diff --git "a/data/dm_maths/full_data/1304_11255.jsonl" "b/data/dm_maths/full_data/1304_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1304_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 30421141 (base 5) in base 10?\nAnswer: 248296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 23*x**2 + 21*x**2 - 68*x**2 + 25*x**2. Let m(s) = -37*s**2. Determine m(g(a)).\nAnswer: -37*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**5 - 354*q**4 - 12306*q**3 - 177120*q**2 - 1026675*q - 1437750 = 0. What is q?\nAnswer: -71, -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6751*o + 33765. Determine h(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*w - 5. Let a be 1*10*w\/2. Let l(k) be the first derivative of k**3\/3 + 2*k**2 - 7*k + 392. Give l(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4297*c**5 - 2266*c**2 - 14045081*c - 12?\nAnswer: 85940*c**3 - 4532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, 0.027, 0.2, -2\/19, 3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 + -42. Suppose -c = r - 2*r. Find m, given that 2*m - 2*m**r + 5*m**3 - 4*m - 6*m**4 + 0*m + 5*m**3 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1536.8 + 1491. What is the second biggest value in 0.2, 5, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*t - 1. Let b = 2188 + -2185. What is the greatest common factor of b and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -222?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -100 + -5?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j + 4. Let a be w(0). Which is smaller: 7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 8*u**2 - 11*u - 4. Let i be s(-9). Let k be (-3)\/(6\/(-4)) - 4. Let v be (-35)\/((-3 - k) + 0). What is the highest common divisor of i and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 6 - 15 = 0. Let o(y) = y**3 + 2*y**2. Let w be o(-2). Sort w, l, 13, 2.\nAnswer: w, 2, l, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6759*158.\nAnswer: 106.7922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((33396\/(-368))\/(-121))\/(201\/(-8)).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1466.564 kilograms?\nAnswer: 1466564000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehjeevevveeeee. What is prob of sequence vv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 38*m + 7 + 66 + 9*m. What are the prime factors of z(5)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -329, -101, 129, 361?\n\"Answer: x**2 + 225*x - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 26031 = 2*o - 18285, -22170 = -o + b. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2051*b**2 - 64041 + 21355 + 21339 + 21347.\nAnswer: 2051*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6 - 3899*r + 1216*r**2 - 44 + 3896*r wrt r?\nAnswer: 2432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, q: 2, t: 2}. What is prob of sequence ttuu?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2\/(y**(-4\/3)*y)*y\/y**5*y**3)\/((y**2\/y*y)\/y**(-6)*y**(-4)*y\/(y**(-1\/3)*y)) assuming y is positive.\nAnswer: y**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8227246 to three dps.\nAnswer: 0.823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 greater than -1788496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 84?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766960 is divided by 11447?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.44 - -0.84. Put 15, 2\/3, -3\/8, q in increasing order.\nAnswer: -3\/8, q, 2\/3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 874844104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.79 + 5.38. Let s = 3.4 - h. Let l = 4.19 + s. Put 2\/7, l, -1 in increasing order.\nAnswer: -1, 2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s + 7. Calculate n(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.34 (b) 0.0485 (c) 0.14 (d) 0 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/7 (b) 3\/2 (c) -1426\/5 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a factor of 65906747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 6*s = -2*i, 3*i - 5*s = -4*s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622 less than or equal to 2607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3762566254?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10aee3 (base 15) in base 6?\nAnswer: -25023240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141 - 773*c**3 + 2*c - 360*c**3 + 470 + 936 wrt c.\nAnswer: -6798*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 6*k. Let h(m) = -1318*m**2 - 1323*m**2 + 2640*m**2. Determine 3*h(p) + w(p).\nAnswer: -2*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*w = -68, 28 = 2*v - 5*w + 4*w. Let x be v + 1*(-4 - -1). Suppose 380 = x*l - 4*l. Does 25 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4026 - 3679. Let k be 4\/1*(-6)\/(-8). Suppose -1520 = -k*g - d. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352905?\nAnswer: 3, 5, 7, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 30 + 50 = 0. Let k be 5 + (u\/6)\/((-8)\/(-12)). Suppose 40 - k = w. Calculate the least common multiple of 14 and w.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 11*o - 22. Is 11 a factor of y(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*(sqrt(2) + (sqrt(2) - sqrt(2)*-2)) + 1).\nAnswer: 6 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 - 7*u**2 + 19*u - 6. Let w(y) = -15*y**3 - 48*y**2 + 132*y - 42. Let x(q) = 27*f(q) - 4*w(q). Find l, given that x(l) = 0.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q. Let a = 9 - 13. Let s(h) be the third derivative of -h**4\/24 - 9*h**2. Let m(u) = a*s(u) + c(u). Let k(j) = 2*j. What is m(k(i))?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 328\nAnswer: -1\/328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2062 = 5*b + 4*u - 2051, 4*b - 3*u = 16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5 + 14 = 0. Solve 0*g + q*g = -12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((17 - 5)*-1 + ((-16926)\/(-108))\/13)*33.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111 or 9.774?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**3 + 102*o**2 - 369*o + 270 = 0.\nAnswer: 1, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/5 + 3. Let v = -8\/15 + o. Let -v - 2\/3*y**3 - 10\/3*y**2 - 16\/3*y = 0. What is y?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.28, 13, 2, -2\/29, -1\/118?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 300969007 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -563*f**3 - 3*f - 3. Suppose -w + 5 = -6*w. Is m(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/10)\/((-9)\/(-30)). Suppose 2*u + i*t - 4 = 0, -4*t + 1 = 2*u - 3*t. Is u at most 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**3 + 7*i**2 + 23*i - 99. Calculate x(3).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 + 5)*(-5 - 9*j + 5) + 4*j - 2*j - 3*j + (4 + 0 - 2)*(-5*j + 3*j + 0*j) + 11*j + 11*j - 8*j in the form o + c*j and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1115 is divided by 38?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 739796?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4859)\/(-43) - -20 - 53.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + 3506051?\nAnswer: 3506046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 12. Let s = -17 - g. Let l = s + 11.99999912. Round l to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h - 2194 = 5*n, 5*n = 4*h - 2226. Let v = -365 - n. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - h = -7, -2*w + 3*w - 4*h - 8 = 0. Let o = 4 - w. Find the second derivative of 2*q + 0*q + o*q - q**3 wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/11660 and -7\/2.\nAnswer: 11660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6235.\nAnswer: 5, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 1.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*x - 12254 = -0*p, -5*p - 4*x + 20411 = 0. Suppose -3*w + 4*r + 6198 = -6095, 0 = w - 5*r - p. Is w 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 -141, -337, -547, -771, -1009?\nAnswer: -1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/54)\/(((-180)\/135)\/(1 + 1)). Which is the biggest value? (a) -1 (b) 5 (c) -549 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 292 divided by 28442\nAnswer: 146\/14221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**4 + 375*k**3 - 6048*k**2 - 468780*k + 8314800 = 0. What is k?\nAnswer: -130, -41, 20, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 835737 - 157?\nAnswer: 835570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 658380728 a multiple of 1112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13059 divided by 4353?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/((-6)\/(-60)). Suppose 0 = g*h - 406 - 709. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -266782*d*o + 7673*d - 10 wrt o.\nAnswer: -266782*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 258367 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 + 9)*((-2*g**2 + 0 + 0)*(-1 + 1 + 2*g) + g**3 + g - g).\nAnswer: -45*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**4\/6 - y**3\/5 - 2*y**2\/5 - y - 1. Let o(j) be the first derivative of u(j). Factor o(r).\nAnswer: 2*(r - 1)*(5*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 598 + -342. Suppose -s = -b - w + 46, 5*b - 1537 = 4*w. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371296591?\nAnswer: 37, 10035043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 + 869211*y**2\/2 - 94440753012*y - 94441187618.\nAnswer: -(y - 434606)**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52663459 to the power of 1\/2, to the nearest integer?\nAnswer: 7257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240719112 and 303012?\nAnswer: 15948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2463 a factor of 477824019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 342 in -3, 2, 3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/21, 2, -8.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 90898193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/78 and -61\/3042.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 12181*a - 365362. Determine l(30).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 269.94783 rounded to 0 dps?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51862221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*l - 7*o + 181, 5*o - 365 = -4*l. Factor 405 - 71*i + 23*i**3 - 28*i**3 + l*i**2 - 424*i.\nAnswer: -5*(i - 9)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-7\/6))\/q**(-13)*q**(-23)\/(q**(-13\/5)*q))**21 assuming q is positive.\nAnswer: q**(-1099\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1368579?\nAnswer: 3, 456193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.2025584457 - -20\nAnswer: 18.7974415543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76*x**2 - 81*x**2 - 136*x**2 + (-2*x**2 + 2*x**2 - 2*x**2)*(1 + 1 + 0).\nAnswer: -297*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(4\/5)*d**(-1))\/(d**1)**(-7))**(-47) assuming d is positive.\nAnswer: d**(-1457\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.598943 rounded to two dps?\nAnswer: 13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 739136 and 12.\nAnswer: 2217408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -257148 divided by 28572.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.11 and 0.66991113551.\nAnswer: 0.55991113551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/10 and 49\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 170\/45 + (-2)\/(-9). Suppose d*h + 24 = 10*h. Let q(l) = -2*l + 3. Give q(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-25)*101435\/(-852054).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d + 5122 = 32072. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 439970103.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6474)\/(-52)*(4\/6 + 0). Let z(y) = -y**2 + 5*y - 2. Let j be z(5). What is the tens digit of 4 + j + -1 + s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.92 - -0.08. Let m be ((-6)\/756)\/(3\/150). Let t = m + 2\/7. Sort -2, j, t in decreasing order.\nAnswer: j, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**5\/15 - 12*h. Determine o so that a(o) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74351.39983 + -74352. Let t = -1.8 + 1.2. Let m = t - v. Round m to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7331 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 10 = 2*x, -v = 3*x - 3*v - 15. Suppose -5*t = -f - 23, -t - 2*f = -x - 4. Suppose t*s - 84 - 6 = 0. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwmmmmwmmmmmmmmmmm. Give prob of picking 1 m and 1 w.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {s: 5, w: 2, q: 3, y: 3}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7 - 16 + 5 + 5 + 6*q. Calculate p(-15).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 7*c - 60. Calculate k(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-9212)\/(-245) + -25)*(-23 - -28)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, -345, -1924, -5195, -10722, -19069, -30800, -46479?\nAnswer: -66670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12301 + 6149 + 6151 + 2359*v)*(2 - 2 - v) to the form q + l*v + b*v**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9)*(-2)\/4*-78\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 517645660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3841257614 + 11.2?\nAnswer: 3841257625.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3029 and 4.\nAnswer: 12116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 130393132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42853, -42853, -42851, -42847, -42841, -42833, -42823?\nAnswer: -42811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*z - 0, -3*f = 3*z. Let x(h) be the third derivative of 3*h**4\/8 + h**2. Determine x(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28288637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*d + 73, d + d - 43 = -3*y. Let w = y + -16. Suppose 3*o - f = -2, -7*o - 5*f = -3*o + 9. Put w, 3, o in increasing order.\nAnswer: w, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-6))\/((-62)\/279))\/((-36)\/(-258))?\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-25274.\nAnswer: 25274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 25 = -4*j, 7*t = -3*j + 9*t + 23 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 4*t**5\/15 + t**4\/12 + t**3\/2 - 15*t**2. Is 10 a factor of q(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11300 is divided by 255?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.7 + -36.7. Which is the nearest to d? (a) -8\/3 (b) 2\/25 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 + 2 - 2 + (-2*j - 2*j + 9*j)*(0*j**3 - j**3 - 6*j**3).\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + a + 2*a + 2*a - 2*a + a + (-4 + 1 + 2)*(0*a + a + 0*a) + 2 - 2 - 2*a - 6*a + 2*a + a)*(15*a + 19*a + 5*a)*(1 - 2 + 4)*(5 - 6 - 6).\nAnswer: 4914*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q - 3. Suppose -215*t - 100*t + 1890 = 0. What is the least common multiple of t and n(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 33*t - 83 + 964 = -736 for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*n + 16, 9*l + 10 = 4*l - 5*n. Suppose -5*m - l*m + 1200 = 0. Does 50 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3377 + 3377.000006699. Round h to 7 decimal places.\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*56\/(-3) - 4032\/(-224)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o. Let h(y) = 732019*y. Give h(k(m)).\nAnswer: -1464038*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1\/7 (c) 3\/4 (d) 2\/17 (e) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*b**4 - b**3 + b**2 - 5 wrt b.\nAnswer: 1752*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246 a factor of 5184846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7*h**2. Let q(m) = 13*m**2 + 7. Let v(n) = 14*n**2 + 6. Let b(y) = -6*q(y) + 7*v(y). Calculate i(b(c)).\nAnswer: -2800*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + 60. Let z = i - 53. Suppose -20*a = -z*a + 88. What is the remainder when a is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - 0.34. What is the closest to -2 in z, 5, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46279333?\nAnswer: 46279333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8652 - -8652.3. Put m, -9, 2\/15 in ascending order.\nAnswer: -9, 2\/15, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26312460935934302389\/671930 + 39159526938710. Let f = 1\/95990 + r. Let q = f - -55\/7. Find the common denominator of q and -93\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*z - 6 - 89, -5*z + 189 = -4*x. What is the tens digit of ((-108)\/(-24))\/((-1)\/x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6931, 13878, 20825, 27772?\nAnswer: 34719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 0*y + 1\/2*y**3 - 14*y**2 - 1\/24*y**4 + 1\/10*y**5 + 0. Does 12 divide r(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = a - 44. Suppose 2*p = p - 1, 3*s - a = -3*p. Suppose -44 = -s*j + 131. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -0.1449\nAnswer: -0.0449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 35 + 10. Let a(u) = u + 1. Let w(h) = 14*h + 14. Let q(o) = 10*a(o) - w(o). What is the units digit of q(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ama when three letters picked without replacement from mmammmaamma.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -789*g + 3113. What is q(4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3010 (base 5) to base 8\nAnswer: -574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35134235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 1. Let v be k(2). Suppose d + 2*d = v*g, 4*d - 27 = -5*g. 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 s(b) = -b**2 - 16*b - 11. Give s(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (13 - 16) - -2 - 8 - (27 + 1).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 25176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/7))**(26\/7)\/(((u**8\/u)\/u)\/(u\/(u*u**6*u)*u*u)))**(9\/8) assuming u is positive.\nAnswer: u**(-3681\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 2, -2, 0.063, -0.79?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 502066179 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/50*(-236)\/354?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24 and 177.7?\nAnswer: -4264.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/4, -2, 2.1, 0.2, -28?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + (-10)\/(-4))*4. Put 5, 4, 0, a in increasing order.\nAnswer: a, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 56. Let t = 11 + -7. Let w be (2 - t) + 34\/2. Solve 2*b - w = z*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1480 - -1336. What is the third smallest value in -4, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 330 = 19*c. Solve 0 = 11*q - c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239131236 to the power of 1\/2, to the nearest integer?\nAnswer: 15464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/625 and -21\/625.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*g + 73 = 0, -4*g - 1 = -l - 29. Let k(z) = -z**3 - 16*z**2 - 3*z - 30. Let u be k(l). Solve -3*w + 11 - 1 = -4*f, -4*f - u = w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*d**2)*(0*d - d + 3*d) + 3479*d**3 + 2507*d**3 + 586*d**3 as u*d**2 + x + n*d + l*d**3 and give l.\nAnswer: 6576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -50*s + 231. Let n(y) = -103*y + 462. Let i(t) = -7*a(t) + 3*n(t). What is the first derivative of i(o) wrt o?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -45, 81, -1 in increasing order.\nAnswer: -45, -3, -1, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2079443 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/18)\/(((-40)\/20)\/12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -4*l - 2*r + 17, -10 = 5*l - 4*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -6)*(27 - 26). Let v(m) = -m**3 + 8*m**2 - 2*m - 30. Let u be v(h). Solve 2*b + 4*o + 9 = -5, -3*o + 9 = -u*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaq. What is prob of sequence aqaa?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 121320 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in -0.034, 0.07, -34\/21, 4\/9, -0.04?\nAnswer: -34\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47035*5.967.\nAnswer: 280657.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2. Let h(t) = 69*t**2. Determine l(h(f)).\nAnswer: 9522*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/21*(-14)\/(-42).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 74 from -108.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -75*w**2 + 446*w + 53. Let a(z) = 7*z**2 - 42*z - 5. Let y(v) = -32*a(v) - 3*b(v). Suppose 4*q + 4*s = -24, -q + 3*s - 2 + 0 = 0. What is y(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0*v + 0*v)*(-2*v + 0 + 0) + 2 + v**2 - 27*v**2 - 25*v**2.\nAnswer: -49*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -60*r - 281. Let x(k) = 46*k + 279. What is -3*c(t) - 4*x(t)?\nAnswer: -4*t - 273","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 - m - 18*m**3 - 42*m**3 + 3*m**2. Suppose 0 - 1 = s. Calculate the remainder when y(s) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1188 (b) -0.2 (c) 2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 531 - 532. What is the closest to 0 in -58, 4, 1\/5, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27\/13182374 or -1?\nAnswer: -27\/13182374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.5 + -16.5. Which is the smallest value? (a) -9\/2 (b) p (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, 0.729, -4, -0.3 in descending order.\nAnswer: 0.729, 0, -0.3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/6*(-819)\/(-14). Let l be (-7 - -1)\/((-9)\/n). Let k = -49 + l. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/24 and 1\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(99)\/(-2*sqrt(9)).\nAnswer: -sqrt(11)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g = -28*g + 2*k + 6, 0 = -4*g + 7*k + 19 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(7\/2)*h*h*h))\/h*h\/(h\/(h\/(h**10*h)))*(h*h**(2\/39)\/h*h)\/(h**(26\/3)*h) assuming h is positive.\nAnswer: h**(-653\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2*i = -2, -2*y + i - 4 = -2*i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, g: 1, o: 6, w: 1}. What is prob of sequence oeoo?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15470.3 minus -21955?\nAnswer: 6484.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-274008)\/(-8820) - (-36)\/(-3) - 19?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-15))\/(2\/18). Put -2, u, -1 in ascending order.\nAnswer: -2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002686930997 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -839941526.2 + 0.2.\nAnswer: -839941526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - 17. Let k be (8\/(-24))\/(2\/r). Let l(q) = -q**3 + 4*q**2 + 4*q + 7. Determine l(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(204) - -2*sqrt(204)) + sqrt(204) - sqrt(204))\/sqrt(12) + -2*sqrt(425) + 4).\nAnswer: -28*sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**3 + 25*a**2 - 6*a. Let m be q(6). Let g(c) = 4*c**2 + 4 - 3*c**2 + 6. Give g(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 3:46 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12 - 2) + -4 - -4) + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -95475, -95476, -95477, -95478?\n\"Answer: -j - 95474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -199 - -317. List the prime factors of g.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - -553106?\nAnswer: 553121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/7 - 4)\/((-2)\/27). Let d(c) = 2*c**2 + 1. Let h be d(-1). What is the highest common factor of n and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 4*h**2 - 5*h - 3. Let y be i(-3). Suppose -v - y*j + 6 = 0, 4*j = -4*v - 0*j + 24. Let u = 18 - v. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 2 - 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 7*z**2 - 7*z - 4. Let s be l(-5). Let t = 35 + s. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 32. Let h = d - 0.23. Round h to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q**2 + 50793*q - 304735. Determine r(6).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6664 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 3*x**2 - x + 3. Let n be r(-3). Let q(l) = l - 3. Let b be q(n). Suppose 0 = -2*m + 8, m = h - b*m + 11. Solve 0 = -h*f + f + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.4 + 19. Which is the third biggest value? (a) 1.4 (b) r (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + a - 28. Suppose 1289*c + 1040 = 2*t + 1285*c, 3*c = 4*t - 2110. What is the greatest common divisor of a and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42 + (3*-1)\/(-3). Suppose -3*r + l = -20. Is 21 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1103 + -1102.6. What is the third biggest value in m, -2, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*m + 71 = 102*m + 4*u + 195, 811 = 9*m - 28*u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226822.\nAnswer: 2, 19, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 3601 = 3483. Does 30 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 - 2 - (-1 - -1 - (0 + (3 - 4)))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times -1628478?\nAnswer: -21170214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6727*-24709.\nAnswer: 166217443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -379 or -39189\/103?\nAnswer: -39189\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 44*x + 2. Determine l(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 + 4*i**3 - 6*i**3 + 2*i**4 + (0 - i**2 + 0)*(0*i + 0*i + i**2) + 0*i**2 + 0*i**2 + 2*i**4.\nAnswer: 3*i**4 - 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**3 + 10*a**2 + 5*a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -125*k**3 - 4*k**2 + 3*k + 6. Calculate the remainder when m(-1) is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 288 and -5.\nAnswer: -1440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-129)\/(-86)*(-1)\/(-3))\/(3\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16\/(-24) - 86\/(-3) is divided by (-4)\/10 - 104\/(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 - 60 + 28)*(-3*a + 2*a + 2*a) + (-3 + 13 - 3)*(-a - 3*a + 5*a).\nAnswer: -78*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -0.02, -0.1 in ascending order.\nAnswer: -0.1, -0.02, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 4082*s**2 + 461040*s.\nAnswer: 2*s*(s + 120)*(s + 1921)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0)*(52\/(-48) - -1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 12:25 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**2\/4 + 24593*m\/2 - 604815649\/4 = 0.\nAnswer: 24593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 37 + 4*f - 11\/2*f**2. Let u be m(-4). What is the highest common divisor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3.3, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2491.\nAnswer: 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101217, -101218, -101219?\nAnswer: -101220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p + 0*p)*(73*p**2 - 24*p + 26*p + 164*p**2)*(4*p - 4*p - 3*p).\nAnswer: -1422*p**4 - 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8045 + 32347\/4. Let o = s - 3833\/92. Factor -o*g**4 + 0 + 2\/23*g**3 + 0*g + 4\/23*g**2.\nAnswer: -2*g**2*(g - 2)*(g + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/1)\/(2\/(-2)). Suppose -w + 4 = -k - k, -2*k = 2. Calculate the remainder when z\/(-8) - 26\/(-8) is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 180 = 6*h. Suppose 89 = l + h. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7))**(3\/8) assuming k is positive.\nAnswer: k**(3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.22472 + -0.07528. Let j be (3\/(-15))\/(3\/6). What is the nearest to j in 2, l, 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1096*c + 2345*c - 3670 = 1045*c - 16930 for c.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 9:05 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z. Let p(s) be the second derivative of 0*s**2 - 26\/3*s**3 - 5 - 6*s. Give y(p(j)).\nAnswer: 52*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 2*m**5\/15 - 37*m**2 + 5*m. Let p(g) = 8*g**2. Calculate p(l(k)).\nAnswer: 512*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -12. Let j = -8 + m. Suppose -12 - 12 = -j*t. Solve 12 = 5*p - t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w + 6. Let t be f(4). Is 7 a factor of (-8)\/(-6)*(-39)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(114) - (sqrt(114)*2*-1 + sqrt(114))))\/(((sqrt(168)*2)\/sqrt(4) - sqrt(42))\/sqrt(7)) + -3)**2.\nAnswer: 48*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + j + 1 = 0, -d + 6*d + 4 = -4*j. Suppose 3*s - 59 - 43 = d. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 37, -4, 2, 0.2.\nAnswer: -21, -4, 0.2, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*d + 67 = 0, 5*c + 16*d - 1769 = 10*d - 1508 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8261036567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -8. Suppose u = 6*y - y - 20. Suppose -y = 4*z + 8. Which is the smallest value? (a) 2\/3 (b) z (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 595338, 595334, 595330, 595326?\nAnswer: 595322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h + 28*h + 34*h - 61*h = 1512 for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nibint. Give prob of sequence bi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 24. Suppose 0 = -5*m - t + 20. Suppose c + 5*b = -37000, -148000 = m*c - 3*b - b. Round c to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 28 + 1 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, 740 in descending order.\nAnswer: 740, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0534 + 0.051. Round g to 4 dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13868*w**3 - 18*w**2 + 659247*w.\nAnswer: 83208*w - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 12*n - 6. What is k(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.374903 and -0.09?\nAnswer: -0.03374127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(4\/5)\/((r*r\/(r**(8\/5)\/r*r)*r)\/r) assuming r is positive.\nAnswer: r**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.026 + -2.026. Let z be (-65)\/10 + 2\/(-4). Let y(s) = -s**3 - 6*s**2 + 7*s - 3. Let b be y(z). What is the second biggest value in r, -1\/3, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*m - 30, m - 6*o + 2*o + 11 = 0. What is s in -s + 8*s - 54*s**4 - 2*s + 7*s - 15*s**m - 51*s**3 = 0?\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 477, 754, 1031, 1308?\nAnswer: 1585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12685353 or 12685352?\nAnswer: 12685353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 - ((-4 - -2 - -3) + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 904\/13, -0.1, 2, -1 in decreasing order.\nAnswer: 904\/13, 2, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3.1. Let w = a + 0.5. Suppose -u = p - 11, 4*p + 8 = 2*p + 4*u. Is w >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -742, -1233, -1714, -2179, -2622, -3037, -3418, -3759?\nAnswer: -4054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/450 and 73\/8?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721868 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4806*f**6 - f**5 + 815254*f**2?\nAnswer: -576720*f**3 - 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -17*r. Let v(y) = 18*y**2 - 3*y + 12. Let z(m) = 38*m**2 - 7*m + 28. Let p(j) = -7*v(j) + 3*z(j). Calculate p(h(u)).\nAnswer: -3468*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 - 2.7. Let d = -3.99 - 0.01. Let a = -0.3 - -0.5. What is the nearest to a in d, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -200 - -3991\/20. Calculate the common denominator of -11\/895 and d.\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -78, -132, -132, -48, 150?\n\"Answer: 5*s**3 - 3*s**2 - 80*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 4 - 576*v + 2 + 11.\nAnswer: -576*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**4\/3 - 7*l**3\/6 - 2040*l**2. Let j(c) = -c. Determine -d(n) - 4*j(n).\nAnswer: -4*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2178 + 44*y + 2\/9*y**2 = 0. What is y?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4265 or -4222?\nAnswer: -4265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*c**4 + 2*a*c**3 - 2*a*c - 51*a + 59*c**3 + c**2 wrt c?\nAnswer: -24*a*c + 12*a + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2144 and 4020.\nAnswer: 32160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179549393?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 7. Let n be a(2). Suppose n*t = -29 + 119. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*c + 290 = 5*c, -a + 58 = -4*c. Let s = -32 + a. What is the remainder when s is divided by (-2)\/(-9) + 248\/18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 3*i + 4*m + 4, 4*i - 5*m = 0. Suppose 2*t = p - 5, 0*p - 25 = -i*p. Suppose 9*a = 3*a + 30. Solve -3*w - a*r = -t*w, 3*w - r = -18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2273389818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4) - (-308)\/440. What is the closest to 0.2 in 2\/19, 0.1, 0.052, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-39)\/(-108) - 3\/12. Sort 0.4, 0.2, 0, r in ascending order.\nAnswer: r, 0, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.2, -3, -192, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 2 - 2)*(133 - 133 - 2*g) - g**2 + 4*g**2 - g**2 - 5*g**2 + 4*g**2 + 0*g**2 as o + h*g + v*g**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 489 and 597.\nAnswer: 97311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8\/(a\/a**(17\/2)))**(-2\/7) assuming a is positive.\nAnswer: a**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2285137 minus -100724228?\nAnswer: 98439091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 0*r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 13*k = -14, -2 = u - 14*k + 17*k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -955 = -5*f - 4400. Let w = f + 698. Calculate the remainder when 40 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445026 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1343, -1415, -1617, -2015, -2675?\nAnswer: -3663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 + 0*o - 46 + 15 - 6*o + 28 + 0*o**2 in the form t*o**2 + i + x*o and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, p: 3, f: 8}. Give prob of sequence ap.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57 (base 13) to base 15.\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 18*g**2 - 191*g + 3193. Give r(16).\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(15)\/sqrt(5)))\/((sqrt(30)\/sqrt(3))\/sqrt(5)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 47 = -14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1644 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198952779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 7. Suppose -2*q + 2 = x, 0*x = n*x + 5*q - 5. Suppose 1 = -j - 1, x = c + 3*j - 88. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -37\/60*k**5 - 1\/210*k**7 + 0*k + 204*k**2 + 11\/120*k**6 - 3*k**3 + 15\/8*k**4 + 0. Factor t(a).\nAnswer: -(a - 6)*(a - 3)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 10697 = 16*i. What are the prime factors of i?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + x + 2)*(-3 + 0 + 2) + x - x - 2*x + x - 2*x + 3*x + 2)*(-2*x + 0*x + x) + 5*x**2 + 5*x**2 - 3*x**2.\nAnswer: 8*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, t: 3, h: 2}. What is prob of sequence tt?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 - 43. Let v = 20 + b. Calculate the remainder when v is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/6)*j)\/j*j*j**(-7))\/(j**4*(j\/j**6*j*j)\/j) assuming j is positive.\nAnswer: j**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 5*j**4\/3 - 13*j**3\/3 + j**2 + 26*j. Find the first derivative of x(f) wrt f.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 1\/60*l**5 + 0 - 2*l**2 - 1\/105*l**7 + 0*l**6 + 0*l + 0*l**3 + 0*l**4. What is the third derivative of j(t) wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.88115 millennia in years?\nAnswer: 25881.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123311221 (base 4) in base 14?\nAnswer: 2d7a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*v + 3576 = 154*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxcxcxxxxxcxxxxcxx. Give prob of picking 3 c.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from mmmdydmmpymdf?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -8353\/2272 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-3 - -3) - 0. Suppose 3*r + 264 = 4*n, w*n + 5*r - 146 = 3*r. Suppose 0 = 5*l - 36 - n. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/121, -209, -9, 1\/3.\nAnswer: -209, -9, -2\/121, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19459, -19458, -19457, -19456, -19455, -19454?\n\"Answer: z - 19460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 less than 159906254?\nAnswer: 159906179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 23210\/45 - (-4)\/18. Let h be 9\/(135\/i) + 8\/(-20). What is the highest common factor of h and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -199.7311776 to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19178?\nAnswer: 2, 43, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*(-6)\/136)\/(29\/(-928)). Which is the second biggest value? (a) 4 (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3591723 is divided by 782.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 - 81*n - 105. Let i(p) = -41*p - 53. Let h(w) = 2*g(w) - 5*i(w). Let y be h(12). Put 1, 4, -3, y in decreasing order.\nAnswer: 4, 1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(100)\/(sqrt(35)\/sqrt(7))*5)**2.\nAnswer: 60*sqrt(5) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1770\/45*-2)\/((-13)\/((-351)\/36)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**3\/4 + 39*g**2\/4 - 36*g + 35 = 0.\nAnswer: 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 5:04 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c - 6. Let k be (2 - 20\/16)\/(2\/(-8)). Let n(v) = -1 - 3 + 2 + 1. What is k*n(d) + s(d)?\nAnswer: 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 324315 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -684073*q - 439896 with respect to q.\nAnswer: -684073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/5 + 60\/(-150). Suppose 0 = -2*d - 5*f + 2, -3*d - 4*f = d - 4. Solve d = -a + z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c + 22. Let g(u) = 8*u - 21. Calculate 5*g(f) + 6*h(f).\nAnswer: -2*f + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -375*g. Let r(h) = 1249*h**2. Give r(u(l)).\nAnswer: 175640625*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 11*n**2 - 6*n + 21. Let p be l(8). Let c = 487\/3 - p. Let w be (-6)\/(-27) - 47\/9. What is the third smallest value in c, 5\/2, w?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 6:30 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2915849 by -6.\nAnswer: -2915849\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/30 and -11\/250?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 3*g + 9*g)*(56*g + 65*g - 26*g) + (-2*g + 4*g + g)*(-2*g - 4 + 4) in the form b*g**2 + q*g + l and give b.\nAnswer: 944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5653 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: In base 6, what is -1 + -300311?\nAnswer: -300312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2226.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1629.49 * 11\nAnswer: -17924.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 14 + 6 = 0. Let h(n) = n + 1. What are the prime factors of h(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33031 (base 4) to base 8.\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -t - 3 + 1 + 2 as o + m*t and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - c**2 - 1210*c**4 + 939*c - 1182*c**4 + 2394*c**4 as q*c + g*c**3 + i + o*c**2 + l*c**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 3*m**2 + m + 3. What is the units digit of k(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y - 45*y + 16*y + 20*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -2701662 and 3.\nAnswer: -2701659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*(0*a**3 + 2*a**3 - a**3) - 2*a**3 - 2*a**3 + 2*a**3 + 3*a**3 - 4*a**3 + 8*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + j + 3 = -m, -5*m = -5*j + 5. Suppose -m*o + 0 = -4. Let q(d) = -d**3 + d**2 + d - 2. Determine q(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63021649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480913*m - 3 + 240461*m + 3 - 17*m**2 + 240452*m.\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*y**4 - 51*y - 2*y**4 + 14*y wrt y?\nAnswer: -96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1219 or 10982\/9?\nAnswer: 1219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -52, -52, -66, -106, -184?\n\"Answer: -2*n**3 + 5*n**2 - n - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -8*j**2 - 276668*j - 138332 = 0.\nAnswer: -34583, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1368*d + 140308 = 872*d - 1932*d - 46648 for d.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1704 - 22434?\nAnswer: -20730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from iuibzbfuhub.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*i - 945*i + 31512 = 0 for i.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -33. Let k be (-33)\/v - (-2)\/(-4). Sort -4, -13, k.\nAnswer: -13, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 10739*q + 13. Let i(h) = -21473*h - 24. Give 6*i(j) + 11*r(j).\nAnswer: -10709*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53831?\nAnswer: 53831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 84.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*w + 1. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-15))\/((42\/15)\/7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from nunnsssunsunnn.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -4*q - t, -105*q - 127504 = -t - 63206 - 63568 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3146 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3))**(-24)\/(w**1)**(-5\/7) assuming w is positive.\nAnswer: w**(117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 5) in base 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.079412 and -1.\nAnswer: 0.079412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113 + -61. Suppose -2*x - v = -o - 54, -3*x = -3*v - 177. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14595\/140 + 1\/(-4). Suppose -30*l - 22*l = -d. What is the smallest common multiple of l and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*i = -213*i + 52503. Calculate the smallest common multiple of i and 1.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88456370665 - -15.81.\nAnswer: -88456370649.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.88*-0.2.\nAnswer: -0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.8 - -0.2. Let n = 11\/2 + -4. Put z, n, 2\/15 in descending order.\nAnswer: z, n, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.7268 rounded to one dp?\nAnswer: -24.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 1133867?\nAnswer: 1133862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(-1*sqrt(2)) - 4*(-1*sqrt(36) + sqrt(36) - sqrt(36)))\/(-4*sqrt(192)\/sqrt(4)).\nAnswer: -3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59728 and 1648.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 16*k**2 - 3*k + 17. Let y(m) = m**3 + 18*m**2 - 16*m + 39. Let x be y(-19). Is u(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33137 - -33137.00039386. What is d rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**6\/180 - 4*s**3 + 11*s - 3. Let n(b) be the second derivative of z(b). Let q(k) = 2*k - 7. Calculate n(q(d)).\nAnswer: -8*d**2 + 56*d - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 4. Is (f - 5)*(-27)\/(-3) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -123\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, 2, -63 in ascending order.\nAnswer: -100, -63, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m\/m**(2\/3))\/m*m))\/(m\/m**6))**(4\/3)\/((m**(2\/3)\/m)**(-27\/4))**(-1\/62) assuming m is positive.\nAnswer: m**(19921\/2232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22436099*j**2 - 2*j + 35000727 wrt j?\nAnswer: 44872198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0*v - u + 21, 4*u = 2*v + 12. Let d(y) = y**3 + 2*y**2 + 1. Let w be d(-2). Let s = w - v. Which is smaller: 4 or s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 3\/(-1)*-4. Let b = 17 - x. Let v be 8*(4 - (-36)\/(-8)). Sort v, 3, b in decreasing order.\nAnswer: b, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*z + 308 = 0, 5*j + 3*z - 1242 = 230. Suppose -j + 977 = 5*m. Suppose 4*i - 532 = -4*n, 3*n = -3*i + 4*i - m. What are the prime factors of i?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58104 divided by -72.\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148060 and 67496516.\nAnswer: 2692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**3 - 3357*j**2\/2 - 8383*j\/2 - 2514 = 0?\nAnswer: -1676, -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-1)\/l)*l*l\/l**14)\/(l**2)**(-49) assuming l is positive.\nAnswer: l**89","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2542*f - 13*f**2 - 2542*f + 0 + 0 - 2*f**2 + (f + 0*f + 0*f)*(f - 3*f + 3*f).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 50, 129, 262, 461, 738, 1105, 1574?\nAnswer: 2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 13*f - 2 - 4*f)*(-2*f**3 + 0*f**3 + 3*f**3) + 2*f**4 - f + f.\nAnswer: 9*f**4 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/5)*q**0\/q*(q*(q*q\/q**1)\/q)**(2\/69))\/(q**(2\/5)\/(q*(q**5\/q)\/q))**(-5\/13) assuming q is positive.\nAnswer: q**(-14153\/4485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 503856?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(sqrt(1573) - (1*sqrt(1573))**2) + -3 - (5 + -4*-2*sqrt(1573)*-5)**2) + -1.\nAnswer: -2508962 + 4345*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/9 + -1 + 22\/6. Suppose -528 = -d*n + n. Is n\/5 + (-2)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 + 85. Let z be -2 - ((3 - r) + -7). Which is smaller: z or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6)\/(3\/45). Suppose -3*k - i*a + 932 = 0, -6*k - a = -3*k - 916. Is 19 a factor of k\/12*(-9)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 170*a**2 - 8*a + 680.\nAnswer: 2*(a - 85)*(a - 2)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33946, 137209, 309312, 550255, 860038?\nAnswer: 1238661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*i + 37, 5*i + 17 = 2*o + 2*i. Suppose 30 = o*s - 2*s. What is the highest common factor of 12 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + z - 20, -k + z - 2 = 2. Let j be 18\/(-72) + (-17)\/k. Suppose -j*o = -135 - 125. Is o a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n - 4*n - 194 + 464 - 270.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 549 - 190. List the prime factors of y.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w = 3*d + 14, -4*d = -2*w + 2. Suppose d*u + u - 2*s = 51, -2*u - 2*s = -24. Solve -q = -4*q - 3*r - u, 5*q + 25 = 5*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1681*z = -1678*z + 25, -z - 67 = -3*o. Suppose -123 = -3*r + 126. What is the remainder when r is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 2081 + 3995 = 2014 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1996.7 + 1996.4. Let d = 3 - 3.2. What is the biggest value in n, -1\/4, -3\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 551\/102 in -2, -1, 56?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -105 - 245?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otlo when four letters picked without replacement from {l: 2, x: 1, j: 3, o: 3, s: 2, t: 3}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259990572.\nAnswer: 2, 3, 181, 119701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 288471, 576939, 865403, 1153863, 1442319?\n\"Answer: -2*k**2 + 288474*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -577 + -1104?\nAnswer: -1681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -2*sqrt(117) + -2 + 2 + sqrt(117))*-2*2)**2.\nAnswer: -96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 645*p - 17 - 6*p**2 - 9 + 13 + 4*p**2 + 11.\nAnswer: -2*p**2 + 645*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 111117708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 161*q**2 + q + 1. Is 7 a factor of o(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by (-20)\/(-70) + (-20)\/(-77) - (-654)\/11?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/16))\/r**7*r\/(r\/r**13*r)*r*r\/((r**(-11)*r)\/r)*r assuming r is positive.\nAnswer: r**(321\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 41 - 1. Calculate the greatest common factor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, 23, 175, 471, 959, 1687, 2703?\nAnswer: 4055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12013100 + -1?\nAnswer: 12013033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 463*n**3 + 753*n**3 - 282*n**3 - 283 - 1369 + 709*n**3 wrt n.\nAnswer: 4929*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 307, -122, 0.2, 5 in descending order.\nAnswer: 307, 5, 2\/9, 0.2, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 856564*l**5*y**2 + 2*l**5 + l**2*y**2 - l**2 - 4*l*y**2 - 4353 wrt l?\nAnswer: 51393840*l**2*y**2 + 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434*x + 312*x - 8128 = 238*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -490?\nAnswer: 12\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x - 768 = 8*x. Is 2*3\/x*-2092 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, b: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -97*v - 498. Let x be b(-13). What is the greatest common factor of x and 3161?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 19\/7 of a week?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 5 - -1) + (-14)\/28. What is the smallest value in 1\/6, v, 3, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/((-73392)\/1946))\/(((-2)\/(-2))\/(-4)).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 240*g**5 - 19312*g**2 - 12831341*g + 3.\nAnswer: 4800*g**3 - 38624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2058 and 13544727?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 3*y + 2*y)*(1245 + 1528 + 2998 + 276 - 170 + 543).\nAnswer: 19260*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 237, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 975*f**2 - 4*f - 35. Let g be d(-15). What is g rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197650 rounded to the nearest 1000?\nAnswer: -198000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 10:10 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.147 - 105.853. Let l = o - -106.4. Let m = 0.8 - 1.8. Which is the nearest to m? (a) -5 (b) l (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -11*g + 316. What is c(59)?\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4013 - -4262. Solve 246*t - h*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120 + 56?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 - 24*m - 5. Let f be v(-10). Calculate the greatest common factor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5311 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 + 4 - 22 - 30*k)*(-2 + 1 + 4) in the form w + v*k and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 368 - 1025. What is the remainder when v is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.534 * 0.2\nAnswer: -1.9068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 32719936?\nAnswer: 32719936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66516521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.00489nm?\nAnswer: 0.00000000489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 10*y + 19155943 - 19155943.\nAnswer: -y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-750)\/(-84) - 9 - (-45)\/(-81)*(-1908)\/(-56).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)*(1 - 1). Suppose 4*i - 4*x - 8 = 0, -5*i + 4*i + 2 = 2*x. Solve r = -2*p - 4*u - 6 + 32, 16 = 2*p + i*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 52. Let b be 1 - a\/(-9)*3. Let j = -2 + 13. Is b != j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -643.1865 - 0.2535. What is l rounded to the nearest 10?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, l: 2}. Give prob of sequence lj.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 154635 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -85*b**3 + 4376240*b**2 - 5148415*b + 772260 = 0. What is b?\nAnswer: 3\/17, 1, 51484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42983306 is divided by 1307.\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16.56 * 0.3\nAnswer: 4.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.65685 rounded to zero decimal places?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 833910 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: -2 (base 16) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0640753 rounded to three dps?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 22. List the prime factors of l(9).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 14) to base 9\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -759556 times -5\nAnswer: 3797780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3393.046 centuries to millennia.\nAnswer: 339.3046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*w**5 + 5*w**5 - 18*w**5 + 2*w**5 - w**5 - 3*w**5 + (w + 0*w + 0*w)*(2*w**4 + w**4 - 5*w**4) - w**2 + w**2 - 2*w**5)*(0 - 5 + 20).\nAnswer: -555*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*v**3 + 6*v**3 + 6*v**3 - 17*v + 12*v**3.\nAnswer: 5*v**3 - 17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100314 (base 6) to base 13.\nAnswer: -3793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 - 3 - 3 + 4 + 2*v**2 to the form z*v + f*v**3 + l*v**2 + m and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2885*k**2 - 1755 + 1560 + 2884*k**2.\nAnswer: -k**2 - 195","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72.8 + 73. Which is the biggest value? (a) -2\/5 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4919 - 4919 - 72*j)*(20*j + 248 - 248) + (-2*j + 6*j - 2*j)*(2*j + 0 + 0) + 1 - 1 - 4*j**2.\nAnswer: -1440*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f + 25 = 0. Suppose 52 = j + f*a, 0*j = j - a - 22. Calculate the highest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.3. Suppose -d + 0*d + 30 = -5*i, 5*i = -25. Which is the closest to 0.2? (a) w (b) d (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, b: 4, z: 1, a: 2}. What is prob of picking 1 a, 1 z, and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 - -4.05. Let t = 0.01 - 4.51. Let o = k + t. Which is the second smallest value? (a) 0.4 (b) -1\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128*g**2\/13 + 12512*g\/13 - 305762\/13.\nAnswer: -2*(8*g - 391)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-15)\/(-3)*1. Suppose 0 = 4*t - 5*a - 30, 2*a - 23 = -m*t + a. Solve -t*n = -n - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 62863\/111 + (-1 - -2). Let p = -577 + s. Calculate the common denominator of p and -47\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-one quarters of a tonne?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 42 = 4*u, -41 = -4*x + 2*u + 49. What is the least common multiple of 1 and x\/4 - 10\/(-40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4152745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + -1 + 23\/(207\/189). Solve 27*p = c*p - 32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*h = 399, 3*a - 20*h = -16*h + 1197. Solve 0 = -63*w + 6*w - a for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -0.67.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3, -10\/7, 1, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/176 and 167\/240.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499*g + 3*n = 487*g - 39, 2*g - 4*n = -38 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c**3 + 15*c**3 + 24*c**3 + 5*c**3 + 15*c**3.\nAnswer: 45*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2091 - -309469\/148. Let c = a - -413\/4588. Is -1 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -917*f - 80 = -937*f. Factor 2\/3*n**2 + 4\/3*n - 4\/3*n**3 - 2\/3*n**f + 0.\nAnswer: -2*n*(n - 1)*(n + 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 2*a - 144.\nAnswer: 2*(a - 8)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 4*s. Let u be k(-4). Suppose -f + 3*f + 6 = 0, u = 4*r - f - 11. Suppose -19 = -r*z + 113. Round z to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2219 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173765 divided by 5.\nAnswer: -34753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-4)\/(-6)*-5. Find the second derivative of 107*y**3 - 9 - 19*y**3 - 3*y + 2*y**2 - 6*y + a*y wrt y.\nAnswer: 528*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -5 + -4 + 40?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*j + 104 - 6*j - 110.\nAnswer: -47*j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4 + 16 = 0. Let n be (5\/b)\/(1\/(-4)). What are the prime factors of 23\/n - (-2)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*y + z - 116, -y = -2*z - 52. Suppose 6*g + 18 - y = 0. Suppose 3*a**g - a**3 + 4*a**3 - 43*a**2 + 37*a**2 = 0. What is a?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -29*b**2 + 29*b + 8. Let l(h) = -19*h**2 + 20*h + 5. What is 8*l(q) - 5*y(q)?\nAnswer: -7*q**2 + 15*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from bwwawuwuwuawwammwba?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31761 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: Suppose 118*u + 128*u - 60124 = 55496. What is the greatest common divisor of 135 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -135*k**4 + 3*k + 22?\nAnswer: -1620*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 2)*(2*v**2 - 2*v**2 + v**2) + 44851*v + 2*v**2 + 5 - 89454*v + 44702*v.\nAnswer: 3*v**2 + 99*v + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10850 and 5642.\nAnswer: 141050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -11. Let g = x - -22. What is the highest common divisor of 52 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 19\/4*a**2 + 37\/8*a + 0 + 1\/8*a**3 = 0. Calculate a.\nAnswer: -37, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 524361 + -524360.88000045. Let q = 0.12 - i. Round q to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46798133 to the power of 1\/2, to the nearest integer?\nAnswer: 6841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1070877 - 8540549\/8. Suppose -28*g - 33770 = 58546. Let t = x + g. Find the common denominator of 45\/16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -34, -58, -100, -166, -262, -394, -568?\nAnswer: -790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2640*p + 10 = 2638*p + 5*k - 11, 0 = 8*p + 4*k - 29 + 185 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3139863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkk when three letters picked without replacement from ebeejehjejjkkek?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 44 + (4 - 35\/5). Suppose -2*x + 87 + d = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**4*i**3 - 2*c**4*i + 64*c**3*i**3 + 2*c**2*i**3 + c**2*i**2 - 73*c*i**3 wrt c?\nAnswer: -72*c*i**3 - 48*c*i + 384*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (98\/(-42))\/(7\/(-9)). Solve -3*g - 3 = t, -v + 3*g + 5 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cl when two letters picked without replacement from {c: 1, q: 1, l: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/380 and 17\/2442260.\nAnswer: 2442260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 2*x + 44. Let s be m(-6). Sort -5, s, 3, 5.\nAnswer: -5, s, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3\/9 + 620*u**2\/9 - 29483*u\/9 - 30104\/9 = 0 for u.\nAnswer: -1, 53, 568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - y + 2*y)*(-141 - 720 + 472) + 1 + y - 1 + (1 + 0 + 0)*(-5*y + 4*y + 3*y).\nAnswer: 781*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*2\/(-1984)*16.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, p: 6, g: 4}. Give prob of sequence pg.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*h**2 + 4*h - 79*h**2 - 8*h + 4*h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/(-9) - 1*-3. Suppose -4*t + 23 = w*f - 7*f, 25 = -f + 5*t. Let i = 3 + -3. Sort i, -1, f.\nAnswer: f, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 784745.5008 to the nearest 100.\nAnswer: 784700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -209f1 - 4?\nAnswer: -209f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, 2\/13, 0.6, -4\/3 in descending order.\nAnswer: 0.6, 0.24, 2\/13, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/8, 11, 4\/25, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -60 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*v**2 - 24*v**2 + 57*v**2 + 1690861*v - 845433*v - 845432*v.\nAnswer: 15*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -221121\/19 or -11637?\nAnswer: -221121\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 73*t + 24. Let c be l(7). Suppose -13*i - c = -18*i. Does 33 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (447178575\/(-150))\/(94\/7). Let d = s - -222003. What is the common denominator of -5\/4 and d?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136495020 divided by -22749170.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5243, -5358, -5665, -6260, -7239, -8698, -10733, -13440?\n\"Answer: -16*q**3 - 3*q - 5224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.548348002 to 2 dps.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c**2 + 32*c + 10. Let l(h) = -20*h**2 + 98*h + 32. Let m(n) = -5*l(n) + 14*z(n). Is 10 a factor of m(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 98*r - 202. Give d(-100).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.116387 rounded to three decimal places?\nAnswer: -0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*z - 80*z - 79*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-9)\/(-45) + 0). Let r = 5 - 0. Let n = 2 - r. Sort d, 0, n in ascending order.\nAnswer: d, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28986386 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -6. Let o = 3\/2 - s. Is o greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/7 - 1779359504*o\/7 - 395765030559390752\/7 = 0. What is o?\nAnswer: -444839876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4419 is divided by (-17 + 15)\/((-2)\/65)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 t when three letters picked without replacement from {h: 3, t: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**2. Let q(t) be the third derivative of -5*t**5\/12 - 107*t**2. Calculate q(m(j)).\nAnswer: -625*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4341*a + 17579. Let m(i) = 2139*i + 8789. Let t(q) = 5*m(q) - 2*u(q). Find the first derivative of t(n) wrt n.\nAnswer: 2013","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 151 + -164. Sort 3, -4\/5, q.\nAnswer: q, -4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + t = 40, 4*t + t = -10. Let j = 86 + -60. Calculate the remainder when j is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/2 - 9*n**2 + 147*n\/2 - 99.\nAnswer: -3*(n - 3)*(n - 2)*(n + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzvzzvzzz. What is prob of picking 1 v and 1 z?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (21\/(-7))\/(-1 - 0). Solve k*z - 4 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*q - 3 = 0, 3*w + 5*q + 0*q + 5 = 0. Is -3\/14 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 0*a**2 - 1\/24*a**3 + 25\/8*a - 64. Suppose m(d) = 0. What is d?\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 119*q - 1689 + 8353 for q.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - v + 0*v + 0*v + v - 916*v**2)*(11*v - 72*v + 31*v).\nAnswer: 27480*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*u**2 - 63*u**2 + 73*u**2 + 4*u - 2 to the form f + g*u + w*u**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0.8 (c) -3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 6245250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -22*r - 33. What is j(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*h**2 + 361*h**2 - 142*h**2 - 97*h**2.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 7460 = -14359. What are the prime factors of p?\nAnswer: 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/9)*g*g**0)\/((g\/(g**(-2)*g))\/g*g**(2\/13)*g))**44 assuming g is positive.\nAnswer: g**(-4796\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -384 - -426. List the prime factors of (-339 - 0)*(-56)\/g.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 5 = -5*n. Suppose -a = -n*v + 7, -5*a - 5*v - 8 = -33. What is the tens digit of 76 + (a - 4) + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 11:20 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41969927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9316780, -18633558, -27950336, -37267114?\n\"Answer: -9316778*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16432 (base 7) to base 10\nAnswer: -4678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72.3 + 102.2. Let x = -30 + s. Which is the third smallest value? (a) -7 (b) x (c) 4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*u - 9, -k - 6*u + 8*u = -1. Suppose 5*s = -5, -i + s + 5 = -4. Calculate the remainder when i is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37203 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: Simplify ((h*h**0\/h)**12)**40 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 980 - 32?\nAnswer: 94a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 88461749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + l - 1. Let i(s) = s**2 + 2*s - 2. Let d be i(-3). Let r(g) = -3*g**2 + 3*g + 1. Let z(a) = d*r(a) + y(a). Solve z(x) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 6 = y, -4 = 2*y - 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 3:11 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qia when three letters picked without replacement from {q: 1, v: 1, a: 9, i: 2}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -144*i - 9 + 7*i**2 + 12 - 3 - 179*i as b + m*i + r*i**2 and give m.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b**2 - b - 1. Let i be u(-1). Let j = 229 - 148. Calculate the highest common divisor of j and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 2*q. Let s(d) = d**3 - 2*d - 1. Give -4*r(t) - 3*s(t).\nAnswer: t**3 - 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 3\/5, 0.19?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/10 + 162\/90. Suppose -3*n = 3*m - 214 + 28, 0 = -n + f. Calculate the remainder when 359 is divided by m.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 278 - 5533*i + 11062*i - 5531*i to x*i + m and give m.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1124296302 to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4293 - 56771.1307.\nAnswer: -52478.1307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**4*h + 23*d**3*h**3 - d**3*h**2 - d**2*h**3 + 46*d**2*h**2 wrt d.\nAnswer: 72*d*h + 138*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0 + (1 + 0 + 1)*(-2 + 1 + 3))*(1 + 3 - 5)*(7*a + 4*a - 4*a) + (14 + 2 - 7)*(1 - 1 + a) - 5 + a + 5.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 28.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.326765l to millilitres.\nAnswer: 1326.765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 4*a + 5*u, 9*a + 4*u - 168 = 6*a. Calculate the remainder when 66 is divided by a\/2 - (-84)\/12.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 108273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*z + 348, -4 = 71*z - 73*z. Are 179 and a equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*h**6 - 2*h**3 + 14*h**2.\nAnswer: 3600*h**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*t + b + 15 = 32*t, 0 = 2*t + 3*b + 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40049.\nAnswer: 29, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 6:23 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 7*p. Let l be j(7). Let c = 5.13 + -0.13. Sort 0.4, c, l in ascending order.\nAnswer: l, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.5, -15.8, -1\/156, 4, 1 in decreasing order.\nAnswer: 4, 3, 1, 0.5, -1\/156, -15.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33507, -134362, -302453, -537786, -840367, -1210202?\nAnswer: -1647297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 12*u + 4. Determine p(7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -14*d - 12. Let y(t) = t**3 - 4*t**2 - t - 4. Let s be y(4). Let i be k(s). Calculate the greatest common factor of i and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-4)*2\/(14\/(-7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/3)\/((-36)\/162))\/(4*(-3)\/(-96)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -2*z - 20, z + 31 - 51 = -5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l - 2. Let b be g(2). Suppose q - b = -q. What is the first derivative of 3*i - q*i + 0*i - 5 wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 6*c - 6. Find the second derivative of -16*p**3 - 22*p**3 + 3*p**2 + 48*p + 8*p**3 - 4*p**c wrt p.\nAnswer: -180*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*l + 120 = 246*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-24))\/((-2)\/(-12)*3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/1*(-28)\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -393? (a) -5\/4 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-10) + 1)\/1. Let z be 3*(0 + 3 + -2). Put 1, z, u in descending order.\nAnswer: z, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75.4 - -12.4. Let m = 60 + n. What is the closest to 0.6 in m, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (10 - 3 - -6) + -32?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3\/5, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 25. Suppose 52 = 3*d - 32. What is the remainder when d is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -5*t - 273 + 243, -3*m - 2*t = -13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/36360 and 7\/160.\nAnswer: 145440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/2)\/m)**(1\/43)*m**3\/((m\/m**(-3))\/m) assuming m is positive.\nAnswer: m**(1\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(130))\/sqrt(10) + -5 + (((-1*sqrt(65) + sqrt(65))*3)\/sqrt(5))**2.\nAnswer: -2*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 1, d: 1, k: 4, s: 1}. Give prob of picking 1 k and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2113 + 2805. Calculate the remainder when u is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/5 + 37151*l\/5 - 15705450.\nAnswer: -(l - 34901)*(l - 2250)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 25*d**2 + 48*d - 50. Let t be s(23). Let j be 7\/98*t*35*-1. What is the highest common factor of 15 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1312 divided by -3?\nAnswer: 1312\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, d: 9}. Give prob of picking 4 z.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -187?\nAnswer: 1\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-48)*88*(-33)\/(-44).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 2*i**2 - 2*i + 3. Let y be w(2). Let g = 349.6 + -350. Let m = -11 + 7. Which is the nearest to m? (a) 1\/4 (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o + 17. What is p(-4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-75) - (-227)\/(-15). Which is bigger: p or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -cc0?\nAnswer: -cc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 4. Let t be (11\/i)\/((-4)\/72). What is the common denominator of -2 + -3*3\/t and 71\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 3*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2. Let t(f) = -f - 1. Suppose 2*r = -3 + 1. Let d(b) = 2*b + 3. Suppose 16 = 5*v + 31. Let n(s) = r*d(s) + v*t(s). Determine n(j(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tpypppttpppytytp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 11*n**2 + 20*n - 50. Let w(c) = 9*c**2 + 21*c - 49. Let p(s) = -5*w(s) + 4*x(s). What is the first derivative of p(y) wrt y?