1054 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**5\/5 - q**4\/6 + 32*q. Let y(o) = 9*o**3 - 5*o**2. What is 10*b(k) - 4*y(k)?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*k + 2*k**2 + 2 + k**5 + 4*k**3 - 11*k - 4*k - 4*k**4.\nAnswer: (k - 2)*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + n + 0 - 1 + n + 1 + (1 - 1 - 1)*(3 - 3 - 2*n) - 2*n + 6*n - 2*n - 17 + 74 + 188*n - 63.\nAnswer: 194*n - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + i + 1 = 0, 0*i + 25 = 4*z + 3*i. Suppose -5*y + 1096 + 561 = d, 0 = z*y + d - 1326. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01908115895 rounded to 4 decimal places?\nAnswer: -0.0191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*x + 192 + 138 = 0, 4*x = 0. Let y be 33*z\/9*-1. Let s = -47 - -69. What is the highest common factor of s and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*f + 2*i + 70, 28 = -3*f + 7*f + i for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575739 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -49*f**3 + 4*f**2 - 5*f + 4. What is n(1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2400)\/(-140))\/120)\/(124\/(-14)).\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*y + 3*y + 11, 3*y + 5*b = -33. Let x = -10 - y. Let f(q) = 16*q**3 - 2*q + 1. Let i be f(x). Solve -4*z - 7 = -i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (48*i + 29*i - 22*i + (1 - i - 1)*(4 - 3 + 1))*(3*i**2 + 2 - 2) to the form q*i + l + s*i**2 + x*i**3 and give x.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.20378937*3\nAnswer: -0.61136811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -85769.\nAnswer: -3\/85769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26321?\nAnswer: 26321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*c**3 + 30*c**3 + 38*c**3 - 155*c**3 + 38*c**3.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 + 6*g - 1. Let k(q) = -q**2. Give -3*k(f) - l(f).\nAnswer: -f**2 - 6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 74992064 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -252 or -264?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z - 1. Let g(p) be the second derivative of -8*p + 1\/2*p**2 + 11\/6*p**3 + 3. What is 3*g(l) + 5*r(l)?\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 4*h**2 - h - 5. Let m be q(-4). Let u(z) = -7*z**3 - 2*z**2 + 1. Give u(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.06, -0.1, -4, -0.5, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 265797157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 10:50 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3683072 is divided by 636.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 18, -4, -9, 2 in increasing order.\nAnswer: -81, -9, -4, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -516.293 + 514.1. Let s = f - -2.183. Let n be 11\/12 + (-2)\/3. Which is the second smallest value? (a) n (b) -1 (c) s (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + -5*sqrt(612) - sqrt(612))\/sqrt(12))\/(sqrt(162)\/sqrt(6))*-5.\nAnswer: 25*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0365 - 0.0025. Which is the third biggest value? (a) o (b) 1\/6 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 385*a + 9105 - 9105 as f*a + t and give f.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 - -409\/4. Let n be -3 + 3 + 3478\/(-18). Let p = n - -193. Put -0.2, w, p in descending order.\nAnswer: -0.2, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(121)*2)\/(-1*sqrt(44)\/sqrt(4)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 + h + 1. What is l(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 20833323.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.8 and 17275?\nAnswer: 17272.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-11 - -2)\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k - 16*k = -593 + 467 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12720811.\nAnswer: 17, 748283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*p**3\/4 - 1695389*p**2\/2.\nAnswer: p**2*(9*p - 3390778)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/4, -11, 3, 381?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.9, 4.2, 702, -0.6 in decreasing order.\nAnswer: 702, 4.2, 2.9, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 58ce?\nAnswer: 58c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25950*x**3 - 26*x**2 + 21*x - 2.\nAnswer: 155700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**4 + 3*v + 0*v + 66 + 10*v**2 - 5*v - 68 to the form i + f*v**4 + a*v + l*v**2 + z*v**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2032637041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5719 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 303408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*w - 2997 - 1683 = 0 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 11:43 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-33))**47*(q**(-5\/9))**(-26) assuming q is positive.\nAnswer: q**(-13829\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15112865 is divided by 36329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13001 (base 4) in base 15?\nAnswer: -1ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-12)\/p**5)**(1\/6))**20)**3 assuming p is positive.\nAnswer: p**(-170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s. Let k(p) = 4*p**3 - 117*p**2 - 87*p - 92. Let x be k(30). Let r(h) = 4*h + 21. What is x*o(g) + r(g)?\nAnswer: 2*g + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2111 (base 8) to base 5.\nAnswer: -13342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -510*0.1\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/14)\/((-1)\/182). Let j = -41 + l. What is the remainder when j is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7279 by 6.\nAnswer: 7279\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7989.445 litres?\nAnswer: 7989445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1110 * 5177\nAnswer: -5746470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2133 (base 8) to base 10.\nAnswer: -1115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14042 (base 6) to base 11\nAnswer: -1708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, u: 10}. What is prob of picking 2 u?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/136 and -139\/6?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/23)\/p**(-5\/3))**(5\/2))**(2\/23) assuming p is positive.\nAnswer: p**(605\/1587)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1377987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 590 + -398. Calculate the highest common divisor of 108 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-28) + ((-6)\/24)\/((-21)\/13248). Solve -53*r - d = 54 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 4*c = 25, -8483*r + 8488*r - 15 = 2*c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u - 84 = -3*z, 3*z + 126*u - 27 = 249*u - 120*u for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/3)\/(-1) - 6. Let s(f) = f + f - 3 - 4*f. Determine s(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 1797\/50. Let i(g) be the second derivative of 0*g**3 + z*g**5 + 0 - 1\/15*g**6 + 3*g + 1\/15*g**4 + 0*g**2. Suppose i(h) = 0. What is h?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*n - 150. Let g(t) = t**4 - t + 1. Let f(r) = 35*r**4 - 5*r**3 - 15*r**2 - 5*r + 20. Let b(p) = n*g(p) + f(p). Find j such that b(j) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -477803723, -477803725, -477803727?\nAnswer: -477803729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -1 (c) -5084 (d) -2 (e) -2\/65 (f) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64725.021 + -64697. Let d = b - 28. What is d rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0043 + 0.34986.\nAnswer: 0.34556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -13*x + 2. Let q(s) = 38*s - 6. Give 10*i(t) + 3*q(t).\nAnswer: -16*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + 2 - (-284 + 323)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from hhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798*w + 73098 = -488*w - 1982*w - 686*w for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 2\/3, -2910, -3, -0.4 in descending order.\nAnswer: 3\/4, 2\/3, -0.4, -3, -2910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8048 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1806 divided by 6\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20823474 and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, x: 15}. Give prob of sequence rrrr.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*u - 132 = -4*w, -u = -2*w + 69. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021334834 rounded to 4 decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6218, 49067, 165382, 391895, 765338?\n\"Answer: 6122*j**3 + j**2 - 8*j + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/8 - (-57)\/36)\/((-160)\/(-360)). Suppose -3*a + 1 = -5. Sort a, -1, -35, k in descending order.\nAnswer: k, a, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*z - 77*z - 6 = -4*v, -4*v + 4 = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(16) + sqrt(16) + sqrt(112)\/(sqrt(21)\/sqrt(3)))\/((sqrt(8) + sqrt(288))*-6)*3)**2.\nAnswer: -15*sqrt(2)\/7 + 2459\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 n when four letters picked without replacement from {f: 4, n: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33713995, 67427995, 101141997, 134856001, 168570007, 202284015?\nAnswer: 235998025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395402, -1581532, -3558416, -6326054, -9884446, -14233592, -19373492?\nAnswer: -25304146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -n - 2*l - l, -4*n + 421 = -5*l. Is 106 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277122 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120427 is divided by 345.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-2)\/(-25) - (-11)\/(1650\/8388) and 235\/(2 - -3) - 2\/(-2).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7036874*d*u**3*v**3 - 2*d*v**3 - u**3*v + 3*u**3 - 6369*u*v**3 + 27*u*v**2 + v**2 with respect to d.\nAnswer: -7036874*u**3*v**3 - 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1698, -5175, -10446, -17511, -26370, -37023?\n\"Answer: -897*x**2 - 786*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*(2 + (2 + sqrt(147) + 4)*-6))**2.\nAnswer: 411264*sqrt(3) + 928512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1242323 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*s - 17. Let l = -6 + s. What is the units digit of l\/(-2)*(0 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*i - 2*a + 1364, 0 = a + 4. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 6:55 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-130)\/39 - (-2)\/(-3) - -5882. Suppose 5291 = 17*w - b. Does 38 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34036*i - 68074*i + 34036*i - 2*l = -32, -4*l + 84 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c + 10. Let u be b(4). Suppose d - 68 = u*d. What is the lowest common multiple of d\/(-8) + (-4)\/8 and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 9966 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 4:10 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -474.\nAnswer: 4\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*v + 1604 + 1236 + 5827 = 0 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 100931900 to the nearest one million.\nAnswer: 101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.20521 millilitres in litres?\nAnswer: 0.07320521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x - 6. Let l(c) = c**2 - 5*c + 2. Let o be l(6). Let s be b(o). Let j be (s\/(-15))\/(9\/(-30)). Solve j*h = -1 + 21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564009?\nAnswer: 3, 17, 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 - -101. Let c(y) = y**2 - 2*y + 20 - 6 + y**2 + f*y**2. Let j be c(0). Solve z = -2*o + j, 0 = -3*o - 0*o + z + 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 435\/(-950) - (2265\/95 + -24)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-15))\/(((-160)\/(-150))\/(-8))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**6 - 109*b**5 + b**2 - 4.\nAnswer: 360*b**3 - 6540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t + 12*t + 5*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-3*s - 2 + 0 + s)*(-7 + 3 - 6 + (2 - 1 - 2)*(2 - 3 + 8)).\nAnswer: -68*s - 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 605, 600, 595, 590?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/190 and 83\/190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t + 12 - 2 - 3 + 1 - 14.\nAnswer: -8*t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - 1 + 1 + (0*y + y + 0*y)*(5 - 3 - 1) + 4*y - y - y + 8*y + 12*y + 0*y.\nAnswer: 25*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(3*sqrt(144)))\/(sqrt(15)\/sqrt(5)*2 + sqrt(12)\/sqrt(4)*-4).\nAnswer: -sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 219 and -0.5?\nAnswer: -109.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -r - r - 3, 5*r = -p - 1. What is the hundreds digit of (495\/(-6) - r)*(-100)\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -654689, -654687, -654685, -654683, -654681, -654679?\n\"Answer: 2*b - 654691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v**2. Let m(n) = 21*n - 86. Give t(m(c)).\nAnswer: -2205*c**2 + 18060*c - 36980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*j - 21 = -v, 4*j = -12. Let y = 6 - 4. Solve -y*g + 5*g = -v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -3. Let z be (8\/78)\/(20\/(-192)). Let u = z + 5\/13. What is the smallest value in u, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**2*o*r**2 + h**2*o*r + 11*h**2*r**2 - 6*h**2 + h*o*r**2 wrt o?\nAnswer: -h**2*r**2 + h**2*r + h*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -9. Suppose 0 = k - 6 + f. Let m be (-2)\/(-4) + 94\/k. What is the highest common factor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 275317?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 33456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 17. Let n = z + 18. Suppose -3*s - 2 = n. Let v(d) = 4*d - 1. Let g(k) = 7*k - 2. Give s*v(f) + 3*g(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*u + 1, -5*g - 2*u - 1 + 8 = 0. Let o = g - 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36415.\nAnswer: 5, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + sqrt(11) + sqrt(176) + -4)**2 - (-5 + -1*(-2 + sqrt(11) + sqrt(66)\/sqrt(6))).\nAnswer: 12*sqrt(11) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 10*f**2 + 8*f - 11. Let u(p) = p**3 - 9*p**2 - p. Let l be u(9). Determine q(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020954 to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99780970*m**2 + m - 53537109 wrt m.\nAnswer: -199561940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 2\/11, 9.7, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 469\/(-201)*(-36)\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1012100 - -3010201?\nAnswer: 10022301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194817 is divided by 1020.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331 (base 6) to base 4.\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vojj when four letters picked without replacement from {v: 4, j: 2, o: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 7 + 3. Let c = 21 - 17. Solve -1 = 3*o + x*q, 2*q - c = -2*o + 4*q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21181 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/2 - (-1)\/2. Suppose 0 = -q*y - 4*l + l + 21, l = 3. Solve 0 = 4*g - 3*g - v - 2, g - y*v = 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(80\/12))\/((-135)\/36)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l - 6. Let u(i) = 4*i + 9. Determine -8*j(k) - 5*u(k).\nAnswer: 4*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 26. Let t(k) = 11*k. Determine g(t(s)).\nAnswer: 11*s - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + 2*sqrt(1539)).\nAnswer: 6 + 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 7 - 3*x - 2*x + 3*x. Let y be d(-9). Suppose y = f + f. Sort 4, -4, f in ascending order.\nAnswer: -4, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.683387 minutes to nanoseconds.\nAnswer: 281003220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/8, -1\/6, 51\/4, 3\/4, 1 in decreasing order.\nAnswer: 51\/4, 1, 3\/4, 3\/8, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 19*l - 6. Let r be x(13). Suppose 72 = w + r. Solve 6*k + 19 - 7 = w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y**2 - y. Determine b(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -179 - -255. Suppose -4*f = 3*a - 309, 0*f + k = f + 2*a. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 7*a - 9 = -6*a, -a = -w + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1936*k - 1867*k - 3644580. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 3 (c) 0.3 (d) -355 (e) -5.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 0*c**2 + 4 + 3*c**2 + 2*c - 2*c**2. Calculate the remainder when (1 - 20\/12) + 904\/24 is divided by k(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -20 - (-32 - -52 - 29).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1398, -3 in decreasing order.\nAnswer: 1, -3, -1398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 2, -9856?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -748 + -27036?\nAnswer: -27784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -88 - -316. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534162 is divided by 880.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -503\/2867 + 12\/61. Suppose -2*k = 33*k - 8*k. Which is smaller: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -73 and -0.55.\nAnswer: 40.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -802*l**3 - 2*l**2 - 10*l. Let q(t) = 805*t**3 + t**2 + 7*t. Give 2*f(r) + 3*q(r).\nAnswer: 811*r**3 - r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iciiiqqixffqii. Give prob of picking 1 c and 3 q.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 68.1 times -5.56\nAnswer: -378.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 4*n - 4. Determine s(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -3*k + 13, 7*d + d - 24*d - k + 37 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u + 3*u)*(17*u**2 + 37*u**2 + 19*u - 46*u**2).\nAnswer: 32*u**3 + 76*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*l - 35, l - 4 - 5 = 3*i. Solve -q + 19 = 5*r, -2*q - 7 = -l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 f when four letters picked without replacement from {p: 5, s: 2, f: 4}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 5, 3, -1 in decreasing order.\nAnswer: 15, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ac084d + -23?\nAnswer: ac082a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/192)\/(5566\/176 - 32)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -261 divided by 3?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - -114 - (-4)\/16*-8. Let u(m) be the third derivative of m**4\/12 - 2*m**3\/3 + m**2. Let s be u(9). Calculate the greatest common divisor of o and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 2*n**3\/3 - 2*n**2 + 19*n + 7. Let t be u(11). Suppose -3*f + t + 20 = 0. What are the prime factors of f?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639983 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 280*n**4 + 1606*n - 2789087 wrt n.\nAnswer: 1120*n**3 + 1606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a28 (base 12) to base 14.\nAnswer: 4d32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.464665 rounded to three dps?\nAnswer: 1.465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/1090 and 12\/327763?\nAnswer: 3277630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = -227 + 689. Suppose 5*o + 108 = 38. Let d = o - v. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 19 - 2 = -s, -22 = -q + 5*s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 1081 + 1071. Solve 2*q = a*w + 2, 2*w + q + 4*q = -24 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -627, -587, -523, -435, -323, -187?\n\"Answer: 12*x**2 + 4*x - 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1618533 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 15*t**2 + 100*t - 5. Give m(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/(836\/(-165)))\/((-1)\/(-1)*9\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {n: 1, q: 2, m: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.357 - 0.427. Sort -4, -2, m, -1 in decreasing order.\nAnswer: m, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-26))**(-11) assuming h is positive.\nAnswer: h**286","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 - 176. Let w = 97 + h. Let s(v) = 3*v + 3*v + v**2 + 6*v - 3 - 7*v. Determine s(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.435 - -1.565. What is the third biggest value in n, -3, -0.1, -0.5, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1964 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - ((-3)\/(-5))\/(15\/(-75)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -1d03?\nAnswer: -1d00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 51.92 + 16831.186\nAnswer: 16883.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 794 - 799. Let v be (-18)\/(-42) + (-8)\/(-14). Suppose n = 2*n + 6. Sort v, n, 3, l in decreasing order.\nAnswer: 3, v, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/(-34)*(-3)\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 9*g**2 + 15*g + 41. Give m(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 31. Calculate the lowest common multiple of 36 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 68419*b**3 - 68425*b**3 + 136854*b**3 - 35.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2 = 2*i. Suppose -3*m + 10 = 2*o, 3*o - 4*o = 4. What is the smallest common multiple of i and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 357, 339, 355, 423, 561, 787?\nAnswer: 1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23917 + -29396. Is -5479 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/12 + w**2. Let c(k) = k**2 + k - 1. Let p(x) = 8*x**2 + 6*x - 6. Let i(u) = -12*c(u) + 2*p(u). Calculate s(i(g)).\nAnswer: 80*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3, -10, -21, -36?\n\"Answer: -2*v**2 - v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 r when four letters picked without replacement from bborbrrkrbrlopblrb.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -2\/13 (c) -18 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -180*w**4 - 38416*w**3 + 3371456*w**2\/5 - 13847232*w\/5 - 649152 = 0.\nAnswer: -230, -2\/9, 42\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-333)\/(-185)*55\/297.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3.7935 * 3\nAnswer: -11.3805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from teefevfefeee?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -10 + -2 + 16 + -16\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 7 + -14 + -34\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 10:46 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 50\/(-15)) + -7. Let k = 67.6 + -61. Let f = -7 + k. Put p, f, 7 in descending order.\nAnswer: 7, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/40 and 7\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 1:09 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 10*c**2 - 9*c + 2. Let d be o(-11). Let a(l) = 4*l + 6. Let j be a(-5). Let y = j - d. Solve -y = -5*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 2:34 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 10 - 7. Solve -o*l = -8*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 2*s**2 + 3*s + 19. Let p be m(4). Is 378599\/26*p\/(3\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, a: 8}. Give prob of sequence tata.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61 and 70533751?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 7 = 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 89\/2051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -168*j**4 + 7*j**3 + 7*j**2 - 7*j. Let p(i) = 167*i**4 - 6*i**3 - 8*i**2 + 6*i. Let u(s) = 7*p(s) + 6*r(s). Find the third derivative of u(n) wrt n.\nAnswer: 3864*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -3, 0, 5, -4 in increasing order.\nAnswer: -51, -4, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 1\/5, 0.96, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 4:40 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74 by 12.\nAnswer: 37\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 80, 2.33, 0.143?\nAnswer: 0.143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125647334?\nAnswer: 2, 62823667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15946432?\nAnswer: 2, 193, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1268, -4, 1 in descending order.\nAnswer: 1268, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -385 + o + 1126 - 375 - 386 - 15*o**3 in the form u*o**3 + j*o + c + h*o**2 and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3788.\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 10609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12824964751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*a = -60. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -10a96?\nAnswer: 10a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/40954127 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.286 (b) -0.1 (c) 11 (d) -4 (e) -0.3 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000946113 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3*(-552)\/(-16). Let d = 119\/5 + z. What is the smallest value in -1\/6, d, 2\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -49*q**3 + 8*q**2 + 417*q + 1235. Give w(-3).\nAnswer: 1379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5469 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2642*b**3*m**2 - b**3 - 60815*b**2*m - 17*b*m + m**3 wrt m.\nAnswer: -5284*b**3 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j + 8*j = -14. Let r(l) = -13*l**2 - 5*l + 4. Let w(y) = -27*y**2 - 9*y + 7. Let z(x) = 5*r(x) - 3*w(x). Determine z(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103356 = 7124*j - 75622 - 11383 + 5137 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120022121021 (base 3) in base 7?\nAnswer: -10036306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9620 + 9667. Calculate the remainder when 249 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 + (8 - 12 - -8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, 2\/3, -2\/7, 123 in descending order.\nAnswer: 123, 2\/3, -0.1, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 236 - 0?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -6830.185 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/14)\/((-12)\/756*3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 8*g - 1. Let n(s) = -2*s**2 - 1 - 2 + s**2 + 7*s. Let v be n(5). Is h(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42940.6455 rounded to the nearest one thousand?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 23*i + 22. Let v be n(-23). Suppose -67012 = -v*r + 20262. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30.5 + 21.4. Let z = d - -3.1. Let l = z - -6.00000047. Round l to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 22. Let g = 7.033 - u. Let v = -0.03299953 + g. What is v rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115 - -276. Suppose 6*x - i = 301. What is the highest common divisor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(300)*-3)**2 + -4 - (sqrt(36)\/(sqrt(3) - 2*sqrt(3)) - sqrt(12))\/sqrt(4)*6.\nAnswer: 12*sqrt(3) + 10796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5 = -45, -2*i + 4*y + 256 = 0. Solve i*l = 147*l - 18 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, -10, -40, -104, -214?\n\"Answer: -2*z**3 + z**2 + 3*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1987285 or -1987276?\nAnswer: -1987285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssnnnvsisi. Give prob of sequence snss.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.366 - 164.634. Let w = v + 58. Let y = -106.99999902 - w. What is y rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-24 + 120 - 23 - -13)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96 + (57 - (-87 + -65))?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1345770 is divided by 23607?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 17 = 2*h, -91*v + 2 = 2*h - 89*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 686 and 2298786.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 6. Suppose -4*z + 7 + 10 = 3*y, 15 = 2*z - 5*y. Let g = 7 - z. Calculate the remainder when d(5) is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*p + 437011 - 43*p + 7*p.\nAnswer: -63*p + 437011","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-12)\/(-126))\/(48\/(-28))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y - 3. Let x be 10\/(-25) - 3\/(105\/(-14)). Let v(z) be the third derivative of x*z + 12*z**2 + 0 + 0*z**3 - 1\/24*z**4. Determine u(v(b)).\nAnswer: 6*b - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 452, 1307, 2554, 4193, 6224, 8647, 11462?\nAnswer: 14669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6097680383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 409*o**4 + 181718*o - 228244583 wrt o?\nAnswer: 1636*o**3 + 181718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2700 and 192?\nAnswer: 43200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118886 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 - 1.88. What is the second biggest value in -0.2, -7, 2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, r: 4}. Give prob of sequence jjj.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194217, -194232, -194247, -194262, -194277?\nAnswer: -194292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - 6*-2*sqrt(99) - -1*sqrt(99)*-1)\/(sqrt(63)\/(sqrt(7) - sqrt(84)\/sqrt(432))).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 269070 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2066*y - 222222 = -3226 for y.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(153) - (sqrt(153) - ((sqrt(153)*-1*-3 + sqrt(153) - sqrt(153) - sqrt(153) - sqrt(153)) + sqrt(153)) - sqrt(153))))\/(sqrt(576)*-1*1).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -216945*b**3 - b + 21468 wrt b?\nAnswer: -1301670*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -19306366.\nAnswer: 11\/19306366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/((-252)\/(-87) + -3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 854 and 1342?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4140239 and 262244.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 + -38. Suppose 20*y + k = 21*y. Let t = 46 - y. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112112 + -3033?\nAnswer: -120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 204 - -675. List the prime factors of n.\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 860 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46494525 and 3984?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7437 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 684090075.74 + -1\nAnswer: 684090074.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**7\/168 - p**6\/90 - 2*p**3\/3 + p. Let k(f) be the second derivative of h(f). What is the third derivative of k(i) wrt i?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a**3 - 2287*a**2 - 82654*a - 40757 = 0.\nAnswer: -769\/7, -53, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 0*d**3 + 1\/15*d**4 + 8 - 2\/15*d**2 + 2\/75*d**5 - 2\/15*d. Factor q(s).\nAnswer: 2*(s - 1)*(s + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 830683 * 3\nAnswer: 2492049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**5\/15 - a**4\/2 + 8*a**3\/3 - a**2 + 1. Let n(q) = 0. Calculate q.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 8*l + 4*l)*(0 - l + 0 - l - l + 4*l + (-4 - 2*l + 4)*(-1 - 1 + 0) - 2*l - 3*l + 3*l + 2*l + 1 - 1).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.12058377 - 91?\nAnswer: -75.87941623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 85\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.5. Let u = -5 + 9. Let z = 5 - u. Sort -1, z, o in ascending order.\nAnswer: -1, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -936 by 6.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5774166?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -20, -1, 38, 103, 200, 335?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -30. Let l(b) = 2 - 4*b**2 - h*b - 7*b**2 + 1 + 17*b. Let g(i) = 4*i**2 - 4*i - 1. Give 17*g(o) + 6*l(o).\nAnswer: 2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2033 (base 4) to base 16\nAnswer: -8f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y - 8. Let o(k) = -7*k + 15. Let z(w) = -4*o(w) - 7*s(w). Let b be (-2)\/(-11) - 186\/(-66). Is z(b) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.12 + 0.13. Let m = h - -0.29. Let t be 1\/1 + (-14)\/12. What is the closest to 1 in t, -1\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 0) + 0 + (-8 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 263\/1440 + 5\/288. What is the fourth smallest value in -3, h, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21581 is divided by 733.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = 3*g - 3*f - 338, -4*g + 646 = -2*f. Calculate the highest common factor of g and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1253*i**2 - 289 - 304 + 593.\nAnswer: 1253*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -223*r - 116. Is z(-31) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - 53438 + 222718 = 0. Suppose -10*b + k + 420 = 0. List the prime factors of b.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 175875*k**2 + 6*k + 3. Let c be g(-4). Suppose -43*p + 46*p + c = 0. Let o = -578993 - p. Round o to the nearest 10000.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -28783 and 782376.657.\nAnswer: 753593.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -99*o**2 + 10*o - 17. Let t(n) = -50*n**2 + 6*n - 9. Give -6*f(k) + 11*t(k).\nAnswer: 44*k**2 + 6*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15676.71ms in minutes?\nAnswer: 0.2612785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 0 - i**3 + 1 - 3 - 3*i. Let g be t(-2). Suppose -7*d = -d - g. Solve 0 = -x - d*b - 5, -2*b + 12 = -4*x - 6*b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2508 is divided by 193.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16489512*a**4 - 152*a**2 + 7544*a - 10 wrt a.\nAnswer: -395748288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21110111 (base 3) to base 9.\nAnswer: 7414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -8, -0.68, -10, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -632604, -1265205, -1897804, -2530401, -3162996?\nAnswer: -3795589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/639 + -1 + 1. Let i = q + -1933\/5112. Let n = -9 - -10. Which is the smallest value? (a) i (b) n (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 271*k**3 + 9470*k**2 - 9200*k.\nAnswer: k*(k - 230)*(k - 40)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -330, -356, -382, -408, -434, -460?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-1\/9)\/s))\/(s\/(s**(-1\/28)\/s))*s*s**20*s**9 assuming s is positive.\nAnswer: s**(7579\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 + -27. Let u = 37.9 - t. Let h be 20\/12 - (1 + 1). Which is the nearest to u? (a) h (b) -5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1695 = 1697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxjhjhjxmmhmmjmxh. Give prob of picking 4 m.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -98452030*i**4 + i**2 - 420409190 wrt i?\nAnswer: -393808120*i**3 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fufuffffuuf. Give prob of sequence uuuu.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 11 = -49. Suppose 3*g - 7*g + 20 = 0. Let r(h) = 2*h**2 + 9*h - 4. Let z be r(-5). Sort g, n, z in descending order.\nAnswer: g, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2221, 2405, 2713, 3145, 3701, 4381, 5185?\nAnswer: 6113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aybyg. Give prob of picking 1 a, 1 g, and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from yyddddydp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(4\/36*1)\/(-1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000159503348 to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 16*l - 11*l, -3*x + 35 = l. Solve -4*m + 4*b = -32, -b - 15 = -x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.41958 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13001015743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c - 17 - 6*c + 16. Let i be q(-1). Suppose -i*d = 13*d - 60. What is the lowest common multiple of d and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 15*a + 12. Let d(s) = -s + 1. Let f(o) = -13*o. Let k(y) = -6*d(y) + f(y). Let u(l) = 9*k(l) + 4*r(l). What is the derivative of u(g) wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - w + 1. Let o be b(2). Let z(f) = 3*f - 4*f - o*f + 1 + 5*f. Suppose 2*i + 0 - 10 = 0. Determine z(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/4*2)\/2. Let l be (4\/(-48))\/((-3)\/6). Which is smaller: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*a + 38*a + 32*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 8*o + 3 + (-2 + 7 - 3)*(-4 - 2*o + 4).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(98))**2 + sqrt(98))*3 - (-3 + sqrt(98)*-3)**2 - (0 + (5*(2 + sqrt(98))*-6)**2))*-5.\nAnswer: 125895*sqrt(2) + 461850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 597 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -153 + 126.9. Round z to zero decimal places.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2265, -4534, -6807, -9084, -11365, -13650, -15939?\nAnswer: -18232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 221 + -216. Let t(h) = -h**3 + 8*h**2 - 14*h. Let m be t(b). Solve m = -f + 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 352 and 21536296.\nAnswer: 947597024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/19 (b) -12 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 1)*(0*u + 5*u - 3*u) + 5 - 5 + 3*u + 2*u + 2*u + 7*u)*(2 + 6 - 13).\nAnswer: -50*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/4))**17*j**(4\/3)*j**(-3))\/(j**0*j*j**(-3))**(-4\/31) assuming j is positive.\nAnswer: j**(865\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 842450 and 19285.