\nAnswer: -2*y - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7964 + -7962. Which is smaller: -17 or y?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14781 and 25.\nAnswer: 369525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 + 1.8. What is the nearest to g in 1\/2, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {d: 1, r: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(4\/33)*g*(g*g*g**(-5\/11)*g)\/g assuming g is positive.\nAnswer: g**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.104 plus -1014319?\nAnswer: -1014318.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*n = 99, -4*c = -n + 10 - 139. Calculate the highest common divisor of c and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.7 + -1.7. Which is the nearest to i? (a) 0.5 (b) 0.1 (c) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7211 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*l - 9 = 0, 0 = 4*r - 3*r + 4*l - 22. Which is the closest to 0.1? (a) -2 (b) r (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11969, 23494, 35011, 46520, 58021?\nAnswer: 69514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, -10, -17, -24?\n\"Answer: -7*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 67544*z. Let i(f) = 7*f**2. Determine n(i(l)).\nAnswer: 472808*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -300, -610, -886, -1122, -1312, -1450, -1530, -1546?\n\"Answer: q**3 + 11*q**2 - 350*q + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 714\/84*(-32)\/(-1768).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j**3 - 6*j**2 + 9*j + 9. Let l be h(-6). Suppose -4*p + 4679 - l = 0. Let b = p - 6875\/8. Calculate the common denominator of 73\/26 and b.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 645 - 337. Suppose 3*f - 64 = 4*r, -9*r + 6*r = 4*f - 127. Calculate the highest common factor of f and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 18 = -4*u, 5*u = -3*l + 3*u - 10. Let n be 2 - 2 - (l - 16). Calculate the least common multiple of 18 and (-16)\/(-12)*n\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -992 or -990?\nAnswer: -990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*l. Suppose l*p - 27 = -2*c + 3*p, 0 = c + 5*p + 6. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 2*h - 4. Let n be r(4). Let y = 88 + n. Let l = y - 64. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 76*v**3 + 954*v**2 - 4320*v + 5400.\nAnswer: 2*(v - 15)**2*(v - 6)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 7. Let j = 55892 - 55892.1. Which is the nearest to 2\/7? (a) -3 (b) j (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**12*u**(-2\/7)\/u*u**(-36)*u*u*u*u\/((u**(-2\/5)*u*u)\/u)*u)**37 assuming u is positive.\nAnswer: u**(-27047\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.48 - -6.47. Round u to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9401.59968 - 9400. Let a = c - 1.6. What is a rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 - 48. Let i(l) = l**2 + 7*l + 4. Determine i(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6103?\nAnswer: 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1570 - 1346. Calculate the lowest common multiple of 84 and u.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (5 - 3) + 2. Let y(j) = j**3 - 9*j**2 + j - 13. Let z(h) = -3*h**3 + 18*h**2 - 3*h + 26. Let k(u) = l*z(u) + 5*y(u). Give k(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*r, -9 = -2*l - l + r. Suppose -2*c - 5*f = -7*c + 60, -f - 22 = -l*c. Solve -c + 10 - 4*x**2 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 5*m + 8. Let v be l(-6). Is (-94)\/(-1)*v\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1969 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 91410 (base 13) to base 12\nAnswer: 106513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -15*g**4 + 248*g**3\/3 - 106*g**2 + 24*g - 546. What is j in h(j) = 0?\nAnswer: 2\/15, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -245322998*y**6 + 9361*y**2 + 2*y + 104 wrt y.\nAnswer: -29438759760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51220304*p - 18256425 wrt p.\nAnswer: -51220304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 36 - 16. Suppose 13*z = q*z + 18. Let p = z + -2. Solve -p*d + 5 = -9*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*((-186)\/24)\/31. Suppose 0 = -2*n + 17 + 15. Put 4, s, n in descending order.\nAnswer: n, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1368*h = 357*h + 25275 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 + 25 - 40)*(2 - 2*l - 2).\nAnswer: -82*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 30000032?\nAnswer: -30000103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 13) to base 14\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-1 + 0\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.43 - -1.68. Let q = 2.21 - t. What is the closest to q in -2, -0.2, 65?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-2 - 22 - 5)*(0 + 0 - 2*t).\nAnswer: 116*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -5)*(-122)\/(-6). What is the highest common divisor of 427 and i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41325 and 687300?\nAnswer: 2175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3311021 (base 5) to base 8\nAnswer: 157263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**5\/2 - 3708*y**4 - 2291544*y**3.\nAnswer: -3*y**3*(y + 1236)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 12*m**4 - 9*m + 11 + 60 - 75 - 2*m**3 to g*m**4 + c*m**3 + u + w*m + t*m**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170473779.\nAnswer: 3, 7, 2705933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1790 and 22?\nAnswer: 19690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 0)*-5)**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - -88. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/16 + ((-76)\/16 - -4). Let f(o) = 7*o - 15. What is the units digit of f(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4 + 461501*g - 473669*g - 12480*g**2 - 221*g**3 - 93*g**3.\nAnswer: -2*g*(g + 1)*(g + 78)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788 is divided by 264?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -766.2 rounded to the nearest 10?\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -188148750 rounded to the nearest 1000000?\nAnswer: -188000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4127*i**3 + 17539*i**2 - i wrt i.\nAnswer: 24762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -3 - 6 - (28 - (0 + 42))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2226143153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -56, -22, 24?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 442930 and 18?\nAnswer: 3986370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11 - -1) + 10 + (2 - -1). Solve 5*j - 13 = -2*l + 2, m*j - 9 = -5*l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((544\/(-15))\/(-8))\/(((-40)\/(-14))\/((-4525)\/(-2534)))?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 1034.\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02237 - -0.1?\nAnswer: 0.07763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.66 + 16.7. Put 0, -2\/13, f, 4, -20 in ascending order.\nAnswer: -20, -2\/13, 0, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2099 and -1983 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6693\/23*52\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 831*j + 240. Let v(g) = -5*g**2 + 1659*g - 480. Let z(k) = 7*q(k) + 4*v(k). Differentiate z(f) wrt f.\nAnswer: 2*f + 819","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 775, 5994, 20163, 47758, 93255, 161130, 255859?\nAnswer: 381918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 83630073 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8214461347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 11 - 26 = 0. Let x be 2\/b + 8\/5. Suppose 4*l + 3*o = -0*l + x, -3*o = -l + 8. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.10016434 rounded to 2 decimal places?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*u**3\/9 + 28*u**2\/3 - 16*u\/9 = 0.\nAnswer: 0, 4\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 - 91. Suppose r = 5*c + u - 27 - 22, -15 = -c + 5*u. Calculate the remainder when 79 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13994.\nAnswer: 2, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*a - 24 = 0. Let x = 0 - a. What is the smallest common multiple of 10 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmbb when four letters picked without replacement from bbmmb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/1116)\/5)\/((-681)\/2724)?\nAnswer: 2\/279","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkunikpkuinkii?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300 (base 7) to base 15.\nAnswer: 9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1970088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7243151*l**3 - 7243223*l**3 - 4*l**4 + 41*l**2 + 35*l**2 = 0 for l.\nAnswer: -19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -85\/4229678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -11 + 0)*-4. Suppose -4*d - 4*g + x = 0, 3*d + 2*g = 8 + 18. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40513, -43776, -47039, -50302?\nAnswer: -53565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 320*f - 6707. Determine r(18).\nAnswer: -947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**3\/3 + 5*q**2 + 8*q - 2. Let j be v(8). Let u = j - -29. Is u 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 13275 and 9202761.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 1:26 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 939.0197 decades in years?\nAnswer: 9390.197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*f - 10, 4*r + 2*f = -f + 13. Sort -4, -3, r.\nAnswer: -4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 29*g - 168 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.9 - 0.1. Let k = d + 4.0007. What is k rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.147 + -0.34. Let l = -0.1930013 - g. What is l rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 2:33 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -165, -5 in descending order.\nAnswer: 4, 2, -5, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**4\/3 + a**3\/3 - 3*a**2\/2 + 2*a. Suppose 3*w + 43 - 55 = 0. Is r(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - -2) + 0 + 1. Suppose 3*r - a + 6 = 0, -2*a = -4*r - 6*a + d. List the prime factors of (35\/10)\/(r\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 57078 - 77*h**2 - 213*h**2 - 57078 to t*h + l*h**2 + v and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*w + 27 + 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -477.43 - -13.93. What is g rounded to the nearest 10?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 458 - 323. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -108634 and -243.\nAnswer: -108877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*r + k, 0 = -10*r + 5*r + 2*k + 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/420 and -92\/975.\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/((-5)\/(-50)). Suppose -3 = -4*g + 5*f, y = 2*g - 0*g + f. Determine m, given that g*m - 4*m**3 - 4 + 5 + 9*m**2 - 8*m = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 10 - 2 = 0, r = -22*y - 28 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -87, -92, -101, -114, -131?\n\"Answer: -2*b**2 + b - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + g**2 - g - 1. Let t be s(-2). Let o = 289 + -1443\/5. Let b = 1.96 + 0.04. What is the nearest to b in t, o, 1\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/8 and -44\/2613.\nAnswer: 20904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and 234658.\nAnswer: -3519870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/5 - 4*k\/5 + 21\/5.\nAnswer: -(k - 3)*(k + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*p**3 - 145*a**2*z - 32*a*p**2*z + 4*a*p - 2*p**3*z wrt a?\nAnswer: 4*p**3 - 290*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5322 is divided by 5239?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14824, -29722, -44622, -59524?\nAnswer: -74428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 1520 = -11*w. Let n = w - 66. What is the greatest common factor of 98 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/75 and -6 + 52\/13 - (2 + (-1796)\/450).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55.000084 - -55. Round r to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 13*g**2 - 3*g. Let o(m) = 5368 - 5368 - 4*m**2. What is b(o(t))?\nAnswer: 208*t**4 + 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17\/4 in 2\/9, -0.4, -946.4, -5, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 - 4*w**2 - w + 2. Let b be h(-2). Let z = b - 4. Find m such that 0 + 0*m**2 + 1\/3*m**5 - 1\/3*m**4 + z*m**3 + 0*m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 442.5996 + -443. Let l = q + 0.4. Round l to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689426 is divided by 1811.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -158 + 288. Let u(b) = 1 - 3 - 2*b**2 + 3*b**2 + 7*b**2 + 2*b. Let g be u(-2). What is the greatest common divisor of n and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -263, -522, -781, -1040?\n\"Answer: -259*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 30. Let j be p(6). Let d be (-8)\/(-3) - (-8)\/j. What is the remainder when (-3315)\/(-26) - d\/(-2) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 - 4 - 75\/10. Let c = 27 - 55\/2. Let s be (-9)\/40 - 12\/(-20). Sort c, s, j in increasing order.\nAnswer: j, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 - 91*c - 2*c**4 + 0*c**4 + 93*c as p*c**2 + i*c**3 + t*c + s + n*c**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 111376665.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(-2\/21)\/(n**(-1\/2)*n**(6\/7)) assuming n is positive.\nAnswer: n**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16973.\nAnswer: 11, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1105*q + 4525*q - 1981*q + 559*q + 5621*q.\nAnswer: 9829*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3633 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -820, -819, -818, -817, -816, -815?\n\"Answer: r - 821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 44*d + 94 = -42*d, 4*d + 217 = 5*u. Solve -43*o = -u*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to -1065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5637062393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 3154 - 320 = 0. Calculate the common denominator of (19\/(-152))\/(3\/q) and 2\/5 + (-5103)\/420.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 0*m + 1\/2*m**3 + 13\/2*m**2 + 1\/40*m**6 + 3\/8*m**4 + 3\/20*m**5 - 25. Let j(y) be the second derivative of d(y). Factor j(l).\nAnswer: 3*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 22*y**2. Let r(p) = 8*p**2 - 85*p - 33. Let t be r(11). Let j(o) be the first derivative of t*o**2 + 2\/3*o**3 + 0*o - 9. Give c(j(u)).\nAnswer: 88*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 29 = 3*g. What is the remainder when g is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 5, e: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 241 = -5*m, 2*m = 3*k + k + 106. Let x = m - 29. What is the second derivative of 5*g**4 - 26*g + 9*g**4 + x*g wrt g?\nAnswer: 168*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6 = -4*j. Let s be -2 + 2 - 4 - -6. Is j != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66.4 - 353. Let i = l - -420. What is the second biggest value in 1, i, 5, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 9*y**3 + 18*y**2 + 3*y - 3. Let f(r) = -r**4 - r**3 + r**2 - r - 1. Let s(v) = -d(v) + 3*f(v). What is w in s(w) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 2:27 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.053 in -30551, -1\/9, -2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -15\/4. What is the nearest to 1\/4 in z, -0.3, -8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196998232?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1895388101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52599\/6788 - 2\/1697. Calculate the common denominator of a and 3\/(-12) + 35\/(-44).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 1. Suppose -1 - 11 = 2*y. Let c(j) be the first derivative of 7*j**3\/3 + j**2 + 8*j - 3. Give y*t(b) + c(b).\nAnswer: b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 549855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugio when four letters picked without replacement from {s: 1, o: 1, y: 4, i: 2, u: 3, g: 1}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 69241165 and 69241165 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-6) + -1)*((-567)\/(-42) - 15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1628684?\nAnswer: 2, 41, 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 + 69 = 3*u. Suppose u = -c - c. Solve -4*n - 5*g + 27 = c, 4*n + 2*g - 21 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/1844 and 87\/940.\nAnswer: 433340","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16476, -15674, -14338, -12468?\nAnswer: -10064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 8 = -11*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**0*y)**(6\/5)\/((y\/y**(2\/11))\/y*y*y\/y**(4\/7)*y) assuming y is positive.\nAnswer: y**(59\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 92*m**2 - m - 1. Let t be u(1). Let p be (-12)\/t*(2 + -5). Are 3\/7 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**3 + 2*l**2 - 3*l - 1. Let d be g(2). Let t = -30 - d. Which is the nearest to t? (a) -1\/9 (b) 6\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(931) + 4 + -1)*2 + -4)**2.\nAnswer: -112*sqrt(19) + 3740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 193 (b) 1\/9 (c) -37 (d) 4 (e) 2 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196 + 196 - 1338252*x.\nAnswer: -1338252*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18, 40, 64, 84, 94, 88, 60, 4?\n\"Answer: -l**3 + 7*l**2 + 8*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32442232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1944262?\nAnswer: 2, 972131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + u - 1. Let v(q) = 2*q**2 + 7*q - 4. Let d(w) = -2*w**2 - 6*w + 4. Let f = 4 - 2. Let n(c) = f*v(c) + 3*d(c). Give 4*b(j) + n(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*(14\/(-4))\/7\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 961 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 310, 507, 770, 1093, 1470, 1895?\nAnswer: 2362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -9. Let t = -4 - u. Let v = t + 0. Solve -8 = a + 5*y, 1 = -v*y - 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 315*g - 2*g**2 + 47 - 4*g**2 - 177 + 31*g**2.\nAnswer: 5*(g + 13)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 30276.\nAnswer: 333036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037605631 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 2\/7753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 8*o**2 + 9*o - 1. Let c = -32 + 23. Let x be t(c). What is the units digit of 3*x*(-5 - 13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1687 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 - 6 = 0. Suppose -2*x = -q*u - 6*x, 4*u = 5*x. Solve -5*j - 5 = 0, 5*r + u*j = 4*j + 19 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -276, -2179, -7352, -17427, -34036, -58811, -93384, -139387?\n\"Answer: -272*s**3 - 3*s**2 + 10*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 5\/6 (b) 2 (c) -4 (d) -1 (e) 6.154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5873865117 to the power of 1\/4, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 12:50 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.028628 - 0.471372. Suppose 3*j - 5*n = -17, 2*j + 2*n + 0*n - 10 = 0. What is the second biggest value in j, z, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 340168 + -339836.011. Let x = c - 332. Round x to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3122376591 to the nearest integer?\nAnswer: 55878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 + 102*f - 540. Let g be j(6). Let u(n) be the first derivative of g*n**2 + 15 + 1\/4*n**3 - 3*n. Factor u(b).\nAnswer: 3*(b - 2)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Let p(r) = -8*r + 2. Let c be p(-5). Let k be 7*1 - c\/14. Let i(t) = -2*t. What is k*f(n) + 5*i(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, 1, 1169 in decreasing order.\nAnswer: 1169, 1, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/5 + 69*p + 340.\nAnswer: (p + 5)*(p + 340)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h**3 - h**2 - 9*h - 5. Let z be d(-3). Calculate the greatest common factor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -497664292 by -248832146.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-6\/11)*a**(-6\/13) assuming a is positive.\nAnswer: a**(-144\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*j = 31 - 193, -2*w = -3*j + 127. Let s be (-640)\/(-6) - 2\/3. Let z = s + w. What is the remainder when z is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 598.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 4, 42635, 0 in ascending order.\nAnswer: -2\/3, 0, 4, 42635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26698841.\nAnswer: 13, 2053757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010000110100000 (base 2) to base 3.\nAnswer: 22202112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**2 - r + 2. Let n be t(2). Suppose 0 = y - n + 7. Let z = 13 + y. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.45 + -1.31. Let z = c - -5.46. What is the second biggest value in -0.1, -2\/7, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -3. Let k = -3 + j. Suppose -r + 2 = -k. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-35)\/14)\/(2\/(-32)). Suppose 3 = -p + i. Let k = p - 21. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 289 + -212. Calculate the greatest common factor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + -2*sqrt(38))*-6)\/sqrt(2).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -14, -26 in increasing order.\nAnswer: -26, -14, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5\/3, -21, -0.3, 1 in decreasing order.\nAnswer: 1, -0.3, -0.4, -5\/3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5019 divided by 3?\nAnswer: -1673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 146510070 to the nearest one hundred thousand.\nAnswer: 146500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -23?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*((-302)\/75 - 3\/((-33)\/44)). Which is the third biggest value? (a) 5 (b) l (c) 6.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.17188 take away 0.06?\nAnswer: -8.23188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3061308, -6122612, -9183916, -12245220, -15306524, -18367828?\nAnswer: -21429132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -148068, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = 128 - 404. Let l = -42 + n. Suppose 3*s - l = s. Solve -o + 7*i - 3*i + 14 = 0, 4 = s*o - 2*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + o**2 - 2*o. Let i(w) = -2*w**3 + 3*w**2 - 7*w. Let t be (0 - -4)*(-56)\/32. What is t*p(k) + 2*i(k)?\nAnswer: 3*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, 37, 164, 331, 532, 761, 1012?\nAnswer: 1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34677*z = 34400*z + 11080 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -3903, -3887, -3861, -3825, -3779?\nAnswer: -3723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -668*y - 43805 + 59837 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 5*v - 37. Let q = -14 - v. Suppose 3*z - q*a = -z + 452, -5*a - 560 = -5*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Suppose -13*k = -4*k - 18. What is the second derivative of 2*d**2 + 0*d**l - 9*d**2 + 6*d**k - 9*d wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g - 5. Let k(q) = 2*q + 1. Calculate 9*k(i) + 2*t(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228\/(-9))\/(-4)*(-17)\/(102\/(-36))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 + -66. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4366 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2253675.9 to the nearest 10000.\nAnswer: 2250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) 60\/84161 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 12, 4*s + q + 391 = -2*q. What are the prime factors of 578\/5*s\/(-40)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001212122 - -1000110?\nAnswer: 1002220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - 0. Let d be z*-13*(-1)\/(-3). Suppose 5*p = 4*q - d, q + 3 = -4*p - 1. Calculate the least common multiple of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*o**4 - 4*o + 8*o - 3*o wrt o.\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/140*1264\/(-1185)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/42 and -1\/27740?\nAnswer: 582540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -671, -585, -365, 55, 741, 1759?\n\"Answer: 11*j**3 + j**2 + 6*j - 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (44\/(-6) + 7)\/((-1)\/(-6)). Let r be (-4 - -5)*w*1\/11. What is the third biggest value in 4, 24, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 4*c**2 - 17*c**2 - 3*c**3 - 32*c - c = 0. Calculate c.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u. Let g(m) = 237*m**2 + 1269. What is g(h(i))?\nAnswer: 2133*i**2 + 1269","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o = -10*o - 2600. Suppose -17*z + 12*z - o = 0. Let r = 98 + z. Is 33 equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from {u: 5, d: 3, h: 1, j: 1, x: 3, k: 2}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = j + 10, 0 = -196*j + 192*j + 2*b - 62 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8531923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -6 - -15 - 3. Let i = 68 + 19. Suppose 0 = a*v + 31 - i. Calculate the smallest common multiple of 16 and v.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145956 times -241\nAnswer: 35175396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7710, -15398, -23094, -30798, -38510?\nAnswer: -46230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112875722?\nAnswer: 2, 56437861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.718918 rounded to 3 decimal places?\nAnswer: 2.719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1756 is divided by (15\/(-2))\/(63\/(-42)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d - 2. Let j be v(-2). Let n = j - 11. Solve -n*u = -5*z - 5, z = -3*z + u - 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 31*a + 64 = -33*a, -2*a = 8. Let t be (-9805)\/(-35) + 0 + 2\/n. Calculate the highest common divisor of 112 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68110 a multiple of 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {o: 4, j: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j - 288 - 26*j + 288.\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 212274 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 419 = 1659. What are the prime factors of z?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 1)*-2*3\/6. Solve r*x = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**6\/3 - 17*h**5\/5 - 2*h**2 + 2*h + 69. What is the second derivative of w(s) wrt s?\nAnswer: 40*s**3 - 204*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 22011120220201?\nAnswer: 22011120220112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1874 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -37804546 + 915?\nAnswer: -37803631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17689249 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-576)\/(-132))\/((-120)\/352)*(-1)\/2.\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s - 2*s**2 + 2*s + 5*s**2 - 3*s as a + i*s**2 + b*s and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*x - 4*h - 18 = -90*x, 0 = -3*h - 6. Factor -6\/5*q**4 + 0*q**3 + 6\/5*q**2 + 3\/5*q**x - 3\/5*q + 0.\nAnswer: 3*q*(q - 1)**3*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-30)\/(-35))\/(1\/7). Let t(q) = 6 + 4 - 3*q - c. Calculate t(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 358 - 1057\/3. Find the common denominator of f and -52\/17.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15957 + -15947. What is the nearest to -0.2 in s, -1\/21, 1\/3, 5?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/9 - -7)*77\/231\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*s - 1. Let o(i) = i**3 - 19*i**2 + 19*i - 12. Calculate the remainder when 13 + (-4 + 2)\/s is divided by o(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29.6 in 1198, -2, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*f + 5*f - 8*f)*(108 + 24*f - 108) to the form n*f + g + m*f**2 and give m.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -9\/8, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 5. Is j <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 738741368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2136 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**3 - 6*f**2 - 4*f - 7. Suppose 17 = -4*y - 11. Let t(g) = -2*g**3 + 4*g**2 + 3*g + 5. Determine y*t(m) - 5*v(m).\nAnswer: -m**3 + 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 3*i - 108 = 11*c, 6983*c - 4*i = 6984*c + 28 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, e: 2}. What is prob of sequence rree?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a kilogram in grams?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 12*l**2 - l - 10. Suppose m - 28 = 2*m. Let h = m + 31. What is the remainder when j(h) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1118 divide 61392734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 146, 338, 532, 728, 926?\n\"Answer: d**2 + 189*d - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -7, -1 in decreasing order.\nAnswer: 4, 3, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -17*c**3 + 177*c**2. Let u(i) = -4*i**3 + 44*i**2. What is 6*b(k) - 26*u(k)?\nAnswer: 2*k**3 - 82*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 1277?\nAnswer: -1276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3113487, -3113491, -3113495, -3113499?\nAnswer: -3113503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*d + 432\/7 + 75\/7*d**2 - 3\/7*d**3.\nAnswer: -3*(d - 12)**2*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 125.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**4\/3 - 2662*m**3\/3 - 107539*m**2 + 2230773664*m\/3 - 2230448384\/3 = 0.\nAnswer: -1712, 1, 761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-175828)\/(-339) - ((-4)\/3 - -1)?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-6)\/9)*252\/108.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/34 - -113\/510. Let l = y - -1\/5. Sort -1\/2, -5, l in decreasing order.\nAnswer: l, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 13. Let b(q) = -q**2 + q - 15. Let y be b(0). Let d be l(y). Solve -3*f - 5 = -d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**9\/7560 + o**7\/2520 - o**4\/4 + 2*o. Let t(c) be the third derivative of f(c). Find the third derivative of t(m) wrt m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-3)\/((-9)\/(-6)). Let o(a) = -a**3 + 9*a**2 - 10*a - 14. Let p be o(7). Solve 0*y + y + f*l + p = 0, y + 17 = -5*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.88329us in milliseconds?\nAnswer: 0.00288329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5 - 4. Factor -4 + p - 4*k + 2*k**2 + 0*k + 3.\nAnswer: 2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -9*m**2 - 195*m + 174. Is i(-12) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 290\/(-15)*30\/(-8). Let z = -74 + v. Which is the smallest value? (a) -4 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8908057*d + 7764904.\nAnswer: -8908057","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 9 - 24, -3*m + 3*w = -72. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*m**2 + 12 + 20 - 32 to a*m + w + u*m**2 and give u.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 - 17*v + 6*v**2 + 14*v + (-4*v + 9*v + 2*v)*(-v + v + v).\nAnswer: 16*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52148733 by -1.\nAnswer: -52148733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1845, -1585, -1157, -561, 203, 1135, 2235?\nAnswer: 3503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atqqthqttt. Give prob of picking 1 q, 1 t, and 1 h.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*d**2 - 543*d**2 + 121*d**2 + 123*d**2 + 110*d**2.\nAnswer: -23*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 371977 and 41.\nAnswer: 15251057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 3\/5, -76, 2\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2. Let i(q) = q**3 + 3*q - 2. Let a(b) = -i(b) + 3*u(b). Let j(d) = d - 3. Let f be j(5). Let l be a(f). Is l smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 22210.63km?\nAnswer: 22210630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**2 - 5*j**3 + j + j + 9*j**3 in the form s*j + c + t*j**3 + m*j**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 4*o + 2*o)*(-4*o + 3*o - o) + 16*o**2 + 68*o - 68*o - 2*o**2 - 3*o + 3*o + (-1 + 4 - 1)*(6*o**2 - o**2 - 3*o**2) - 3*o**2 - o + o.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**5\/4 - 2831*z**4\/2 - 118632*z**3 - 1347201*z**2\/2 - 3965247*z\/4 = 0. Calculate z.\nAnswer: -5577, -79, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175027 and 18373?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/11)*f**(2\/3)*f)\/(((f\/f**(2\/7))\/f*f)\/f)**43*(f*f**0*f*f)**(8\/11)*f*f**3*f*f**(-1\/2) assuming f is positive.\nAnswer: f**(9617\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -32202523 (base 7) to base 10\nAnswer: -2740489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*(-5 + (sqrt(114) - (1*4*sqrt(114) - sqrt(114)))\/sqrt(6)).\nAnswer: 125 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-3)\/9*12879\/82998.\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*q - 12 = -131*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (1 - 6\/(-3)). Suppose 0 = -2*k - m - 6 - g, -k - 4 = 2*m. Let w = k + 4. Solve -5*v - 21 + 6 = w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 7\/(-77) + (-10)\/11. Let k(h) = -h**3 - 3*h**2 + 3*h + 5. Give k(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1100 and 61\/330.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/7))**1)**(-6) assuming s is positive.\nAnswer: s**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + 4*sqrt(11) - 4*sqrt(396))**2.\nAnswer: 80*sqrt(11) + 4407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c. Let m(d) = d**3 - 9*d**2 - d + 12. Let z be m(9). Suppose -z*t = -3 - 0. Let v(o) = -4*o**2 + t - 3 + 2. What is q(v(k))?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - 5*h + 3*h)*(-2 + 6 - 2)*(23 - 2*h - 23) to the form i*h**2 + n*h + q and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 56. Let v = o + -10. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) 649272 (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away 9334660?\nAnswer: -9334649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -585, -86, -3\/4, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q + 7. What is y(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 32. Let i be j(-19). Let h(y) = 2*y**2 + 3. Let x(c) = 5*c**2 + 7. Let r(n) = i*x(n) - 14*h(n). Let s(w) = 7*w**2. Determine r(s(u)).\nAnswer: 98*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7. Suppose 3*s = -3*w - 24, g*s = w + w - 2. Let m(a) = a + 6. What is m(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -26*y**3 - 15*y**2 - 13*y - 42. What is the hundreds digit of l(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033300 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o + 27. What is the units digit of h(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -16, -14\/13, -4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -aa2a3 + 4?\nAnswer: -aa29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -9, -3, 4, 1 in decreasing order.\nAnswer: 4, 1, -3, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1d187 (base 15) to base 5\nAnswer: 11013402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1694)\/sqrt(7) - (1*(sqrt(2) + -1) + sqrt(2))**2.\nAnswer: -9 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/17)*(k\/k**(-5\/3))\/k)\/((k*k**(-7))\/(k*k**(-6)*k)) assuming k is positive.\nAnswer: k**(193\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1362048 and 31080?\nAnswer: 1763852160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33894.9969002 - -33895. Let j = 0.0032 - o. Round j to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11882*m**2 - 22758.\nAnswer: 23764*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 4. Let o be m(0). Does 4 divide -7*(o + -5) + 2 + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3760867826 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (765\/(-19380))\/((-1)\/(-4))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + (sqrt(500) - (-2 + 3 + sqrt(500))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12*-3 + (-9 - -15). Let g = 247 + o. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 2222 in ascending order.\nAnswer: -3, 3, 2222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 4 (c) -2\/5 (d) -2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33165 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -50. Suppose -3*n + 122 = j. Let x = 14 + -3. Calculate the remainder when n is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3114, 3064, 3014?\n\"Answer: -50*q + 3164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of ((-125438)\/8)\/19*48\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/6)\/((284\/6461)\/(2\/(-7)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 + 2. Give x(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 74. Suppose 9*y = 892 - 127. Calculate the greatest common factor of r and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -5 (b) 0.4 (c) -3.2 (d) -2 (e) 0.1 (f) 2\/23 (g) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 218749*s**3 - 5*s**2 - 167*s + 24?\nAnswer: 1312494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6547, -13079, -19595, -26089, -32555, -38987?\n\"Answer: q**3 + 2*q**2 - 6545*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, m: 2, i: 1, e: 3, o: 9}. What is prob of picking 1 i and 1 o?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 3*t + t**2)*(-12*t**2 + 19*t**2 + 3*t**2) to the form m*t + c*t**4 + k*t**3 + z + h*t**2 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6367, 12908, 19449?\nAnswer: 25990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*c + 11*c = -1168 + 1558 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from {d: 9, k: 3}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37741 + -37782. Let g = 84 - 424\/5. What is the closest to -0.1 in i, g, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148 divided by 74\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -17*n**3 + 10292376*n**2 + 11503263*n + 1210870 = 0. Calculate n.\nAnswer: -1, -2\/17, 605435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 3*j**2 - 5*j - 4. Let w(i) = -2*i**2 + 4*i - 3. Let d = 2 - 0. Let f be w(d). What is the tens digit of r(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000478 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9268 divide 2656866828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 4 = 3*b, 2 = 5*i - 4*b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*16.2.\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 30 = 2. Let u be -4*(-3)\/((-6)\/(-8)). What is the highest common divisor of u and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/90 - 6\/15. Let s = 6 - 5.99. Let r = 2.01 - s. Which is the smallest value? (a) r (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + w + 3. Let p be a(0). What is the third derivative of -l**2 + l**3 + l + 2*l**p - l wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129614 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -35, 37, -5 in ascending order.\nAnswer: -35, -5, -1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 5, 0, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + v - 6, 0 = -3*l - v + 8 + 2. Suppose -1 = -l*o + 3. Calculate the remainder when o is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 3*q - 4. Let n(u) = u**3 + u - 1. Give 4*f(i) - 9*n(i).\nAnswer: -5*i**3 + 3*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 420*w**3 + 2*w**2 + 9*w - 16. Let f be l(-8). Round f to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92 + 91.1. Let r = 0.961 + m. Let i = 0.161 - r. Which is the nearest to i? (a) -1 (b) 7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -29 (c) -3 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) - sqrt(66)*3)\/sqrt(6))**2 + 2 - sqrt(55)\/(sqrt(45)*5))*-3.\nAnswer: -138 + sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 454547808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 477*g**2 + 9401*g + 11354. Calculate y(496).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 32 = 2*l, -40 = -3*c + 2*l - 17. Suppose 2*g = -4*b - 406, 307 = -3*b + 2*g - 6*g. Calculate the least common multiple of b\/(-9) - 10\/45 and c.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2 + 3*x - x**2 + x + 1. Let w be q(4). Let o be -3 + 2 + 14\/12. Which is the closest to w? (a) -1\/4 (b) o (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 22 - 22*o**2 - 8 - 4 + 16 - 20*o. Let c be r(-21). Suppose -5*j + 3*h - 3 = 7, -4*h = -c*j - 15. Which is smaller: 5\/14 or j?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 7 = -4*j, 0*i - 3*i = -4*j + 27 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -835, -2916, -6381, -11230, -17463?\nAnswer: -25080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -45 (b) -4 (c) 0.5 (d) 2\/13 (e) 18\/41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 6*t = -1758. Suppose 21*s - 20 + t = 0. Let y(k) = k**3 + 12*k**2 - 13*k - 4. Give y(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 10*f - 5. Let d be z(-14). Let i = 1169 - 608. Calculate the highest common divisor of d and i.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**5 + 140*c**4 - 296*c**3 + 8*c**2 + 292*c - 148.\nAnswer: 4*(c - 1)**3*(c + 1)*(c + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -27478076.\nAnswer: 3\/13739038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 121333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 1, -3, 21, -10 in decreasing order.\nAnswer: 21, 4, 1, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 - 72*j**2 + 153*j - 78.\nAnswer: -3*(j - 1)**2*(j + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + -0.5. Let v = 10.2 - 10. Let s = v - 0. Which is smaller: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*r - 15. Suppose -2*h = -r + 2. Suppose 18*m = 19*m - 6. Which is smaller: h or m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6338602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 20. What is the lowest common multiple of a(4) and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + w + 237 = -2*y, 2*y + 2*w = 246. Suppose 928 + y = 8*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*w + 45. Let l(c) = 2*c + 2*c + 0*c. Let j(n) = 2*n. Calculate w*j(k) + 4*l(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1916 rounded to three dps?\nAnswer: 0.192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 165 - 161. Suppose -14*f + 2676 = -11*f - 3*q, -o*f + 3*q = -3570. What are the prime factors of f?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-73)\/(1022\/(-264180))*(1 - 0)?\nAnswer: 2, 3, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1883542?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (15 - (-19 + 49))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**5\/4 - 27*q**4\/4 - 21*q**3 + 96*q**2 + 360*q + 300 = 0. What is q?\nAnswer: -2, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, 1\/22, 3\/7, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**7\/14 - 7*f**3\/2 + 21*f. What is the second derivative of x(b) wrt b?\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2081\/9 + -231. Let d = -251 + 142. Let i = d - -109.2. Which is the nearest to 0? (a) -4 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/z**(7\/11))*z*z\/z**(13\/4))\/(z**19*z**22) assuming z is positive.\nAnswer: z**(-1787\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 take away 10.3399?\nAnswer: -10.1499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1355*u = -589*u + 27628 + 125948 for u.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2712.6 * -0.79\nAnswer: -2142.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -803 (base 10) in base 5?\nAnswer: -11203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -54*d**2 - 5*d + 25. Let f(c) = -17*c**2 - 2*c + 8. Let m(y) = -8*f(y) + 3*v(y). What is the second derivative of m(s) wrt s?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/1 - (1 + -3). Let p(v) = 11*v - 3*v + 4 - 9*v. Determine p(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1344)\/(-52) - (-4)\/26. Let g be (-6)\/(-30) + 294\/30 + -9. Put u, 5, g in ascending order.\nAnswer: g, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 4*p + 41, 2*p = -7242*c + 7243*c - 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-8*(176\/(-77))\/(-16))\/(388\/291)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 22 - 163*s**2)*(-56*s + 25*s - 3*s).\nAnswer: 5542*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97249*x - 194497*x + 97256*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 24281.\nAnswer: 5\/24281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 1:17 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3717, 3788, 4013, 4470, 5237?\n\"Answer: 13*y**3 - y**2 - 17*y + 3722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 9*b = -f - f + 4, 0 = b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**4\/4 + 7*t**3\/3 - 9*t**2\/2 + 17*t - 13. What are the prime factors of f(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1050 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -20211022012200?\nAnswer: -20211022012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**(-1\/4)))\/b*(b\/b**(-2\/7))\/b)\/(b**(1\/11)*b*b**(-2)) assuming b is positive.\nAnswer: b**(-171\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/3685191 and 107\/44222292?\nAnswer: 44222292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**2 + 3 - 3)*(-4*l + l + 5*l) - 2*l - 3*l**3 + 2*l to q*l**2 + w*l**3 + r*l + j and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -245*-1*3\/15. Suppose 132 = -16*x + h*x. Solve 4*q + 16 = 0, -x*f + 0*f = -3*q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20220123003 (base 4) to base 15.\nAnswer: -2ea683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*u = -9*x + 132, x = u + 21. Suppose j = 2, -5*l + x = -4*j - 18. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -184847226*o**4 - 2*o**3 + 319481091*o + 1?\nAnswer: -2218166712*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 626, 624, 622?\n\"Answer: -2*j + 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 21*a**2 - 26*a - 15. Is i(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**1)**(-2\/55)\/(q\/q**12*q**(-2\/9)*q*q*q))**(1\/4))**5 assuming q is positive.\nAnswer: q**(1013\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*a**5*i - 35*a**3*i - 590*a**2*i - i wrt a?\nAnswer: 2520*a**2*i - 210*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 577653176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6}. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 + 2*m**3 + 12*m**2 + 11*m + 20 + 2*m**4 - 13*m - 16 + 12*m**2 as t + q*m**3 + b*m + v*m**2 + r*m**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 874287.7 micrometers to centimeters.\nAnswer: 87.42877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1555886284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.39 + -0.81. Let k = 3.1 + t. What is the second smallest value in 2\/13, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -278, -1990, -6634, -15674, -30574, -52798, -83810, -125074?\n\"Answer: -244*d**3 - 2*d**2 + 2*d - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b + 20*b**2 - 3*b**2 + 4*b + 1 to m + w*b + s*b**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -34848 divided by 8712\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**0\/(j*j**(-1\/14)) assuming j is positive.\nAnswer: j**(-13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304, 280, 252, 226, 208, 204, 220?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -23.00007. What is c rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 20 + -10 + (14 - -1) + -8 - -96?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1769.9 + -1773.4876. Round a to two dps.\nAnswer: -3.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3598668 + 852770. Suppose 0 = -5*p - 4*k + 5564265, -p + 5*p - q = 2*k. Let r = p - 1572857. Round r to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 253444.38 hours?\nAnswer: 10560.1825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2555)\/(-42) - 3\/(6*-3) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81 + -12. Let y = o + -18. What is the remainder when y is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3819952947?\nAnswer: 3, 17123, 74363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -346 + 79. Let u = w - -548. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/49, 35, 0, 2, -8.4 in descending order.\nAnswer: 35, 2, 0, -6\/49, -8.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/150*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1136, -9076, -22310, -40838?\n\"Answer: -2647*x**2 + x + 1510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n + 50. Calculate l(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-51)\/(-5) + 3 + (-32)\/10. Suppose 0*a - z*a = -370. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*a - 6*a - 6, -5*a = 10. Solve r = 6*f - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-11 - (513\/(-684) - 1181\/116))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11447 is divided by 63?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.388l?\nAnswer: 9388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367220.\nAnswer: 2, 5, 7, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y - 302616. Let t(j) = 14*j. What is v(t(z))?\nAnswer: -42*z - 302616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 divide 1061530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 191. Let l(d) be the first derivative of -d**4\/4 - 5*d**3\/3 - 3. Let z be l(-5). Is q(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 60 = 4*c, -4*m - c + 119 + 121 = 0. Calculate the remainder when m is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104 + 206. Suppose p = 1, 0 = -4*v - 2*p - 156 - 70. Let f = v + l. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-60)\/(-16) + 2891\/(-980). What is z in 2\/5 + 2\/5*z**2 - g*z = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 25 = -5*h, -29 + 5 = -5*g + h. Let q be ((-2)\/g + 95\/50)*2. What is the second derivative of q*y - 18*y**4 + 21*y**4 + 16*y + 7*y**4 wrt y?\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7104\/(-1332))\/(14\/(-210)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515247036.\nAnswer: 2, 3, 42937253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 14) to base 5.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**4 + 5*n**4 + 4*n**4 + (-6*n**2 + 2*n**2 + 5*n**2)*(2 - 2 - n**2).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*r - 15741 = 335*r. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**3 - 11 + 0*m**2 + 0*m**2 + 5 with respect to m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3122189 divided by -4?\nAnswer: 3122189\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h + 47*h + 1335*h**2 + 109*h - 1334*h**2.\nAnswer: h**2 + 168*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((1 + sqrt(242))*-1 - 6*(sqrt(242) + 2) - (sqrt(242) + 5*(sqrt(242) + -3*sqrt(242)) - (sqrt(242) + -2 + 0))))**2.\nAnswer: -990*sqrt(2) + 2403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s - 6*s + 2*s - 45*s**2)*(-5*s + 4*s - 19 - 16) in the form j*s**3 + u*s**2 + y*s + v and give j.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16540*f - 16512*f - 672 = 0. Suppose -7*b + 2*b = -15. Let r(v) = 3*v**2 + 3. What is the smallest common multiple of f and r(b)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 3:58 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -799*m - 2948 = 1047 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-108))\/(7\/252).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzrzrrrzrrzrz. What is prob of sequence rz?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 1. Let y(i) = -4*i - 3. Suppose -5*p + 2*r = 17, 41 = -5*p - 5*r + r. Give p*q(g) - y(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -5, 8563 in descending order.\nAnswer: 8563, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/3, 2.2, 4655?\nAnswer: 4655","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2424, -5, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**3 - 1 + 1)*(2*w - 5*w + 5*w) - w**4 + w**4 + 3*w**4 + 2*w**4 - 3*w**4 - w**4 to the form n*w + s*w**4 + j + a*w**2 + z*w**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3021407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2905 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 3*w + 3*w)*(-11 - 2*w + 11) to the form d + s*w + o*w**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(768)*2).\nAnswer: sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -175569 greater than -175568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 96*g - 478. Give j(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.15 (b) 2\/763 (c) 4 (d) -59.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*10197\/1133?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 926406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -277 - -277. Solve 5*u = v, -l - 4 = -0*l - u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*((-2)\/(-2))\/(-1)*1. Suppose h*z - 2270 = -625. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4 - 34. Suppose 0 = -i + 2*y - 6*y - 11, -5*y - d = 0. What is the units digit of (i - 2)\/(5\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h**3 - 2*h**2 + h - 1. Is v(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -132*w + 1. Let v(c) = -c. Let y(s) = b(s) - 6*v(s). Is y(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/5352 and -43\/152.\nAnswer: 101688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z**1\/z)*z*z)**(-7\/3)\/(z**15*z\/(z\/z**9*z)) assuming z is positive.\nAnswer: z**(-97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 597127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a**2 - 12*a. Let z(f) = -7*f**2 + 11*f + 3. Let k(w) = 2*l(w) + 3*z(w). Let r(h) = -4*h**2 + 4*h + 4. What is 4*k(x) - 9*r(x)?\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + ((sqrt(1539) + (2*sqrt(1539) + sqrt(1539) - sqrt(1539)) + sqrt(1539))*-1)**2 + 1*(-1 + (sqrt(1539) - (-1 + sqrt(1539)))**2 + sqrt(1539)) + 1).\nAnswer: -123120 - 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n. Let v(b) = 4*b - 1. Let i(w) = -3*r(w) - 2*v(w). Suppose 0 = 5*a + 4*f + 8, 2 + 0 = -2*a - 2*f. Calculate i(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.9191*-0.109\nAnswer: 1.4081819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8146 - -14987. List the prime factors of k.\nAnswer: 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -398600 rounded to the nearest 10000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2628 - 2624. Suppose 245 - 25 = 5*v. What is the highest common factor of v and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348971996 is divided by 6842588.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 252 - -28. Suppose -10*x + w = -2*x. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 3\/8*p**2 + 0*p - 3\/40*p**5 - 33 + 15\/32*p**4 - 1\/48*p**6 - 17\/24*p**3. Suppose w(q) = 0. Calculate q.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -129, 2375, 4879, 7383, 9887, 12391?\n\"Answer: 2504*s - 2633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12012 + 2032203122?\nAnswer: 2032131110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 a, and 1 f when four letters picked without replacement from akykykkayaaaffy.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -109 and -1.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a - 311?\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -15*g - 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -4*m - 2 - 15, -4*d - m = 18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 970 and 30?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 146831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.412314 to two dps.\nAnswer: 1.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 1477447.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -85, -129, -175?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1531 and 226?\nAnswer: 346006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263, 175, -31, -409, -1013, -1897, -3115?\nAnswer: -4721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 2)*(-1 - c + 1) - 2*c + 0*c + 3*c + 3*c - c - 7*c + c - 2*c - 2*c)*(c + c - 4*c).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3\/(t*t**(1\/2))*t**(1\/5)\/(t**(-1\/4)\/t))**(2\/63) assuming t is positive.\nAnswer: t**(59\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.1, -14, -0.5, 5, 43.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62812537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-4)*4144\/18. Let y = 3149\/18 - j. What is the common denominator of y and -31\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 4. Solve -s + l*s + 2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -550*c**4 + 6*c**3 + 4*c**2 - 355187?\nAnswer: -2200*c**3 + 18*c**2 + 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145*15\/75 + -58.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 1236*y + 801452. Let q be a(-607). Factor -96*g**2 + 4\/5*g**3 - q + 3840*g.\nAnswer: 4*(g - 40)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**0)*i\/i**1)**(-2\/29)*(i**(-6)*i\/(i**3\/i*i))**9 assuming i is positive.\nAnswer: i**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19747 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1408520 rounded to the nearest ten thousand?\nAnswer: -1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = 4*k. Solve k = 3*d + 2*x - 3*x + 2, 2*d = -5*x - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47019? (a) -5 (b) -1\/5 (c) 1 (d) 5 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -20. Let f = -51 + y. Let k = f + -16. Which is the nearest to -1\/5? (a) k (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 + 10*w**2 - 5*w - 16. Let b be u(-5). Let v(m) = 2*m - 29*m**2 - b*m + 2*m + 4*m. Let f be v(1). Is f bigger than -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 15\/4 of a second?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-336)\/924 - (-1 + 157*(-30)\/(-7194)).\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**9)**(-20\/3) assuming z is positive.\nAnswer: z**(160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738454660.\nAnswer: 2, 5, 137, 181, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y + 17720417*y**3 - y**2 - 17721540*y**3 - y**2 as b*y**3 + u*y**2 + p + q*y and give b.\nAnswer: -1123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*j**3 - 4*j**2 - 82*j**3 + 4*j**2.\nAnswer: 206*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1412.8186 to the nearest 10.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f. Let m(c) = -26502*c**2 + 4. Calculate x(m(t)).\nAnswer: -26502*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q - q + 2*q)*(41 - 25 + 45)*(-6*q**3 + 2*q**3 + 3*q**3) to u*q**2 + i + t*q + b*q**3 + c*q**4 and give c.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -f - 2 + 6, -3*f + 12 = -3*s. Let w(t) = -t**2 - 104*t - 300. Let h be w(-3). Solve u + h*c = c, 0 = -u + 2*c + f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225669049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 277522, -1\/10 in decreasing order.\nAnswer: 277522, 10, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.0576+-0.1339\nAnswer: -0.0763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -120 + 120. Let a(v) = 10*v + 1. Let m be a(k). Sort -1, -2, m in descending order.\nAnswer: m, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.4, -0.07, -0.4, -2399679 in decreasing order.\nAnswer: 0.4, -0.07, -0.4, -5, -2399679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, x: 4, e: 3, g: 3}. Give prob of sequence px.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 424519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-44)\/(-6))\/((-2)\/(-3)). Let j = -5 + i. Solve 0 = 3*w + 3*b - j, 2*w - 4*b = -w - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*z, -m - 2*z = -0*m - 63. What are the prime factors of m?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, 74, 130, 170, 188?\n\"Answer: -p**3 + p**2 + 70*p - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 31?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) -5 (c) 683\/25657 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 5, -25 in decreasing order.\nAnswer: 5, 0, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 5, -2\/19, -0.4 in increasing order.\nAnswer: -0.4, -2\/19, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/187)\/(462\/(-3927))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k - 2280 = -2*w + 40*k, -5*w - 4*k = -5700. What are the prime factors of w?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**6\/3 + 8*t**5\/5 + 3*t**4 + 8*t**3\/3 + t**2 + 2. Solve k(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 80\/(-150)*30\/24. What is the nearest to c in -1, -5, 0.6, 13\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**2 + 6*x - 2. Let t(m) = -3*m**2 + 5*m - 1. What is 2*l(r) - 3*t(r)?\nAnswer: r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 5*c - 6. Let b be -3 + 7 - (-6 + 8 - 14). Suppose -3*g = -u - 22, 44*g = 43*g - 4*u + b. Give w(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 + 41*u + 10. Let v be d(-8). List the prime factors of v + 155\/(15\/3).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/37 smaller than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.71, -46, -0.01?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, e: 10}. Give prob of picking 1 z and 1 e.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 2. Suppose 0 = 3*b + 2*s - 7, 33 = 5*b - s - s. Suppose -5*r - 2*g + 3 - 30 = 0, -b*g + 48 = -4*r. Let y be i(r). Is 5 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let u = -99.5 + 95. Let g = 3.5 + u. Which is the nearest to 0.1? (a) g (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1858 is divided by 188?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 2852.\nAnswer: 6\/713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6615 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.1 + -0.1. Let y = 0.18 + -2.18. Which is the smallest value? (a) y (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7366214 is divided by 188.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8642.3 + -8642. Sort -3, 0, 16.2, c in descending order.\nAnswer: 16.2, c, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 471 = 3*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*r*z**3 + 2*r*z**2 + 314*r*z - r + 3*w*z**5 - 100*w*z**3 - 2*w - z**2 wrt z.\nAnswer: 90*r + 180*w*z**2 - 600*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven quarters of a microsecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(360)*4 - sqrt(360))\/sqrt(10))\/(((sqrt(96) + sqrt(96)*-2)*-2)\/sqrt(8)).\nAnswer: 19*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5233312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5949 - 35867\/6. Let v = m + 29. Does v = -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 36*d + 169. Let u = 23557 + -23551. What is f(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3422*y + 379*y**3 - y**2 - 840*y + y**2 + 623*y**3 wrt y.\nAnswer: 6012*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l + 3*l + 2*l + l**2. Let k(i) = -4*i**2 - 3. Let t(z) = 7*z**2 + 5. Let w(o) = 5*k(o) + 3*t(o). What is w(r(v))?\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/4))**29\/(o**(-2\/15))**(5\/3) assuming o is positive.\nAnswer: o**(1313\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.831872 millilitres?\nAnswer: 0.000831872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90264\/7 or -12896?\nAnswer: -12896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*r = 38*r - 525. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-232)\/(-12) - 1\/3 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n**2 + 48*n - 4. Determine p(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 24247542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1876 is divided by 922.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 - 4*d**2 + 3*d**3 - 2*d**3. Let j(f) = 8*f**3 - 5*f**2 + 5. Let z(b) = j(b) - 5*r(b). What is the first derivative of z(y) wrt y?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-1 + 2 - (-80 - -89)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 1. Let n be (4\/64 + 0)*-6. Suppose f + f - 6 = 0. What is the nearest to p in 0.2, n, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 = -7*m - 33*m - 21*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1095067143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, w: 1, u: 12, p: 1, f: 1, i: 1}. What is prob of picking 1 f and 2 u?\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 3, l: 5, b: 7}. Give prob of picking 2 l.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14\/13 - -57\/65. Let s = 47.64 - 0.64. Let d = -43 + s. What is the biggest value in u, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -27 + 4 + 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10 - (-1)\/18*186. Factor -1\/3 + g*m**2 - 1\/3*m**3 + 1\/3*m.\nAnswer: -(m - 1)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 86.61?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/9 + 1286107*a\/9 + 428702\/3.\nAnswer: (a + 1)*(a + 1286106)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/12485 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53121715.\nAnswer: 5, 10624343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 272 = -0*r. Let b be (r\/3)\/(24\/36). What is the greatest common factor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95386715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*y - 13, 25 = 3*k + k - 3*y. Suppose 6 = k*i - 2*i. Let w = 9855 + -9845. Solve -i*r = -r + w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -48, -37, -16, 21, 80, 167, 288?\n\"Answer: y**3 - y**2 + 7*y - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 8:52 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(24)\/sqrt(6)) + -3*sqrt(12)\/sqrt(6).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from rbbbofbfbbfbrbbbfbm.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3408*p + 6666 = 1894*p + 1817*p for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p - 14. Let y be r(-11). Does 14 divide (-2 + y)*(-1)\/((-10)\/35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - 4*v + 2. Let j(f) = 2*f - 1. Let m(p) = 2*j(p) + u(p). Let l(b) = 14*b. Calculate l(m(q)).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3\/95, 1.237 in decreasing order.\nAnswer: 5, 1.237, 3\/95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*q = -31, -9*q + 5*q = w + 4. Suppose 2*m - w = -2. Let i be (-2)\/((-50)\/16 + m). Solve -s + i = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 18*c - 24. Let a be b(10). Let v be (-24)\/(3\/a*4). Let h be (-1)\/3 - v\/(-9). Is h bigger than -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2640)\/84)\/(-11) + 12\/(-14) - (6 + -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 28*k**2 - 34*k + 403. Let z be j(18). Are z and -15114 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**6\/200 + w**5\/20 - 7*w**4\/40 + 3*w**3\/10 + 4*w**2. Let p(q) = 0. What is q?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 388283 and 6881.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 3*a - 4. Let q(i) = 3*i**2 + 5*i - 7. Let k(v) = -10*n(v) + 6*q(v). What is the first derivative of k(m) wrt m?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*n**3 - 256 + 256.\nAnswer: 220*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 391446529*r**2*s - 361*r*s - 5*r - s - 4087 wrt r?\nAnswer: 782893058*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -653*d**2 + 6*d - 38 wrt d.\nAnswer: -1306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 34 - 2. Let j = g + 37. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(2*g - 4*g + 0*g) + 9 - 9 + 4*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 7*y**2 - 6*y + 5. Let l be c(-6). Suppose -p - 5 = z + 2*p, z = -l*p - 13. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 210?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3105 = -2*d, -2*d - f + 1806 = -1279. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) 1\/18 (b) 0.5 (c) 3 (d) 117 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 275000 rounded to the nearest 10000?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/11694 and 27\/3898?\nAnswer: 11694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxs when four letters picked without replacement from sxxxssxssxxsssxs?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1190 and 57\/2210?\nAnswer: 15470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -46747998 rounded to the nearest 100000?\nAnswer: -46700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2ac - -5?\nAnswer: -2a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72795 is divided by 707?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 12*f**2 - 25*f**2.\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4512522016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 139 divided by 6\nAnswer: 139\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.4, -5, 0.8, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1792381?\nAnswer: 1792381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2934 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -11*m**7\/70 - 11*m**6\/120 - 129*m**5\/4 + 3404*m**2. Find the third derivative of p(g) wrt g.\nAnswer: -792*g - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h + 1 - 2*h**3 - 2*h**2 - h**2 + 0 + 0*h**2 + 3 as q*h**3 + d*h + k*h**2 + z and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 15*x**3 + 5*x**2 - 11*x. Let w(m) = -16*m**3 - 6*m**2 + 11*m. Let b(p) = -6*q(p) - 5*w(p). What is the second derivative of b(z) wrt z?\nAnswer: -60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 6:46 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300 + 300 + 7*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.34975764 to four decimal places.\nAnswer: -0.3498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y + 24 = 0. Let b = 185 + -197. Let c = 22 + b. What is 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 comes next: 20, 307, 1086, 2603, 5104, 8835?\nAnswer: 14042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**13\/(j\/(j*j**(4\/7))))\/(j**(3\/4)*j**(2\/19)) assuming j is positive.\nAnswer: j**(6765\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*b**2 - 420*b**2 - 12*b**2.\nAnswer: -401*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1825 + -1822. Suppose 0 = -3*t - q + 6*q + 15, 5*t - 3*q = 25. Solve -t = n*g + 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than 967132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204 by 113.\nAnswer: -204\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5752?\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 - y**2 - 9*y - 8. Let a be c(-2). Suppose -4363 = -a*p + 1291. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 j, and 2 y when four letters picked without replacement from {l: 7, y: 4, j: 4}.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/41, -10\/9.\nAnswer: -10\/9, -2\/41, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**4\/6 + 852*m. Let o(w) = -291*w**2. Give k(o(n)).\nAnswer: 169362*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + (42 - 73) - -228.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6013 (base 8) to base 5\nAnswer: -44313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**5\/4 + 17*o**4\/4 - 27*o**3\/4 - 45*o**2\/4 = 0?\nAnswer: -1, 0, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -150 - -171. Calculate the remainder when v is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4672747, -9345410, -14018073?\nAnswer: -18690736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - 3912\/(-140))\/(4 - (-30)\/(-7)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 1. Suppose 2*h + 2*h = -4*n, h - 20 = w*n. Suppose -h*m + 30 = 5*u - 5, 0 = 5*u + 5. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -234488, -234388, -234222, -233990, -233692, -233328, -232898?\n\"Answer: 33*b**2 + b - 234522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -739, -1535, -2777, -4615, -7199, -10679?\nAnswer: -15205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + h**2 - 1. Suppose 10 = 7*x - 6*x. Let i(m) = m - m - 5 + 5*m**2 + 4*m**3. Let r(b) = x*z(b) - 2*i(b). Factor r(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3749 + -3754. Let x(i) = i**2 + 13*i + 2. Let q be x(-13). Let k be (242\/12)\/11 - q. What is the closest to -0.2 in 5, k, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**3\/6 - 4*d. Let k(y) = -7*y**2. Give k(s(t)).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -186*z**2 - 932*z - 23. Calculate k(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1227*p**2*x**2 - p**2 + 21*p*x**5 - p*x + 1661*x wrt x.\nAnswer: -2454*p**2 + 420*p*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1088 + 1106 = 0. Calculate the remainder when (-4)\/(-8) + (-101)\/(-2) is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 20 = t - 14, 3*k = -3*t + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2973851 divided by -2\nAnswer: -2973851\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763 is divided by 125?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g**2 + 76*g**2 - 3*g**2. Let s(c) = -220*c + 6. Let z(x) = 183*x - 5. Let d(k) = 5*s(k) + 6*z(k). Calculate f(d(p)).\nAnswer: 260*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1931\/567 or 3?\nAnswer: 1931\/567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d**(4\/7)*d)\/d*d)\/((d\/(d\/d**(2\/11)))\/d))**19\/((d*d**(-1\/6)*d\/(d**(1\/2)*d))\/(d**7\/(d**(-1\/5)*d))) assuming d is positive.\nAnswer: d**(81161\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46.13 - 1.13. Let a = -4035189351.99999953 - -4035189307. Let d = a + q. Round d to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 13*i = 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 3*j - 1. Let v be i(-3). Let n = -28.3 - -28.7. Let r be (2\/(2\/1))\/(-4). Sort r, n, v in descending order.\nAnswer: n, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p - 3. Let m be s(-2). What is the least common multiple of (-18)\/(-27) - (-25)\/m and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**4\/4 - 8*w**3\/3 + w**2\/2 + 16. Calculate o(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303 - 318 = 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - j. Let p(g) = -40*g**2 + 35*g. Let w be (-846)\/12 - 5\/(-10). Calculate w*d(q) - 2*p(q).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -549*g**2 + 308*g - 836249.\nAnswer: -1098*g + 308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4427536?\nAnswer: 2, 276721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*2\/(-5)*320\/128 - -3170. What is the highest common factor of 90 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o - 20. Suppose o*a - 2*v - 18 = -7*v, -2*a - 3*v = -10. Solve -u - 6 = -a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from {k: 2, e: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2261 + -1.\nAnswer: -2262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -789*j - 6072*j - 12149*j.\nAnswer: -19010*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 + 4*n + 52. What is k(-12)?\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9912*p**3 + 2*p + 8659 wrt p?\nAnswer: 29736*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 - 8)*(-60)\/(-3). Let h = 47 + -27. Is h at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -7.7, -0.3?\nAnswer: -7.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2496, 4993, 7494, 9999, 12508, 15021, 17538?\nAnswer: 20059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = x + 208. Let d = x + 86. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b + 9*b - 4473 = 0. Calculate the smallest common multiple of 147 and (-72)\/108 + b\/(-9) + 1.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/696 and 125\/288.\nAnswer: 8352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -5 + -1 + 1 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110011112001 + -1?\nAnswer: 110011112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((20 - 2)\/(-6)). Suppose -f - 90 + 234 = w. Calculate the highest common factor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55517 is divided by 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1331)*1*-5 + 4*(sqrt(1331) + 1) + sqrt(1331)) + ((sqrt(176)\/sqrt(4) + sqrt(44))*-3)\/(sqrt(48)\/sqrt(3))*-1)**2.\nAnswer: 96*sqrt(11) + 355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 14*v = -20. Solve -2*s = 3*s + v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 706*r**3 + 5*r**2 - 5*r + 1. Let b(i) = -1059*i**3 - 7*i**2 + 7*i - 2. Calculate -5*b(f) - 7*q(f).\nAnswer: 353*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163392 = -658*k - 128518 for k.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.097 - 0.107. Let r be 2\/13 + (-53080)\/(-585). Let n = -91 + r. What is the smallest value in n, u, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6804 + 6846 = 14*o. Solve 41 = -o*t + 29 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1779171 to the power of 1\/2, to the nearest integer?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 0*(-2)\/(-4). Suppose -2*q = 3*r, 9*r + 3*q + 15 = 12*r. Suppose -l*j + 8 = r. Solve -4*z + 20 = 4*k, 0 = 5*k + 3*z - j*z - 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/108*(-156)\/52.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -3370812.\nAnswer: -5\/561802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, x: 1, m: 2, s: 4, h: 1}. What is prob of sequence nhm?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 7392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -386, -571, -756, -941?\nAnswer: -1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*p*t**2 - 7*p*t - 3*t + 3 wrt t?\nAnswer: 58*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*i + 31, 2*i = -0*i - 2*n + 10. Let g be 8\/6*i + -3. Suppose -2*d = 1 - g. Calculate the remainder when 7 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113233 is divided by 171?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 10*a**3 - 6*a + 275. Let o(h) = 28*h**3 - 17*h + 824. Determine 6*o(f) - 17*q(f).\nAnswer: -2*f**3 + 269","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143407, -284886, -426353, -567802, -709227, -850622, -991981, -1133298?\nAnswer: -1274567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020 (base 3) in base 13?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.35 greater than or equal to 78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22, 10, -36, -134, -302?\n\"Answer: -3*r**3 + r**2 + 6*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76989133.\nAnswer: 13, 455557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/6)\/(1\/10). Let p = -0.20742 + 0.28742. Which is the smallest value? (a) 5 (b) p (c) 0 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 - 1 + 111*h**3 + 36*h**3 + 18*h**3 + 7*h**3 + 70*h wrt h?\nAnswer: 1032*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 4. Suppose 3*o + 5*z + 3 - 1 = 0, -2*o - 2*z = -4. What is the remainder when 25\/o + (-8)\/48 is divided by q(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 17, -3 in ascending order.\nAnswer: -3, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -464124152 divided by 1567987?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 7:00 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 not equal to 3510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + -4 - -5 - 414\/54. Which is the second smallest value? (a) v (b) 41 (c) -1.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81) - (sqrt(81) - (sqrt(81) + sqrt(81) + 3*sqrt(81) + sqrt(81))))\/(sqrt(3) + (sqrt(3) - (sqrt(36)\/sqrt(6))\/sqrt(2))).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/20)\/((-363)\/275)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26519.45 millilitres in litres?\nAnswer: 26.51945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (695\/40 - 2)*53\/((-6201)\/(-52)) + -12?\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12825 at most -12824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*l = -l + 175, -w - 5*l + 35 = 0. Suppose 3*d + 2*s = 7*s + 72, 2*d + s = w. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x + 3*p + 64, -x = 4*p + 3. Suppose -3*f = -2*n + 30, 0 = -2*f - 2*n - 15 - 15. Is 3 a factor of x + (f\/(-3))\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53498 is divided by 1208.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -9 (b) -5 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-5))\/((-112)\/560)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (440\/4)\/((-980)\/(-1715)*(-14)\/4)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -197570 and -0.1131?\nAnswer: 197569.8869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 11*t**2 - 8*t + 20. Let a be b(-10). Factor -3\/8*m**2 + a - 1\/8*m**3 - 1\/4*m.\nAnswer: -m*(m + 1)*(m + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 9*o**2 - 7*o + 8. Let i be z(-8). Let q be 2 + -1 + -1 - 0. Suppose r - 4*r - 3 = q. Which is greater: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13654.03 millilitres to litres.\nAnswer: 13.65403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2075 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 8:47 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 17 + 5 = 9*j, j + 4*g = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1 - 4 + 36*v - 111*v.\nAnswer: -75*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 3920030*r + 768331760045.\nAnswer: 5*(r - 392003)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1453, 4191, 8565, 14575, 22221?\n\"Answer: 818*w**2 + 284*w + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1356 and 1017?\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24084.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2156.49 + 4\nAnswer: 2160.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 10*i**2 - 5*i - 8. Let n be w(-8). Find the common denominator of 6\/15*(-65)\/(-9) and -1*(1 + (n\/10)\/4).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*d**4 - 10*d - 2*d**3 - 3*d**3 + 3*d**3 - 12*d**4 + 28*d**4 + d**2 - 1 in the form h*d + m*d**3 + i*d**4 + w + g*d**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiqkqqkkqqqqbbqkbq. Give prob of sequence iqqq.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1316066 is divided by 2596.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*x - 22*x + 54*x - 17 + 2*x**2 as a*x + p*x**2 + n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by 22.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from xrryryrrx.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 492000 = 16*h - x, -h - 164000 = 4*x. Round h to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 2*b - 5*b)*(-4 + 2 + 0 - 5 + 1 + 3 + (2 + 1 - 1)*(-3 + 1 + 0) + 0 + 2 + 0) - 1 + 1 + 2*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -23586.34 times 1.3?\nAnswer: -30662.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -82825*x - 2319305. Calculate w(-28).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/13 - 738*a**3\/13 - 13742*a**2\/13 - 73278*a\/13 - 97524\/13 = 0 for a.\nAnswer: -9, -7, -2, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 38*y + 60.\nAnswer: -2*(y - 5)*(y + 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 8 = 0, -10 = -4*o - k + 2*k. Let n be ((-9)\/o)\/3*-2. What is j in 2*j**n - 3*j + 5*j**3 - 9*j + 6*j**2 - 24 - 4*j**3 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 e, and 1 a when three letters picked without replacement from kajekjut.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + -2 + 4 + -2 + -3)**2 + (-3 + sqrt(2299) + -1 + sqrt(2299) + 0 + -2)**2.\nAnswer: -288*sqrt(19) + 9545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (10 - 11) + 10 - (-11 + 21).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 46*g**2 + 55*g - 77. Calculate the remainder when d(45) is divided by 90.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00028212 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2519 + 46*g - 44*g)*(3 - 3 + 2*g).\nAnswer: 2*g**2 + 5038*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 2112.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, z: 6}. Give prob of picking 3 m.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1649581*r**2 + 1489533*r wrt r.\nAnswer: 3299162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2)\/(1\/(-2)). Let l be ((-4)\/5)\/(1848\/70 - 26). Suppose 0 = 5*r - 0*r + 4*b + 17, -2*r + 1 = -b. Sort d, 6, r, l.\nAnswer: d, l, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -33. Suppose -t*b - 5*h + 474 = -102, -612 = -2*b + 4*h. Suppose 94 = -4*j + b. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 0*j**2 + 0*j + 1 - 5\/3*j**3. Let m(f) = 8*f**2 - 10*f**2 + 4*f**2. Calculate m(c(h)).\nAnswer: 50*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8771 + 8768. Which is the biggest value? (a) r (b) 2\/1277 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*w - 40, 4*w - 22*f = 263 - 193 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4152\/11 < 378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (605\/(-30) + -7)\/20 and 67\/135.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + g = 20, -28 = 221*w - 218*w - 2*g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6753 divided by -6.\nAnswer: 2251\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(2\/17)\/k))\/(k*k**(-2\/3))*(k\/(k*k**7*k))\/(k\/((k*k\/((k\/(k*k**(-3\/10)*k*k))\/k)*k)\/k)))**50)**44 assuming k is positive.\nAnswer: k**(-308660\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o*o*o**20*o*(o\/(o*o**(-3\/5)))**(-13))**(-2\/9) assuming o is positive.\nAnswer: o**(-44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/65 and 12\/27*3 - 83625\/(-255060)*-4.\nAnswer: 7085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, z: 4, k: 7, u: 4}. What is prob of picking 2 z and 2 u?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2034, -4068, -6098, -8124, -10146, -12164?\n\"Answer: 2*t**2 - 2040*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23.3 in 0.0043, 3\/8, -1, -0.07?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5933\/2 - -2934. What is the common denominator of k and -117\/1036?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i - 2, 58686 = 4*h - 5*i. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11734*h**5 + h**4 - h**3 + 10*h - 78?\nAnswer: -234680*h**3 + 12*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g**2 + 1. Let t be y(1). Let z(x) = -50*x**2 + x. Let u(k) = -99*k**2 + 7*k + 2. Let m(j) = -u(j) + 2*z(j). Determine m(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -5, -0.13, -0.3, 4, 137?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85352064.\nAnswer: 2, 3, 7, 113, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-5)\/(-20)*(-2)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - -24. Calculate the remainder when h is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**6\/120 + d**5\/10 - 5*d**4\/24 + 2*d**3\/3 - 6*d**2 - 9. Determine p(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11942989 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + 2)*-1*-2)**2 + (sqrt(931) + sqrt(931)*-2 + -2)**2 + -1.\nAnswer: 140*sqrt(19) + 4674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*p - 798 = 3*c, -4*p + 12 = 0. Let j = -113 - c. Is j a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 3:37 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 327061202 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 705445 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -2. Let v be (-3)\/x*(-10)\/(-6). Let d(j) = -j**3 - 4*j**2 - j + 3. Does 13 divide d(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 6 - 3 = 5*h, 15 = 5*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14\/9 of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -35786 (base 9) to base 7\nAnswer: -126615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35 - 1019?\nAnswer: -ba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.021? (a) -3 (b) -5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m. Let i(z) = -z - 1. Let t(c) = i(c) - 5*x(c). What is t(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 6 - 3)*(-3*d**2 + 6*d**2 - 12*d**3 + 13*d**3).\nAnswer: -d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 7 = 5*z. Suppose -y = -5 - 7. List the prime factors of (z\/2)\/((-2)\/y).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4\/15 - 8*w**3\/3 - 148*w**2\/15 + 8*w\/3 + 10 = 0.\nAnswer: -15, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 - 4*z - 2. Suppose s + 198 - 174 = -5*p, -4*s - 36 = 5*p. Give q(s).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -929355, -929366, -929385, -929412, -929447, -929490?\nAnswer: -929541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11977748 is divided by 798511?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012 + -21?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -1005 (c) -16 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 1\/3*n**6 - 1 + 0*n**3 - 2\/5*n**5 + 0*n**2 + 0*n + 0*n**4. Factor j(w).\nAnswer: 2*w**4*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12936148.\nAnswer: 2, 61, 53017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (8 - 17 - (1 + -6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*-2*1\/6. Suppose -72 = p*l - 5*l. What is the greatest common factor of 60 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 9:59 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*s = -j - 6, 3*s = 0. Let l = 9 + j. Suppose 0 = l*x - 0*x - 3. Solve x = -2*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022 minus -30.37?\nAnswer: 30.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(6\/(-828))\/((-1)\/2). Suppose -6*z - 2 = -4*z. Are l and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85524 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccvpk. Give prob of picking 1 c and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.610386 + 3.810196. Let h = q - 3.2. Round h to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n + 61. Let w(b) = -5*b**2. Give w(i(p)).\nAnswer: -20*p**2 - 1220*p - 18605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3539.477t?\nAnswer: 3539477000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6009, -11341, -16671, -21999, -27325, -32649?\nAnswer: -37971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -165 + 408. Suppose -15*h + 16*h = q. What is the greatest common factor of 27 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003255 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/m**(-1))\/m)**(-48)*((m\/m**(2\/3))\/m)**(-3\/2) assuming m is positive.\nAnswer: m**(-95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/515? (a) -4 (b) 52 (c) -4\/7 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 393, 791, 1193, 1599, 2009?\n\"Answer: 2*o**2 + 392*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*d + y - 21988, 0 = -4*y - 12. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4101, 8206, 12311, 16416, 20521?\n\"Answer: 4105*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/203 or -1?\nAnswer: 1\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 92, 0.09?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19\/20 + (-6)\/(-24) + -1. Sort -17, -1, m in decreasing order.\nAnswer: m, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (31 + -34 + (1 - -22))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/11)*i\/i**(1\/19)*(i*i\/(i\/(i*i*i\/i**(-3)*i)))\/i*i\/i**(-3\/4) assuming i is positive.\nAnswer: i**(8031\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3586 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5124852583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013844 to 4 dps.\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 180 - 61. Suppose 3*x = 5*z - j, -3*z + 2*x = -112 + 40. What is the second derivative of -12*o**5 + z*o**5 - o**5 + 12*o wrt o?\nAnswer: 180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 14*w - 10. Suppose -3*p = -3*f + 18, -2*f + 3*p = 2*p - 10. Suppose 5 = v - 3*j - j, -4*v + 2 = 2*j. Solve f*b = m - v, -3*m + 11 = b - w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(2*(-6)\/12)*(220\/(-15))\/11.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - -753612?\nAnswer: 753627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 5*y - 2*y. Is y a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(((m*m\/(m**(-9)\/m)*m)\/m)\/m*m*m))\/m)\/(m\/m**(2\/9)))\/(m**(-11\/2)\/m**(4\/5)))**(-4\/5) assuming m is positive.\nAnswer: m**(1346\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.90651 millimeters?\nAnswer: 0.00000490651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1278 and 95\/356.\nAnswer: 227484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**2 + 2*o**2 + o**2)*(-2*o**3 - 2*o**2 + 2*o**2) + 7*o**2 + o**5 - 2*o**2 - 2*o**5 + (2*o - o - 3*o)*(14*o**3 - 14*o**3 + 9*o**4).\nAnswer: -15*o**5 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-524)\/(-6))\/(16\/1128). Suppose -2*n + 1069 + i = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -14*k**2 + 23*k - 23. Let w(j) = -9*j**2 + 15*j - 15. Determine 5*s(i) - 8*w(i).\nAnswer: 2*i**2 - 5*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c + 41 - 113 = 0. Let r(n) = 7*n**2 - 7*n + 1. Give r(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, l: 1, j: 5, h: 1, i: 1}. What is prob of sequence jyyh?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(45\/50) - 24\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7250 and 831850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-3 + sqrt(171))\/sqrt(9) - sqrt(171)\/(sqrt(45)\/sqrt(5)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 37500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 - 5444011?\nAnswer: -5444035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (0 + (-2 + -3 - -4)) - 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/1612473 and 65\/2.\nAnswer: 3224946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110547.\nAnswer: 3, 71, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h + 75334 = 35*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 800.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10301777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10169455 to the power of 1\/2, to the nearest integer?\nAnswer: 3189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16214 is divided by 115.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10436 + -10436. Solve -2*y = -13*k + 11*k + 12, d = 2*y + 4*k - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4004.479 - 3999. Let k = -38.079 + 38. Let u = k + v. What is u rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(36)*-3)*-4 + sqrt(80) + (-2 + sqrt(80))*6 + 5)**2.\nAnswer: -3584*sqrt(5)\/9 + 331649\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 5*g = -6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.63 - -173\nAnswer: 172.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27594 and 22201344.\nAnswer: 3942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2 + 153*z + 48. Does 12 divide q(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*w**4 + 1121*w**3*z**2 + 4*w*z**2 + 4264*w*z wrt w?\nAnswer: -96*w**2 + 6726*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54.2 - 148.2. Let i = k + 125. What is the third smallest value in 4, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -7 + 6)*2. Let n(h) = 2*h - 4. Let g be n(c). Solve -f - 4*t + 4 = -g, 3*t = 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -131 in increasing order.\nAnswer: -131, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6539641 >= 58856762\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122100 - -1211?\nAnswer: 201011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + i. Let y(a) = a**3 - 3*a**2 + 13*a + 9. Let w(h) = 6*k(h) + y(h). Let z be w(5). Solve o = -z*x + 11, 1 = 2*o - x + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -995 + 357. What is the biggest value in -5, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11073323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-64483)\/(-12)*36\/8 + 4\/(-32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 529 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4 + (-6*(sqrt(484) + (sqrt(484)*1 - sqrt(484))))\/sqrt(11))**2.\nAnswer: -216*sqrt(11) + 1665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 28 = -11*c. Suppose -2*l + 4*r + 108 = 0, -c*l + 129 + 99 = -5*r. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*o + 18. Let y = o - 6. Solve -y*z = 5*f + 6, 16 = -2*z + 3*f + f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - 1.6. Let x = 11.1 + -13. Let d = x - o. What is the closest to d in -0.4, 1\/4, 4\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -304, -736, -1528, -2860, -4912?\n\"Answer: -30*a**3 - 222*a - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -1125\nAnswer: 2250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2) + (41\/(-246) - (-406)\/(-147))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 20*x - 3 + 17*x**2 - 3 - 11*x**2 - 3. List the prime factors of k(4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 5*s - 5*m + 80, -12 = 4*s + 3*m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 4. Let r(s) = s**3 - 12*s**2 + 11*s + 3. Let l be r(11). Suppose l*b + 1 = q, -2*b + 6*b - 3*q = 7. Is d(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4546 + 4541. Put s, -33, -4 in descending order.\nAnswer: -4, s, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1282 - c + 3*c + 5909 - 7191.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -82 times -129.6\nAnswer: 10627.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((3*1*sqrt(44))\/((sqrt(84)\/sqrt(3))\/sqrt(7)) - (4*sqrt(11)*4 - (-2 + sqrt(891)))**2).\nAnswer: -546 - 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 15797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.8 + 1400.79.\nAnswer: 1405.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2484, -2\/15, 28.6?\nAnswer: 28.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) - 5817\/(-63). Suppose z = -v + 140, 2*v + 2*z - 140 = v. Let f be (138\/4)\/(21\/v). Calculate the greatest common divisor of m and f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - a + 14 = 0, 5*a - 10 = 2*g - 21. Suppose 0*s = -4*l + 2*s + 14, -23 = -4*l + 5*s. Solve -g*x - l*x = 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3429984.\nAnswer: 2, 3, 35729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 13 and 31.9125.\nAnswer: 44.9125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**5\/60 + z**4\/3 + 2*z**3\/3 + 4*z**2 + 4*z. Let g(p) = p**2 + 9*p + 4. Give 6*g(v) - 7*s(v).\nAnswer: -v**2 - 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-40)*3\/((-18)\/15)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174\/232*(-8)\/18.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 3*o - o**3)*(-6*o + 4*o - o) + 3*o**4 - 4*o**4 + 2*o**4.\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -5, -2\/15, -7, -37?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9156228 divided by 315732.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76508.\nAnswer: 2, 31, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 25 = 4*v + 4*f, -860 = -3*v - 88*f - 84*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -10. Let d be (3\/p)\/(105\/(-20)). Suppose 0 = 2*u + 3*f - 10, 2*u + 0*f - 2 = -f. What is the closest to u in d, 0.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 11*n**3 + 85*n**2 + 10*n + 5. Let t(s) = 27*s**3 + 213*s**2 + 24*s + 12. Determine 12*f(x) - 5*t(x).\nAnswer: -3*x**3 - 45*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/7 bigger than 276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 5\/2*f**2 - 23\/12*f**4 - 2 - f**3 + 23*f. What is the second derivative of h(j) wrt j?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10550 (base 7) to base 2.\nAnswer: -101001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**8\/30240 + j**7\/2520 - 73*j**5\/60 - 3*j**2 + 9*j. Let i(o) be the third derivative of r(o). Factor i(x).\nAnswer: -2*x*(x - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197783676?\nAnswer: 2, 3, 5493991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w*y**3 - 42*w*y**2 - 1268*w*y + 1201*y**3 + 44*y**2 + 4867*y + 2 wrt y?\nAnswer: 12*w*y - 84*w + 7206*y + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.23 + -0.03. Let p = 5 + -6.1. Let w = p - -1. Sort 0.02, n, w.\nAnswer: w, 0.02, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t + 469 - 387 + 9*t.\nAnswer: -2*t + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1402 (base 8) to base 3\nAnswer: -1001112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 1. Let b(n) = 4*n**3 - 7*n + 5. Let v(z) = 136*z + 8703. Let l be v(-64). Give l*b(p) + 5*a(p).\nAnswer: p**3 + 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slmlmsssslssls. What is prob of sequence ls?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 equal to 2616\/907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -375*(-22)\/(-660660) + ((-3)\/22)\/(-3).\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 + 29708260.\nAnswer: 29708281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*d + 16*d + 0*d - 11*d - 2*d + 1.\nAnswer: 31*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1043338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in 1.3, 1\/6, -24, 15?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1523843 to the power of 1\/2, to the nearest integer?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2336 and 3212.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 4*f + 38*f)*(0 - 3 + 1)*(-3 + 0 + 2)*(4*f + f + 2*f)*(-4*f + 2*f + 5*f).\nAnswer: 1848*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -34.03643.\nAnswer: -102.10929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5159983\/2 or 2579993?\nAnswer: 2579993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -3720.\nAnswer: -1\/1860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4 = 5*q. Let f be 2\/3*6\/(-10). What is the closest to f in q, -5, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51966.86 * 0.4.\nAnswer: -20786.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 570458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1638*v**3 - 567*v**3 - 546*v**3 - 545*v**3.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 5. Let u = -4 - -7. Suppose 0 = u*p - 44 + 8. What is the smallest common multiple of m and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -591 and -596 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7470)\/996*(-4)\/(-585).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-35715)\/(-78573)*33\/(1 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c + 32368074 = 88359274. What is c rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 476*m. Let g(l) = 2*l**2. Calculate j(g(r)).\nAnswer: 952*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(15\/(-9))\/(((-390)\/20)\/(-39))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**5 + 2756*w**4 - 83327*w**3 + 704438*w**2 - 1169924*w + 546056 = 0.\nAnswer: -2786, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1424 - 1424 - 392*h.\nAnswer: -392*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 48*i - 1641*i**2 + 90*i**3 + 72*i + 1876*i**2 - 5*i**4 + 20*i**3 = 0.\nAnswer: -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/44 - (-142365)\/10450. Let q = j - 1\/190. Which is greater: 13 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 5243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2. Let l(c) = 90134*c**2. Calculate x(l(y)).\nAnswer: 16248275912*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8648836550.\nAnswer: 2, 5, 59, 83, 35323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (-76602)\/(-1836) + -23?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d*m**2*y + 3*d*m*y**2 - 2*d*m*z + 71*m**2*y**2*z - m*y**2*z + 10*y**2 wrt z.\nAnswer: -2*d*m + 71*m**2*y**2 - m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91744785?\nAnswer: 3, 5, 11, 61781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10246737?\nAnswer: 3, 3415579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 7:21 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57864 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021 - -11200210?\nAnswer: 11121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*s**5\/2 + 123*s**4\/2 - 75*s**3 - 75*s**2 + 171*s\/2 + 27\/2 = 0. What is s?\nAnswer: -1, -1\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 2*h**2 - 8*h + 1. Let l be z(4). Let v(k) = -30*k**3 + 2*k**2 - 2*k + 1. Determine v(l).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 20*o + 8 = 0. What is the greatest common divisor of o and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 225. Let q be n(-33). What is the greatest common divisor of 42 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 144 = -0*z + 18*h, z - 22166*h = 3*z - 22161*h - 40 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**4\/5 - 19124*s**3\/5 + 19064*s**2\/5 + 267776*s\/5 - 91776 = 0?\nAnswer: -4, 2, 3, 4780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 - 25*g**3 - 126 + 126.\nAnswer: -26*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + n + 1. Suppose 0 = 4*c + 11 - 15. Let p(y) = -7*y. Let o(b) = c*p(b) + 5*s(b). Find the second derivative of o(a) wrt a.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, z: 3}. Give prob of sequence zqzq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 19.8. Which is the second biggest value? (a) 2\/47 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6634028?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 123.17408 - 8.70948. Let m = -114.2 + b. What is m rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 times 0.13\nAnswer: -3.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 5*j**2 + 2*j - 2. Suppose -2*f - 2*z - 9 = -7*z, 0 = -4*f - 3*z - 5. Let k(p) = -p**3 + p**2 + 1. Give f*k(a) - i(a).\nAnswer: a**3 + 3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 3\/522554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + -2*sqrt(156))\/((sqrt(528) - sqrt(33))\/sqrt(11)) + (4*-1*sqrt(117))**2 + -2 + (sqrt(117) + -2)**2 + sqrt(117).\nAnswer: -10*sqrt(13) + 1991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzzzzzzfz. What is prob of picking 3 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-5 - (3 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 333579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2430588 and -37\/783.\nAnswer: 634383468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -3*f**6\/2 + 15*f**5\/4 - 5*f**4\/3 - 5*f**3\/6 + 79*f**2. What is l in t(l) = 0?\nAnswer: -1\/12, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -959*x**2 - 4*x + 489523 wrt x?\nAnswer: -1918*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -34*p - 67. Determine j(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33100042 + -2?\nAnswer: -33100044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 520453425 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y**2 + 106*y - 553. What is f(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + g**2 + g + 1. Let v(t) = -23*t**3 - 4*t**2 - 6*t - 35. Let s(o) = v(o) + 6*z(o). Differentiate s(x) with respect to x.\nAnswer: -51*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2582\/9 or 286?\nAnswer: 2582\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) 0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*-3*sqrt(57)\/(sqrt(6)\/sqrt(2)))**2.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + r**2 - 2*r + 3. Let x be h(2). Let f = x - -7. Calculate the remainder when 3 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-560)\/(-6) + -1 + 128\/192 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 17*q - 210 = -44*q - 1970 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 8. Suppose 3*o - 39 = r, 2*o = -0*r + f*r + 30. Calculate the least common multiple of o and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128 + -129.3. What is the nearest to 0.1 in 0.1, -4, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -5)\/(-12 - -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 4*t**2 + 6*t + 2. Let f be l(-5). Let g = 3 + f. Suppose 4*q - 4*i = 81 + 51, q + 3*i - 25 = g. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 731366.31 to the nearest one hundred.\nAnswer: 731400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19467, 30943, 50069, 76845?\nAnswer: 111271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 629876*f + 197155.\nAnswer: 629876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-21)*m)\/m)\/m**(-2\/7)*m*(m**(-3)\/m)\/m*m*m**(-1\/18) assuming m is positive.\nAnswer: m**(-2743\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 5 + 20 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11010011000110001 (base 2) to base 9\nAnswer: -174230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v = -30*v - 1512. What is the smallest common multiple of 48 and v?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 2*o + 617*o**2 - 608*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 3\/(18\/(-170)). Let t = 27 + q. Let y = -0.04 - -2.04. What is the second smallest value in t, 2\/9, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 15 = -l, -4*l + j = -3*l - 7. Let m = -8 + l. Let f be ((0 + -4)\/m)\/(-2). Which is smaller: f or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 6) + 6 + -3 + -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25458 + 379659 = -5875*y - 17883 for y.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 8:29 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + -15 + 71 + -1 + -13 - -24.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140190, -280473, -420756?\nAnswer: -561039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**5\/20 - x**4\/3 + 2*x**3\/3 - x**2 - 58*x. Determine d(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712201253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**4 - y**2. Let s(w) = -13*w**4 - 20*w**2. Let h be ((-4)\/6)\/((-4)\/(-6)). Let p(o) = h*s(o) + 6*q(o). Find the third derivative of p(x) wrt x.\nAnswer: 456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12 - 8)\/(26\/(-5)). Let n = u - -24\/65. What is the second smallest value in -4, 18, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 e when two letters picked without replacement from {a: 1, x: 3, c: 1, e: 1, q: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -605*i**4 - 774 wrt i?\nAnswer: -2420*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*h**2 + 42*h**2 + 43*h**2 + 2*h**4 + h**3 to the form u*h**2 + l*h + q*h**4 + m*h**3 + a and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttjp when four letters picked without replacement from {i: 2, t: 11, p: 5, j: 1}?\nAnswer: 275\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -46. Suppose -20 = -8*w + j*w, -h - 12 = -3*w. Let l = 3 + -4. Put l, h, -14 in ascending order.\nAnswer: -14, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from {c: 4, p: 3, y: 2, j: 1, r: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 81039 a multiple of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22606850 to the nearest integer?\nAnswer: 4755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-2)\/56)\/(12\/42).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-6) + (-221)\/78?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 - 189?\nAnswer: -1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 60.06 (b) 518\/25 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 0, -2*n - 26*w + 54 = -21*w. What is the smallest common multiple of 249 and n?\nAnswer: 2241","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -78 - 11 + 784*y**2 - 784*y**2 - 121*y**4 wrt y?\nAnswer: -484*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -28*a**2 + 2*a + 5. Calculate f(-2).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8553 = 760*b - 163*b + 5178. Let u(j) = -10*j - 214. Give u(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p. Let v(c) = -2*c. Let u(j) = -3*r(j) - 5*v(j). Let k be u(-1). Find the common denominator of 2\/6*k*-47 and 65\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.65*15.72\nAnswer: 10.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/4)\/((-2)\/(-4)). Let d be 5\/(-3)*18\/(-5). Suppose -3*r + l = -d. Solve 0 = 5*f + 2*p - 6, 2*f = -p + 6 - r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -14463483?\nAnswer: -28926966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 10\/(-5)) + -1. Solve j = -3*p - 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1980\/29 or -68?\nAnswer: -1980\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 11112331?\nAnswer: -11113001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*y - 901076 + 901688 = 0 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from askqi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*o**5 - 8815*o**2 + 4411*o**2 + 4404*o**2 + 140*o wrt o.\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 2*w - 4. Give t(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 7:26 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 425*s - 2574. Determine b(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, 1\/12, 0.5 in descending order.\nAnswer: 110, 0.5, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1036*z**2 - 3*z - 6. Let r(u) = 2071*u**2 + 7*u + 11. Let i(b) = -3*r(b) - 5*v(b). What is the second derivative of i(g) wrt g?\nAnswer: -2066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3185, -6431, -9739, -13139, -16661, -20335, -24191?\nAnswer: -28259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*j - 16 = 0, -3*l + 0*j - 52 = -2*j. Let q be 404\/36 - (-4)\/l. Solve q = -3*s + 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7481273 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*x = -12, -7*x + 4 = g - 3*x. Suppose 0 = 3*l - 5*i - 58, g*l - 60 = -l + i. Solve 0 = -5*n + 2*y + 5 - l, 5*n - 4*y = -12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294172579543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**2\/3 - 171*q + 2036\/3 = 0.\nAnswer: 4, 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 0*u + 0*u)*(-7*u - 2*u + 6*u) + (-6*u**2 + 4*u**2 + 0*u**2)*(u - 6*u + u).\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -459 - -1077. Which is smaller: n or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 114425 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 292.6 + -144.3. Let h = 148 - j. Let g = 0.48 - 0.28. Which is the closest to -5? (a) h (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220022020230 (base 4) to base 14\nAnswer: -1580684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 9*k + 10. Let c be l(7). Let f(v) = -4*v**2 - 7*v - 13. Let s(w) = w**2 + 3*w + 7. Let b(g) = -2*f(g) - 5*s(g). Is 20 a factor of b(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 1. Let y(s) = -5*s**2 + 9*s**2 - 5*s + 6*s + 3*s - 4. Let x(h) = 4*d(h) - y(h). Let c(w) = 3*w**2. Give c(x(m)).\nAnswer: 48*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-12) + 12\/18 - -4. Solve a = -0*u - 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8702\/(-114) + 76)*6\/20. Let l = -13 + 30. Sort t, l, 0.5 in decreasing order.\nAnswer: l, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7580512 and 30.\nAnswer: 113707680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 715 divided by -143\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l*n**3 - 2*l*n**2 + 30*l*n + 24662*l + 2*n**3 + 564*n**2 - 57*n + 260 with respect to l.\nAnswer: -n**3 - 2*n**2 + 30*n + 24662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p + 1. Let a(l) = 51*l + 9. Give 2*a(n) - 18*j(n).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 9 + (7 - -18 - 8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**2 - u + 3. Let m(a) = 7*a**2 + 2*a - 6. Let s(f) = -4*c(f) - 2*m(f). Let k(o) = 3*o - 3*o + 6*o**2. Give k(s(v)).\nAnswer: 24*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 11:11 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1637, 2410, 3705, 5528, 7885?\nAnswer: 10782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 327, 0.05, 2, 3 in descending order.\nAnswer: 327, 3, 2, 0.8, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 1348*u - 1346.\nAnswer: -2*(u - 673)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**3 - 3*m**2 + m + 21. Let w(o) = -o**3 + 2*o**2 - 7. Let z(l) = 4*d(l) + 11*w(l). Let j be 4\/(-18) + 52\/(-9). Is z(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 5. Let s(a) = -a**3 - a**2 + 4. Suppose 0 = 3*p + 3*l + 6, -p + l = 114 - 112. What is p*d(k) - 3*s(k)?\nAnswer: 3*k**3 - k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 5*w**3 + 5*w - 5 - 1 - 10*w**2 + 2 = 0. Calculate w.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**5\/11 - 8*k**4\/11 + 16*k**3\/11 + 28*k**2\/11 - 14*k\/11 - 20\/11 = 0.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from yyhhy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 5, 0, 1, -1522, 2, -4 in decreasing order.\nAnswer: 19, 5, 2, 1, 0, -4, -1522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3. Let z = 4.66 + -3.66. Which is the closest to k? (a) -0.2 (b) 0.03 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (-2 + -1 + 4). Let l(z) = -i + 5*z**2 - 3 - 4*z**2 + 10*z + 8*z**2. Let x be l(-8). What is x rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**4\/8 + v**3\/6 - 474*v**2. Let g = 1 - 1. Suppose g = -0*a + a + r - 2, -3*a + 5*r = 34. Determine k(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-1)*10\/20*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/(12\/120).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j = -6. Suppose j = -3*n - 0. List the prime factors of (-1 - 1)*n - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -133168 by 2324.\nAnswer: -4756\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/3)\/((-32)\/(-96)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**4\/12 - g**3\/3 - g**2 - 48*g. Let n(r) = -r**2 + r + 1. Calculate -2*n(u) - v(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 20 = 4*v, -b - 5 = b - v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 21 = -0*a. Solve -2*b = a*b - 15, 2*b + 4 = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157073 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1*32*40\/(-2880)*(-9)\/(-10).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-3)*-3 - 2. Put 3, w, -1 in decreasing order.\nAnswer: 3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27285 (base 10) in base 2?\nAnswer: 110101010010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 2, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 - 102*v**2\/7 - 976*v\/7 - 1560\/7.\nAnswer: -2*(v + 2)*(v + 10)*(v + 39)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -633888, -1267133, -1900354, -2533539, -3166676?\nAnswer: -3799753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 827578.8 centuries in years?\nAnswer: 82757880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 6*w**2 + 6. Let x be p(-6). Let j be (10\/x)\/((-20)\/(-60)). Solve -3*i + 2 - j = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -674.7076 and -0.02.\nAnswer: 13.494152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1305)\/(-30)*4 - (-11 - -2). What is the highest common factor of t and 18849?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*d*s**2 - 17*d*s - 288*s**2 - 400*s wrt s?\nAnswer: -22*d - 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*n + 4*t - 11, -2*t = 3*n - 23. Solve 13 = -n*x - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(288) + 1 - (-4 + sqrt(288) + 1))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 7*i - 26. Let u be c(4). Suppose -l - 2*o = -6*o - 15, -5*l + u = -o. Suppose 24 = 4*v - 24. Solve s = -l*s + v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 21727*i**2 - 3*i - 4. Let w be k(-3). Suppose -r + 1355451 = -w. Let d = 990999 - r. What is d rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -84. Let p = j + 307\/7. Which is the nearest to 2? (a) 3 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - 14*i**2 + 34*i + 22. Is 11 a factor of u(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6))**(-13)\/(b**4)**(-3\/2) assuming b is positive.\nAnswer: b**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8453 and -1159.\nAnswer: -2138.7027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 92 - -4631?\nAnswer: 4713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 + 13*w - 4. Let d be h(5). Suppose -d + 7 = 4*x. Let y(c) be the third derivative of c**6\/40 + c**5\/60 - c**3\/6 - 8*c**2. What is y(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 12:35 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1186894732, -1186894734, -1186894736, -1186894738, -1186894740?\nAnswer: -1186894742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4 times 529852?\nAnswer: 1801496.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 4*d + 6)*(-4 - 3*d + 4)*(6*d + 9 - 9) to the form s + o*d**3 + p*d**2 + u*d and give o.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -1, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -122, -244, -366, -488?\n\"Answer: -122*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/5 + 506877*m\/5 + 1520658\/5.\nAnswer: -3*(m - 168962)*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1043*c*s**2 - 479*s**2 wrt c.\nAnswer: 1043*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*1784\nAnswer: 356.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 209*g - 36. Let f be s(18). Suppose 0 = -x - 2*x + f. Let a = -7583\/6 + x. What is the common denominator of a and -43\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833 a factor of 228316424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28883043 to the power of 1\/2, to the nearest integer?\nAnswer: 5374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 8 = 2. What is the lowest common multiple of 6 and 216\/21 + t\/7?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43671.\nAnswer: 3, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 10:19 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.69 + 1.8.\nAnswer: 2.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 166 + -99. Let l = k + -27. Suppose -l*v = -46*v + 66. What is the remainder when 164 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 9:57 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4\/2 - 14550*u**3 - 29088*u**2 + 58200*u + 116376 = 0. What is u?\nAnswer: -9698, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020103326.\nAnswer: 2, 3, 11, 17, 27551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -2 + sqrt(1100)*1 - (0 + (-3*sqrt(1100) + sqrt(1100))*2 + sqrt(1100))) + 2)*-6.\nAnswer: -240*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*q + 13*q - 5*q**2)*(-4*q**2 - 4*q**2 + 3*q**2 + (q - 1 + 1)*(2*q - 2*q + 2*q) + 4*q**2 + 3*q**2 - q**2).\nAnswer: -15*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -8, 5, -1 in descending order.\nAnswer: 5, -1, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -19, -0.4?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 1\/10*z**4 - 1\/150*z**5 - z + 62*z**2 + 0 - 3\/5*z**3. Factor o(t).\nAnswer: -2*(t - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2924 and 0.1.\nAnswer: -292.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -601*c + 4835*c + 133*c**2 - 83 - 134*c**2.\nAnswer: -c**2 + 4234*c - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 107296922.8 rounded to the nearest 10000?\nAnswer: 107300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l. Let b(x) = -x**2 - 3*x. Let t(k) = -k. Suppose -5*q + 7*q + 66 = 0. Let a = 27 + q. Let o(s) = a*t(s) + 2*b(s). Determine y(o(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*c + 8 = 0, -29 = -3*f + 3*c - 8. Suppose -4*l + 7 + 20 = f*q, l = -q + 7. Suppose 3*w + l = u - 2, 23 = 4*u - 3*w. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131240 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 divided by -177?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -497 divided by -96967?\nAnswer: 497\/96967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237993885?\nAnswer: 3, 5, 5288753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = n - 2*l, 0 = -n - 2*l + 2. Solve -n*h + 4 = -2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 4*b + 10, 3*a + 28*b = 26*b - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 93 = -761. Suppose -4*o - 5*c + 141 = 0, 2 = -4*o + 3*c + n. Is (7 - o\/6) + (-3121)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1.5. Let l = -0.034 + -283.966. Let n = -290 - l. Which is the closest to -0.1? (a) k (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*a**2*i - 1885*a**2 - 35*i**2 wrt i?\nAnswer: 7*a**2 - 70*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**3\/6 + 4*t**2 - 2*t. What are the prime factors of o(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 483*k**3 - 942*k**3 - 3 + 467*k**3 + 1.\nAnswer: 8*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 8 (c) -0.2 (d) 4614 (e) 3\/7 (f) -4 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 695*u**4 + 1892*u**4 + 7056 + 3460*u**4 wrt u.\nAnswer: 24188*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + -7 - (-13 + 2)) + 0 + -11.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4773\/25 < 191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1293 + -284. Let o(y) = y**3 + 27*y**2 - 30*y - 56. Let k be o(-28). Suppose k = -5*t + 296 + w. What is the highest common factor of t and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -9, -89*v - 2*c + 15 = -88*v. Solve 28*h - g + 18 = 33*h, 0 = h - 4*g + v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (4 + -6)) + (3 - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/116)\/6*(-18)\/(1458\/(-27))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*s = -153*s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -110910 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/((-690)\/(-140))*9\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-50) - 1496\/595)\/((-16)\/(-56)) - 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/7051 and -7\/46152.\nAnswer: 507672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from {d: 1, s: 2, i: 14}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -20*y - 7. Let v be s(-7). Let g = v - 78. List the prime factors of g.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4229, -16910, -38037, -67610, -105629, -152094?\n\"Answer: -4223*d**2 - 12*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -4. What is the biggest value in a, -1\/6, -0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96372569413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.19474 to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -15*d. Calculate f(-8).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmjmmmmmjmmj?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10146 and 7608.\nAnswer: 12865128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 586 and 249929?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88*c**3*h + 601*c**2*h wrt c?\nAnswer: 528*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y = -y + y - 2706. Solve -36*x = -y*x - 180 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.003573*5.\nAnswer: 0.017865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 590.2 - 590.5. What is the nearest to 1119 in 5\/2, 1, a?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/4)\/((-90)\/(-960)))\/((-6)\/57)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/3774 and 97\/2220.\nAnswer: 37740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -1289*l + 2. Let i(v) = 29*v. Give i(n(u)).\nAnswer: -37381*u + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1dabd (base 16) to base 4\nAnswer: -131222331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - 3122233?\nAnswer: -3122330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6987 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/34 and 50\/4059.\nAnswer: 138006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 5*d - 4. Let l be t(-6). Is l\/(-8) + 459\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 8*o - 6. Let l be f(-7). Let h(q) = 13*q**2 + 2*q - 1. Let p = 84 + -64. What is the least common multiple of p and h(l)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2485, 9507, 21213, 37603, 58677, 84435?\n\"Answer: 2342*u**2 - 4*u + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1513, 1517, 1525, 1537, 1553?\nAnswer: 1573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 16 = 0, -l - 12 = -5*l - 3*c. Suppose -3*x - 57 = -l*x. Let z = -4 - x. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 278214.\nAnswer: 1\/92738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592 - 345 = -164*t - 737 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k*v*w**2 + 8*k*w**2 + 14833*v*w**2 + 6*v*w - 9906*w**2 with respect to v.\nAnswer: k*w**2 + 14833*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/27 - 8\/36. Which is bigger: 8\/3 or v?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1, -37, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/72 and -49\/5366136?\nAnswer: 16098408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8429 + 1.84262119. Round o to six decimal places.\nAnswer: -0.000279","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 3*h**2 + 6*h.\nAnswer: -3*h*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a\/(a**8\/a))\/a)*a)\/a)\/a**28)\/((a\/(a\/a**(-25)))\/a**(3\/14)) assuming a is positive.\nAnswer: a**(73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011.34um in nanometers?\nAnswer: 1011340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36 and 566817.\nAnswer: -20405412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/18441 and 47\/57372.\nAnswer: 516348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 105\/(-98)*4*14. Let i be (7 - 10) + a\/(-14). Let 3\/7*s**2 + 6\/7 - i*s = 0. What is s?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 4. Suppose 313 = -5*m - 2*p, 2*m - 2*p = 5*m + 187. Let b = m + 58. What is v(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 146149, -1 in descending order.\nAnswer: 146149, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9887?\nAnswer: 9887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 12:07 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51679, 103326, 154945, 206536?\nAnswer: 258099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**10\/30240 + z**9\/15120 + 5*z**4\/12 - 9*z**2. Let k(g) be the second derivative of p(g). Let k(i) = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*w - 92 = 4454 + 2461. Put w, 3, 9 in descending order.\nAnswer: w, 9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8261494 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2605 - 1845. Let j = m - -294. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/18 + (-2)\/12. Let z = -0.8 - -1.1. Which is the nearest to 0? (a) 0.14 (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**5\/3 - 16*a**4 - 48*a**3 - 128*a**2\/3.\nAnswer: -4*a**2*(a + 2)**2*(a + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 4*d - 10, 0 = -2*v - 0*d + 3*d + 18. Suppose -3*q = 9 + v. Suppose 3 + 2 = -5*s. Which is the closest to s? (a) q (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 453547472 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 10.113, 323?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -15*y - 5. What is h(-4)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78553 < 3253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 234 = 13*g. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-560)\/(-30))\/((-1)\/(-4221)*3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l**2 + 39*l**2 - 17 - 83 - 40 - 20*l**2.\nAnswer: 2*l**2 - 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-18)\/(-30))*-3. Suppose -2*b - 4*t = -6, 3*t + 6 = 3. Let u = b + -5. Solve 5*d + 0 + q = u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -816*g + 45 = -820*g + 3*y, -3*g - 3*y - 18 = 0 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -144140423 (base 5) in base 14?\nAnswer: -161175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 182, 335, 518, 713, 902?\nAnswer: 1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1069628 is divided by 10590?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -88, -98, -108?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 14. Let g be c(10). Are g and 46\/15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -482*f*o**2*t - 208*f*o**2 - 7*f*t + 2*o**2*t - 112*t - 12321 with respect to f.\nAnswer: -482*o**2*t - 208*o**2 - 7*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*f - 18. Suppose -11 - f = -4*j. Suppose -j = g - 15. Solve -5*w - 5 = 0, 4*v - w + 3*w + g = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m*y**2 - 383*m*y + 259*y**2 - 2*y wrt y.\nAnswer: -6*m + 518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -67*h**3\/3 - h + 3. Let s be q(-1). Let b = -40 - s. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (3 + 4 + -1 + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17646 + 7654. Let s = -10005.593 - z. Let t = s + 0.293. What is t rounded to zero decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 10 = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y - 21*y**3 + 25*y - 2*y.\nAnswer: -21*y**3 + 42*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(204)*2 + sqrt(204))*6)\/((sqrt(84) - sqrt(84)*2)\/sqrt(7) - -3*-2*sqrt(12)))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5729 divided by -1.\nAnswer: -5729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209 and 83017.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612764 is divided by 306380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 17*f + 12. Determine k(5).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880801771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**3 + 39*x**2 - 30*x - 62. Is o(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 11*p**3\/6 - 8*p. Let u(c) = -2*c**2. Determine x(u(o)).\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + 6*k**3 - 2*k**3)*(k - k - 7*k) - k**4 - 2*k**2 + 2*k**2 + (3 - 3 - k)*(0*k + 0*k - k**3) + 3*k**4 + k**4 - 2*k**4 + 0*k**4 - k**4 + 2*k**4.\nAnswer: -11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 15*z + 33. Let g be l(17). Let u(q) = -q + 1. Calculate u(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/4 + 33558*z + 1208331\/4.\nAnswer: -3*(z - 44753)*(z + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((0 - 1) + 2). Let q(i) = 4*i**3 + 4*i**2 - 3*i. Let a(h) = -7*h**3 - 7*h**2 + 5*h. Let d(y) = -3*a(y) - 5*q(y). Give d(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 - -217. What is the highest common factor of d and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**5\/15 + 14*i**4\/15 + 352*i**3\/15 + 1784*i**2\/15 + 704*i\/3 + 2432\/15 = 0.\nAnswer: -4, -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 105104 (base 6) to base 7\nAnswer: 34636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -507*r**5 - 6240*r**4 - 7461*r**3 - 1860*r**2 - 132*r = 0?\nAnswer: -11, -1, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.09, -2\/19, -24, -0.046, 2 in decreasing order.\nAnswer: 2, -0.046, -2\/19, -1.09, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 136350579?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 190, 216, 244, 274, 306?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1883217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3056, -12284, -27664, -49190, -76856, -110656?\n\"Answer: t**3 - 3082*t**2 + 11*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -8. Let z(f) = -1. Let b(a) = 25*a - 5. Let u(l) = 62*l - 9. Let t(j) = -5*b(j) + 2*u(j). Let h = 8 + -7. Determine h*t(o) + y*z(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-4))\/(1\/(-4)). Let a be ((-4)\/(-3))\/(3*4\/36). Suppose x + n*q + 1 = 3*x, -3*q = a*x + 11. Put -0.4, x, -5 in increasing order.\nAnswer: -5, x, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 6657 = 3*q. Suppose 2*x = o - q, 0*x - 1593 = -5*o + 2*x. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 574 + v**2 - 1159 + 21*v - 2*v**3 + 588 as z*v**2 + c*v + k*v**3 + m and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -385314 take away -15425034?\nAnswer: 15039720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1290828 and -1\/309372.\nAnswer: 37434012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3 = 17. Let f(k) = k**2 - 3*k - 10. Let n be f(h). Suppose 5*u - 3*b - 194 = 0, 3*u - 4*b - n = -b. List the prime factors of u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - ((-2056)\/(-238))\/4. Let w = j + 15103\/1428. What is the common denominator of w and 3\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 5*y**8\/84 - 26*y**7\/105 + 2*y**6\/15 + 4*y**5\/15 + 4*y**2. Suppose l(w) = 0. What is w?\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*f + 870, 5*h + 240 + 610 = 5*f. What is the least common multiple of 6 and f?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23870379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1752618705 and 1335?\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 316588\/5 or 63317?\nAnswer: 63317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 20*h - 14. Suppose -2*w + 12 = 3*o - 3*w, 4*o = -w + 23. Let g(l) = -7*l + 5. Let p(k) = o*r(k) + 14*g(k). Let y(b) = 9*b. What is y(p(z))?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.4 (b) 8.04 (c) 0.2 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 48*m**2 - 92*m - 19. Determine r(46).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 606*k**2 + 46206*k - 45602.\nAnswer: 2*(k - 151)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 8*i = -680. Calculate the remainder when 188 is divided by i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202021110120 + 0?\nAnswer: 1202021110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(12)\/sqrt(4) + -2 - ((sqrt(3) + 1 + sqrt(75))**2 + (sqrt(36)\/(sqrt(12) + (sqrt(300) - sqrt(12))))**2)) + 5.\nAnswer: -2653\/25 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*p + 5*c - 1, 5*c - 5 = 0. Suppose -p*o = o + 3. Put -5\/4, -2, o in descending order.\nAnswer: o, -5\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*l + 2*f = -105*l - 4, -4397*l - 3*f - 6 = -4400*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 1836302.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 22*q + 8*q)*(2*q**3 - q**3 + 2*q**3)*(-4 + 2 + 1).\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**5\/60 + 6*i**2. Let v(w) = 6*w**2. Calculate v(s(b)).\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 16*t**2 - 1. Let f(c) = -c**3 - c**2 + 6*c + 3. Let d be f(-4). Let b = d - 28. Give y(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 3)\/(1\/2). Let a = 4 - x. Suppose -3*t + 7 + 8 = 0. Calculate the remainder when t is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132*b**4 + 17274*b**3 + 12336222*b.\nAnswer: -1584*b**2 + 103644*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = -q. What is the nearest to -0.1 in -0.5, q, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*(-4 + 3)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9295.5 + -9296. Which is the second smallest value? (a) v (b) -0.1 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 0*x + 2*x**3 + (0*x + 0*x + 2*x)*(102*x**2 + 98*x**2 + 17*x**2).\nAnswer: 436*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 30 + (1 - (-6 - 24))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 362*w - 277. Let d(b) = 70*b - 55. Let i(v) = 31*d(v) - 6*n(v). Calculate i(-11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 - -70. Suppose -u = -23*n + 27*n. Is 10071\/6 - n\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1)*1*2. What is the remainder when 6 is divided by 0\/(-2) + w + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 - (2\/(-1) + 0) is divided by (84\/16)\/7*24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -109.29714433 to 2 dps.\nAnswer: -109.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 343, 847, 1627, 2725?\nAnswer: 4183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 7:44 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 2) + (2 - 1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {n: 18, i: 2}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52636699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 14*n = -2892. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjqj when four letters picked without replacement from {q: 15, p: 3, j: 2}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 191000.3552 to the nearest integer.\nAnswer: 191000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 13*f**2 + 10*f - 29. Let u be b(-12). Suppose -41*m + 39*m = -40. Sort u, -3, m.\nAnswer: u, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 4*i + 41 + 39, -2 = i. What is the lowest common multiple of u and (-18)\/4*(1 - 5)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -14. Let v = 68 + -64. Let w be (v\/(-14))\/(3\/(-49)) - 4. Sort a, w, -5\/3 in increasing order.\nAnswer: -5\/3, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -16. Let m = g + -15. Is m\/(-2) - (-201)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + ((3*sqrt(136))\/sqrt(8) - sqrt(153)\/(-3*sqrt(9))))**2*-2.\nAnswer: -3418\/9 + 40*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 60 - (32 - -5) - 18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*l + 3*a, 0 = 3*l + 411*a - 408*a - 27. Solve l = -35*y + 52*y - 85 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 85.\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -16 - ((-2 - (-14 + 6)) + -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)\/(i**11*i))\/((i*i\/i**(-1\/3))\/i**(-12)) assuming i is positive.\nAnswer: i**(-559\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56.9 - 57.1. Which is the biggest value? (a) 1838 (b) 2\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-44)\/(-12) + (2 - 8\/3). Suppose -a*n + 2*x = 25, 2*n - 4*x = 14 - 44. Is (-14)\/(-315)*n - (-23861)\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8205 and 2205.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**4 + 6416*o**3 + 12844*o**2 + 6424*o = 0.\nAnswer: -1, 0, 1606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2560080 (base 9) to base 14.\nAnswer: -285461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 116 (base 7) to base 6\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1911?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1878 and 1936916616.\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-23)\/((-598)\/(-273))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.51686 - 54?\nAnswer: -72.51686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1*4867\nAnswer: 4867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4)*p)\/(p*p**(1\/4)\/p))\/((p\/p**7)\/p*p**3)*p\/(p**(-3)\/p)*p**(1\/4)*(p*p\/(p*p**6))\/p*p*p**3 assuming p is positive.\nAnswer: p**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -235 - 1?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -84 (base 15) to base 4\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*b - 24*b + 44*b + 20*b + 3*b.\nAnswer: 81*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -652226 by 326113.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (336\/(-3))\/((259\/74)\/((-98)\/49))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897492 is divided by 174?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(125) + (-1*sqrt(125) + sqrt(125))*-1))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + -1)*6 - (sqrt(1008) + 4 + sqrt(1008) + 1 + sqrt(1008)).\nAnswer: -11 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**2 - 67*z + 56. Let s be l(-16). What is the highest common divisor of 200 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484*m + 400446 = -5199918. Is 203 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 1. Let r = -54 - -40. Let p(m) = -m**2 + 7*m + 7. Let w(k) = r*o(k) + 2*p(k). Let q(z) = 10*z**2. Give w(q(h)).\nAnswer: -200*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004856 rounded to seven dps?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 14 (c) -0.09 (d) -6\/5 (e) -184\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -572.\nAnswer: 11.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1174, 1329, 1480, 1627?\n\"Answer: -2*b**2 + 161*b + 1015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o*x**3*y**3 - 35*o*x**2*y**3 + 2*o*x**2*y**2 + o*x**2*y + o*x*y**2 - 790*o*y**3 + 145755203*x**3*y**3 + 16*y**3 wrt x.\nAnswer: 6*o*y**3 + 874531218*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t - 52*g + 3 + 2 - 17, -3*g = -4*t + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293295965?\nAnswer: 5, 421, 139333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, h: 1, z: 3, k: 3, x: 6, n: 1}. What is prob of sequence nf?