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-8))\/((-3)\/90). Is 1\/(((-7)\/y)\/7) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.071901 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -100010110 (base 2) to base 15\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 times -0.06?\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 3*m**2 - 5149 + 5149. Let a(q) = -7*q**2. Determine n(a(z)).\nAnswer: 98*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*c - 11 = 5, -3*v + 4*c = 15. Let n(s) = -6*s**3 - 4*s**2 - 6. Let q(u) = -u**3 - u**2 - 1. Determine v*n(l) + 4*q(l).\nAnswer: 2*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1728.2+-2\nAnswer: 1726.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 768*u + 32 = 764*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/8 - (-27)\/36. Let h be (p - (-2 + 1))*9. Which is greater: h or 8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Let h = -0.044 - 0.356. Sort d, -2, h in ascending order.\nAnswer: -2, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204867735.\nAnswer: 3, 5, 13657849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -20)*(-2 - -1). Let p = 119 + y. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 193 - 133. Suppose -5*k = -4*n + a, 4*k - 46 = -5*n + 3*k. Let v be ((-2)\/(-8)*0)\/2. Solve -2*q + v*q + n = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**4\/5 - 261352*k**3\/5 + 4269838228*k**2\/5 - 25611973296*k\/5 + 38414432016\/5 = 0. What is k?\nAnswer: 3, 32666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8, 1341, 5, 2, -0.04?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3\/3 + 2*u**2 - 3*u = 0. What is u?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1030233 + -121?\nAnswer: 1030112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 16 (c) 1 (d) 2\/5 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n - 57 + 62 - 23*n - 5. Let q(w) = 13*w**2. What is q(s(a))?\nAnswer: 13312*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 469*k**3*o**2 + 3*k**3 - 3*k*o - 21 wrt o?\nAnswer: 938*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16163 + -15128. What is the remainder when z is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/6*(-1)\/(4\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*p + 156 - 82 - 327*p - 74.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 73850, 155720, 237590, 319460, 401330, 483200?\n\"Answer: 81870*m - 8020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25696353*x**4 + 13673818*x**2.\nAnswer: 616712472*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14164*-116.\nAnswer: 1643024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + (193 + -207 - ((1 - 2) + 0))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -93242b?\nAnswer: 93242a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2581876\/57 or 45295?\nAnswer: 45295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 8*h**2 - 6*h + 2. Let c(q) = -23*q**2 + 17*q - 5. Determine -6*c(b) - 17*y(b).\nAnswer: 2*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -5*s**5 + 161975*s**4 + 2430835*s**3 - 2754775*s**2 - 2430830*s + 2592800 = 0.\nAnswer: -16, -1, 1, 32410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129.6536 rounded to the nearest 10?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 26*f**3 - 3*f - 5. Suppose 72 = -64*a + 328. Let m(l) = -13*l**3 + l + 2. Give a*o(v) + 10*m(v).\nAnswer: -26*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**3 + 55*u**2 = 0 for u.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -155 + 5 + (2 - 1). Let a be 1 + 3 + m\/(-1). Calculate the highest common factor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 25 = 4*g, -g + 15 = 3*g + z. Suppose -g*a + 20 = -a. Suppose a*x - 12 = 73. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7*s + 5. Let u(v) = -7*v - 4. Give 3*l(t) + 4*u(t).\nAnswer: -7*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvbbvvvvv. Give prob of sequence vvvb.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19842 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17189*f**4 - 17434.\nAnswer: 68756*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 79 + 7 - 86 - 2*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z - 1. Let d(y) = 2*y**2 - 6*y + 5. Let v be d(3). Suppose 5*a = 5*x + 4*a - 9, 20 = -v*a. Give j(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 26 = -w - 0*p, 5*w + p = 152. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3030, 5193, 7354, 9513, 11670?\n\"Answer: -g**2 + 2166*g + 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 45*d**2 - 92*d + 61. Let z(y) = -44*y**2 + 92*y - 60. Let p(o) = -4*i(o) - 5*z(o). Find v such that p(v) = 0.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 69*v**3 - 5*v**2 - 28. Let s(d) = 68*d**3 - 7*d**2 - 27. Let q(h) = 3*j(h) - 2*s(h). Differentiate q(x) wrt x.\nAnswer: 213*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25332473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/384 and 67\/1024.\nAnswer: 3072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 27 - y - 27. Let m be x(-4). Let u(z) = 13*z**2 - 5*z + 3. Is u(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + g + 4. Let u be p(-4). Let o = u - 16. Solve 0*b**2 + 0*b**3 + 0 + 2\/7*b**4 + o*b = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 92 = -84. Suppose -8*p = -12*p + z. Calculate the remainder when 38 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 435 - 213 + 60*j - 220 in the form q + r*j and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -28*b. Let m(g) = -21*g + 3. Let f(l) = 34*l - 5. Let a(u) = -3*f(u) - 5*m(u). What is a(k(s))?\nAnswer: -84*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2718.13957387 - -364.13954189. Let g = x - -2354. What is g rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1096853?\nAnswer: 1096853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + v - 6. Let n be o(-3). Suppose n = 10*x - 23*x + 2394600. Round x to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + (sqrt(72) - (-5 + 4*sqrt(72)))).\nAnswer: -35 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j + 0*j)*(-6*j**3 + 8*j**3 - j**3)*(-2*j - j + j).\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - 0) + (-20)\/(-3)*9 is divided by 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-12) - (0 + 2 - 1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5164.2691 + -1.7691. Let u = m - 5168.4881. Let t = u - -6. Round t to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*d + 783*d = 607 - 12672 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 6:12 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.17235 + -12.2037245. Let l = 1.06862 - r. Let s = -0.1 + l. What is s rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.29713mg to kilograms.\nAnswer: 0.00009629713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 + 0 - 2)*(3*t**2 - 3*t**2 + t**2)*(0 - 1 + 4) + 16*t**2 - 14*t**2 + 16*t**2)*(-4*t - 2*t + 3*t).\nAnswer: -90*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44618338?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32712?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.9471 + -0.0471. Which is smaller: 0.2 or f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9*r + 9. Let w be v(1). Which is smaller: -6\/61 or w?\nAnswer: -6\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w + 58 = -209*w - 133 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 18*p - 2. Let h(x) be the second derivative of -19*x**3\/6 + x**2 - 2458*x. Give 4*h(k) + 3*m(k).\nAnswer: -22*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {r: 6, b: 2, y: 1, x: 5, p: 3, l: 3}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -16, 4, 2, 216, 0.009?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -800, -1, 4, 32 in increasing order.\nAnswer: -800, -1, 1, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-38)\/(-12))\/((-353)\/1059).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*z**2 - 17*z**2 - 14*z**2)*(31*z**2 - 10*z**2 + 14*z - 13*z) in the form n + j*z**2 + x*z**4 + l*z + g*z**3 and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131996475?\nAnswer: 3, 5, 13, 45127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 39 = -2*l + 35, 4*l = 5*a - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (0 + sqrt(68))*-4*6 + 4)**2 + 1.\nAnswer: -672*sqrt(17) + 39218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = 4*f - 2*t - 24, -4*f + 19 = 3*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a second in milliseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36183.69 - 36334. What is z rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*n + 2395 = 0. Let z = n - 1489. Round z to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 29*s**3 - 11*s**2 - 65*s + 274. Is o(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**3\/2 + 102*j**2 - 402*j - 2839. Suppose f(g) = 0. Calculate g.\nAnswer: 2, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28286 is divided by (433 + -432)\/((-99)\/51 - -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 31892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7493, -15566, -23637, -31706, -39773?\n\"Answer: o**2 - 8076*o + 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1932 less than 241631114753?\nAnswer: 241631114753.1932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47.6 - -47.2. Which is the nearest to 2\/7? (a) 2\/47 (b) h (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**5\/10 - z**4\/6 + 14*z**3\/3 - 3*z - 2. Find the second derivative of u(l) wrt l.\nAnswer: 12*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3 + 366*o - 180*o + 2*o**2 - 186*o. Let s(h) = -12*h**2. Determine s(m(z)).\nAnswer: -48*z**4 - 144*z**2 - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m*((m**(2\/25)\/m)\/m)\/m*m)\/(m\/(m**5*m)*m))**40 assuming m is positive.\nAnswer: m**(1216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(14\/9))**(-1\/8)*g**(8\/3)\/g**(-2\/29) assuming g is positive.\nAnswer: g**(5857\/2088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -855.048131 to the nearest ten.\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 0*t + 0*t)*(-14 - 10*t**2 + 15 - 280*t**2).\nAnswer: 290*t**4 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(126) + sqrt(126))*-6 + sqrt(126) + -4*sqrt(126)*2)\/((sqrt(315)*1)\/(sqrt(405)*-1)).\nAnswer: 171*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 4:51 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhhe. What is prob of picking 2 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**0*i\/(i**(-6)\/i) assuming i is positive.\nAnswer: i**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 240502*m**3 + 4*m**2 - 224*m - 10?\nAnswer: 1443012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-441.9.\nAnswer: -441.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l. Let a be 1\/(1 - (2 + 0)). Let m be f(a). Suppose 347*r - 337*r = 140. Solve 5 = 4*k + k, -4*k + r = m*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -149 + 149.035. Let w = 0.035 - f. Which is the second biggest value? (a) -1\/10 (b) 1 (c) -1\/2 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 + 9*q**2 - 3*q + 8. Let x be f(6). Is ((-7)\/(-14))\/((-1)\/x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*sqrt(26))\/sqrt(2))**2 - -1*(sqrt(13) - (sqrt(13) - sqrt(468)))**2*-2.\nAnswer: -928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7498493 at least as big as 7498490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 12:31 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-155792)\/63986)\/(1\/(-23))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*a - 3*a + 6*a + (a + 2 - 2)*(0 - 3 + 4) - 3*a - 2*a + 3*a - 2*a - 3*a + 7*a + 80*a - 96 + 55 + 40 to g*a + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(76\/323))\/(((-9)\/(-3))\/(-3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -28*f**3 - 9*f**2 + 5*f + 5. What is the tens digit of p(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 11:12 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**5*v - 6137075*t**4*v + 15471288*t*v wrt t?\nAnswer: -40*t**3*v - 73644900*t**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 319 + -319.00586. Round v to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 0) + (8 + -8 - -3). Let z be (6 + -9)*l\/3*-2. Solve 0 = m + z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i - 37*i - 1 = 0. Let s = -8.5 - -6. Let m = -2.52 - s. Which is bigger: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69059 divided by 1303?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 7. Let y be z + 0\/(-2) - -57. Suppose l + 52 = 2*r + 3*l, 4*l = -2*r + y. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 13 = -2*f, -2*f - 4*r + 2*r = -8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*a**2 + 27*a**2 + 12*a**2)*(2*a + a + 0*a) + 0*a**3 - 2*a**3 + 3*a**3 + 0*a**2 - 2*a**3 + 0*a**2 + 18*a - 18*a - 26*a**3.\nAnswer: 51*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**3 - 4*s**3 + 4*s**3)*(-5*s + 2*s + s)*(2 - 3 + 3) as h*s**2 + i*s**4 + o*s**3 + j*s + y and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 8*k = 2*k. Let v(n) = -n**2 + n. Let c be v(k). Put -2, c, -4, -1 in decreasing order.\nAnswer: c, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - -0.4. Let f = 3 + -2. Let w = r - f. Sort 4, 2\/9, w in decreasing order.\nAnswer: 4, 2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*l = 18, 8 + 9 = -4*x - 5*l. Let y(v) = -x - 2*v + 13*v - 23. What is the tens digit of y(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 104*x**2 + 406*x + 641. What is n(-100)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 3*t + 0*t)*(1 - 1 - 4) + 1 - 1 - t + (-4*t + 2*t + 0*t)*(-2 - 1 + 1) + 4*t + 4*t - 5*t + 0 - 2*t + 0 + (1 + 2*t + 2 + 0)*(4 - 2 + 1).\nAnswer: 14*t + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, z: 3, p: 2, c: 1, a: 2, i: 2}. Give prob of sequence pa.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 17, -1 in increasing order.\nAnswer: -1, 2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/197862920 and 57\/4568?\nAnswer: 197862920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*r - 381*r + 243 = -114 - 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 213.9 and 51562917.41.\nAnswer: 51563131.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5341879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g**2. Let i(l) = 0*l + 10*l - 5*l - 4*l. What is i(z(r))?\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 3*a**2 + 8*a + 100. Let d(l) = -l**2 + 3*l + 1. What is -3*d(b) + j(b)?\nAnswer: b**3 - b + 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 44*o - 47*o + 22. Solve 0 = -5*j + 2*d, j + 36*d = 41*d + o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 443*d**2 + 483*d**2 - 1349*d**2 - 137*d + 454*d**2 + 137*d.\nAnswer: 31*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2 + (0 - 4 + 3)*(1 + 2 - 5) - 1 + 2 + 1)*(3*l - 4*l + 0*l)*(3*l**4 - 5*l**4 - 5*l**4).\nAnswer: 49*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 c when three letters picked without replacement from czcczccczzzcc?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/3*(4 - (-5 + 6)). Suppose 0 = d*g - 4*g + 8, 28 = 4*v - 4*g. Let r(t) = -t**3 + 6*t**2 - 3*t - 4. What is r(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714811 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by -125782.\nAnswer: -49\/125782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 7?\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/119?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-244)\/(-9150))\/((4\/(-2))\/6).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h**2 + 5*h**2 - 3*h**2)*(18 - 7 - 47) + (2*h + 8*h + h)*(2*h + 4 - 4) in the form z + m*h**2 + g*h and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 486 - 487 + o**2 + o**2 - o**2 - o. Suppose -9*q - 72 = -108. Let d(h) = 4*h**2 - 5*h - 5. Determine q*d(g) - 20*f(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n - 4. Let p(u) be the third derivative of -u**4\/24 - u**3\/6 - u**2. Suppose 2*g = 6, 2*z - 2*g + 2 = -2*z. Calculate z*a(s) - 4*p(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4073 to two decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**2 + 0*y**2 + y**2)*(2*y + y - 4*y)*(-420 + 76 - 18) in the form i + l*y + s*y**2 + m*y**3 and give m.\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119922 is divided by 1202.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 + (10 - 6 - ((-2 - (12 + -20)) + -6)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3534835 by -32.\nAnswer: 3534835\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(170) + 2*sqrt(170)*4))\/(sqrt(80)\/(sqrt(8)*-1*-2)).\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64362922 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 - -76. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 99*m**2 + 3. Let o(t) = t. What is q(o(j))?\nAnswer: 99*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o + 22266*o + 30098*o + 17025*o - 8460*o.\nAnswer: 60906*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 + -0.36. Let s = w - -0.9. Let c = 2.6 + 0.4. Sort -1\/4, s, c in increasing order.\nAnswer: -1\/4, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 14*k**3\/3 + k**2 + 3*k - 6358. Let q(l) = -15*l**2 - 3*l - 4. What is 4*q(v) + 6*s(v)?\nAnswer: 24*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-18))**(29\/3) assuming s is positive.\nAnswer: s**(-174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 - 2?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/70*((-3525)\/188 + 4*5). Factor -6\/7*o - 4\/7 + k*o**4 + 6\/7*o**3 + 2\/7*o**2.\nAnswer: 2*(o - 1)*(o + 1)**2*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.593258 months to decades.\nAnswer: 0.13827715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n + 233. What is d(-26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 47 + -16 + -18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*y = -85*y + 23*y + 3933 for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 6*u**2 + 7*u - 17. Let o be t(6). Suppose -10*x = -o*x. Solve x*y = y + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(117) + sqrt(117)*-1))\/sqrt(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/13*q**2 - 4\/13*q - 2\/13*q**3 + 0.\nAnswer: -2*q*(q - 2)*(q - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 10*w. Let b(i) = 120836*i. What is f(b(d))?\nAnswer: 1208360*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 488, -16, -2\/71 in increasing order.\nAnswer: -16, -2\/71, 488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -30105 divided by 1115\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-1 + 2\/(2\/3)). Which is the second smallest value? (a) v (b) -1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a + 9*a - 10*a = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 1, -11 in decreasing order.\nAnswer: 1, -11, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-three fifths of a hour in minutes?\nAnswer: 756","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is -5576749 < -5576751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22882*i**2*k**3*v**2 - i**2*k**2*v + 45*i**2*v**2 + 2*i**2 - 5*i*k**3 - 2*i*k**2*v - 10*k**3*v - 215*v wrt v?\nAnswer: -45764*i**2*k**3 + 90*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/11 - 397*u**2\/11 + 791*u\/11 - 395\/11.\nAnswer: (u - 395)*(u - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 8*h**2 + 8*h + 16. Calculate g(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3847*q**3 - 2*q**2 - 3*q**2 - 20 - 7678*q**3 + 3830*q**3 in the form z*q + r*q**3 + a*q**2 + v and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/6))\/v)**(-5\/16)*(v\/(v*v\/(v**(-4)\/v)))\/v**(5\/3) assuming v is positive.\nAnswer: v**(-247\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a millennium in centuries?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12383.823972 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 283*i - 260*i - 253 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyryry. Give prob of sequence yry.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (310 + 11*l - 310 - 3*l + l + 3*l + (3*l + l - 3*l)*(-4 + 4 + 2) + 3*l + 2*l - 4*l - 1 + 1 + 4*l)*(l + 0*l + 2*l)*(-3 - l + 3).\nAnswer: -57*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + -43. Calculate the least common multiple of o and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**25\/h)**33*h**(-7\/6)*(h\/(h\/h**(1\/40)))\/h assuming h is positive.\nAnswer: h**(94783\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 14, x: 1}. Give prob of picking 1 g and 1 x.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.54166 + 0.00166. What is the nearest to 0 in 0.5, 5, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/25)\/((-12102)\/(-50425))\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-1 + (-2)\/2). Let i(q) = 79*q - 23. Let s(k) = -144*k + 45. Let c(z) = 11*i(z) + 6*s(z). Let y be c(h). Which is bigger: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -10 - -4) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -50394, -50151, -49908, -49665, -49422?\n\"Answer: 243*d - 50637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 21.6. Let m = 0.3 - 0.5. Let g = -0.1 - m. Is g bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Let s(u) = -u**2 + 9*u - 4. Let p be s(9). Let q = -3 - p. Let f be b(q). Solve -2 = w - f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-16)\/j*j**(2\/13)*j)**(4\/9) assuming j is positive.\nAnswer: j**(-824\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 99.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 6 = 3*a, 3*q + 0 = a - 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 13 = -2*a + 5, -w = 4. Suppose p = 5*u - 6, -a*u = 6 - 0. Let s = p + 38. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*a**3*g**2 + 4*a**3*g*v - a**3*g + 3*a**2*g**2*v + a**2*g + g**2 + 4*g*v wrt g.\nAnswer: 46*a**3 + 6*a**2*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -17*r**2. Let q be 2*(-1)\/1*-2. Let m(z) = -4*z**2 + 4*z**2 + q*z**2 - 6*z**2. Determine f(m(s)).\nAnswer: -68*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmmuhhqjjhmth. Give prob of picking 3 h and 1 m.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1398 = 13*f + 1684 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1392 + -1390. Solve 5*f - 10 = 5*x, a + 6 = -4*x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115345 and 11645.\nAnswer: 15802265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -5*g + 1556 - 1572, -2*a + 19 = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = -18*v - 60. Let f be ((-6)\/v)\/(30\/(-25)). What is the third biggest value in f, -3\/5, -0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (305842\/12)\/37 - (-1)\/6. Calculate the greatest common factor of n and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 12*l + 11. Let k be w(-11). Let u = 3.4 - 0.4. Which is the biggest value? (a) -2 (b) k (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = 0, z = -z + 2*r + 20. Suppose 32 = 2*n + z. Suppose x = d - 14, -2*d + 4*x = -26 - n. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*p - p - 46, -3*d - 43 = -5*p. Let j be (-9)\/(-11) + (-2)\/d. Let y be 8\/(-5) - (-1 + -1). Which is bigger: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 992 divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1593.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 40*v + 33*v + 228 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert e6 (base 16) to base 9.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -5*a - 2*f + 239129, -3*a = -5*f - 143465. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.4 (b) -1 (c) 0 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 1750 = 2*n - 2*w, 0 = -4*n - 4*w + 3520. Suppose -17*s + n = -696. Calculate the lowest common multiple of 18 and s.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**2 - 2*y - 4. Let m(c) be the first derivative of x(c). Let o(v) = -v + 3. Determine -3*m(b) + 2*o(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 - -69. Let r be 25\/10 + -2 - y. Factor s - r*s**2 + 3\/2.\nAnswer: -(s - 3)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3687 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -453 - -454. What is the highest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*l = 106*l - 3*g, 0 = -5*l + 3*g - 9*g - 2*g + 110 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 + 44. Let f be (-3 - 20) + 8\/m. Let v be (-49999 - 1)*(f\/(-5) + -19). Round v to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -x + 2. Let c(n) be the second derivative of -n**4\/6 - n**3\/3 - n**2 - 276*n. Calculate c(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*g - 755 = -5505. Solve 0 = -4*p + 3*v - g, -2*p - 5*v - 11 = -8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uapzsud. What is prob of picking 1 p, 1 z, and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/7 + 74731*c**2\/7 + 373676*c\/7 + 298944\/7.\nAnswer: -(c - 74736)*(c + 1)*(c + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.921 + 1.1782\nAnswer: -0.7428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5724345 + 1324322 = 71*q - 0*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1926 and 8710.\nAnswer: 8387730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89 - -305. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26479*b**2*g**3 + 257*b**2 + 170*b + 2*g**5 - g**2 wrt g?\nAnswer: 158874*b**2 + 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 0, 0, -2, -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 37 - 80 + 42 + 0*w - w + w**2. Determine l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvlvccvl. What is prob of sequence lvv?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 464615 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*g - 65*g - 400. Suppose -g = 16*r - 36*r. Solve 3*i + i + r = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - r + 2, -2*b + 3*r + 14 + 4 = 0. Suppose 6*g + b = 7*g. Solve 2*a = -g*p - 17, -4*a - 9 = 3*p + 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 895 = -113. Calculate the remainder when q is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/5 + 2\/5. Suppose x = m*x. Suppose -z = q - 7 - 4, x = 3*q - 4*z - 61. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115630.\nAnswer: 2, 5, 31, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v + 4455. Suppose 4*b + 13 = -4*n + 1, -b + 3*n + 1 = 0. Let t(p) = 8*p + 2. Calculate b*f(h) + t(h).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4627597 is divided by 575?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -4. Suppose -p + 6 = i, i - 18 = -2*p - 3*i. Suppose -t + 170 = p*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 3*j**2 + 7*j + 1. Let k(r) = -6*r**2 + 1. Let p be k(-1). What are the prime factors of i(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + 49. Let o(p) = 3804554*p - 1 - 3804577*p + 1 + 0. Determine o(l(y)).\nAnswer: -69*y**2 - 1127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 174 = -4*l + 2*l, -209 = 4*r + 5*l. Let i = 76 + r. Calculate the remainder when 135 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 49, -0.4, -0.1, -1607, 1\/5 in decreasing order.\nAnswer: 49, 1\/5, -0.1, -0.4, -4, -1607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-5)\/(35\/(-28))). Solve -46*c + 31*c + 60 = n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {b: 4, x: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -3. Calculate the common denominator of -31\/5 and j\/6 - 62\/15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -203.9 - 0.3.\nAnswer: -204.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/155, -2.4, -4, -1\/2, -3 in increasing order.\nAnswer: -4, -3, -2.4, -1\/2, -6\/155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - 3*1*sqrt(171))\/(sqrt(144)*-2).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/259 or -159?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/299, 0.2, 2 in increasing order.\nAnswer: 1\/299, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -23 + 3. Let t = s + -3. Suppose -5*w + 2*p + 27 = -8, -2*w = t*p - 14. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.19 - 0.142. Let f = l + -0.248. Which is the smallest value? (a) f (b) -3 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 8) in base 7?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.31 in -1, -12, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97424 is divided by 47896?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23074.\nAnswer: 2, 83, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -10. Suppose 19*b + 1155 = 26*b. What is the greatest common factor of v and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 272096.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 17*h - 9. Let a be u(3). Let r = a + 9. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1243103 (base 12) in base 8?\nAnswer: -15500323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 171327 + -8?\nAnswer: 171319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 14*k**2 - 13*k + 3. Let a be c(13). Let r(p) = 8*p - p**2 - 5 - p**a - 2*p**2 - 3*p**2. Does 13 divide r(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 219 + -230. Let j be (-7)\/(231\/(-171)) - (-2)\/y. Solve -2*v + 13 = l, -j*l + 0*v + v + 21 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68788481 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-14))\/(((-25025)\/490)\/(-55))?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31172*r**3\/7 + 124680*r**2\/7 + 32*r\/7 = 0. What is r?\nAnswer: -2\/7793, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27535 + -18310. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8967275 divided by 1793455?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8 - 4 = 0. Let b = -1940 + 3961\/2. Find the common denominator of (-745)\/5*h\/18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5166 = -2*g + 6*g, -3*b = 5*g - 6466. List the prime factors of g.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 12:57 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*y = -34, -2*u + 6*y = 672 - 642. Suppose 3*a - 3*x = 342, 0*x + 3*x - 570 = -5*a. What is the highest common factor of a and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615 = -56*s - 359 - 258 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 1 - sqrt(17) - sqrt(17)) + 4 + 0.\nAnswer: -sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 413236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13\/56 - -131\/56. Factor -n*c**5 + 96\/7*c**4 + 12\/7*c**2 + 72\/7*c - 146\/7*c**3 + 16\/7.\nAnswer: -2*(c - 2)**3*(3*c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a + 0?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 12*n**3 - 28*n**2 + 9*n - 29. Let m(x) = 14*x**3 - 27*x**2 + 10*x - 33. Give 9*d(p) - 8*m(p).\nAnswer: -4*p**3 - 36*p**2 + p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + s**2 + 2. Let o be m(0). Suppose -o*k = -0 - 20. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f. Let s(c) be the second derivative of -c**4\/6 + 12*c. Calculate s(u(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1372743.9 nanoseconds to hours.\nAnswer: 0.00000038131775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25303516 (base 7) to base 14\nAnswer: 43767d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7272, -1, 106.\nAnswer: -7272, -1, 4, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in -99, -0.1, 1, 20?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35286179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(16\/(-4) - 2). Which is bigger: h or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-84) - (15\/(-7) + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1242*25.2748.\nAnswer: -31391.3016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1\/8, 4, 2, 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 3:43 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*g + 1270*g + 1463*g - 37740 = 268*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 86 + 6435*b**2.\nAnswer: 6435*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 7605?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1077 (base 10) to base 13.\nAnswer: -64b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 < -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72493714 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203296 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*1*1)**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, m: 2, n: 1, i: 4, o: 2}. What is prob of sequence mcc?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 25 = 0, 0 = b + 4*y - 8 - 16. Suppose -l - 2*l + 18 = 5*g, 17 = b*g + 5*l. Factor 7*u**2 - 2*u**g - 5*u**2 - 2 + 0*u + 2*u.\nAnswer: -2*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 4*k - 6*k)*(-253 - 343 + 119 - 529 - 44).\nAnswer: -1050*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**5 + 5*v**4 - 13*v**3 - 41*v**2 + 12*v + 36 = 0.\nAnswer: -6, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13193085 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/2, -1\/5, -4, 2, 3 in descending order.\nAnswer: 3, 2, -1\/5, -4, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 2531*q - 2532.\nAnswer: (q - 2532)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 + -8)\/(2\/16). Let j = z - -11. What is the second derivative of -1 - n**3 + 9*n + 3*n**j + 1 wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/4439, -335 in ascending order.\nAnswer: -335, -4, 2\/4439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**5\/20 - k**4\/2 - 2*k**3\/3 + 3*k**2 - k. Let r be x(-5). What is the tens digit of (-12)\/(-2)*(2 + r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = 3*v. Let f = 5 - v. Let w be 3\/(-2) + (f - 0). What is the closest to 1 in w, 4, -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40\/3 + -79\/6. Let j = 0.4987 - 0.518. Let y = j + -0.9807. Which is the second biggest value? (a) y (b) -3.9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 1. Let s(c) = -3*c - 31. Let v be s(-9). Let h(m) be the third derivative of -m**4\/8 + m**3\/2 - m**2. What is v*h(k) - 10*i(k)?\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 + 2. Let i(f) = f**4 - 12*f**3 + 4*f - 1029. Let z(x) = -6*g(x) - i(x). What is the derivative of z(k) wrt k?\nAnswer: -4*k**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a + -1d?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3200 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 94201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**3\/6 + 13*r**2\/2 - 2*r. Let p = -5 + -1. Is t(p) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 171*o**5\/20 - 731*o**2\/2 + 116*o. Differentiate x(g) wrt g.\nAnswer: 513*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 15 = -5*r. Let f be 1\/(((-20)\/(-16))\/r). Suppose f*v = 4*t + 44, 3*t - 7*t = 2*v - 28. What is the remainder when 21 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 12. Let k(y) = -y + 6. Let b be k(5). Let i = b + v. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3577422 * -0.46\nAnswer: 1645614.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 10*z - 2. Let y be k(7). Let m = 36 - y. Suppose -4*w + 42 = m. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*t - 5880, 97*q - 102*q = t - 7331. Calculate the greatest common divisor of q and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 2 - 0 - -2. Suppose 4*j + 5 = 3*z, j + 11 = 4*z - 0*j. What is the highest common divisor of f and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*k + 128 = 0, -23*k = 40*t - 41*t - 27*k - 23 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 6798\/(-27)) + (-141)\/(-27) + -5. Suppose -44 = -5*v + v. Calculate the greatest common factor of t and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113588616 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 986773755*u - 986773755*u - 10*u**2.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9949876527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((25875\/(-138))\/75)\/(9\/288)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 4\/21 (c) 11.9 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -372 + 377. Suppose -95 = -4*f - y*l, -3*f + 5*l - l + 48 = 0. What is the highest common divisor of f and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 - 45*w - 119. What is the remainder when 1152 is divided by p(-17)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 496161 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20\/(-8)*40\/(-25) and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2*-5)\/(-2))\/(-3) + 2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.6 and -118382.\nAnswer: -118379.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*y - 185839, 2*y + y - 6*y = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -13. Put -4, 2, v in ascending order.\nAnswer: -4, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44693 is divided by 11171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**4 + 27278*o**3 + 187639*o?\nAnswer: 12*o**2 + 163668*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bybbbhlbyylhvbbyh. What is prob of picking 2 h and 1 y?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*l + 287*l = -70*l - 50*l + 57994 for l.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 17*l**3 - 3*l**2 + 14*l**3 - 33*l**3 - 5*l**2 - 6*l = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/5 (b) -21 (c) -2\/7 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j**2 + 17*j**2 + 5*j**3 + 3894 - 3894 - 47*j**2.\nAnswer: 5*j**3 - 55*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2193 (base 13) to base 4.\nAnswer: -1021023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*y**2\/5 - 15930*y + 11379\/5.\nAnswer: -3*(y + 3793)*(7*y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2053 or 9323?\nAnswer: 9323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.5, -0.5, -1039, -0.1, 4.\nAnswer: -1039, -0.5, -0.1, 4, 9.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/3 - 676\/(-104). Factor -2*j**4 + i*j**3 - 4 + 5*j**2 - 2*j + 1\/2*j**5.\nAnswer: (j - 2)**3*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-7)\/(-28) - (-2)\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13a287 (base 13) to base 12\nAnswer: -1b1517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - -326?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 644 and 84?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 249 - 246. Factor 3\/2*j**2 - j**4 - 3\/2*j**t + 0 + j.\nAnswer: -j*(j - 1)*(j + 2)*(2*j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -1.1, 2469608?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100011011010 - -1001011010110111?\nAnswer: 101110111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**4\/4 + 601*g**3\/2 + 600*g**2 = 0.\nAnswer: -1200, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4)*q**1)**(-18) assuming q is positive.\nAnswer: q**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*f + 4*r, -2*f = 5*r - 19 + 40. Solve 3 = -f*c + u, -u = -4*c - 0*u - 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 5, -4*l + 8*t = 11*t + 15. Let y be 1\/4 + 82\/(-8). Let z = -7 - y. Sort z, l, -3.\nAnswer: -3, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 - 1. Let g(k) = 64*k**2 - 181. Let s(c) = g(c) + 6*r(c). Find the first derivative of s(t) wrt t.\nAnswer: 92*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5472045 divided by 1955.\nAnswer: -2799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(((-60)\/68 - -1)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -414*c*x**2 - 9552*c - 10*x**2 wrt x?\nAnswer: -828*c*x - 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1124.7*-1306\nAnswer: -1468858.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 3*v - 6 - 2*v**3 + 3*v**3 + (-6*v**2 - 4*v**2 + 2*v**2)*(-3*v + 5*v + 0*v).\nAnswer: -15*v**3 + 2*v - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (11 + (-9 - -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87683 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*l - 42, 3*l + z - 6 + 28 = 0. Let r be (1\/4)\/(2\/l). Which is the closest to 0? (a) r (b) 0 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 11:25 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15345084194 from 0.02.\nAnswer: -15345084193.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80981?\nAnswer: 47, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30233120 (base 4) to base 13.\nAnswer: 1a9a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyicbcbb. Give prob of picking 1 c and 1 y.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - o - 1)*(o**2 - o**2 + 2*o**3)*(44*o + 169*o - 16*o + (-2*o + 7*o - 3*o)*(3 + 1 + 0)).\nAnswer: -410*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 11. Let s = c + 25. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 2 - (10 - (8 - -10))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 19*q + 4. Solve -2*i - 5*n = 17 + 1, 2*i + 2*n + 12 = q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1488 - 1308 = -12*g + 180. Let q(s) = -5*s + 1. Let z be q(-2). Let t = z - -20. Calculate the highest common divisor of g and t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -2bb0b3?\nAnswer: -2bb0b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 0.312 (c) 4\/5 (d) 9\/2 (e) -1\/3 (f) -367\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggff when four letters picked without replacement from ffqqgoooqgqoq.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131.26 + 130. Let m = h - -1.06. Which is the nearest to -1\/5? (a) 10\/7 (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -10202011222010?\nAnswer: -10202011222012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/2014988 and 83\/5692?\nAnswer: 2867327924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - 6 - ((0 - -15) + -12 + 0)) + -10.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3627216, 3627212, 3627208, 3627204?\nAnswer: 3627200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 634502506 to the power of 1\/2, to the nearest integer?\nAnswer: 25189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/9260719 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 17789, 21, 62.\nAnswer: -2, 21, 62, 17789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -15*q**2 + 4*q. Let v(r) = -52*r**2 + 12*r. Let a(w) = -7*j(w) + 2*v(w). Let n(m) = -4*m + 0*m - m + 2*m**2. Determine 5*a(k) - 4*n(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -266939.248 to the nearest one hundred.\nAnswer: -266900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, n: 2, t: 2, e: 1, i: 4, h: 1}. What is prob of picking 1 h and 1 n?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 - 79. Let b(k) be the third derivative of 0 + 0*k**5 + 1\/72*k**4 - 1\/180*k**6 - 2*k**2 + 0*k**7 + 1\/1008*k**x + 0*k**3 + 0*k. Factor b(w).\nAnswer: w*(w - 1)**2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/7 + 89757*p**2\/7 - 89760*p\/7.\nAnswer: 3*p*(p - 1)*(p + 29920)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8248 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3148 is divided by (-3 - 91\/(-126) - (-10)\/(-45))*-10?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/29 or 0?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 104*g**2 - 1316*g - 92. Calculate c(30).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 75\/4 of a century?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/8 - -2)*(-1)\/(-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -33108, -3 in decreasing order.\nAnswer: 5, -2, -3, -33108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -13, 0, 0.2, 0.95 in ascending order.\nAnswer: -13, 0, 0.2, 0.95, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3100 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 2\/9, -6 in descending order.\nAnswer: 5, 4, 2\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-4))\/((-3)\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -273*o**5*x - o**4*x - o**2*x - 17*o**2 + 5 wrt o?\nAnswer: -16380*o**2*x - 24*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3234415?\nAnswer: 5, 646883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2 - 17784*x - 39533832 = 0.\nAnswer: -4446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, h: 7}. What is prob of picking 3 h and 1 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-13\/2)*x*x\/x**(-25)*(x**(-7))**13 assuming x is positive.\nAnswer: x**(-141\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 57534151 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -819*r - 3303882 = -878*r. What are the prime factors of r?\nAnswer: 2, 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 3*t - 6. Let l be q(-4). Put l, -3, 3 in ascending order.\nAnswer: -3, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 34. Suppose 5*t + 3*n - 79 = 0, -n = 5*t - u - 52. Suppose -t*v + 6*v = -704. What is the least common multiple of v and 4?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1480 (b) 92 (c) -124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127 + -132. What is the third biggest value in -2, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-132)\/96 - -17 - 16. Which is the biggest value? (a) 2\/51 (b) -1\/3 (c) -0.7 (d) m (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1025, 11.2, 0.2 in decreasing order.\nAnswer: 1025, 11.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = i. Suppose 3*y - 12 = 3*s, i = 5*y - 4*s - 0 - 18. What is the second derivative of 2*x**2 + x - 7*x**y + 6*x**2 wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 15\/4 of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 11*g + 6. Suppose -i - a + 8 = -5*a, -i - 3*a + 15 = 0. Calculate h(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5*j + 55, a - 5*j - 105 = 2*a. Let n be (-90)\/4*a\/25. Calculate the highest common factor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p - 27*p**2 - 16*p - 3*p + 10*p**2.\nAnswer: -17*p**2 - 35*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23452632953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 51 = 3*g. Let y(o) = -2*o**3 - o**2 + 6*o + 7. Let h be y(-3). Calculate the greatest common divisor of g and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n + 6. Let z be h(0). Suppose -z*g = -14*g - 4832. Let l be (4 + g)*(-33400)\/6. Round l to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (3 + -2 - -11 - 4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2))**45\/((b\/(b*b**(-2\/7)\/b))\/b**(2\/5))*(b\/(b*b*b**(-5)))\/(b\/b**(-5\/3))*((b\/(b\/(b\/(b\/b**1)))*b*b*b)\/b)**(-1\/63) assuming b is positive.\nAnswer: b**(229\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24408070.\nAnswer: 2, 5, 2440807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236, -248, -22.\nAnswer: -248, -22, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0, -4\/3.\nAnswer: -13, -4\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53492173.\nAnswer: 7, 59, 18503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 10:59 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32015\/1140 + 2\/8)\/(10\/(-12)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 n when three letters picked without replacement from {l: 2, z: 7, n: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 5*c**2 - 8*c - 4. Let g be v(6). Let m = g - -19. Suppose m*x + 16 = 7*x. Solve o = x*w + 2*o + 9, -4*o + 27 = -5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*h + 211, -2*h + 109 = 2*o - 7*h. Let q = 56 - o. Let f be -1*(1 + q + 6\/6). Calculate the greatest common divisor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, 2, -4\/3, 0.572 in increasing order.\nAnswer: -4\/3, -6\/7, 0.572, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1 + 9 = 0. What is the remainder when 8\/(-44) + 20\/(-11) + 6 is divided by 1 + -1*c\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -112, -125, -144, -169, -200, -237, -280?\n\"Answer: -3*c**2 - 4*c - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(2 - 27\/15). Let h = -628\/387 + -64\/43. Let r = -26\/9 - h. Which is the closest to 2? (a) 0.4 (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5726*s + 56342. Give o(-10).\nAnswer: -918","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33 and -69\/9470?\nAnswer: 9470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-6 + 0) - 8. What is the tens digit of f - 5 - -2 - (21 + -1505)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 - -0.02. Let i = w + -0.05. Which is greater: i or -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -541 - -532. Let q be (-16)\/(-12) + (-51)\/p. What is the greatest common divisor of 8 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1705376, -6821538, -15348476, -27286190, -42634680, -61393946?\n\"Answer: -1705388*c**2 + 2*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -411 and 15.73?\nAnswer: 426.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -38. Suppose -14*o + y = -8*o. Suppose 3*r = r + 48. Solve -o*h + r = 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14c (base 13) in base 3?\nAnswer: 22122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t + 36*t = -1556. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2284622 - 337?\nAnswer: -2285060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 341, 324, 299, 260, 201, 116?\n\"Answer: -k**3 + 2*k**2 - 16*k + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 9*w**2 - 82*w + 97. Give y(4).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**4 + 207354*s**3 + 4777367040*s**2 + 36691771184646*s + 36686994024957 = 0 for s.\nAnswer: -23039, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/48 and ((-13)\/(-1300)*-5)\/((-4)\/(-385))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1188 and -71\/16?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.6 - 6.5. Let d = 6 - m. Which is the biggest value? (a) -5 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/48 and 77\/104.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 26 = 2*m. Which is the third biggest value? (a) m (b) 4 (c) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-76)\/(-6))\/((-3)\/(-9)). Suppose -2*s + v = 6. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -3*t + 21. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*l + 74*l - 122*l + 1441 = 0 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen quarters of a day?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2190213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1708\/1055 - -4\/211. Let k = -91 + 94.81. Let t = 4.31 - k. Which is the nearest to 0? (a) s (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*c - 2*o - 46, 5*c - 84 = -4*o. What is the second derivative of -5*m**4 + 24607*m**5 + c*m + 2*m**4 - 24613*m**5 wrt m?\nAnswer: -120*m**3 - 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 374903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 3:25 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = -112*p + 32*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 0.084, 0.0858, -1\/9.\nAnswer: -1\/9, 0, 0.084, 0.0858, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*l - 348, -3*o + 8*o - 570 = 5*l. Is o a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**5\/15 + d**3\/6 - 4*d**2. Let a(b) be the first derivative of y(b). Is a(-2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 35 = 3*t - 22, -c - 53 = -3*t. Let o be (0 + (-74)\/6)\/(6\/t). Are o and -37 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-35) + (-26)\/65?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3*h\/(h**(2\/7)*h)*h*(h**1)**31)\/((h\/h**1)**(25\/2)\/((h**(-7)*h*h)\/(h\/h**(-2\/9)*h))) assuming h is positive.\nAnswer: h**(1732\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 8. Let x be 29\/3 - (-2)\/6. Let q be i(x). Find the second derivative of 10*n - 5*n - 38*n**2 + 39*n**q wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-66)\/18*(-1 - 2)*1 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81365?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 0, 4, -24 in decreasing order.\nAnswer: 4, 0.04, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {n: 3, d: 8, q: 5}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -560, -1900, -4518, -8840, -15292, -24300?\nAnswer: -36290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 5*r**2 + 3*r + 5. Let t be x(9). What are the prime factors of 9\/(-15) - t\/20?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -47f8 - -292?\nAnswer: -4566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02935 + -2.02935. What is the nearest to l in -3\/260, -0.5, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*h**3 + 2729*h + 2728*h - 5457*h.\nAnswer: 133*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utkt when four letters picked without replacement from {k: 10, u: 2, q: 5, t: 3}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 - 3*b**2 - 2*b**2 + (0*b**2 - b**2 + 0*b**2)*(-4 + 1 + 5) + 9 - 100*b + 100*b - 2*b**2.\nAnswer: -6*b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*d - 5*d + 3*d in the form x + g*d and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4164*i. Let k(l) = -71*l + 17. Calculate c(k(z)).\nAnswer: -295644*z + 70788","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 + 141*v**2 + 71*v + 106. Let x be r(-70). Solve -x*l + 135 = -9*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7371 + 27171. Is a a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 7*n**4\/12 + 149*n**2 - n. Let w(v) = -18*v + 18*v - 8*v**2. Calculate w(m(o)).\nAnswer: -1568*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -79413*y - 3*y**4 + 79414*y - 71*y**2 - 2*y**4 in the form l*y**2 + u*y + o*y**4 + x*y**3 + c and give l.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/2784*29*(-24)\/160?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/(o**(-5)*o))\/o)**(-18)\/(o*o**(1\/4))**(32\/3))**18 assuming o is positive.\nAnswer: o**(-1860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 47569 = -4*a, -a + 3*a + 23771 = 5*z. Let b = a - -214015\/18. What is the common denominator of ((-117)\/26)\/(0 - 45\/93) and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 4*i - 37, -5*i + 118 = -j + 67 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 80951 divided by -1\nAnswer: -80951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (281\/2)\/(5 - (-66)\/(-12)). Let i = 280 + z. Let u(m) = 24*m**3 + m + 1. Give u(i).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (16 - 14 - (6 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*n - 10103 = 0, 10*d = 7*d - 4*n + 6065. What is the remainder when d is divided by 56?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 26*b**2 + 3*b - 32. What are the prime factors of f(5)?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 164234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 66 - u**2 - 6*u**2.\nAnswer: -7*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express s + s**3 - s + (-2*s**2 + 2*s**2 + s**2)*(-s + 5*s + 3*s) + (-2*s**2 + s**2 - 2*s**2)*(2*s + 0*s + 0*s) as d*s**3 + j*s + a*s**2 + z and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-75 + 38) - (79 + -4)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.6417 + 8.71. Let a = f + 70.7317. Round a to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*b - 72*b = -39. Calculate the smallest common multiple of b and 33.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423 and 37130.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from boebzroooookooo. What is prob of picking 1 z, 1 k, and 2 o?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfnniynynfyfysn. What is prob of sequence ifn?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 419*u + 162479. What is i(-390)?\nAnswer: -931","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1052287*g*k**2*x**3 - 1475*g*k**2*x**2 - 69*g*x**2 - 4*k**2*x**3 + 5*k**2 wrt x.\nAnswer: 6313722*g*k**2 - 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -235\/21 + 83\/7. Determine i so that -2*i**2 + 0 + t*i**3 + 4\/3*i = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21627.742 - -21598. Let z = l - -29.5. What is z rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2675334068?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - o + 40 = 0, 0 = 80416*j - 80409*j + o - 73 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 7\/6 (b) 0.2 (c) 2\/15 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s. Let n(p) be the third derivative of 0*p**4 + 0*p**3 + 0 + 0*p + 26*p**2 - 1\/10*p**5. Calculate i(n(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 1:40 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554*a + 177 - 57791*a + 52.\nAnswer: -58345*a + 229","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 279 - 277. Let f(m) be the second derivative of 0*m**3 + 1\/3*m**4 - 1\/10*m**5 + 0 + 0*m**h + 5*m. What is the third derivative of f(q) wrt q?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1055037 (base 8) to base 13.\nAnswer: -9ca88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6439107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 563057 and 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -901.092 + 1.\nAnswer: -900.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 24 = -3*z. Let l(i) be the third derivative of i**4\/24 + 4*i**3\/3 + 12*i**2. Let x be l(z). Solve 5*w - 4*r = 0, x*w + 2*r - 22 = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2 + 8 = 0. Suppose n - 10 = h. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 6 = -b. Let g(f) = f**3 + 4*f**2 + 4*f + 3. What are the prime factors of g(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*(-8)\/(-72)*-1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, -5, 180, -4, 10, 3 in ascending order.\nAnswer: -6, -5, -4, 1, 3, 10, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4047*t**3 - 255*t**2 + 255*t**2 - 4051*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 - 3*c**3 + 2*c**3 + (3 - 3 + c**3)*(1 + 3 - 2) - 24*c**2 - 16*c**3 + 24*c**2 to the form b + g*c + y*c**3 + d*c**2 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1613 (b) 0 (c) -1\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -23, -50, -87?\n\"Answer: -5*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y - 4 - 5 + 8. Let q(i) = i. Calculate -o(p) + 5*q(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1533899 * 4\nAnswer: 6135596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4641 + -4641. Solve -4*g + 3 = h - 13, -4*g + 12 = v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and 85?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 9\/12*128\/96 + -48.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from szcsglddl.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20463.31 decades to centuries.\nAnswer: 2046.331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 22 = 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 79332.\nAnswer: 1031316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 122*a**2 - 885*a + 87. Give o(-7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, l: 8, t: 2, q: 4}. What is prob of picking 2 q and 2 t?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88008 = 528*j - 798*j + 1349*j + 1237*j for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 7, r: 3}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -85590 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 13 + 3 = -2*c, 5*t - 2 = 4*c. Let r = -2\/17 - -21\/34. Suppose -5*b + 3*b = 0. What is the nearest to b in c, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -17*r + 486 - 486 + 3*r. Let u(c) = -42*c**2. Give g(u(h)).\nAnswer: 588*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 12 - 4 = 0. Let o(u) = -7*u - r*u + 13*u - 6*u. Let w(v) = v**2. Give o(w(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j**3 + 4*j**2 - 3*j - 3. Let z(n) be the second derivative of -7*n**5\/20 - 5*n**4\/12 + 2*n**3\/3 + 2*n**2 - 82*n. Determine 5*x(l) + 4*z(l).\nAnswer: 2*l**3 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**4\/12 - g**3\/3 - g**2 + g. Let z be i(3). Let s = 0.06 + 0.14. What is the second biggest value in s, z, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124 + 69. Let l = -60 - v. Which is the nearest to l? (a) 0.3 (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -42, -3, 4 in decreasing order.\nAnswer: 4, -1, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/514050 and -43\/30452.\nAnswer: 340301100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -6758658\nAnswer: 6758641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*q + 239*q - 708*q**2 - 1554*q wrt q.\nAnswer: -1416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 12*r**2 - 14*r + 1. Let g be (4 - (-7 - -9))*-5. Give y(g).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, n: 3, f: 3, g: 1, a: 3}. Give prob of sequence nbga.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(405)*-2*-4 + ((sqrt(405) + 1 + sqrt(405))*-5 - (sqrt(405) + sqrt(405)*2*-4)))**2 + -3.\nAnswer: -360*sqrt(5) + 10138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 7. Let h = 1 + 0. Let f(g) = -1 + g + g - h. Give f(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (0 + 2 + (-4 - -5))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11487408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2)\/p)\/p)**35 assuming p is positive.\nAnswer: p**(-175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 161\/5. Let z = -6 - -29\/5. What is the nearest to 4 in o, -1\/8, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048 take away -4263?\nAnswer: 5311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5614 = -2*f - 2*f + 2*p, -4*f - 3*p - 5639 = 0. What is the smallest common multiple of 16 and f\/(-8) - 1\/(-4)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2809.088 + -2720. Let w = -89 + n. Let l = w - 0.058. Sort 2\/3, l, -3\/8, 2 in descending order.\nAnswer: 2, 2\/3, l, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 237 - 199. What is the nearest to 0 in w, -3\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2821378914 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -3\/5 (c) -1\/5 (d) 904\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Let x(k) = -3*k. Let j(y) = 5*i(y) + 2*x(y). Let s be (2\/5)\/((-3)\/(-30)). What is j(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**3 - 26*x**2 - 386*x + 2707. Calculate u(13).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**4 + m**4 - m**4)*(5*m - 3*m + 0*m - 2).\nAnswer: -8*m**5 + 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 143, 214?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9488 - 1352220.446\nAnswer: -1342732.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 127 + -28. Let k = r + -96. Calculate the highest common factor of k and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.8041 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2. Let g = 7 - 5. Let p(b) = 8*b + b**g - 8*b. Determine p(a(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in -1, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(33)\/(sqrt(3)*-2)))\/((1*sqrt(40)*3)\/sqrt(10)).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -322123644 divided by -36\nAnswer: 8947879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 10:31 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -162319278 greater than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g**2 + 410*g + 714. Give k(70).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1048475488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1. Let y(q) = -3*q**4 + 5*q**2 - 4. Let s = 21 + -22. Let z = 10 - 6. Let b(g) = s*y(g) + z*v(g). What is the third derivative of b(x) wrt x?\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*1\/(49\/630)*15*(-3)\/(-90)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -703, -1, 0 in increasing order.\nAnswer: -703, -1, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(108)*-2 - sqrt(108)) + 1)*1.\nAnswer: -18*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49458?\nAnswer: 2, 3, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 13. Let q be 1*x*(-3)\/(-3 - 0). Solve -5 = -q*g + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 14*m - 40. What is the remainder when 19 is divided by r(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 + 3*t - 21*t - 90)*(86 - 43 - 32).\nAnswer: -198*t - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 13*y**2 - 15*y - 5. Let x be t(-13). Let k = 193 - x. Which is the closest to -1\/3? (a) 0.13 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.867 - 0.033. Let d = f + 3. Which is the nearest to 0? (a) d (b) 2\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325961.\nAnswer: 71, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, h: 3, k: 3, l: 1, r: 3}. What is prob of picking 2 h and 1 r?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 7, o: 9}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 28513.33us in seconds?\nAnswer: 0.02851333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 184748 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1049 = 69*i - 359. Is 27 a factor of (-45)\/(i\/(-2))*-33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99978 divided by 19\nAnswer: -5262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 1453149902?\nAnswer: -1453149902.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u - 4*u + 12*u - 3*u. Let i(m) = -11*m**2. Give b(i(o)).\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = 2497 - 2097 for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007545 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1852 or -314703\/170?\nAnswer: -1852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22965391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18 + -16)\/(1\/10). Solve 5*u + 0*u = -l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 919 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27226 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06 + 5.06. Let u = 5.2 - a. Let z = u - 0.3. Is z <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8*-6*(13 - 11). Let n be -1 + (-6)\/z + 30. Which is the closest to -1\/3? (a) 1\/3 (b) n (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*h + 5. Suppose d = h*d - 30. Suppose -144 = -d*l + 126. Calculate the remainder when 31 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12992 divided by -6.\nAnswer: -6496\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4)*(-8)\/(-6). Let z = 2 + r. Determine t so that 1\/5*t**2 + z + 0*t + 1\/5*t**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**2 - 65*d - 171. Calculate k(20).\nAnswer: 1329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - v - 1 - v)*(239 - 239 - 39*v**3) - 2*v**4 + 19*v**3 - 33*v**3 + 13*v**3 - 3*v**2.\nAnswer: 76*v**4 + 38*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41106 divided by -442.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**3 + 24. Let m(q) = -48*q - 1. What is j(m(i))?\nAnswer: -6912*i**2 - 288*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6725303 - 16?\nAnswer: 6725276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 8*a**2 + 12*a - 4. Let s be f(-4). Suppose s*d - 15*d = -3531. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13241033 (base 5) in base 3?\nAnswer: -20210200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 615 and 3?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 - 10)*(-36*w + 840*w - 78*w) to u + i*w and give i.\nAnswer: -9438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60654 divided by -109.\nAnswer: 60654\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3400*k**2\/3 - 115324596*k + 407028.\nAnswer: -4*(k + 101757)*(850*k - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from yayajyayyjajja.\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*w + 47158 + 29535, -w + 19181 = -8*h. What is the thousands digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11771*r**3 - 2 - 8182*r**3 + 2 - 7867*r**3.\nAnswer: -27820*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 61339789?\nAnswer: 61339789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -78.1835 + 0\nAnswer: -78.1835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**6 - 2*z**2 - z**6 - 2*z**6 - 9*z**6 wrt z.\nAnswer: -1200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2800145930 to the nearest integer?\nAnswer: 1409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 206470315?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1312 (base 4) to base 7.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-363)*9\/6\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 5, -4.257?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 8*n**2 - 12*n.\nAnswer: -n*(n - 6)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2178)*1)**2 + 3.\nAnswer: 2181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*-1 + (-42)\/(-7). Suppose -2*o - 4 = 0, -u*r - 14 = -5*r + 5*o. Solve 1 = r*h + 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30222 + -144301?\nAnswer: -230023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 457929 - 15382750967\/33592. Let j = f - 1007863\/3459976. Let q = j + -2893\/1030. Find the common denominator of q and 8\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x. Suppose 0 = r - 2. Let z(i) = -i**2 - 7*i**r + 10*i**2. Calculate f(z(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d\/d**0)**(1\/3)\/(d**(-6\/7)\/(d*d\/(d\/(d\/((d**7\/d)\/d))))) assuming d is positive.\nAnswer: d**(-17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*a + 12 = 0, -2*s + 14 = 2*s + 2*a. Suppose s*z + z = 0. Solve z = u - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -9. Suppose -3*k + 40 = 3*g - 71, 0 = -g - b*k + 43. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 243 = -3*l, l + 321 = 5*z - z. Suppose 5*q = -4*t - 199, -8*t + 3*t - 236 = 2*q. Let u = t - -56. What is the greatest common divisor of u and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 - (-3 - 1) - (-5020 + 4985).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from {p: 3, m: 4, w: 11, v: 1}.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*m - 93, -54*r + 59*r - m = 111. Calculate the least common multiple of r and 838.\nAnswer: 9218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 1\/4 (c) 3\/4 (d) -1\/11 (e) -0.2 (f) 59 (g) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-2)\/372*(-58 + 49). What is the third smallest value in k, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*d**5 + 127196*d**4 - 155344*d**3 - 226064*d**2 + 56512*d = 0. Calculate d.\nAnswer: -1, 0, 2\/9, 2, 3532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63582 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2 = 5*v + 4*t, -4*t = -4*v - 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -2*f + 5*y, 119 = 2*f - 8*y + 35 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22833)\/(-118))\/(36\/(-8))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 7. Let f = 3 + g. Let i be ((-4)\/3)\/((-2)\/3). Sort i, -3, f in descending order.\nAnswer: i, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*g**2 + 5 - 32*g**2 - 5.\nAnswer: 38*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 35\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h + 3*m = 32*h - 2, 3*h + 5*m + 16 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 6, 0 = 3*w + 5*z - 4*z. Suppose -5 - w = -h. Solve 0 = 5*x - 3*x + 4*q + h, -4*q - 1 = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 7:46 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 1. Let c be p(-1). Suppose a - 36 + c = 0. Suppose -4*q = -5*l + a - 5, 13 = -l - 4*q. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3472, 0.2, -0.5, -2\/11, -16, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 + 26\/6. Let q(z) be the third derivative of -5*z**4\/24 - z**3\/6 + 43*z**2 + 2*z. Let v(k) = -6*k - 1. Determine t*v(w) - 5*q(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 14*b. Let m(i) be the third derivative of 0 + 0*i + 222*i**2 + 0*i**3 + 0*i**4 + 1\/60*i**5. Determine p(m(w)).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/16 - (-341)\/88. Solve 0*w = 2*w + s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1.6. Let x = -0.5 - d. Which is the closest to x? (a) -1\/10 (b) 4 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119)*-5)*6*-4)\/(1*5*sqrt(847)).\nAnswer: 96*sqrt(17)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*x**5 - 60*x**5 + 17*x**5 + (-x + x - 2*x)*(-6 + 6 + 2*x**4).\nAnswer: -62*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128521 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from iumyytm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 18068 = -11305. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c + 0*c)*(8 + 2 - 4 + (0 - 3 + 2)*(5 - 2 - 1) - 1 + 1 + 1).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2681?\nAnswer: 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3 - 38606*l**2 + 231605*l - 193000 = 0. What is l?\nAnswer: 1, 5, 38600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 14 + -3 - (42 + -36). Solve 2*d + l - 3*l = -6, 0 = z*d - 3*l + 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (82 + -12)\/(-7) + -9379. Which is smaller: -9388 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 1)*(7 + 3 - 3) + 2 + 0 + 0)*(11079 + 16*c**2 - 11079).\nAnswer: 144*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19595629 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59999\/65 - -923. Is v at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 19. Which is smaller: r or -4\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**3 + 18*w**2 + 33*w + 78. What is i(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 3*r**2 - 2*r**2)*(-9*r + 5 - 6 - r).\nAnswer: 10*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 - 5*r + 248. Let u be y(10). Sort 131, 3, -1, u in descending order.\nAnswer: 131, 3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33727\/12 + 2823. What is the common denominator of u and (-8)\/52 + (-809)\/234?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*(n*n*n**(-2\/11)*n)\/n)**(-46))**40*(((n\/(n*n*n*n**(-1)))\/n)\/n*((n*n*n**(2\/25))\/n)\/n)\/((n\/(n*n**(3\/8)))\/n*n*n*n**(-3)*n) assuming n is positive.\nAnswer: n**(-15459399\/2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -7.1. Let r = 0.1 + w. Suppose -2*u = u - 6. What is the closest to r in 5, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -209 + 324. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 > -1992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b26 - 7712?\nAnswer: -48b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 8 = -9*w. Let z = w + 35. Let x = z - 29. Solve -3*v + x*k + k + 3 = 0, v + 9 = -k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 448202 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 0)*(1 - -3) + 7. Suppose d*n - 5*n - 1806 = 0. List the prime factors of n.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(588) + -6*1*sqrt(588))*-5)\/((sqrt(48) + sqrt(1200)*2 + sqrt(48) - sqrt(48))\/(2*sqrt(24)\/sqrt(2))).\nAnswer: 350*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (5 - 38) - (9 - (-9 + 20))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/199580 and 61\/44.\nAnswer: 2195380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -750 divided by -6.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -636.8 - -637.2. Which is the closest to -2\/3? (a) 0 (b) -1 (c) g (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -408 + -12?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 8*t**2 - 8*t + 5. Let z be s(9). Suppose 3*o - z = 4. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.601 + 34.601. Let f = 2183.88746 - 2213.88746202. Let a = o + f. Round a to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/10 - 57538\/(-25179). Let h = -32914 + 118391660\/3597. Let o = y + h. Find the common denominator of o and -85\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2533405 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4486 + -4305. What is the remainder when 717 is divided by y?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.041283 and 37.\nAnswer: 36.958717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/16)*a**(3\/14))**(-43) assuming a is positive.\nAnswer: a**(-129\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + -3 + sqrt(304)))**2.\nAnswer: -128*sqrt(19) + 4880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -33. Let g = 181\/4 + -45. What is the smallest value in t, g, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7480724 is divided by 935086.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i - 1668. Is 31 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/8881 and 42\/535.\nAnswer: 44405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19098*g*t + 3*t + 8702 with respect to g.\nAnswer: -19098*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31341 - 31341 + 120*z.\nAnswer: 120*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 22*a - 44. Let n be q(20). Let g be (0 - n)\/(20\/15) + -99903. What is g rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*h = 48*h + 3*p + 38, -h - 5*p = 50 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/155*6*31\/2139*-23.\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.8563392 + 5.16634. Let w = 0.73 - 0.42. Let h = o - w. What is h rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 37\/(-1)*-1*1. Suppose j = 3*l + 19. Solve 0 = -4*b + 2*b + 3*c + l, -4*b - 4*c - 8 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-4))\/1)\/((1350\/(-300))\/((-6)\/12)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-10) - (-5)\/2. Suppose 5*w - 4 = -2*a, -4*w + 28 = u*a - 2*w. Calculate the remainder when 45 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 9) + (1 - 1 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 - 3*k**5 + 7*k**5 + (-4 + 4 - 3*k)*(-11*k**4 - 183*k**4 + 47*k**4) + 3*k**5 + k**4 - k**5 + 0*k**4.