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x + 14. Suppose 18 = -2*m + 2*j, m + 3*j + 12 = 3. Let h be c(m). Which is smaller: h or -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*x + 13395, -a - 5*x + 1173 + 1526 = 0. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9454, 10070, 11198, 12838?\nAnswer: 14990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.42 from -0.47362.\nAnswer: -0.05362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 77 + 11. Let x be (-58)\/(-1*(-1 - -2)). Suppose -3*v = -x + c. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*g - 363353, -4*g = 107*v - 103*v - 290688. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609376 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 190.953 + -170.98. Let z = l - -0.027. What is the smallest value in z, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 4)*(1 + 3 - 3) + 2 + 4 - 4)*(7*t**4 + 3*t**4 - 5*t**4).\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2419.43 to the nearest 10.\nAnswer: -2420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 51\/2*i**2 + 0*i**3 - 3\/5*i**5 + 0*i + 1\/2*i**4 + 41. Find the second derivative of d(h) wrt h.\nAnswer: -36*h**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -17)*4 - -1. Suppose 4*l - r - 225 = 0, 7*l - 5*l - 4*r = 116. Which is smaller: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14594 is divided by 248.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -20.21.\nAnswer: -101.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 363 + -364.49. Let s = f - -2.68. Let c = s - 0.19. What is the nearest to c in 4, -3\/5, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -197302 times 60\nAnswer: -11838120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -893 = -894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 - 101?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**7\/490 - x**6\/280 + x**5\/140 + x**4\/56 - 7*x**2 - 10. Let m(t) be the second derivative of w(t). Factor m(h).\nAnswer: -3*h*(h - 1)*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2526 or 2525?\nAnswer: 2525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 93 (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 8 = -4*r - 2*o, -2*r = -5*o - 19. Let b = 27 - r. Calculate the lowest common multiple of 3 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81979.71584 rounded to the nearest one hundred?\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*f**2 - 50*f**2 + 31*f**2 + 65*f**2.\nAnswer: 133*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.43881 or 1.1?\nAnswer: -5.43881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 26*p**3 - 164*p**2 + 259*p + 3. Let z(f) = -63*f**3 + 330*f**2 - 517*f - 5. Let j(q) = 7*o(q) + 3*z(q). Find the second derivative of j(x) wrt x.\nAnswer: -42*x - 316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64493*v + 10 - 64493*v + 101*v**2 to the form f + z*v**2 + x*v and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.69442 rounded to two decimal places?\nAnswer: -10.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 - 6*h**2 + 3. Suppose 2*w + 788 = -2*i, 4*i = -2 - 2. Let l = w - -392. Let q(j) = j**2. Calculate l*u(v) - 5*q(v).\nAnswer: 2*v**3 + v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20869240 = 3*c - 4525396. Suppose -257*v = -268*v - 118227428. Let k = v - c. Round k to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110011212 (base 3) in base 4?\nAnswer: -12332102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 459.11476746 and -5?\nAnswer: 464.11476746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aea90 (base 15) to base 5.\nAnswer: -120242020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 801039\/7 at least 114434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(2 + (-36)\/16). Which is the closest to 2\/5? (a) q (b) -0.5 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5835 and 0.9?\nAnswer: 5834.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 108579985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (-1 + 3 + 0 - (787 + -779)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m - m**2 + 4*m - 5 + 0*m - 15 + 0*m**2 to the form s*m**2 + x*m + q and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + -52611?\nAnswer: -52676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 4. Suppose -2*o - 2*o + 72 = 0. Let z be 4\/o + 2\/(-9). What is l(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110 - 11011?\nAnswer: -10010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 (base 13) in base 14?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 46.59451 grams?\nAnswer: 0.04659451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 674 + -256. Suppose 0*i + 2*i = 0. Suppose i = 9*x - 7*x - n. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2760 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53909836061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 81*s**4 + 6120*s**3 + 114232*s**2 - 51680*s + 5776 = 0.\nAnswer: -38, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31816 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -7*k + 39. What is f(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 725 + -32623\/45. Which is bigger: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 - ((11 - -1) + -3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/4, 352, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/4284 and -127\/204.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 127227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -11*f + 9. Let l(w) = 2*w + 1. Calculate -6*l(q) - 2*t(q).\nAnswer: 10*q - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t = -5*m - 21*t + 442, -2*m - 4*t + 156 = 0. Calculate the remainder when 406 is divided by m.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 18. Let f = a + 22. Calculate the greatest common divisor of f and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19269 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 - 0.58. Let k = m - -0.5. Which is the third biggest value? (a) -3 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140567 - 140563 - 3*f + 281130.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3192485*s**4 + 2225510*s**2 wrt s.\nAnswer: -76619640*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = 12 - 12. Let v be 5\/(-4)*(-1 + -11). Let u = 243 + -238. Solve k = -u*q + 2*i - i + v, 2*q - 3*i + 7 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70394299 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + 25*k + 12. Let o be n(-12). What is the nearest to 0.3 in 0.4, o, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159*o - 41*o + 248*o + 25*o to the form b + v*o and give v.\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-11))\/(o**(17\/3)\/o)*(o*(o*(o*o*o*o*(o\/o**(8\/7))\/o)\/o*o)\/o)**(2\/9) assuming o is positive.\nAnswer: o**(172\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0 + 0)*(-3*v + v + 0*v)*(-1 + v + 5*v - 5*v).\nAnswer: 2*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i. Let l(w) be the second derivative of w**5\/20 + w**3\/6 + w. Determine -3*l(d) + q(d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -394, -1\/3, -3\/4, 13\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 244 - 1?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**6\/300 - 2*z**5\/75 - z**4\/15 + z**2. Solve j(n) = 0 for n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z - 2*z - 801 + 850 + 0*z. Give p(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35\/17 + 553\/153. What is the third biggest value in w, -0.2, 5\/4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110 + -10011100?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37 - b7?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -11*r + 51*r - 4 - 19*r + 2 - 23*r. Give l(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -18. Solve d = -o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14.3, 2, 1, -18, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -19*c**3 - 1. Suppose 0 = 3*b + 2*y - 3, 7*b - 5 = 2*b - 3*y. Let j be h(b). Let x be j\/(-6)*30\/(-1). What is x rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12\/11*q - 32\/11 + 2\/11*q**2 = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 121*u - 117*u - 36. Calculate the remainder when 34 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = -10. Calculate the remainder when 27\/s*(-24)\/9 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 16 + 88)*(5*l - 28*l + 14*l).\nAnswer: -882*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5\/7)*t)\/t)\/(t*t**4\/t)*t**(-1)\/(t*t\/t**(3\/2)*t) assuming t is positive.\nAnswer: t**(-101\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 1. Let w(x) = -x**3 + 2. Let u = 1038 + -1030. Suppose 0 = l + s - 6*s - 74, -l - 5*s = -34. Suppose u*n - l = -n. Calculate n*m(a) - 3*w(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**7\/630 + l**6\/720 + l**4\/12 + 7*l. Let v(j) be the third derivative of r(j). Let k be v(1). Solve -1 = t - k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 21*s - 36. Give g(13).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 0*u**4 - 1\/6*u**3 + 0 + 0*u + 0*u**5 - 3*u**2 - 8299\/120*u**6. Let f be r(1). What is f rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 c when four letters picked without replacement from scssccsscsszszsssscs.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 7*d**2 + 8*d - 1. Let j be f(6). Let h = -8 + j. What is the nearest to 0 in h, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 15*k = -7*k - 110 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -37*h - 51. Let w = 215 - 221. What is the tens digit of z(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 6*q**2 - 3*q - 1. Let y be v(3). Suppose y + 7 = 4*m. Suppose -m*r = -3*r - 42. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8 + 4*y - 4*y - 7*y**2 + 6*y**2 + y**3. Let r = 0 + 0. Is 8 a factor of o(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 0*l**5 + 1\/105*l**7 - 1\/60*l**6 - 1\/3*l**3 + 1\/2*l**4 - 1 + 48*l**2 + 0*l. What is the second derivative of y(s) wrt s?\nAnswer: 24*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90 - 35*m - 90 to the form q + z*m and give z.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/2)\/k*k**(-7)*k\/k**(-7)*k\/(k*(k\/k**4*k)\/k)*k)\/((k*k**(2\/23))\/((k*k**11)\/k))**32 assuming k is positive.\nAnswer: k**(14707\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 10) in base 11?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*x**2 - 87*x**2 - 8*x + 8*x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -38*p. Let m(r) = -111*r**2 + r. Give m(l(o)).\nAnswer: -160284*o**2 - 38*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 6:11 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*5*(-5325)\/(-125).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3323254883?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*k - 426*k**3 + 49*k.\nAnswer: -426*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 34\/95, -0.2 in increasing order.\nAnswer: -0.2, 34\/95, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + (1 + sqrt(153))**2 + (1 + sqrt(153))*2 + (-4*((sqrt(153) - (-2 + sqrt(153) + 0)) + -1 + sqrt(153) + 1))**2.\nAnswer: 204*sqrt(17) + 2672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 839864914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*i - 43*i - 7*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -813381 (base 13) in base 6?\nAnswer: -144233100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -20433 less than or equal to -20482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, h: 13, y: 2, w: 3, e: 1}. What is prob of sequence hh?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*n + 370, -5*n - 3*b = 2*b - 470. Let d = 3001 - 3069. Let w = d + n. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/2*(-347976)\/567*27\/(-4) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/6)\/(27\/(-54)) - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 340, 370, 410, 460, 520?\n\"Answer: 5*u**2 + 15*u + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 q when three letters picked without replacement from qqqpqpqqqpqqqqqqqq.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007 - -0.09?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 2}. Give prob of picking 1 i and 1 h.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 8?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.62?\nAnswer: 0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8979, -17784, -26589?\n\"Answer: -8805*h - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 85981b (base 12) to base 3\nAnswer: 10222020211112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11949589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/469938 and 61\/1503.\nAnswer: 1409814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*w - 33 = 11, -3*q + w = 49. Let t be ((-174)\/30 - -6)\/(q\/(-30)). Which is the second biggest value? (a) 1\/9 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12325940 or 12325941?\nAnswer: 12325941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22846349 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -284, -621, -1062, -1589, -2184, -2829, -3506?\nAnswer: -4197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 0, 1\/3 in increasing order.\nAnswer: -35, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1946338 (base 11) to base 5.\nAnswer: 1320203344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31442238 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - -2) + -157 + (48 - -32)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-1\/4)\/l)*l)**21*((l*(l\/l**(-2))\/l)\/l)**(15\/7))**(31\/5) assuming l is positive.\nAnswer: l**(62961\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1 + 7*f - 5*f - 3*f - f**2 + 3*f + 31*f**3. List the prime factors of t(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -34 - 6. Suppose 3*h - 5*r + 19 = 2*h, 43 = 3*h + 5*r. Calculate the remainder when x is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m + 3*m - 5*m + (3 + 1 - 5)*(2*m - 2*m - m))*(-47 + 38 - 54) to the form k + r*m and give r.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - o + 4. Let u = -24 + 24. Suppose 0 = l + 3*f + 15, l + u*l + 2*f = -11. Calculate c(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-126)\/(-72) + (-10)\/(-8). Solve -2*k - 5*p + 7 = k, -c*p = 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + -5*sqrt(121)*1 + (2*sqrt(121) - sqrt(121))*4 + sqrt(121))\/(sqrt(99)*1 - sqrt(33)\/sqrt(3)*-3) + 4.\nAnswer: sqrt(11)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-7) - (-2)\/(-7). Let t(i) = 12*i + 7. Let u be t(-1). Let b be 204\/(-240) - u\/4. Sort 2\/13, b, h in descending order.\nAnswer: b, 2\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - g + 8, 0 = -2*n - 4146*g + 4141*g + 24 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 4)*(-3)\/(-3). Suppose -a = w*a. What is the third smallest value in 0.3, a, -2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2)*(2*u**2 - 3*u**2 + 0*u**2) + (4 + 3 - 6)*(u + 0*u + u)*(-3*u + 5*u + u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 6:10 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thhisshtbtttthsbi. Give prob of sequence shi.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137356609 and 338?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115 - 106. Solve 2*t - 3*h = -l, 2*h = 5*h - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 21 = 9*t. Suppose 0*o = -4*o - 5*j + t, 0 = 5*o + 5*j. Is o at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -1)\/2 - -2. Suppose -k*i = 2*i - 12. Let x = i - 3. Is x greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5132821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -10*j + 5*j. Let d(k) = 14*k**2 + 8*k - 7. What is the tens digit of d(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3889*g - 275*g - 38*g.\nAnswer: 3576*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -20, 5*y + 2*v = -15 + 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 43, 743, 3.\nAnswer: 1, 3, 8, 43, 743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48609010*p**5 + p**3*t - 2*p**3 + 703589*p**2*t + 45*p*t wrt p?\nAnswer: -2916540600*p**2 + 6*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3 + 4561*i**2 + 11418*i - 6849 = 0?\nAnswer: -3, 1\/2, 2283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*c = 4843 - 126. Solve -47 = -34*y + c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**3 + 18292*b**2 - 54848*b + 36560 = 0. Calculate b.\nAnswer: 1, 2, 4570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4089\/(-564) - (165\/(-25) - (-3)\/5)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**7*h*h**(-4\/11))**4 assuming h is positive.\nAnswer: h**(-236\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/39 - (98\/91)\/(-7). Sort -15, d, 2, -2, 20 in ascending order.\nAnswer: -15, -2, d, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 46*h + 10. Let k be m(-3). Let s be -10*(-3)\/(-9)*32\/k. Which is the nearest to 0.1? (a) s (b) -0.1 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 16, 0*h = -4*v - h + 20. Suppose -3*w = -5*g - 21 - v, 4*g = -12. Factor a**2 - 28*a**2 - 5*a**2 + 4*a**w + 64.\nAnswer: 4*(a - 2)**2*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5961 and -1207.\nAnswer: -7194927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/11)\/((-64)\/(2048\/(-48))).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 18*n - 215. Suppose -5*t + 179 - 119 = 0. Let a be c(t). Solve 0 = -6*s - a + 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/189 - 44\/189. Suppose -3*o = -4 + 1. Let x = 85 + -679\/8. Which is the closest to -1? (a) r (b) x (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19543002?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n + 9. Suppose -n*z - 9 = -4*m - 52, -z - 3*m + 36 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36174158?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12730167 - -21430167. Round c to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3619, -7256, -10935, -14674, -18491?\nAnswer: -22404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -5*w - k - k, -2*w + 4*k - 60 = 0. Let s = w + 19. What is the least common multiple of 15 and (-210)\/(-12) + s\/(-2) + 0?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*v - 8 - 9, 0 = 2*i - 2*v - 18. Which is the closest to 1? (a) 6 (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.051 + 8.951. Let v = 8.806 - w. Round v to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5510 = 5*t - 2*q, t - 3*q - 1380 = 0. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = 3*j - 7*j. Let y = -31 + j. Suppose 2*g - 5*i = 0, -2*g = 3*i - y + 6. Let m(s) = 3*s - 7. Calculate m(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0 + 3, 4*m - 2*j - 18 = 0. Let z(a) = 2*a**3 - a**2 + a. Let t be z(1). Solve 2*w = -5*g - t, 7 = -5*g - m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 1. Let v be r(7). Suppose 0 = -b - 2*p - v, 3*p + 9 = -0*p. Let h be 19 - (-1 + b - -1). Solve 5*u + h = -3*y, 0*u + u = 5*y - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 552 + (-1)\/(-12)*0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6505324939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**5 - 1481*h**4 + 51739*h**3 + 347369*h**2 + 657750*h + 363600 = 0?\nAnswer: -1515, -3, -2, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 4, 130, 2\/9, -3\/104?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 93.33292 weeks?\nAnswer: 56447750.016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2216? (a) 3\/8 (b) -2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 74 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 63 - 12 - 20 - 17 - 5*z.\nAnswer: -5*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24070 and 362065.\nAnswer: 60102790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 572.\nAnswer: -1\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*x - 276*x = -169*x - 1176 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14.67 and 51158.103.\nAnswer: 51172.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 3*g**2 + 1969515*g - 1969515*g + 12.\nAnswer: 3*g**2 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 - 60 + 4)*(-6 + 5 + 9)*(-1 - 2*s + 1) to g*s + n and give g.\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2318, -2327, -2342, -2363?\n\"Answer: -3*v**2 - 2315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(288))**2 - (sqrt(2) + ((sqrt(162) + -1 + sqrt(162))**2 - sqrt(162) - sqrt(162)))) + (sqrt(2) + 0 + -1)*4.\nAnswer: -365 + 57*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 + 1.95. Let n = 1.65 - c. Is -7 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/(-125))\/(-2*3\/(-30)). Let r = -47.4 - -8.4. Let w = -390.2 - -390.1. What is the third smallest value in w, r, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y + 138 - 39 = 0, -14*d = 3*y + 2*y + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -227 - -243. Suppose 0 = t*q - 24*q + 96. Solve -3*d - d - q = 2*b, 5*d = 5*b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 27 - ((-10 - -17) + -13 - -18)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 55770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eepi when four letters picked without replacement from {p: 5, i: 10, e: 4}?\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 1. Suppose -v = i + v - 1, 4*i + 4*v = 0. What is p(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.116403118 to five dps.\nAnswer: -0.1164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 950 = -93*g - 5*c, c + 6*c + 62 = -5*g + 4*c for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-21) + 80\/35. Suppose k*v - 68 = -0*v. Calculate the remainder when (0 - -1)*1 + v is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.4 and -372.1144.\nAnswer: -370.7144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -303963 divided by -1?\nAnswer: 303963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 60. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 9:42 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-j - 1 + 1)*(2*j + j - 2*j) + 12*j**2 + 6*j**2 - 7*j**2)*(-2*j**2 + 2*j**2 - 16 - 2*j**2) as l*j**3 + r*j + i*j**4 + y + p*j**2 and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855 - 384 = -157*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 56\/(-12)*18*9\/(-6). Is 128 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*20*54\/(-24). Let v = 45 - y. Solve 2 + v = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1791*q**4 - 5 - 28 + 1776*q**4 wrt q?\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -13) + -12 + 49?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-11)\/3 + 3)*-6. Solve v*b - 2*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 - 5*s + 3. Suppose -4*l = -75 + 63. Suppose l + 45 = 12*d. What is the lowest common multiple of b(4) and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from fskksssskspu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1171069, -2342137, -3513205, -4684273, -5855341?\n\"Answer: -1171068*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 7. Let n be x(-13). Solve -4*p = w - 9, 4*w = -3*p + 2*p + n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 197976 and 4231664?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 594 and 6?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -2 (c) -115488\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from inwyqbb. What is prob of sequence yinb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/(-198))\/((-3285)\/(-108405)).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1869.378 - 14.972\nAnswer: -1884.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/12*1\/6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 148.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33295 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2)*(-6 - 0). Suppose -5 = l, l = -a*w - 3*l - 41. Let q = w + 5. Are q and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1477 = -0*d + 3*d - 4*p, 2485 = -5*d - 5*p. Let i = d + 1281. Let y = 12569\/16 - i. Calculate the common denominator of 61\/4 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -2*u + 7, -138*k + 5 = -135*k + 4*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -24*m**2 - m - 3. Let q(u) = 7*u**2 + 312*u + 1024. Let k be q(-41). Determine l(k).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5133 and 348.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 4:10 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 4*c - 9, -130*c - 133*c - 69 = 17*j + 137*c - 403*c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 0 = 9*u - 18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(2 + 3 - 3). Solve 2*n = 2 - r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*y + 234*y - 235 = 292*y - 987 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4404414580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-0.32.\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 4, -7, -5, 42 in decreasing order.\nAnswer: 42, 6, 4, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 1916956961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1304, -3044, -5922, -9932, -15068, -21324, -28694?\nAnswer: -37172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((256\/(-112))\/(-2)*-1)\/((-2)\/28).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/(-48)*(3 - (-150)\/(-32)). Determine l, given that -3\/4*l**4 + 0 + 3\/2*l - g*l**3 + 3\/2*l**2 + 3\/8*l**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + 2*y**4 + y**4 + (-2*y**2 - 1 + 1)*(-6*y**2 + y**2 + 4*y**2) + (1 - 1 + 2)*(3 + y**4 - 3).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30.673 + -86.21. Let j = a + 117. Let b = j - -7.083. Round b to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/5)\/(((-27972)\/(-555))\/(-42))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -702*z + 2037 + 46*z - 2484. Is a(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297 + 304 + 26*g - 906 + 305.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 178\/3 - 176\/3. Which is the closest to f? (a) 2 (b) 8.6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i + 0*i**2 + 1\/3*i**3 + 0. Let r(x) = 2*x**2. Give r(b(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**5\/30 - 15*h**2 - h. Let x(a) = -69*a**2 - 1. Calculate x(o(i)).\nAnswer: -276*i**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3483 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -66, -166, -330, -558, -850?\n\"Answer: -32*y**2 - 4*y - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 take away 727903839?\nAnswer: -727903849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*s - 35 = 0, -3*s - s = -3*a + 32. Suppose k + 978 = 3*k - 2*l, -l - a = 0. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.16893 - -8.33477. Round a to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 552 and 48162.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 - 4*x - 4. Let k be 0\/12 - -243*3. Let d(z) = 726*z - 3 + 0 - k*z - 2*z**3. Calculate -4*d(w) + 3*m(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -4*g - 5*x, 5*x + 14 = -g + 2*x. Suppose -43 = -5*c + 5*z - 23, -2*z + 10 = 0. Calculate the lowest common multiple of c and (3\/g)\/((-3)\/45).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-2 + 11))*(-58 + 6030\/105).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001985318 rounded to 6 decimal places?\nAnswer: 0.001985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 12*d**2 - 10*d - 7. Let n be m(11). Suppose -4*g = -2*z - 26, 5*z + n*g = -29 - 78. What is the tens digit of 2\/(1 + 17\/z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1571834 is divided by 708.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -22*a**7 - 139*a**3\/3 - a**2 - 36. What is the third derivative of m(q) wrt q?\nAnswer: -18480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2095, -2100, -2105, -2110, -2115, -2120?\n\"Answer: -5*m - 2090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -904*c**2. Let n(f) = -101*f. Calculate n(b(h)).\nAnswer: 91304*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = -o + 15*q - 17*q, 4*q - 896 = -4*o. Calculate the remainder when o is divided by 74.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = g - 250, 5*g = 2*g + 4*j + 760. Let u(z) = 233 - g + 0*z + 4*z - 6*z. Let r(o) = 2*o. Calculate u(r(s)).\nAnswer: -4*s - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(189\/(-12))*7\/10\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*m = d - 122, -5*m - 25 = 0. Let f = 36 - d. List the prime factors of ((-9)\/f)\/1*-30.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 64*p + 23 = -69*p, 0 = 4*p + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -688608 = -4*d + b, 4*d - 688600 = 185*b - 186*b. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-75)\/(-4) - (-2)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*z - 7*z + 74256. Calculate the least common multiple of 126 and z.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/30)\/r*r*r*r*r\/r**(2\/17)*(r\/(r\/r**(-4)*r))**(1\/16))**48 assuming r is positive.\nAnswer: r**(10621\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8*o + 7100 = 0. Let s(n) = 710 + 5*n - o. Let y(t) = 5*t**2. Give y(s(f)).\nAnswer: 125*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15956100*k + k**2 - 15956100*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*l**2*m**2 - 68*l**2 + 646*l*m**2 + 8*m**2 - 2135 with respect to m.\nAnswer: 66*l**2*m + 1292*l*m + 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 1:58 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25973919?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 + 673*p**2\/2 - 6805*p\/2 + 17075\/2.\nAnswer: (p - 5)**2*(p + 683)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-2) + -4 - 3. Let t = n - -4. Suppose g - 20988 = 3*d + t*g, 0 = d + 2*g + 6992. What is d rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79381 + -79366. Let z(j) = j**2 - 12*j + 3. Let w be z(12). Sort s, 1, w in descending order.\nAnswer: s, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 > 42717\/2156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-206)\/42 - (-36)\/(-378).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**8\/1680 + f**7\/1260 - f**5\/120 - 11*f**4\/24 - 6*f**2 - 5*f. Let d(o) be the second derivative of x(o). Calculate d(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461916 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2448 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 4:06 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -27037.35 - 7\nAnswer: -27044.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3869 is divided by 177?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 45.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 15*t + 11 = 1310*y - 1315*y, -1 = 3*y + 4*t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**3\/3 - 13*t - 201. Determine l(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1594\/(-5579) + ((-84)\/665)\/((-7)\/10).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**3 - 2*m**2 + 2*m. Suppose 0 = -3*y - 2*s + s + 10, 0 = 4*y - 4*s + 8. Let w(x) = 9*x**3 - 4*x**2 + 5*x - 1. Calculate y*w(g) - 5*b(g).\nAnswer: -2*g**3 + 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*c + 2*c. Let q(a) = 2*a - 3*a**c - 2*a**3 + 3*a - 4. Let l(h) = 4*h**3 - 4*h + 3. Determine -3*l(s) - 2*q(s).\nAnswer: -2*s**3 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-42)\/(-98) + 1187\/7.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*b = -2*u + 1131, 0 = -3*u + 5*b + 1759. Let x = -352 + u. What are the prime factors of x?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758735 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: Expand (1 + 1 - 3)*(10 - 10 + 10*z).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 40\/3 + (-2)\/(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23588 - 1273877\/54. Calculate the common denominator of 3783\/(-52)*(-1)\/9 and u.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8909510, 8909508, 8909506, 8909504, 8909502, 8909500?\n\"Answer: -2*i + 8909512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 - 9) - -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-2449)\/(-79) + -1 + 6.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 7969395*g**2 + 3175558848600*g + 3175566818000.\nAnswer: 5*(g - 796940)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 - 14*q + 36. What is h(4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 177414.5 minutes?\nAnswer: 10644870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11, 62, 135, 208, 281, 354?\n\"Answer: 73*s - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -1 (c) -0.4 (d) -21.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-1.15\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*t - 45 = -2*g, -3*g = 2*t + 43. Let y = -31 + 22. Let c = y - t. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.238, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n**3 - 1. Suppose -12*i - 5 = -7*i. Calculate z(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivpvielii. What is prob of picking 2 v?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -56663.7 and -0.031388.\nAnswer: -56663.731388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p - 18 = 0. What is the remainder when p is divided by -1 + 7 + -3 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4063\/48 - -339\/4. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 824099, 1648166, 2472205, 3296216, 4120199?\n\"Answer: -14*b**2 + 824109*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (20 + -21 + -62)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 6*c**2 + 7*c + 7. Let p be t(-7). Let s = -15 + 11. Let m = 3 - s. What is the highest common divisor of p and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 711476 - -17?\nAnswer: 711492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*w**2 - 37*w**2 - 41*w**2 + 2.\nAnswer: -18*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 28 = -2*j + 7*j, -5*j - 30 = 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 970629828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = i - 2*l, 2*i - 2*l - 17265 = -17283 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 364639.9 seconds in nanoseconds?\nAnswer: 364639900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2971, 2972, 2973?\n\"Answer: r + 2970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85916.\nAnswer: 2, 47, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - r - 3*r)*(r + 2*r**2 - r) + 10 - 20 + 9 - 10*r**3.\nAnswer: -12*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 12 + -25 - (2 + 3) - 28?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2111000022 (base 3) to base 11\nAnswer: -33780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*c - 20. Let d be (-41)\/(-1) + c + 2. Let p = -35 + d. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = l - 10. Suppose 40*d - l = 39*d. Suppose -5*n = d*s - 41500016, n - s = s + 8299992. What is n rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43573 (base 12) to base 14.\nAnswer: 245a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -78, -110, -142, -174, -206?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40\/41317 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 69, 94?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2. Let z(l) be the third derivative of 0*l**3 + 63*l**2 + 2\/15*l**5 + 0 + 0*l + 0*l**4. Determine c(z(g)).\nAnswer: -192*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 5) to base 16\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*p - 235484, 0 = -0*s - s + 3*p - 117743. Let g = -298740 - s. Round g to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/6))\/(q*q*(q**(2\/11)*q)\/q))**2\/((q\/(q**(-1\/4)\/q))**(6\/19)*q**(1\/10)*q\/q**(4\/5)) assuming q is positive.\nAnswer: q**(-9533\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1249323 is divided by 312328?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -27, -95, -213, -387, -623, -927?\nAnswer: -1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 4*l**2 + 4*l**3 + 6*l**2)*(-4*l**2 + 2*l**2 + 16*l**2).\nAnswer: 56*l**5 + 14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.5 - -12239147549.\nAnswer: 12239147545.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = 148\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*r - 16*r + 8*r.\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 14 + 5. Solve 0 = w + g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 7. Let t be u(-9). Suppose 3*y - 66 = -3*c, -c + 0*c = t*y - 20. Suppose -4*b = -4*h - c, 2*h = -b + 6*b - 42. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.349 + 10.449. Is -0.01 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**2\/9 + 112768*i\/9 + 9098240\/3 = 0.\nAnswer: -240, 28432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.846 - 0.046. Let h = 0.2 + y. Which is the nearest to 0? (a) -1\/4 (b) 0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -844 bigger than -846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slsl when four letters picked without replacement from ssssslsscsccsssclsls?\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 28112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 125523 + -126b?\nAnswer: 124274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-9)*(-2 - 1). Suppose 5*c + 20 = -q, 3*c + 4*q = 3 + r. Let f(v) = -v**3 + 2*v**2 - 2*v - 2. Is f(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -28 + 5 + 8 + 11 + 9. Let h(o) = -o - 5. Calculate -3*a(v) - 2*h(v).\nAnswer: 2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19, 23, 27?\n\"Answer: 4*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 4*f + 135. Calculate the greatest common factor of 18 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 divided by 42173.\nAnswer: 85\/42173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(1\/2)\/l*l)\/l)\/l**(2\/23))**(17\/2) assuming l is positive.\nAnswer: l**(323\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5062\/165 + 336\/11. Let j = -2 - -1.5. What is the nearest to 2\/3 in z, j, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 5*t**2. Let g(z) be the third derivative of 0*z + 11*z**2 + 0*z**4 + 0*z**3 + 0 - 1\/60*z**5. What is a(q) - 5*g(q)?\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -284*m**2 - 288*m - 4 = 0.\nAnswer: -1, -1\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 48 (b) -1.23 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 - 1520*a**3 - 173280*a**2 - 8779520*a - 166810880.\nAnswer: -5*(a + 76)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -1\/30*b**5 + 1\/40*b**6 + 0*b**4 + 0*b + 1\/6*b**3 + 3*b**2 + 0. Give t(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 916*s - 3648. What is t(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10*h + 189. Let v be j(-10). Let o be 8\/(-32) + 361\/4. Are v and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-12))\/((-4)\/16))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-1*sqrt(288) + sqrt(288)) - sqrt(288)) + (sqrt(288) - sqrt(288)*2*6))**2 - (5 + 1 + sqrt(288) + -4).\nAnswer: -12*sqrt(2) + 41470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 947*a + 22730. Let h be q(-24). Let t(u) be the third derivative of u**5\/20 + u**4\/12 - u**3\/2 - u**2. Calculate t(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/(-65) + (-8)\/(-5). Let x(y) = y**2 + 7*y + 2. Let w be x(-7). Suppose -r*s = w*s - 32. Solve -2 + s = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -2984301.\nAnswer: -13\/2984301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -10) + -2 - -2 - (90 - 101).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*u + 0 = -6, -5*r - 3*u = -19. Solve 2 = r*d - d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/5 - 27*s**3 - 1065*s**2 - 12245*s - 211554\/5 = 0.\nAnswer: -73, -46, -9, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 21. Let h(i) = i - 10. Suppose 5*z - 1 - 6 = k, -4*z - 7 = -5*k. Let b(o) = o - 9. Let y(a) = k*b(a) - 2*h(a). What is y(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n - 4*n - 2*n + (0 + 2 - 1)*(4*n - 3*n + 2*n) + (-2 + 6 - 2)*(-4*n - 3*n + 5*n) + 1 + 3*n - 3 - 4*n - n - 3*n + 2*n to the form k + v*n and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 301326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 5810.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2921 (b) -4 (c) 1\/6 (d) -2.3 (e) 1 (f) 2\/7 (g) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckkkkckc. Give prob of picking 2 k.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 < -1\/1612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 8*s - 5*l + 25 = 0, 104*l = 109*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 + -70.88.\nAnswer: -81.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -77 in 6, 9, 525?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y + 20. What is b(-12)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20318 is divided by 656.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -320e (base 16) in base 3?\nAnswer: -122120121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -66 + -17 + 60 - -28.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-18)\/243)\/(8\/(-72))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1175*f + 103*f - 38*f - 156*f.\nAnswer: -1266*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/((-35)\/42 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.4 - 6.4. Which is the nearest to -1\/2? (a) 2 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15105295, 30210599, 45315921, 60421267, 75526643?\nAnswer: 90632055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2314955 - 1.068498. Let c = 0.96 + 0.34. Let q = c + t. What is q rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39487538.\nAnswer: 2, 19743769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03645, 5, 16, -0.4?\nAnswer: 0.03645","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-20)\/(-6)*(-3)\/(-4)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 993 and 174768.\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.022 times -26481\nAnswer: -582.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 16*l - 1. Let t(p) = p**3 + 3*p**2 + 3*p + 3. Let y(u) = -u + 14. Let f be y(16). Let i be t(f). Give q(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(2 + -1 + -2). Let y be (-77)\/(-28) - (-3)\/s. Find the third derivative of -2*v**y - v**6 - 12*v + 12*v wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 8300.\nAnswer: 58100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 7:40 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.353 in -0.5, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-27) - (-4)\/(-18). Suppose 0 = g + 3 - 12. Let n = 7 - g. What is the biggest value in i, -3, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -0.119, 2\/15, -3\/7.\nAnswer: -3\/7, -0.119, 2\/15, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75216?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1044 - 1121. Which is bigger: -76 or g?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -3*q**4\/4 + q**3\/3 - 2*q**2 + 2. Let p(o) = o**3 + o**2 + o. Let z(s) = -4*p(s) - 2*y(s). Find w such that z(w) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-1\/2)\/v))**(2\/103)\/(v\/(v**(2\/5)\/v*v)*v\/(v*(v*v**(-5\/6))\/v)) assuming v is positive.\nAnswer: v**(-4279\/3090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - c - 16 = -5*c, 9 = -n + 2*c. Differentiate 14*h**2 + n - 6 - 6*h**2 wrt h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**2 + 4*p - 2. Let x be u(-2). What are the prime factors of -30*(1 + x)*-1?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15491, -30940, -46385, -61826, -77263, -92696?\nAnswer: -108125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 426000 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 550 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*a = 32, 2*a - 5*a - 43 = -4*c. Solve 2*o - 8*o = -c*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -y - 48, -5*y = 2*a - 3*a + 12. Suppose -a = -5*h + 2*g, -3 = -2*h + g + 1. Suppose -t - 7 = -2*l - 2*l, 4*t = -h*l + 12. Is -1\/6 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -652010, -2608020, -5868032, -10432046, -16300062, -23472080, -31948100?\n\"Answer: -652001*c**2 - 7*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 665\/72402 or -1?\nAnswer: 665\/72402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2 - 2 + 0 + 7. Let f(w) = -w - 1. Let q(n) = f(n) + u(n). Let x be 15\/6*112\/(-140). Let d(v) = v - 2. What is x*q(l) - 3*d(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**5\/8 + 131*f**4\/8 + 67*f**3 + 135*f**2\/2 = 0.\nAnswer: -2, 0, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = 2. What is the third biggest value in -4, 0.16, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a - 21. What is the remainder when i(-17) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.59 (b) -3 (c) 2 (d) -52\/9 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-3\/5))\/c**(-4\/5)*c**(-2\/3)\/(c*c*c\/(c\/(c*c\/c**8)*c)))\/((c*c**(-1\/2)*c)\/c**(1\/7))**48 assuming c is positive.\nAnswer: c**(-6133\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 12}. Give prob of picking 3 a.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 188*z**2 - 918*z + 5. Determine i(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + b = 20, -m + 2*b + 1 = 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*l = 130, 8*z - 9*z + 5*l + 2 = 0. What is the lowest common multiple of 90 and z?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 + 6 - (-3 + -7 + 12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1536.51416 - -1\nAnswer: -1535.51416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.31 - -7.25. Let g = u + -5.4. Let c = g + -0.16. What is the third smallest value in c, -3, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 306 in -3, -1\/618, 1\/4, -5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/1)\/((-26)\/(-143)*1)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - 2) + 3 + -64 + 67?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 16 - 5 - 5 - 39*v + 2*v**2 + 16. Let i be s(19). Solve i*w = 4*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x + 0*x - x)*(0 + 6 + 2 - 1).\nAnswer: -70*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 3\/8, 266.4, -1528?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202375.\nAnswer: 5, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 23, -1 in descending order.\nAnswer: 23, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 420? (a) 2\/207 (b) 3 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128 - 60. Suppose b + p = -2*p + 82, 4*p + m = b. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18343, -37047, -55769, -74515, -93291?\nAnswer: -112103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21523314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4 + 15\/6. Solve g*d = -3*l, -9 = 3*l - d + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 4173851?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214 a factor of 170877267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-180))\/(3*280\/(-189))?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 + 64. Solve a = -t + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 972248*n**3 + 972147*n**3 - 3*n - 1944392*n**3.\nAnswer: 3*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-1 - 0\/(-1)). Let z = d - -3. Suppose -z*v + 10 = -v. Calculate the smallest common multiple of 4 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18001 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -485 by -5.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 40 + 2*f**2 + 8 + 23*f + 8 + 7. Let t be d(-18). Calculate the greatest common factor of 27 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1072 and 109\/1340.\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 12*c + 11. Let p be m(5). Is ((-2530)\/165)\/(p + (-10)\/6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2199\/2 + 1087. Sort a, 6, 2\/3 in increasing order.\nAnswer: a, 2\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1965, 1999, 2045, 2109, 2197, 2315?\n\"Answer: z**3 + 27*z + 1937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 992\/(-60)*27\/6. Which is smaller: s or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - l + 142. Let f(a) = -2. Let j(v) = 2*f(v) - g(v). Let m be j(12). Let k(i) = -i**3 + 11*i**2 - 10*i - 10. What is k(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12.8 and -1.19.\nAnswer: -13.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -39815 (base 12) to base 14\nAnswer: -20a9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 487960961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 24 = -0*t - 3*h, 20 = 3*t - h. Let x be (-2)\/t + -3 - -2. Which is the second smallest value? (a) x (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2334429 + -1001390. Let x = t + 5625819. What is x rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 0*p + 5*i + 9, -3*p - i = -11. Let r(x) = -x + 5. Let q(l) = 4. Give p*r(b) - 5*q(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/7037415?\nAnswer: -4\/7037415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-194)\/12 - (-848)\/53?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 21. Suppose -3*w + 12 = 0, -g*o - 2*o + 5*w - 20 = 0. Solve 0 - 2\/9*h**3 + o*h**2 + 0*h = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 1 - -24 - (1 - 5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175968367 is divided by 221.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/(-35))\/((-4)\/(-60)). Let v be (1\/3)\/((-7)\/(-21)). Solve o - v = -n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776.142476 rounded to 0 decimal places?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9184 = -8*q + 4*q. Let i = 27\/5633 + 103821607\/45064. Let b = i - q. What is the common denominator of b and -47?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 53512?\nAnswer: -5350e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 b when four letters picked without replacement from {p: 4, b: 2, s: 1, v: 10}.\nAnswer: 12\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (444\/1554)\/(13\/(-7))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - (0 + sqrt(720)))**2 - (1 + sqrt(10)\/sqrt(2)))*6.\nAnswer: -6*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73.07 - 73. Let r = n + 9.93. Let i = -117\/4 - -29. Sort r, -2\/5, i in ascending order.\nAnswer: -2\/5, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295 = -9*t + 268 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 4:55 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than 3167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4.56103 * -0.5\nAnswer: -2.280515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*g, 12 = -3*n - 0*g + 5*g. Let k = n + 11. Suppose -39 = 3*w - 7*w - 3*x, 3*w - 5*x = -7. Solve 0 = a, 3*j = -0*j - k*a - w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnx when three letters picked without replacement from cwrnx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 2*g - 1224. Let q = 107 - g. Let o = -93 - q. Solve -3*i - 2 = -k, -i - o*k + 2 = -19 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82266 by -2.\nAnswer: 41133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010011110101111110 (base 2) in base 3?\nAnswer: 1122002021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 6:34 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4*5\/(-4))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.9 + 21.9. What is the nearest to 2\/7 in -2\/17, y, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -303*k**4 + 106*k**2.\nAnswer: -7272*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -2\/3 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 8 = 0. Suppose -2*d + 5*j = -19, -3*d - 3*j + 41 = 2*j. Let v = 16 + d. Calculate the highest common divisor of v and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 370.\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1*(sqrt(11) - sqrt(176)) - ((sqrt(11) + 1)*5 - sqrt(11))**2))*2.\nAnswer: -398 - 74*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365767 is divided by 824?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/5)\/(n\/(n*n**(5\/3)*n)))**(5\/2)\/((n\/((n**(-3)\/n*n)\/n)*n\/n**(-3\/5)*n)\/(n*n**(-3)*n**5)) assuming n is positive.\nAnswer: n**(77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*q - 176*q - 274*q = 182*q - 33116 for q.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 12:51 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -9. Put 1.1, v, -0.5 in decreasing order.\nAnswer: 1.1, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 1\/6*q**6 + 0*q**3 + 0*q**5 + 0*q - 4 - 1\/4*q**4 + 0*q**2. Factor t(x).\nAnswer: x**3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*x + 79 + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.5, 1\/2, 4 in increasing order.\nAnswer: -0.5, -0.3, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -1. Solve -3*w + 4 = u, -2*w + 3 - 6 = -l*u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a. Let b(m) = 3*m - 5. Let s be b(3). What is c(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 451 + -316. Let x = -70 + l. What is the remainder when x is divided by (23 - (2 - 2)) + -1?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(2\/(-2) + 2). What is the second derivative of h**3 - j*h + 2*h + 2*h**3 wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -22, -23 in descending order.\nAnswer: -4, -22, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1724390071 to the nearest integer?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 58?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2620 and -3.\nAnswer: 7860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + 6*a + 28 + 6 + 0*a in the form w + f*a and give w.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - 9. Find the common denominator of -85\/12 and (-249)\/12*6*(-1)\/v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + -3.3. Let u = -2.5 - -0.5. Let s = 356.5 + -357. What is the second biggest value in r, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 9*c**2 - 11*c + 11. Let a be (13\/3 - 1)*3. Let s be q(a). Differentiate -s + 2*o**4 + 2 - o**4 with respect to o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.88 + -215530695569.\nAnswer: -215530695570.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96706 - 97740 = -94*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 322 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/4922 and -91\/69938.\nAnswer: 172117418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1000111010 (base 2) to base 5\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*w + 132*w - 133 + 438 = -87 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -136, -284, -442, -616, -812, -1036?\n\"Answer: -n**3 + n**2 - 144*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 - 5*x**2 + 40*x + 88. What is m(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {g: 9, p: 2, y: 2, l: 5}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 12:15 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 + -7 - 3\/(-1). Suppose 1 = -f*r + 16. Suppose 0 = -r*y + 308 + 226. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**2 + 6*g + 1. Let j(l) = l**2 + l. Let s(d) = -11*j(d) + 2*u(d). Let n(q) = -3*q**3 + q - 1. Let z be n(1). List the prime factors of s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 4*l - 2, -l - x - 4*x = 27 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (42*20\/(-400))\/((-6)\/5)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -21. What is the closest to -11 in 0.4, k, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.4 - -5. Let h = -1969 + 1582.2. Let q = h + 387. Which is the closest to -2\/13? (a) -0.01 (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62181 and 86240?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2008, -2666, -3764, -5302?\nAnswer: -7280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3541423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + -2. Let r = c + 9. Find the second derivative of -z + z**4 + 4*z**4 - 4*z**r wrt z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1390, -1281, -1172?\n\"Answer: 109*l - 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 121324 divided by -7\nAnswer: -17332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*b + 133*b + 2*v + 1975 = 0, 4*v - 1552 = -4*b. Calculate the remainder when b is divided by 97.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*s**6 - 2*s**5 - 613*s**4 + 1806056*s**2?\nAnswer: 7200*s**3 - 120*s**2 - 14712*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 + 72. What is the nearest to 2\/5 in -1\/6, -0.2, w?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 15) in base 3?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 243467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 - 20*c**3 + c - c + 20*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/27 and -151\/712152.\nAnswer: 712152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 90235.28l?\nAnswer: 90235280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (12 - 27 - -30)) + 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/16 + (-106)\/(-4). Let y be (-8)\/10*i\/10. Let f(x) = -3*x. Let o(d) = 4*d + 1. Let p(j) = -3*f(j) - 2*o(j). Give p(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -9)\/(-4) - -6. Suppose -5*m = 4*l - 244, 5*m - 73 = -l + 3. Calculate the highest common factor of l and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**5\/10 + s**4\/3 - 383*s**2. Let c(f) = f. Determine 8*c(m) - l(m).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u**3 + 141*u**2 - 414*u + 29. Give m(3).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -47. Suppose 2*n + 2 = y*n. Is (-1 - 236)*n\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 5, 161, -3, 1 in decreasing order.\nAnswer: 161, 65, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**3\/3 - 778*b**2\/3 + 24288*b + 182952 = 0.\nAnswer: -7, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 17 + 65 - 23 + 31 + 10*x.\nAnswer: 10*x + 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**5 + 44141*s**4 - 55741*s**2 wrt s?\nAnswer: -60*s**2 + 1059384*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/3 + -1 + -2. What is the second derivative of -4*m + 38 + 10*m - x*m**2 - 38 wrt m?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -34273, -68500, -102671, -136780, -170821, -204788, -238675, -272476?\n\"Answer: k**3 + 22*k**2 - 34300*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -4, -0.09, 0.7, -1\/4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 903193780?\nAnswer: 2, 5, 197, 229237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84560 and 10700464?\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/35 + -2 + (-200)\/125.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62847?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -1.574.\nAnswer: -1.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-2 + sqrt(891) - sqrt(22)\/(sqrt(6)\/sqrt(3)))**2 + -2)*-5*5*5.\nAnswer: -88247 + 4000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 78.55.\nAnswer: -471.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 702 - 703. Suppose s - 4 = -2*v - 0, 4 = 2*v - 5*s. Sort v, g, -5 in decreasing order.\nAnswer: v, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13930.1075 rounded to the nearest 100?\nAnswer: -13900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 943*r + 72*r + 10235 + 1945 = 0 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -2*d - 5*k - 25, -d - 22 = 8*k. Let b(a) be the second derivative of 1\/3*a**3 + 0 - 15*a + 13\/2*a**d. Let l(n) = 2*n**2. Give b(l(o)).\nAnswer: 4*o**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, q: 2, x: 8}. What is prob of picking 1 x and 3 w?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v + 2. Let k be (25\/(-75))\/((-1)\/(-597)). Let u = -117 - k. Let s = u - 80. Give l(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 711 = -2621. Suppose h + 4*h = -11820. Let j = v - h. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.283 * 0.3.\nAnswer: 0.0849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4 = -6*i + i, 5*b - 4*i = -14. Let o = b + 42. Suppose -5*m + 29 = -o. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/7)\/b**1*(b*b**(-1))\/(b*b**2) assuming b is positive.\nAnswer: b**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i + 5*i + 14 + 12*i**2 - 11*i**2 - 3*i. Let a = 8 + -14. Calculate the least common multiple of h(a) and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - w = 57603, -14406 = -x - 20*w + 15*w. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.1 + -0.1. Suppose 16*r + 176 = -6*r. Let q(s) = s**3 + 5*s**2 - 13*s + 85. Let o be q(r). Which is the third smallest value? (a) k (b) -0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**14\/p**(-6)*(p*p**(-2))\/(p*p**10*p*p*p*p))**50)**(-8) assuming p is positive.\nAnswer: p**(-1600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - r = -2*r - 76, -3*s + r = -44. What is the remainder when 447 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 24, a + 618 - 8324 = -3*o. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (3 + -2)) + -8 + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a**3 + 4*a**2 - 5*a - 5. Let o(p) = -20*p**3 + 8*p + 8. Let k(f) = -f**3 + f**2. Let g(q) = -6*k(q) + o(q). Let n = 11 - 6. Give n*g(t) + 8*s(t).\nAnswer: 2*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -57. What is the highest common divisor of c and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4145, -4859, -5555, -6221, -6845, -7415?\nAnswer: -7919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 3*x**2 + 13. Let s be j(0). Is s at least as big as 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 2*m - 5. Let b(u) = -4*u**2 - 6*u - 14. Determine -2*b(a) + 7*k(a).\nAnswer: a**2 - 2*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.33598 kilometers in meters?\nAnswer: 68335.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - y + 1201. Is w(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/49, -1, -0.2, -4\/3?\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*s - 28 = -8*s, -4*j + 5*s - 34 = 0. Let d = 14 - j. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i + 21. Suppose 231 + 21 = 237*t - 223*t. Determine w(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Calculate the smallest common multiple of 8 and 2 - (3 - 34\/t).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 24*t + 85. What are the prime factors of g(14)?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14, -17, -172, -535, -1190, -2221, -3712, -5747?\n\"Answer: -14*q**3 + 22*q**2 + q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -6. Let l = 2 + w. Suppose -33 = -5*u + 32. Solve 5*c + l = u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 - 2*h**2 - 2*h - 1. Let v be s(-1). Let n be (-15)\/9 + (-2)\/6. Is v + 2 - (n - 22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 151, 607, 1369, 2437?\n\"Answer: 153*p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.376 - 231.376. Let h = -53 - u. Let p = h - 195.1. Round p to zero dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8778 is divided by 2181.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -496*m + 1612.\nAnswer: -496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 922, 918, 912, 904, 894?\nAnswer: 882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -297763, -1191046, -2679837, -4764136, -7443943, -10719258, -14590081?\n\"Answer: -297754*y**2 - 21*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 2 + (-1)\/(-1). Let s(z) = -6*z**2 - z**2 + 3*z**2 + w*z**2. Let n(o) = 30*o. Let l(r) = 6*r. Let b(h) = -24*l(h) + 5*n(h). Determine b(s(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*t = -230*t - 60430. What are the prime factors of t?\nAnswer: 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(1\/(-49))\/((-24)\/(-28)*(-5)\/15)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -34089 (base 12) to base 11\nAnswer: -48012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/5 of a week?\nAnswer: 42336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-18) - 530\/45. Does 13 divide ((-18)\/s)\/(6\/80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4902171660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 - 3*l**2 - l + 2. Suppose 0*r = -g - 4*r + 14, 5*r - 13 = g. Determine i(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275217 (base 8) to base 13.\nAnswer: 35159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 7. Let n = q + 5. What is the units digit of 4\/n*(10 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*c = -43*c + 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2440000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 265565455?\nAnswer: -265565456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1042088 by 260522.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.673578 millilitres to litres.\nAnswer: 0.007673578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 149, 131, 113, 95, 77, 59?\n\"Answer: -18*r + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-9) + ((-2)\/3 - -4). Suppose 15*l - 55 = w*l. Let h(a) = -3*a + 2. Let b(s) = -5*s + 5. Calculate l*h(f) - 2*b(f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 7.9. Let j = -6 - -3. Let l = 2.8 + j. Which is the closest to -1\/3? (a) -5 (b) z (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -189, 3, 0 in ascending order.\nAnswer: -189, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13993.2 + -1269.2. Let p = k - 12723.979041. Let c = p - 0.021. Round c to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*t = 7148, 6*m - 7*m + 7156 = 5*t. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**4 + 35175*w**3 + 558*w**2 + 57827741*w?\nAnswer: -24*w**2 + 211050*w + 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 201607711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -4*o - 3. Let g = o + 20. Suppose -k - k - 2 = 0, 0 = 4*a - k - 141. What is the remainder when a is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 75 (b) 39 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + -1 + -2 - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 5:54 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*m - 16 = 63*m. Solve m*d + 0*d + 4*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**2 + 1 - 19 + 6 - g**2 in the form m*g**2 + b*g + a and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 24*f - 24. Let n be a(-20). Let r = -45 - n. What is the remainder when r is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5744909?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 14 = 5*g - 3*m, 4*g + 2*m - 12 = 0. Let h be (-4)\/(-10)*50\/g. Solve -2*w = -h*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 2218518270?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 - 2) - (-28 - -5 - -3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20158009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(8\/9)*u**(-7)*(u*u*u*u**(-13\/4)*u)\/u**(-15))**(-2\/19) assuming u is positive.\nAnswer: u**(-347\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -739 divided by 3583?\nAnswer: -739\/3583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - ((-90)\/42 - (-1)\/7). Let w(s) = -2*s**2 - s - 2. What is w(h)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001001111 - 100?\nAnswer: -111001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 6*h = 3*d + 2, h + 2*d - 7 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2495, -2495, -2493, -2489, -2483?\n\"Answer: n**2 - 3*n - 2493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*p - 0. Let f be (14 - p)*(-3)\/3. Calculate the lowest common multiple of 6 and (-4 - f) + 0\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6048 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 2. Let j be p(-4). Let o = -2131\/259 - -56\/37. Let f = -221\/35 - o. What is the nearest to f in 0.1, j, -1\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*1884.377.\nAnswer: -113.06262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -6*x + 14*x. Let i = 13 + -9. Suppose -m - 2*f = -i*m + 27, x*f - 28 = -2*m. What is the highest common factor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 45*p + 0*p - 18*p + 3 + 0*p.\nAnswer: 27*p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 400*z**2 + 25188*z - 753. Give m(-63).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2511, 3916, 5307, 6684, 8047?\nAnswer: 9396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*v**2 + 80*v**2 + 21*v**3)*(-v - 3*v + 2*v).\nAnswer: -42*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -45, -23219, 1 in decreasing order.\nAnswer: 1, -5, -45, -23219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3026357, 3026309, 3026231, 3026123, 3025985, 3025817?\n\"Answer: -15*v**2 - 3*v + 3026375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126414 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 3:49 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1390 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55918282?\nAnswer: 2, 7, 251, 15913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 910, 1906, 2892, 3862, 4810, 5730, 6616, 7462?\n\"Answer: -z**3 + z**2 + 1000*z - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.1 (c) -34\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 7*r - 4. Suppose -p - 3*p = 20, 0 = r*v + 3*p + 3. Suppose -1123 = v*s - 4045. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*j + 22*j + 357. What is the remainder when 28 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.4431924 less than or equal to -5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -500635\/42012 + -2\/10503. Calculate the common denominator of z and 67\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 + -66. What is the third derivative of h*s**2 - 57*s**3 + 57*s**3 - 33*s**5 wrt s?\nAnswer: -1980*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 11) + -3 + (-12 - -11) + -46\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-10) + (-801)\/(-45) - 2 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50762 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.3292 take away -621173?\nAnswer: 621136.6708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.4 or 161.5?\nAnswer: 161.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30\/(-9))\/(-5))\/((-65)\/15).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + b**2 + 3*b + 1. Let a be m(3). Let d = a + 18. Let s(t) = 11*t + 91. What is the lowest common multiple of s(-7) and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -240208\nAnswer: -240208.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 - 21*f + 7. Let y(z) = -z**2 + 10*z - 3. Give 3*n(b) + 7*y(b).\nAnswer: 2*b**2 + 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3*n + 8608*k**3 - 28*k**2*n - k**2 + 9*k*n + 6517983*k wrt k.\nAnswer: -12*k*n + 51648*k - 56*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1141885?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**3 - 89*a**2 - 79*a**2 - 88*a**2 + 256*a**2.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, z: 9}. Give prob of sequence oz.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 2. Let b be z(-6). Let v = b + 6. Find the second derivative of -v*h + 0*h**4 + 0*h - 2*h**4 wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1465 - -2298. Calculate the remainder when u is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/7))**(-21)*(o**(1\/4))**(-13))\/(o\/(o\/(o*o\/(o**2*o)*o))*o**(-6))**(-10) assuming o is positive.\nAnswer: o**(-277\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -21. Suppose m - v = -82. Let l be 2\/(-3) - m\/15. Solve 0 = y - q + 7, l*y - q - 2 = 6*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (72\/20)\/((-10)\/(-25)) + -4. Let b(v) = -32*v**2 + v**3 + 1 - d*v + 7 + 63*v**2 - 26*v**2. Determine b(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1539587170 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -6045897996279.\nAnswer: -6045897996279.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -14037000 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -1. Let g be ((-2)\/(4\/6))\/u. Sort -2, 4, g.\nAnswer: g, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 359. Let j = q + -104. Suppose 2*y - 76 = -j. What is y rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -43647?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -277 - -166. Let c = 30 - 15. What is the units digit of 3\/5 - o\/c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1485 and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -22*k**3 + 5*k**2 + 2*k - 4. Let x be s(-3). Let d be x\/11 + 6\/(-33). Let o = d + -31. What is the remainder when o is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 9412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 47. Which is the smallest value? (a) -3 (b) 0.01 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36245.2 milligrams in kilograms?\nAnswer: 0.0362452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + ((-450)\/80)\/(-3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 57708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1\/b)**(1\/17)\/(b**7\/b**0) assuming b is positive.\nAnswer: b**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1812*f + 458*f + 393*f.\nAnswer: 2663*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2448) + 1.\nAnswer: 1 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76*k**2*w**2 - 491*k**2*w + 114*k**2 - 727*k*w**2 + 2398*k*w + 42*w**2 wrt k?\nAnswer: 152*w**2 - 982*w + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + n - 102 = 0. Let f = -19 - n. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 581 divide 4529042574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Suppose 3*a - 2*s - 308 = q, -3*a - a + 419 = -s. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2770038 milligrams to tonnes.\nAnswer: 0.0000000002770038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -5 (b) 4 (c) 0.2 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 6*p + 2. Let s be i(3). Let c be s\/4 + 1\/4. Suppose -4*y = -5*x - 0*y - 2*y + 23, 4*y = -36. Which is smaller: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -4*j + 29, 0 = -4*q - 10*j + 6*j + 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 25*u - 1. Let i be z(24). Let y = i + -587. Calculate the lowest common multiple of 24 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 22*s**2 - 23*s + 47. Let x be w(21). Let -26*f**x + 6*f**3 + 17*f**5 - 18*f**5 + 21*f**4 = 0. What is f?\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d0 + -43?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2222174388.\nAnswer: 2, 3, 7, 26454457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 255816 and 3.\nAnswer: 255816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15210, 15204, 15198?\n\"Answer: -6*o + 15216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*p**3 + 224*p**3 + 243*p**3 + 246*p**3 - 1181*p**3 + 240*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -32*k + 4*k. Suppose -k*l = 2*l - 600. Is -2\/11 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q - 5*q)*(-84 + 81 - 2*q**2 + 2*q - q**2).\nAnswer: 18*q**3 - 12*q**2 + 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*(-1 + sqrt(76) + 4 - sqrt(76)))**2 + ((4 + -2 + sqrt(76))**2 + -3)*-1.\nAnswer: -8*sqrt(19) + 1948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4*u - 25 = 0, -7 = 3*g + 3*u - 37 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144818027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1973824593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/5*(-3)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -76, -3\/8, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 775 - 603 = -3*n, 20 = -4*v. Let o = 1387 - n. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 829560 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81481 is divided by 221.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 40 = -5*b, 5*l - 4*b + 15 = 70. Suppose -45 = -6*c - l. Solve 17 = c*p - 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u + 2*m = -32*u - 19, -12*m - 14 = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -6*j - 455. Let m = 42 + j. Let n = -9 - m. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -940*b**3 - 2*b**2 + b + 1. Let q be g(-1). Let x = 2025 - q. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((-1611)\/(-402) + -4). Let r = 108 - k. What is r rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 741, 1483, 2225?\nAnswer: 2967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 115, 5, -2, 6, -56, 0 in decreasing order.\nAnswer: 115, 28, 6, 5, 0, -2, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2793 + 0.03.\nAnswer: 2793.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 15. Give o(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3364 + 3364. Solve 7*g - 4*g + 3*x = -15, h = -4*x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1641572.\nAnswer: 2, 410393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65505, 65499, 65481, 65445, 65385?\nAnswer: 65295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 148769144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*d = -6*r - 12, -r = d - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 488, -1\/8, 1\/9, -2\/21, 80, 3\/11?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3594 - 4.6406. What is the second smallest value in -2, j, 0.3, -140?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1092\/952*17)\/((-4)\/(-24)*3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a*a**(5\/2))\/(a*a*(a\/(a*a**(1\/3))*a)\/a*a)**(-1\/22))**(-1\/8) assuming a is positive.\nAnswer: a**(-239\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 24 = 3*h, h + 35 = 4*g + 17. Let w(x) be the third derivative of -8\/3*x**g + 0 - 24*x**2 + 0*x - 1\/6*x**4. Differentiate w(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 1:50 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 0.0734 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 137 in 24, 6, -140?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2. Let s(k) = -24270*k. Give a(s(d)).\nAnswer: 1178065800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -52 and 229260258002?\nAnswer: 229260258054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.289 and 44442.\nAnswer: 12843.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -17. Suppose 1 = -5*q + n, 2*q = -5*z - 934. What are the prime factors of -3*(1\/3 + z\/12)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + -3 + -30 + (-2 - -54)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*k - 149*k = 490 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-8)*4*-1)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*n + 3*n + 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 4*k - 984 + 980, 15 = 5*p + 5*k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -36647631 and -0.3?\nAnswer: 36647630.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 6*r - 11. Let b be g(8). Suppose -b*o - 158 + 538 = -5*i, 0 = -3*o - 15. What is the common denominator of 174\/i + -6 + 7 and 83\/6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (248 - 183 - 145)*(-4 + 5 + 11)*(-3 + 2*y + 3).\nAnswer: -1920*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 9:16 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-759)\/4158 - (-1)\/9?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - g + 23 = -4*i, 2*i - 8 = -g. Suppose k + 2*k = -i*b + 45, b - 2*k = 22. What is the remainder when b is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - -34. Let i = w + -119\/2. Let p = 3 - 2.9. Sort p, i, -3 in ascending order.\nAnswer: i, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 123, 134, 147, 162, 179?\n\"Answer: y**2 + 8*y + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99.6 - -106.6. What is the nearest to i in 0.06, 1\/7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q - 5 = 18*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s**3 - 4*s + 4*s - 603662*s**2 + 603660*s**2.\nAnswer: 13*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/14 - ((-608)\/28 - -11). Suppose 2*v = 3*o - 1401, 8*o - k*o - 4*v = -1419. What is the remainder when o is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 2. Suppose f + 7 = a. What are the prime factors of -5 - -42 - (f - 2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one fifth of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 546165*d + 24 = -546167*d, d + 3 = -4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -30, -5, -15, 4, 6, 65 in decreasing order.\nAnswer: 65, 6, 4, -4, -5, -15, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**36 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/10 of a litre in millilitres?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/15)\/((-1)\/15). Let z(w) = -w**2 - 12*w - 17. Let m be z(t). Sort -3, m, 0 in decreasing order.\nAnswer: m, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 8*f**2 + 115 + 2\/15*f**3 + 78\/5*f. Factor t(z).\nAnswer: 2*(z + 1)*(z + 39)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 48*k. Let j(z) = -4*z**2. What is u(j(v))?\nAnswer: -192*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 47*n**2 + 38*n - 10. Is f(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -406, -1169, -2324, -3877?\nAnswer: -5834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.27 + -46.27. Let a = -46.2 - z. Is -1 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14423 (base 5) to base 8\nAnswer: 2326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13395697*j**4 - j**2 - 93637*j - 20?\nAnswer: -321496728*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n - 9. Let i be g(-6). Suppose p + 4*l = 8, 2*l - 14 = -0*p - i*p. Sort p, -5, -1 in decreasing order.\nAnswer: p, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/49*28\/12.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*b**4 + 7*b**4 - 6*b**4 + 4*b - 2*b**4 - 4*b + 0*b**4 - 3*b**4 + 2*b**4 + (3*b**4 - b**4 + 0*b**4)*(0 - 2 + 0) - b**4 + b**4 - 2*b**4.\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, -114, -312, -594, -966, -1434, -2004, -2682?\n\"Answer: -g**3 - 33*g**2 - 14*g + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 226, 1623, -47, 2 in decreasing order.\nAnswer: 1623, 226, 2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*v**5 - 5047*v**4 + 1722*v**3 + 3618*v**2 - 2403*v + 405 = 0 for v.\nAnswer: -15, -1, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 582*c**3*u**3 + c**3*u**2 - 5*c**2*u**3 + 5*c**2*u**2 + 64*c*u**2 wrt u?\nAnswer: 3492*c**3 - 30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3949*p**2 - 23354*p**3 - 3949*p**2 + 4933*p**3.\nAnswer: -18421*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (11\/(-2) - -4)*-2. Suppose -w*h + 314860 = 6014860. Round h to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 0. Suppose -b*f + 7 = -4*f. What is the units digit of f + 23 - (-1 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 1\/24*k**5 + 1\/140*k**7 + 1\/48*k**4 + 0*k + 7\/240*k**6 + 0 - 43*k**2 + 0*k**3. Let m(d) = 0. What is d?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(31\/(2790\/36)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.38.\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393.\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, e: 4, x: 5}. Give prob of sequence nxx.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 41\/6, 0.5, 274, 5, 2\/15, -0.05?\nAnswer: 41\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105621 + 35162 + 35232 + 9*m**2 + 35227.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(245)*1 + sqrt(245) - ((sqrt(245) - (-2 + sqrt(245) + sqrt(245))) + 3))**2.\nAnswer: -336*sqrt(5) + 2269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/660)\/(23\/(-115))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g\/(g**(-15\/7)\/g)*g)*g**(12\/11) assuming g is positive.\nAnswer: g**(-312\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*p = -262, 3*m - 3*p = -5*p + 266. Let d = m + -29. What are the prime factors of d?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 e when four letters picked without replacement from ggmggxxegexexxmgg.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -121518*w. Let t(b) = -35*b**2 - 2. Calculate l(t(x)).\nAnswer: 4253130*x**2 + 243036","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1467\/2 in 50, 2, -2\/5, 1\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 12 = 3*z, 2*z + 2*c = -z + 27. Suppose 2*a = z*a - 60. Suppose -a = w - 14. Sort w, 1, -4, 0 in increasing order.\nAnswer: -4, 0, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 641702 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -656510237 + -9.3.\nAnswer: -656510246.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6d - -3208?\nAnswer: 3275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -66. Let a = s + -34. Suppose -h + h**3 + 0 + 1\/2*h**4 - 1\/2*h**a = 0. What is h?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -198 - -112. Let v = s - -170. Calculate the remainder when v is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:18 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 11:11 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 16. Let i be l(-18). Sort 0.17, i, -1.\nAnswer: i, -1, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**0\/v*v)\/v**(5\/4)*(v**(-2\/5))**(-15) assuming v is positive.\nAnswer: v**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6924 and 244071?\nAnswer: 976284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7346 = -446*u - 6926 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 604 + -420. Suppose -y = -61 - r. What is the greatest common divisor of y and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*a. Suppose a = -2*o + 3*u + 21, 0 = o - 2*u + 4*u. Let z(y) = -y**3 + 7*y**2 - 6*y - 1. Give z(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**2 - 64*o + 256 = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90\/13 + -502\/65. Let b = 127\/2 + -61. Put b, l, -0.4 in descending order.\nAnswer: b, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61.994 and 0.1.\nAnswer: 6.1994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 5) to base 2.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * -1.071228\nAnswer: 1.1783508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14.8184 - -0.768\nAnswer: 15.5864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 18 + 18. Let l = t - -18. Solve 3*f = 3*a - l, 2 - 24 = -4*a - f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 + 0)*(-3*a + 0*a + 4*a) - 1 + 1 + a + (-3 + 5 + 7)*(a - a - a))*(a**3 + a**3 + 0*a**3).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1)*(-1 + 4). Find the second derivative of t*c + c**3 - 11*c**2 + 11*c**2 wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 706815591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 5:22 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**16\/m)\/m)\/(m**(1\/16)*m)*m**(12\/11)\/(m*m**(-19)) assuming m is positive.\nAnswer: m**(5637\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -302, -1188, -2664, -4730, -7386, -10632, -14468?\n\"Answer: -295*a**2 - a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2770722243 to the power of 1\/2, to the nearest integer?\nAnswer: 52638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 6*g + 18. What is k(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, k: 6}. Give prob of sequence kkkk.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 49.9. Let o = k + -52.1. Let h = 51.4 + o. Which is the closest to 0? (a) -4 (b) h (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109\/45448 + 125\/494. Calculate the common denominator of m and -143\/138.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**4 - r**4 + 3*r**4 + (-2 + 3 - 2)*(-r**4 + 1 - 1) + 4*r**2 - 4*r**2 + r**4 + (4*r**2 - 3*r**2 + 0*r**2)*(6*r**2 - 10*r + 10*r).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -149.59 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 - 40*h**2 - h + 42. Give g(20).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -259*z + 248*z + 77 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*((x*x**(1\/5))\/x*x)\/x)**40)**(-35)\/((x**4\/x**(-1))\/((x\/(x**2\/x))\/x*(x**(-2\/19)\/x*x*x)\/x)) assuming x is positive.\nAnswer: x**(-32036\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*y = 322*y + 5, 2*y = -4*n + 11334. What are the prime factors of n?\nAnswer: 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 2, o: 1, z: 1, v: 1, u: 1}. What is prob of sequence ui?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9992.444 centuries in years?\nAnswer: 999244.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 2:33 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1077 divide 177455704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 2098.\nAnswer: 4\/1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*n*s**3 + 32*n*s + 291*s**3 - 245 wrt s?\nAnswer: 144*n*s + 1746*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.39 - 0.3. Let c = -1.51 - -1.4. Let n = c + d. Sort n, 0.3, 3 in increasing order.\nAnswer: n, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/52774 - -3060843\/369418. Let l - 6\/7*u**2 + 172\/7*u = 0. What is u?\nAnswer: -1\/3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1435115451 - -4?\nAnswer: 1435115455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1, -504901, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 69 + 14 + 3056*y + 41 in the form s*y + g and give s.\nAnswer: 3056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*g + 40 + 0 = 0, -2*g = -o + 6. Let z(r) = -2*r + 2. Let m be z(o). Suppose -5*i + m = -3*i. What is the lowest common multiple of 11 and i?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51489703?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 135*n**2 + n + 37. Let q(b) = 2*b. Let m(k) = q(k) - v(k). Find the second derivative of m(w) wrt w.\nAnswer: 6*w - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 469, 940, 1413, 1888, 2365, 2844?\nAnswer: 3325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(35)\/sqrt(500) - ((sqrt(252)\/sqrt(144))**2 - sqrt(28)).\nAnswer: -7\/4 + 12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*(v**0*v)\/v))**(-10)\/(v**1\/v**(1\/3)))**19)**(-38) assuming v is positive.\nAnswer: v**(1444\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*r + 125 + 1, -25 = -n - 5*r. Suppose 315*q + 20 = 320*q. Calculate the greatest common divisor of q and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 1193?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -6 + 4. Let i be -1*(-4)\/(-4)*-11. Suppose 7*o + 8 = i*o. Solve s - o*b = -3, -4*s - x*b - 3 = -7*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -17*v + 765. What is u(54)?\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716 is divided by 64?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + 6 + -8 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - (0 - -1)) + 3. Suppose -g + n = -n - 6, 0 = -4*g - n + x. Suppose -4*r = -5*b - 47, -r = 4*b - 2*b - g. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/20)\/(3\/2). Let b = -18046\/19 + 950. Let i = -3\/76 - b. Sort l, -3, i.\nAnswer: -3, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 + 76*n**3 + 36*n**2 - 2700*n + 5400.\nAnswer: 4*(n - 3)**2*(n + 10)*(n + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8644912 divided by 4\nAnswer: 2161228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**6\/4 + 6*z**5\/5 + 33*z**4\/8 - 13*z**3 - 48*z**2 - 48*z + 327. Determine m, given that v(m) = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b = t + 24*b - 12, 0 = -4*t - 4*b + 8. Let x(d) = -4*d - 36. Calculate x(t).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2. Let z(m) = -1. Let u(k) = -f(k) - z(k). Let y(n) = n**2 - n - 14. Let h(a) = -6*u(a) + y(a). What is the least common multiple of 14 and h(5)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -42899, -42897, -42895?\n\"Answer: 2*l - 42901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 + 42 - 83 + 56*k to c*k + j and give c.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 4*z**2 + 12*z - 1\/3*z**4 - 4 + 0*z**3. Let b(u) be the first derivative of l(u). What is the first derivative of b(a) wrt a?\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(5) + (sqrt(5)*-2 - sqrt(5))))\/((1*sqrt(11) + sqrt(11))*4).\nAnswer: -sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 3)*(-4069*k + 10039*k + 631*k)*(1 + 1 + 1) as o*k + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.23082225 + -2.231. What is y rounded to 6 decimal places?\nAnswer: -0.000178","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13500)\/85500 - (169\/38)\/((-3)\/(-66)).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -8. Suppose s + 5 = -k, -p*s + 7 = -2*k + 2. Let v be (-34)\/16 - k\/2. Which is the second biggest value? (a) v (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 12:13 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 126*s**2 + 375*s + 750. Let u be g(-123). Solve 5*o + i + 24 = 0, 2*o - 2*i = -3*i - u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 867 + 1156. Let k = t - 1123. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/22 or 9445.78?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44544638461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -4 (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1158 + -1147.29. Round c to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (14 + 3 + -32) - -27\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 37365*z**3 + 11 - 12 + 64375*z**3 - 2*z**2 + 5*z**2.\nAnswer: 101740*z**3 + 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2353621*c**2*q**3*r - 777*c**2 + c*q**3*r - 250*c*q**3 with respect to r.\nAnswer: -2353621*c**2*q**3 + c*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1002101220?\nAnswer: 1002101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2367100*x**2 + 2*x + 319725.\nAnswer: -4734200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - 10)*5*(-3 + 2). Solve -4*f + p = -2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4937899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-6*40\/15 + 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819641 is divided by 269.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 0, -6 in decreasing order.\nAnswer: 0, -6, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 6*d. Calculate u(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**2 + 110*l - 200 = 0. Calculate l.\nAnswer: 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 0.1, 5, -0.0147?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -4) + (-3 - (5 + -15)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0060207 to 4 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/45 - 114009\/2745?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 6. Let d be s(-6). Round d to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/7 or -9.6?\nAnswer: -9.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-361\nAnswer: -72.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 68 = 23. Let r(u) = u**2 + 10*u + 13. Let y be r(c). Sort y, -3, 0.\nAnswer: -3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3532 (base 12) in base 8?\nAnswer: -13466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39200)\/(-4400)*(-33)\/6.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -208*w + 119?\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/5 - 231144*z**3\/5 + 891013632*z**2 - 106788538368*z\/5.\nAnswer: 3*z*(z - 38512)**2*(z - 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.7 + 1.7. Let u = -10.08 - q. Let t = u + -0.02. Which is the biggest value? (a) 5 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 46.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 8*x + 4. Let r be f(8). Calculate the remainder when (10\/r)\/(-5)*-82 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2.4, -6\/11, -0.02, -3\/11 in decreasing order.\nAnswer: 2.4, -0.02, -0.2, -3\/11, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**4 + 7814*y**3 - 4023*y**2 - 3*y + 4 wrt y?\nAnswer: 24*y + 46884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*t + 2036 - 2036 to the form n + p*t and give p.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 10:51 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -240.4 to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*l + 1704 + 1001, -2725 = -3*l + z. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6779?\nAnswer: 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 - (-2 - (-3 + 3))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 16 - 19 = 0. Let d(o) be the second derivative of -o**3\/6 - 3*o**2\/2 + o. Let m(s) = -s - 4. Calculate t*m(b) - 6*d(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/17839 - -2265517\/321102. What is the common denominator of 67\/158 and q?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-9)*c*c)\/c)\/c**1*(c\/((c*c**9)\/c))\/(c\/c**(5\/3)))**(-43) assuming c is positive.\nAnswer: c**(2107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166787 is divided by 33357.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, e: 2, l: 2, s: 10, w: 1}. What is prob of sequence es?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + v - 9. Let u be s(-5). Find the second derivative of -u*g + 3*g**2 + 11*g**2 - 23*g**2 wrt g.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 977.8225 centuries to decades.\nAnswer: 9778.225","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -331260?\nAnswer: -331260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 1377?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-7)*(-27)\/(-54).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6455 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -22.1. Let g = 2\/51 - -32\/51. What is the nearest to 1 in s, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 + 0*p + 481*p**3 - 476*p**3 - 3*p + 3*p**4 - 9 + 7 in the form c + m*p + j*p**2 + k*p**4 + o*p**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g**2. Let d(a) = -11*a - 38142*a**2 + 4*a + 38127*a**2. Give d(k(y)).\nAnswer: -960*y**4 - 56*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1446 - 1413. Solve 20*t - l = 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23540663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38022769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2498*f**2 - 19*f - 48. Is 23 a factor of g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2730 + 6878. Let l = 1359 + v. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 894.999627 - 895. What is h rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1639\/5, 4, -411 in decreasing order.\nAnswer: 1639\/5, 4, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -296.\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5676 + -3516. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6)*3*1. Let k(m) = m**3 + 6*m**2 + 2*m - 17. Let u be k(-5). List the prime factors of u\/(a + (-275)\/265).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a**4\/2 + 99*a**3\/2 + 111*a**2\/2 + 45*a\/2 + 3 = 0. What is a?\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4558 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) 328 (b) -4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1032 and -7.\nAnswer: 7224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*t - 101*t - 32 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.27 - 2.73. What is the biggest value in b, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1052\/74 + 2*-1. Let i = c + 5\/148. Calculate the common denominator of i and 61\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31.04 + 31. Let f = -2.96 + g. Sort 0.03, -5, f in increasing order.\nAnswer: -5, f, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 8*t**5\/3 + 452*t**4\/3 + 6038*t**3\/3 - 9745*t**2\/3 + 4988*t\/3 - 841\/3 = 0.\nAnswer: -29, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**10)**(-2\/41)*m**(1\/74)\/(m**1\/m**(3\/2)) assuming m is positive.\nAnswer: m**(39\/1517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 974450916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, l: 4, v: 5, j: 1}. Give prob of sequence blb.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/10*-5)\/(10850\/(-2604))?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 7:51 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -0*i + 3, 0 = -5*f + 2*i - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 2. Suppose 0*f = 3*f + 6. Let p be b(f). Let w be p\/(-6) - (-7)\/3. Solve -5 = 4*t + w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*j + 45 - 100 + 56 to the form z*j + p and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10*o. Let c be j(-3). Suppose c = -g + 36. What is the highest common factor of g and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 12645869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + 8. Let n be (-4)\/l - 148\/(-28). Sort n, 4, 2 in descending order.\nAnswer: n, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11*2 - (1 - 56\/(-14)). Let w(m) = -m + 1. Let k be w(-5). Suppose 0*a + a - k = 0. Solve 3*d + 2*i = r, -2*d + 3*i - a = -0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -349.9 + 350. Which is the second biggest value? (a) 1 (b) q (c) -1 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 209\/18060 and -64\/9?\nAnswer: 54180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -525, -1048, -1571, -2094, -2617?\nAnswer: -3140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 805058687?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w + 4. Suppose -2*o = w*o + 4*x + 4, -3*x - 9 = -3*o. Let a(j) be the second derivative of -j**4\/4 + j**2\/2 + j. Calculate a(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1994 + -1997. Sort i, -184, 1.\nAnswer: -184, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*t**2 + 20 - 10 - 7 in the form i*t**2 + v*t + c and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 111732973 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 7*x + 3. Does 11 divide h(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) -6 (c) -0.07 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 1 - 1)*(4*u + 12*u + 3 - 7*u).\nAnswer: 18*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6957 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167442972 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**2 - 3832*q - 508164 = 0. Calculate q.\nAnswer: -799, -159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4 (b) 1\/5 (c) 4\/15 (d) 10\/3 (e) 89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -256 - 2 - 0\/(-1). Let a be i\/(-21) + 8\/(-28). Suppose -4*c + a + 52 = 0. Calculate the smallest common multiple of 2 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1 - 13 = d, -4*d = -3*h + 29. Suppose 0*f - 2*g = 3*f - 9, -f + h*g + 3 = 0. Suppose 1615 + 892 = 2*l - p, f = -3*p. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7410.1776 rounded to 0 dps?\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*v + 2\/5*v**3 - 34\/5 - 38\/5*v**2.\nAnswer: 2*(v - 17)*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (80\/(-30))\/(20\/(-12)). Factor 0 - x*t + 8\/5*t**2 - 2\/5*t**3.\nAnswer: -2*t*(t - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oj when two letters picked without replacement from {m: 1, n: 1, a: 2, o: 2, u: 1, j: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -445+363859\nAnswer: 363414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100 - -101101110110111000011?\nAnswer: 101101110110110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33a (base 15) to base 12.\nAnswer: 50a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -757931, -1515153, -2272375?\n\"Answer: -757222*r - 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -159*r - 957. Determine m(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/7 (b) 2\/13 (c) -313940 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 467780491 and 13.\nAnswer: 467780504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 11*w - 49. What is the remainder when 115 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2007 + 16562. Is 29 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from mmmmhhmmmmhhmhmmmm?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 422 - 424. Calculate the remainder when 57 is divided by (140\/25)\/(u\/(60\/(-6))).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 510205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - (2 + 0)\/(-1). Suppose y = 5 + d. Let w = y + -13. Let n(i) = i**2 + i. Let b(r) = -2*r**3 - 2*r**2 - 4*r. Give w*b(g) + 4*n(g).\nAnswer: -2*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**2 + 625*l + 2420 = 0?\nAnswer: -121, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101703 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(70) + (sqrt(70) - (sqrt(70) + sqrt(70)*-4*-5 + sqrt(70)))))\/(5*sqrt(40) - (sqrt(80)\/sqrt(128) + sqrt(10))).\nAnswer: -80*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37660 - -37659.7. Suppose 4*v + 3 + 1 = i, 5*i = 20. Which is the nearest to v? (a) 4 (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**5\/9 - 8*h**4\/9 + 4*h**3\/9 + 8*h**2\/9 - 2*h\/3 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 880444.1\nAnswer: -1760888.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(3) - (sqrt(3) + 1 + sqrt(3) + -4))*3 - (((sqrt(99)*-1 - sqrt(99) - sqrt(99)) + sqrt(99) - sqrt(99))\/sqrt(11))\/(-1*sqrt(3)*2))**2*6.\nAnswer: -216*sqrt(3) + 921\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-20))\/((-2)\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**3 - 34*u**2 + 51*u + 374. Give b(-12).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 1 (c) -2\/43 (d) -2236\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2200213 + 1002321?\nAnswer: -1131232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -15*o**3 + 0*o + 0 - 315*o**2 - 1\/60*o**5 + 39\/70*o**7 + 0*o**4 + 0*o**6. What is the third derivative of r(m) wrt m?\nAnswer: 2808*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = -l - 7*x, -x = -5. Let g = 31 + l. Suppose 3*n = -g*d + 32, 0*d + 4*d = 16. Calculate the greatest common divisor of 12 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/4)\/((-3)\/2) + 10. Suppose 3*z - x = 25. Solve z*n - 11*n = -4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**3 - 5*g**2 + g. Let i(u) = 15*u**2 + 3*u**3 - 30*u**2 + 13*u**2. What is 2*f(x) - 5*i(x)?\nAnswer: -x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t. Let r(n) = -8267*n - 65*n**2 + 8267*n. Calculate u(r(h)).\nAnswer: -130*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4754071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -402*y + 2002. What is m(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75896040 rounded to the nearest ten thousand?\nAnswer: 75900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 1 - 0)*(-6325)\/550. Is n greater than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-7 - 26\/(-4)). Suppose 3*n = h*n - 105. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**3\/3 + 2*n**2 - 11*n + 1. Let t be a(-6). Suppose -4*h - 5*j = -10, -h - 5*j + 10 = 4*h. Is h less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 3:29 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from svwgpnnpnnswnnnsnsww?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-120)\/25)\/(-6)*(-210)\/(-2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3*x - 3*j**3 + 269*j**2*x - 2*j**2 - 2*j*x - 179*j + x + 1 wrt j?\nAnswer: 6*j*x - 18*j + 538*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v - 1. Let o be a(7). Let d = 24 - o. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 10*d + j = 1, 4 = -2*d - 5*j. Let i be 2\/10 + (-2)\/10. Suppose 3*a - 15 = -u + 19, -4*u - 56 = -4*a. Solve d*x = -i - a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*r**5 - 197 - 1065*r**3 - 235 - 663*r**4 + 1074*r - 259377*r**2 + 260472*r**2 = 0. What is r?\nAnswer: -72, -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*(-1 + sqrt(500) + 5 + -5 + 2).\nAnswer: 10 + 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 3*m**2 - 3*m**2)*(-10 - 14 - 2).\nAnswer: -52*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87)\/261*1\/((-5)\/18)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - 0) + 14 + -4 + -18 + 8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1348019734.825 - -15.\nAnswer: -1348019719.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 13. Let z be u(-7). Suppose z - 27 = -g. Suppose 3*r = -g*r + 309. What are the prime factors of r?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36\/285395 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, j: 6}. Give prob of sequence jjxj.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 6*n + 9. Let t be k(-6). Suppose 4*a - 4*b - 55 = b, t = 2*a + b. Suppose a = 2*v - 0*v. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 384266 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11872625.\nAnswer: 5, 19, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*17\/(-765))\/(((-506)\/(-18))\/(-11)).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3801227 to three dps.\nAnswer: -2.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33644453\/126 + -267018. Let d = 20\/179 + -902\/11277. Let q = k + d. Put 0, q, -2\/5 in decreasing order.\nAnswer: q, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.44746 + -23.6414677. Let t = -24 + 23.806. Let n = q - t. Round n to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 12833*s + 38359. Calculate n(-3).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3012150847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9780*r + 492*r**2 + r**3 - 19568*r + 9788*r)*(5*r**2 - r**2 + 0*r**2).\nAnswer: 4*r**5 + 1968*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/(-8) - (-31)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*(1*sqrt(65) - sqrt(65))*3)\/(1*(sqrt(720) + sqrt(720)*2)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 0.04, -5, -372.\nAnswer: -372, -5, -3, 0.04, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1179 by 1.\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1\/7 (c) 6 (d) 1\/2 (e) -15\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 0.377108 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a (base 11) in base 16?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from {t: 4, l: 7, k: 1, p: 2, h: 2, x: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r - 2. Suppose 2*j = -4*t - 2*j + 48, 3*j - 47 = -4*t. Suppose t = -5*x + 4*n, -x + n - 5*n - 7 = 0. Does 8 divide b(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, b: 12}. Give prob of sequence bb.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*i**3*y + 3*i**3 - 1285*i**2*y - i**2 + 20*i*y + 300*i + 2*y + 42 wrt y?\nAnswer: -5*i**3 - 1285*i**2 + 20*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-10)\/75*-15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -6*v. Let s(y) = y**2 - y + 4. Let g be s(0). Solve 0 = f - v - g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 1. Let b be c(5). Let o(w) = 5*w - 1. Let x be o(b). Suppose 25 = 5*l - p, -2*l - 2*p + 3 + x = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 254.06 - 251. Let w = j - 3. Let a = 0.04 + w. What is the closest to -1\/2 in a, 0.3, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 200 = 52. Suppose 24*o = 22*o + u. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4434493?\nAnswer: 7, 277, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g, -4*i + 6*g = 3*g - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1431574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1030146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -94 - -37 - -54 - (21 + 0)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18197.3 rounded to the nearest one hundred?\nAnswer: -18200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 3932*c - 163380.\nAnswer: -(c - 3890)*(c - 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -63 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12986 is divided by 4327.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - u = u - 204, -u = d - 52. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 13*u**2 - 14*u + 3. Let t(k) = -k**3 + 13*k**2 + 13*k - 1. Let y(b) = -3*c(b) - 2*t(b). Give y(14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 6) to base 14.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59537 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1767.5, -3, 2\/69 in descending order.\nAnswer: 1767.5, 2\/69, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 131*j. Let d(f) = 4*f + 14. Determine z(d(c)).\nAnswer: 524*c + 1834","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/2*(-784)\/(-42). Let c = -23 - o. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1739 + -32?\nAnswer: -1770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*l**3 + 11*f*l**2 + 4*f*l - 1890*f + 315*l**3 + 2*l**2 - 2*l - 3 wrt l?\nAnswer: -6*f*l + 22*f + 1890*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1872253.17 seconds to days.\nAnswer: 21.669596875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*m + 279*m + 4871883 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2762, -5347, -7932, -10517, -13102?\n\"Answer: -2585*n - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 210*w**3 + 12 + 4*w - 208*w**3 - 2*w in the form f*w + u*w**2 + l*w**3 + s and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-12)\/(z*(z*z\/(z**(-27)\/z))\/z))\/(z**(-2\/19)*z*z*z**6) assuming z is positive.\nAnswer: z**(-948\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 4*o - 235. Suppose -u + o = 3*j, -u = u + 2*j - 100. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*v + 51, 5*v - 2*k - 21 = 12. What is the remainder when 205 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9833\/821 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9570 and 1870.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -158 times 440333\nAnswer: -69572614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -330620 by 1.\nAnswer: -330620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*g - 3*g + 4*s, -2*s + 2 = 0. Suppose 2*p + g*p - 18 = 0. List the prime factors of (-4)\/(16\/(-28)) + p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 7*v**4\/24 + v**3\/3 - v**2 + 1. Let s(r) be the second derivative of d(r). Differentiate s(n) wrt n.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/36 and -69\/286.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 5*f**2 - 4*f**2)*(f - 4*f + 2*f)*(0*f - 2*f - f - 4 - 2*f + 4 + (5*f - 4*f - 2*f)*(-2 + 1 + 2) - f + 4*f - 2*f - 1 + 1 - f).\nAnswer: -30*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122200210 - -1101?\nAnswer: -122122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 124*u + 2*u**2 + u**2 + 130*u)*(-3*u**2 - 6*u + 6*u).\nAnswer: -9*u**4 - 18*u**3 - 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 - 3*g - 2. Let n(v) = -2*v**2 + 3*v + 3. Let m(t) = 2*t - 39. Let j be m(18). What is j*n(r) - 4*w(r)?\nAnswer: -2*r**2 + 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 7, -4, -2153.\nAnswer: -2153, -4, -3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 957822, 1915637, 2873452, 3831267, 4789082, 5746897?\nAnswer: 6704712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c - 5 - 3*c**3 + 4 - 55*c**4 + 53*c**4 - 6*c as f*c + t*c**3 + a*c**4 + m*c**2 + g and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 46. Suppose 15 = 5*v - 0. Suppose -10 = s - z - v, 2*z = -2*s - m. Which is the closest to -3? (a) s (b) 2\/9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -197, -193, -187, -179?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/503996 and 59\/6184?\nAnswer: 1007992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 83*j**3 + 73*j**2 - 6*j. Let o(v) = 166*v**3 + 145*v**2 - 11*v. Let f(b) = -11*a(b) + 6*o(b). Find the third derivative of f(g) wrt g.\nAnswer: 498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48097492 is divided by 7553.\nAnswer: 7541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-5*j**3 + 3*j**3 + 4*j**3) - 6*j**3 + 3*j**3 + 5*j**3 - 463*j**3 + 572*j**3 - 3*j + 3*j - 1609*j**3.\nAnswer: -1494*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (1 - 6 - -12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 (base 12) in base 8?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 11*t + 22. Let z be g(-13). Calculate the highest common divisor of 120 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 - (-1 - 21 - -30).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302203?\nAnswer: 11, 83, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/3*h**2 + 0 + 5*h.\nAnswer: -5*h*(h - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-155)\/186*(-4)\/15\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 5*d + 18, 89 = -5*d + 69 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62374 - -134963. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3696 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 v when three letters picked without replacement from vyyyvyyvyv.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 801 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-1)*15\/9. Let j = n - 1. Let l = j + 27. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -199 + 411. What is the tens digit of (-3)\/((-224)\/c - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168108, 336192, 504276, 672360?\nAnswer: 840444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnddyddnyyyyhadyyhny. What is prob of picking 1 n and 1 y?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.7 (c) 172 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3817465*f + 4098725 wrt f?\nAnswer: -3817465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 688994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -4, 83 in descending order.\nAnswer: 83, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from msfsmsasayaysxs.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.468\nAnswer: 0.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*y + 9631 = 0, d - 2*y - 1405 = 1009. What are the prime factors of d?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 37*w + 161638. Give y(421).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -q + 6. Suppose 7755 = -4*k + 7879. What is the remainder when k is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*x - 31, 48 = i + x - 5*x. Suppose 54*g - 228 = 35*g. Solve -i = 4*k - 4*s, 2*s - g = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 - -16. Let u = p - -32.002. Let q = u - -0.198. Sort q, -1\/5, -0.02 in descending order.\nAnswer: q, -0.02, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-10))\/(1*-1) - -7. Let k be -2*1 + (4 - 0). Suppose k*v - 20 = -8. What is the highest common divisor of v and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4\/(-6) + 11186\/(-15))\/(20\/(-250))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express a**4 + 2*a**3 + 24*a - 457*a**2 + 460*a**2 - 1 - 23*a as z*a + s*a**3 + w + m*a**4 + q*a**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 158253 (c) -4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/10677 and 69\/10.\nAnswer: 106770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9470 divide 706862065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -533 and 115083 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 18\/4 - 19\/(-38). Let l be (3\/6)\/((-1)\/18). What is the third smallest value in -1\/8, l, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 7*v + 1. Suppose 3*t + r - 23 = 0, -t - 2*r + 4 = -2*t. What is m(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19240 divided by -5?\nAnswer: -3848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1301*f - 46908. Calculate d(-36).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 86021528 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -49. Suppose 1 + 2 = 3*r - 3*o, -r = o + 3. Let i = r + k. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 18 + -4 - (-4 + -5 + -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -3\/5, 0, 0.05, 1\/10, -0.122?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1657?\nAnswer: -2\/1657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 139 - 136. Let o = -5\/18 - -43\/90. Determine b, given that 1\/5 + 3\/5*b + 3\/5*b**2 + o*b**r = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6488803 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1\/9, -11, -1, -1\/2897, 2\/7, -1\/2?\nAnswer: -1\/2897","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -241542*x**3 + 2*x**2 - 2*x + 45403 wrt x.\nAnswer: -1449252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 45*u. Calculate the smallest common multiple of 200 and t(30).\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 8*z + 1. Let w be a(-9). Is w*1\/(-2) + 587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4173.4 + -4173. Sort -10, t, -2, -3\/2, 4 in descending order.\nAnswer: 4, t, -3\/2, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -655 = 16*b - 799 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7134 + 3738. Let f = -7079 + i. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 825258851.\nAnswer: 14221, 58031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90898329 by -1934007.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/1853 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/72 and 83\/99.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 21*x**2 - 53*x + 22. Calculate u(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7272053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g + 0*g)*((-4 + 5 + 1)*(-3*g + 3*g + g) + 3*g - g + 0*g - 3 + 3 - 2*g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5*c - 8, 0 = 2*y - c - c - 4. Differentiate -41 - 5*m**2 - 51*m**y + 8*m**2 + 30 wrt m.\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24, 52, 94, 156, 244, 364, 522?\n\"Answer: y**3 + y**2 + 18*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155196619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from {m: 2, n: 2, w: 4, v: 1, o: 5}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**5 + 117*t**4*y + 47*t**2*y + t*y wrt t.\nAnswer: -60*t**2 + 2808*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(891)*1 + -4 + sqrt(44)\/sqrt(4) + (2*sqrt(3993))\/sqrt(3))**2.\nAnswer: -264*sqrt(11) + 11995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -6. Let a be (-2)\/c*-1*3. Suppose -a*q + 6 = -2*u - u, -2*u - 13 = -5*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/39 and -4\/169?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7\/565 + 579\/1130. What is the closest to b in 0, -1\/3, -1.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 1776, 2\/27, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 10. What is the units digit of f(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*w - 13*w + 60*w - 388 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 + (4 - (-1 - -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00287103 to four dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 1\/8*x**4 + 0*x - 12*x**2 + 0*x**3 + 0. Let b(a) = 9*a. Determine t(b(f)).\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o**2 + 95*o - 329. Determine q(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1827765*z**3 + 2607938?\nAnswer: 5483295*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*k - 6 + 3, m = 3*k - 12. Which is the second smallest value? (a) 0.1 (b) m (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6 + 2*f + 2*f**3 - 12*f - 10*f**2 - 3*f**3. Let x be (-67)\/7 + (-4)\/(-7). Let n be j(x). Which is the smallest value? (a) n (b) 5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2868 + 2994 = -9*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -313937889*g**2 - 9442661*g - 10 wrt g?\nAnswer: -627875778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4844998*z + 16. Let n be c(8). Suppose 4*r = 10*r - n. What is r rounded to the nearest 100000?\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -d + 16, -4*j + 8 + 4 = 4*d + 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7*(3 + -6) + 1.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -25, 0.5, -236, 294?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 50 = -123*s + 82 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/18 + 19\/36. What is the biggest value in 4, -0.2, -0.9, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*o - 10, 0 = 4*z + 2*o - o. What is the units digit of (46\/(-2))\/z + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -16*g + 476. Let p = 20 - 14. Suppose g*b - p = 32*b. Solve -b - 1 = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3589510*i**3 - 8706623*i.\nAnswer: 21537060*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54416*i - 54475*i = 2183 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeea when four letters picked without replacement from {z: 2, a: 3, e: 1, h: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*f + 3 = 1, -5*d + 1 = -f. What is the third derivative of 69*h**2 + 948*h**6 + d*h**5 + 2*h**5 - 945*h**6 wrt h?\nAnswer: 360*h**3 + 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174*g**6 + 2*g**2 + 137 wrt g?\nAnswer: 20880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**3 - 46*h**2 - 6*h + 6. Let s(r) = -r**3 - r**2 + r - 1. Determine -c(b) - 6*s(b).\nAnswer: -b**3 + 52*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22775323 to the power of 1\/2, to the nearest integer?\nAnswer: 4772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 - 146. Is (-3)\/9 + (-11264)\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -132392 or -132401?\nAnswer: -132392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 3*v + 2*m + 4 = 0, -5*m - 27 = -v. Let l(o) = 3*o**2 - 2*o + 1. Calculate the remainder when l(1) is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6*33\/(-2). Let q = y - 7. Is (-1)\/2 - (-222)\/q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w - 6. Let b be h(-2). Let o be (-38)\/b - (-6)\/(-8). Let n(s) = s**2 + s - 2. Let t be n(-2). Solve v + 1 + o = t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 4. Let m be j(5). Let o be (0 - 2) + (-1)\/m. Let f = o - -9. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10220212002 + -12100022?\nAnswer: -11010012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150007 is divided by 150004.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1080 - 19*y**2 + 223*y + 355 + 356 + 367 as d*y**2 + g + h*y and give h.\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 466799069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyyylccyyyyc. What is prob of sequence cll?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 68*t**2 - 143*t + 364. Give c(70).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 233 - -8?\nAnswer: 23b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4853? (a) -0.2 (b) 2 (c) 332\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 353410?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 1\/5*w**2 - 6\/5*w + 8\/5 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 y when three letters picked without replacement from {y: 9, w: 9, n: 1}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 15 = -2*q. Let f(u) = -4*u**3 + 0*u + u**2 - 2*u + 3*u**2 + 3*u**3 - q. Calculate f(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**6\/240 - r**5\/30 - r**4\/12 - 22*r**2. Factor o(y).\nAnswer: -y*(y + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 15*h + 405 - 286 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*t + 64*t + 21*t + 20*t - 141*t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -1\/2*h**2 + 2*h + 0. Let s(j) = j. Let q be (-6 - (-1 - 1))*7\/14. Determine q*w(o) - 2*s(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**4*o - 36*h**4 - h**3*o + 8*h**2*o + 42*h - 2*o wrt h.\nAnswer: 24*h*o - 864*h - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.5, -0.1, -44\/5, 4, -4 in ascending order.\nAnswer: -44\/5, -4, -1, -0.1, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o + 3*o + o**2 + 6*o + 3 + 9. Let c be r(-3). Let m be ((-4)\/(-10))\/(4\/40). Solve -2*v = c*n - 3*v + m, 0 = -2*n + 5*v - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(-1\/7)*u)\/(((u**(-9)\/u)\/u)\/u*u))**17)**(-11))**(-45) assuming u is positive.\nAnswer: u**(757350\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((-17072)\/16896 - (-2 - (0 + -1)))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -28*-1.364\nAnswer: 38.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/792634 and -117\/10.\nAnswer: 3963170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 11*u + 54. Let m(w) = 2*w + 1. Let h(o) = 3*m(o) - t(o). Let l be h(-9). Which is the third biggest value? (a) -4 (b) -0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -439*h**2 - 1918 - 542*h**2 - 381 + 3*h - 4*h + 79 wrt h?\nAnswer: -1962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.3 - 6.44. Let m = c - -0.14. Sort m, -2, 1\/9.\nAnswer: -2, 1\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -79937*w**2 + 11*w - 164. Let d be k(7). What is d rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 82840.\nAnswer: -13\/82840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -156 + 179. Suppose -2*n - 4*f = -5*n + h, 0 = -4*n - 3*f + 64. Solve -j = 3*j - 2*q + 2, 4*j - n = 5*q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/5 in -46, 1\/5, -0.26, -2\/5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 2*w + 180, 3*m - 129*m + 5*w - 4*w + 7302 = 3*w for m.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + (-2 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 a, and 1 x when three letters picked without replacement from {a: 6, y: 1, z: 4, x: 3}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 828 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -278322 by -12651.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 17 - (-2 + 2 + 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153076*b*g**2*j - 3*g**2*j - 46712*j wrt b.\nAnswer: -153076*g**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/(-285))\/(40\/128*4).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514702753 - -5?\nAnswer: 1514702758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*(-3*sqrt(175)*2 + (sqrt(175) + 1 + sqrt(175))*-1).\nAnswer: -240*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -224*c + 360*c - 134*c. Let p(f) = 265*f + 4. What is n(p(l))?\nAnswer: 530*l + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-210)\/(-8) - (-2)\/(-8). Suppose n + 3*p + 5 = 0, n - q = 4*p - 3. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 11439*y + 1161864.\nAnswer: -3*(y - 3912)*(y + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 11. Let b be w(6). Let n(r) = -r**3 + 12*r**2 - 10*r - 9. Let g be n(11). Suppose 3*q - 8 = -g*a, -2*q - 20 = 4*a - 9*a. Sort b, a, -4.\nAnswer: b, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 1:49 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 2826 = 139*r + 26*r for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**2 + 135. Let z(h) = -145*h. Give z(f(v)).\nAnswer: -290*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h - 99. Let s be n(0). Let p = 500 - 227. Let i = s + p. List the prime factors of i.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -25048\/3903?\nAnswer: -25048\/3903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -11*d**3\/3 + 199*d**2\/2 + 26*d + 3. Let y be u(7). What is the highest common divisor of y and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/180)\/((-10)\/(-8))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*h**5 + 22*h**5 + 23*h**5)*(3 - 1 - 6).\nAnswer: -120*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k - 3. Let s be c(-2). Let m = 9 - s. Let y = m + -2. Solve -y*o - 20 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 0. Let r(o) = o. Let n(m) = m. What is k*n(p) + r(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*6*(sqrt(396) - (sqrt(396)*2 + -2 + sqrt(396))) - (sqrt(55) + 3*sqrt(1375) + sqrt(1375))\/(sqrt(20)\/sqrt(100)))**2.\nAnswer: -17568*sqrt(11) + 370683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9711 + 3*j + 9711.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.471 rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/((-45)\/30*(-4)\/(-6)). Solve -45*w = -50*w + z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -3 - -1) + 2. Let i = -7 - q. Let m = i + 10. Let k(l) = -5*l + 4. Let v(o) = o - 1. What is m*k(d) + 9*v(d)?\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 divided by -1152?\nAnswer: 95\/576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45910*h*m*p**3 + 5086*h + 30*p**3 + 2*p wrt m?\nAnswer: -45910*h*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcbbvbcvcs. What is prob of sequence bcs?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -117 + 62 - 23*q + 55. Let d(c) = 4*c. Calculate d(g(p)).\nAnswer: -92*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 15, 0.3, 3\/4, 5, 0.01?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 11*h + 64. Let i be s(15). Let o(g) = g**3 + 2*g**2 + 9*g - 23. What are the prime factors of o(i)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven halves of a hour?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2947 = -12548. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 0*s**3 - s**2 + 55*s - 1\/20*s**5 + 1\/3*s**4 + 0. Give p(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 79 + 209. What is the remainder when 120 is divided by k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/1809 - -1648\/291249. Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49134495 divided by -9826899.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1722 and 32598116?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 + 4*u**2 - 3*u**2 + (0 + 0 - 2*u)*(2 - 2 + 3*u) - 61 - 2*u + 46 + 13 - 606*u**2 as b*u + l*u**2 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/64*2*1*2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3328 - 3328 - 17*u**2.\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/864 and (-170)\/48 + (6\/7)\/(36\/168).\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + 4 + -4.\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 11.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(3 - (-18)\/(-8)). Suppose 4*k = 4*b - 0*k - 64, -i = b - 5*k. Round b to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -39. Is -3178*2*c\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**4 - 31844*w**3 + 286256*w**2 + 127616*w - 3053568 = 0.\nAnswer: -3, 4, 8, 7952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29.92 - 30. Let j = m + 1.08. What is the closest to 10 in 0, 1\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4114 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7709*d - 7707*d + 15413*d + 7 + 5 - 13 + 2.\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 3. Put 0, -11, b in decreasing order.\nAnswer: 0, b, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3 = -2*z. Is 1 - -71 - -2 - z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -249 by -127.\nAnswer: 249\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.93898 - 0.06102. Let t = 111\/5 - 22. Suppose m = 3*m - 2. What is the closest to m in u, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y + 27. Let j be b(-5). Suppose j*i - 585 = -3*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42855, 102087, 161329, 220587, 279867?\nAnswer: 339175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1901383, 3802755, 5704125, 7605493, 9506859?\nAnswer: 11408223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5647681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 - 0.76. Let z = -0.043355 + 0.043355. What is the closest to 1 in -1, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 5446630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -176 - -179. Let b(k) = 2*k**2 - 4*k - 1. Let z be b(3). Suppose g = -d*x - g + 29, 41 = 4*x + z*g. Solve 6 + x = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 s when three letters picked without replacement from {f: 4, s: 6, d: 1, k: 2, x: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 50234?\nAnswer: 50234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a centimeter in micrometers?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22361601?\nAnswer: 3, 53, 140639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41710 is divided by 8269.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -603, 0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 210562965 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743 = -23*h - 950 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p - 14*p + 10 - 16*p - 12*p + 46*p.\nAnswer: -5*p + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(99)*-3)\/sqrt(9)*6)**2.\nAnswer: 72*sqrt(11) + 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 4. Let o be g(2). Let v be o - 0 - (0 - 1). What is the units digit of -3 + (v + 1)*9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8427 - 7798 = -37*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2900, 2802, 2638, 2408, 2112, 1750, 1322?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j - 27. Suppose 0 = 5*s - 4*s + 13. Let h be p(s). Solve -3*l + h = -7*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 4. Let a be n(-5). Let s(w) = -35*w**2. Let p be s(a). Let v be (-19)\/(-7) - 10\/p. Solve -8 = -y - v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1734.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360\/(-4140) - 3\/230.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73740025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 166321\/15168 - 893\/79. What is the common denominator of -145\/288 and m?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3995 is divided by 446.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 3:38 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*q + 4*q - 45, -k - 4*q = -45. Is k > 101\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.02 + -0.18. Let v = n - -22.588. What is v rounded to 2 decimal places?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 5809\/148 - (2 - (-22)\/(-8))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1099538 litres?\nAnswer: 109.9538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3975 and 0.5.\nAnswer: -1987.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 870.4632 millennia in years?\nAnswer: 870463.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*74\/(-15)*-35. Suppose 2*v + 0*v = s. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 14. Calculate the remainder when 34 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.967094kg in grams?\nAnswer: 2967.094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 17*f**2 - 12*f - 206. Calculate l(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64032 and 54027?\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4 + 1395*z**3 + 6924*z**2 + 11052*z + 5520 = 0. Calculate z.\nAnswer: -460, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*l**3*q*w - l**3*w + 2*l**3 + 826*l*q*w + l*q + 2*w - 2134 wrt w?\nAnswer: 5*l**3*q - l**3 + 826*l*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + f - 1. Let b(x) = -x**3 + 5*x**2 + 6*x + 21. Let o(m) = 4*a(m) + b(m). Let i be o(-5). Does 7 divide i - -5 - (-6)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - j + 1. Let q(d) = -104*d**2 + 7*d - 2. Let y(l) = -q(l) + 2*s(l). What is the second derivative of y(m) wrt m?\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/3)\/((12\/(-4))\/9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4)*q**(-1)*((q*q*q*q**(-2\/9)*q)\/q*q)**22)**(30\/11))**27 assuming q is positive.\nAnswer: q**(132615\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*(39\/15 - 3). Suppose 2*y - 76 = -4*q, a*y - 71 = -3*q - 19. Calculate the smallest common multiple of q and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2649436 a multiple of 982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmf when three letters picked without replacement from mmjffmma?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 0)*5\/5. Let k(a) be the first derivative of q*a + 1 + 7\/4*a**4 + 0*a**2 - a**3. Find the third derivative of k(t) wrt t.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-55))\/(195412\/230307)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(((i*(((i*i**(-1))\/i)\/i*i)\/i)\/i)\/i)*i*i)\/((i*i**(1\/2)\/i)\/i*i))**(2\/5) assuming i is positive.\nAnswer: i**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + 1*sqrt(245)) + -3)**2 - (sqrt(360)\/(2*sqrt(12)))\/(-6*sqrt(24)).\nAnswer: -66527*sqrt(5)\/24 + 9909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.89 + 2.753. Let x = 9.463 - t. Let j = -9.6 + x. Which is the smallest value? (a) 18 (b) -5\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10547693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 4*z**2 + 8 - 18 + 6*z**2 to the form c*z + v*z**2 + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -7*y - 2. Suppose -4*t = -t - y. Solve 4*f = 5*k + 2, -t*f = -k + 2*f + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 5*d**2 + 12*d - 12. Let u be s(6). Suppose 0 = -87*b + 79*b + u. Solve 4 = b*v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24090 and 100.\nAnswer: 240900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a factor of 1919907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r + 5. Let b(q) = -11*q - 15. Calculate 8*a(f) + 3*b(f).\nAnswer: -f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*z + 86 = 5*z, z = -4*q + 67. Calculate the lowest common multiple of q and 182\/10 + 2\/(-10).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 969?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227048650 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36102274 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 232*l**2 - 2*l - 3. What is the hundreds digit of h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47609 or 47492?\nAnswer: 47609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v - v)*(v + v - v) + 12*v**2 + 11*v**2 + 2*v**2 + v**2 + 0*v + 0*v.\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -16, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 6*y**2 - 7*y + 4. Calculate q(4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (235 - 317 + 725)*(6*u**4 + 0*u**4 - 2*u**4) as x*u**3 + p*u + j*u**4 + k*u**2 + n and give j.\nAnswer: 2572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 3*o**2 - 4*o**2 + 2*o**2)*(o**3 + 0 + 0).\nAnswer: o**5 - 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 - 4*c + 0 - 2 + 9 with respect to c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven thirds of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 12600.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by (-32)\/6*1596\/(-112).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -1\/36, 1, 0.4 in ascending order.\nAnswer: -19, -1\/36, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 4. Suppose 0 = -4*p + b*p - 3, -a + 12 = p. Let o be (4\/10)\/((-2)\/(-10)). Solve -5*x + a = -h, -x - o*h - 4 = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**13\/v*v**(6\/11)*(v\/((v\/(((v\/v**(-3))\/v)\/v))\/v))**(-3\/19))**(-5\/6) assuming v is positive.\nAnswer: v**(-4205\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 11:45 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12245090 divided by -5.\nAnswer: 2449018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -0.03155.\nAnswer: -0.001893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 410164*w**2 - 998*w - 68.\nAnswer: 820328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7170, 7070, 6952, 6816, 6662, 6490, 6300?\n\"Answer: -9*t**2 - 73*t + 7252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -428*u + 574*u. Let b(p) = p**2 + 111*p + 9. What is b(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*s**3 - 22\/13*s**2 + 48\/13*s + 0.\nAnswer: 2*s*(s - 8)*(s - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163825 less than -0.49?\nAnswer: -163825.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2092928, -2092911, -2092868, -2092787, -2092656, -2092463?\n\"Answer: 2*i**3 + i**2 - 2092931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 23*f - 5. What is the tens digit of m(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 41\/2 of a century?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.1 + 51.1. Let u = -52 + o. Which is the second biggest value? (a) u (b) 2\/13 (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*(sqrt(209) - (sqrt(209)*3 - sqrt(209)))*2)\/((sqrt(132) - (sqrt(132) - -4*sqrt(132) - sqrt(132)))\/sqrt(12) - (sqrt(1584) + sqrt(1584)*-3)) + 1.\nAnswer: 1 + 10*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 171941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*r - 72*r = -663. What are the prime factors of r?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 - 3*n + 7 - 4*n**2 - n**2 + 2*n. Let y be b(0). Find the second derivative of y*l**4 - 5*l**4 + 3*l**4 + 3*l**4 - 6*l wrt l.\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 11:44 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 618\/4*3448\/(-5172)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**7\/14 + f**6\/5 - f**4\/2 - f**3\/2 - 6*f. Determine z so that o(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 9:55 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 11*l**2 - 13*l + 12. Let w be u(10). Is 4265\/45 - 4\/w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**7\/420 - 61*v**6\/240 - 69*v**5\/10 + 208*v**4\/3 + 1024*v**3\/3 - 15*v**2 + 33*v. Solve r(u) = 0.\nAnswer: -32, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 2. Let y(n) = -8*n - 13. Let a(r) = 5*k(r) - y(r). Calculate a(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a week?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*d + 11 - 43 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 44, -0.2, 0.05, 1, -38?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -24. Suppose -h - w*d = -10, -4*h - 3*d = 2*d - 18. Solve 3*c + 4*b = 24, -c = 2*c - h*b - 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9681 and 89400?\nAnswer: 288493800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + 124. Calculate the greatest common divisor of 1702 and s.