\nAnswer: 447*k**5 + k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a hour in minutes?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -516*y**6 + 90*y**2 wrt y.\nAnswer: -61920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 10*g - 332. Let c be u(33). Let y be (c - (-2 + 6))*(-1 + -1). Solve -3*t = -0*t - y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 376533 and 77112?\nAnswer: 189772632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 69104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = m - 8812, -i - 1 = 3. Suppose 2*t = 16*t - m. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) + (sqrt(270) - (2*sqrt(270)*-5 - sqrt(270))))\/sqrt(10))\/(-2*sqrt(9)*2 + (sqrt(9)*2*-2 - sqrt(9))).\nAnswer: -13*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/6)\/(1869804\/(-3132))?\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1548 - -0.1599982. Round u to 4 dps.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4690744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**2*u**2 - 22226*j**2*u + 2*j*u**2 + 1858*j*u + 7 wrt j?\nAnswer: -2*u**2 - 44452*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2050968 by 683656.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**3 - 12*w**2 + 16*w + 5. Let a be i(4). Let d(p) = -20*p - 8. Let u be d(-5). Calculate the highest common divisor of u and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szy when three letters picked without replacement from {x: 1, l: 1, y: 1, s: 1, z: 1, r: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j**2 + 27*j + 5. Let i(f) be the second derivative of f**4\/4 + 7*f**3\/3 + f**2 + 10233*f. Give 5*i(m) - 2*w(m).\nAnswer: m**2 + 16*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 579576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 + 1. Let n = 2.41 - q. Let x = n + 0.19. Which is bigger: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7962044?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 12:51 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h**2 - 7*h + 7. Let v(w) = 4*w**2 + 7*w + 3. Let d(l) = -3*l**2 - 6*l - 2. Let j(z) = 5*d(z) + 4*v(z). Calculate -7*j(n) + 2*q(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*k = 363*k - 35462. Calculate the remainder when 12851 is divided by k.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b + 141 = -8*s + 11*s, 5*s = -2*b - 51 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1761580 and 67\/880790.\nAnswer: 1761580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -819*v + 819*v - 36*v**2 - 5*v**2 to o + f*v**2 + g*v and give f.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29929227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 2\/9 (c) -2\/119 (d) -0.8 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 13*v + 6*x + 16 = -21*v + 2*x, 15*x = -39*v + 498 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7 - 3*z + 4 + 0. Let u be h(-2). Suppose 5*x = 5*p - 60, 3*x - 52 = -u*p + 2. Is p != 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from enktttntttetnetettkk. What is prob of picking 2 k and 1 t?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -454674 or -188?\nAnswer: -454674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 5)*(-1 + 0 + 3)*(-4 + 3 + 3)*(-58 + 251 + 84)*(-2*j + 2*j + 2*j) in the form b + y*j and give y.\nAnswer: 4432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from enannnea. What is prob of picking 3 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-1) - 1) + 4. Let p(w) = 2*w - 12. Calculate the remainder when (-197)\/(-5) - s\/5 is divided by p(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 12:11 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2074 divided by -2.\nAnswer: -1037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10925489 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 6*o**2 + 2*o - 9. Let k be i(6). Suppose 24 = -k*q + 7*q. Calculate the smallest common multiple of 19\/((-152)\/(-8))*12\/2 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjfj when four letters picked without replacement from {f: 5, j: 3, z: 1, v: 3}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -532 (b) 2\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -15*y + 1. Let j be z(1). Let r be (-6)\/21 + (-312)\/(-14). Let c = r + j. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -d + 20, -j + 3*d = -31. Let u = 134 - j. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25, 2, 5, 4\/23, -3, -0.4, -0.17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038 less than -208620?\nAnswer: -208620.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**5 - 752*l**4 + 1484*l**3 + 752*l**2 - 1488*l = 0. What is l?\nAnswer: -1, 0, 1, 2, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261, -313, -155, 213, 791, 1579, 2577?\nAnswer: 3785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1957432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 7.6. Let h = 15.33 + -0.33. Let o = h - 10. Sort o, -5, d.\nAnswer: -5, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*b**3*q**3 + 3308*b**3*q**2 + 2*b**3*q - 9*b**2 - 391*q**2 + 3101*q + 13 wrt q.\nAnswer: 78*b**3*q + 6616*b**3 - 782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -246448000 rounded to the nearest 1000000?\nAnswer: -246000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 3*z**2 - 5. Let f(l) = l**2 - 1. Let a(q) = 2*q - 3. Let c be a(3). Let k be 1*(0 - c\/(-3)). Determine k*y(n) - 3*f(n).\nAnswer: -n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/4, -1 in ascending order.\nAnswer: -1, -0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 6556.360006 to the nearest 100.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s - 999 = -d, -370*s + d + 121 = -367*s for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5085 + 5106. What is the remainder when 644 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**4\/o**(-15) assuming o is positive.\nAnswer: o**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s**2 + 19*s + 36. Let f be z(6). What is the greatest common divisor of 1878 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 125 in 0.09, -1\/10, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 41 - 272 - (-4 + -2 + 3). Let r = x + 230. Let t(q) = -8*q**2 + 3*q - 2. Calculate t(r).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 784 = -i - 785, 0 = -q - 5*i - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/14 and 15\/62.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7\/12 - 5\/6. Let r = -387 + 130. Let n = r + 253. Sort -1, n, b, -1\/6.\nAnswer: n, -1, b, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-64)\/288 + 52\/(-90). Which is smaller: n or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-8 - 5)*(-2)\/(-11)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**5\/7 - 24*r**4\/7 - 10*r**3 + 24*r**2\/7 + 72*r\/7 = 0?\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chhc when four letters picked without replacement from {h: 2, c: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 376\/9588*34\/14?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 808168 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 514967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.5 + 2.5. Sort 1\/7, y, -2\/19 in decreasing order.\nAnswer: y, 1\/7, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 18*w + 6. Calculate t(-12).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2 (b) 4.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a. Let x(f) = -f + 14. Give -4*u(y) - x(y).\nAnswer: -3*y - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 + 1 = 0. Suppose 4 = y - 2*y + 3*s, 0 = -y - s + g. Suppose -y*d - 50 = -4*d. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -5 + -2 + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267*-0.354995.\nAnswer: -94.783665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -4*n - n. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {d: 19, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/725305 and 3\/67045.\nAnswer: 7978355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 78 = 11*j. What is the remainder when 24 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -35) + -5 - (-2 - -17).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288021187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 54921446297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 123112 (base 4) to base 6\nAnswer: 12034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*a - 89*a + 54. Solve -k = -3*y + 10 + 4, -3*k = -y + a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -8)*(0 + 1). Let j(d) = -2 + b + 0*d + d. Let t(n) = 1. Let w be ((-2)\/3)\/(((-336)\/(-36))\/14). Give w*j(o) + 4*t(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let s(v) be the first derivative of -5*v**2 + 7. Give s(h(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2430, -4835, -7262, -9723, -12230, -14795?\n\"Answer: -2*b**3 + b**2 - 2394*b - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303765508.\nAnswer: 2, 23, 3301799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (17 + (1 + -13 - -5)) - 77.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -7. Let q = 6.3 - g. Round q to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22019002 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54 or -1073?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1100 is divided by 248?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*7\/(-140)*(-2)\/5*-5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 6*u - 14. Let k be z(4). Let f be (k\/7)\/((-525)\/490). Factor 2*h**4 + 14\/5*h**3 + 0*h + f*h**2 + 0.\nAnswer: 2*h**2*(h + 1)*(5*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14223 times 29\nAnswer: -412467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 412277*t + 3298215. What is h(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 6*r + 7. Calculate a(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203312 + -1332003311?\nAnswer: -1331133333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 309009855 to the power of 1\/4, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 6125?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14453 by -21.\nAnswer: -14453\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7571 is divided by 1221?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 114139.\nAnswer: -14\/114139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 33 = 3*z, 4*w - 7*z + 2*z = 115. Let q = w - 13. Let t(s) = -q + 41*s + 17. Let l(a) = -2*a. Calculate t(l(r)).\nAnswer: -82*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 8:58 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13 - -1 - 4) + -4. Suppose p + p - a = 0. What is q in 1 + 3\/2*q - 1\/2*q**p + 0*q**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/4, -32, 3, -1802, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396282832?\nAnswer: 2, 11, 787, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a hour in seconds?\nAnswer: 23760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 88*o + 64. Let g(v) = 3*v + 2. Let x(n) = 32*g(n) - p(n). Let f(a) = a. What is 6*f(h) - x(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007520743 rounded to six decimal places?\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 19*f**2. Let p(d) = -327843*d + 3. Give p(j(q)).\nAnswer: -6229017*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -72 (c) 1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -4*a + 5*f - 79, a - 1 = 5*f. Suppose b + 3*b = -5*s + 29, -4*b + 4*s - a = 0. Solve -1 = 2*j - 3*j + z, -b = j - 3*z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/325)\/(1\/25).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594 is divided by 41?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.36 + 0.06. Let d = 15\/28 - 2\/7. Let g(x) = -x**2 + 3*x + 29. Let o be g(7). Which is the smallest value? (a) m (b) d (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 4*g**2 + 6*g + 3. Let t be a(5). Suppose y = 4*x + t - 142, x = 3*y + 28. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7579815 to the nearest integer?\nAnswer: 2753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**2 + 307*j + 3065 + 4438 - 8*j**2 + 3896 wrt j.\nAnswer: -18*j + 307","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.628521 decades to millennia.\nAnswer: 0.00628521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 - 207*n + 16254. Determine w(-115).\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a minute?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*y = 10 + 9, 0 = -3*y + 15. Are 3 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5953 = 28*j - 29*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -344, -517, -676, -815, -928, -1009, -1052?\nAnswer: -1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 14*s - 1. Suppose 5*g - 10 = 0, -3*i = -2*i - 3*g - 4. What is the remainder when r(7) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + 1 - sqrt(3))*6 - (sqrt(3) + 1 + sqrt(3) + -5)) + -5.\nAnswer: -7 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2747597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2 - -4) + (18 - 25) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 13. Suppose -5*n + 20 = m*c, 2*n - 5*c + 20 = -n. Suppose n = 2*g + 2*g + 124000. What is g rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60 or 15450\/259?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11342 + -11340. Let p be 23\/7 - (-4)\/(-14). Solve 0*q + 2 = 2*s + p*q, 0 = 5*s + 4*q + c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + (1 + -7 - (-38 + 43)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5*(5 + 0) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4341, 4295, 4249, 4203?\nAnswer: 4157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ef - 0?\nAnswer: -ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 4:39 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 - 82. Let t be (-2)\/1 - (2 + -7). Suppose -117 = -j*q - t*q. Calculate the remainder when 33 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 43\/2. Let h = 1 - 1. Which is the third smallest value? (a) -3 (b) i (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/117 + 335\/936. Which is the nearest to -2? (a) -0.4 (b) 11 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + 11102222?\nAnswer: 11110021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*s - 27*s - 530*s + s - 1 + 1 + (2 - 1 - 3)*(-3*s + 4*s + 0*s) + (1 - 3*s - 1)*(-3 + 2 + 2) as c + q*s and give q.\nAnswer: -595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2257403\/76 - -29702. What is the common denominator of -97\/114 and g?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**2 + 1. Let c be o(1). Let i(u) = 6*u**4 - 5*u - 1. Let n(k) = -k**4 + k. Let s(f) = c*n(f) - i(f). What is the first derivative of s(b) wrt b?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 2:43 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (70\/12)\/7 - -1 and ((-9)\/12)\/((-18)\/202)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22122\/3 + (-9 - (-8 + 4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/23 (b) 24 (c) 1.1024\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3586218*-0.3.\nAnswer: 1075865.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -3*o**3 - 13*o**2\/2 - 14. Find the second derivative of r(b) wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 + -4.95. Suppose -73*s + 72*s + 2 = 0. Suppose 4*w + s*v + 0*v - 100 = 0, -4*w = -v - 94. Put -1, w, t, 1 in increasing order.\nAnswer: t, -1, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53381 (base 10) in base 5?\nAnswer: -3202011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 249281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 36*m**2 + 31*m - 130. Let f be a(-35). Suppose -58 = -f*s - 48. Suppose -s + 1\/2*x**3 - 3\/2*x**4 - 1\/2*x + 5\/2*x**2 = 0. Calculate x.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-7 - (-95)\/10). Let h(m) be the first derivative of 33\/8*m**4 + l*m**3 + 3\/4*m**6 + 0*m + 33\/10*m**5 - 2 - 3\/2*m**2. Let h(n) = 0. Calculate n.\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*w + 973 = -2419 - 1990 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28974.\nAnswer: 2, 3, 11, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 336.30997528 and -43.\nAnswer: 293.30997528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 177530 to the power of 1\/2, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 3. Let n be m(6). Sort 5, 2, n in ascending order.\nAnswer: n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.7 or 34\/8635?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -280 - -164. Let r = 1753 + o. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*x + 2*x - x)*(1 + 0 + 0) + (3*x - x + 0*x)*(-1 - 3 + 7))*(-62 + 62 + 9*x) + 4*x**2 + 5 - 5 as w + s*x**2 + l*x and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 + 87.025. Let t = v - 0.425. Which is the fourth biggest value? (a) t (b) -2\/7 (c) -2 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a factor of 69677925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1709458, 1709468, 1709476, 1709482?\nAnswer: 1709486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-100)\/(-75)*15\/4. Put -23, -4, u in descending order.\nAnswer: u, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5944284 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -5 - (-2)\/(-2). Let p = -443.4 + 443. Which is the second smallest value? (a) x (b) p (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3351 - -1.3360891. Round d to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 9. Suppose 4*w - 28 = -0. Let a(h) = -17*h - 28*h + 0 + 72*h - 21*h + 1 - h**2. Let f be a(w). What is k(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - c = 3 + 16, 2*c = -10. Let u(l) = 13*l - 8. Is u(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3))**16*m**(-5\/3)\/(m*m\/(m\/((m**(3\/4)\/m)\/m)))*((m\/m**(-1\/3))\/m*m*(m\/(m**(2\/3)*m))\/m)**13 assuming m is positive.\nAnswer: m**(59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k + 16*k + 6*k - 46*k + 12*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 226 + -221. Let b be 10\/z*(4 - (-12)\/(-8)). Solve -b*p - 20 = -5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/15*(-9)\/(-15).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4 + 10*i**3 + 37*i**2 + 60*i + 36 = 0. What is i?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577198?\nAnswer: 2, 41, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1381524869?\nAnswer: 563, 1499, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -612834\/5893 smaller than -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/20 and ((-48)\/15)\/(-3 + 14\/3)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 divided by -45.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -63812*r + 19 + 60609*r - 19 in the form w*r + c and give w.\nAnswer: -3203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3344615 to the power of 1\/2, to the nearest integer?\nAnswer: 1829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*n + 0 + 26*n + 0.\nAnswer: -67*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.025, -91, -2?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0 = 8. Calculate the remainder when 30 is divided by 12 - (t + -5 + 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180998759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 4, e: 2, u: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(4)\/sqrt(2) + 2).\nAnswer: 3*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.77 (b) 15 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.18 - 0.2. Let u = 0.007 - 0.287. Let f = n + u. Which is smaller: f or 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11737451 to the power of 1\/2, to the nearest integer?\nAnswer: 3426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 1 + 2. List the prime factors of -2*(m*-4 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*w**2 + 43*w**2 - 10 - 20*w**2 to the form b + x*w + p*w**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 13*t - 16. Calculate the least common multiple of q(-11) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.25, -2346, -0.2?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 7. Let s be g(-4). Let b = -44 - -100. Suppose -4*n + b = m - 6*m, -2*n - 5*m = -58. Solve -5*k = 3*x + x - n, -x - s*k + 10 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = r - 5*z - 16, 4*r - z = 32. Let i = -5 + r. Suppose u = -i + 18. What is the greatest common divisor of u and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 (base 10) in base 11?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2305859\/3 + 768625. Factor -2\/3*k**2 - 8 - r*k.\nAnswer: -2*(k + 2)*(k + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28665\/50)\/63*-17. Is -156 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420385112 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -152234 from -934238.\nAnswer: -782004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 9 = -5*g. Let l = g + 5. Suppose -30 - 33 = -l*y - 3*j, -3*y + 66 = -5*j. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 times -40873?\nAnswer: -940079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71281 = -4*c - 3*c. Let a be (c\/34)\/(1\/2). Is 599 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/((-3)\/(-9)). Suppose -2*o - 2*h + 58 = 0, f*o + 2*o - 106 = -2*h. Let l = 100 - 77. Is o equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 1257 = 5*l. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85230169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + o + 101. Give d(0).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109965994 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46, 56, 72, 94, 122?\n\"Answer: 3*x**2 + x + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 252644 divided by 126322?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 13) in base 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (28 - -10) + (-22 - -14 - -4).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 26 = 4*j - 29, -3 = -j - 2*n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8 - 4*k**2 - k**2 + 4*k**3 - k - 3*k**3. Let n be ((-2)\/5)\/((-1)\/1465). Let o = n - 580. What is r(o)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4350313 and 5932245?\nAnswer: 65254695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21937 + 21958. Calculate the least common multiple of 49 and r.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/81*-3*1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/80*(-4 - 0)*(-13 + 3). Solve -3*i - 23 = 8*y - 4*y, 2*i + n = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94.624 + -95. Let f = -0.176 - i. Sort -3, -8, f in increasing order.\nAnswer: -8, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -28. Put q, 0, 2 in increasing order.\nAnswer: 0, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(6)\/sqrt(3) - (sqrt(2) + -2 + -3)) + 4 + (4*-2*sqrt(288) - (sqrt(288) - ((1 + sqrt(288))*1 + sqrt(288))**2)).\nAnswer: -55*sqrt(2) + 1162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2*t + 74 = 0, c - 1439 + 1450 = t for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 0, 4, -2 in ascending order.\nAnswer: -43, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 553939 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-1)\/1)\/(16\/(-64))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 58 = -202. Let p = u - 26. Let d be (-9)\/21 + (-53)\/p. Is d equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (3 + 0)) + 10 + -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -0*d - 20. Suppose -5*z - 4*r + 48 - 13 = 0, -d*r + 40 = 5*z. Suppose z*v - 4*v = -11. What is the lowest common multiple of v and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**6 + 266*f**5 + 205*f**3 - 1779666*f**2.\nAnswer: -240*f**3 + 15960*f**2 + 1230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 862*u*v*z**2 - u*v*z - u*v + 17*u*z**2 - 5884*u*z + v*z - 6*z**2 wrt z?\nAnswer: 1724*u*v + 34*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 6*x - 2*x + 16, 3*x + 5*p = -23. Suppose 4*t + 5*k = -18, -2 = t - 4*k - 8. Let s = -0.2 - -0.3. What is the closest to 0.1 in s, t, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 - 553*l**3 - l**2 - 2*l**2 - 220*l**3.\nAnswer: -773*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(21\/2) + 0. Which is the smallest value? (a) 3 (b) -1\/11 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 3*l + 36. Let h be w(-7). Suppose 0 = 6*a - h*a + 14. Let p be (-625*312\/(-3))\/(a\/2380). What is p rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -138 + 52097?\nAnswer: 51a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*v - 14 = 3*g, 16 = 5*v + 3*g. Let k(n) = 3*n**2 + 9*n + 5. Let z be k(-3). Solve 0 = b - 6*b + 5*u - 15, v*u = -z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1959*r**3 + 5*r**2 + 5*r - 5. Let z(m) = -5877*m**3 - 16*m**2 - 16*m + 16. Give -16*y(g) - 5*z(g).\nAnswer: -1959*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1809254 + 1265277. Let u = 305977 + o. Round u to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/15)*t*t\/(t\/t**(-4\/11)))**(3\/4))**27 assuming t is positive.\nAnswer: t**(2241\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -227*u + 2. Let a be d(-1). Let v = 439 - a. Let k = v - 125. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + x - 2 = 0, 3*z + x = 7*z + 1. Let v(p) = -7*p**2 + 5*p - 8. Let t(g) = g**2 - g + 1. Calculate z*v(a) - 6*t(a).\nAnswer: a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**2 - 1644*p + 1648 = 0. What is p?\nAnswer: -412, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*g - 73900, 4*g + 25225 = 4*u + 320825. What is u rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 + 4*l - 10. Determine q(6).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(-2*y + 0*y + 0*y) + 12 - 3 - 7 + 4*y.\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3245028 to the power of 1\/2, to the nearest integer?\nAnswer: 1801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/1751 + 1747\/3502. Which is the second smallest value? (a) g (b) 0.3 (c) 3 (d) -1\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/((-21)\/(17010\/45))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190342 (base 11) to base 6.\nAnswer: 10141313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 - 348 - 2*c**2 - c**2 - 12 - 186.\nAnswer: -3*c**2 - 546","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1029) - -2*sqrt(1029) - 2*sqrt(189))\/(sqrt(21)\/(sqrt(3) + sqrt(12))*5).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*o - 4*o + 3*o)*(-4*o**2 - 2*o**2 + 5*o**2) in the form z*o + u*o**3 + q*o**2 + d and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29566330 a multiple of 1517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*p + 342. Suppose 0 = f + 2*f - p. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -128*y**3 + 12 + 0*y**2 + 0*y**3 + 212*y**3 - 2*y**2 in the form p*y**2 + k + v*y + f*y**3 and give f.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70.949 - -71. Let w = 25.051 - h. Let y = -27 + w. What is the nearest to y in 2, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9184 and 1518230.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62471 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 - 11 - 16 - s as t*s + g and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - -2)\/(332\/110 + -3)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 52 = -14*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 - -17934?\nAnswer: 18252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -21*u - 111. Let h be m(-6). What is the highest common factor of h and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1)*(-2 - -2). Suppose l*b = 3*b - 72. Suppose 3*i = x + 2*x - b, 2*x = i + 13. Solve -2*t + 13 = x*f, -2*f + 5*f - 7 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -12*j - 2. Let h(s) = -s. Let z(b) = 10*h(b) - t(b). Let p be z(0). Let c(d) = d - p*d + 3*d. Let a(n) = -17*n**2. Give c(a(v)).\nAnswer: -34*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 - 2*v**3 - 11*v**3)*(-2 + 0 + 1) + (3*v**2 - 3*v**2 - v**2)*(-2*v - 5 + 5).\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 285707720 a multiple of 3352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (11 - 14)\/(6900\/(-6891) + 1)?\nAnswer: 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*q = 1395, -q - 6 = 2*q. Calculate the common denominator of (-68)\/24 + 3 + k\/(-114) and 39\/10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*(2 + sqrt(432)*1 + 3) - (2 + -4 + -3 + (1 + sqrt(432) + sqrt(432) - sqrt(432)))))**2.\nAnswer: 144*sqrt(3) + 1737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3398002 is divided by 7501.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (60\/8)\/3*4. Let i be ((-18)\/(-6))\/(6\/a). What is the greatest common factor of 20 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 47*t - 52*t + 45*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7694338, -7694308, -7694278, -7694248, -7694218, -7694188?\nAnswer: -7694158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = j - 41, -10858*f = -3*j - 10851*f - 48 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 44.3 and 13.\nAnswer: 57.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, p: 4, h: 3, a: 2}. Give prob of sequence shhp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*n + 60*n - 12 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u - 17*u - 929*u**2 - 107*u**2 + 7*u.\nAnswer: -1036*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2)*(-4*m + 34 - 34)*(-7*m**2 - 160 + 160)*(2*m + 0*m - 3*m) to n*m**2 + o*m**3 + y + s*m + z*m**4 and give z.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -83 + 91 + (1 - (-1 - -1)). Solve -h*u + 6 = -11*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10817 + 11313. What is the least common multiple of 992 and j?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - -1.01. What is the biggest value in x, 2\/3, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1466*f - 216 = -1442*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -37*s - 7. Let p(u) = 64*u + 7. Let m(l) = 15*l + 1. Let i(h) = -3*m(h) + p(h). What is 3*b(n) + 5*i(n)?\nAnswer: -16*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/2423251?\nAnswer: 2\/2423251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 625, 1299, 1973, 2653, 3345, 4055?\nAnswer: 4789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/150132 and -57\/25022?\nAnswer: 150132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*t = -17, 2*t - 2 = -k + 3*t. Let f = k - -1. Suppose -q + 6*q - 5 = f. What is the greatest common factor of 7 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2, -0.4, 3.13623, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 9*v - 7*v. Let o be v\/6*(0 + 0). Let w = -10\/43 - -4\/387. Which is the smallest value? (a) o (b) 3\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 421 and -2448.\nAnswer: -2027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 6:36 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a - 623. What is m(-106)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -256613002 + 256613232.0001368. Let h = f - 230. Round h to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/((x\/x**(1\/2))\/x))))\/(x\/(x\/(x**(-2\/33)*x))))\/(x**(-1\/4)*x*x**(9\/4)\/x*x) assuming x is positive.\nAnswer: x**(-161\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, c: 2}. Give prob of picking 2 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**8*l*l))\/l*l**1)\/(l*l*l*l\/((l*l**1)\/l)*l*l\/l**(-1\/20)) assuming l is positive.\nAnswer: l**(-281\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 + -6 - -29)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.9 (b) 4215 (c) -3\/20 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 96030.88 millilitres?\nAnswer: 96.03088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 19\/10 and -1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*f + 2228, -433 = -f - 0*f + 5*d. List the prime factors of 9\/(-2)*f\/(-24).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4 - (-18)\/6)*2. Let f be 7\/i + (-4)\/10. Let n = 128\/583 + -2\/53. Is f bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w - 5. Let i(q) = -3*q - 2. Let o = -2943 - -2938. Determine o*i(s) + 2*g(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-575)\/(-100) + (-1)\/(-4). Solve 0 = 3*k - 0*k + v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8676 - 4879. Let o(j) = -10*j**2 + 117*j - 6. Let n be o(9). Suppose -l = -3*q - 5*d - n, 2*d - 1186 = -q. Round q to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31866521.\nAnswer: 31866521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/(1\/(-4)*-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kppp when four letters picked without replacement from kkkpc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 2*k**2 + 2*k + 6. Let u be g(3). Let q be -2 + (-18)\/(-1*3). Solve q*o = u*o - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*3*(-3)\/(-36). Let g be f\/(-6) + 28\/(-24). Let t = -1 + 0.5. Sort t, -0.2, g in decreasing order.\nAnswer: -0.2, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -1\/2, -0.2 in decreasing order.\nAnswer: 35, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53262 divided by 8877.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.2619 - -1.3862. Round c to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 192 + -603. Let x = w + 438. Suppose -32 = -2*o - 2*o - z, -2*o = -3*z - 2. What is the remainder when x is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**2 - 99*q - 36. Let w(s) = -11*s**2 + 199*s + 78. Give -6*w(v) - 13*y(v).\nAnswer: v**2 + 93*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678848 is divided by 109?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 861\/(-1435) - ((-12)\/70 + 0).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211, -733, -1839, -3799, -6883?\nAnswer: -11361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 35\/(-10)*-2 - 4. Let r be (-3)\/(0 - -1 - 2). Solve -3*z = v + 14, y*v - 4*v + 16 = -r*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - a**2 - 23. Let m be k(0). Let i = -12 - m. Let q = i - -42. What are the prime factors of q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*j - 6*j + 24 = 0, 20 = -q + 4*j. Does 14 divide (4 - 5 - 146)*q\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.58984909 and -1.3.\nAnswer: -0.71015091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (4 + -3))\/1. Suppose 5*v - 2*m = 50, d = -3*v + 5*m - 3*m + 26. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, 23, 34, 43, 50, 55, 58?\n\"Answer: -u**2 + 16*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*m + 67 + 101 - 220 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (765\/(1105\/65))\/(11\/((-154)\/(-63)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 0*z + 1\/100*z**5 + z**2 + 0 - 1\/1050*z**7 + 1\/60*z**4 + 0*z**6 + 0*z**3. Factor d(w).\nAnswer: -w*(w - 2)*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109107 and 1796?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + 267. Let m = 281.98195 - k. Round m to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u. Suppose 13*c = 5*c + 368. Let r(g) = c*g - 30*g - 29*g. Give h(r(y)).\nAnswer: -91*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/864*(-36 + 10348\/286)\/((-4)\/(-22))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1. Let u(k) = -3*k + 1. Give -u(b) - 3*y(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5\/2 + 9*p**4 + 64*p**3 + 224*p**2 + 384*p + 256.\nAnswer: (p + 2)*(p + 4)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 6*n - 49 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 115, 358, 817, 1564, 2671, 4210, 6253?\nAnswer: 8872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/17, -4, -2 in increasing order.\nAnswer: -4, -2, 3\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-10)*(2 + -4 + -8). Let f be (-1 - (-4)\/2)*1. Suppose -2*j - q = f, -2*n + 54 = 2*j. Calculate the remainder when 149 is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(3\/5))**42 assuming p is positive.\nAnswer: p**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102968 - 65979. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.0876041 tonnes?\nAnswer: 87.6041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6 and -63067.\nAnswer: -63067.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 17440256?\nAnswer: -87201280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 14*p + 21. Let m(y) = 8*y + 21. Give 5*l(f) - 4*m(f).\nAnswer: 38*f + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**2 + 361*h**3 - 2 - 724*h**3 + 373*h**3 to c*h**3 + q*h**2 + o*h + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -673567305.739 - 0.273?\nAnswer: -673567306.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1648, 1647, 1646, 1645, 1644?\n\"Answer: -d + 1649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-9)*(120 + -9)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 22*t**2 - 110*t - 118. Let k be f(-5). Let x(d) = 16*d - 139. Determine x(k).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 195.31 - 199. Let x = q - -0.69. Put x, 2, 0.5, -2\/3 in ascending order.\nAnswer: x, -2\/3, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -172*m**2 - 11*m + 11. Let q(d) = 43*d**2 + 3*d - 3. What is 22*q(j) + 6*u(j)?\nAnswer: -86*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bup when three letters picked without replacement from xuppkopukbk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 12*z**2 + 27*z - 11. Let w be a(-14). Let v(k) = 3*k**2 - 6*k - 6. Let s(p) = 24 - 46 + 21 + p**2 - p. Determine w*v(m) - 18*s(m).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.210927 rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 95.7, 0.7, -2\/13, -0.4.\nAnswer: -2, -0.4, -2\/13, 0.7, 95.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -110 + 8 + ((-11 - -4) + 15 - 8).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 6*o + 2*o)*(-o + o + 2*o) - 6*o**2 + 2*o**2 + 0*o**2 - 19*o + 16*o + 2*o**2 - 4*o**2.\nAnswer: 4*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/15213 + 1140959\/121704. Suppose 0 = -10*z - 10707 - 11533. Let b = -22163\/10 - z. What is the common denominator of o and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -49, -236, -431, -634?\n\"Answer: -4*q**2 - 175*q + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 220\/(-550) - (-8)\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (48\/(-10))\/(11\/(55\/(-2))). List the prime factors of h\/9*(-3 + (-1524)\/(-8)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 8*b**2 + 7*b - 12. Let l be n(-9). Suppose -l*p = -0*p. Suppose -4*a - 16 = p, 3*a - 36 = -2*d + 4*a. Solve z = -5*w + d, w + 3 = 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*x - 22*x**2 + 30*x)*(-3 + 5 - 3)*(6 - 6 + 4*x).\nAnswer: 88*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 5 = 4*l, 10*l - 11*l = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 124 = h. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21060, 43019, 64970, 86907, 108824, 130715, 152574?\nAnswer: 174395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1140126732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x - 23. Let u(v) = -6*v + 15. Let z(f) = -5*r(f) - 8*u(f). What is z(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtt when three letters picked without replacement from {d: 3, m: 3, t: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 31. Is i > 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**4\/5 + 30619*y**3\/5 - 91844*y**2\/5 - 122464*y\/5 = 0.\nAnswer: -1, 0, 4, 30616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(896)*3)\/(sqrt(7) - 4*sqrt(1008) - (sqrt(77)*2)\/sqrt(11)).\nAnswer: -192*sqrt(2)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(105)\/sqrt(5)*6 - (sqrt(21) + -1*sqrt(756)))\/(2*sqrt(343)*-6).\nAnswer: -11*sqrt(3)\/84 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 4*n**2 + 7*n + 23. Let b be y(5). Which is greater: b or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1517\/2 - -760. Which is the biggest value? (a) 11 (b) 0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 22*q**2 + 13*q + 15. Let h be g(-24). Let j = -681 + h. Calculate the remainder when j is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 + -724 - (0 + -15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-4)*(-20)\/15. Let z(r) = 0 + 5 - g - r. Let l be z(0). Solve 2 = l*c - 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -87, 0, -37, -3\/4 in decreasing order.\nAnswer: 0, -3\/4, -4, -37, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -334, -756, -1374, -2206?\nAnswer: -3270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2109 is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 333944\/21 != 15902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006897345 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/154 and (15\/1665)\/((-13)\/(5499\/(-42))).\nAnswer: 5698","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q + 0*q**2 + 1\/2*q**3 + 0 + 1\/2*q**4.\nAnswer: q**3*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {p: 2, h: 5, f: 4}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*(-1)\/((-2)\/2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -51*g**2 + 550*g + 9. Is h(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -16. Suppose 7 = l + g, 4*g - w = -4*l + l. What is the remainder when 13 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y - 46. Let z be f(17). Suppose -4*b - 5*x = -2*x - 287, x = -z*b + 345. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from {n: 1, q: 3, v: 8, m: 3, r: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 22 + 9*g - 22.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 265477\/29 + -9156. What is the common denominator of d and 19\/8?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {y: 8, r: 4, j: 2, z: 2, f: 1, p: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 i when four letters picked without replacement from kibikwkykki?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-7) - 1)*(-35)\/10. Solve c*l - 11 - 19 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t - 154. Does 7 divide o(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26303 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: Suppose -11*w + 22754 = 5*p - 13*w, -3*w + 13644 = 3*p. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207724466?\nAnswer: 2, 877, 118429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 144799649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 288 - 278. Let j = -129.7 - -120. Let k = d + j. Which is the third smallest value? (a) 14 (b) k (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p - 23*p = -j - 11, 2 = -4*p + 5*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 + 3. Let f be ((-10)\/1100)\/((-27)\/(-6)). Let t = f + -193\/2475. Which is smaller: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5)**(3\/20)*(b**18\/b)\/b**19 assuming b is positive.\nAnswer: b**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l**2 + 186*l + 58. Give w(15).\nAnswer: 823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 - 7 = -3*k, -10 = -s - 2*k. Find the third derivative of -s*j**2 + 247 - 247 - 3*j**5 wrt j.\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 4*b**2 - 2 + 2)*(-7*b + 3*b - b).\nAnswer: -20*b**3 + 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-15)*(-10)\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-33))\/(1*(-1)\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -21. Let q be (2 + 248)*t*775. What is q rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 1 + 7. Suppose -u*g + 2*k = -12 - 10, 3*g - 5*k - 43 = 0. Suppose -4*r + 20 = 0, r - 3*r = -4*v + g. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-31 - -2)*1*(2 + -1). Let q = 31 - w. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290499.4 kilometers in micrometers?\nAnswer: 290499400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.05+-17256623\nAnswer: -17256622.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 2. Let h = -59 + 67. Let i be (6 - 3) + 2\/(h\/12). Calculate m(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 + 25*l**2 + 20*l - 10. Let g be z(-10). Calculate the greatest common factor of 30 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*v - v. Let s = 26 + -28. Let k = 53 + -49. Which is the biggest value? (a) v (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -131, -533, -1205, -2147, -3359, -4841?\n\"Answer: -135*q**2 + 3*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2067 + 18623\/9. Is b greater than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 511320?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -251241?\nAnswer: 251246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 9*v**2 + 8*v + 4. Let n be t(8). What is the second derivative of 5*f - 12*f - 4*f**4 + n*f wrt f?\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2 + 5*n - 1. Suppose 9*y - 441 = -405. Let z(l) = 8*l**2 + 14*l - 3. What is y*z(s) - 11*w(s)?\nAnswer: -s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19158264 and 277656?\nAnswer: 19158264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, -0.3, -0.1641, 0.4, 0.1096?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 272 = d. Suppose 5*v - 3*v = 34. What is the highest common factor of d and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 764905.2 months?\nAnswer: 637.421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -27, -20, 3, 48?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -11*h**3 - 1. Let l be x(-1). Factor n**3 + 10*n - l*n - n**4.\nAnswer: -n**3*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-6) - (-1)\/2*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.807488 millennia to decades.\nAnswer: 680.7488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.91 + 0.09. Let h = 0 + v. Which is smaller: 2\/3 or h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/9)*x**(-9)*x*x**(-2\/25)\/x**(-1\/5)*((x\/(x**4\/x)*x)**(6\/5))**(2\/27) assuming x is positive.\nAnswer: x**(-1843\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 760 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/(-36480))\/(380\/(-2850)).\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, q: 12}. Give prob of picking 2 q and 1 h.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/410040 in -3, 4\/99, 2\/7?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u*u*(u*u**4)\/u)\/(u*u**(3\/5)))\/(u*u**(1\/3))**(1\/10))**18 assuming u is positive.\nAnswer: u**(564\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 15\/10)*(0 + 6). Factor 76*l + 40*l + 65*l**2 - 5*l**2 - 36*l**n + 4*l**4 - 16*l.\nAnswer: 4*l*(l - 5)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-14)\/22)*25*684\/1425?\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -295302 divided by -5?\nAnswer: 295302\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*v = 785 + 286 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 8\/95, -2, 0.5 in ascending order.\nAnswer: -2, 8\/95, 0.5, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 + 491. What is the smallest common multiple of 90 and -7 - -1*p\/5?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 2040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 12 = 0, -3*c + 18 = 5*m - 6*m. Suppose -2*k - 3*q - 140 = 2*q, -2*k - q = 140. What is the units digit of (k\/21)\/(4\/m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -727435.7 to the nearest 10000.\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -47, -37, -25, -11, 5, 23?\n\"Answer: n**2 + 7*n - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1469 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(6\/7))**(-20)*t**(-2\/15)\/t*t*t*t**(-1\/12) assuming t is positive.\nAnswer: t**(-871\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**5 + 535*t**4 + 1055*t**3 + 525*t**2.\nAnswer: 5*t**2*(t + 1)**2*(t + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**4\/4 - 3090*m**3 - 553413*m**2 - 1094460*m = 0. Calculate m.\nAnswer: -170, -2, 0, 4292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60906003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**4\/12 - 7*l**3\/6 + 9*l**2\/2 + 23*l. What is f(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318 (base 11) in base 4?\nAnswer: 122301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 2830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -c + 5. Let z(i) = i**3 - 3*i**2 - 6*i + 5. Let p be z(c). Let m be (1\/2)\/(p\/(-24)). Solve -x + 0*x = m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b97c + 4?\nAnswer: -b978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2\/4*(-1256)\/(-4396)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -41939 bigger than -186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in centimeters?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 17*h**2 - 9*h - 14017. Let v be i(29). Suppose 3*x - 795 = -2*x. Suppose 4*u - 145 - x = 0. Calculate the greatest common divisor of u and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by (7 + -5 + 3)*(-9 - (14 + -28)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67236 is divided by 11179?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 divided by -41793?\nAnswer: 223\/41793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 210\/252 + (-5)\/6. Solve 10*v - 15*v - 20 = -5*l, o = -2*l + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2230702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -531*l**5 + 95*l + 1742*l**3 - 1742*l**3 + 80*l**5 + 1 + 46*l wrt l.\nAnswer: -9020*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*y - 92617, -23719 = -4*y + 4*x + 99749. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231945 divided by 2\nAnswer: 231945\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-18))\/((-7)\/(-147))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*h = 600 - 690, -5*h = 0. What is the remainder when 854 is divided by d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 4:37 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - 23*w**4 - 4*w**2 + 7*w**4 + (3 - 3 - 1)*(-2*w**4 - w**2 + 0*w**2 + 3*w**2).\nAnswer: -14*w**4 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2327 is divided by 233?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.4 + -11.6. Let h = -10.22 - f. Let s = h + 1. What is s rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -27*m + 1. Does 15 divide z(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1 - f**3 + 5 - 1 + 5*f**2 + 2*f**3. What are the prime factors of j(-4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(2\/9))**(2\/25)\/(t\/t**(-3))**(4\/31) assuming t is positive.\nAnswer: t**(-2608\/6975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k**(2\/13)))*k)**(-1\/19)\/(k**(-27)*k**(-2\/3)))**4 assuming k is positive.\nAnswer: k**(81668\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b**2 - 34*b**2 - 35*b**2.\nAnswer: -44*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8032753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8\/123, -3, 80 in increasing order.\nAnswer: -3, -2, 8\/123, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 34. Let u = z + 17. Solve -u*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/(-44)*(-4)\/((-1056)\/(-12))*4\/(-3).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -2 + 4*r**2 - 5*r + 1\/4*r**4 - 8\/3*r**3. What is the units digit of c(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*j - 13 - 1, -4*g - j + 41 = 0. Let k(u) = 2*u**2 - 20*u - 4. Let v be k(g). Let h be v\/6 + 140\/30. Solve h*o = -o + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7436171.18 rounded to the nearest 100000?\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 18. Sort 5\/3, k, -5 in ascending order.\nAnswer: -5, k, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24831091 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-18\/5)*(z\/(z*z\/(z*z\/z**(1\/14))))\/z*z*z*z*z**18\/((z**(-23)\/z)\/z*z) assuming z is positive.\nAnswer: z**(2893\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 2336202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 21. Let h be s(-18). Suppose 18*k**5 - 12*k + 60*k**h + 8*k**5 + 12 - 33*k**4 + 9*k**5 - 29*k**5 - 33*k**2 = 0. Calculate k.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 319*h**2 - 397*h + 2 wrt h.\nAnswer: 638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-8))\/(2\/(-4)). Are f and 2\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*q = 2*q + 75, -4*h + 77 = -q. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*a - 0*a, -a = 2*i - 3. Let p be ((-9)\/(-12))\/(1\/4). Suppose -p*j = -4*j + 3. Calculate the least common multiple of i and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, k: 2, s: 2}. What is prob of picking 3 i and 1 k?\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 10. Let w = j - 10.99999974. Round w to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 48 = 7*m. Let o be (-4)\/m + (-17)\/(-3). Let l(t) = t - 4. Let r be l(o). Solve r*j - 2 = 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-3 + -4) - (3 + 0 + 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63)\/6*(-100)\/3. Let d be (-4)\/26 + q\/(-91). Suppose 9 + 0 = -3*l. Put l, 4, d in decreasing order.\nAnswer: 4, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 619 + -222. Calculate the remainder when r is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125271551 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217981, 217993, 218011, 218035, 218065, 218101?\nAnswer: 218143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 80 = -6*b. Let a = -14 - b. What is the lowest common multiple of 3 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 720 = -m. Suppose 4*f - m = f. Suppose -f = -3*x - 0*x. What is the least common multiple of x and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -16*z + 340. Calculate o(7).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87075580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o)\/((((o*o\/o**(-1\/6))\/o)\/o)\/o)*o**(-1\/27)\/(o*o\/o**18*o) assuming o is positive.\nAnswer: o**(907\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -25 + 2031176\/81144.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -12. Let l = 0.5 - 0.8. Sort f, -3, l in decreasing order.\nAnswer: l, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 37*d**2 + 3*d - 2 - 36*d**2 + 4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*z, 4*z + 15 + 21 = 4*q. Let t = 10 - q. Which is the closest to -1? (a) 4 (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -459.95 and -2.\nAnswer: 919.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39705 - 39701. Calculate the smallest common multiple of 18 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0163194967 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 10 (c) 3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -722 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.4 (b) 3 (c) 1719.7 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-1*(7\/(-2) - -3)). Suppose v = 2*l, -4*l + l = 2*n - 647. Let y = n + -203. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*(-6660)\/(-185)*3\/(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00723238 + -7890.\nAnswer: -7890.00723238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11121 (base 4) in base 7?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 231, 350, 483, 636, 815, 1026, 1275?\nAnswer: 1568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*a - a + 0*a)*(a - 4*a + 2*a) + 0*a + 2*a + 2*a**2 + 2*a**2 to u*a + y*a**2 + k and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8694 divided by -14197?\nAnswer: 8694\/14197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (207\/(-69))\/((-10)\/1).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10221 (base 3) to base 13\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6 + 80\/24 - -21. What is the highest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 - 53. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2204, 5016, 9698, 16250, 24672, 34964?\nAnswer: 47126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 3*c - c - 23, 5*c = -5*f - 25 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d - 98. Give g(68).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 9*x + 1. Let g be k(-9). Let b(i) = -i + 1. Let v be b(g). Solve 2*s + 2 = 5*d + 12, v = 5*s - d - 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/((-507)\/(-52)))\/(2\/(-27))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1139.6 - -1139.7. Which is greater: -1422 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8619669m to kilometers.\nAnswer: 0.0008619669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a. Let p(j) = -1. Let s(w) = o(w) - 3*p(w). Suppose -4*g + 13 = -3. Let k = -8 + g. Calculate s(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1263*t + 88314*t**2 - 1629*t - 88312*t**2 in the form o*t + l + m*t**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000061882353 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8598 + -8578. Calculate the remainder when 833 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.53 * -18.\nAnswer: -27.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 624 + -118. Suppose 2*i - 2292 = h. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112077520 a multiple of 1042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7234961?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7.928553 millimeters?\nAnswer: 0.7928553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - 0. Let l = -4 - a. What is the second smallest value in -1\/6, l, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 43, 4, -3, 2, 9, -53 in increasing order.\nAnswer: -53, -3, 1, 2, 4, 9, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4 - 5 + 9146*w - 9149*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3252 - -29330\/9. Let d = p + -700\/99. Let c = -21 + 233\/11. Sort -2\/5, d, c in descending order.\nAnswer: c, d, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, -42, -340, -942, -1950, -3466, -5592, -8430?\nAnswer: -12082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 3) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**4\/4 + 1197*b**3\/2 - 3929310*b**2 - 13699102725*b\/2 - 12327931798875\/4 = 0 for b.\nAnswer: -1155, 2667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 6:27 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 41.\nAnswer: -28\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**44\/(d\/(d*d**(-33)\/d))*(d**(11\/5)*d)**(5\/9))**(2\/9) assuming d is positive.\nAnswer: d**(212\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.236 + -8.236. What is the biggest value in a, 1, 4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-627)\/(-10659))\/((-2)\/(-4))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**3 - 21*k**2 + 187*k - 30. Calculate d(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3022 (base 4) in base 15?\nAnswer: d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 12:28 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 259\/78 - 19\/6. Let v = 116.8 + -120.8. Which is the closest to -21? (a) v (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i - 22279 - 15629 = 0. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -1 + 6. Let w(n) = 2*n**2 + 12*n - 12. Let f be (-1)\/(-1)*-8 - 4. Let q(g) = g**2 + 5*g - 5. What is a*w(k) + f*q(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3074.\nAnswer: 2, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 60870 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 897*g**2 + 169. Let l(r) = -16*r**2 - 3. Let s(p) = -338*l(p) - 6*o(p). Let n(b) = -2*b**2. What is n(s(m))?\nAnswer: -1352*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 4:52 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 20. Determine h(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**3\/4 - 71*c**2\/4 - 79*c\/4 - 13\/4 = 0 for c.\nAnswer: -13, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 10 = -2*v + 10, 2*v - w = 30. Let z = v - 8. What is the highest common factor of 48 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14196 and 1402191.\nAnswer: 947881116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92514 is divided by 274.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + d + 2 = 15, 2*t + 2 = 2*d. Let l(s) = -21*s + s**t - 5*s**2 + 3 + 25*s + 3*s**2. Determine l(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*l + 6*l**2 - 6*l)*(-366*l - 375*l + 712*l - l**2) in the form s*l**2 + m*l**4 + k*l + v + a*l**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 18033\/1841?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -107100 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**3\/2 - 21*x**2\/2 - 47*x - 1. Determine n(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 230050581 and 9699?\nAnswer: 230050581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-10))\/(5\/25). Suppose -c*a + 58 = 3*w, -3*w - 4*a = -70 + 2. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0 = 5*q - 4, 2*q - 12 = 4*d. Suppose 4*g + l + 6 - 4 = 0, 0 = -5*g + l + 2. Solve q = u - g*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75*i**3 - 262*i**3 - 147*i**3 + (1 - 3*i - 1)*(-3*i**2 + 2*i**2 - i**2) + (0*i + 3*i - 2*i)*(-i**2 - i + i) + 3*i**3 - 5*i + 5*i.\nAnswer: -476*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 4. Let t = g - -3. Suppose n + 4*s = -1 - 12, t = -n - s. Solve -n*f + 2 = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.309629 to three decimal places.\nAnswer: -3.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1790308095?\nAnswer: 3, 5, 59, 151, 13397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2262598159 = -126*l + 1492201841. Suppose k - 6 = 6. Suppose -l = k*t - 14*t. What is t rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 10:34 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 17.\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 825 and 139821.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 3:38 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**3 + 67*g + 2*g**3 - 2*g**3 - g**2 - 1 - 2*g**3 - 68*g. Suppose 7*o - 40 = 2*o. Let s = o + -6. Give m(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 2 + (5 - 1). Suppose 21 = 4*g - c + 4, m*c - 37 = -5*g. Suppose -3*h = 2*h + 25, 2*d = -g*h - 1. Calculate the remainder when 23 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x - 11. Suppose 3*l + 3 = -21. Let q(m) = 2*m - 7. What is l*q(f) + 5*t(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**3 - 27669*y**2 + 55347*y - 27675 = 0.\nAnswer: -9225, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 764004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 10\/3, 3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 2*i + 6. Let x be w(3). Let r = -1 + 3. Solve 0 = -4*v + 16, -n - x*v + 17 = -r*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, r: 6}. Give prob of sequence ru.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12024b + -5?\nAnswer: 120246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10278, -20555, -30832, -41109?\nAnswer: -51386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*i**5\/13 + 4154*i**4\/13 - 16318*i**3\/13 + 18710*i**2\/13 - 8532*i\/13 + 1296\/13 = 0.\nAnswer: -9, 36\/115, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2616*l**3 - 3353*l**3 + 12159*l**3.\nAnswer: 6190*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 131*s**3 - s**2 - s - 1. Let f be z(-1). Let j be (-343)\/6 + (-22)\/f. Let i = -22 - j. Calculate the greatest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 5*s + 27, 0 = l + s - 11 + 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.26759km to nanometers.\nAnswer: 18267590000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 39. Solve m = -4 + k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4 + 8 - o + 0*o. Let v be l(2). Suppose 0 = 5*m + v + 3. Let c(t) = 2*t. Give c(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42337 * 2616\nAnswer: -110753592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-1)*7\/21. Let k(i) = -i**2 + 9*i - 11. Give k(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.38 * -23.\nAnswer: 8.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -2 (c) 0.6 (d) 7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3314965, -3314962, -3314959, -3314956, -3314953, -3314950?\n\"Answer: 3*q - 3314968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-204)*(-2 - 1).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*g**3 - 39*g**2 - 32*g**3 - 109*g**2 + 148*g**2.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9403 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 1311717?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, d: 5}. Give prob of picking 2 d and 1 j.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 14*z**2 + 11*z - 11. Calculate d(-15).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.638639 to 2 dps.\nAnswer: -65.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05 (b) 5 (c) 15 (d) 9 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 10*n + 13. Let p = 8 - 14. List the prime factors of s(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2. Let y = -1353.133 - -1352. Let n = y + 0.833. Sort b, n, -0.05 in ascending order.\nAnswer: n, -0.05, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-52)\/10)\/(-10 + (-192)\/(-20)). Suppose -11*c - 5*u - 606 = -b*c, 3*u - 281 = -c. Calculate the remainder when c is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 9471?\nAnswer: 9474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -119*f**3 - f**2 + 2*f - 1. Let a be x(1). Let u = a - -193. Does 37 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73 - -85 - (-6 + (8 - 7))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-328)\/(-4428) - (-4)\/27.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6527, -26023, -58597, -104315, -163243, -235447?\n\"Answer: -11*w**3 - 6473*w**2 - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (54 + -2 + (17 - (24 + -3)) + 10)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/3))**(-2\/49))**(4\/3) assuming n is positive.\nAnswer: n**(8\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.59 + -4.49. What is the second smallest value in z, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7*f - 3 + 6*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220921011 and 108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 2\/17, -2\/11, 431, 5\/4, 1, 0?\nAnswer: 431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24864 + -24824. What is the greatest common divisor of x and 845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69.934 + 70. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1059 - -1439. Calculate the lowest common multiple of n and 14.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 50. Suppose -d*h + 20*h = -144. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 223 and 204.\nAnswer: 45492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 4 (b) 3\/4 (c) 1 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17694, -17983, -18274, -18567?\nAnswer: -18862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128 - 131. Let m(g) = 5*g**3 - 4*g. Let y(p) = -6*p**3 + 3*p. Determine u*y(v) - 2*m(v).\nAnswer: 8*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -13*q + 564. Let u be x(43). Sort 2, -3, u, 64.\nAnswer: -3, 2, u, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 + (-4 - -8) + -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57540*b**2*t**2 + 31*b*t**2 + 2619*t**2 + 593*t wrt b.\nAnswer: -115080*b*t**2 + 31*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -101?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27756 - 13?\nAnswer: -27771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 12, 5, -27834?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 9:30 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*h - 2*h + 187728, 0 = 4*h - u + 750980. Let t = h - -343744. Round t to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 586a - -8?\nAnswer: 5877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x - 2*w = -14*x - 73, -2*x + 934 = 26*w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590403889 is divided by 2690.\nAnswer: 2689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.05 - -0.21. Let d = 0.14 + y. What is d rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4aa41 (base 12) to base 7.\nAnswer: 602353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, x: 1, c: 1, r: 2, a: 3, o: 3}. Give prob of sequence aoa.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.018 and -1.257231.\nAnswer: -1.275231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104*o - 374*o - 571*o to x + l*o and give l.\nAnswer: -1049","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s + 19*s = 2*v - 7, -s + 1 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -l - 1, -3*h + 5 = 4*l + 9. Suppose d = -3*x + 28, h = 4*d - 5*x + 4 - 31. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -61, -38, 5, 74, 175, 314?\n\"Answer: t**3 + 4*t**2 + 4*t - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/19012008 and 103\/1224.\nAnswer: 969612408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-6)*46\/(-23184). Let p(q) be the second derivative of -1\/54*q**3 - 2\/135*q**6 + 18*q - 1\/27*q**4 - n*q**7 + 0 + 0*q**2 - 1\/30*q**5. Factor p(x).\nAnswer: -x*(x + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.199 + 0.451. Let t = y - -5.35. Sort 5, -2, t in decreasing order.\nAnswer: t, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 55 + e4c?\nAnswer: ea2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 + 0)*(m**3 - m**2 + 3*m**3 + 2*m**3 + m) in the form i*m + c + u*m**3 + w*m**2 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)*i*i)\/i**(-5\/3)*i**(-1\/14)\/i**(-1\/8) assuming i is positive.\nAnswer: i**(-551\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -83*r**3 - 2*r - 5. Let i(d) = -84*d**3 - 2*d - 6. Give -5*i(h) + 6*l(h).\nAnswer: -78*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbccbkccbbkcbcccc.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -393 - -398. Let w = 4.2 - 4. Which is the closest to w? (a) 0.6 (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -14897.\nAnswer: 5\/14897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-28) - 1\/(-21). What is the second smallest value in 4, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5369183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + f + n, 3*n = -f. Suppose f = 19*p - 14*p - 145. Calculate the remainder when 3\/((-3)\/85)*-1 is divided by p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4860956 decades to millennia.\nAnswer: 0.004860956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 7:19 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 13*x - x)*(19*x**2 - 13*x**2 + 643*x**3 - 6*x**2).\nAnswer: 7073*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.2 times -3586.1?\nAnswer: -194366.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3 - 6058*c**2\/3 + 274427*c\/3 - 118380 = 0 for c.\nAnswer: 4\/3, 45, 1973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l + 157. Let k be c(24). Suppose -k*s - 131 = -430. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-34)*-15 + 2 + -3. Which is smaller: s or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1919554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -2.4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3*c + 0 + 75*c**4 - 74*c**4 + 6*c**3 to n*c + t*c**3 + g*c**2 + j*c**4 + b and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -1, -5, 64?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36680*i = 36542*i - 5796 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-100 + 102)\/((-29)\/(-21) + -1). Let t = 74 + -70. Is t at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**7\/14 - 718*u**6\/5 - 149*u**4\/6 + u**3\/2 - 1254*u - 2. What is the third derivative of d(x) wrt x?\nAnswer: -180*x**2 - 103392*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/(-4))\/(-3)*2. Suppose -2*f = -i*r + 8*r - 37, 2*f - 2*r - 2 = 0. Solve -f = 5*c + 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from toakoeaeegggok?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 22*s + 25. Let l be o(-21). What is the tens digit of 107 + -1 + 8\/l + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*w**2 - 23*w**2 + 31*w**2)*(-4 + 4 - 1)*(3 + 2 - 4) to the form q*w + h + z*w**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**4 + l**3 + l**2 - l. Let f(h) be the first derivative of -h**5 - 17*h**4\/4 - 2*h**3\/3 + h**2 + 31. Let g(n) = f(n) + 2*z(n). Factor g(i).\nAnswer: -3*i**3*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmhm when four letters picked without replacement from {m: 8, h: 3}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 - -1. Let u = 0.0999992 + y. Round u to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 23, 25, 21, 5, -29?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - 5 - (1 + -1). Let c(v) = v**3 + 5*v**2 - 2*v - 2. Let k be c(r). Suppose 0*m - 4*i - k = 2*m, 3*m = -i - 2. Solve m + 1 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 68.58295\nAnswer: -137.1659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1774, 229, 3568, 8243, 14254, 21601, 30284?\n\"Answer: 668*c**2 - c - 2441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 + ((-2)\/(-4) - 7\/14). Solve -t - i = 3*o + 4*t, 0 = -2*o + 3*t - 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 2122 = 254. Let r = -43 - -76. Calculate the greatest common factor of r and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 12:06 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2)**(17\/5) assuming d is positive.\nAnswer: d**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -26*b**2 + 33*b + 47. Let r(x) = -13*x**2 + 16*x + 27. Determine -7*r(k) + 4*s(k).\nAnswer: -13*k**2 + 20*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 1. Let a(v) = -89*v - 73. Let z(t) = 133*t + 110. Let f(y) = 7*a(y) + 5*z(y). Let k(o) = -f(o) + 5*w(o). What are the prime factors of k(-6)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 + 3*m**2 - m - 1. Let o be d(2). Let b(y) be the first derivative of -y**3\/3 - 7*y**2\/2 + 10*y + 4. Is b(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*n - 7 + 3 + 4.\nAnswer: 174*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 - -0.03. Let j = -0.09 + n. Is 0.3 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 - 10599*h\/2 - 947947.\nAnswer: -(h + 182)*(h + 10417)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*t - 776 = t, -4*t = 4*l - 3104. What is the tens digit of (-4)\/12*0 + l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 1639*z**3 + 3*z - 1616*z**3.\nAnswer: 23*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 12 + 3 - 30*c**2 + 78*c**2 - 43*c**2. Let s be q(4). Suppose 0 = l - 8*x + s*x - 343, 4*x - 1404 = -4*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven eighths of a day?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 142*g + 144*g - 204 = 0, y - 54 = -3*g. Solve -25*c + c - y = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s + 6*s + 4*s**2 - 3 as g*s**2 + v + t*s and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o**5)\/o*o**(-2\/3)\/o)**(-1\/21)\/((o**(2\/11))**(16\/5)\/(o**(-4\/5)*o**(2\/21))) assuming o is positive.\nAnswer: o**(-739\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7732*x**3*y - 15*x**2 - 2*x*y - 19*y - 2 wrt x?\nAnswer: -46392*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13870368?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11707\/1962 + -46\/109. Calculate the common denominator of 29\/180 and r.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.79053 rounded to 3 decimal places?\nAnswer: -1.791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.93 + 16. Let j = d + -0.0699925. Round j to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 - 3.92. Let p = -14 - f. Let v = p - -10.00000008. What is v rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 639 and 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/81445 and 95\/819.\nAnswer: 733005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 20*m - 44. Let z be a(-10). Let c = 253 + z. Solve -s = 2*s - c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -162512 + 5?\nAnswer: -162506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(8 - 3 + 0)*(1 + 1 + 29*h - 13*h).\nAnswer: 240*h + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -113 divided by -479632\nAnswer: 113\/479632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -o + f, -75 = 2*o + 28*f - 33*f. Suppose -q + 4*l + 21 = 0, -3*q + 5*l = -0*l - 28. Which is the biggest value? (a) q (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 782 and 9078.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**4 - 3*v**4 - 23*v**2 - 9*v**5 + 16*v**2 wrt v.