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 982*x + 977*x = -15, -5*b - x = -19 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4 = -41. Let m be a\/18*(0 - 4). Suppose -2 = -5*u - 4*p, 4*u - 4*p = m*u + 12. Solve -4*n - 10 = u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/3*6\/4. Suppose -z*h - k + 2*k = -23, 3*k + 29 = 4*h. Solve 40 = h*s - 5*a, -2*s - 8 = 2*s + 4*a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*n + 6 + 46, 0 = 5*n + c - 56. What is the smallest common multiple of n and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150\/(-20)*-1*4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2*(-4 - -18). Let g = s + -4. Suppose 2*t = -g*t + 45. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3*150\/(-20). Let b(f) = -6*f - 3. What is the tens digit of b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/336*-14)\/((-148)\/(-2220))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.62 + -23.38. Let n = 118697 - 118673.0065. Let m = n + c. What is m rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 23*l - 19*l + 2*o, 0 = 3*l - 4*o - 11. What is the second biggest value in 222, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10200 - 1001?\nAnswer: -11201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -512790?\nAnswer: 1\/170930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7356*g**2 - 27478 wrt g?\nAnswer: -14712*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -12055306.8 to the nearest 100000.\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1042?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -16*h**2 - 14*h - 24. Let l(g) = 5*g**2 + 5*g + 8. Give -4*j(b) - 11*l(b).\nAnswer: 9*b**2 + b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831248103?\nAnswer: 3, 7, 5654749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 4, -62.5, -0.1, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q - 3. Let v be b(4). Let n = v + 18. Suppose -2*o - 2*t - 26 = -n*o, 5*t = 4*o - 31. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z - 3*z + 2*z - 7*z. Let g(r) = r + 10. Let w be g(-7). Let l(u) = 11*u + w - 4 + 1. Calculate p(l(f)).\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/((-1)\/(-1 - -2)). Let c be (-1 + 3)\/2 - 1. Let r = l - c. Sort -1, r, 3 in descending order.\nAnswer: 3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21021201 + -121101011?\nAnswer: -100002110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.01, 16.829, 2, 1, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*s - 5. Let o = s + 5. Suppose -4*a + 58 = -o*x, a + x - 32 = 5*x. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 8*d - 3. Let s be b(-6). Let c be (9\/s)\/(2\/12). Let p(f) = f**3 - 6*f**2 + f - 2. Give p(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51173.61g to micrograms.\nAnswer: 51173610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/10)\/((189\/12)\/3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -13*c - 3360. Let q(v) = -37*v - 10084. Calculate 17*d(i) - 6*q(i).\nAnswer: i + 3384","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -6. Suppose v = 3*x + 4, 3*x - 3*v + 12 = -t*v. Suppose r = -0*r. Solve x*n - n = r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -149, -219, -291?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 12:01 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 + 2*l + 1. Let r be t(-11). Suppose r = 2*x - 0*x. Let v = x - 117. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 11:28 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -7. Sort 1.9, m, -0.2 in descending order.\nAnswer: 1.9, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1*155\/((-20305)\/(-2882)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l - 38 = w, 4 = w. Let x be 3*-1 + -20 + l. Let n(r) = -5*r - 33. Let o be n(x). Solve 3*q = -4*j - 12, -3*q = 4*j + q + o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**4 - 7467*d**3 - 5468733*d**2 - 445667577*d + 553434478692 = 0. Calculate d.\nAnswer: -911, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4474*b**5 + b - 323 wrt b?\nAnswer: -89480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 1. What is f(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 7 + 17 - 7*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.50047978487 + -0.50048. Round w to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 0.3, -3, 1\/4, 182?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 20*f - 150. Is 26 a factor of g(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/90)\/((8512\/(-288))\/(-38))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 35*p - 42. Suppose 4*d = 5*d - 105. Let o(y) = -60 - 46 + d + y. What is k(x) - 42*o(x)?\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 - g**2 + 3*g - 5. Let p be a(2). Let w(u) = -u**2 + 14*u - 5. What is the lowest common multiple of 3*(19\/3 - 1) and w(p)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, o: 4, c: 1, f: 2}. What is prob of picking 2 v?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7596288 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 4:11 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109*j**2*p - j**2 - 3*j*p - 5*j - 9*p wrt j?\nAnswer: 218*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -305710 (base 9) to base 11.\nAnswer: -1142a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 3. Let b = d - -12. Suppose b*a = a + 50. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 5*x**2 + x + 72. Determine h(0).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 46. Solve -5*a + 10 = -4*u - 14, 0 = 2*u - j*a + 18 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22 - 2)\/4 + -2. Let g be p\/20 - (-24)\/10. Is (g\/(-4))\/(5\/(-4710)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 15 + 9 = -2*a, -2*a - 8 = 0. Let s = g + -32. Let k be ((-12)\/(-16))\/((-18)\/s). Is k < 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2860 - -38. Calculate the greatest common factor of 378 and o.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - -1. Let v(h) = 2*h - 17. Let i be v(8). Which is the closest to 1\/4? (a) -1\/7 (b) u (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 11*s**2 - 22*s + 11. Let r be g(13). Let o = r - 60. Put o, 0, -8, -3 in decreasing order.\nAnswer: o, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/13 - 13496*z**2\/13 - 54008*z\/13 - 54016\/13.\nAnswer: 2*(z - 6752)*(z + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - 45) + -3 + -5 + 1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 3:24 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1. Suppose -2*h - 5*c - 13 = 0, 0*h = -3*h + 2*c + 9. Let x(z) = -2*z + 6. Determine h*x(i) - 6*a(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2028*j + 441. Let z(l) = -563*l + 126. Let b(d) = -5*n(d) + 18*z(d). Give b(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1184)\/(-18) + 2\/9. Suppose 513 - 105 = 68*t. Calculate the highest common divisor of t and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 804 = -3*o - 2*o, 5*o + 5*n = -810. Let u = o + 156. Let m = -4 + 3. Let c(l) = l. Let k(z) = -3*z + 2. Give m*k(j) + u*c(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.627 - -9.627. What is the nearest to 3\/8 in 5, u, 2\/67?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613145 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhhpplcdddhppp. What is prob of picking 1 p and 1 l?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -32*p + 2. What are the prime factors of x(-6)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4935961345?\nAnswer: 5, 7, 23, 875947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 902 and 10004.\nAnswer: 110044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -16*o - 912. Calculate a(-57).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*z + 4, 28*z - 32 = -2*o + 24*z. Let k(u) = 12*u - 1. Let b(c) = -35*c + 2. What is o*k(r) + 3*b(r)?\nAnswer: -9*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 + -77. What is the units digit of 71*y - 10\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**7*j*j)*j*j)\/j)**(2\/15) assuming j is positive.\nAnswer: j**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 22 = 48 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -4*n**3\/3 - 3*n**2\/2 - 4. Suppose 3*b - 4*b + 2 = 0. Let k(q) = -q**b + q - q**2 + 3*q**2. Determine -14*k(j) - 4*x(j).\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2644 + 1081394\/409. Which is bigger: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4784258 centuries in years?\nAnswer: 47.84258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47140 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -122564.\nAnswer: -3\/30641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, i: 3, q: 3}. Give prob of sequence qiq.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 96*s**2 - 2334*s + 624. Give f(24).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111400011 + 13133?\nAnswer: 111413144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**2 + 6*h**2 + 18*h**3 - h**2)*(0 + 5 - 4)*(10646 - 195*h - 10646).\nAnswer: -3510*h**4 + 195*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/3, -0.9, -5\/4, -5, -136, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.404 and 0.1.\nAnswer: 1.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414505?\nAnswer: 5, 7, 13, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.512 times -0.13\nAnswer: -0.19656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 250 and 34190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgvggvhwvgvhh. What is prob of picking 1 h and 1 k?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 86820 <= 86821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161\/20, -4, -4\/9, -3, 3 in descending order.\nAnswer: 3, -4\/9, -3, -4, -161\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 4*t + t)*(-14 + 17 - 5)*(17*t - 17*t + 2*t**2) + (-2*t**3 - t + t)*(1 - 2 - 2)*(1 + 4 - 2)*(-1 - 3 + 6).\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2*r + 102 = 0, -7*q - 1317*r - 212 = -1313*r for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*2*-1 + (3 + 3*sqrt(7))*2)*2.\nAnswer: -20*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*k - 73*k + 5*k**2 - 6*k.\nAnswer: 5*k**2 - 37*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -14*g - 2. Let k(t) = 7*t + 1. Let u(b) = 7*k(b) + 3*v(b). Suppose -3*l = 2*z + z + 9, 0 = -3*z - 5*l - 17. What are the prime factors of u(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 768.7263 days?\nAnswer: 18449.4312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(800)\/sqrt(10) + -1.\nAnswer: -1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from mhhmmmmmhhhmmmlmm.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1065\/25 + 2\/5 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*u - 56 + 985 = -346 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v + 28. Let s(y) = 4*y + 21. Let a(l) = -3*q(l) + 4*s(l). Let c(h) = -3*h - 4*h + 0*h. What is -24*a(b) - 3*c(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, m: 5}. What is prob of picking 2 m and 2 n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**2\/3 + 3*x + 22\/3 = 0.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.7 - -13.70008189. What is p rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -410, -5, 8 in decreasing order.\nAnswer: 8, -5, -410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + 2 + sqrt(1900) + sqrt(1900) + 4) - (((sqrt(1900) + -1)*2 - (2 + 2 + sqrt(1900))) + -4))**2.\nAnswer: 3100*sqrt(19) + 48461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 25)\/(-3) - 2. Which is smaller: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 23*h + 6*h + 11*h + 5*h to the form x*h + d and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -578 - -623. Calculate the remainder when 942 is divided by n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*w - 1, 9*i + 5*w = 13*i - 13. Let d(k) = -17*k**2 - 19*k**2 + 41*k**i. Let o(h) = -8*h**2 - 3. Determine o(d(c)).\nAnswer: -200*c**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59 and -0.3.\nAnswer: -17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 - 2*a**2 + a - 2. Let y be r(-2). Suppose 20 = y*s, 5*s = 2*c + 2*s + 19. Are c and -10\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.39 - 0.01. Let l = 99 + -185. Let g = l - -85.7. Sort n, 4, g in ascending order.\nAnswer: n, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*397\/2 + -9*4\/12 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7207486 and 312301?\nAnswer: 3509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -696*h**2 - 45935*h + 52. Calculate n(-66).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by 31778?\nAnswer: -55\/31778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32618 and 678038.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1999752 by 83323.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -347*m. Let d(c) = 3*c**2 + 27*c - 257. Determine d(u(g)).\nAnswer: 361227*g**2 - 9369*g - 257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3*2\/10*-3)\/((-197)\/2955)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x**3 - 12*x**2 + 6*x - 18. Let w(l) = -4*l**3 + 9*l**2 - 5*l + 18. Give -3*h(f) - 4*w(f).\nAnswer: -2*f**3 + 2*f - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100110010110110 + -101?\nAnswer: 10000100110010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 3 (b) 2\/3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -23880*0.1\nAnswer: -2388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 119*l + 1192. What is the lowest common multiple of 153 and z(-10)?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4767386 - -17.9?\nAnswer: 4767403.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -42 + 36. What is the second derivative of 354*w**4 - 323*w**4 + 28*w - 5*w**2 + w**2 + 22*w + 3*w**g - 1 wrt w?\nAnswer: 372*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10840 + 2419 - 489 = -40*m - 50*m for m.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:42 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 d when three letters picked without replacement from {d: 3, b: 4, i: 2, s: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 9\/6 - 52\/8. Let b be i\/21 - (-4 - 284\/14). Let l(n) = 10*n**2 - 3*n - 3. Let o be l(-3). Calculate the highest common factor of b and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(18\/3)\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.102 + 0.0503. Round r to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-165)*((-8)\/(8\/3))\/(-1)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 654767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8533825 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538 + 558 = 5*m. Sort -1, m, -36, -1\/7 in ascending order.\nAnswer: -36, -1, -1\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-2 + (-28)\/(-16))*2. What is the remainder when 42 is divided by (24 - u) + (1 - 6 - -5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k. Let i(d) = -3789*d**2 - 10*d + 1. Calculate i(q(h)).\nAnswer: -34101*h**2 + 30*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 12*z**2 - 10*z - 3. Suppose -2*s - 3 + 13 = 0. Suppose s*b + 3*l = 40, l = 5*b - 66 + 6. What is the units digit of n(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, a: 2, c: 1, h: 2}. Give prob of picking 1 h and 3 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157 - -841\/5. Let v(n) be the second derivative of n**4\/3 - 7*n**3 - 46*n**2 + 465*n. Find the common denominator of w and v(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -68 + -18439?\nAnswer: -184a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) - (-44)\/(-10). Is 13 a factor of ((-39)\/(-6))\/(f\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**9\/84 + 19*y**7\/42 + 65*y**5\/6 - y**4\/24 - 404*y**2 + 2. What is the third derivative of g(r) wrt r?\nAnswer: -720*r**3 + 2280*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -113378.\nAnswer: 56689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1. Let l(o) = 2*o + 113. What is 2*f(s) - l(s)?\nAnswer: -2*s - 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u**3 - 137*u**2 - 11*u. Let h(b) = -2*b**3 - 46*b**2 - 4*b. Let p(n) = 11*h(n) - 4*m(n). What is l in p(l) = 0?\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158022287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1696 + -1695.9. Which is the nearest to v? (a) 0.336 (b) -1\/4 (c) -0.2 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30, -63, -96, -129, -162?\n\"Answer: -33*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/((-10)\/4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -535, -1072, -1623, -2194, -2791, -3420, -4087?\n\"Answer: -a**3 - a**2 - 527*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2513*f + 11112 - 155 + 1608 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3231748314.\nAnswer: 2, 3, 17, 149, 23627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k**3 + k**2 + 29*k - 1. Let h(u) = u**3 - 5*u. Let f(c) = 6*h(c) + w(c). Let q(y) = 6*y**3 - y**2 - 4*y + 1. Determine -f(x) - q(x).\nAnswer: -7*x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 25*w + 15*w + 3*w**2 - 9*w.\nAnswer: 3*w**2 + 33*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -25264736 divided by -427\nAnswer: 59168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 11*w**5\/60 + w**4\/8 + w**3\/6 + 13*w**2. What is the remainder when x(3) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3520472 is divided by 1998.\nAnswer: 1994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -76412 (base 8) to base 10\nAnswer: -32010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90.49 + -89.49. Which is the smallest value? (a) -3\/484 (b) s (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*r - 94*r + 4*g - 12, 0 = -5*r + 5*g - 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10, 21, 44, 79, 126?\n\"Answer: 6*s**2 - 7*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - f + 2*f)*(-6*f - 6*f + 6*f) + 0*f + 0*f + 2*f**2 + (2*f**2 - f**2 + f**2)*(-3 + 11 + 5) as w*f**2 + t + k*f and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*x + 8 = 0, 0 = 3*h - 4*x - 0*x - 13. Solve -h*z + 4*m = -15, 3*z + 3 - 9 = m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -332558*j**2*r - 4*j*r - j + 283*r - 2 wrt j.\nAnswer: -665116*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 5\/3*y**3 + 0*y**2 - 4*y + 7 + 1\/4*y**4. Suppose 3*g = -h - 10, 0 = -g - 6*h + h + 20. Determine m(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44151\/14 + 3148. Let l = 4286 + -51281\/12. Calculate the common denominator of l and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2 (b) 0.4 (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1301 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(1\/4))**(-43)\/(r**(-3\/4)\/r**(-7\/3)) assuming r is positive.\nAnswer: r**(-203\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19926, -79004, -177234, -314616, -491150, -706836?\n\"Answer: -19576*n**2 - 350*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2261.99197 - -27.8.\nAnswer: 2289.79197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/5 - 494*b**2\/5 - 30256*b\/5 + 30752\/5.\nAnswer: -2*(b - 1)*(b + 124)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -89, -225, -355, -479, -597, -709, -815?\n\"Answer: 3*q**2 - 145*q + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 957695688 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 2*y + 1\/6*y**3 + 0 + 3*y**2. What is w(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, -2, 38, 0 in descending order.\nAnswer: 38, 0, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.459987 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-3) - -10)\/2. Let v = 6 - f. Suppose 4*t - j - 87 = 0, j - 6*j = -v*t + 57. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-14 + (-3145)\/(-204)) + -7?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 335 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*f - 770, -f + g = -g + 373. Let y = f + 389. Solve 16 = 4*p - y*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2248*g**4 + 2249*g**4 + 88 + 173 - 4*g to the form h*g**3 + j + c*g**2 + o*g + v*g**4 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 8:37 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**3 + 2*i**2 - 1. What is the remainder when 28 is divided by g(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 15*o - 8. Suppose 54 = -20*u - 246. Calculate g(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2780\/417)\/(1*(-8)\/(-60))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*q**3 - q + q + 23*q**3.\nAnswer: 266*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1075b - -4?\nAnswer: -10757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 27 = 4*z, 5*u - 4 = 4*z - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i - 2*i + 12 - i**2 + 0*i**2. Let d be n(-10). Let m(b) = -d*b - b + 4*b. Let w(x) = -2*x. Calculate m(w(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2845 and 126953.\nAnswer: 361181285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - (18 - -3)) + (-1 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -28*v**5\/5 - 16*v**4 - 16*v**3\/3 + 50. Suppose b(h) = 0. What is h?\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 117 = 84. Let b = -66 - m. What is the lowest common multiple of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10131089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1 - 0)\/((-2)\/19))\/(200\/31600) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cybyayyccycgyycgycy. Give prob of picking 1 b, 1 c, and 1 a.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 7. Let t be z(5). Let s(r) = -74 - r**t + 5*r - 76 + 157. What is s(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylayaayyaaaaaajfyyfa. Give prob of sequence fly.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 - 6*y + 6. Let x(g) = -8*g**2 - 18*g + 17. Let r(z) = 11*j(z) - 4*x(z). Let b be r(5). Solve -b*t - 4 = 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1916\/(-1437)*(-4)\/(-24)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9141 is divided by 434.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -28574598634 - 0.2?\nAnswer: -28574598634.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102120 and 345?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 6*z + 5. Let w be j(-4). Let r be (2\/w)\/((-12)\/54). Which is greater: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108855230.4 seconds to weeks.\nAnswer: 179.9855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3879 + 3*t**2 - 11*t - 27*t + 39*t.\nAnswer: 3*t**2 + t + 3879","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 + 3 - -3)\/1. What is the closest to q in 0.2, 3, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 8*j - 12. Let l(u) = -u**2 - 19*u + 19. Let x be l(-19). Let n = -14 + x. List the prime factors of f(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*z - 49599990 = 0, 3*z - 2547766 = -4*s - 52147760. What is s rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/161*(-728)\/208\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1539 = 3*n, -3*v + 3*n - 1545 = -6*v. Solve -2*f = -v + 518 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21016*x**3 - 699*x - 21015*x**3 + 196*x**2 - 196*x**2.\nAnswer: x**3 - 699*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -33. Let x = p + 19. Which is the third smallest value? (a) 3 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 0 + 5\/48*o**4 + 0*o**2 + 118*o - 7\/12*o**3 + 1\/80*o**5. Factor c(w).\nAnswer: w*(w - 2)*(w + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -1096838?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -1381*v - 103323. What is k(-75)?\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 307, 615, 923?\nAnswer: 1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8107 - 7866. What is the remainder when s is divided by 109?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*o - 2*o. What is the greatest common divisor of 14 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -43. Suppose -2*a + 624 = j*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(1\/6))**(-39))**18)**(-2\/33))**40 assuming x is positive.\nAnswer: x**(3120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 832.1074 + -0.1074. Let t = 780.2 - m. What is t rounded to 0 decimal places?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21.1266g?\nAnswer: 0.0211266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7879, -7801, -7723, -7645, -7567, -7489?\nAnswer: -7411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.3 - -2. Let p = -412\/1535 + -202\/1535. Which is the nearest to p? (a) -5 (b) -2 (c) 2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 386 and 7?\nAnswer: 2702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 242? (a) 0.5 (b) -5 (c) 64 (d) 0 (e) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**2 - 25*d - 19. Let c(i) = -3*i**2 - 17*i - 13. Let g(y) = -7*c(y) + 5*n(y). Let b be 2*7*(0 - -3). Let j be (-40)\/(-7) - (-12)\/b. Give g(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**7\/2520 + i**5\/120 + i**4\/2 - i. Let a(u) be the third derivative of j(u). Give a(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2011649.\nAnswer: 23, 149, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 93*p**2 + 79*p + 1411. Let o be z(94). What is the nearest to -0.2 in o, 5, -5\/21?\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/(v**7\/v))\/((v**(5\/3)*v)\/(v**(3\/2)*v*v)) assuming v is positive.\nAnswer: v**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -102126, -2, 0.3, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.1. Let w = k - 0. Let r = 11.2 + -14.2. Which is the nearest to -1? (a) w (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdg when three letters picked without replacement from {q: 4, g: 8, d: 5}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/20)\/r)\/r*r*r*r*r**(1\/8)*r*r*(r**(-9))**(1\/40) assuming r is positive.\nAnswer: r**(57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3146466, 6292882, 9439298, 12585714?\n\"Answer: 3146416*i + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10628*z**2 + 10040*z - 588.\nAnswer: 4*(z + 1)*(2657*z - 147)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -30824337 and -0.2869923?\nAnswer: 30824336.7130077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1276402 (base 8) to base 13.\nAnswer: c793b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 24*l - 2709. Calculate f(-65).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2777770933 to the nearest integer?\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.26 + -3.26. Put 3, f, 0.5, 1\/3 in ascending order.\nAnswer: f, 1\/3, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*c - 3*c - 5*c + (-2*c - 4*c - 5*c)*(-5 + 12 - 20) in the form k + t*c and give t.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74550762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 729 - 62697\/86. Is 1 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 174 + 2283. What is the smallest common multiple of a and 52?\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139 - 135. Let n(s) = 3*s**2 + 7*s - 12. What are the prime factors of n(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20222688?\nAnswer: 2, 3, 19, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c**2\/25 + 1814*c\/25 - 1212\/25.\nAnswer: 2*(c + 303)*(3*c - 2)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 353 and 185652.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1164568.\nAnswer: 2, 17, 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-eight fifths of a kilogram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 5, -342 in increasing order.\nAnswer: -342, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 + 2*t**2 + 3*t - 2. Let u be f(-2). Let b be u\/(-42) - 4\/(-6). Determine q so that b*q**2 - 8\/7 + 0*q = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2. Let b(y) = -15*y - 85. Let u(n) = -n - 6. Let o(v) = -6*b(v) + 85*u(v). What is m(o(z))?\nAnswer: 100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 2*f - 1. Let w be s(2). Let r(q) = 3*q**3 - q**2 + 1. Give r(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**2 + 43 - 235 + 73 - 4*g**2 + 79.\nAnswer: -19*g**2 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.19825 centuries?\nAnswer: 0.019825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/4)\/(61369936\/8767136 - 7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00394348137 rounded to 7 decimal places?\nAnswer: -0.0039435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - (-405)\/(-75))*(-2)\/(-24). Let 0*q - 2\/15*q**5 - 2\/15*q**2 + a*q**3 + 2\/15*q**4 + 0 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/((k**(-3\/8)\/k)\/k)*k)*(k**(-1\/4)*k)\/k)\/((k**(-1\/35)*k*k)\/k**42) assuming k is positive.\nAnswer: k**(10473\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 63\/((-2)\/2) - 4\/(-2). Let x = y + 93. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2463916 times 0.5\nAnswer: -0.1231958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 5618143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmda when four letters picked without replacement from {q: 1, a: 11, m: 2, d: 2}.\nAnswer: 11\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5189184.8 and -17.149.\nAnswer: -5189201.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11491 - 11490.77378. What is p rounded to 3 decimal places?\nAnswer: 0.226","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 12*a**2 - 26*a - 5. Is 8 a factor of h(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**2 - 12*m**2 - 5*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3551704, 7103409, 10655116, 14206825, 17758536?\n\"Answer: t**2 + 3551702*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*r**3 - 5*r**2 + r + 49*r**3 + 1 + 29*r**3 - 8*r**2 in the form v*r**2 + x*r + m + p*r**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**1\/m**(-7)*(m*m\/(m*m*m\/m**1))**16 assuming m is positive.\nAnswer: m**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 70*n**2 + 40*n + 2006. Let b be f(69). Is 279\/65 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + (30 - (-99 + -26 + 11))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-2 - -2) - 200\/60.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2118*r + 217719 = -24828*r - 1962441 for r.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5 = 0, 59*a - 20 = 54*a + 5*p. Factor 0*g + 0 + 0*g**2 + 0*g**a + 1\/12*g**5 + 1\/12*g**4.\nAnswer: g**4*(g + 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3944 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 253*z. Let l(c) = -551*c - 5. Calculate w(l(u)).\nAnswer: -139403*u - 1265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72340.\nAnswer: 2, 5, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - 32\/6)*3. Let f(t) = t**2 - 6*t - 3. Let r be f(7). Find the first derivative of 6*n**k + 2*n**4 - 15 - 6*n**2 + 4*n**r wrt n.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2, 5, 3\/23, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7*z + 141 = 3*z, 4*z - 12 = 0. Is 51 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**5\/60 - v**3\/6 + 3*v**2. Let w be r(2). Suppose -44 = w*l + 31. Round l to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 + -1.07. Let m = u + 2. What is the closest to m in -1, -5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -2*z + 55, -800*g + 792*g = 4*z + 184 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4529 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(171) + 0))**2 + (sqrt(171) - (sqrt(171) + 1)*6 - sqrt(171))**2.\nAnswer: 216*sqrt(19) + 12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, 3, 9, 29, 69?\n\"Answer: f**3 - 2*f**2 - 3*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -312019895 less than -312019894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 126965158.99451 + -126964094. Let d = 7.79 + -1072.79. Let q = d + o. Round q to 4 dps.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -3*h**2\/2 - 4. Let r(q) be the third derivative of q**4\/24 + 3*q**2. Calculate 10*r(v) + 4*w(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*m + 46, -m + 252*d - 26 = 257*d. What is the greatest common divisor of m and 106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**5\/20 + y**4\/3 + 11*y**3\/6 + 4*y**2 - 5*y. Let g be s(6). Solve -3*o + 8 = -2*a, -g*o + 6 = a + 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.8 - -12.8. Are z and 65 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 31 (b) 304 (c) -23 (d) -90.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 4, -1116377, -1\/4?\nAnswer: -1116377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 315, 1, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4082 = 4116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - 15 = 7*b - 2*g, 0 = -2*b - 4*g + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818 is divided by 316?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-150)\/(-20))\/3*84\/(-70)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -2, 1, -12, 2, -4, -55 in increasing order.\nAnswer: -55, -12, -4, -2, 1, 2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:43 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 57*t**2. Let p(y) = -190*y - 50. Let z(b) = 111*b + 30. Let s(g) = 7*p(g) + 12*z(g). Give h(s(d)).\nAnswer: 228*d**2 + 2280*d + 5700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1123 + -1200?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*c - 2*o - 0*o, -4*c - 36 = -2*o. Let g = -3 - c. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 227 + -158. What is the remainder when z is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 18*d - 98. Suppose -h - d = -8*h. Is -1353*(21\/(-9) + h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1099 - -1097. Put 1, -190, 0, i in descending order.\nAnswer: 1, 0, i, -190","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 223514 and 6?\nAnswer: 670542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1286 and 20.\nAnswer: 12860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2959 + 5048. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8535 is divided by 219.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4701 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 12 + 0 = 0. Suppose o - 7 = 4*c. List the prime factors of (c + -2 + -17)\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007463459 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -779, -6031, -20239, -47885, -93451, -161419, -256271?\nAnswer: -382489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x + 1. Calculate the remainder when j(6) is divided by 6 - 1\/(4\/24*-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95.285*-0.183\nAnswer: 17.437155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4033.22975 + 4077.7166623. Let z = f + -248.48691019. Let v = z + 204. What is v rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3167.7 to the nearest ten.\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403933, 404244, 404555, 404866?\nAnswer: 405177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o - 2. Let p(z) = -643. Let a(q) = -117. Let k(y) = -11*a(y) + 2*p(y). Calculate -3*k(g) - x(g).\nAnswer: 5*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.38 + 918711550713\nAnswer: 918711550713.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -91*n - 2. Calculate z(1).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*x + 19 = 8, -5*x = -10. Suppose -1\/4*o**4 + 3\/4*o**l - 3\/4*o**2 + 0 + 1\/4*o = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -3*x**5\/100 + 3*x**4\/20 + 9*x**3\/10 + 3*x**2\/2 - x + 90. Let d(c) = 0. What is c?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 768*f - 2513. Give t(3).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(11) + sqrt(88)\/(2*sqrt(8)))*5 - (0 + (sqrt(121) + sqrt(121)*2 + sqrt(121) + sqrt(121) - sqrt(121))\/sqrt(11)))**2.\nAnswer: -1617\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 11*z + 13. Let h be q(-9). Let b = -3 - h. Suppose -s = -16 - b. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b + 2. Let q = -254 - -251. Let v(m) = -4*m - 3. Let i(d) = q*y(d) - 2*v(d). Let z(s) = -2*s. Determine i(z(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*z - 50. Let j be (-3 - 60\/z) + (-224)\/10. Is j <= -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4042 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -5. Let x(p) = 80*p**2 + p - 1. Let f be x(1). What is the greatest common divisor of f and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c8636 (base 13) to base 2\nAnswer: 100001101100001010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12, -39, -88, -171, -300?\n\"Answer: -2*b**3 + b**2 - 16*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -179. Let d = f + -36. Let l = 67.9 - d. What is the nearest to -1\/3 in 4, -7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2504972 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(-2)\/(-4 - 0). Suppose -4*s + 0*x + 4*x + 160 = q, -x - 110 = -3*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljlj when four letters picked without replacement from {j: 4, l: 10, g: 2}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 1\/5, 1\/35, 10, -3 in descending order.\nAnswer: 10, 1\/5, 2\/13, 1\/35, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.35 * 4028.\nAnswer: -53773.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sku when three letters picked without replacement from skssqososkoousqk.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 12:57 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 7*d + 7. Calculate m(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 6 - 16 = -3*z, -x - 4*z + 5 = 0. Suppose c = 5*k + x*c - 91, -k + 35 = 5*c. Calculate the greatest common factor of k and 480.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2308 is divided by 154.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 9. Suppose 0*y + 70 = u*p - 5*y, -4*p - y = -36. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 764600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/6*((-4)\/8)\/(5\/30).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7 - -48)*-1)\/(34 - 38). Suppose -13\/4*t**5 - 1 - 37\/4*t**2 + 8*t + v*t**4 - 19\/4*t**3 = 0. Calculate t.\nAnswer: -1, 2\/13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 - -1. Let u = -2.98 + -0.02. Let r = u + 3.5. What is the biggest value in r, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-2)*6\/(-1). Let k = 7 - l. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20043, 20060, 20087, 20124, 20171?\n\"Answer: 5*z**2 + 2*z + 20036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 37*z + 7. Let f be 5 - ((-152)\/190)\/((-2)\/30). Let r(x) = -12*x - 2. Calculate f*r(q) - 2*c(q).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234454340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/14 (b) 0.5 (c) 7.5 (d) -17 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 47*p**2 - 46*p - 343. Let v(c) = 223*c**2 - 231*c - 1715. Let n(j) = 19*d(j) - 4*v(j). Determine n(-42).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, d: 2, t: 2, s: 1, q: 1, r: 1}. What is prob of picking 1 p, 1 d, and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -59800, -119581, -179362, -239143, -298924?\n\"Answer: -59781*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 153\/15*-1 - 2\/(-10). Let f(w) = w**2 + 28*w. Let n be f(r). What is the remainder when (-8 - -3)\/(n\/44 - -4) is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57677 and 1263.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 6:56 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 6*k**2 - 10*k**2.\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/((t*t*t*(((t*t**(-2\/3))\/t)\/t*t)\/t)\/t)*t*t)))**(-40))**(-49)\/((t*t**(-2\/5))**(-35)*(t\/t**1*t)**(1\/6)) assuming t is positive.\nAnswer: t**(10495\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 62 = -128. Let s = v - 38. Put s, 4\/9, 1\/5 in descending order.\nAnswer: 4\/9, 1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 34062, 35316, 36570, 37824?\n\"Answer: 1254*a + 32808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - 88. Let z = -70 - n. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*f - 6 = -0*x, 4*x - 4*f = 12. List the prime factors of (-42)\/24*-2*x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.88102nm to millimeters.\nAnswer: 0.00006088102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11*m + 11. Give i(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -0*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-3\/10)*o)\/(o*o*(o**(-11\/3)*o)\/o*o))**(-14\/3))**(2\/15) assuming o is positive.\nAnswer: o**(-994\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2f52e2 (base 16) in base 4?\nAnswer: -23311023202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c - 15*c + 35*c - 11*c - 88 = i, -3*c + 2021 = -29*i for i.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4002 = 7*t + 4058 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*v + 141 = -54, 4*v = 5*h - 191. Let f be 10\/(-4)*(-84)\/h. Find the third derivative of -f*z**5 - 7*z**2 - 12*z**2 - 9*z**5 - 5*z**5 wrt z.\nAnswer: -1200*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93624662 - 7604.\nAnswer: 93617058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2\/8 + 3983*y\/8 - 3991 = 0.\nAnswer: -3991, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/3, -18, -5, -6 in increasing order.\nAnswer: -18, -6, -5, -13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2853*a**3 + 8557*a**3 - 2848*a**3 - 2852*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 1:10 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1094640?\nAnswer: 2, 3, 5, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-45) - 1054\/1785\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2348*q**4 - 12*q - 40 wrt q.\nAnswer: -28176*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as 915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2670460?\nAnswer: 2, 5, 13, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (602\/40)\/(-7) + 2. Suppose -11 - 5 = 4*w. Let i(g) = g**3 + 5*g**2 + 4*g + 1. Let z be i(w). Do q and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -313 divided by 835?\nAnswer: -313\/835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.5 (b) -14 (c) 30\/13 (d) -3\/4 (e) 2\/83 (f) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10520 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 17*t - 39. Let m(s) = -s**2 + 9*s + 653. Determine m(j(n)).\nAnswer: -289*n**2 + 1479*n - 1219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -925 and 8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1850271\/7 - 264322. Factor h*m - 3\/7*m**2 - 5\/7*m**3 + 1\/7*m**4 - 10\/7.\nAnswer: (m - 5)*(m - 1)**2*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-7))**(-19)\/((l*l**(5\/12)*l)\/(l\/l**(1\/15))) assuming l is positive.\nAnswer: l**(6751\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 189502451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16758, 16756, 16754, 16752?\n\"Answer: -2*k + 16760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0555 + -16330\nAnswer: -16329.9445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46336, -46350, -46364?\nAnswer: -46378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191764 - 26*r - 191764 + 3*r.\nAnswer: -23*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2)*(8 - 8). Let g be 30 - 3 - (1 + i). Suppose -28*p + 8 = -g*p. Solve p*a = 12, 5*o - 2 = -a - 3*a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 155*t - 25 - 80*t - 79*t - 52.\nAnswer: -4*t - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 4*v - 166. What is the highest common divisor of v and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + 2*v**2 - 6*v**2)*(4*v**3 + 2*v**3 - 4*v**3) - v**5 + 2*v**5 - 3*v**5 - v**5 + 12*v + 8*v**2 - 12*v.\nAnswer: -5*v**5 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1701026, 10, -3 in decreasing order.\nAnswer: 10, -3, -1701026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1575 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n = -36. What is the greatest common divisor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72918941 to the nearest integer?\nAnswer: 8539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, 0.5, 12, 38, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -24735.\nAnswer: -4947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 2\/9 (c) -0.01 (d) -1.7 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + -4. Suppose -2*k - j = -189. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 4*d - 10 + 23, 4 = -b - 3*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 40 (b) -5 (c) 2\/5 (d) -1\/5 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138024 + 3.\nAnswer: 138027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23261637 (b) -2\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 78, 20, -86, -246, -466, -752?\n\"Answer: -p**3 - 18*p**2 + 3*p + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 6.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - 8 - (-7 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20202 - 10100?\nAnswer: 10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2880 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 73 = 3*q + 62, 3*q + 4*p = -100. Let m be 3\/(q\/55 - 2 - -3). Solve -5*j + 1 = m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 42, 47, 52, 57?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-8) + (-54)\/48.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 2575287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -18944098.\nAnswer: -18944095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -4\/7, 3, 0.4, -7\/39?\nAnswer: -7\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27 - 5*t**2 - t + 7*t**2 - 53*t**2 - 11 wrt t.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 39, 68, 101, 138, 179, 224?\n\"Answer: 2*u**2 + 19*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 2911919075.\nAnswer: -2911919070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 10*f + 14. Let u be k(-11). Let z(r) = 20*r**2 - 40*r + 4. Let v be z(0). Solve -d - v*d = -u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + -32a694?\nAnswer: -32a680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -41560 (base 7) in base 3?\nAnswer: -112001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/184 + (-44)\/506.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 160 + -24. Let c = b - 136.00096. Round c to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**7\/315 - w**6\/27 - 7*w**5\/90 + 2*w**4\/9 + 20*w**3\/27 + 425*w**2. Solve b(n) = 0.\nAnswer: -5, -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.04 (b) 4 (c) -0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 985 = -64*s + 329*s - 1400 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 + 84.02. Let o = 0.02 - v. Let s(h) = -h**2 - 191*h - 6577. Let p be s(-45). Which is greater: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32.4154223 - -0.1.\nAnswer: 32.5154223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29207487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04 and -3096.\nAnswer: -3096.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 49\/(-14)*6\/(-7). Suppose -389803 = 3*x - 6*x + t, 0 = -x + j*t + 129929. Is 3\/(-8) + x\/104 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27145 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - 5. Let a = -8 - v. Let b be a + (2 - 2 - -4). Solve -5*k = -3*d - 1 - b, -d = 4*k - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2) + 25 + -3. Suppose 3*o - 6*o = 0. Suppose o = -l - 5, 0*l = -2*s + l + 27. Calculate the greatest common factor of s and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 9*q + 8. Let d(v) = v**3 - 9*v**2 + 9*v - 4. Let j be d(8). Suppose 5*g + 23 = -4*i, 0 = 5*i - j*g + 23 + 16. Is y(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*8*(-1)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1048, 2110, 3172, 4234, 5296, 6358?\n\"Answer: 1062*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + o**2 - o - 1. Let y(v) = -4*v**3 + 7*v**2 - 22*v + 3. Suppose 0 = -75*i + 78*i + 9. Let l(a) = i*j(a) - y(a). Factor l(s).\nAnswer: s*(s - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.07076 to 1 decimal place.\nAnswer: 13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -5, -2\/7, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30915803 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22a9 (base 12) to base 6.\nAnswer: -25533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 34. Let a = -147 + 213. Calculate the remainder when a is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 43*k - 98. Calculate y(-31).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**4\/6 - q**3\/2 + 52*q**2 + 1. Calculate i(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 0.5, -5.3, 16\/7, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4877 + 4881. Let h = 29 - 30. What is the closest to 1\/4 in s, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28953 or -2241\/4?\nAnswer: 28953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1662?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) -2\/7 (c) 1\/3 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11524 (base 10) to base 3\nAnswer: -120210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o**3 + 4*o**3 + 0*o**3)*(66*o + 4669 - 4669) as z*o**2 + x + a*o**3 + j*o**4 + t*o and give j.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 + 99. Let s(b) = -7*b**3 - 4*b**2 - 3*b - 1. Let g be s(l). Solve -j + 3*j - 3 = 3*n, g*j - 4*n = -3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377283337529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-1) - 60)*((-976)\/(-64))\/(-61)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2446.8 + 2445.8. Let f = -0.2 - 0. Let x = 93 - 463\/5. Sort f, s, x in ascending order.\nAnswer: s, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2304.4 to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 51182105 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -29, -12, 7, 28?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112100121011 (base 3) to base 4.\nAnswer: 1010332333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, 2\/21, -5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43\/3975 - -11\/159. Suppose 0*t + 5 = t. What is the second smallest value in -1\/7, 1, t, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 163*w - 165*w + 3 - 9*w**2 - 2 in the form h*w + f*w**2 + z and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 152*l - 5. Let k(r) = 152*r - 3. What is -3*k(b) + 2*p(b)?\nAnswer: -152*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 16*y**2 - 12*y - 48. Give c(14).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0 = -24. Suppose 61 + h = m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299562417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.93264 times -9?\nAnswer: 53.39376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-100)\/(-6) + (-8)\/12. Let l = b + -11. Calculate the greatest common factor of 2 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -738\/5 or 27?\nAnswer: -738\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23578 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 6*o. Suppose o = -4*t + 81 + 763. What are the prime factors of t?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 0 - 1\/6*b**5 + 0*b**4 + 5\/3*b**3 + 4*b**2 + 0*b. Let y = 3 + -5. Let j(p) = p**2 - 1. Give y*k(i) - 22*j(i).\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -3383733?\nAnswer: 3383737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2380*d*i*l - 6*d*i + 2*d*l - 34554*d + 23*i*l + 2*i + l wrt l?\nAnswer: -2380*d*i + 2*d + 23*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (416 + -5)*2\/(1 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 466\nAnswer: -1398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3290539.\nAnswer: 7, 470077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*k*l*y - 5*k*l - 42*k*y + 28*l*y - 2*l + y - 1 with respect to k.\nAnswer: 4*l*y - 5*l - 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2124 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/59072 and 77\/15392.\nAnswer: 2185664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5429.39 + 1\nAnswer: -5428.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 155265888 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, 0.5, 9 in increasing order.\nAnswer: -0.13, 0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((m + m - m)*(-3*m**3 + 3*m**3 - 2*m**3) + 14*m**2 - 14*m**2 + 9*m**4)*(3 - 5 + 0) to d + f*m**3 + x*m + v*m**2 + i*m**4 and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 18, -2, 131, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -51*k**2 + 12*k - 96. Let l(t) = -4*t**2 + t - 8. Let m(o) = 12*l(o) - p(o). Let v(s) = 5*s - 5*s - 3*s**2. Determine m(v(n)).\nAnswer: 27*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50011008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b6 (base 13) to base 12.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 23 = 41. List the prime factors of -97*(w - 18\/2).\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 3664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nszxxcssxzszssxsss. Give prob of sequence cn.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/5 and -17\/2732.\nAnswer: 13660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12 - 18549173674\nAnswer: -18549173686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + z - 72, -2*l + z = 2*z - 36. Calculate the remainder when 389 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o. Let m(c) = -13418714*c. Determine s(m(t)).\nAnswer: -80512284*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**4\/12 - 11*p**3\/6 - 9*p**2. Let v(q) = -q - 4. Give 3*j(y) - 8*v(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p = -4*i - 68, -2*i = -5*p - 1. Let o be i\/10*(-5)\/2. Let d be 2*2*1\/6. Put 0, o, d in ascending order.\nAnswer: 0, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5788878 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 5*o + 4. Let r(l) = 2*l**2 - 10*l + 7. Let q(u) = 3*r(u) - 5*t(u). Let m be q(6). Solve -2*c + m*c = 3*b + 1, 3*c = b + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/18 + 25\/(-9) - -8. Solve -2*h + 9 = -p*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.273875 - -48.\nAnswer: 44.726125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 143285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-196)*(-88)\/55)\/(9\/378)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2304, 9256, 20844, 37068, 57928?\n\"Answer: 2318*s**2 - 2*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 299 - 158. Let s = -140.99889 + a. Round s to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 10) + 7 + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -25*l. Let d(t) = t**3 + t**2 - 4*t - 3. Let w be d(-2). Let r(b) = 2215*b - 1 - 2216*b + w. Give r(i(u)).\nAnswer: 25*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 592 - 370. Let j(b) = -218*b + 443*b - 11 - 22*b**3 - h*b. Let i(v) = 21*v**3 - 2*v + 11. Let c(k) = 3*i(k) + 2*j(k). Differentiate c(s) wrt s.\nAnswer: 57*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = 3*f - 18*i + 19*i, 3*f + 178 = -2*i. Let t = 6 - 7. Let q be (t - (-8)\/6)\/(68\/f). Do 1 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 964749439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/337 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/254512640 and -33\/1988380?\nAnswer: 254512640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*a = a - 2, 5*j - a - 22 = 0. Suppose j*f = 4*q + 4, -2*q - 2*f + 7 = -11. Solve -q*n - 20 = -0*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3182 + 3182.00006826. What is q rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + p = -722, 2*t + 895 = 7*t - 5*p. What are the prime factors of t?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*(-15)\/405*(-42)\/(-5).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 9*k - 8. Let h be p(-7). Suppose h = g - 3*o + o, 0 = -2*g - o + 2. What is the third derivative of -6*j + 2*j**3 - g*j**2 + 6*j wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5305, 10608, 15911, 21214, 26517, 31820?\nAnswer: 37123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.115765 grams to micrograms.\nAnswer: 3115765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 7:06 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58361 or -58397?\nAnswer: -58397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 - 4 - (-5 - -8). Solve 4*u + u = a*w, 0 = 2*w + 2*u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 22 - (98 - 113)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10*c**2 + 12*c - 1. Let h(y) = 0*y**3 - 4*y**3 + 2*y**3 + 1. Let w(z) = -2*h(z) - 2*l(z). Factor w(d).\nAnswer: 4*d*(d - 6)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183382 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -48 + 5*g**2 - 17 - 431*g + 491*g = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010999 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -g + 4*g + 35, 2*f + g = 31. Let t(k) = 12*k + 6*k - f*k. Let h(o) = -3*o. Calculate h(t(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -650606, 110, -2 in ascending order.\nAnswer: -650606, -2, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*y - 2*y = 27, -4*o - y = 89. Let m be (-12)\/o + (-85)\/(-35). Solve 8 = m*l - 2*i + 26, 5*i - 35 = 5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -2, 4909, 1038 in ascending order.\nAnswer: -2, -2\/5, 1038, 4909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**2 + 19*f - 17. Let r(w) = 2*w**3 - 4*w**2 + 19*w - 16. Let l(n) = 3*r(n) - 2*u(n). Is l(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14881 a multiple of 647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 4:15 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -2*r + 35. Let d(j) = 3*j**2 - 3*j - 5. Let l be d(r). Suppose b = 2*v - 161, -2*v + 0*b = b - l. Calculate the highest common factor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001110000000100 (base 2) to base 5.\nAnswer: 30032143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-24) - 87\/(-24)*2. Solve n*i - 8*i - 6 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*z + 8*z + 12*z + (-5*z + 3*z + 3*z)*(4 + 0 - 3) - 2*z + 6*z - 11*z - z + 0*z + 3*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -27. Suppose 5*k + 7 = -8, -21 = -y*d + 3*k. Solve n + d - 6 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-6))\/(3\/9). Let n(s) = -s**3 - 4*s**2 + 4*s + 13. Let f be n(-4). Let j be ((-18)\/f - 6)\/(-2). Solve -3*a - v - 11 = j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117984 and 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2)\/10*90\/24\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 r when three letters picked without replacement from fwfrfrrvrv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3132355?\nAnswer: 5, 89, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (0 + (-6 - -3)). Suppose l*o - 11 = 2*o. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103.4913 - 0.0087. Let h = d + 104. Which is the closest to 1? (a) -2\/21 (b) h (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -298, -317, -56, 485, 1306?\nAnswer: 2407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.87114 rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -2\/57 (c) -69 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -284 + 296 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -33. Let o = s - -18. Let c = 36.46 - o. Round c to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, -0.02, -3, 1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 210*s**2 - 2400*s + 4000.\nAnswer: -5*(s - 20)**2*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 615, 1541, 2469, 3399, 4331, 5265?\nAnswer: 6201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10001232 - 101202?\nAnswer: 3300030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 576855\/(-18)*((-1120)\/12)\/7. What is m rounded to the nearest 10000?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30104114 (base 7) to base 4.\nAnswer: -21133220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 3*i + 42. Let o be l(-5). Suppose 0 = -o*f - 558 + 1086. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-144)\/(-64))\/3)\/(90\/16). Sort 1\/4, m, -17, -0.1 in increasing order.\nAnswer: -17, -0.1, m, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/110 + (-219)\/(-10). Solve 14 = 3*t - k, t + 3*k + 2*k = -v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2. Let b(a) = 5*a**2 + 105 - 105. Give q(b(f)).\nAnswer: -25*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 5. What is the closest to -1 in -2, v, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*c - 5 = 0. Suppose -4*i + 35 = -0*h + 3*h, -3*i - c*h + 40 = 0. Solve j + 0*j - i*w - 22 = 0, -5*j = -2*w + 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18090 - -26581. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, r: 1, x: 8}. Give prob of sequence ii.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 95*l + 410. What is the remainder when 181 is divided by t(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -674\/325 + 48\/25. Let l = -4 + 4. Which is the second biggest value? (a) f (b) 1\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5128*w**2 + 4856*w**2 - 55*w**3 - 113*w**3 wrt w?\nAnswer: -1008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 11*x**2 + 105*x - 90*x + 3*x**2. Let c(k) = -2*k**2. Calculate z(c(s)).\nAnswer: 56*s**4 - 30*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 91984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108532, -217037, -325534, -434017, -542480, -650917, -759322, -867689?\nAnswer: -976012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13618 (base 15) to base 3\nAnswer: -10011012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17, -111, -6, 6, 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -13*s - 11 + 8*s**2 - 15*s**3 + 14*s**3 + 7*s**2. Let g = 185 + -171. Calculate m(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*p + 81*p = 0. Solve 5*t = -b + 4 - p, 5*b + 3*t = 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003994401 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 6:32 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.98364 to two dps.\nAnswer: -33.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 60196\nAnswer: -1\/30098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 199b4d - 199?\nAnswer: 1999a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8708 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p = -10. Let z be 34\/4 + 3\/6. Let f = -5 + z. Solve -f*x - p*r = -8, -r - r + 4 = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**2\/9 + 365*g\/9 + 23800\/9 = 0.\nAnswer: -280, -85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 + 9 - 9 + (s + s - s)*(-s + 3*s - s)*(-74 - 26*s + 74) - 2 + 5*s**3 - 6*s**3 + 0.\nAnswer: -25*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321124.\nAnswer: 2, 43, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4024 is divided by 2009?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**7\/1260 - t**6\/240 - t**5\/120 + 11*t**4\/144 - t**3\/6 - 2*t**2 - 11. Factor s(p).\nAnswer: (p - 3)*(p - 1)**2*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5751000 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -578.353?\nAnswer: 2313.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385974.\nAnswer: 2, 3, 41, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 102306 = -f + 17*f. Is f a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143 + 427. List the prime factors of j\/6*12\/(10 + -8).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6*-1*-6. Suppose -2*s + g = -8. Let c(q) = q - 2. Give c(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 228*l + 14346. Calculate n(-63).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3024 and 16?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 13. Let k be 2\/w - 1412\/(-22). Suppose -3*a + k = a. What is the greatest common factor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1729 + -1255.5. Round t to the nearest 10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 0*x**4 + 0*x**3 - 2\/5*x**5 + 3\/2*x**2 - 4 + 0*x. What is the second derivative of g(d) wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - u**2 + u + 31. Suppose -4 = -3*f - m, -5*f + 0*m = -2*m + 8. Let p be a(f). Solve -5*q - p = 3*l, 3*l = -2*q - 3 - 13 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1302 (base 5) to base 10.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m**3 + 46*m**3 - 216*m**3.\nAnswer: -186*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, u: 4, i: 1, x: 1, l: 6}. What is prob of picking 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -241 or -237?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 11*d + 28 = 0. Let g be 224\/(-10)*110\/(-44). What is the highest common divisor of g and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 10*z**2 + 5*z - 2. Let d(i) = -9*i**2 - 5*i + 2. Give 5*d(t) + 4*k(t).\nAnswer: -5*t**2 - 5*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((0 + sqrt(8))**2 + 0).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3834875 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 45, -1\/10, 0.5, 4.\nAnswer: -1\/10, 0.5, 2\/3, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -3*m + 28, -62*s + 66*s = 4*m - 4 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**2 - 112*f + 50. What is z(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + 1)**2*5 + (sqrt(272) + 2 + sqrt(272) + 1)**2)*-4.\nAnswer: -9848 - 352*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**3\/6 + 3*k**2\/2 + 3*k. Let z be d(-5). What is the common denominator of 26\/9 and (-8 + -152)*z\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188533553, -188533560, -188533569, -188533580?\nAnswer: -188533593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1003 (base 5) to base 10.\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from ffeg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 680.69 + 13.31. Let k = -694 + m. What is the nearest to k in 21, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*z**2 + 184\/5*z - 128\/5.\nAnswer: 4*(z + 16)*(3*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**5\/15 - 11*j**4\/12 - 34*j**3\/9 - 4*j**2 + 457. Let n(x) = 0. Calculate x.\nAnswer: -6, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2553342 - 1131?\nAnswer: 2552211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**3 - 11*z**2 + 16*z + 13. Let o(n) = -4*n**3 + 10*n**2 - 15*n - 12. Let d(u) = -3*g(u) - 2*o(u). Is 9 a factor of d(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -11 - 1. Let h be ((-22)\/i + 1)\/(6\/(-9)). Solve h*f + 10 + 10 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4138, 4137, 4136, 4135?\nAnswer: 4134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/9 at least as big as 61395.38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*k - 4*m - 24, -5*k + 69 = -m. Suppose 3*z + k = 104. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 - -105.06. Let s = d + -2.16. Is -2\/15 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 33*t**2 - 66*t + 13. Let w(u) = -5*u**2 + 11*u - 2. Give 4*p(x) + 26*w(x).\nAnswer: 2*x**2 + 22*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 176082, 1, 2 in descending order.\nAnswer: 176082, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275758\/93 smaller than 13719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 610.4518+-0.67363179\nAnswer: 609.77816821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-3)\/2*(-88)\/(-21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 4:10 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 145*u**4\/2 - 28*u**3 + 3*u + 509. What is the third derivative of v(m) wrt m?\nAnswer: 1740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -105 (b) 21\/4 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2511, -4276, -6041, -7806, -9571?\n\"Answer: -1765*r - 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38216 + 38215.73993. Let f = 1533.26 - 1533. Let u = i + f. Round u to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -5, -4, -3, -347, 2 in increasing order.\nAnswer: -347, -14, -5, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/854862 and -115\/117912?\nAnswer: 3419448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + 103*w**2 + 8 + 4*w**4 - 8 + 2*w**3 - 5*w**4 as k*w**4 + o*w**2 + n*w**3 + b + c*w and give o.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 2*g - 2 + 4, 5*g = 5*p + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -33. Let n be (-3)\/(-9) + (-8)\/h. Suppose n = 2*k - k. Put k, 0, 3 in increasing order.\nAnswer: 0, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4172271.\nAnswer: 3, 1390757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -0.19.\nAnswer: 2.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2. Let i be (-1 + -1 - 2)\/r. Let f(a) = -5*a + 5. Let u(h) = h - 1. Let m(q) = f(q) + 4*u(q). What is m(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4) + ((-6)\/(-4))\/(-3). Which is smaller: -23\/11 or i?\nAnswer: -23\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12710 or 14786?\nAnswer: 12710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 366802656 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.3, 8\/9, 0.09, -1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-39)\/12)\/(1\/(-24)). Suppose -4*a + 1 = m, 5*m + 16 = -a + g. Calculate the highest common divisor of m and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (27 - (-665)\/(-30)).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*l + 105 + 15. Suppose -13 = 2*r - 3. Suppose -8 = -k - 2*p, -2*k + 9 = k + 3*p. Sort l, k, r in decreasing order.\nAnswer: l, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.52213 times -3?\nAnswer: -58.56639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 118 + 89*i**2 + 1\/3*i**3 - 19*i**6 + 0*i**5 + 0*i**4 + 0*i. Find the second derivative of a(z) wrt z.\nAnswer: -2280*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/18 and -59\/11450.\nAnswer: 103050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 19699?\nAnswer: -3939.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/3620 and 43\/130.\nAnswer: 47060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, 4, -1\/3, 221?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/((-1)\/3)*0. Let o = 110 - 100. Sort o, 5, 4, g in increasing order.\nAnswer: g, 4, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 802, 808, 818, 832?\nAnswer: 850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29875397087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 12 + 0 = 0. Put n, -1, 32 in descending order.\nAnswer: 32, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 - -33. What is the units digit of z*(-2 + 32\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0054481844 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*n + 3*n. Suppose 12 = 9*y - n*y. Let o be (y - 0) + (-1 - -2). Are 1\/5 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 - 72*s**2 + 256*s - 240.\nAnswer: (s - 6)*(s - 2)**2*(s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171 and 7239.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.5 - 12.5. Let w = -17 - g. Which is the third biggest value? (a) -3 (b) -7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 8 = 4. Suppose 3*h - 2 = -2*s + 8, 0 = s - 2. Suppose -4*i + g = -4*a, 5*i - a = h*i + 19. What are 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 tens digit of 2330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or 232\/73847?\nAnswer: 232\/73847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(6912) + sqrt(6912)) + sqrt(240)\/(sqrt(320)\/sqrt(4) - sqrt(5) - sqrt(5)).\nAnswer: 98*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28590.\nAnswer: 2, 3, 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 35108178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724 is divided by 235.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4752 - -35965\/7. Let g = f - 385. Suppose 0 = -5*c - 3*y + 40, 5 = -5*c - 4*y + 50. What is the smallest value in g, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*x - 4*w - 143, 4*w - 21 = -x. Let o = 81 - x. Suppose -3*k + o = -17. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(((u\/u**26)\/u)\/u)*u)**(1\/25)\/(u**(5\/16)\/(u**(-39)*u)) assuming u is positive.\nAnswer: u**(-2969\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 1590*m - 1.\nAnswer: -1590*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*j**4 + 1 - 2 + 3*j as b*j**2 + c*j**3 + p + x*j**4 + v*j and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - c + 1347 = -52, 2*k - 689 = 3*c. Suppose -j = 3*t - k, -3*t + 2*t + j = -111. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*a**3*w**6 + 21*a**3*w**2 - 10*a**2*z + a**2 - 23*w**6*z + w**2*z wrt w.\nAnswer: 840*a**3*w**3 - 2760*w**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 303934533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 2*r**2 + 5*r - 11. Suppose 0*v = v - 5*z + 15, -4*z = -3*v - 23. What is the units digit of y(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134520 divided by -3?\nAnswer: -44840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51028450*t**2 - 46051371*t.\nAnswer: -102056900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 223235123647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 2*y - 7*y + 4*a, -3*a - 19 = -y. Suppose x - 1254 = 5*s, -y*x - 4*s = -0*s - 4992. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(648).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 10. Suppose c + 2*c = i. Put c, 5, -5 in increasing order.\nAnswer: -5, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 58?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*w + 24, g + 0 = -w + 12. Suppose -g = -3*y - y. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18872349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 4799667?\nAnswer: 4799667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -58, -111, -186, -283, -402, -543?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.16665 to 1 decimal place.\nAnswer: -46.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -144, -513, -1260, -2385, -3888, -5769?\n\"Answer: -189*r**2 + 198*r - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 + g - 1. Let f be a(-3). Solve -2*u - 4*n = -n - 22, 3*u = -2*n + f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33\/((-121)\/(-11)) + 2. Solve 4*t + 2*b + p = 5*b, -t = 4*b + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*d - 15 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 10, -71, 1, -11 in descending order.\nAnswer: 10, 1, -1, -11, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 923*r**4*s**2 + 10*r**4*s - r**2 - 3486*r*s**2 wrt r.\nAnswer: 22152*r*s**2 + 240*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, e: 7, d: 2, v: 6, a: 1}. What is prob of sequence dm?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.376 * -313.\nAnswer: 1682.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49109 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnxlfbno. What is prob of sequence lox?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, a: 17}. What is prob of sequence ll?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527162?\nAnswer: 2, 29, 61, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.178919324 rounded to 2 decimal places?\nAnswer: 6.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 12*n - 2*n**2 + 7*n**2 - n**3 + n**2 - 2*n**3 - 24 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 16 + -15 + (-279 - -157).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 6:05 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46052.\nAnswer: 2, 29, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(72) + -1) - (sqrt(72)*-1 + -5))*-5*-6)**2.\nAnswer: 54000*sqrt(2) + 1620900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -647 + 648. Let c = -3 - -2.5. What is the second smallest value in -3, i, -4\/3, c?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(11)*2)**2 + -1)*-3*-6.\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 590313438 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -221449, 5, -12 in descending order.\nAnswer: 5, 0, -12, -221449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153016473\/11 + -305421434585\/21956. Let a = 2\/499 + n. Let t = -29\/60 + -983\/180. What is the common denominator of a and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*a + 2*q = 210, -a - 4*q = -12582 + 12488 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135 (base 8) to base 12.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 13 in decreasing order.\nAnswer: 13, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27775 = 20*o - 7385. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1119565?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 k when three letters picked without replacement from {y: 4, k: 12, s: 4}.\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33150000 rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 46*x. Let n(r) = 2*r**2. What is c(n(i))?\nAnswer: -4*i**4 + 92*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k + k - 18*k)*(0 - 3 + 6)*(3*k - k + 0*k) to the form p + i*k**2 + n*k and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 + -83. Let d(s) = 3*s - 35. Let g(i) = -5*i + 64. Let u(r) = 11*d(r) + 6*g(r). What is u(m)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 11. Suppose 5*s - 147 = 3*w, -s + u*s + 4*w = -43. Suppose 5*t = 2*t + s. Solve -x = 2*x - t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1576442 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10102 - 121?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -463502 + -3?\nAnswer: -463505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6768907 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -244 - -246. Let o be r - (18\/117 - 114\/(-104)). Determine y so that -1\/4*y**2 + 1\/2*y + 1\/4*y**5 + 0 - o*y**3 + 1\/4*y**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*x = -116*x. Let l(d) be the second derivative of x + 5\/12*d**4 - 3*d + 0*d**3 + 0*d**2. Let f(k) = 10*k**2. Give -6*f(g) + 13*l(g).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-10\/7)*i**6*i)**(-8\/13) assuming i is positive.\nAnswer: i**(-368\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 427067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9655037 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21101 + -20012102?\nAnswer: -13331001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k. Suppose 5*y - f + 2*f = -127, -115 = 5*y - 5*f. Let g be 3*(-2)\/6 + y. Let m = -22 - g. Let s(q) = 5*q - 1. What is m*j(u) - s(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47\/4 + 49\/4. Which is the closest to 1? (a) -37\/8 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 12. Suppose y = -4*n + 8. Suppose -3*h = 4*r - 8, -4*r + h = -0*h - 24. Calculate the lowest common multiple of n and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45405*i*n**3 + 2*i*n - 3*n**3 + 39867 with respect to i.\nAnswer: 45405*n**3 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1539) + sqrt(1539) + sqrt(1539) + sqrt(76)\/sqrt(4) + 0 - (sqrt(931) + 1*sqrt(931) + (-1 + sqrt(19))*5))**2.\nAnswer: 72*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8681793?\nAnswer: 3, 47, 67, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 904, 4, -5 in descending order.\nAnswer: 904, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**4 + 18*j**2 + 3252*j + j**3 + 0*j**3 - 3251*j - 2 to the form o*j**2 + l*j + y*j**3 + r + n*j**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**5 - c**4 + 1512357*c**2 + 23358*c - 594 wrt c?\nAnswer: 60*c**3 - 12*c**2 + 3024714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -92769.4 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 + -66. Let c(l) = -l**3 + 9*l**2 + 6*l - 37. Let s be c(k). Is s at least as big as 82\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/5 + 44\/55. Let v(x) = -x**2 - 10*x - 14. What is the remainder when 19 is divided by v(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5)\/(t**(1\/9)\/t*t))**(-43) assuming t is positive.\nAnswer: t**(989\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37831190 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -3*j + 35, -310*n + 315*n = 6*j + 35 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 583845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 28884?\nAnswer: 288840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 443225\nAnswer: 16\/443225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4594*h - 343520*h**3 - 4594*h + 343526*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -276, -661, -1188, -1863, -2692, -3681, -4836, -6163?\n\"Answer: -v**3 - 65*v**2 - 183*v - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 815420*p**3 + 1920360*p**2 wrt p?\nAnswer: 4892520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*v + 12*v**2 - 347*v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcscscsccccsscssssc. What is prob of picking 2 s?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**7\/6 + 133*g**3\/6 + 2*g**2 - 87*g. What is the first derivative of d(o) wrt o?\nAnswer: 140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142 + 147. Let l(v) = 84*v - 37. Is l(r) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 57. Let j be 3\/f - 398\/(-10). What is the highest common factor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 1\/5, -2, 1 in increasing order.\nAnswer: -2, -1, 1\/5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by (9\/(-6) + 2)*28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 12. Let r be q(7). Suppose -r = -3*l + y, 2*y + 15 - 5 = 0. Suppose 4*p - p - 5*x - 2367 = l, -4*x + 806 = p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 3*a. Factor -6\/7*p - 2\/7*p**3 + 2\/7 + 6\/7*p**a.\nAnswer: -2*(p - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 8:07 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6 = 2. Sort -6, 1, f in decreasing order.\nAnswer: 1, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2569 or 64045?\nAnswer: 2569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + 4*(sqrt(1280) + sqrt(20)) - sqrt(20)) + (sqrt(20) + 2)*2)**2.\nAnswer: 608*sqrt(5) + 28896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4050)*-1*4 + (-1 + sqrt(4050))*-4)*-3)**2 - (0 + -1*sqrt(4050)*1 + -1 + (sqrt(4050) + -1)**2 + sqrt(4050)).\nAnswer: -25830*sqrt(2) + 2328894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.839385 years?\nAnswer: 0.8839385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12*-2*1\/8. Solve 3*v - t = 3*a, 0 + 2 = -3*v - 2*a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158702, 317409, 476116, 634823, 793530, 952237?\nAnswer: 1110944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -4. Suppose 4*b = 69 + v. Calculate the remainder when (-4)\/40 + (-1402)\/(-20) is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 10:03 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 23\/6 (c) 34.52 (d) 7 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22700 or 3564118\/157?\nAnswer: 3564118\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8, 7, -16, -73, -176, -337?\n\"Answer: -2*g**3 + g**2 + 10*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.52158828 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 7*f**2 - 7*f. Let x be (-1)\/(-1)*-2*-1. Suppose 0*v = v - 5*s + 26, x*v + 3*s = 0. Calculate the lowest common multiple of 6 and r(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = r + 1, 0*o = 2*o + 5*r + 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4 = 0, -2*c - 535 = -4*f - 529 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 11) to base 4.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3233442132 (base 5) to base 4\nAnswer: 122131221033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2339\/182 + 272\/13. Calculate the common denominator of -51\/5540 and c.\nAnswer: 38780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 10) in base 7?\nAnswer: -2642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in 19, -4\/7, -4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 997*q**4\/24 + 5*q**3\/2 + 8*q**2. Is i(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 3*a + 3*a + 55 - 56. Calculate d(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**5*c)*c)\/((c\/c**(-1\/5))\/c)*(c**1)**47*(c**(1\/4)\/(c*(c\/((c*c\/c**(-1))\/c))\/c*c))**(-26) assuming c is positive.\nAnswer: c**(373\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 + 0.08. Let n = 1191 - 10721\/9. Sort n, 0.4, y in descending order.\nAnswer: 0.4, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3318197084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-191730)\/770*(-4)\/(-8)*(-16)\/24?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = 7, -78*h + 81*h = -t + 11. Which is the third biggest value? (a) 2\/33 (b) 1 (c) -0.3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7237302 - 7237302 + 4*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 10*c**3 + 6*c**2 - 3*c + 2. Let j(d) = d**3 - d**2 - d. Let f(a) = -g(a) - 3*j(a). Find the second derivative of f(w) wrt w.\nAnswer: -78*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - x**2 + x - 16. Suppose r - 9 - 6 = 0. Suppose -r*n + 11*n = 0. Give o(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*b**2 - 5*b**2 - 3*b**2 + 2*b**4 - b - 8*b**2 to the form f*b + c*b**4 + r + g*b**3 + o*b**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 36*t**2 + 393*t + 1147. Determine j(-14).\nAnswer: 2701","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 1. Let i(g) = 51*g**2 + 357*g - 357. What is 1428*c(f) + 4*i(f)?\nAnswer: 204*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1461.3 + 1461. Put s, 2\/11, -3, -2.2 in increasing order.\nAnswer: -3, -2.2, s, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 146*y - 815*y - 1957*y + 490*y in the form s + n*y and give n.\nAnswer: -2136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.07 - -10. Let t = 2.5 - 2.67. Let x = o - t. Is x bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 104 = 167. Sort 5, -4, x in descending order.\nAnswer: x, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from mmmmmommmmmmo?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-11)\/5 - -1)\/((-4)\/10). Solve -5 = -4*u + p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2 - 2*d - 8600. Let g be i(0). What is g rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53159\/22376 + -2\/2797. What is the common denominator of m and -43\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/5)\/(-5 + (-831)\/(-165)). Calculate the remainder when 74 is divided by (-4)\/b + ((-4992)\/22)\/(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z - 71 = 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 4*x - 3*z, 15 = -4*x + 2*z - 53. What are the prime factors of (-129)\/(-27) - 4\/x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -15*q - 19. Let b be r(-8). Suppose j + 4*j - 42 = -2*v, 3*v = 2*j + b. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97.53 - 98.0073. What is h rounded to two decimal places?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3) + (5 - (-1 - -6)). Sort 0, 5, -1\/5, m in descending order.\nAnswer: 5, m, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17742583 is divided by 1098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0115153599 to four decimal places.\nAnswer: -0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3294160.\nAnswer: 2, 5, 41177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 7 = 19. Suppose -5*q - 15 = -30. What is the smallest common multiple of 9 and 1 - (y - 1)\/q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25 or -76028?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-9 - -9 - -9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4 - 8. Suppose -2*w + 10 = h*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1074.8 (b) 6 (c) 0.5 (d) 1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -126 - -206. Suppose d + d - a = 0. What is the greatest common divisor of 16 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 1 + (4 - 2 - 4)*(1 - 2 + 2))*(-d**2 - 2 + 2).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**5 - 47*t**3 - 80*t. Let o(s) = s**5. Let l(z) = -3*o(z) + r(z). Find the second derivative of l(b) wrt b.\nAnswer: -20*b**3 - 282*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.77958 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 13 = 2*b, 4*b + 5 = -y - 0*b. Let l(x) = x**2 + 3*x - 16. Let c be l(y). Factor 0*h + 6\/13*h**c - 4\/13*h**3 - 2\/13.\nAnswer: -2*(h - 1)**2*(2*h + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99814 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5626532 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**2 + 40488696*q + 204916812972552 = 0.\nAnswer: -10122174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.738003 months?\nAnswer: 0.06150025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 71*b - 114. Let h be t(2). Calculate the greatest common factor of 980 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*n + 40*n - 11*n)*(-2*n - 2*n + 5*n) + 5*n - 3*n**2 - 5*n.\nAnswer: 38*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -193012164 divided by -801\nAnswer: 240964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 8:03 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1959 = 15*b - 561. Let z be ((-2)\/6)\/(14\/b). Let x(q) = -3 + 0*q + 4 + q + 1. Give x(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (14440\/96)\/19?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.78712836 plus 0.242?\nAnswer: -0.54512836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3\/5, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) -1\/125 (b) 5 (c) -19 (d) -2\/7 (e) -1\/3 (f) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 96\/7 + (-6)\/(-21). Let f(j) be the first derivative of -j**4\/4 + 5*j**3 - 15*j**2\/2 + 15*j - 110. Let i be f(o). Solve -8 = 3*c + i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 22. Put m, -14, 2 in descending order.\nAnswer: 2, m, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 0 + 1\/6*f**4 - 2*f**2 - 1\/2*f**3 + 0*f. Let a(c) = 44 - 13*c - 15 - 19. What is -2*a(b) - 7*y(b)?\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 45\/2 of a hour?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -222*d**2. Let b(j) be the second derivative of j**6\/180 + 5*j**3\/6 + j**2 - 209*j. Let n(o) be the second derivative of b(o). Determine n(l(g)).\nAnswer: 98568*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*l = 39, l + 1 = -2. Let n = 29 + w. What are the prime factors of n?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -116*d**2 - 864*d - 364. Determine k(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*v + 20. Let u be 12\/7*((-9)\/(-3) - v). Is 2 a factor of -1 + -3*(-44)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20293880 is divided by 85991?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -315, -319, -333, -363, -415, -495?\n\"Answer: -h**3 + h**2 - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-4635)\/(-108) + -43)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 352122672?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 365400 and 203.\nAnswer: 365400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 8 = -4*f, -2211*f + 2208*f + 30 = -14*o + 11*o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 38. Let h = 24260 + -24284.981. Let r = m + h. What is r rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.35892 rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/(-105) + ((-42)\/10 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/3 - 32254*r\/3 + 32252\/3 = 0.\nAnswer: 1, 16126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1449)\/(-1771)*8\/12*-1.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - -7)*(-1 + 3 + -14). Let m(s) = s**3 + 13*s**2 + 13*s + 18. Calculate m(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.2 - -4.8. Let m = -24 + s. What is the third biggest value in m, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11972 + -11969. Suppose -2*c + 6 = -0*c + 2*j, 2*j + 2 = 2*c. Solve s*i - 4*i - c*w = 7, -20 = 5*w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61.93 + 62. Let l = -0.9 + -0.1. Which is smaller: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = g - 101, -279 = -3*g + p + 19. Let v = g - 92. What is the smallest common multiple of 22 and v?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z**3 - z**2 + 6*z - 12. Let n(k) = -9*k**3 + 2*k**2 - 6*k + 12. Let c(f) = -5*n(f) - 6*t(f). Is c(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14260 by 36.\nAnswer: -3565\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-6) - 12\/8. Let r be (4\/10)\/(3\/5). Is i at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 420790?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, 1, -2.\nAnswer: -11, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 31782*p - 317829. Calculate g(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73 times 30?\nAnswer: -21.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*a**3 - 7 - 4 + 526*a + 522*a - 4*a**4 - 1049*a - 21*a**3 to the form v*a**3 + f*a + x*a**2 + q*a**4 + t and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.3 (b) 0.07 (c) 0.068 (d) 5\/101 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286, 575, 862, 1147, 1430?\nAnswer: 1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1211347360.\nAnswer: 2, 5, 7570921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-225))\/((-4)\/(-469 + 1)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 9:49 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3978?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 11*f - 6. Let h be c(7). Let o = h - 34. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 - 48. Let c(q) = -8*q - 1. Let y be c(m). List the prime factors of (-29)\/(-2) - y\/(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -43159 (c) -60 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -2\/17, -12963985?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/4 >= 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 5410*g - 82275.\nAnswer: 5*(g - 15)*(g + 1097)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 x, and 1 p when three letters picked without replacement from xxsxxxpssxxpip?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 94*f + 56. Let x(c) = 20*c + 12. Let d(y) = -3*p(y) + 14*x(y). Let w(n) = -n + 3. Let j(h) = -h + 4. Let g(k) = -3*j(k) + 4*w(k). Give g(d(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -313790, -313772, -313718, -313610, -313430, -313160?\nAnswer: -312782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, b: 2, y: 1, z: 1}. What is prob of picking 1 y, 1 b, and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -54 + (5 - -4 - 10). Suppose -m - 20 = -5*t + 6*t, 4*m - 4*t = -72. Let c = m - d. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.475 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42069892 to the power of 1\/2, to the nearest integer?\nAnswer: 6486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 9*r + 6.\nAnswer: 3*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1128526 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 32 (b) -13 (c) 1 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 (base 9) in base 8?\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-4706.\nAnswer: -470.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 2, -5, 0, -1.6.\nAnswer: -20, -5, -1.6, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**0*s))**(-2\/19)*((s\/(s*s\/(s*((s**1\/s)\/s)\/s)))\/s)\/s**(-3\/8) assuming s is positive.\nAnswer: s**(-415\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020022313 (base 4) in base 13?\nAnswer: a4720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (340\/238)\/(3\/42). Solve -49*o + h*o = 232 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -35*f + 2. Let v be d(-4). Let l be -7 + v - 15\/(3\/(-1)). Calculate the greatest common divisor of 80 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 433 - 418 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189351299.\nAnswer: 189351299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**2 + 25*w + 2174. Let i(b) = 3*b**2 - 17*b - 1357. Let k(c) = -8*i(c) - 5*j(c). Let h be 8\/1*6\/(-4). Determine k(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232204 (base 5) in base 6?\nAnswer: 503411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134810617 by -163.\nAnswer: -827059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 507727 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 1:22 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 2380000. Let k be l(0). What is k rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*r + 5 = -1, -5*c + 2*r = -5. Suppose -7*p + 33 = -4*p. What is the lowest common multiple of c and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n. Let l be (-1 + n)*4\/(-2). Suppose 2*g - 13 = 5*x + 5, l*x + 24 = 5*g. Which is the smallest value? (a) -0.2 (b) 2\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*x + 1 + 2*x + 12*x - 3*x + 30*x**3 - 77*x**3 in the form b*x**3 + t*x**2 + q + s*x and give b.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59969368?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11707 + -6365. Put d, 0, -0.4 in ascending order.\nAnswer: -0.4, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330662 (base 7) to base 15.\nAnswer: 12292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 18. Let c be (g\/6)\/(4\/16). Which is greater: 0.05 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7719.761 millilitres?\nAnswer: 7.719761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -79.5333 and 4?\nAnswer: -318.1332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20913676 a multiple of 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 84629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405)*4 + sqrt(405) + sqrt(405))*-6)\/((-1*sqrt(72))\/sqrt(8) + sqrt(72)\/sqrt(128))*3)**2.\nAnswer: 933120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -9 + -16 - (-7 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 73373, 73414, 73453, 73490, 73525?\n\"Answer: -s**2 + 44*s + 73330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 6832?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9a31 - -30e?\nAnswer: 9d3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*l + 17, 2*l - 2*n - 11 = n. Suppose -6 = -l*d + 5*d. Let t(f) = f**3 + 6*f**2 - f - 2. Determine t(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41353 (base 6) to base 7\nAnswer: 22104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.3. Let r = g + -0.2. Which is the nearest to r? (a) 4 (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 629 - 627. Suppose 5*b + y - 17 = 0, 3*y + 11 = 3*b + 4*y. Suppose 82 = b*z - 5*z - n*c, -4*c - 29 = z. Is z less than -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53353729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 + g**2 + 20420*g**3 + 3*g**2 - 10218*g**3 - 10198*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.044116 * 43.\nAnswer: -1.896988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**3 - 2 + 13*r**4 + 0 - 15*r**4 to l*r**2 + s*r**4 + m + f*r**3 + a*r and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4195571 and 7626.\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -232*n**3 - 236*n**3 + 18*n**2 - 2 + 700*n**3 - 231*n**3 - 2*n as k*n**3 + r*n + j*n**2 + v and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 + -45. Calculate the lowest common multiple of 12 and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {t: 4, a: 2, v: 5}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1 (c) 0 (d) -6859 (e) -0.3 (f) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/532)\/(1404\/126 + -11).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 20*l + 56. Give h(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 2184.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*k**2*z**4 + 1814*k**2*z + 142*k*z**4 + 4*k*z**3 + 81*z**2 wrt z.\nAnswer: -1008*k**2*z + 3408*k*z + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3349, 13, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*z - 121345 = 0, j - 4*j + 2*z + 72842 = 0. Is j a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4bd88 - 1?\nAnswer: -4bd89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mphuphhohhpz. Give prob of sequence zmu.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520739063.\nAnswer: 13, 71, 241, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {f: 2, x: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 682 - -4189. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5}. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/414)\/(13\/((-702)\/(-36)))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3674 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -2249.068.\nAnswer: 8996.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -117b73 (base 12) to base 9\nAnswer: -471586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 2220*m = 2225*m + 23, 0 = -4*m - 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -197 + 197. Which is the nearest to -4\/11? (a) -1\/3 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -37, -98, -211, -394, -665?\nAnswer: -1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*z + 1, 6*z - 4 = z - h. Let k(l) = 9*l**2 + 4*l - 2. Let s be k(z). Which is smaller: s or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02014 rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 441? (a) -1 (b) -3.1 (c) 3\/4 (d) 86\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27 + 16?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -5*c, 0*t = -3*t - c + 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1204 is divided by 1132.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -15*o**4 - 95*o**3 - 140*o**2 + 20*o + 80 = 0.\nAnswer: -4, -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/4 - 1\/4. Let r = l - -3. Which is the third biggest value? (a) 3 (b) r (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10523374.\nAnswer: 2, 17, 23, 13457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(3\/2)))**(1\/13) assuming x is positive.\nAnswer: x**(-3\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59718, 119435, 179152, 238869, 298586?\nAnswer: 358303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11415 + 12221.7. Let q = -1827 - -2690. Let y = q - r. Round y to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -12 - ((9 - 14) + 24 + -11)) + -90?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2. Let z be (12\/(-15))\/((-4)\/20). Let m(v) = -3*v + 0*v - z*v. Calculate f(m(r)).\nAnswer: 49*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 5128 = -5342. What is the second derivative of 941*c**3 - 441*c**3 + 7*c - w*c**3 wrt c?\nAnswer: -1188*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from hhsfswhnnwfshhfhs.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9664 - -11924. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-349*l + 151495 - 151495 + (4 - 3 + 0)*(2*l - 4*l + l) + 2*l - 1 + 1 + 0*l + l + 0*l)*(-2*l + 3*l + 3*l) to the form q*l**2 + w*l + u and give q.\nAnswer: -1388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**5\/20 - o**4\/3 - o**3\/6 - o**2 - 25*o. Determine s(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -156, -307, -458?\n\"Answer: -151*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/10*(-10)\/3. Let r = 26 - p. Let s = 35 - r. Calculate the lowest common multiple of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxux when four letters picked without replacement from xqvquxq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -35*k - 244. Let d be q(-7). Let j(u) = 7*u. Let m(b) = b. Determine d*j(w) - 4*m(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 21 = -13*f. Suppose -3*t - t + n + 293 = 0, -2*t - f*n + 163 = 0. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 8627 = 937. Let d = 2462 + c. Round d to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**7\/3 + r**4\/3 + 4*r. Find the third derivative of k(b) wrt b.\nAnswer: 840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8785397 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(99)*1)\/(sqrt(81)\/(sqrt(18)\/sqrt(2))) + (1*sqrt(539) + sqrt(176)*4)**2.\nAnswer: -sqrt(11) + 5819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2295234701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.49, 86695?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d. Let i(v) = 1392*v**2 - 2023 + 0*v + 0*v + 2023. What is r(i(s))?\nAnswer: -1392*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -2 - (-2 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - 120. Let o = -53.0106 - r. What is o rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 4*j + 2. Let t be h(-4). What is the units digit of 114\/24 + t\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/51 and -64\/4545.\nAnswer: 77265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -4.49?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 3*u - 4)*(-6*u + 4*u - u).\nAnswer: 9*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 4*u + 2*z - 314, -u + 5*z + 89 = 0. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630 = -5*x - 0*x. Let k = x - -213. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -31. Solve z = -s + 2*t + 11, 4*t + 1 = -3*s + 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -1, -4 in decreasing order.\nAnswer: 3, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549929 is divided by 310?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 90*l - 5. Let u(n) = -45*n + 2. Give -6*j(b) - 13*u(b).\nAnswer: 45*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 5229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*b = -164*b + 1700. Solve b = -14*i + 44 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*o - 2045 - 1171 = 0. Solve -o*y + 33*y = 27*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 4*z - 69. Suppose 0 = z*i - 2*i - 17160. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*i - p, 15 = 4*i - 3*p - 0*p. Suppose 5*u = 3*g + 3, i = -2*u - u + 9. Suppose 0 = g*n - 16. Which is smaller: n or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-6))\/((-32)\/(-48)). Let c(o) be the second derivative of 0*o**3 - 1\/20*o**5 + 0*o**4 + 3\/2*o**f - 3*o + 0. What is the derivative of c(i) wrt i?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*x - 32. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -372 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 7*k + 2*w = -1076, -2*k + 1111 = 5*w. Let n = 1630 - k. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-14))\/((-306)\/63 + 4). Let s(l) be the third derivative of -k*l**3 - l**2 + 0*l - 1\/24*l**4 + 0 - 1\/240*l**5. Factor s(r).\nAnswer: -(r + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -50080, -50081, -50092, -50119, -50168, -50245, -50356?\n\"Answer: -m**3 + m**2 + 3*m - 50083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -120 - (-170 + (-59 - -142))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 19\/10 (b) -0.2 (c) -2\/9 (d) 0.3 (e) -750\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 61 in -0.3, -4, 0.038?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s + s - 665 = 0. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - 3 + 3)*(2 - 4 + 1) + h**3 - 2*h**3 + 3*h**3 - 2*h**2 + 2*h**2 - 2*h**3 + (-3*h**2 + h**2 + 4*h**2)*(312 - 123*h - 312).\nAnswer: -245*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 2262512*d**2 - 639870068768*d.\nAnswer: -2*d*(d + 565628)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 8:13 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-3))\/(1404\/162)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 177*l**3 - 21209*l + 9*l**2 + 21210*l - 2*l**2 - 149*l**3 - 2*l**4 to the form b*l**2 + s*l + y + a*l**4 + z*l**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-30)*-2)\/((-26)\/65)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 96 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1 (b) 0 (c) -84\/23 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -613 * -909537\nAnswer: 557546181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 2:43 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*d**2 + 2415*d**3 - 2394*d**3 - 602*d**2 + 351*d**2.\nAnswer: 21*d**3 + 93*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -934*c + 989*c - 19 - 641 = 0 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8, 12, 12, 2, -24?\n\"Answer: -w**3 + 4*w**2 - w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*d - 27 = 16*d + 9*d, 0 = 3*p - 4*d - 9 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k*k\/(k*k\/(k**(2\/5)\/k)*k))\/k)\/k)*k*k**(-1\/2))**7 assuming k is positive.\nAnswer: k**(357\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 226782781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 36626100 to the nearest 100000.\nAnswer: 36600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30748663.\nAnswer: 11, 677, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 248.376 kilograms to grams.\nAnswer: 248376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 - 2*v + 3. Determine f(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 46*z**2 + 4269*z - 838. Give q(-93).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 335 and -0.17.\nAnswer: 334.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h - 28. Let w be n(-5). Let m(y) = -2*y**2 - 21*y - 15. Let k be m(w). Solve -1 = z - 4, -5*z + k = -5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k - 584 = -10*k. Let u = -14248 + 100760\/7. Let r = k + u. Which is the nearest to 0.1? (a) -0.2 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 14 = 1. Solve -4*n = -4 - 0, n - 4 = k*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 14. Let t(k) = -2*k - 6. Let r be t(-9). Let o be (4\/r)\/((-2)\/m). Solve 0 = o*x - 5*u + 5, -2*u = -3*x + u - 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.265 and -15096.04.\nAnswer: -15096.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 3 - v - 2. Let r = -234 - -247. Let j be h(r). Solve f - 4*m = 17, -6*m = 4*f - 3*m + j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {c: 2, g: 4, w: 2, f: 1, y: 2, a: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 597 - 598. Which is smaller: k or -2\/595?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 226607*o**2. Let l(y) = 2*y**2. Calculate l(g(t)).\nAnswer: 102701464898*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 3042.\nAnswer: 3041.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -351808422 divided by -807.\nAnswer: 435946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.42 and -789.\nAnswer: 11377.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/10 + (-22)\/(-5). Let q = 8 - y. Suppose q*s - 9 = s. Sort -1, 5, s in increasing order.\nAnswer: -1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695 (base 11) in base 7?\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a - 4*a)*(4 - 4 - 14*a).\nAnswer: 56*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -0.5. Let k be (-22)\/(-168) - 6\/(-21). Let g = -11\/12 + k. Which is the nearest to -1? (a) g (b) m (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 205?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*y - 34*y - 94*y)*(4*y**4 - 3*y**4 + y**4 + (-2*y**3 - y**3 + 4*y**3)*(-3*y + 4*y + 0*y)).\nAnswer: -291*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 465 (base 9) in base 11?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 + 3*j**3 - 5*j**3 + (-1 + 5 - 3)*(479*j**2 - 479*j**2 + 510*j**3).\nAnswer: 511*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - x. Let z(k) = -2*k + 2*k - k. Let l = 283 - 285. Give l*j(i) + 2*z(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4, -12, -24, -40, -60?\n\"Answer: -2*p**2 - 2*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3000*k - 6. Let f be x(-1). Does 42 divide f\/(-10) + 14\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 5*b - 3. Let u be r(-6). Suppose 4*f - 7 = 5*d - 37, 2*f = u*d - 16. Suppose 5*y = -5, d*l - 2*y = 2 + 4. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 10 = 4*z, 15*f - 28*f + 44 = -5*z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 11*m**2 + 3*m.\nAnswer: -m*(m + 3)*(4*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -416, -859, -1300, -1739, -2176, -2611, -3044?\nAnswer: -3475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 6. Let z = -0.3 - -0.4. Let l = 0.1 + z. Which is the third smallest value? (a) 3 (b) l (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-146164)\/2740575*(-30)\/56.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k + 10. Let i(c) = 7*c + 11. Let q(p) = 6*a(p) - 5*i(p). Let r be q(-4). Is -3\/8 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 9*v - 7. Let u be 58\/(-6) + 7\/(-21). Let r be g(u). Suppose d + 11 = -r*z, 0*z - 2*z + 4*d = 26. Sort 1, z, -1 in descending order.\nAnswer: 1, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2\/3 + 516*t + 7640\/3 = 0. Calculate t.\nAnswer: -382, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + (5 - (-14 + 5) - -1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-20)\/(-3) + (-20)\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4864 and 51732?\nAnswer: 62906112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*u**4 - 41*u**4 - 45*u**4 + (-1 - 1 + 5)*(2 + 1 - u - 1)*(-u**3 + u - u).\nAnswer: -108*u**4 - 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h - 40*h**2 - 14*h - 7*h**2.\nAnswer: -47*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6 + 2\/6. Let h(t) be the second derivative of t**5\/20 + t**4\/12 + t**3\/6 + 11*t**2\/2 - 15*t. Give h(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p - p**4 - 1603*p**2 + 530*p**2 + 537*p**2 + 534*p**2 in the form u + z*p**4 + n*p**3 + q*p**2 + c*p and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 39*k**3 + 10*k - 81*k**3 + 41*k**3 + 1 - 12*k**2 + 6*k**2. What is m(-8)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5360, -11544, -18502, -26234, -34740, -44020, -54074?\n\"Answer: -387*z**2 - 5023*z + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzzzwfpzyppyyzpp. What is prob of picking 1 y and 1 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**2 - 12*f + 2. Let z be v(2). Suppose 3*b + 17 = -5*n - 10, -4*n + 5*b + 8 = 0. What is the smallest value in n, z, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -3. List the prime factors of (33\/(-12))\/(p\/12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a. Let x(v) = -190*v**2 + 2*v + 329. Give x(q(w)).\nAnswer: -9310*w**2 - 14*w + 329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0\/v*v*v*v)\/v)**(-10)*(v**(-1))**(20\/9))\/(v**(-8)\/(v\/v**(-5))*(v*v*v\/(v*v*v**(-3)))\/v**(1\/6)) assuming v is positive.\nAnswer: v**(-37\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 161592 + -161559. Calculate the remainder when ((-76)\/(-3))\/((-1)\/(-3)) is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**6*(t\/(t*t**(-7\/3)*t))\/t*t\/(t*t\/t**2)*t*t*t**(-6)*t assuming t is positive.\nAnswer: t**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.292516ng to micrograms.\nAnswer: 0.007292516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 2, x: 2, l: 2, v: 5, k: 2}. Give prob of picking 2 l.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62*b + 228 wrt b.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**5\/7 - 45*y**4\/7 + 255*y**3\/7 - 675*y**2\/7 + 822*y\/7 - 360\/7 = 0.\nAnswer: 1, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 149118824 to the power of 1\/3, to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -72. Let o be f\/(-2)*9\/((-252)\/8). Sort o, -5, 3.\nAnswer: -5, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from eqytetygo.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*(-43)\/((-344)\/16)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -39*y - 345. Let n be c(-9). What is the greatest common divisor of 1698 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59067 is divided by 330?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 7*s**2 + 10*s - 12. Let i be w(8). Suppose 0 = -5*k + i*k. Suppose -c + 57 + 12 = k. Is 37 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 2*l**2 + l - 3. Let b be f(-3). Suppose -z - 4 = -b. Let t be (4\/(-10))\/(z\/10). Sort 3, 3\/7, t in decreasing order.\nAnswer: t, 3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426915 divided by -9487.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4 - 2828*z**3 - 21398*z**2 + 100012*z - 30855 = 0 for z.\nAnswer: -935, -11, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 449*x + 330*x - 274*x + 5058 - 8 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16068 = -11*u + 46791. Calculate the greatest common factor of u and 266.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 - 9 - 14 - 7*s + 20 + 4*s**2. List the prime factors of q(11).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62917549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00446321731 rounded to 4 decimal places?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33417*b - 66764*b - 7774*b**2 + 33347*b.\nAnswer: -7774*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 4*o**2 + 29*o**3 - o**2.\nAnswer: 29*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.03+2603357.55\nAnswer: 2603357.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 852*n**3 - 32*n**2 + 32*n. Let o(z) = -131*z**3 + 5*z**2 - 5*z. Calculate -5*h(r) - 32*o(r).\nAnswer: -68*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12389 is divided by 177.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.648 and -0.47.\nAnswer: -0.30456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 7 - 3 - y + 12*y.\nAnswer: 11*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 - (-1 + 13 + -50 + 7)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -4, 3, -3, 57, 5 in ascending order.\nAnswer: -50, -4, -3, 3, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11999 = -1258*r + 1271*r. Calculate the remainder when r is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 166299810 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 14*k - 2821. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 79145484 and 3184?\nAnswer: 316581936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 5, -1\/2, -0.13, 1.77 in increasing order.\nAnswer: -0.7, -1\/2, -0.13, 1.77, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1504\/(-152) - 4\/38.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 0, -0.1, -3.87, 3, -15\/4 in increasing order.\nAnswer: -30, -3.87, -15\/4, -0.1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11438, -11437, -11436, -11435, -11434, -11433?\n\"Answer: l - 11439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4*(-3 + 3 + (sqrt(4032)*-1 + sqrt(4032))\/((sqrt(176) + sqrt(44) + sqrt(44))\/sqrt(11)) + 4))**2.\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(275) + (-1 + sqrt(275) - sqrt(275)) - sqrt(275)) + -2 - sqrt(275)))**2.\nAnswer: 750*sqrt(11) + 7100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2095 + -1737. Let p be (-4)\/10 + (-2476)\/10. Let a = k + p. Calculate the greatest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14.9693 at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155 divided by -155.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15c6 + -56c?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -565*h**3 - 4*h**4 - 4*h**2 + h**2 + 563*h**3 in the form k*h**3 + m + q*h + o*h**2 + s*h**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 s when four letters picked without replacement from stdvcstd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10525234 or -10525247?\nAnswer: -10525247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14485752043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8910 = -1822*z + 2020*z for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 17 - 4 - 2 - 392*o.\nAnswer: -392*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34367 is divided by 179.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/24703287 and 109\/42910.\nAnswer: 247032870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10400 and 17797.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 200.1.\nAnswer: 100.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 6)*(0 + 2*n + 0) - 2*n + 3*n - 3*n + (-2*n + 0 + 0)*(4 + 0 - 3) to t + p*n and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 221 + -216. Let k(y) = -34*y + 4. Let r(m) = -33*m + 3. Let f(b) = -3*k(b) + 4*r(b). Let z(c) = -10*c. Determine j*f(x) - 14*z(x).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000084232963 to seven dps.\nAnswer: -0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 0*m + 2*m**4 + 2*m**4 - m**2 + m**2 + (3*m**3 + 3*m**3 - 7*m**3)*(2*m - 4*m + 0*m) - 1 - 1 + m**4 + 0*m**4.\nAnswer: 7*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44138*u - 44099*u + 88239*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2. Let o(d) = -2*d - 2*d + 3*d + 5*d. Calculate o(k(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 f when three letters picked without replacement from {e: 3, m: 3, f: 1, q: 1, w: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*r = 8. What is the third derivative of 6*i**2 + 0*i**4 + 2*i**2 - 4*i**2 - 7*i**r wrt i?\nAnswer: -168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 199 + 520. Let j = m + -739.9905. Let o = -21 - j. Round o to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.57 * 113789.\nAnswer: 178648.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1000507*g*u**2 + 341949*u**2 wrt g?\nAnswer: -1000507*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 78517 divided by 2\nAnswer: 78517\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(495)\/sqrt(9) + -4*-5*sqrt(55))\/(sqrt(20) - sqrt(40)\/sqrt(2) - (sqrt(560)\/sqrt(7) - sqrt(5))).\nAnswer: -19*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -y + 5, -2*v = v. Let u(q) = -21*q**2 + 196*q**3 - 4*q - 13*q**2 + y + 33*q**2. Is u(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -105, -119, -133, -147?\n\"Answer: -14*o - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -297646770*f**4 + 30681143*f**2?\nAnswer: -7143522480*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39056?\nAnswer: 2, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/317024 and 7\/8544?\nAnswer: 84645408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117 - -6)\/(816\/680*(-10)\/4).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = p - 28 + 18, -4*r + 3*p - 2 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -598, -512, -436, -376, -338?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -12. Let l = b - 7. Is -2 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 777, 1575, 2373, 3171?\n\"Answer: 798*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**(-2)*x)\/x))**(-5\/4))**31\/((x**(2\/9))**(-2\/19)\/((x**5\/x)\/x**(2\/7))) assuming x is positive.\nAnswer: x**(-538709\/4788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 - 5 + 3 + 6420*v**3.\nAnswer: 6420*v**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 723114 (base 10) to base 8\nAnswer: 2604252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305957020.\nAnswer: 2, 5, 15297851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/m**28*m)*m\/(m**(-5\/4)*m*m) assuming m is positive.\nAnswer: m**(109\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/15 - (-2)\/(-6)*-37. Let m = -15 - -21. Calculate the greatest common divisor of m and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 151, 129, 107, 85, 63, 41?\n\"Answer: -22*w + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2978793?\nAnswer: 3, 29, 101, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 2. Suppose -d*i - i - 4 = 0. Let b(k) be the second derivative of -k**3\/3 + k**2\/2 + 2*k. Give b(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7, 23, 39, 55, 71, 87?\n\"Answer: 16*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 2. Let c(v) = -62*v + 2. Calculate -c(h) + m(h).\nAnswer: 61*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -a + 12, 5*u - 36 = -16*a + 13*a. Let g(j) = 6*j**2 - 40*j - 11. What is the tens digit of g(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + o. Let y(r) = o*r - 7*r**2 - 3 + 4*r**2 + r**3 - r**2 + 6*r. What is the smallest common multiple of 4 and y(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4885*y + 666*y - 2 + 310*y.\nAnswer: -3909*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 575269309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30056 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxcc when four letters picked without replacement from ffcxrcfrccfccrfrff?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 17. Sort 3, f, 0 in ascending order.\nAnswer: f, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114 + -110. Suppose 3*x + 2*h - 20 = 0, -21 + b = -2*x - 5*h. Calculate the remainder when 29 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -9. Let d be c - (-3)\/((-6)\/(-10)). Let o(i) = -10*i**2 - i - 3. Let q(l) = -9*l**2 - l - 2. Let w(g) = d*o(g) - 3*q(g). Determine w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.5713 kilograms in nanograms?\nAnswer: 63571300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 10*c**3 + c**2 - 1. Let k = -171 - -311. Suppose 5*t - t - k = 0. Suppose 31*u = t*u + 4. Determine w(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 58 + 54 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -128*n + 132*n. What is the common denominator of 67\/2 and (-5)\/((-75)\/185) + (-8)\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25939\/15 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (4 - 0 - (-17 + 21))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2448 is divided by 46.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143074.\nAnswer: 2, 521, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 y when four letters picked without replacement from yqss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*-2*(sqrt(720) - sqrt(720)*-6).\nAnswer: 672*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*d - 65 = 0, 2*z + 5*d - 86 = 6*z. Let f = z - -28. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 18 + -53 + -2 - 4\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 114 = x, -x - 630 = -6*x - 5*j. Let g = x + -78. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/731695106 and 73\/16.\nAnswer: 5853560848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*s**3*v**3 + 79*a**2*s**2*v**3 - 7*a*s**3*v**2 + 2*a*s**2*v**3 + 5*a*s - 2*s**3*v**3 wrt a?\nAnswer: 2*s**3*v**3 + 158*s**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 450*h**2 + 29*h + 7. Let d be i(-5). Suppose 0 = -3*c + 11121 + d. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 732.2359 nanograms?\nAnswer: 0.0007322359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l - 6*l**2 + 3 + 6*l**2 + 0*l**3 - 3*l**3 to the form m*l**3 + u + o*l + p*l**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26763, 26693, 26623, 26553, 26483?\n\"Answer: -70*u + 26833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65152?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(3\/7)*v)\/v)\/((v*v*v**4)\/v))**(-46) assuming v is positive.\nAnswer: v**(1472\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 12\/4 - 3. What is the biggest value in 7\/2, 0, k?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1987496?\nAnswer: 2, 7, 35491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -379630 (base 12) in base 2?\nAnswer: -11011101101101000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110101001 (base 2) to base 6.\nAnswer: 10413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -4. Let c(b) be the first derivative of b - 5\/2*b**2 + 47. What is c(j)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 885762 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 0.045158702927.\nAnswer: -0.454841297073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, -1, 0.12, 1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116 - 113. Suppose q + 2 = 0, -x*n + 7*n = -3*q + 2. Suppose 0 = -n*s + 60 + 58. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14171933.\nAnswer: 23, 616171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbdb when four letters picked without replacement from gccdccbbcbbgbc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46626139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281, -628, -1207, -2018, -3061, -4336, -5843?\nAnswer: -7582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -51, -93, -141, -189, -231, -261, -273?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, -1534.\nAnswer: -1534, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 72590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 366741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 12.142. What is t rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 + -75. Put -1\/4, -7, 0.09, y in increasing order.\nAnswer: -7, -1\/4, 0.09, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 8*v**2 + 3. Let w be m(-8). Let t = -2 + w. Let z = -8 - -3. Which is the second smallest value? (a) 0.1 (b) t (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101111100 + -100?\nAnswer: -1110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1169*m**2 - 54. Let k(o) = 292*o**2 - 12. Calculate -4*b(p) + 18*k(p).\nAnswer: 580*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 16. Let m(i) = i - 1. Let x be m(c). Is 12 a factor of -16*((-1)\/(-4) + x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*x + 44 = 4*y + 85*x, 4*x = y - 26 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 168 = 7*k. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(0 - (-9)\/(-11)). Let j = 629\/63 + r. Solve 0 - 2\/7*i**2 - j*i**3 + 2\/7*i - 6\/7*i**4 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -21, -81, -165, -273, -405, -561?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/6)*q\/(q**(-5\/3)\/q)*(q\/(q*q**(-1)))**10 assuming q is positive.\nAnswer: q**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.916 plus -18687.028?\nAnswer: -18496.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sji when three letters picked without replacement from {s: 2, i: 1, p: 5, j: 1, d: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/10548065 and -97\/19178300.\nAnswer: 210961300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 8. Let o = 5 - 5. Which is the biggest value? (a) 4 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17262\/(-14385))\/((8\/(-6))\/((-5)\/3))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14180643 and 0.12037?\nAnswer: 14180642.87963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 136940 to the power of 1\/2, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -2. Let r(q) = q**2 - 5*q + 5. Let s be r(4). Suppose x = -3*b - 18, 6*x + 5*b + 37 = 2*x. Sort s, x, d in increasing order.\nAnswer: x, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 4, 9, 18, 31, 48?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 47*c**2 - 28*c + 1147. What is z(-46)?\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.17 - -0.23. Let w = 6 - 6.4. Let v = -0.5 - -0.3. Which is the closest to v? (a) s (b) -6\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 - 1 = 0. Suppose d*h + 10 = 5*h. Suppose 0 = h*r - 447 - 188. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 42. Let l be (-2)\/81*24\/8*f. Does -1 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 761*x - 797*x + 360 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2b (base 13) to base 4\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:41 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d. Let x(i) = -2*i + 18392. Calculate s(x(l)).\nAnswer: -6*l + 55176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6223603951468+-17\nAnswer: 6223603951451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/15 - (-231)\/45?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/8)\/((-315)\/(-42))*2\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**3 + 67*u**2 + 159*u - 2425. Calculate p(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**3 + 49*x**2 + 208*x + 2877. Calculate b(-14).\nAnswer: -1407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -0.158.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**3 + 52951*b**2 - 8*b - 52951*b**2.\nAnswer: -18*b**3 - 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z = 0. Which is the nearest to 2\/3? (a) z (b) -0.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13300*b**3 + 20*b**4 - 158*b**2 - 13320*b**3 + 922*b**2 wrt b.\nAnswer: 480*b - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 - 2*g**4 - 5*g**4 + (-g**2 + 2*g**2 + 0*g**2)*(-g**2 - 2*g**2 + 2*g**2) as w*g + s*g**3 + t*g**4 + l*g**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from slogsoozowossoslsooo?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 10525.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1. Let a(l) = -28*l + 8. Let x(u) = -120*u + 33. Let f(b) = -21*a(b) + 5*x(b). Determine -2*f(i) - 6*w(i).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 s when four letters picked without replacement from rpsrsggpgg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (313 - 290) + (-11 - 2) + -70.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 7:31 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36 + -19?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933222727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 3, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -225?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**4\/4 - d**3\/4 + 5*d**2\/4 - 3*d\/4 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292988 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 93, 351, 789, 1413, 2229, 3243, 4461, 5889?\n\"Answer: g**3 + 84*g**2 - g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 804 + 2*f**3 - 804.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14823 (base 9) to base 8.\nAnswer: -23642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l. Let h(v) = -2262 + 2268 + 44*v**2 - 6*v**2 + 29*v**2. Give h(g(z)).\nAnswer: 603*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-168) + (-2)\/6)\/((-9155)\/3662)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -16. Suppose 11 = -3*z + 4*z. Calculate the remainder when z is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4109 = 1801. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/945)\/((-4)\/(-9)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.54 - 3.1. Let x = b - -1.56. Let y(f) = -f**2 + 8*f - 8. Let k be y(7). Which is greater: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from licsv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + b - 1010, -2*v - 3*b = b - 1016. Find the common denominator of 31\/18 and 6\/21 - 1124\/v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 9*s**2 + 6*s - 10. Determine p(10).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -121c - -1220?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8755800 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 6 - 1, -2*q = 4*b + 10. Let s = q + -24. Let z = s - -24. Put z, -2, 1 in ascending order.\nAnswer: z, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6782?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - s - 27 = 0, m + 4 = -2*s - 5. Let p be (20 + m)*(1 - -4). Suppose 0 = 3*d + y - 71, 4*y - p = -3*d - y. Solve f - 6*f = -d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022101 (base 3) in base 6?\nAnswer: -11444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-6)*4\/(-1). Suppose 2*p = g + 4. Let t = -0.02 - 0.48. What is the closest to 1\/4 in 2, p, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -45317.2 and 12?\nAnswer: 45329.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 26*v - 55*v + 26*v)*(0 - 4 + 6)*(-1 + 0 + 0).\nAnswer: 6*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t**3 + 7*t**2 - 4*t + 1. Let u(q) = 12*q**3 - 15*q**2 + 8*q - 1. Let h(b) = 7*s(b) + 3*u(b). Let v = -13 - -8. Give h(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from yyaaayxaxay?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28898 + -16927. Is 11971 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -47*q**6\/6 - q**2 + 41*q - 3. What is the second derivative of s(c) wrt c?\nAnswer: -940*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 10. Let t be w(-8). Suppose 4*a - t*a = 24. Calculate the lowest common multiple of 16 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 3*i**2 + 5*i + 4. Let s be y(-4). Let g = 2 - s. Solve -2*q - 4*c + 10 = -g*c, -2*q + 2*c = 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.035795 to 3 decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283567115 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -22552?\nAnswer: -22552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6 - 6 + 7*d + 6*d**2. Let x(c) be the third derivative of c**5\/20 + c**4\/6 + 24*c**2. Let n(s) = 4*i(s) - 7*x(s). Let o(a) = a**2. Calculate n(o(l)).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 20*r**2 - 3. Let w(s) be the third derivative of 21*s**4\/8 - 2*s**2 + 5*s - 149. Determine f(w(t)).\nAnswer: 79380*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + y - 154, 4*k + 4*y + 63 = -121. Let r be (12\/k)\/((-6)\/4). Let f = r - 62\/75. Is f equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 33825 = c - 2086, c + 71816 = 2*w. Let w*a**2 - 35829*a**2 + 8*a + 126*a**5 + 142*a**3 + 316*a**4 + 120*a**3 = 0. Calculate a.\nAnswer: -1, -2\/7, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18969 is divided by 3934?\nAnswer: 3233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142323 (base 7) to base 12.\nAnswer: 13939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 2*t + 2. Let c be r(2). Suppose -74 - 34 = -c*h. Calculate the remainder when 28 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 3*q**3\/2 - 11*q + 1. Let l(v) = -5*v. Determine i(l(h)).\nAnswer: -45*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 5*m**2 + 7. Let u be c(-5). Find the third derivative of u*r**2 - r**4 + 7*r**4 + 35*r**4 - 11*r**4 wrt r.\nAnswer: 720*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c7 + 22568?\nAnswer: 22171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17354451 + 17351682 = -71*b for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 - 68. Suppose -26 - i = -4*n. Let o = 27 - n. What is the greatest common factor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - -21. Suppose -k = -4*g + 5*d, -9*d = -3*g - 6*d + 30. Solve -g*r = -r + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j - j - 1650 = 0. What is the greatest common factor of j and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 31 + 15. Suppose f*m = 4*m. Suppose m = -2*z + 4*z + 3*p - 36, -5*p - 72 = -4*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 4*y = 0, 0 = 66*s + 44*y - 21*y - 22*y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 76. Let h(q) = 4*q. What is g(h(l))?\nAnswer: 4*l + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(1\/3))*j)\/j**(1\/4))\/(j**(-4\/9)*j**(-2)*j*j) assuming j is positive.\nAnswer: j**(55\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/3)\/((-6425)\/(-1605) + -4).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2788b290 + 6?\nAnswer: 2788b296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4212))\/(sqrt(4) + sqrt(16)\/(1*sqrt(4)))*-5.\nAnswer: 45*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 12 = 5*c. Suppose -u + 9 = -4*i, -c*i - 1 + 17 = 4*u. Suppose 2*k - 11 = -3. Let o(y) = -6*y - 1. Let q(a) = 5*a + 1. Calculate k*o(d) + u*q(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1961 and 29605588.\nAnswer: 1095406756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -631, -649, -691, -769, -895?\nAnswer: -1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*n*q**3 - 1285*n - 74*q**4 - q**3 - q**2 wrt q.\nAnswer: -36*n - 1776*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -4 (c) 9318\/139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 66624\/((-12)\/7500*245 + 2\/5). What is c rounded to the nearest 10000?\nAnswer: 8330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**2 - 170*l + 673. Determine g(31).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12 - 639\/54)*-9. What is the nearest to 0.1 in 1, 4, x, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16865089*q**2 + 7601728*q wrt q.\nAnswer: -33730178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 944260, 944262, 944264, 944266, 944268, 944270?\nAnswer: 944272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -76ca (base 15) to base 11\nAnswer: -179a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*3*-6 + -2 + sqrt(11) + 2.\nAnswer: -17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (11 - 0 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -920117*h**3 + 63943*h**2.\nAnswer: -5520702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/9729645 and -89\/447340.\nAnswer: 38918580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-220)\/(-30)*(-4 - 2))\/(-1). Which is bigger: 226\/5 or q?\nAnswer: 226\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-28) + 2109\/42. Let x be 9\/((-12)\/4) - (-432)\/8. Let q = f - x. What is the common denominator of q and 34\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 = 4*u, 4*u - 2*w = -6 - 12. Let a be (1 + 2)*(-8)\/(-6). Let p = u + a. What is the highest common divisor of p and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 4*f = 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(110\/(-36)))\/((-2780)\/(-1390))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 602022 divided by -6\nAnswer: -100337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -c - 21*q - 19*q + 38*q, -5*c = -2*c + 65*q - 377 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 0. Suppose -5*f + 9 = -t. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r - 1\/3*r**3 + 2 + 0*r**2. What is the derivative of c(w) wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -12*k. Let b(s) = -14313*s + 37*s**2 + 14313*s. Give b(l(g)).\nAnswer: 5328*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/81)\/((20\/18)\/(-10)). What is the fourth biggest value in -1\/10, 1, q, 33?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 122.36135 and -167.\nAnswer: -44.63865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (1509*(-3)\/2070 - (-4)\/40).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 2*p - 6540 = -9*p. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o - 1. Let p(x) = -x**3 - 5*x**2 + 5*x - 1. Let u be p(-6). Suppose u*z = 2*z + 5*j + 4, 0 = 3*z - 3*j. Determine g(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 11838 = 97598. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 64*p - 67. Calculate g(2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**6)**(-3\/19)*(n**(-4))**(-11\/4) assuming n is positive.\nAnswer: n**(221\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53917 or -4553?\nAnswer: -4553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 52*v - 277. Let c be w(-57). Solve -5*s = f + c, -3*f + 1 = -s - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**3 + h**2 - h**2 + 10*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 - -119. What is the remainder when k is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -73*c**3 + c**2 + 3422*c. Let f(z) = -z. Give f(s(j)).\nAnswer: 438*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 129118.83 to the nearest 100.\nAnswer: 129100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2287.137, 12, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*z - 37*z - 736 - 765 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (2 - 7 - -16)) + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 462 + 79 - 1114 + 163*f wrt f.\nAnswer: 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -0.4 (b) -2\/11 (c) -3 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.04 (b) -3 (c) -2 (d) 9\/119 (e) -1 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -17, -1\/7, -5, 31, -0.4?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 13*n**2 + 9*n + 6. Let q be k(-12). Suppose q = -h + 3*h. What is the highest common factor of 210 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28695684 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -8*p**2 - 4*p**3 + 0*p**6 + 0 + 0*p**4 - 9\/70*p**7 + 0*p + 0*p**5. What is the derivative of q(u) wrt u?\nAnswer: -108*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 268.2803 micrograms?\nAnswer: 0.0000000002682803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*j**2*t**3 + 954*j**2*t**2 + 382*j*t**6 + 23*t**2 wrt t?\nAnswer: 348*j**2 + 45840*j*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i - 6. Let d(f) = -9*f**3 - 8*f**2 + 8. What is the smallest common multiple of d(-1) and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a hour in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14.5 - 1109121\nAnswer: -1109135.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80156557 and 61658890.\nAnswer: 801565570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -35*f + 101. Let x(j) = 42*j - 100. Let z(v) = 2*u(v) + 3*x(v). What is the first derivative of z(p) wrt p?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**3 + f**4 + f**2 + f**3 + 5*f**3 - 4*f**3 - 2*f - 7 in the form z*f**3 + d*f**2 + o*f**4 + q + w*f and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 563*p + 176*p - 2*p**2.\nAnswer: -2*p**2 + 739*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4253697*w**2 - 7998542?\nAnswer: 8507394*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44102.77 and 16.\nAnswer: -705644.