\nAnswer: -540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13995.9 - 13976. What is the third smallest value in 1, -0.11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-205)\/21 - ((-540)\/770 - 294\/(-1078))\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 6*b**2 + 6*b - 3. Let y be f(5). Suppose 0 + 14 = l + 2*m, -3*l - 4*m = -38. Calculate the remainder when l is divided by y + (-4 + 0)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.08, 0.2, 194\/7, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2453? (a) 2\/11 (b) 0.04 (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 14*s**2 + s. Let h be v(-1). Calculate the greatest common factor of 39 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.79*-74.\nAnswer: -132.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 + 94. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24464580 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, o: 4}. Give prob of picking 3 j.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 34919280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 2346*k**2 - 72768*k - 576000.\nAnswer: -3*(k + 16)**2*(k + 750)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -445.418 - -351.55\nAnswer: -93.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(5))**2*-3*2 - (sqrt(275)\/(sqrt(5) - sqrt(5)*2 - sqrt(5)))\/((sqrt(33)*-2)\/sqrt(3)))*-2 + 5.\nAnswer: -295 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 18 + (-5 - (6 + -18 - 2))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 849923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*sqrt(171)*2*-1)\/(3*(sqrt(900)*-4 - sqrt(900))*6).\nAnswer: -sqrt(19)\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 253 (base 9) to base 7\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**4 - 3*j**3 - 105*j**2 + 3*j + 232. Let h(s) = s**4 + s**3 - s**2 - s. Let m(k) = b(k) + 3*h(k). Differentiate m(g) wrt g.\nAnswer: 4*g**3 - 216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-42)\/15)\/(162\/20 + -8). Is w > -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-9 - (-20 - 6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*(sqrt(567)*-1*2 - sqrt(567))*3*-3 + 3)**2.\nAnswer: 486*sqrt(7) + 413344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 984.0506ml?\nAnswer: 0.9840506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (95 + -96 - (1 - (4 + -5) - -6)) + 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6178295273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 95 = 5*x, 4*y + 6*x + 175 = x. Let l be 1\/(123\/(-62) - -2). Let u = l + y. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 9 = 2*a, 0 = -4*d + 7*d + 3*a + 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**2 + 4*g**2 - 34*g + 3*g**4 - 158 - 32*g + 69*g to r + x*g**4 + h*g + q*g**3 + n*g**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 278.9 - 267.9. Which is the smallest value? (a) 5 (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 2*r. Suppose r = -21*d + 18*d. Suppose -3*b - 6 + 0 = d, 0 = -5*w + 4*b + 348. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8674, -17339, -26004?\n\"Answer: -8665*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3290\/21601 or -1?\nAnswer: 3290\/21601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 333063 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 452\/5 and 89 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 - 4*f**3 - 3 + 4*f**3 + (-14*f - 32*f + 13*f)*(-2 + 2 + f**2) to l*f**2 + p + a*f + h*f**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 10*g + 1. Determine c(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -366*q**4 - 6*q**3 + 123*q**2 - 6*q - 6. Let b(x) = -x**4 + x**3 + x + 1. Let d(m) = -6*b(m) - f(m). Find the third derivative of d(y) wrt y.\nAnswer: 8928*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 8*f + 15. Give y(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k + 0*k - 2*k + (-2*k - 2*k + 2*k)*(4 - 3 - 3) - k + 2 - 2 + 4*k - k - 5*k - 31*k - k - 9*k in the form g + q*k and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2847*p - 1424*p - 1423*p + 349*p**2)*(3*p**2 - 2*p**2 - 3*p**2).\nAnswer: -698*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1121*q + 2771*q + 904565 = -6355*q for q.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 147 = -905. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 5*s - 166. Let q = s + 16. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000542441 rounded to 6 dps?\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 83751 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7804 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + f**2 - 2*f + 2. Let o be s(2). Let k be o\/9*2\/12. Let v = -219 - -218. Put v, k, 0.1 in decreasing order.\nAnswer: 0.1, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-36))\/((-2)\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j + 11 = -3*y, 17 = -3*y - 5*j. What is the nearest to 0 in 5, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)*-1*3.\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**6\/72 - b**5\/12 - 5*b**4\/24 + 13*b**3 + 19. Let a(i) be the third derivative of g(i). Factor a(z).\nAnswer: -5*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(500) + 1 - sqrt(500)*1*-5)**2.\nAnswer: -120*sqrt(5) + 18001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0. Let s = -32 + 50. Let x = 18 - s. Is x at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 506368 and 937572?\nAnswer: 3956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -454, -878, -1242, -1516, -1670, -1674, -1498?\nAnswer: -1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, -325, -0.03, 2\/5?\nAnswer: -325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*(1*sqrt(78) + sqrt(78)) - (sqrt(78) + -3*sqrt(78))*-1)\/((sqrt(360)\/sqrt(6))\/sqrt(10) + 4*sqrt(216)).\nAnswer: -6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 9*f + 19. Let o be w(-9). Let m = 25 + o. What is the greatest common factor of m and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/27 and 47\/12231?\nAnswer: 12231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 43*2.29389\nAnswer: 98.63727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -995*h - 6444 = -1013*h. Calculate the highest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000208522 rounded to five dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27933.0523 - 431.2.\nAnswer: 27501.8523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o + 318. Let l(n) = 6*n. Calculate l(p(s)).\nAnswer: 30*s + 1908","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/5)*g**(-1\/9)*((g*((g*g**(-2\/3)\/g)\/g)\/g)\/g)**(-27))**(4\/9))**34 assuming g is positive.\nAnswer: g**(437512\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1754, 2, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 21 - -8 - (5 - 9)) + 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/42*(-75)\/700.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-32)\/1)\/(-2 - -1). Suppose 4 = 57*w - 56*w. What is the greatest common factor of w and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmprrvmmmrrrrrprrprr. What is prob of sequence vrmm?\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1535254991 to the nearest integer?\nAnswer: 39182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 3, -4\/37, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79110542 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f**3 - 6*f**2 - 3*f - 4. Let l(u) = 2*u**3 - 2*u**2 - u - 1. Let x(g) = -c(g) + 4*l(g). Calculate x(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.4 (b) 3029832 (c) -2\/5 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 30. Suppose 7 = f*x - 5. Solve -4*d + x*q - 3*q - 9 = 0, 0 = -d + 5*q - 26 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1827*t**2 - 5473*t**2 + 1819*t**2 + 1827*t**2 + 45585*t**3.\nAnswer: 45585*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d + 9. Let h be x(6). Let f(i) = i**3 - 7*i**2 - 18*i + 12. Let s be f(9). Is 7 a factor of (h*5)\/(-3 - (-27)\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/210*(-1)\/((-7)\/6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.864 plus 3?\nAnswer: 4.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 17*p + 145 = -15*p, k - 130 = p. What is the remainder when k is divided by 116?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -27a88?\nAnswer: 27a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 220*g**2\/3 - 302*g\/3 - 76\/3.\nAnswer: 2*(g - 38)*(g + 1)*(3*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -13. Let n be s + (6*-2)\/(-4). Factor 0*b + 2\/3 - 2\/3*b**n.\nAnswer: -2*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -87001?\nAnswer: -86886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11586036, 11586007, 11585978?\nAnswer: 11585949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 + 3*p**3 - 18*p**2.\nAnswer: 3*p**2*(p - 2)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (255 - 141 - 115 - 983*s + (0*s - 3*s + 5*s)*(1 + 0 - 3) + 2 - 2 + s)*(1 - 5 + 2).\nAnswer: 1972*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -1 (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 32 = -2*a + 3*l, 2*l = 5*a - 28. Solve -y = -3*z + 16, -a*y + z = 2*z + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 + 3*s**4 - 3*s**4 + (-3*s**2 + 3*s**2 + 3*s**2)*((2 + 5 - 5)*(-3 + 1 + 3) - 3 + 2 + 3)*(-3*s + 3*s - s**3).\nAnswer: -10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 66*s**2 - 127*s + 428. Calculate the remainder when j(62) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.2*-0.08598.\nAnswer: -0.447096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:05 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -82 (b) 0.5 (c) -2\/5 (d) -2\/3 (e) -10 (f) 1\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 337 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-12)\/p**26 assuming p is positive.\nAnswer: p**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 15*o**2 + 15*o - 2. Let m be w(14). Let v be 90*(232\/m - 0). What is v rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-11)*b*b**(1\/17)*b)**39)**39 assuming b is positive.\nAnswer: b**(363519\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0 - 5\/24*x**4 + 0*x**3 + 0*x - x**2. Let t = -4 - -3. Calculate k(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 4:31 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 55476 (base 10) in base 6?\nAnswer: 1104500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -77852, -77860, -77868?\n\"Answer: -8*i - 77844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*t + 399 = 279*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*x - 314*x + 137*x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7595 - 3797 + 56291*h - 3798.\nAnswer: 56291*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 <= -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -51604, -103116, -154628?\n\"Answer: -51512*f - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -a - 4*a. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*x = 72 - 546 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 10*n + 4. Let t be b(11). Differentiate 4*r**4 - 2 + 0*r**4 + t with respect to r.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 0 + (-23 - (-33 - 2))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 104.288\nAnswer: -100.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203075944.\nAnswer: 2, 25384493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-5 + 3)\/(-1). Solve 4*k = -o*k + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*d**3 + 3)*(37902*d + 773*d - 188 + 188).\nAnswer: 77350*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -176, -20, -9, 2 in decreasing order.\nAnswer: 2, 1, -9, -20, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.13 rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t. Let g(k) = -6*k. Suppose -2 - 16 = -2*s. Let y(u) = s*v(u) + 5*g(u). Let j(m) be the first derivative of -m**2\/2 - 1. Give j(y(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.09 - 0.09. Let h = -4 + p. Let y = 1.1 - h. What is y rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130729*q**2*x**3 + 39*q**2 + 30*q*x + 12*q + 80*x**3 wrt q?\nAnswer: 261458*x**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5232330 divided by -135\nAnswer: 38758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 268444648 and 696?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15102518 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1154*o**2 + 1. Let i(y) = -2*y + 2. Calculate v(i(u)).\nAnswer: 4616*u**2 - 9232*u + 4617","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let k(d) = -292 + 292 - 61*d. Give k(v(y)).\nAnswer: -61*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 179235597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) + (-55)\/15. Let o be ((-8)\/(-250))\/((-666)\/(-1665)). Which is the smallest value? (a) o (b) q (c) -5 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*v + 3*o, 0 = -17*v + 22*v - 5*o + 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -68 + -1278724?\nAnswer: -1278803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 + 23*r\/3 + 42.\nAnswer: (r + 9)*(r + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-6) - 3)\/((-10)\/(-25)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 145 - 119 = 0. Let s be 8\/o - (-100)\/55. Find the second derivative of -6*g**s + 24 - 24 - 11*g wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.36 + 0.04. Let x = -0.4 + v. Let f = 0.1 + x. What is the closest to f in -2, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*u**5 + 2*u**4 + 42*u**2 + 4*u.\nAnswer: 2520*u**2 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -373*y - 1148. Give w(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-24))\/(2\/(-18)). Let t = -1 - u. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*k + 7859 + 10881 - 2740 = 0 for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/19990700 and -1\/34983725.\nAnswer: 139934900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23177793 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -32 - 11\/2*i**2 - 6*i + 1\/3*i**3. What is o(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n. Let x(u) = 7*u + 5. Let a(z) = -6*z - 4. Let g(r) = -5*a(r) - 4*x(r). Give -3*g(p) - 2*q(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*(-5 + 2*sqrt(425))*1 + 5.\nAnswer: -24 + 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24aa8603 - -2?\nAnswer: 24aa8605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = v - y + 18, -v + y = -14. What is the derivative of 2*l**4 - v + 2*l**4 + 11 wrt l?\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 239, 831, 1973, 3845, 6627, 10499?\nAnswer: 15641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 77*j + 35. Let d(v) = 13*v + 6. Determine -35*d(w) + 6*g(w).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -10454528 and -10454551 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(51)\/sqrt(3))**2 - -4*sqrt(2057)*-1.\nAnswer: -44*sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -2145.2 and -9\/1903 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 - 296 - 8*h**2 - h**2 + 17 to the form s*h**2 + t + n*h and give t.\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 6*w**2 + 1. Let x(b) = -3*b**3 + 7*b**2 + b - 2. Let f(a) = 4*k(a) + 3*x(a). Let u be f(-5). What is the greatest common divisor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + 17 + -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -26*t**3 + 5*t**2 + 2*t + 2. Let r(s) = 54*s**3 - 11*s**2 - 5*s - 5. Give 7*c(a) + 3*r(a).\nAnswer: -20*a**3 + 2*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/6 - 902*x**2 - 179425*x\/6 - 235950 = 0. What is x?\nAnswer: -20, -13, 5445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7905*-14.\nAnswer: -110670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - (-4 - -1))*(-10)\/(-35). Let a(y) be the first derivative of 4\/9*y - 2\/27*y**3 - 1\/9*y**r - 3. Find i, given that a(i) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(2) + (sqrt(4)*-4)\/sqrt(2) + sqrt(4)\/(sqrt(8)\/sqrt(4)).\nAnswer: -2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*(64\/1)\/8*1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 308100 divided by 156.\nAnswer: 1975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, p: 5}. Give prob of sequence sp.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17287130 is divided by 5074?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 - (-54 - -50).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, -1\/7, -31 in decreasing order.\nAnswer: 2\/21, -1\/7, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -271.4182 - -271.5. What is s rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00100665977 to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105*f**2 + 9 + 7 - 3028 - 104*f**2 to h + w*f**2 + r*f and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 - 0.816. What is j rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679153 is divided by 139.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8733316811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(1 - 1 + q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/117 and -137\/1170.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -204 + -3640251?\nAnswer: -3640455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -30. Let w = l - 15. Let r = w - 0.00055. What is r rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + sqrt(475))**2.\nAnswer: -50*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 - 6.5. Let s = 12 + j. Let r be (38 + -37)*(-1)\/5. Which is the closest to -1\/4? (a) s (b) -2\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.1 - 1.9. Which is smaller: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-114)\/(-36)*3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87 - 80. Let z be (1\/(-2) + -2)*(-20)\/25. Let w(a) = -2*a**2 + 3*a + 7*a + z + a**2. Determine w(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Let g(i) = -5 - 3*i + 4 - 2*i**2 + 3*i**v. Suppose -5*w - 2*l - 4 = -3*w, 0 = 2*w - 4*l - 20. What is g(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 5*q = -5*k + 16, 0 = -k - q. Sort -0.3, -0.081, k, 5 in descending order.\nAnswer: 5, k, -0.081, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 303535 + -53898. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 10:20 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19398431665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4480*n - n**4 + 9*n**2 - 4487*n + 10*n**2 + 3*n**3 + 9 as v*n**3 + d + b*n**2 + l*n + a*n**4 and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245 + 597 + 0*q + 678 - 2*q.\nAnswer: -2*q + 1030","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 26*b**2 + 505*b - 6. Let z(t) = 59*t**2 + 1012*t - 13. Determine -9*r(y) + 4*z(y).\nAnswer: 2*y**2 - 497*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 29*a**3 + 4*a**2 + 4*a - 13. Let x be p(7). Let z = 203227\/20 - x. Let u = 143\/5 - 287\/20. Calculate the common denominator of z and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1302008 = 3*p - 69*w + 73*w, -4*p = -w - 1735998. Round p to the nearest 10000.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, l: 4, x: 6}. What is prob of picking 3 x and 1 w?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844997 rounded to the nearest 1000?\nAnswer: 1845000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 90033.59224 to the nearest one hundred.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p + 10 = 0. Suppose -5*k - 277 = -2*i - 1, 0 = -p*k. Suppose -i = 4*v + 46. Is v bigger than -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**2)\/y)\/y)**28\/((y**(-4\/5)\/y*y)\/y*(y**(-2)*y)\/y*y))\/(y**7*y**(3\/2)\/y)**(18\/5) assuming y is positive.\nAnswer: y**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 58*m - 2. Let p(x) = -4*x**2 + 119*x + 4. Give 3*p(d) + 5*w(d).\nAnswer: -2*d**2 + 67*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 136, 202, 268?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + sqrt(396) - (sqrt(11)*-1 + 5)) + ((1 + sqrt(176) + -4)**2 - ((-3 + sqrt(176)*2)**2 - sqrt(176))).\nAnswer: -537 + 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1716550.1 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + 24?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -8*v**3 - 54*v**2 - 34*v + 12 = 0.\nAnswer: -6, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (sqrt(200) + 4 + sqrt(200) + 0)) + sqrt(200))**2 - sqrt(200).\nAnswer: -10*sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3160, -6728, -11114, -16726, -23972, -33260, -44998?\n\"Answer: -68*j**3 - j**2 - 3089*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4 + 304*u**3 - 1758*u**2 + 856*u + 2920 = 0 for u.\nAnswer: -1, 2, 5, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26 - -5?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110100 - 1110220?\nAnswer: -1221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 5*p + 3*p - 42 = 0, -15 = -11*p + 8*p for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/21510 and -22\/13185.\nAnswer: 6302430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -10*u + 140, 318*u - 162*u - 154*u + 3*f - 210 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211232324 + -14?\nAnswer: 211232310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 164, 157, 146?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -9. Let h = i - 7. Let s(r) = -8*r - 29. Let x be s(-4). Solve 6 = 2*a - 5*g - h, x*g = -9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 557*n**6\/30 + n**4\/12 - 97*n**3\/6 + n**2\/2 - 2*n + 1. What is the second derivative of u(x) wrt x?\nAnswer: 6684*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5144 by -5144.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3 - 8320*b**2 + 5268183*b + 15879402 = 0. What is b?\nAnswer: -8911, -3, 594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*c - 4, -22 = -w - 2*w - 5*c. Suppose u - w*u = -57. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 4 - -3) + (-14 - -2) + 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcs when three letters picked without replacement from sfcsuaffffcs?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 0)\/(-4) + -1. Let b(f) = -f**2 - 12*f - 11. Let g be (-22)\/4*(1 - -1). Let l be b(g). Which is bigger: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107699652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -4\/3*b**3 + 1\/6*b**4 + 2\/15*b**5 + 0*b - 5\/2*b**2 + 9 - 1\/30*b**6. Let n(h) be the second derivative of i(h). Factor n(v).\nAnswer: -4*(v - 2)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -7 - (-156)\/(-208)*(1 + -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929944 is divided by 464942.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqohhqqooddopooq. Give prob of sequence qp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4818143.\nAnswer: 11, 179, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-7) + 1 - 303\/(-21). Let g be (-16 + i)\/(2\/(-71)). Suppose 3*q - r + 6 = 47, 0 = -5*q + 3*r + g. What is the remainder when 37 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lsrm when four letters picked without replacement from {r: 2, l: 1, s: 1, m: 4, h: 10}?\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**5\/30 - n**4 + 19*n**3\/9 + 152*n + 75. Let c(k) be the first derivative of l(k). Factor c(s).\nAnswer: -2*s*(s - 1)*(s + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 less than -74.3118467?\nAnswer: -48.3118467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3)*-303*(1 - 0). Let g = c - 75. Let y = 9 + 4. What is the greatest common factor of y and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 3779474?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 11*h**2 + 10*h + 5. Let c be q(10). Put -6\/11, 2\/7, c in increasing order.\nAnswer: -6\/11, 2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*l = 25474 - 3178 + 89. Suppose 0 = g - 4*s + 160, -s = 5*g - 2*s + 857. Let y = g + l. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/1589 and -71\/63?\nAnswer: 14301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2.1 (b) -0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -605412.36 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 902 and 82000?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w + 1. Let c(p) = -10*p - 3. Determine -2*c(s) - 7*i(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22271339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 561*m**2 + 58*m + 58. Calculate the least common multiple of c(-1) and 408.\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61605 and 5550?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 12:28 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 14474*c**2 + 4*c - 3796*c**2.\nAnswer: -18270*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 3\/3 + 4. Let k(d) = d - 1. Let b(j) = 3*j - 3. Suppose -2*t + 9 = -11. Let y be (-6)\/t + (-384)\/60. What is c*b(p) + y*k(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b - 11. Let r be f(5). Suppose 6*c = r*c + 32. Suppose -8 = y - 4*p + 2, -3*y + 5*p - 2 = 0. Calculate the remainder when c is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1090 rounded to the nearest ten?\nAnswer: -1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20611.43 micrograms to nanograms.\nAnswer: 20611430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + 1 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 4 (c) 0.01 (d) -4\/7 (e) -6.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1266*u**3 - 630*u**3 + 9 - 4*u**2 - 2*u - 2*u**4 - 634*u**3 in the form l*u**4 + z + r*u**2 + t*u**3 + h*u and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (3 - (3 + -2 + -15 + -14))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3490362, -5 in ascending order.\nAnswer: -5, 1, 3490362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 18*h**2 - 82*h + 17. Let u be v(8). Is -17\/39 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, w: 1, z: 1, v: 2}. Give prob of sequence mvz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 5. Let v be f(5). Let t = -1 + -4. Sort 3, t, v in ascending order.\nAnswer: t, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0)\/(-5 - -4) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35.26 in -2\/3, 10.48, -8?\nAnswer: 10.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d*s*u**4 + 103*d*s*u - 29*d*u**2 + 4*s*u**3 + 5*u**4 - u**2 wrt u.\nAnswer: -72*d*s*u + 24*s + 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 12:54 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 0 + 0. Let m be 1 + 1*(-3)\/(-3). Let q(y) = -10*y - 3*y**m + 10*y + y**2. Give q(g(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 16*b**2 + 6*b + 162. Let m(g) = 7*g**2 + 3*g + 82. Let a(l) = -9*m(l) + 4*o(l). What is the tens digit of a(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cij. Give prob of picking 1 i and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 17*x + 11. What are the prime factors of y(15)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*d - 530 - 264, -802 = -2*h - 4*d. What is the remainder when h is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 15.9, -5, 3, -1\/3?\nAnswer: 15.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 165, 333, 501, 669, 837, 1005?\n\"Answer: 168*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g + 1 - 25*g - g**3 + g**2 + 10*g + 10*g. Let y(j) = 2*j**3 - 3*j**2 - 9*j - 1. Give -3*p(w) - y(w).\nAnswer: w**3 + 6*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18, -127, -318, -597, -970?\n\"Answer: -a**3 - 35*a**2 + 3*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 664\/555 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -1, -779.\nAnswer: -779, -1, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pigsdig. What is prob of picking 1 g and 1 i?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 84?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*h**2 - 20*h**2 + 7*h + 6*h + 49*h**2 to s + r*h + f*h**2 and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -91*z**3 + 13*z + 14. List the prime factors of r(-2).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2846 + 2897. What is the greatest common factor of 2703 and u?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3390*g - 44066. Give u(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/(-9) - 10\/(-30). Let w(y) = -47*y - 13. List the prime factors of w(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22886 + -22806. Solve -75*p + 55*p = l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 110?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqjqexb. Give prob of sequence xxe.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -706, -774, -842?\nAnswer: -910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w**3 - 837*w**2 - 20*w - 73691 with respect to w.\nAnswer: -3*w**2 - 1674*w - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/12944 and -97\/6472.\nAnswer: 12944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*s - 30, -3*n + 25*s = 23*s + 34. Sort 1, n, 0 in decreasing order.\nAnswer: 1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001584652 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21265377 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8200 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**6\/9 - 2*c**5\/15 + 13*c**4\/6 + 50*c**3\/9 + 4*c**2 + 292. What is k in j(k) = 0?\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m = 16. Suppose 5*r = -2*n + 5, m*n + 3*r = r + 18. Let o be (-1 + 171)*(-2)\/n. What is o rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 102.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z - 2. Let h(a) = -23*a - 11. Determine -h(d) + 3*o(d).\nAnswer: 17*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 245.928 months?\nAnswer: 2.0494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 8 - (-1 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - l - 1. Let n(h) = -48*h - 48. Calculate n(d) - 48*t(d).\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Suppose -31 = 13*o - 36 - 34. Calculate the highest common factor of o and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 29749, 29753, 29759, 29767, 29777, 29789, 29803?\n\"Answer: q**2 + q + 29747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -140, -209, -278, -347, -416?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - n + 1. Suppose z - 14 + 12 = 0. Let c(i) = 5*i + 2*i**2 - 3*i - 3*i**2 - 2. Let j(w) = z*h(w) + c(w). Let f(a) = a**2. What is j(f(k))?\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17556066*n**2 + 12*n + 13170 wrt n.\nAnswer: 35112132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147447, 294888, 442329, 589770, 737211, 884652?\nAnswer: 1032093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 103385, 206995, 310605, 414215, 517825?\n\"Answer: 103610*h - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1068 + 1067.9997641. What is o rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106889689?\nAnswer: 106889689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*r + 10*r + r**3)*(3*r - 3*r + 2*r + 0*r - r + 3*r + (-4*r + r + 2*r)*(-1 + 3 - 3) + r + 4 - 4 + 0*r + 0*r + 2*r + 0 - 2*r + 0).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x - 203. Let z(j) = -4*j + 406. Determine 5*t(v) + 3*z(v).\nAnswer: -2*v + 203","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 78667, 157334, 236001, 314668?\n\"Answer: 78667*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-84)\/98*(-14)\/15. Let 6\/5*q - k - 2\/5*q**2 = 0. Calculate q.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 6:37 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 363976.3311 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 24*p + 88. Calculate g(3).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 2 + 2 + (-3 + 3 + 2*u)*(0 + 1 - 3) - 2*u + 1 - 1 - 10*u - 7*u + 4*u + (22 + 9 + 6)*(0*u + 0*u + 2*u).\nAnswer: 57*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*y + 436 = 749, -102 = -2*h - 5*y. Solve -8*f - h = -101 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 5, 2\/9, 0.227, -1\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 15*r**2. Let h(w) = 5*w**2 + 14*w. Determine h(b(i)).\nAnswer: 1125*i**4 + 210*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4214\/168 - 19 - 6. Let p(u) be the second derivative of 0*u**3 + 0 + 2*u - m*u**4 + 5\/2*u**2. Calculate p(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 + 22321112131?\nAnswer: 22321112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 13 - 13)*(8 - 1 + 3).\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, w: 4, c: 3, a: 2, y: 3, q: 1}. What is prob of sequence yyca?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9 and -1.76271931?\nAnswer: 7.23728069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -7. Suppose 12 = 3*g + 22*q - 26*q, -4*g + 2*q - 4 = 0. Sort g, -2, n.\nAnswer: g, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(325)*1 + 2 + -3*(sqrt(208) + -3 + sqrt(208))**2.\nAnswer: -2520 + 149*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 6.2. Let s = 9.2 + g. Let f = s - 10.6. Sort -3, 4, f in descending order.\nAnswer: 4, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 5*l - 5*i, 15*l + 12 = 16*l - 4*i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1403 (base 10) to base 6.\nAnswer: -10255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from hjvev?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(396) - (0 + sqrt(396) + sqrt(396))) + sqrt(396))*-2*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 - 98*u**2 - 3*u - 143. Let b be m(-49). Sort b, -0.3, 1, -0.138, -0.4 in increasing order.\nAnswer: -0.4, -0.3, -0.138, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1484075.4 nanoseconds to minutes.\nAnswer: 0.00002473459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 2. Let v(w) = w - 8. Let p be v(t). Suppose -x + 4*l = -4*x - 10, -p*x + 4*l = 4. Put 1, 0.5, x, 0.1 in descending order.\nAnswer: 1, 0.5, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -118 * 1.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b - 18. Let f be v(6). Suppose 5*s - 5*g = 35, 0*s - 3*s = -5*g - 19. Calculate the greatest common divisor of f and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110011 (base 2) to base 11\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 23. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.308 - 320.692. Are u and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -39.\nAnswer: -10\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*y**2 - 17*y**2 + 75*y**2)*(-2 + 5 - 2)*(-3 + 5 + 0 + (0 - 1 + 3)*(1 + 4 - 3)).\nAnswer: 462*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/12 and -25\/4308.\nAnswer: 4308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 170 + -81. Suppose 180 = -5*u + 3*h, -3*u - t = h + h. Let n = 50 + u. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3542359 is divided by 1180728?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -8*h + 77. Let c be q(9). Suppose -6*o + 9*o - 2*x = 57, -c*x + 15 = 0. Calculate the remainder when 29 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6406\/13 + -492. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 19. Let n be k(9). Let q be -6*3\/6 - n. Let a = 3 + q. Calculate the smallest common multiple of 3 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*o**3 + 13273*d*o**2 + 18*d*o - 3*d - 435*o**3 - 652*o**2 + 3*o wrt d.\nAnswer: -o**3 + 13273*o**2 + 18*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275 and 17906165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*j**3 + 1)*(-501*j - 3*j**2 - 3 + 501*j).\nAnswer: 6*j**5 + 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -225.42384136 + 20.8.\nAnswer: -204.62384136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -490.62 (b) -17 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -0.1. Let p = 0.1 + i. Let g = 47 + -45. What is the biggest value in 2\/11, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 3:50 PM?\nAnswer: 506","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -2098.62502531 - 0.5.\nAnswer: -2099.12502531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqw when three letters picked without replacement from wwqp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 4, 37, 32 in ascending order.\nAnswer: -4, -3, 4, 32, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1162 and 1338043?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 5, -2, 2 in decreasing order.\nAnswer: 5, 2, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23\/((-644)\/(-12)) - 11\/(-7). Is 45\/38 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 12. Let l = -10 - v. Suppose -3*n + 2*d + 14 = 6, 3*n - 3*d - 9 = l. Calculate the greatest common divisor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i - 5. List the prime factors of d(-9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -337*w**3\/3 - 731*w**2\/2 + 2*w + 32. Differentiate t(u) with respect to u.\nAnswer: -674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35465?\nAnswer: 5, 41, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (28\/(-12) + 3)\/((-2)\/(-15)). Suppose -b*w = -2*w - 363. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + j**2 + j + 10. Let w be x(0). Let n be (-6)\/((2\/(-5))\/2). What is the greatest common divisor of n and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 4.543?\nAnswer: 18.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-16))\/((-1)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m = -41*m + 60. Let d be m\/(-45)*(6 - 0). Factor -2*q + 4*q + q**4 - 5*q**4 + 0*q + d*q**2 - 2*q**5.\nAnswer: -2*q*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 5*s - 15, 5*s - 8 - 10 = 2*y. Let o(u) be the first derivative of 0*u - 1\/2*u**4 + u**2 + 2\/5*u**5 - 2\/3*u**3 - y. Factor o(l).\nAnswer: 2*l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -607, -4680, -15765, -37372, -73011?\nAnswer: -126192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/21 or -16686?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/3564 and 29\/10?\nAnswer: 17820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3310*u - 3317*u + 6642*u.\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(1*sqrt(189) + sqrt(189)))\/sqrt(9))\/(-6*-2*sqrt(1008)))**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*u - 6 + 46 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -4 - (3 - 6)) + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 3 - 3 + (2*t + 0*t - 4*t)*(0 - 5 + 4) + (-36*t + 1314 - 1314)*(-2 - 2 + 2 + 2 + 2 - 2 + (0 + 3 - 1)*(2 + 5 - 4)))*(t**2 + t**2 + 0*t**2).\nAnswer: -426*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21035423 - 5047*l + 21035423 to the form f + j*l and give j.\nAnswer: -5047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**4 + 3111*i**2*n**2 - 2280*i*n**2 - 2*i*n wrt i?\nAnswer: -12*i**2 + 6222*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -33 - 33\/(2739\/(-3569))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 3*j - j**3 + 0*j**3 - 3*j**3 + 5*j**3 + (0*j - j + 0*j)*(3*j + j**2 - 3*j) + 408*j - 408*j + 57*j**3)*(0*j + 0*j - 2*j**2).\nAnswer: -114*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 20 - 260. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*17*(-28)\/2380?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 3*h + 3. Let f be r(3). Let t(u) = 7*u**2 + 11*u + 6. Let a(i) = -3*i**2 - 6*i - 3. Let q(x) = 5*a(x) + 2*t(x). Give q(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeppeppppppppepe. Give prob of sequence ppe.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13581 and 783.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -91, 3\/8 in ascending order.\nAnswer: -91, 3\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 4*z**2 + 4*z + 5. Let n be f(-3). Let s = 25 - 20. Put n, s, 0, -24 in ascending order.\nAnswer: -24, 0, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -294391 from 0.006.\nAnswer: 294391.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*i - 3*u, -4433*u = 3*i - 4432*u + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.31 (b) 5 (c) -1\/8 (d) 697\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 12 + 17 - 9\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18327 or 18325?\nAnswer: 18325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n. Let x = 40 + -23. Let r(c) = x*c + 4*c**2 - 17*c. Calculate g(r(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624804 is divided by 202.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from {a: 2, m: 7, k: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 305*b**2 - 1846*b - 119. What is d(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703.7356 nanometers to kilometers.\nAnswer: 0.0000000007037356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 8:10 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*j - 2*j. Is j*(3\/(-6) - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73.3 - -73. Let d = -3.94 - 0.06. What is the closest to -3 in d, 1.3, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(195)\/sqrt(5))\/sqrt(3) + 4 - (0 + 1 + (sqrt(117) + sqrt(117)*-2 + sqrt(117))\/sqrt(9))**2.\nAnswer: -4*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 31 = 29. Let g = p - -64. What is the lowest common multiple of 12 and 9\/(g - 65\/20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 310590021.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 18*z + 13. Let w be d(17). Put -3, 19, w in descending order.\nAnswer: 19, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, 0.1, 10 in decreasing order.\nAnswer: 10, 0.1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 36 = -14. Suppose 0 = 2*x - k*x + 368. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 395535 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5137*s - 2567*s = 2602*s + 808 + 1208 for s.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/22 - 62\/(-22). Let v(s) = h + s - 6 + 2. List the prime factors of v(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11303, 11306, 11309?\nAnswer: 11312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 17 - (-7 + 7 + 106 + -4 - 6).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millimeter in micrometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 63*g**2 + 764*g + 828.\nAnswer: (g - 46)*(g - 18)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -410, -122, 406, 1186, 2230, 3550, 5158?\n\"Answer: 2*b**3 + 108*b**2 - 50*b - 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8612 or -8613?\nAnswer: -8613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 96\/45 + (-246795)\/(-225) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 4:19 PM?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1522*g - 150. Let l(m) = 926898*m + 91320. Give -5*l(i) - 3044*v(i).\nAnswer: -1522*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 3. Suppose -11 = -d - 4*m, -3*d - 3*m = d + 8. Put n, d, 6 in decreasing order.\nAnswer: 6, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/3)\/(13\/(13\/2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21 (b) 2\/3 (c) 3 (d) -1\/5 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 3. Let i be (-2)\/v + 21\/6. Let m = 2816 + -2801. Solve -a + m = i*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/3 + 368*p\/3 - 8464\/3.\nAnswer: -4*(p - 46)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375 - 3*d + 10*d**3 + 153 + 148 + 74 + 2*d.\nAnswer: 10*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1107*h**2 + 2553*h**2 - 986*h**2 + (-2*h + 2*h + 3*h)*(-3 - 2*h + 3) as u + b*h**2 + x*h and give b.\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/6)\/(-1)*(-3 + 3). Suppose 0*n - n + 29 = s. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h**2 - 1357*h + 8630. Calculate the remainder when n(-200) is divided by 93\/5 - (-4)\/10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000085705 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-26 - (-40 + 11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011010110001111 (base 2) in base 11?\nAnswer: -31a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -11*t - 13. Let j be (2\/(-2))\/(4 - (-115)\/(-30)). What is the units digit of r(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27884 <= -27266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**3 - 12*g**2 - 9562*g + 103495.\nAnswer: -3*g**2 - 24*g - 9562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -107000 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -162466 (base 7) to base 6.\nAnswer: -404451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 93*p**2 - 10551*p - 4793935 wrt p.\nAnswer: 186*p - 10551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 0 - 6*g**2 + 6 + 5*g**2. Let a be d(0). Find the third derivative of -9*j**2 + 7*j**3 - 6*j**2 - a*j**2 + 12*j**2 wrt j.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4 + 255*k**3 - 21922*k**2 + 400320*k + 422496 = 0.\nAnswer: -326, -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21b97 (base 16) to base 5.\nAnswer: -13410020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 192*k**3 + 2*k**2 + 75*k**3 - 3*k**2 - 5.\nAnswer: -117*k**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*((-88)\/6 - 7\/21). What is y rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + 5 + (1 - 12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, i: 7}. What is prob of sequence iidi?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.4277 - -0.4277. Which is the biggest value? (a) 2 (b) 27\/7 (c) 0.1 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 + 79. Suppose x*m = -8*m + 4310. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1252432 = 1247578. Suppose 5*i = p - s, 16394423 = 5*p - 2*i + 3894419. Round p to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (6 + -19 + 11 + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 - 329 = -4*l. Let x = l - 104. Let v = x + 6. What is the lowest common multiple of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.6806 - 29789547?\nAnswer: -29789534.3194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r**2 + 2*r + r**2 + 2 + 4*r**2 + 2*r**2. Let c be k(-1). Calculate the greatest common divisor of c and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -45*m**4 + 19*m**3\/6 + 20*m**2. Is d(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59*o*x**3 - 66*o*x**2 + 2*o*x + 296*o - 624*x**3 wrt x?\nAnswer: -354*o - 3744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6570 is divided by 506?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 1:44 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**(5\/8))**(-14) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {j: 4, b: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 19. Let k = 0.05 - 3.05. Let o = k + 1. What is the nearest to -0.1 in v, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 459 to the nearest ten.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + 19*w**5 + (-w**3 - 3*w + 3*w)*(-w**2 + w**2 - w**2).\nAnswer: 20*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -37*x + 284 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z + 7. Let t(s) = -5*s - 13. Let f(k) = 7*c(k) + 4*t(k). Let p be f(1). What is the units digit of 3 - (-1 + 0)*p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 476 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 12*x + 10. Let a be r(13). Let b = -0.109 - 0.391. What is the nearest to 3\/2 in a, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 14 = 4*f - 15, 3*f + 2*g - 21 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 325188 and -10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(125))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4315*x - 145*x**4 + 4315*x)*((3 + 1 - 3)*(2 - 1 - 3) - 6 + 16 + 13) in the form f*x + u*x**4 + y*x**2 + i + w*x**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from zmzrguruv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 13*v + 14. Let t be a(1). Find the second derivative of -17 + 68 - t - 26 - 3*z**3 + z - 28*z**2 wrt z.\nAnswer: -18*z - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9\/2 + 25\/6. Let d = 6 - 5. Which is smaller: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3.3. Let g = 1.3 + d. Let l = 0.3 + -0.7. Sort 4, l, g in decreasing order.\nAnswer: 4, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 248848, 248986, 249112, 249220, 249304, 249358, 249376, 249352?\n\"Answer: -w**3 + 145*w + 248704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7386 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: Expand (4 - 3 - 2)*(-m**5 - m**5 - m**5 + (-525*m + 101*m**2 + 525*m)*(0*m**3 + 2*m**3 - m**3)).\nAnswer: -98*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 16*y + 57. Let p be j(19). What is the common denominator of -37\/16 and p\/(-4 - -2) + 122\/(-128)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-131*q + 56*q**2 - 47*q**2 + 17 - 8*q**2)*(3*q**2 - 3*q**2 - 2*q**2) in the form z*q**3 + b*q + s + v*q**4 + c*q**2 and give z.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 4, 50\/7, 1\/4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257151 is divided by 85698.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.05*-41.9057.\nAnswer: -44.000985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/7 + 2*n**2 - 8*n + 40\/7.\nAnswer: 2*(n - 2)*(n - 1)*(n + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -746, 1, -774?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*j**3 + 20*j**3 + 2*j**3 - 2*j + (j + 0*j + 4*j)*(-3*j**2 - j**2 + 5*j**2).\nAnswer: 35*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 11:52 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*1 + 2)*4*2*-1)**2.\nAnswer: 2560*sqrt(2) + 13056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 17 = 5. Suppose 4*p - v*k = -3*k + 26194, 0 = -3*p - 4*k + 19633. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91*g**4*q + g**3*q*y**2 + 8*g**3*y**2 + 11460*g**2*q*y**2 - 2*g**2*q*y + 3*g*y**2 wrt g.\nAnswer: -2184*g*q + 6*q*y**2 + 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 30420 - 26829. Calculate the remainder when o is divided by 453.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67093 minus -0.01?\nAnswer: -67092.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -12*h**2 - 4*h - 3. Let p(c) = 18*c**2 + 6*c + 5. What is -8*j(i) - 5*p(i)?\nAnswer: 6*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-11)*g*g))\/g**(1\/19)*g**7*g**(-1\/3)\/g assuming g is positive.\nAnswer: g**(890\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 94971 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -1\/3*g**3 - 2*g + g**2 + 1. Let k(b) be the first derivative of x(b). Give k(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3450*r - 1059*r - 22*r**3 + 1 - 3.\nAnswer: -22*r**3 - 4509*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3\/5 + 192*u**2\/5 - 3078*u\/5 + 2888\/5 = 0. What is u?\nAnswer: 1, 19, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4) + (-2 - 1) + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2967)\/138 - -22)\/((-9)\/1692)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 137842085 and 22569.\nAnswer: 137864654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7 and 0.035292.\nAnswer: 7.035292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (77\/(-63))\/(1\/10 - (-81)\/(-135))\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a, -7*l - 3*a + 68 = -3*l. What is the remainder when 48 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 170, -6\/43, -1\/5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20092 and 5.2766?\nAnswer: -106017.4472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1031 + -1025. Let a(f) = -f**3 + 6*f**2 - 5*f + 3. Let n be a(5). Let q(i) = -2 - n*i + r*i + 2. Let p(d) = -13*d**2. What is q(p(c))?\nAnswer: -39*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Let k(y) = 66*y - 1314. Let s be k(20). Solve 0 = x*g + s + 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 48 = m. Let o(d) = d**2 + 13*d + 14. Let n be o(m). Suppose n*r = 3*r. Solve r = -4*s - 11 - 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5415 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38852 is divided by 9710.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -10 - 6 + 2*k**2 + 46. Does 51 divide n(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*j + 5*b + 2, j - 1 = b. Let r = -2 + j. Let x(h) = -h - 3 + 6*h + 0 + 4. Calculate x(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 30*n**2 + 112*n + 63. What is j(-6)?\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -20. Let v = -212 - -215. Suppose -3*c - v = -4*c. Which is smaller: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251 divided by -560370\nAnswer: -251\/560370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.49 or -11112\/49?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*n - 164*n + 51*n to x + m*n and give m.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*p**5\/5 + 1596*p**4\/5 + 726*p**3 - 492*p**2 - 2136*p\/5 - 336\/5 = 0. What is p?\nAnswer: -2, -2\/7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 5:27 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 - -75. Solve 2*a = -b - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**3 + 9*n**2 - 281950*n + 845826. Give t(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/42790 and 19\/7?\nAnswer: 299530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4098829 litres in millilitres?\nAnswer: 409.8829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 561591520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - j**2 + j + 65. Suppose -13*o = -23*o. Calculate z(o).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (1 + 22 + 11 + -32).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (892\/60 - 7)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-190.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-4) + (-39)\/12 + 3. Solve 2*b - b = -2*f + 2, j = 4*f - 5*b - 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2*o = -4, -w = -3*o - 0*o - 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/1149 in -1\/4, -2\/9, 1, 352?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllplvppllpllvv. What is prob of picking 2 v, 1 p, and 1 l?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**4 + 0*v**4 + 0*v**4)*(0*v + 3*v - 4*v) + (v - 2*v**5 - v)*(0 + 0 - 1).\nAnswer: -3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1196721 and 2218563?\nAnswer: 3429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + m + 1. Suppose 0*v = -v - 7. Suppose -85*z + 36 = -474. Let i(b) = -2*b**2 + b + 1. Calculate v*i(k) + z*s(k).\nAnswer: 2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.6 - 17. Put 1, 0.2, z in decreasing order.\nAnswer: 1, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1, 8, 39, 106, 221, 396?\n\"Answer: 2*i**3 - 7*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -127091, -127120, -127149, -127178, -127207?\n\"Answer: -29*d - 127062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33986, 67992, 101984, 135956, 169902?\nAnswer: 203816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/550 and 16\/715.\nAnswer: 7150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + z - 23 = 0, 7*b - 4*z = 4*b + 104. What is the remainder when b is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2510, -198, 8 in ascending order.\nAnswer: -198, 8, 2510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(525) - sqrt(525)*2))\/(6*sqrt(28)\/sqrt(4) + (sqrt(448) - sqrt(448)*1)))**2.\nAnswer: 25\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6232 + 6418.6232. Let x = -6417.940036 + d. Let c = 0.06 - x. Round c to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18351*f**3 - 37363*f**3 + 19011*f**3 - 11*f.\nAnswer: -f**3 - 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + d - 1. Let x(a) = -18*a**2 - 24*a + 20. Let n(u) = -u**2 - u. Let p(s) = 6*n(s) - x(s). Let l(k) = 20*g(k) - 2*p(k). Factor l(w).\nAnswer: -4*(w - 1)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (12 - 10 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*r + 377 = 3*r, 2*r = 5*x - 618. Suppose 16 = 4*h - 4. What is the second derivative of -m**4 + 2*m - x*m**5 + m**4 + 125*m**h wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.108, 0.03, 4 in decreasing order.\nAnswer: 4, 0.108, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148955853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 4*b + 5*b + b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86 or 87306\/1027?\nAnswer: 87306\/1027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-18))\/((-4)\/(-56)))\/(150\/(-3150))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 323 + 0 = -3*d, 316 = 3*d - 2*q. Suppose 44 = u - 2*w, -5*u + d = -3*u + 5*w. Suppose -t - 3*t + u = 0. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-8) + -3)\/((-1)\/(-2)). Is (-5260)\/30*(x\/2 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = g + 13*b + 25, -2*g - 4*b = 30. What are the prime factors of (2 - g) + -3 - (3 - 19)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**3\/3 - 2*h**2 - h + 1. Let m be v(5). Find the third derivative of -7*z**2 - 5*z**4 + 5*z**m + 4*z**4 + 11*z**2 wrt z.\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/2 of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 49 - 1 = 0. Solve -i*h - 2*g + 13 - 31 = 0, 2*h - 2*g = -10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 51, 144, 285, 480, 735, 1056?\nAnswer: 1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -3153.\nAnswer: 12612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -8\/5 (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/11246407 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 2. Let q be y(-4). Let m be 1\/(-2)*(-4)\/q. Let f = 11\/7 - 85\/63. Is m equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-20) + (-2)\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 623 divided by -6.\nAnswer: -623\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32, -1, -76, -205, -400, -673?\n\"Answer: -2*r**3 - 9*r**2 + 8*r + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 8:26 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 5*u + 0*u**2 + 7 - 2\/3*u**3. What is the first derivative of y(i) wrt i?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(144)\/sqrt(2) - (sqrt(162)*3 - sqrt(162)))\/(-3*sqrt(9)*2 - (sqrt(9) - (sqrt(729)*-4 + sqrt(9)))))**2.\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 317 + -313. Suppose -3*w = -29 + 8. Suppose -w*p = -5*p. Solve m = -p*m + d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/30)\/((-2)\/4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1bb6451 + -8?\nAnswer: 1bb6445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102750*o*w**3 + 3989*w**3 - 5*w**2 - w wrt o.\nAnswer: -102750*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 273.45991 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a24e (base 15) in base 7?\nAnswer: 201632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/4)\/(i**23\/i) assuming i is positive.\nAnswer: i**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - f**2 + 4*f + 11. Give o(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 8 = 8*k - 2*c, -2*c = -4*k - 12. Let q(y) = -y**2 - 3*y - 5. Calculate q(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -18. Let n = -7 + q. Let g be (n - -2) + 2\/(-1). Is g at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - 28 - (6 + -2 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -629*y**4 - 6*y**3 - 29445*y**2 wrt y?\nAnswer: -15096*y - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6447 - -13519. What is the thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 1. Let f be (-7)\/(14\/8) - -3. Let i(y) = 20*y - 10. Let l(g) = f*d(g) - i(g). Is l(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 + 9*b - 15. Let o be m(3). Let k(u) be the first derivative of -u**4\/4 - 5*u**3\/3 + 3*u**2 + 6*u + 1. Does 5 divide k(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2131228, -4262456, -6393686, -8524918, -10656152, -12787388, -14918626?\nAnswer: -17049866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/69 (b) -2\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -57*p - 91. Does 13 divide k(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95271 + 95281. Let d = -3 + 3. Suppose 5*j + 4*y - 376 = 40, d = 3*j + 5*y - 247. Calculate the least common multiple of s and j.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 8*x. Let m be (-9)\/(-2)*(1 + 1). Let w be q(m). Find the common denominator of 69\/50 and -3 - (-212)\/w*2.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 408 and 648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 187657 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 - (5 + -12 + 23)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*p - 257 + 862 = 0 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f**3 - 103752*f**2 - 51867*f - 6483 = 0. What is f?\nAnswer: -2161, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 390458761?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -140, -1, -4, 5.\nAnswer: -140, -4, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irir when four letters picked without replacement from {r: 6, i: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 8041*u. Let h(r) = 1375*r. Calculate d(h(m)).\nAnswer: 11056375*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 29. Round l to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-1)\/1)*-1. Let f be -2 + (5 - (1 + l)). Suppose 3*p - 72 = f*n, p + 4*n = -3*p + 104. What is the remainder when p is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26837567 and -0.2.\nAnswer: 5367513.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**5 - 3992*l**4 - 1003956*l**3 - 3968048*l**2 - 3952144*l = 0. What is l?\nAnswer: -497, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1349 and 4331?\nAnswer: 82289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 47. Suppose 0 = -y + 2*w - 1022, g*y = 3*w - 2*w - 5101. What is y rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 1:33 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3475, 27966, 94569, 224380, 438495, 758010?\n\"Answer: 3516*d**3 - 40*d**2 - d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + k - 1. Let a(m) = 5*m + 4. Let p(w) = 28*w + 22. Let q(v) = -11*a(v) + 2*p(v). Determine j(g) - 4*q(g).\nAnswer: 2*g**2 - 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 - 72. Let m(g) be the third derivative of -3*g**2 + 0*g - 1\/20*g**y + 0*g**4 + 0 + 1\/3*g**3. Differentiate m(r) wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138 + 2*k**3 - 138.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crcrrwcrcwcc. Give prob of picking 2 r.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*n**3 + n + 25*n**3 - 2 + n**2 - 10*n**3 - 3*n**4 as s*n + b*n**3 + m*n**2 + d + w*n**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49604 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 849806173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57\/1544557 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5545916?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 10333033013?\nAnswer: 10333033000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2305 divide 62426315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5 - 7. Let j be (1*5)\/((-2)\/(-2)). Which is greater: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -6, 28, -542, 4.\nAnswer: -542, -6, -1, 4, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 603522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mw when two letters picked without replacement from mwmmmmwmmmmmm?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17276 (base 8) to base 13.\nAnswer: -3775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -11*t**2 - 10*t + 121. Let k(y) = -24*y**2 - 21*y + 259. Let s(a) = 6*k(a) - 13*p(a). Determine s(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13\/40 - 1\/8. Let z = 354 - 352. Determine r, given that 0 + 2\/5*r**z + i*r = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(475) - (-5 + sqrt(475))) + 3 + (6*sqrt(475) + 3)**2 + 1 + 2)*-1.\nAnswer: -17121 - 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40\/25 + (-19004)\/(-10).\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -835*r + 3*p - 13 = -839*r, 0 = -4*p + 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from {t: 2, l: 3, y: 11, j: 1, b: 1, f: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 3180*b - 15850.\nAnswer: -2*(b + 5)*(b + 1585)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -547\/12 - -577\/12. Let x(u) be the second derivative of -s*u**3 + 0*u**4 - 3\/4*u**5 + 0 + 0*u**2 - 10*u. What is the second derivative of x(m) wrt m?\nAnswer: -90*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*w**3 + 2 + 14*w**3 + 28*w**2 - 29*w**2 as b + k*w**2 + z*w + j*w**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -61.45 and -1.\nAnswer: -62.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 4*i**3 - 3*i**3 + (-8 - i + 8)*(10*i**2 - 4 + 4) as g*i**2 + t*i**3 + d + p*i and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -19080, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 17*g**2 + 21*g + 17. Let h(q) = 2*q**3 - 7 - 31*q - 35*q**2 + 72*q + 40. Let l(z) = 2*h(z) - 5*p(z). Is l(13) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1189.688681 and 11222?\nAnswer: 10032.311319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*c - i + 45, -c + i = -1. Suppose 5*q + 3*t = -c + 38, -q + 12 = 2*t. Suppose r = -3*s - 7, r + 3*s - 7*s = 14. Solve 0 = -r*u - q - 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 + 12*b**2 - 4*b + 1. Calculate the remainder when 222 is divided by x(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 7. Let v be s(5). Suppose v*g + 4 = 10. Suppose 2*y - 5 = -g*a, -2*a + 0 - 10 = -2*y. Solve -y*m = m + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.266 + 173.266. Let g = 172.999248 - l. Round g to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1819 or -7271\/4?\nAnswer: -7271\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -123 - -123.4. Let b = -0.13 + -0.23. Let u = b + q. What is the closest to 1 in 2, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6102 and -1700.6266.\nAnswer: -1701.2368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/q**(-6)*q)\/q)\/q*q)\/(q\/(q*q**11*q)*q)*q**(3\/4)*(q\/q**13*q)\/q*q assuming q is positive.\nAnswer: q**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**2 + l**2 - 3*l**3)*(-18542*l - 24354*l + 9057 - 10936*l + 5911*l - 9057) in the form f*l**2 + z + y*l**4 + r*l**3 + o*l and give y.\nAnswer: 143763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, g: 1, c: 4, m: 5}. What is prob of picking 1 y and 2 c?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b\/(b**(3\/4)*b))\/b)\/b)**(-1\/14)*b**(-15)*b*((b*b\/(b\/(b**(-2)*b)))\/b)\/b)**(1\/32) assuming b is positive.\nAnswer: b**(-127\/256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.44 - -0.04. Let u be -1 - (2 + 57\/(-21)). Let x be (-2 - (-2 + 4))\/(-14). What is the closest to u in -5\/4, a, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2327 divided by -291\nAnswer: -2327\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkbqc. What is prob of picking 1 x and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-32)\/(-3120)*1\/(-2)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*f = -5946, 3*r - 8902 = -0*f - f. Suppose -322 - r = -10*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-5) + (-20)\/(-150))\/(-4 + 3). Sort 0.3, 4, g, 0.5, 0 in descending order.\nAnswer: 4, 0.5, 0.3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 2*l**2 + 3*l - 2. Let d be z(-3). Let v = -55 - d. Let w be (v\/14)\/(2*1). What is the second smallest value in w, -0.3, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 37*l - 99200 = 0. Let f = -2073 - l. List the prime factors of f.\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-109)\/(-1199))\/(2\/(-6)*5\/10*2)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(0 + (-12)\/(-10)). Let z be 16\/4*81\/v. Suppose x - z = 73. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/5 and -61\/74?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-35))\/((-6)\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -283cd - -229?\nAnswer: -281a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27154884*v**2 + 13577446*v**2 + 13577426*v**2.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -w + 71*w**2 - 9*w**2 + 173*w**2 - 3*w**2 + 452 wrt w?\nAnswer: 464*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 29.356638 months?\nAnswer: 0.0024463865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.76968 kilograms in grams?\nAnswer: 29769.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 3 + 2)*(0*b + 2*b - 4*b) - 59 - 10*b + 59)*((b**2 + b**2 - b**2)*(0 + 2 + 1) - 2972 + 2972 + 27*b**2) as h*b + v + f*b**2 + k*b**3 and give k.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 173317225*m**2 - 39495*m + 9\/4 = 0.\nAnswer: 3\/26330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200022001010 (base 3) to base 15.\nAnswer: -12929c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/8 + 3)*(-2)\/(-6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -213887735993218 - -213887752295785.3999947. Let m = 16302565 - b. Let h = m - -2.4. Round h to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-119)\/(-2)*(-782)\/(-3542) + -13?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3108511, -6217018, -9325535, -12434068, -15542623, -18651206?\nAnswer: -21759823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905406?\nAnswer: 2, 3, 150901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -70 + -12 + 28\/14. Which is greater: -82 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hd when two letters picked without replacement from hoied?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88417, 177528, 266629, 355714, 444777, 533812, 622813?\nAnswer: 711774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, c: 7, z: 1, h: 1}. Give prob of sequence cehc.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 3*n**2 + 15*n + 6. What is the tens digit of v(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i + 17. Let w be y(-7). Suppose w*m - 450 = 3*j, 756 = -m + 6*m - 2*j. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 16*a**3 - 52*a**2 - 9*a - 856. Let t(c) = -2*c**3 + 6*c**2 + c - 1. Calculate 9*t(l) + v(l).\nAnswer: -2*l**3 + 2*l**2 - 865","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10122121010 (base 3) to base 15.\nAnswer: 1646c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1545, 2031, 2519, 3009?\n\"Answer: o**2 + 483*o + 1061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007763089485 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -26*m. Let x(q) = -6*q - 30. Let w(o) = 2*o + 9. Let p(f) = 20*w(f) + 6*x(f). What is p(i(r))?\nAnswer: -104*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 16 = -4*r. What is the second derivative of -64 - 8*v**5 - 149*v**3 + 148*v**3 - 3*v + r*v**5 wrt v?\nAnswer: -100*v**3 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/2 - 2)*8. Let n be f*2\/(24\/(-69)). Calculate the smallest common multiple of 16 and (-6)\/10 + n\/(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouuuuuiuoeuououuu. What is prob of sequence ioo?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 24, -9.\nAnswer: -9, -4, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 95717+-23638151\nAnswer: -23542434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(((-2)\/4)\/1). Let v = 4 - k. Let t be (-1)\/(v - 3) + -1. Solve 0 = -x - t - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kttt when four letters picked without replacement from {t: 2, k: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 13. Let l be (-14)\/(140\/30)*(-2)\/6. Let v be l + 1\/(-2) - (-230)\/(-828). What is the nearest to 1 in b, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from {u: 11, b: 2, g: 7}?\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 30787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-7) + (-18864)\/(-126)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, v: 1, u: 1, z: 1, s: 1}. Give prob of sequence vuo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/(-8))\/(-1)*4. Let g(q) = -q**3 + 9*q**2 - q + 9. Give g(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 10:24 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**6\/60 - v**5\/15 + v**3\/6 + 8*v**2 - 2*v - 40. Let j(x) be the first derivative of o(x). What is j(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465 - 132 = -81*a - 882 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769778.\nAnswer: 2, 384889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k - 4. Suppose 2*o + 2*o - 12 = 0. Let w be m(o). Factor 0*q**2 - 2*q**w - 6*q**2 + 2*q.\nAnswer: -2*q*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -2, 3, -5, 357 in increasing order.\nAnswer: -5, -2, -1, 2, 3, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.49954 hours to nanoseconds.\nAnswer: 48598344000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 9*u = -15. What is the tens digit of 3 - u - (-62 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2513*h - 8884*h - 10059*h + 4599*h - 4146*h.\nAnswer: -21003*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3525 divide 2246368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 2*r**2 - 6*r - 4. Let h be x(-4). Let a = h - -24. Suppose o = 3*o - a. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 2*y**2 + 3. Determine m(5).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*l - 107*l**2 + 831*l - 317*l + 0 - 2 - 307*l.\nAnswer: -107*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -712\/9, 30\/17, 36?\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1907606 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z**0)\/z))**10*(z\/z**(-2\/3))**(-1\/44) assuming z is positive.\nAnswer: z**(1315\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4215 > 4029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1*-2)*(10 + -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3 - 5\/(-6). Let a = 363 - 363.1. What is the closest to a in m, -2\/7, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**6\/15 + 22*z**5\/5 + 121*z**4 + 5324*z**3\/3 + 14641*z**2 + 39*z. Solve f(r) = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/51 (b) -0.03 (c) -2 (d) 4 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*f*h**4 - 801*f*h**2 - f*h + 1421*h**6 - 10*h**2 wrt h.\nAnswer: 1056*f*h + 170520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38500*d*o**2 - 9*d*o - 91*o**3 + 868375*o wrt o?\nAnswer: -77000*d - 546*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17127 is divided by 252?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/9 + 34098*u**2 + 3923460736*u\/3 - 129511339672\/9.\nAnswer: 2*(u - 11)*(u + 76726)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1590*r - 1886*r + 2040*r)*(3*r - r - 7*r) in the form a + k*r**2 + x*r and give k.\nAnswer: -8720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9609935 divided by 5?\nAnswer: 1921987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 (base 14) in base 12?\nAnswer: -199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 458 - 291. Let p = w - 77. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d**2. Let z(h) = -62*h**2 - 140*h**2 - 35*h**2 - 82*h**2 + 79*h**2. Determine i(z(n)).\nAnswer: 460800*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**2 + 112*y + 1701. Calculate r(-13).\nAnswer: 1259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 34 - 2*h**2 + 34 - 68. Let g(o) be the first derivative of 25*o**2\/2 + 2. Determine g(m(i)).\nAnswer: -50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911 is divided by 227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 53*v**2 - 82*v + 1020. What is s(-51)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 107668523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -138?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -169\/587 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 0 + 0)*(5*q + 12 + 24 - 4*q).\nAnswer: -3*q**2 - 108*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -111102300?\nAnswer: 111102302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 853+2.97\nAnswer: 855.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k - 20. Let g be z(4). Let l(q) = -g*q - 3 - q + 2*q + 2*q. Let r = -3 - -1. Calculate l(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128 + 236. What is the highest common divisor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a + 1. Let d be t(3). Suppose -5*p = 2*k - d, -4*k = -0*k + 5*p. Let b(y) = -y**2 - 2*y + 7. Calculate b(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k + 0 + 5 + k**3 + 2*k + 2*k in the form s*k**3 + h*k**2 + g*k + f and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*d + 147*d + 275 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-1)\/6) + 7 + -3. Does 10 = p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53141711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -13. Suppose j*w + 33 = 6*w. Calculate the smallest common multiple of 33 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -3 + -6 + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/20)*(t**(10\/9)\/t)\/t*t)**40\/((t**(2\/9))**(-27)*t\/(t\/(t\/t**(2\/5)))*t**(-2\/7)\/t) assuming t is positive.\nAnswer: t**(2876\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/823 - 5536\/61725. Let d = 6\/25 - r. Which is the nearest to 1? (a) -4 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -73*m + 19216. Calculate d(263).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -4, 1, 142?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4300, -4360, -4614, -5158, -6088?\nAnswer: -7500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3, -2, -2\/57, -2\/5, 2?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 18518369 - 7481631. What is s rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 1833?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 8 = 2*y - 0*y, -y = -4*m + 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*-1)\/sqrt(9))\/(-1*(sqrt(8)*-4 - sqrt(8)) + sqrt(8)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 0 + 19*m**2 + 0*m - m**3 - 41\/24*m**4. Let h(c) = 41*c + 7. Let s(b) = 6*h(b) + 7*u(b). Let k(x) = x**2. Calculate s(k(g)).\nAnswer: -41*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/10 and -15\/101069.\nAnswer: 1010690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 913 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1067 and 33?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 489273 - 489274.000055. Let g = n - -1. What is g rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300240 - 0.4?\nAnswer: 300239.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 148577?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1118.9 - -1119. Which is smaller: 229 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8415 and 1224?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*q + 20, 3*q - 2*b = -b + 5. Suppose q = -2*l + 7*l - 5. Suppose l = u + 5, -4*w + 5*u = -32. Is w <= 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + 39*t + 3. Let g = -22788 - -22785. Let j(d) = 4*d**2 + 77*d + 7. Calculate g*j(v) + 7*f(v).\nAnswer: 2*v**2 + 42*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 24*k**2 + 7772*k - 140490. What is n(-341)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 5:52 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1200.15 - -1201.450015. Let q = 1.3 - l. Round q to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -8*b**2 - 15*b + 3566. Calculate x(7).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 6*q - 4. Let v be x(-4). Suppose 0 = 2*u - v - 26. What is the remainder when 29 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7703 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22519778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -10*o - 2. Let u be o*6\/((-24)\/(-10)). Suppose -u*g + 3*g - 148 = -4*a, 0 = 3*a + 4*g - 133. Calculate the highest common factor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 21*t**4 + 114*t**3 - 123*t**2 - 1080*t - 432 = 0.\nAnswer: -4, -3\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72571242 is divided by 24190414.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 8 = -2*m, -2*p = 2 - 0. Is m at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -12, 5, 75, 27.\nAnswer: -16, -12, 5, 27, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111086 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 89568 and 18.\nAnswer: 89568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12633332579 and 0.08?\nAnswer: 12633332578.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 147. Let a be d*(0 - 4600\/3). Round a to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -71. Let x(w) be the first derivative of 4\/3*w**3 + 10\/3*w**g - 4\/15*w**5 + 8\/3*w - 1\/3*w**4 + 3. Factor x(b).\nAnswer: -4*(b - 2)*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 0.3 (b) -2\/5 (c) -20 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = -2. Suppose 5 + u = 2*k. Suppose -i + 4*l = -28, -k*i = -3*l - 53 - 40. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*c**3*p**3*t - 771*c**3*t**2 + 48*c**2*p**2*t**2 + 2*c**2*p**2*t + 2*c**2 + 6*c*t**2 + 2*p**3 wrt c.\nAnswer: -264*p**3*t - 4626*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cctwwttcczt. Give prob of picking 1 w, 1 c, and 1 z.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 10*t**2 - 9*t - 347. Determine h(13).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 28*z**3 + z**2 + z - 1. Let l be 2*(-5)\/50*-5. Let f be h(l). What is the highest common factor of f and 290?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -156.6 - -9.7. Let a = s - -245. Round a to zero dps.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 8 - (230 - 194)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -3*n - 8, 2*n + 8*d + 10 = 4*d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**3 + 18*y + 9*y**4 + 21*y - 6*y**4 + 2*y**2 + 1 - 38*y to the form r*y**2 + n*y + s*y**4 + c + p*y**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12380979?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5))**(-19))**(-1\/16) assuming c is positive.\nAnswer: c**(-19\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1417647168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65944024.\nAnswer: 2, 523, 15761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 times 13.863?\nAnswer: -1621.971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 12:22 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 168257, 169724, 171193, 172664, 174137?\n\"Answer: p**2 + 1464*p + 166792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 321 + -321. Suppose -z + 185 = -2*s + 7*s, 205 = 5*s + 5*z. Calculate the remainder when 71 is divided by h\/17 + 1 + s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39952118 and 1048.\nAnswer: 159808472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/120 and -64\/495.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23770 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**5 - 152*i**4\/5 + 112*i**3 - 316*i**2\/5 - 858*i\/5 + 36 = 0.\nAnswer: -1, 1\/5, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 4*m**2 + 2*m. Let b be h(3). Let g(t) = -t - 3. Let f be g(b). Factor -c**3 - 2*c**2 + f*c**3 + 2*c**3 + c.\nAnswer: c*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 412 + -219. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o**4\/7 + 4454*o**3 - 5184*o**2\/7 - 4454*o + 5196\/7 = 0. What is o?\nAnswer: -1, 1\/6, 1, 2598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-176)\/(-16) + 2 + 1267. What is the highest common factor of 240 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 261 - 659. Let g = -202 - w. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 17489 = 9011. Round p to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/96*(-7164)\/(-16119).\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from qqqqqqmqqqqqqqqqqmqq.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4040313 to the power of 1\/2, to the nearest integer?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 5*x + 270 - 283, 0 = 7*t + 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7338709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 3*n + 28 = 0. Suppose 0 = -n*i + 73 - 301. Let p = i - -57. Solve -t - 2 = -p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -22?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15190672 divided by -6?\nAnswer: -7595336\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - 0. Let o = -1167 + 1181. Let q = x + o. Calculate the greatest common divisor of 40 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y + 154 - 434 = 0. Suppose 35 = -y*k + 355. What is the highest common factor of 36 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 778 + -529. Calculate the remainder when y is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 932722 and 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 153006 = 5*s, -2*s + 6*s - 122432 = -5*j. What is the thousands digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*81.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -122531024 (base 6) to base 3\nAnswer: -11110200222121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944476.\nAnswer: 2, 13, 41, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 393167 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-50))\/(9\/36)*(-5)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + b + 29, -255*b = -254*b + 1 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p**2 - 214. Let y(k) = -2*k**2 + k + 11. Let u(n) = a(n) + 6*y(n). Let z(o) = -3*o. Determine u(z(t)).\nAnswer: -9*t**2 - 18*t - 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8984)\/168*1\/15. Let x = 173\/35 + o. Calculate the common denominator of x and 29.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q. Suppose 0 = 5*m - 15, -2*m - 244 = -j - 4*m. Let p(a) = j - 238 + 6*a. Give 7*n(x) - 6*p(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 8*h + 8. Let n(v) = -v**3 + 8*v**2 - 10*v + 13. Let g be n(6). Let y = g + -32. Determine m(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, u: 4}. What is prob of picking 3 q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 12, t: 7}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h - 41. Let j be l(12). Let f(x) = x**2 + 9*x - 5. Give f(j).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 39 = 7*s. Let f = -7 - -4. Let u be (4\/4)\/((-5)\/f). Which is the biggest value? (a) u (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.19 - 0.19. Let l = u + -13. Which is the closest to l? (a) -0.2 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 14215819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 2*o**2 - 5*o + 4. Let p be l(3). Let g = -0.4 + 0.4. Let q = -3 - g. Which is the nearest to 1\/2? (a) q (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u + 15. Suppose -5*f + 305 = -2*l, -3*f - l + 89 + 105 = 0. Let q be f\/7 + 1 + -4. What is the units digit of h(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -12*g. Solve -2*b + 5*b = g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1008) + (1 + sqrt(1008))*6 + 0)*-5)**2.\nAnswer: 25200*sqrt(7) + 1235700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-100)\/(-5))\/(-120))\/(2\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 109. Let i be o\/20 + (-6)\/2. Let c = -0.7 - 0.3. Put i, c, 2\/5 in increasing order.\nAnswer: c, i, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**5\/20 - s**4\/2 + s**3\/3 + 2*s**2 + 40786*s. Let k(y) = -y**2 - y + 5. Let b be k(0). What is t(b)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/120 and -133\/440?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8370, 19006, 36732, 61548, 93454, 132450, 178536?\n\"Answer: 3545*f**2 + f + 4824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14579 (base 16) to base 5\nAnswer: -10131241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7575515.\nAnswer: 5, 293, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 20, 2*i + 11 + 15 = -5*l. Let b = 36 - 33. Sort -1, i, b in ascending order.\nAnswer: i, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2153610249.\nAnswer: 3, 7, 102552869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/14455 and -53\/6800045?\nAnswer: 47600315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.913 - 4.087. Which is the closest to 0.1? (a) 3.7 (b) s (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.024337*-0.37.\nAnswer: -0.00900469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39836 less than or equal to 37867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37644, 37438, 36874, 35772, 33952, 31234, 27438?\nAnswer: 22384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -17 - 4)\/(65\/(-20) + 3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/588060 and -123\/59290.\nAnswer: 28814940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 640*c + 875. Let d(j) = -3*j + 3. Let h(x) = -a(x) + 5*d(x). Differentiate h(o) wrt o.\nAnswer: -655","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23608 and 82043?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 105.465 - 17.6\nAnswer: 87.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 0 - 17\/36*w**3 - 222*w - 19\/6*w**2 + 1\/72*w**4. Find x, given that p(x) = 0.\nAnswer: -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 508 + -487. Let f(h) = -13*h**2 - 3. Let n(q) = -4*q**2 - 1. Let w(z) = c*n(z) - 6*f(z). Let p(i) = 5*i**2 + 2. Give -7*p(g) - 6*w(g).\nAnswer: g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1\/5 (c) 188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001816952603 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98984\/15 + 6596. Let z = 8\/5 + m. Suppose -4*k = 3*t + 4, 0 = t + t + 4*k. What is the nearest to 1\/3 in -3, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1049 - 2413 + 1555 - 2196 + l to the form y*l + k and give k.\nAnswer: -4103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.087 - 5.2.\nAnswer: -5.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 11:32 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7467*m**2 - 2054*m - 55030160 wrt m.\nAnswer: -14934*m - 2054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*v + 30*v + 23*v + 27*v.\nAnswer: 39*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 1. Let b(j) = -j - 5. Let x(t) = -b(t) - 5*d(t). Let u(q) = q**2. Determine u(x(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2775*d - l = 2777*d - 50, 0 = 2*l + 16. Let p(q) be the first derivative of 19 + d*q + 11\/2*q**2. Differentiate p(g) wrt g.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12))\/(((-7)\/14)\/(-1)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 at most 3949224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -5*z**8\/336 - 2*z**5\/15 + 9*z**2. Find the third derivative of i(t) wrt t.\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 32*i = 8619. What is the highest common divisor of 78 and i?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.08 less than or equal to -89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -995 - -999. Solve p = -2*w - t, w + p = 3 - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1471, 1470, 1469?\n\"Answer: -y + 1472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*r + 51 = 0, q - 4 + 2 = -3*r. Let j = -17 - q. Let z be 5 + j + (-8)\/14. What is the biggest value in z, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 10*y + 89*y - 55*y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z + 448 = 613. Sort -181, 2, z, -5, 0.\nAnswer: -181, -5, 0, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o. Suppose 9*t = 16*t - 770. Let a(x) = -19*x**2 + t*x**2 + 128*x**2. Determine q(a(g)).\nAnswer: -219*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -425.5013 + 0.0013. Let j = q - -426. Which is the fourth smallest value? (a) j (b) -0.2 (c) -0.5 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**5\/3 + 104*m**4 + 3040*m**3 + 121792*m**2\/3 + 240064*m + 511104 = 0. What is m?\nAnswer: -22, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*h + 10024 - 7972 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*j = -3*i - 33*j - 2, i = -4*j + 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142125083, 142125081, 142125079, 142125077, 142125075?\nAnswer: 142125073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 10 = 5*v. Let l be 1\/v + 2\/(-4). Which is the second biggest value? (a) 3 (b) 2\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.09 - -0.11. Put 0.07, b, 0.5 in decreasing order.\nAnswer: 0.5, b, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.228 times -6856\nAnswer: -1563.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -4 - (-1 + 956\/240). Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 + -66. Let w = u - 27. Which is the closest to w? (a) -2\/9 (b) 1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**5\/5 - w**4\/4 - 5*w**2\/2 - 88*w. Let k be (2\/8)\/((-24)\/(-384)). Let d(o) = -4*o**3 - 2*o**2 - 4. Give k*p(f) - 5*d(f).\nAnswer: 4*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1246 from -93.1.\nAnswer: -1339.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -p + 30, -6*p = -5*z - 4*p - 36. Let d(l) = 8*l + 21. Let x(m) = -m + 1. Let h(q) = -d(q) + 4*x(q). List the prime factors of h(z).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 40*u - 43*u. Suppose 28 = 2*j - o - 0*o, u*o + 20 = 0. Are 12 and j non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/20 (b) -9 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.8 - -0.8. Let g = 19 - 28. Let q = o - g. What is the third biggest value in q, 3, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -155 + 170, -75 - 19 = 7*f + 2*m for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p**3 - 7*p**2 + 9*p. Let w be g(4). Calculate the greatest common divisor of w and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhrhhhhhrrrhw. Give prob of sequence wh.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-24 + 4\/(-2)). Let n = -941 + 922. Let t = n + g. What is the greatest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfuuuuxfffxxfeuffx. Give prob of picking 1 f and 1 u.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 6. Let d be t(-3). Suppose -5*c - 6 = 4*g + 10, -c = -g + 5. Suppose d = 5*q - 19 - g. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/21? (a) 0 (b) -2 (c) -1\/9 (d) 3\/230 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257343 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -219*m + 2855. Let i be f(13). Solve 6*l = i*l + 5*u - 30, -l - 3 = -2*u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 108*q**5\/5 - 111*q**4\/4 - q**3 + 3*q**2 - 2363. Determine i so that c(i) = 0.\nAnswer: -2\/9, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5 - -8) + 81\/(-15))*-20. Let w = l - 58. Let z be 45\/w*6\/(-3). Solve -2*x - x = z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(931)*6.\nAnswer: 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqotonnqttqtqn. What is prob of picking 3 n?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 + -1 - 3 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/10)\/(6\/(-10)). Is -180 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k + 7. Let v be t(-9). Let i be (4 + 2)*v\/(-4). Suppose r = 2*n + i, -r + 3*n + 40 = -67. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2699153 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9*5*45\/60.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/(-12) - (-2)\/(-12). Suppose 44 = 4*l - m*p, 5*l - 40 = -0*p - 5*p. Solve 3*s + 2 = -l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4166 + 4171 = 5*r. Let u = -207 - -2693\/13. Which is the closest to u? (a) r (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10647574 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2*c + 2 - 28, 5*s = -c - 65. Let i = -9 - s. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 27 = 5*k - 258, 4*k = 4. Calculate the greatest common factor of q and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 4:17 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1214083520 by -242816704.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u - 3. Let a(h) be the second derivative of -h**4\/12 + h**3 + 2*h**2 - 22*h. Calculate 3*a(l) + 4*k(l).\nAnswer: -3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 216*i + 10. Is g(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 83 - 21 + 6*o**3 - 2 + 1 - 59.\nAnswer: 6*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from niiilliiii. What is prob of sequence il?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -19426159800 rounded to the nearest one million?\nAnswer: -19426000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1856 is divided by 1832?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 362557 to the power of 1\/2, to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 10200*q**2 + q - 1. Let r be w(1). Suppose 0*k - r = k. Round k to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 1.5. Let j = 0.5 + z. Which is the third biggest value? (a) 0.3 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.584302 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 389 + (-5 - -4). Let a = z + -234. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 14*g - 40. Let o be q(28). Let m = o + -4574\/13. Which is the smallest value? (a) m (b) 2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -12\/157?\nAnswer: -12\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10202 - -21102201?\nAnswer: 21120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1347429, 5389744, 12126939, 21559014, 33685969?\n\"Answer: 1347440*p**2 - 5*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14012 (base 5) in base 7?\nAnswer: -3205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**1)**6*(h\/(h*h**5\/h*h*h))\/(h\/((h\/((h**(1\/3)*h*h)\/h)*h)\/h)) assuming h is positive.\nAnswer: h**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/17)*q\/(q\/(q*q**5)) assuming q is positive.\nAnswer: q**(104\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3*(-1 - -4). Sort o, 3, -1, -3.\nAnswer: -3, -1, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 4) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/15)\/(l**2*l))\/(l**(3\/2)\/((l**4*l)\/l))*((l*l**(2\/3))**(-2\/45))**(2\/47) assuming l is positive.\nAnswer: l**(-8077\/12690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10247\/2 + 5126. Which is the biggest value? (a) s (b) 20 (c) -1 (d) 38 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 47*r**2 - 3*r + 97. Give k(47).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 1:21 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010101000000100 (base 2) to base 5.\nAnswer: 2343044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -3*g - 2 + 15, -5*g = 3*k - 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/5, 2, 0.1074, -3\/4, -2.7?\nAnswer: 0.1074","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 0, -13, -32 in ascending order.\nAnswer: -32, -13, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 - 1. Let i = t - -0.4. Let w = 17.8 - 18. Is w not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 4. Suppose -21*g = -30*g + 72. Give f(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p. Let j(g) be the third derivative of g**4\/24 - 2*g**2. What is z(j(h))?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9*i**3 - 11*i - 10. Let w = 278 + -280. Let r(p) = 2 + 2*p - 1 + 2*p**3 + 1. Let s(v) = w*f(v) - 11*r(v). Differentiate s(x) with respect to x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -495 + 497. Which is the closest to 0.2? (a) -1\/5 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 9:07 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 = 3. Suppose -c*l + 50 = -5*s + 20, -5*s = -3*l + 35. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 + 31*i**2 + 15*i + 19. Calculate k(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -87*o - 3. Let q(g) = -g. Determine s(q(z)).\nAnswer: 87*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**3\/7 + 3*f**2\/2 + 378. Factor o(p).\nAnswer: 3*p*(p + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 11) in base 5?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -24*n - n**2 - 20 + 15 + 17*n. What is b(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1131 - z + 511 - 985)*(-2*z**3 + 4*z**3 - 3*z**3) + 2*z**2 - 2*z**2 + 4*z**4 as y*z + v*z**3 + d*z**2 + j + q*z**4 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v**2 - 13*v - 6. Let m be s(3). Let d(i) = -6*i - 14. Let b be d(-3). Solve 0 = -3*o - b*w - 5 - 7, -3*o - 2*w - 6 = m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714152295 rounded to the nearest ten thousand?\nAnswer: 714150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671753.8 years to months.\nAnswer: 8061045.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4606 (base 9) in base 7?\nAnswer: 12636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31092272 a multiple of 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (9045\/(-12060))\/((-3)\/(-60))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**2 - 3*v + 3. Let d(l) = 2*l**2 - l + 1. Suppose t + 14 = -2*t + g, 0 = 3*g + 3. Give t*d(q) + 2*j(q).\nAnswer: -2*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43? (a) 0 (b) 3 (c) -1\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 29*f - 5 + f**2 - 62 - 12. Does 5 divide q(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/((-65)\/(-3590)) + -2 + -4. What is the highest common divisor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 5*n + 25, 19275*z - 8*n + 2*n = 19274*z - 30 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 2*n + 5. Let r(u) = -9*u + 6*u**2 - 28*u**2 + 8*u**2 + 6*u**2 - 20. Calculate -9*c(m) - 2*r(m).\nAnswer: -2*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 3*k = 12*c + 33, -c + 3*k = -12. Let x(l) = l**2 - 17*l - 81. Let j be x(c). Let q(a) = a**3 - 3*a**2 + 3*a - 3. Determine q(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -487*i**5 + i + 90.\nAnswer: -9740*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of (8\/(-5) + (-14)\/35)*-18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -8296.32.\nAnswer: -8295.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3000274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-1*4\/256). Let y = z + -250. Calculate the remainder when y is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 46\/5 of a micrometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250595254 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 98 + (-19 - -5 - (45 - 31))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - 1)\/3 + 0. Let d(u) = 1 + 4*u**2 + 1 - r + 2*u. Is 16 a factor of d(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1046 is divided by 252\/(-15)*((-24)\/16 - 1).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - 53*r**2 - 30*r - 29. Give b(27).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/2732 and 55\/5242?\nAnswer: 7160572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-14)*o\/o**(1\/10))\/((o\/o**22)\/(o*o**(3\/10))) assuming o is positive.\nAnswer: o**(191\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -763, -2661, -6375, -12511, -21675?\nAnswer: -34473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21173784\/5 or -4234758?\nAnswer: -21173784\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*t - 4*y, -7*t = -6*t - 5*y - 9. Let i be ((-3)\/2)\/(t\/(-12)). Solve -2*p = -2*g + 4, i*p - 4 = -2*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 4. Let k = -0.8 + m. Which is the second smallest value? (a) 1 (b) 1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 9 = -111. Let n = -26 - q. What is the greatest common factor of n and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 404*g + 4676. What is f(11)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.50125ml in litres?\nAnswer: 0.03250125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -216.57 - -216.756314. Let b = k + -0.186. Round b to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3\/7 + 4168*d**2\/7 - 8364*d\/7 - 12528\/7.\nAnswer: 4*(d - 3)*(d + 1)*(d + 1044)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6095336*h**3 - 1756954*h**2.\nAnswer: -36572016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05203331 to three dps.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 3789 = -17827. What are the prime factors of f?\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 5, -53, -181, -403, -743?\nAnswer: -1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6051*l = -6040*l - 99 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 11*o - 15. Let n(v) = -3*v**3 - 7*v**2 + v + 4. Is n(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8*i + 7. Calculate g(12).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 + 210. Let p = l + -136. Suppose -2*m = 0, 2*c - 7 = -m + 1. Solve 0 = -2*q + p*d + 20, 0*q + c*q + 5*d - 1 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - ((-10)\/6)\/(-11 + 376\/36). Solve 0 = 2*f + 8, -x*i + 5*f + 18 = -11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**0\/j**(-3))**(-38\/5))**(2\/69))**(-6) assuming j is positive.\nAnswer: j**(456\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/280*(-18800)\/600 and -73\/190?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30830*u**2*y**2 - 7*u*y**2 - 638*y**2 wrt u.\nAnswer: 61660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 7*n**2 - 11*n - 13. Let s be p(-8). Let c = -12 - -4. Let i(v) = -v - 7. Let x be i(c). Put s, x, -3 in decreasing order.\nAnswer: s, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/1786076 and -75\/2648?\nAnswer: 3572152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y - 1\/6*y**4 + 0 - 1\/9*y**3 + 0*y**2 - 1\/45*y**6 - 1\/10*y**5. Suppose i(r) = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 12*p - 2667696 = 0. Let i(x) = -9734*x**3 - 5*x**2 - 12*x + 11. Let h be i(5). Let w = h + p. What is w rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331276472 a multiple of 3338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-140))\/(374\/(-55) - -8)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1\/2, -22, 6 in decreasing order.\nAnswer: 6, 4, 1\/2, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/((-4*4\/45)\/((-1246)\/3115))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 78660 divided by -285\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 479\/2 - (3 - 35\/10). Let f = -111 + k. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(171) + sqrt(171)) - sqrt(171) - 1*(sqrt(171)*2 + sqrt(171)))\/((sqrt(72)*-1)\/sqrt(8) + 2*sqrt(729)).\nAnswer: -4*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = q - 6. Suppose 3*m + 355 = q*m. Suppose -5*r + m = 3*u, -3*r - 67 = -8*r - u. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -787a - 32?\nAnswer: -78ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 1:31 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 16\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g + 35*g + 5 = 8*j, -j + 13 = 4*g. Put 30, -6, g in descending order.\nAnswer: 30, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8980 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -74025 + 7?\nAnswer: -7401b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)*(n*((n*n**(-11)*n)\/n)\/n*n*n)\/n assuming n is positive.\nAnswer: n**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - b. Let h(r) = -2*r**3 - 12*r**2 - 10*r - 6. Let v(a) = a**2 + 169*a - 341. Let w be v(-171). What is w*h(x) - 12*j(x)?\nAnswer: -2*x**3 + 2*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23, -8, 7, 22, 37?\n\"Answer: 15*l - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfr when three letters picked without replacement from {n: 1, e: 2, h: 2, r: 1, k: 1, f: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = -2*i + 5*m, -152 = i - 7*m + 5*m. Let z = i - -180. Calculate the remainder when 71 is divided by z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 41*y**4 + 5*y**2 + 28*y - 5. Let l(u) = 41*u**4 + 6*u**2 + 28*u - 6. Let v(n) = 5*l(n) - 6*o(n). Find the second derivative of v(z) wrt z.\nAnswer: -492*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - w - 34, 0 = f - 5686*w + 5683*w + 50 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -129?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26554944?\nAnswer: 2, 3, 13, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*g - 10*g = 5262831. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 + 0.70942.\nAnswer: 0.61942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38566698*b**2*k**3 + 81*b**2 + 187209*b*k**2 wrt k.\nAnswer: -231400188*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 6:12 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1. Suppose -t - 5*o = -11, 2*t + 31*o + 4 = 34*o. Let u(r) = 19*r + 2. Calculate t*u(h) + 4*m(h).\nAnswer: 19*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10\/347 - 10407\/12145. Let r = 2\/21 + 53\/105. Let w = f + r. Which is the biggest value? (a) -0.1 (b) -1\/4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13195 - 0.26805. Let l = 0 - -0.5. Let t = -3.93 - 0.07. What is the second biggest value in t, z, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**4\/24 + q**3\/6 + 2*q**2. Let l(s) = 4*s + 5. Let k(x) = 2*l(x) - 9*r(x). Is k(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1072*i*j - 9*i - 2*j**2 - 2 with respect to j.\nAnswer: -1072*i - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v + 13*v + 34*v**2.\nAnswer: 34*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5457343.\nAnswer: 5457343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2834 and 6032.\nAnswer: 657488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 311, 486, 663?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 76, 0, 3, -5, 19, -2\/13 in increasing order.\nAnswer: -5, -2\/13, 0, 0.3, 3, 19, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from btttttttbtt?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -303 - -73. Let i = 366 + g. Suppose -l - 81 = -4*n + i, 0 = -l + 3. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 10. Solve 0 = v*f - 4*f + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/7)*c)\/(c**(1\/8)*c))\/(c*c*c*c\/(c*c**(-1\/3)\/c*c*c)*c*c**(-8)\/c) assuming c is positive.\nAnswer: c**(1147\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 17. Let y be i(-15). Suppose -u + y - 2 = 0. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -19526015*u. Let k(h) = -3*h. Calculate q(k(w)).\nAnswer: 58578045*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 + 3*z - 9. Let w be b(4). Suppose 56*u - w*u = -44. Solve 2*n - u*a + 16 = 0, 0*n - 4*n + 18 = 2*a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -19\/4*o**4 + 21\/10*o**5 + 2*o**3 + 6*o**2 + 2*o - 3 - 3\/10*o**6. Solve d(t) = 0.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 10. Let m(h) be the second derivative of -h**5\/40 + h**4\/6 - 4*h. Let a(n) be the third derivative of m(n). What is -7*a(c) + 2*p(c)?\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5828 * -2.6.\nAnswer: -15152.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 25611600 divided by 5122320\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47379?\nAnswer: 3, 17, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 318*f - 284 - 309 + 587 - f - 2*f + 2*f + (-2*f - f + 2*f)*(-3 - 1 + 2).\nAnswer: 319*f - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 28 + 45 - 63.\nAnswer: 2*i + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/67*((-4)\/(-6))\/2. Let g(l) = l**3 - 7*l**2 + 4*l + 8. Let s be g(6). Let t = -1 - s. Solve t*o - 12 = -k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490177730 a multiple of 3452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2238304*x. Let b be v(1). Let f = 1369414 + 2168890. Let k = b + f. Round k to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z + z + 2*z**2 - 2 - 2*z + 3*z**4 - 5*z**4 as l*z + y*z**3 + n*z**4 + o*z**2 + k and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44986147 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.6 - 28.6. Let s = 3.7 - -20.3. Let i = z + s. Which is the closest to i? (a) 0.05 (b) -2\/9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 185 = 5*o, 2*m - 4*m = -4*o - 100. Calculate the least common multiple of (54\/(-8))\/((-9)\/24) and m.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14500095 is divided by 162.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2597057, 2597058, 2597059?\nAnswer: 2597060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) - (-18)\/5. Suppose y - 7 = r + 17, 0 = -l*y - 2*r + 108. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 1828*b - 3842. Let w be r(3). What is the greatest common factor of w and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25890742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 325484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7905 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-7) - 8\/(-28). Let p = 97\/8 + -85\/8. What is the smallest value in 3\/7, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 4 = -3*m - 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 66 + 68 - 135. Let f(t) = -2*t - 2. Give -4*a(u) + f(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 2*o**2 - 2*o**2 + 9*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than -1838\/321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -4*s + 3\/2*s**3 + 0 + 1\/20*s**5 + 3*s**2 + 1\/2*s**4. Let j be r(-6). What is j rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 191*t**3 + 3*t**2 - 6*t + 4. What is the units digit of c(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29\/124 - -15\/31. What is the biggest value in -0.4, 1\/6, q, -10\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - u + 204 = 0, 16 = -18*u + 14*u. What is the least common multiple of 260 and x?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 + 86. Let m(h) = 257996*h**2 + 4*h. Let v be m(c). What is v rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, 12, -4\/33, 5, -0.4, 39?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8805 and 2556972.\nAnswer: 1761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2\/4 + 57605*r\/2 + 4406860.\nAnswer: -5*(r - 23194)*(r + 152)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 30 = -5*d, 7*x = 9*x - 5*d - 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 - 3*m + 3. Let v(c) = 14*c**3 - 1. Let j be v(-1). Let s = -13 - j. What is y(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 399*m + 341 = 410*m. Which is the closest to 0.1? (a) -0.4 (b) -0.8 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1123 + -505. Suppose 5*k - a = -k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -451394 (base 10) to base 5.\nAnswer: -103421034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43, -31, -19, -7, 5?\n\"Answer: 12*g - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1184*h - 582342 = 6401*h - 123246 for h.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-2 + (9 + -4 - 4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**6\/72 - 3*q**5\/8 - 15*q**4\/4 - 117*q**3 + 227. Let a(n) be the third derivative of w(n). Factor a(i).\nAnswer: -5*(i + 3)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.7799763 weeks?\nAnswer: 471729666240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20215872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*t + 136 - 9 = -241. Sort 2, 32, t, 8, 1 in increasing order.\nAnswer: 1, 2, t, 8, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 4*b**2 - 2*b + 5. Let z(f) = -f**3 - 10*f**2 - 8*f + 13. Let h be z(-9). What is a(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 171*v + 4586. Calculate w(-19).\nAnswer: 1337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154*r + 33*r**2 + 154*r)*((r + 3*r - 6*r)*(-1 - 1 + 0) + 48*r - 94*r - 52*r).\nAnswer: -3102*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/5)\/(2\/5). Let y = 0.051 - -0.049. Let n = 1 - 0. Which is the closest to n? (a) y (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**5\/5 + 5*a**3\/6 - 56*a**2. Find the first derivative of w(d) wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 2. Let a be j(3). Let y = 2021 + -1867. Calculate the greatest common divisor of a and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 0.5 (c) -1\/5 (d) 0.033 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}