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 9:27 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -156 - -158. Let p(l) be the third derivative of 0*l**3 - 1\/6*l**4 - 1\/12*l**5 + 0 + l**z + 0*l. Find the second derivative of p(m) wrt m.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 3*y - 32, y = -4*z + 3003 - 3019 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = t + 14. Let n = 263\/6 + t. Which is the third smallest value? (a) n (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.786 - -0.386. Let w = -0.4 - -0.9. What is the fourth smallest value in c, w, -4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24, 24, 6, -42, -132?\n\"Answer: -2*j**3 + 3*j**2 + 5*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uau when three letters picked without replacement from {u: 2, a: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -5 - 85) + (36 - 55) - 15.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide ((-2945)\/620)\/((-2)\/544)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (70\/28)\/(5\/2504).\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 - -a6a24?\nAnswer: a6a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11883*d + 11624*d = -3367 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and -6627789?\nAnswer: -125927991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -302330000 to the nearest one million.\nAnswer: -302000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*(sqrt(1573) - 1*sqrt(1573)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37283 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 854 + 2*q**2 - 1695 + 4*q**3 + 3*q**3 + 847 as t*q**3 + x*q**2 + n*q + b and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8500 and 1375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 51. What is the fourth biggest value in 0.2, t, 5\/3, 3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 985 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 15470, -8 in descending order.\nAnswer: 15470, 4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5*k**5*(k\/((k*(k\/(k*k**0\/k*k))\/k*k)\/k*k))**37)\/(k**(-1\/7)\/(k\/k**0))**(12\/11) assuming k is positive.\nAnswer: k**(866\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*q - 119 + 14168 = 0 for q.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - 71*w**2 + 5 - 6 + 2*w**3 + 69*w**2 + 2 to the form g*w + x + p*w**3 + n*w**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -5*v**4\/12 - v**3\/6 + 44*v. Let k(b) = -b**2 + b. What is -k(y) - o(y)?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552*y = 547*y + 20. Solve -l = -5*a - 14 + 3, -4*a - 28 = y*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36*1)\/(-4)*(44100\/(-5040))\/((-10)\/8)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 38, 31, 32, 47, 82?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.8, 1\/4, 2\/13, -21, 0.8, -4, -5?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75310 and 9126686?\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -116? (a) 5 (b) -2\/3 (c) -153.14 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -z - 13, -z + 17 = 4*v - v. Calculate the remainder when v is divided by ((-8)\/(-12))\/(2\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*p + 460 = 83*p. Suppose -p*t + 116*t = 3. What is the second derivative of -3*l**t - 45*l + 78*l + 3*l**3 - 8*l**4 wrt l?\nAnswer: -96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide (-6)\/7 - ((-317759)\/91 - -18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bij when three letters picked without replacement from jgpgbbiggbpobbbgj.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) + (1*sqrt(1960) - sqrt(1960)))\/(sqrt(8) + -2*sqrt(512)))**2.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 11 + (-4)\/22?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2056.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31738 is divided by 791.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by (-9699)\/(-122)*((-15)\/(-9) - 1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + b**2 + 5)*(-2*b**3 - b**3 + 7*b**3) + (-b**3 + 0*b**3 + 3*b**3)*(2*b - 2*b - b**2) - 2*b**5 - 5*b**2 + 5*b**2 - 6 + 6 - 7*b**5 + 1 + 4*b**5 - 1.\nAnswer: -3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -12482\/5 - 316\/5*v - 2\/5*v**2 = 0.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25966, -10472, 5022, 20516, 36010?\n\"Answer: 15494*k - 41460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**3 - 40*w**2 + 11*w + 15. What is a(13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 102346 - -11?\nAnswer: 102357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29, -31, -33?\n\"Answer: -2*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123\/79 + -12989\/4740. What is the common denominator of (2 + 0)\/((-3927)\/(-583) - 7) and x?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 76 + 184 = 0. Calculate the smallest common multiple of f and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2177 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 247 * -8.8.\nAnswer: -2173.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -359 - -727. Let s = 366 - j. Sort s, -3\/2, 1 in decreasing order.\nAnswer: 1, -3\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 3*a**4 + 25*a**2 - 8*a**4 - 25*a**2 + (-2 - a + 2)*(a**3 + 2*a - 2*a).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/45)\/((-29)\/(-174)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 4. Let j be p(0). Suppose a + n + j = 0, -5*n - 27 + 5 = 3*a. Suppose 0 = 5*z - 10*z. Solve -a = -z*w + w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.089 - 8020.27?\nAnswer: -8020.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a second in milliseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 - 91*f + 7. Give p(-39).\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*a - 110*a = 844. What is the second biggest value in 0.06623, -2\/9, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Suppose h*z + 840000 = z. Round z to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3304 + -637. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 30*p**2 + 54*p + 62. Let h be m(28). Solve 0 = 2*g + h - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccd when three letters picked without replacement from {w: 2, o: 1, c: 1, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.8 and 21.\nAnswer: 79.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = 7*i - 88. Let o(b) = 13 + 12 - i*b**3 + 5*b**3 - 1. Determine o(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 13*w = 0. Let l = w - -28. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9597?\nAnswer: 3, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5560711 to the nearest 1000.\nAnswer: -5561000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((3 - 6) + 5)\/1. Suppose -c*f + 8 + 0 = 0. Solve -s - 5 = 2*q, 4*q = 5*s + f + 21 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-3))\/((-810)\/(-4374)) + 2. Suppose z*w**2 + 0 - 6*w = 0. Calculate w.\nAnswer: 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47.4 - -47.34. Which is the third smallest value? (a) 7 (b) -4\/7 (c) 1 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 2*g - 4*g)*((g - 2*g + 2*g)*(2*g - 7*g + 3*g) + 2*g**2 + 6*g**2 + g**2).\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/10 + (16\/10 - 1). Let q(i) = 7*i**2 + n - 4 + 2. Let c(l) = -l**2. Give q(c(k)).\nAnswer: 7*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2964 (base 13) in base 11?\nAnswer: 4562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*-2 - sqrt(150))\/sqrt(5))\/(sqrt(810)*-1).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 23*f**2 - 54*f - 37. Let p be u(-21). Let o = p - 216. Let i be (1 - 0)\/(3\/15). Sort o, 2, i, -3.\nAnswer: -3, o, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 4. Let n be l(-5). Let c = n - -1. Suppose -q - c*q + 159 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34839 is divided by 1310?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.4241 + -11.5139. Let u = -9.9 + 9.838. Let s = y + u. Which is the nearest to -2\/5? (a) s (b) 1\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(-2 + sqrt(76) + sqrt(76))**2 + sqrt(76) + -1 + -2 + (-3*((sqrt(76) - (sqrt(76)*-1 + 0)) + sqrt(76) - (2 + 1 + sqrt(76))))**2).\nAnswer: -4046 + 278*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1092 and 32?\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + 73. Suppose -8*d + 11*d = r. Suppose -2*q + d + 66 = 0. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 157 = -4*q, 0 = -61021*q + 60937*q + n - 3361 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j + 20*j**2 + 9*j + 5*j + 3*j - 5*j**3 - 90 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 - -4 - (0 - 3). Solve 4*h = 8 - n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 2*u - 1\/3*u**3 - 52 + 5\/2*u**2. What is t(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 2*b**2 - 11*b - 6. Let o be m(-4). Suppose -h = 3 - o. What is the third smallest value in h, 0.8, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(2560))\/sqrt(8) + 4*(sqrt(720) - ((sqrt(720) - (sqrt(720)*-1 - sqrt(720))) + -3) - sqrt(720)))**2 + -1.\nAnswer: -2304*sqrt(5) + 46223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 127 - 9*y - 69 - 75. Let c = 8 + 1. What is the least common multiple of c and t(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 = 18. Let f = q + 9. Solve 0 = -2*j - 1 - f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 20*h + 5. Let a be i(2). Suppose 0*b - 8 = -2*b. Determine g so that 15\/2*g**b + 243\/2 + a*g**3 + 1\/2*g**5 + 135*g**2 + 405\/2*g = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3548.5 - 3549. Let g = 2 + -1.5. Let l be (5\/10)\/(82\/8). Sort g, w, l.\nAnswer: w, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 1:12 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9531702.\nAnswer: 2, 3, 199, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 746*f**2 - 4*f - 1. Is p(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0404 times 151?\nAnswer: 6.1004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 12*j**2 - j - 5. Calculate c(14).\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, h: 2, x: 3}. Give prob of picking 2 z.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p = -40. Let t = -17.1841 - -16.2841. What is the third biggest value in t, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -656 + -1?\nAnswer: -657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3 + 1)*(-3*l + 3*l + l**2).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -413.884 + 415. Let k = o - 0.605. What is k rounded to two dps?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*3\/3 - -49. Calculate the highest common divisor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 21*x + 4*c + 2631 = 0, -5*x - 5*c + 13130 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 448 and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 3\/5 (c) 0 (d) 118.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-11)\/(l\/l**(-3\/5)))\/((l*l\/((l**(-3\/10)*l)\/l))\/(l**7*l)))**(-2\/7) assuming l is positive.\nAnswer: l**(69\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 + 0*w**3 - w**3 + (6*w - 6*w + 5*w**2)*(-w + 1 - 1) in the form r*w + j*w**3 + h*w**2 + f and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 6:13 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -180767 - 1.32?\nAnswer: -180768.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4471, -35529, -119823, -283969, -554583?\nAnswer: -958281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -81255, -162593, -244019, -325533, -407135, -488825, -570603?\n\"Answer: -44*c**2 - 81206*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m = -2*y + 18, 21 = 2*y + 3*m. Suppose y*d + 14510 = 1694. Round d to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6769.23m to kilometers.\nAnswer: 6.76923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18*17\/(-1530))\/(18\/315)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57594.3s in minutes?\nAnswer: 959.905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 80064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsor when four letters picked without replacement from dojorrbsros.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 w, and 1 n when three letters picked without replacement from nnnmnawwwhnn.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(-10)\/2090*(-171)\/18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**3 + 14*z**3 - z**3 - 6*z + 2 - 10*z**3 + 2*z**2 to u*z + n + g*z**3 + d*z**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111524928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 1. Let p be (-2 - -2) + (12 - 12). Suppose p = 12*k - 15 - 21. Solve -s = -k*h - 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -25*i - 201. Let p be h(-9). Sort -2, p, -3 in ascending order.\nAnswer: -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -655.1 - -673. Let v = j - 15.9. Suppose 0 = 4*s - 3*n + 32, -4*n + 20 = 4. Which is the biggest value? (a) 0.2 (b) s (c) v (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 0*f - 364 + 0*f + 2*f - 4*f + 372. What is a(-9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4678054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3729720815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -323*g**2 - 89*g - 377. Calculate r(-3).\nAnswer: -3017","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w + 10 = 20*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 - 2*v**4 - v**4 - 4*v**4 + 3*v**4 + 2*v**4 + (1 - 2*v**2 - 1)*(-3*v**2 - 2*v**2 + 4*v**2) + v**4 - 2*v**3 + 2*v**3 - 3*v**4 + 3*v**4 - 4*v**4.\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 1 + 1. Let r(y) = -y**2 - 11*y + 27. Let g be r(-13). Put c, 2, g in descending order.\nAnswer: 2, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 27*x**2 + 25*x - 124. Let r be a(-28). Let w = r + 45. Solve 5*q + 20 = 5*s + q, 20 = w*s - q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfc when three letters picked without replacement from {c: 4, z: 2, f: 1, g: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 189, 742, 1665, 2958, 4621?\n\"Answer: 185*s**2 - 2*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.032 from -58776.\nAnswer: -58776.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15548 divided by -23?\nAnswer: -676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-1*(-4)\/10. Let f = 37.2 + -36.7. Which is the closest to -0.1? (a) f (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*b - 2, 0 = 2*j + 3*b - 3. Solve j = x + 84 - 77 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, 9, -69\/11, 57, 0.1, 1, -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305937261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - n + 4 = 2*o, o - 2*n = -1. Let h be 3 + (2 + o - 3). Let x(i) = 2 + 3 - 4 - h*i + 1. Let q(u) = -3*u + 3. What is 2*q(j) - 3*x(j)?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -73540000 rounded to the nearest 1000000?\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 842400052, 1684800102, 2527200152?\nAnswer: 3369600202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-9 - -22) + (33 - 19)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -734*f**3 - 2*f**2 + 2723*f wrt f.\nAnswer: -4404*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**2\/3 + 1444*h\/3 - 2896\/3 = 0.\nAnswer: -724, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.20201mg in tonnes?\nAnswer: 0.00000001720201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510*n + 514*n + 8 = 0, 4 = z - 4*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202222000111 + -2?\nAnswer: -202222000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 2*w**2 - w + 2. Let f be a(2). Let t be f\/(-6)*(-36)\/(-8). Solve -t = -3*j + x, 5*j + x = 3*x + 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-5)*205\/50*1\/(-3)?\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) 0.5 (c) 4\/7 (d) 0.073 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 - 12 + 12)*(-24 + 50 + 798*g - 17 - 12).\nAnswer: 1596*g**5 - 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -34*w + 19. Suppose w*y + 27*y = 2944. Calculate the highest common divisor of y and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 i when four letters picked without replacement from {q: 5, w: 3, u: 1, i: 7, l: 2}.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from {z: 1, x: 7, o: 1}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(3200) - sqrt(3200)*-2)*-4*2)\/((sqrt(2430)*2)\/(sqrt(27)*-4)).\nAnswer: 256*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 b when three letters picked without replacement from bnjjdjnj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**4\/4 - v**3\/3 - 6*v**2. Calculate y(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**2\/2 + 85259*u\/2 - 42630 = 0.\nAnswer: -85260, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*h + 6. Is (2684\/8 - -1)*h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/6 + 17 + -19.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (27\/54)\/((-2)\/636*-1). Suppose 5*q = -2*z + x, -z - 4*q + 372 = 4*z. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j + 0*j + 5*j)*(49 - 325 - 38) to the form l*j + w and give l.\nAnswer: -2512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9975821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132*n + 134*n - 29*n)*(-2*n - 2*n**3 + 2*n + (2*n**2 - 1 + 1)*(3 - 3 + 2*n))*(2 - 1 - 3)*(-4*n + 5 - 5).\nAnswer: 3792*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108090 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -2 + -3 + (-33 + -6 - -10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7527919 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15229.94 + 14948. Let n = 283 + u. What is n rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6947194500 rounded to the nearest 1000000?\nAnswer: -6947000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*m**2 - 183*m**2 + 4*m**3 + 79*m**2 + 22*m**2.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.25 - 0.33. Which is smaller: -1\/3 or b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/11100 and -59\/84.\nAnswer: 77700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 39. Let l = v + 44. List the prime factors of l.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -16. Let y(i) = 23*i - 3. What is the remainder when y(2) is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 12*x - 8. Determine l(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 100*q*s*z - 40*q*z**2 + 5*q*z + q - 799*s*z**2 - 41*z**2 - 2*z wrt s.\nAnswer: 100*q*z - 799*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g\/(((g\/(g\/(g*g**(-2\/11))))\/g)\/g)))*g**(-4\/3))\/(g**(-8)*(g*g**4)\/g) assuming g is positive.\nAnswer: g**(127\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2 - -12) + -3 + (-22 - 1) - 5\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -318 or -1?\nAnswer: -318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4\/5 of a meter?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put -3, 23, 5, 0, 937, -5 in descending order.\nAnswer: 937, 23, 5, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*y - y - 3*v, 0 = 4*y - 4*v - 4. Let m be (y*4*(-4)\/(-48))\/(-1). Let t be 5 + -1 + 5*m\/(-5). Solve -t*k - 3 = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 10720347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: 7 + (-10)\/((-40)\/(-29))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 0.5, 0.1, -4, 12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 6*d**2 - d - 6. Let w be v(-6). Let m = w - -6. Let k be (0 + 1)*(m + -1). Solve -k*n - 10 = u, 5*n + 2*u + 5 = -10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 310, -1\/24, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*d**3*z**3 - 9462*d**3*z**2 - 99*d**3 - d**2*z**2 - 1257*d*z**3 + z**6 wrt z?\nAnswer: 486*d**3 - 7542*d + 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51522272 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 34852860*x + 60736092508980.\nAnswer: 5*(x - 3485286)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*d - 3*f, d = -0*d + 4*f. Let q(m) = m**2 - 2*m - 1. Let v be q(3). Suppose v*t = 8*t + 54. Is t smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1499 + 1488. Let u(n) = n - 9. Let k(t) = -3*t + 17. Calculate m*u(q) - 6*k(q).\nAnswer: 7*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -34855 (base 10) to base 9\nAnswer: -52727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -7*v + 14 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106 - 33. Suppose -72 = 5*y + j. Let v = -14 - y. What is the greatest common divisor of 105 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 4. Let h be s(-4). Let i = -0.33 - -0.26. Put i, 2, h in decreasing order.\nAnswer: 2, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2400*z**2 - 855*z**2 - 857*z**2 - 844*z**2.\nAnswer: -156*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/10010 and 151\/42042.\nAnswer: 210210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 25. Calculate p(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 766*v**2 - 15263*v - 1123. Calculate f(20).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1215 in -29\/8, -2\/13, 0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178040905.\nAnswer: 5, 7, 31, 164093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (0 + -1)) + (134 - 132).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9977528 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2. Let a(w) = 469*w. What is a(r(s))?\nAnswer: 469*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**5\/30 + 22*d**2 + d + 97. Let v(u) be the second derivative of h(u). Let q(c) = -12*c**2. Give v(q(x)).\nAnswer: 288*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30.4 + 582.\nAnswer: 551.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14704 + -13819. Calculate the remainder when j is divided by 70.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/193, 2, 4\/7, -1.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 684023, 1368017, 2052011, 2736005, 3419999, 4103993?\nAnswer: 4787987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/19? (a) 1\/2 (b) -3 (c) -0.4 (d) 75.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -193, 1 in decreasing order.\nAnswer: 3, 1, -2, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from {w: 1, l: 2, y: 1, c: 1, j: 1, p: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 74*m**4 - 218*m**3 - 12*m**2 + 296*m + 16 = 0.\nAnswer: -1, -2\/37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 6. Suppose 7*s - 19 - 9 = 0. Let a = s + z. Calculate the greatest common divisor of a and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = 247 - 217 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d59 + -1d?\nAnswer: 4d3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1) + (-107 - -96).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 6*u - 32 - 10, 0 = -4*v + 4*u + 196. Solve v = 7*s + 98 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 10 + 2)*(25 + 6 + 0)*(2*n**3 + 2*n**3 - 6*n**3).\nAnswer: 1116*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24727553 divided by 1817?\nAnswer: 13609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1085200 divided by -21.\nAnswer: -1085200\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70214427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*f + 63*f + 6874 = 0. Suppose -6*p = -f + 574. Calculate the remainder when p is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 2*f + 1. Let h be z(1). Let o = -66 - -65. Let j = o - -5. Solve j*v - 5*v - 5 = h for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*g - 2958 = 12*g + 3621 for g.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2. Let u be 9\/(-9) - 6\/(-1). Let k = u - 3. Let c(y) = 0*y**2 + 7*y**2 - y**k. Determine -c(n) + 5*w(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 384 and 804?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -500, -498, -496, -494, -492, -490?\n\"Answer: 2*j - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12341512534 + -2?\nAnswer: 12341512532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*f**2 - 61*f**2 + 5652*f**3 - 42*f**2.\nAnswer: 5652*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8 = 2. Suppose -29*y = -27*y - o. Let -56*m**3 + 54*m**3 - 6*m**4 + 4*m - 2*m**y + 0*m + 6*m**2 = 0. Calculate m.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 5:45 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8804369845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**3 - 6*t**2. Suppose -3351 = -15*u + 1254. Let q = u - 301. Let p(m) = m**3 - m**2. Give q*p(v) - x(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*l, 10970*y - 5*l - 28 = 10971*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 183. Let i(g) = 3*g + 7. Suppose -22*z = -17*z - 15. Let a be i(z). Calculate the highest common divisor of a and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 2*u - 5*z, 4*u - 3*u + 3*z = 62. What is the remainder when u is divided by 37?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 43375*o - 6. Let p(z) = -86749*z + 11. Let f(l) = 5*b(l) + 2*p(l). Let y be f(4). What is y rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t + 281*t**2 + 5*t. Let g(v) = -65*v + 18. Let y(x) = -141*x + 39. Let b(h) = 13*g(h) - 6*y(h). Calculate r(b(s)).\nAnswer: 281*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 8*x + 6 = 21*x - 34*x, -2*x = -2*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -13913, -1\/4, -0.1 in descending order.\nAnswer: -0.1, -1\/4, -13913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 8*t + 15. Let c be y(-7). Which is bigger: 6 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/(9\/(-18)). What is the tens digit of 4\/(-4)*z*-29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 - 3*c + 3. Give g(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*f + 1, -2*m - 3 = -3*f - 1. Solve f = -4*y - 2 - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 12. Let s be b(7). Suppose -5*h + v + 2*v + 19 = 0, -4*h = -2*v - 16. Suppose -t + 1 = h. Sort s, t, 4, 2 in decreasing order.\nAnswer: s, 4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42.6 * -0.0017\nAnswer: 0.07242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oouoqqoouqouvo. Give prob of sequence qu.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/9)\/2*6. Let q = -6 - m. Let r be (-296)\/(-12) - q\/(-3). What is the highest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -250, -2306, -7890, -18766, -36698, -63450?\n\"Answer: -294*l**3 + 2*l + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -697 divided by -697.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.35383 minus -4?\nAnswer: 179.35383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/5))**24)**(15\/4)\/(q**(2\/5)*q**(1\/6)\/q)**3 assuming q is positive.\nAnswer: q**(733\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 6:14 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 285 in -2\/21, -1, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 5*m = 50. Suppose 6*j = 4*w + j - 45, -m = 3*w + 5*j. Suppose -4*k = -w*t + 1249, 2*t + t = -5*k + 779. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415594 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2) + 188 + -182 + -19 - -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 135098207299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8012789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*z + 538 = 45*z - 494 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14476, -115801, -390824, -926395, -1809364, -3126581?\n\"Answer: -14475*g**3 + g**2 - 3*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*h - 646, 4*c - 3*h - 1130 = 1427. Calculate the greatest common divisor of c and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3 + 9*y - 17*y + 9*y + 3*y. Is 13 a factor of k(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 657 or -1?\nAnswer: 657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*164.\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + v + 6. Let c be m(0). Let f(p) be the second derivative of -20*p + 1\/20*p**5 + 0 - 5\/12*p**4 - p**3 - 2*p**2. Calculate f(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d**2 + 9*d + 17. Calculate the remainder when i(-8) is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + c - 1. Let w(j) = 12*j**2 + 33*j + 9. Let r(d) = -w(d) - 9*y(d). Factor r(i).\nAnswer: -3*i*(i + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 - 95. Find the first derivative of -c**3 - 3468 + 3375 - 2*c**j wrt c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, o: 2, n: 4, x: 7}. Give prob of sequence rxoo.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3\/((-3)\/71)*(-203 - -188) and 7?\nAnswer: 7455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(153)*-1 + -5)*-6.\nAnswer: 30 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 16*n + 21. Let g be k(-15). Solve 0 = -3*w + 3 + g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*a + 169092 = -0*a + 169091, 3*a = -12 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*p + 166284 + 7482 = 40164. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 55 = -12*s. Solve -s*l = 5*r, 2*l + r = -0*r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.0344207 rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 32*m - 1. Suppose -49*v - 80 = -54*v. What is the remainder when b(2) is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 18371, 6, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7 - 3*s + 1 + 2*s + 0*s. Determine m(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 3*f - 7. Let j = 2167 - 2175. Let l(v) = 2*v**2 + 5*v - 11. Suppose 4*s - 2*y - 25 = -3*y, -s = 5*y - 30. Calculate j*o(h) + s*l(h).\nAnswer: 2*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 10*q - 14*q - 26, -2 = q. What is the units digit of (-2385)\/y + (-2)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, n: 1, z: 7, h: 3}. Give prob of picking 1 m and 3 z.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + -0.2. Let v = -3.92 - 0.08. What is the third biggest value in v, u, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/45 and 61\/32505195?\nAnswer: 97515585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 129833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10b6 + 3?\nAnswer: -10b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -271 + 194. Let q = h + 141. What is the remainder when q is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005451388 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*d - 7. Suppose -12 = 4*s - s. Sort 1, s, d.\nAnswer: s, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 897 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 35*r**2 + 2*r. Let o(n) = n**3 + 22*n**2 + 21*n + 2. Let m be o(-21). Let z(s) = -5*s**2 + 0*s**2 + 6*s**m. What is z(d(l))?\nAnswer: 1225*l**4 + 140*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -2*m - 2*g + 20, 0 = 5*m + 2*g - 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**6\/720 - 3*h**5\/40 - h**4\/24 + 3*h**2. Let q(u) be the second derivative of t(u). Calculate q(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 6:25 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 93\/4 of a century?\nAnswer: 27900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 3*r + 21, -19 = -32*l + 33*l + 3*r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-27) + (-816)\/(-459)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 3*d + 2*k + 74, 141 = -4*d - k. Let b(c) = -c**3 - 37*c**2 - 39*c + 34. What are the prime factors of b(d)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 61979, 61977, 61973, 61967, 61959, 61949?\n\"Answer: -j**2 + j + 61979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 28*a - 5*a**2 - 31*a.\nAnswer: -2*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 4*w, 3*w + 11 = -4*m + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(-2\/3)*x\/(x**(-4\/5)*x))**(-1\/39))**(-14\/5))**(-1\/4) assuming x is positive.\nAnswer: x**(-112\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15210 and 55770?\nAnswer: 167310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*k + 5*n - 4*n, 0 = -k - n + 6. What is the second derivative of 2*s - 1 - s**k + 1 wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pynyy. What is prob of sequence nyyp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 53*w + 29 = 50*w, -2*j = 9*w + 7 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*d + 0*d = 215, h + 2*d = 35. Suppose 49*j = h*j - 20. Let g = 1 - 1. Which is the closest to 0.1? (a) g (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1606241.\nAnswer: 7, 13, 19, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -252.6095.\nAnswer: -253.6095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 - -5) + (548 - 563) - 10) + 0 + 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19\/4 of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 147 - 150. Let v(o) = q + 2078*o - 1 - 2079*o. Give v(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, i: 3, h: 1, x: 5, p: 4}. What is prob of picking 3 o and 1 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30.5161 + -0.1861. Let i = 0.058 + -32.058. Let m = t + i. Round m to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 4*k - k + 2*k**2)*(-2*k + 0*k + 3*k) - k**3 - 6*k**3 + 3*k**3.\nAnswer: -2*k**3 + 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -87*s - 33*s**2 + 74*s**2 - 40*s**2 + 86 = 0.\nAnswer: 1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4884100 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -15. Let q be (-23 - -13)*(-1)\/(-2). Sort q, c, -7, -6 in descending order.\nAnswer: c, q, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**2\/2 + 2. Let i be 4\/(6 + (-3 - 1)). Let j(s) = 3*s**2 + s**2 + 0*s**i. Calculate j(r(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*w + 14*w - 8*w)*(4*w + 0*w + 4*w) to p*w + o + x*w**2 and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1328068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 3*n**2 - 5*n**2)*(5*n - n - 3*n)*(-2 - 1 + 5)*(-3 + 1 + 17)*(5 + 8 + 8).\nAnswer: -4410*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 21 = 4*u, -24*u + 27*u = 4*o - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3154991?\nAnswer: 7, 41, 10993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -505155 divided by -105?\nAnswer: 4811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.173 from 66901.\nAnswer: 66901.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**3 + 12*h**2 - 15*h - 2. Let y(u) = -6*u**3 - 13*u**2 + 16*u + 3. Let m be (-6 + (-105)\/(-10))\/(3\/4). Let l(q) = m*y(q) + 7*c(q). Factor l(p).\nAnswer: -(p - 4)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*s**2 + 14*s**2 - 11 - 25*s**2 - 3 with respect to s.\nAnswer: -22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.139726 - 5.139. Round d to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -40 + 55 - 2\/(4\/10). Solve b*h - 4*h = 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Let d = 4 + 0. Sort d, h, -4.\nAnswer: -4, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -133940 at most as big as -133937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 5\/2 + -6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2215526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 - 16*j**2 - 30*j + 99. List the prime factors of u(17).\nAnswer: 3, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-1 + 7)) + 2 - (-72 + 58)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -24\/61 (c) 17162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 4. Let d be o(4). Let y(r) = -r**2 + 5*r - 4. Let g be y(4). Suppose f + d*f - 14 = g. What is the remainder when 25 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8790616.\nAnswer: 2, 19, 151, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 462567783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418 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: Let n be 285*(72\/(-45) + (3 - 1)). Which is smaller: n or 123?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4088.4331 rounded to the nearest one hundred?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = -181*d - 119 - 903 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 4, -50765, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j**2 + 6*j - 4. Let p(m) = m**2 + m. Let z(g) = 6*p(g) - w(g). Find the first derivative of z(b) wrt b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1905 = -2*s + 887. Suppose -l = -3*m - 480, 3*l + m = -m + s. What is the remainder when l is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 176672 - 72871. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 32*n + 30. Let c(t) = 19*t + 16. Calculate 5*c(k) - 3*u(k).\nAnswer: -k - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1101101001 (base 2) to base 7\nAnswer: 2355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1624945 + 909045. What is s rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18687*n*w**3 - 18*n*w + 287*w**2 wrt w.\nAnswer: 112122*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -422998, 2 in decreasing order.\nAnswer: 2, -3, -422998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 8*n + 14. Let d be t(-6). Suppose d*z = -3*z + 15. Suppose 4*u - 2*c = -4*c + 132, -5*c = -z*u + 99. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. Sort -4, t, -3 in ascending order.\nAnswer: -4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(3)*3 + sqrt(108) + sqrt(108) + sqrt(108) + -3 + 1 + sqrt(108))**2.\nAnswer: -252*sqrt(3) + 1021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, a: 3}. Give prob of picking 2 a.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31424 and -392.\nAnswer: -12318208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6) - 2993\/342. Let v = o - -103\/57. Find the common denominator of -2 + (425\/(-6))\/(-5) and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 m, and 1 g when three letters picked without replacement from mbdbgmdgbmdbdbbfbdb?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*q - 9*q + 1, 4 = 5*q + 2*a. Suppose 2*f = 4*x + 2, 7*f = 6*f - 5*x + 22. Suppose y = u + q + f, 0 = y - 5*u - 13. Solve -3*l = -y*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/21, -0.3, -0.1323 in ascending order.\nAnswer: -0.3, -0.1323, 2\/21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2216019 is divided by 538.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27469524 divided by -6.\nAnswer: 4578254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 17*v**5\/10 + 35*v**2\/2 + 38*v. What is the first derivative of h(p) wrt p?\nAnswer: 102*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 d, and 1 j when four letters picked without replacement from jjnhnnndttththtdntq?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 72*d + 2814, -54904*p + 4*d = -54902*p - 150 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*o + 4, -t = -4*o - 32 + 12. Solve t*y + 2*a = -8, 5*y - 4*y + 4*a + 2 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2024 (base 6) in base 7?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-6)\/9) + 2. Let w = 1717 - 1710. Solve -x + y*r = r - 11, -3*x - r = -w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1250190738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -465 + 462. Let h(g) = -g**2 + 8*g + 309. Let n be h(22). Which is the second biggest value? (a) z (b) -0.6 (c) -13 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-6))\/((-30)\/(-4))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**2 - 480*z - 11315. Give v(-25).\nAnswer: -2440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7b715c (base 15) to base 5\nAnswer: -3002141222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224486 (base 10) to base 16.\nAnswer: -36ce6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39301933.\nAnswer: 11, 3572903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 54162874, 108325752, 162488630, 216651508, 270814386?\n\"Answer: 54162878*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(11) - (sqrt(44)\/sqrt(4) + -5)) - (2 + sqrt(1331) + 2).\nAnswer: -11*sqrt(11) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 140? (a) 4 (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + 0*i + 2*i**2)*(4*i**2 + 15*i**2 - 5*i**2) as u + l*i + w*i**2 + n*i**4 + s*i**3 and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 8797*j**3 - 4*j**2 + 7*j - 1. What is the hundreds digit of d(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -117, -5, 5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1638 and 51324.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**33\/t))\/(t*t**14) assuming t is positive.\nAnswer: t**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6716, 6686, 6608, 6458, 6212, 5846, 5336, 4658?\n\"Answer: -4*m**3 - 2*m + 6722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1848158 is divided by 16650?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r - 757 = 2*k, -2*r - 2*k = -1514. Suppose -2*x + 122 = -n - r, -15 = -5*n. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398415115?\nAnswer: 5, 7, 11383289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 444 + -445. Which is the nearest to i? (a) 3 (b) 2 (c) 5 (d) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6242498587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - -3241542631?\nAnswer: 3241542644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/6 - (-2)\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/2 of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 10*t = 14*t + 2260420, -4*u + 5*t - 2260375 = 0. What is u rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/2 of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b1c3 - -6?\nAnswer: -b1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 7*w + 3*w)*(4*w**3 + 2 - 2) - 7*w**4 + 9*w**2 - 10*w**2 - 2*w**2 in the form x + q*w**3 + n*w**4 + f*w**2 + d*w and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -3 - 5\/2*d**2 + d + 4\/3*d**3. Factor k(y).\nAnswer: (y - 1)*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 30698*q. Let s(t) = -t**2. What is s(d(u))?\nAnswer: -942367204*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 15. Let t = 5.02 - a. Let j = t - -4.98. Put 0.1, j, -0.1 in descending order.\nAnswer: j, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 + 13*d**2 + 7*d + 14. What is k(3)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 205219586?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-954)\/(-424))\/(3*1)*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119527, 119531, 119537, 119545, 119555, 119567?\nAnswer: 119581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 444634 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: Solve -4*h + 5*v = -11, 5*v - 12 + 27 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31872633 to the power of 1\/2, to the nearest integer?\nAnswer: 5646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = -o - 4*o, 0 = 5*o + 3*r + 22. Is (2 + 267\/(-6))*o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 936797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6838, 13582, 20326?\n\"Answer: 6744*o + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + z**2 - z + 1. Let g(d) = -d + 13. Let r be g(7). Suppose r*u + 5 = 11*u. Give m(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*v - 37 = 0, 207*s + v + 153 = 212*s. What is the greatest common divisor of s and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w = 19*w - 48 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13332 (base 4) to base 8.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146384 (base 9) to base 15.\nAnswer: 1b9e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.249 + -14.751. What is the closest to -1 in 7, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 4*y**2 + 4*y + 2. Let c be n(2). Suppose -3*h + 172 - 438 = -c*t, -397 = -3*t + 5*h. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p - 1. Let s be u(1). Suppose 9 = m - s. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -z - 6, o = -3*z + 4*z + 4. Let u be (9\/15)\/(o\/(-115)). Is ((-14)\/21)\/((-2)\/u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 54*s + 116. Suppose 0 = 5*x - 0*q - 4*q - 33, x + q - 12 = 0. What are the prime factors of o(x)?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 12*n - 87. Calculate r(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 + 374\/(-6) + 2. Put d, 1\/11, -2\/9 in increasing order.\nAnswer: d, -2\/9, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from {y: 10, c: 4, q: 5}.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217682 and 36057970.\nAnswer: 7022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832)*2 + 1 + (sqrt(832) + 3 + sqrt(832) + 2*sqrt(832) - sqrt(832)) + ((sqrt(832) - sqrt(832)*-1*3) + sqrt(832))**2 + (-1 + -3*sqrt(832))**2.\nAnswer: 88*sqrt(13) + 28293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2267800 divided by 226780?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/6)\/((-98)\/2786973) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-392)\/(-833)*(1 + 24\/(-32)))\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 48 = 6*f + f - 5*w, 0 = 27*f - 5*w + 312 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -16 - j + 5*j + 16. Let s(q) = -11*q**2. Determine s(y(g)).\nAnswer: -176*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557*p - 2*d = -515*p + 508, -5*d - 10 = 0 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**3 + 6 + 0*q**4 + 0*q**2 + 3\/5*q**5 + 0*q. Find the third derivative of w(x) wrt x.\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 10 = 2. Let i(s) = s**3 + 3*s**2 + 2*s. Let w(l) = -l**2 - l. Calculate j*w(f) + i(f).\nAnswer: f**3 - f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 15*r + 416. Suppose -25*a = -23*a - 22. What is the remainder when h(-25) is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g. Let w(f) be the second derivative of -17*f**5\/60 + 5*f**2\/2 + 6*f. Let a(l) be the first derivative of w(l). Calculate q(a(x)).\nAnswer: 34*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**4\/3 + 12*k**3 + 95*k**2 - 322*k\/3 = 0?\nAnswer: -23, -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**5\/4 - 59*f**3\/4 + 27*f**2\/2 + 28*f = 0.\nAnswer: -8, -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**3 - c**2 - 4*c - 3. Let a be -2 + 4 - (2 + -2 + 3). What is the remainder when 5 is divided by m(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 27*s - 10. Let o be h(-13). What is the units digit of (-3392)\/o + 5\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 4*j + 3. Let h be w(6). Suppose 5*i = h - 0. Suppose -i = r + 6. Sort r, 3, 2 in ascending order.\nAnswer: r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21, -556, -1107, -1626, -2107, -2544, -2931, -3262?\n\"Answer: o**3 + 7*o**2 - 605*o + 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -331360, -331382, -331416, -331468, -331544, -331650, -331792?\n\"Answer: -j**3 - 15*j - 331344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59919.5 grams to micrograms.\nAnswer: 59919500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 2*x - 7. Let z(w) = w**2 + 3*w + 6. Let m(y) = 2*k(y) + 3*z(y). Let r be m(-3). Is -2 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-180))\/(1 + 12\/(-9))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1177\/22 + 6\/4. Suppose -m + c = -19. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 3*m - 5*s, -5*m + 30 = -s - 2*s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(-4 + 4 + f)*(715*f + 219*f + 367*f)*(-2*f**2 + 8*f**2 + 4*f**2) to k*f**4 + g*f**2 + n*f**3 + l + t*f and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**4\/6 - p + 960. Let b(o) = -1805*o**2. What is b(h(f))?\nAnswer: -7220*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -179 + 180. Which is the closest to w? (a) -15\/2 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 288 - 16. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 9:25 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -30683, -13, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.536792 grams to micrograms.\nAnswer: 3536792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.7 - -25. Which is the closest to 0? (a) 3 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 639, 1251, 1851, 2433, 2991, 3519, 4011, 4461?\nAnswer: 4863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (8 + 1750\/(-217) - (-23712)\/(-1488))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83299 + -47936. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1634*u**4 - 31047*u**3 - 89889*u**2 + 593087*u + 363 = 0.\nAnswer: -11, -1\/1634, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255339, 510622, 765905, 1021188, 1276471, 1531754?\nAnswer: 1787037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 13 + 10 + b - 26. Let d be u(8). Solve -d*m = -10*m + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(1*(-2 - -1)). Suppose -5*t + 0*t + 180 = 5*u, 0 = l*t - 5. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2607671, -5215336, -7823001, -10430666?\nAnswer: -13038331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -52908, -52718, -52578, -52488?\n\"Answer: -25*q**2 + 265*q - 53148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/70 and -45\/282709?\nAnswer: 2827090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -22*h**3 + 2*h**2 + h. Let z be 1*((-2)\/5 + 132\/(-220)). Determine a(z).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-728 + 731 - (67 - 3)) + -50.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = 5*u + 14*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.3, -770, 0, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00112 rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-38) - 472\/152?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 5*t - 5. Suppose 28 = -4*h + 4. Let a(c) = 215*c - 1060. Let s be a(5). Let j(z) = z**2 + 2*z - 2. Calculate h*l(b) + s*j(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225935439?\nAnswer: 3, 47, 1602379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10387418.\nAnswer: 2, 31, 239, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 8 = -3*t + 5*l, 0 = 5*t + 3*l - 30. Let j(q) = q**2 + q**2 - t*q**2 + 0*q**2. Let h(f) = -f**2. What is h(j(v))?\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -8*s - 84. Let i = -21 - s. Suppose -5*d = -i*d - 625. Calculate the remainder when d is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 122 + -123. Let l(a) = a**3. Let o(y) = y**3 - y**2 - 1. Determine w*l(f) + 2*o(f).\nAnswer: f**3 - 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191 a factor of 8419179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i**(2\/13)*i))*i*i**(-6)*((i\/i**(1\/2)*i)\/i)**31 assuming i is positive.\nAnswer: i**(303\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71 - 151357?\nAnswer: -151266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 773*f. Let t(o) = -1057*o. Give b(t(l)).\nAnswer: -817061*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*z + 50866, -4*l + 20653 = -5*z - 81014. List the prime factors of l.\nAnswer: 25423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10694 + -2780. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 75 divided by -16742\nAnswer: -75\/16742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2 + 2)*2. Suppose -3*u = -r, -3*z - 4*u = -8*z + 6. Let v = 0 + z. Solve -f = -v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 329 - 265. Factor 2*a**5 + 25*a + 8*a**3 - 99*a - 12*a**4 + k*a + 12*a**2.\nAnswer: 2*a*(a - 5)*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18648 divided by 6?\nAnswer: 3108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -420530 (base 7) to base 6\nAnswer: -1314412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n + 17 - 26 - 17. Let m be z(-7). Suppose -3 = -m*i + 143. List the prime factors of i.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 8 = -h - 2*t, 3*h = -2*t + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3318\/2844 + (14\/(-8))\/(18\/(-132))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + 6. Let x(k) be the second derivative of 5*k**3\/3 + 15*k**2 + 2*k. Let g(q) = 14*a(q) - 3*x(q). Let v be g(-4). Is 3 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1672044208355.2 - 1.\nAnswer: -1672044208356.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51274, 205108, 461506, 820474, 1282018, 1846144, 2512858, 3282166?\nAnswer: 4154074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3*n\/(n*n**(-1))*(n*n**(-2\/7))\/n**(-3))\/((n\/((n*n**2\/n)\/n*n)*n)\/n*((n**(-4)\/n)\/n*n*n*n)\/n)**(6\/13) assuming n is positive.\nAnswer: n**(912\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**4\/3 + 420*d**3 - 198450*d**2 - 1184*d + 2. Determine r so that x(r) = 0.\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-28)*-7)\/((-2)\/(-36)*1)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 57158*i. Let y(t) = -649*t**2. What is y(h(c))?\nAnswer: -2120306989636*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/48060 and 11\/87576.\nAnswer: 3940920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 89018.12 meters in nanometers?\nAnswer: 89018120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/6233 and 91\/12466.\nAnswer: 12466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 42112*c + 252636.\nAnswer: (c - 42106)*(c - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 8 = -23. Suppose p + 2*t + 2*t - 9 = 0, f*p - 5*t = 45. Calculate the smallest common multiple of p and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 284?\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 7*f - 5. Let b be m(7). Calculate the common denominator of ((-4)\/7)\/(b\/(-20)) and -44\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 16, -46, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 5*c**2 - 2*c + 5. Give s(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 239 - -153. Let b = 1178\/3 - m. Factor 0*h**2 + b*h - 2\/3*h**3 + 0.\nAnswer: -2*h*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 19 = -u, 0 = -0*w + 2*w + 3*u + 6. Let d be w\/23*2\/3. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (267\/4)\/(12\/24). Which is smaller: f or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + f + 2. Let o be x(0). Suppose 0 = -0*l - o*l + 42. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + ((3 - 5)*3 - -5). Let -14\/11*f**3 + 14\/11*f**u - 4\/11*f**4 + 0*f + 4\/11*f**2 + 0 = 0. What is f?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 2*d - 4. Let g be y(-3). Find the second derivative of 4*r + g*r - 2*r**4 - 8*r**4 - 5*r**4 wrt r.\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21035 - 0.126?\nAnswer: -21035.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**2 - 4*o. Let b(x) = 7*x**2 - 7*x - 10*x**2 - 6*x**2. Let q(f) = 4*b(f) - 7*n(f). Let m(a) = -10*a**2. Give m(q(s)).\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -960*g**3*h**2*t - 13744*g**3*h*t - 2801*g*h**2*t - 123*g*h**2 - g*h*t + 2*g*t + 2*g wrt g?\nAnswer: -5760*g*h**2*t - 82464*g*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**(-7))\/r)\/(r*r*r\/r**(-4\/11)))\/(r**(-2\/21)\/r**36))**(-3\/10) assuming r is positive.\nAnswer: r**(-4589\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-4 - -1 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 39 - 15. Let u be 4\/d - 14\/(-3). Solve 0 = 5*i - u - 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 266 = 202. Suppose -v = -3*a + v + 40, -5*v = a - 2. What is the greatest common divisor of f and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o + 4*o + 0*o + 5*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -10*y**3 - 4*y + 24. Determine p(3).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*v. Suppose v = -4*n - 2*y - 2, -n + 5 = 4*n + y. Solve 10 = 5*r - n*r + 2*s, -25 = 4*r - 5*s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 1, s: 1, g: 1, i: 1}. Give prob of picking 1 o and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -17. Let s(g) = -9*g - 1. Let t be s(f). Let w be 5\/(60\/36) + -31. Is t < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 310 and 1457?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -153276 at least as big as -153323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 - 5*x + 1. Suppose -4*k = -4*l + 32, -279*k = -280*k - 4*l + 7. Let v(g) = 9*g**2 - 9*g + 2. Determine k*a(r) + 3*v(r).\nAnswer: 2*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/18 + 19\/(-3). Let g(c) = -4*c**2 + 1. Let d be g(-1). Sort h, d, -4 in decreasing order.\nAnswer: d, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 3*w**2 + 4*w - 1. Let i be s(4). Let y be 1\/(-4)*((-196)\/42 + 6). Let u = 3.7 - -0.3. Which is the second biggest value? (a) y (b) u (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -2165?\nAnswer: -2164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven halves of a decade?\nAnswer: 2220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 5, p: 8}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -52\/9 (b) -5 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6*n + 4)*(1 + 5 - 4) - 178*n - 128*n + 166*n.\nAnswer: -152*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14254 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2249, 2279, 2309?\n\"Answer: 30*v + 2219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 29. Let c = -0.03 + 21.03. Let f = c + g. What is the second smallest value in f, -4, -2\/19?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -24. Put 2, m, -2 in descending order.\nAnswer: m, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6674 - 6680.316. What is f rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.5 + -16. What is the third smallest value in 0.5, x, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-6)*1)\/1)\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-8)\/6)*3. Let g = 2 - y. Is 0 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3\/7 + 10*w**2\/7 - 16*w\/7 - 96\/7 = 0. Calculate w.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 7 - 8)*(-3)\/7. Which is the closest to o? (a) -0.4 (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 25 + 5 + -14.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -198965 and -36.8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 178 = -4*n, 5*n = -0*n + 4*i + 215. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -4\/5 (b) -2\/5 (c) -2 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12584 + -12113. Is 36 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1429809 = 3*a + 4*j + 29898, 2*a = 5*j + 933274. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45 * 3.96.\nAnswer: 178.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3786010 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 0 - (184525\/(-3025))\/(1*(-147)\/24)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 16*y**2 - 17*y + 3. Let w be o(17). What is c in -4*c**w + 15*c**2 + 3*c + 13*c - 6*c**2 + 3*c**2 = 0?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -53093 divided by -5?\nAnswer: 53093\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 7*y**2 - 4*y - 8. Let u = -487 - -2019\/4. What is the common denominator of u and m(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/55 + -1 + (-26)\/(-10). Is 9 a factor of 1*j*2\/(-4) + 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - sqrt(38)*-4*2)\/(-3*(sqrt(2) + sqrt(162))))**2.\nAnswer: 171\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 0*w**3 - 43\/5*w**5 + 0*w**2 - 1\/2*w**4 - 65*w + 24. Differentiate a(c) wrt c.\nAnswer: -172*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 190 = 825. Let c = 184 - r. Do c and -23 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81828.235 rounded to the nearest 10?\nAnswer: -81830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-90558)\/330 - (-4)\/(-10). Let m = f + 275. Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by -2?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 219 + 0*m**2 - m + 7*m**2 - m**2 + m**3 - 9*m**2. Let w be v(0). Let r = -64 + w. List the prime factors of r.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3 = -0. Let n be (-4 - -2)*(-4)\/((-16)\/(-6)). Let p(y) = -y + 1. Let k(j) = 4*j - 2*j - 1 - 2. Calculate n*p(o) + x*k(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 600.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 69187234 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 1 + 1 + (2*y + 0 + 0)*(0 + 2 - 1))*(1691*y**3 - 811 + 811).\nAnswer: 6764*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.44 (b) -0.091 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 32*u - 49*u + 2*k, -5*u - 11*k = -59 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1. Suppose 3*u = f + 1, 8*f - 12*f + 4*u - 4 = 0. Let d(j) = 99*j**2 - 89. Let n(h) = f*d(h) + 2*p(h). Differentiate n(l) with respect to l.\nAnswer: -198*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93712 = 36*v - 41720. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**5 + 760*f**3 + 9263*f wrt f.\nAnswer: 40*f**3 + 4560*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yldl when four letters picked without replacement from swdiwylwwwlsi?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w**2 + w - 3. Let j(k) = 4*k**2 - k + 2. Let n(y) = 5*j(y) + 3*q(y). Determine n(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -250 and -2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -412 - -536. Let v = i + -124. Does v = -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 * -36\nAnswer: -82.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1083*h + 223 = -1090*h + 4*w + 60, 0 = 3*w + 9 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -2561*l**4\/4 - 1172*l + 2516. Differentiate c(z) wrt z.\nAnswer: -7683*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-12) - (-5)\/6. Let o be (1 - v)\/((-4)\/2). Suppose -p - 8 + 4 = o, 3*n + 2*p - 163 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 9*g**3 - g**2 - 4*g + 3. Suppose -23*x = -24*x + 1. Let m be j(x). Solve -3*t + m - 16 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 583 and 121?\nAnswer: 6413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21144*z + 21144*z - 23*z**2.\nAnswer: -23*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w + 3. Let l(k) = 13*k + 37. Let b(d) = 26*d + 90. Let y(t) = -2*b(t) + 5*l(t). What is -7*n(m) + 5*y(m)?\nAnswer: 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y**3 + 2940770*y**2 + 7842140*y + 3921080 = 0. Calculate y.\nAnswer: -2, -2\/3, 196054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13168 + -7100. Calculate the greatest common factor of 148 and j.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 + 82 = i. Differentiate -16 + i*b**2 - b**2 - 105*b - 30 + 41*b with respect to b.\nAnswer: 2*b - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 1 + sqrt(272) - ((sqrt(272) - (sqrt(272)*-1 - sqrt(272)) - sqrt(272))*-3)**2) + 4)*5.\nAnswer: -48955 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9231*h. Let q(z) = -4004*z. Calculate k(q(v)).\nAnswer: -36960924*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 373951*b + 160154?\nAnswer: 373951","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498372*x = -497816*x + 14456 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p + 4. Let o be v(4). Suppose 0 = z - 0*z - 4*g - o, -4*g = 8. Suppose 4*i + 3*t = -t - z, 0 = -i - 5*t - 18. Put i, 0, 5 in descending order.\nAnswer: 5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 6 = 4*r. Suppose -r*o - 4 = -5*t - o, 3*o = 4*t + 1. Factor -z**3 + 5 + 3*z**2 - 4 - 5*z + t*z.\nAnswer: -(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 5, -12*f + 892 = 2*i - 10*f. Solve 0 = 2*p + 459 - i for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h + 3319932 = 55*h. What is the hundreds digit of h\/330 + (-3)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1297, 7853, 24947, 57847, 111821, 192137, 304063, 452867?\n\"Answer: 878*i**3 + i**2 + 407*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 8 = -4*z. Let h(f) = -9*f**2 - 349*f + 120. Let p be h(-39). What is the greatest common factor of p and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {j: 1, v: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -1. Find the second derivative of 63 - 63 + j*t - 6*t**3 wrt t.\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 - 3*x**3 + 16*x**5 - 15*x**5 + 6*x**4.\nAnswer: x**3*(x - 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 x when four letters picked without replacement from dzezjzxzzdzdd.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*y - 5*y + 2*u, 2*y + 8 = -5*u. Let p(m) = 3*m**2 - m + 6. Let w(a) = -4*a**2 - 4 + 2*a**2 - 1. Let f(b) = y*w(b) - 3*p(b). Determine f(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -3, 1\/7, -511, -1.8, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*v - 2*u, -8*v + 6*v - 5*u = -5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 1 - 1)*(63 - 60 + 103)*(25*d**2 - 43*d**2 + 25*d**2) as l*d**2 + u + g*d + p*d**3 and give p.\nAnswer: -742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 41. Factor 5*s**2 + 5*s**2 + 9*s - 6 - q*s**2.\nAnswer: -3*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18598 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 13) to base 2.\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365619 = -22*d - 365047 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -332210 - 20103013?\nAnswer: -21101223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22154297?\nAnswer: 11, 2014027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10 + 187\/(-55). Does 29 divide 104 + 9\/j + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2943 and 2022543.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (574 - 483) + -61 + 4?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-26)*((-3984)\/32 - -1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 2, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -38 and -1792 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -6) + 0 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17096864 a multiple of 632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x + 399 + 141 = 0 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 60 = -5*s, 5*j - 4*s + 0*s = 96. Suppose u = -w, -j = -5*w - u + 4*u. Is 3*w\/6*379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 270.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = -2*n - n, -5 = -r. Suppose n*u = -4*o - 12, -u + 21 = -5*o - 8. Suppose u*t - 25 = -t. Solve -3*c - 5*h + 10 = 0, -5*h - 5 = -c + t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04485 rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24431681.000065 - -24431619. Let z = y - -62. Round z to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*o + 18 - 0, -5*n - 2*o = -2. Suppose -n*v - v = -1410000. Round v to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -962, -3818, -8578, -15242?\nAnswer: -23810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 95\/168, -11, -39?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.34743 - 0.24743. What is the closest to -2 in 25, f, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43201 (base 5) to base 12.\nAnswer: 183a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2 - 1) + 1. Let g = -3 + 7. Suppose -g = -2*c - m. Solve 3*u - 4*u - c = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*sqrt(1470)*2)\/((sqrt(80) - (-1*sqrt(80) - sqrt(80)))\/sqrt(8) - (-2*sqrt(160) - sqrt(160))) + 3.\nAnswer: -14*sqrt(3)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 10:34 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 153\/1 - 7 - -1. Let l(r) = -6*r - 9. Let p be -1 - 3\/6*8. Let j be l(p). Calculate the greatest common factor of k and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 0*r - 6\/5*r**5 + 0 + 0*r**4 - 31\/3*r**3 + 63*r**2. Differentiate i(q) wrt q.\nAnswer: -144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3*a - 9 = 0, -2*k - 3*a + 2*a - 2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4156 is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.7 + 7. Let u = q - -15. Which is the fourth smallest value? (a) u (b) 5 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*t - 215 = -2966 + 491 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 5*v - 26 + 12)*(-1 + 5 - 1)*(5 - 5 + v)*(4*v - 3*v + 2*v)*(2 + 1 - 1)*(-4 + 0 + 5) as b*v + h*v**2 + o*v**3 + w and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 83, -57\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4 + 35*j**3\/3 + 94*j**2\/3 - 20*j - 24 = 0.\nAnswer: -6, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifiefrrrrfrrgerrrri. What is prob of sequence frrg?\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 100032 (base 5) in base 3?\nAnswer: 11022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5224673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**2 + 0*z**2 - 3*z**2 + (-146*z - 65*z + 82*z)*(z + 2*z + 1 - 2*z) - 3*z**2 + 0*z**2 + z**2 + (-9 + 12 - 7)*(0*z**2 - 5*z**2 + 3*z**2).\nAnswer: -122*z**2 - 129*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -475 - -3?\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 410 divide 286167700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000064502 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4 + 8 + 0*z + 7*z**2 - 2*z. Is x(-4) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*a + 105*a + 790 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 + -195. Let l be 2\/(-5) + p\/(-10). Is 6 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2. Let n(j) = j**2 + 3*j. Let q(r) = 3*r**2 + 11*r. Let l(h) = -22*n(h) + 6*q(h). What is l(z(p))?\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5668176 by -4.\nAnswer: 1417044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**2 - 8 + 4*f**2 - 20*f**2 + 5*f**2 to the form t + a*f + b*f**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 3*d + 3, 71795*d = -6*g + 71786*d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.18 (b) -16 (c) -1999 (d) -1\/8 (e) -3 (f) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1872435 divided by 374487.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -14*l**3 - 36*l**2 + 170*l + 19. Calculate s(5).\nAnswer: -1781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3031024107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 2:28 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 p when three letters picked without replacement from qppqee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**5 + 36*m**4 + 106*m**3 + 138*m**2 + 58*m + 6. Let a(c) = -c**2 + 1 - 30*c - c**5 - c**3 - 27*c + 56*c. Let s(l) = -6*a(l) + f(l). Factor s(t).\nAnswer: 4*t*(t + 1)*(t + 2)**2*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*d - 30*d + d**3 + d**2 + 1 - 20*d - 28*d in the form w*d**3 + f*d + i + h*d**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7154 - -7307. Solve -175*i = -o*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -372699, -372703, -372707, -372711?\nAnswer: -372715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72702304, 72702306, 72702308, 72702310, 72702312?\nAnswer: 72702314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12421, 9359, 4257, -2885, -12067, -23289?\nAnswer: -36551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - 0.19. Let d = -0.35 + 0.3. Let b = v - d. What is b rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1299 - -1297 - (28 + 1)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 97*n - 1. Let j(a) = a - 2. Let c(l) = 3*j(l) - o(l). Differentiate c(q) wrt q.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31999989 is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*t = -3, -3*d - 3*t + 298 = 289. Solve -4\/3 - 10\/3*a + 2*a**d = 0 for a.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 0*a - 7\/3*a**6 + 0*a**2 + 1\/3*a**3 + 0*a**5 + 13 + 0*a**4. Find the third derivative of h(u) wrt u.\nAnswer: -840*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2. Let w(p) = 2490*p - 1. What is l(w(o))?\nAnswer: -6200100*o**2 + 4980*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53.11 - -51.01. Is 5.1 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Let r be 26\/(-4)*h - 2. What is the units digit of (-54)\/(-10) + 6\/r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11989543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8)\/(m*m**(-4\/19)*m*m))**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, z: 3}. Give prob of sequence zh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -133*b*k**2*y - b*k**2 + 3*b - 2*k**2*y - 10*k**2 + 36*k*y - 134*y - 1 wrt k.\nAnswer: -266*b*y - 2*b - 4*y - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/98990 and 81\/50.\nAnswer: 494950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107482 is divided by 11909.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 3.78582?\nAnswer: -11.35746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -175255*y - 2453571. Give g(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o**2 + 39*o**3 + 16*o**2.\nAnswer: 39*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-892)\/20)\/((-4)\/20*2). Let c = -110 + z. Find h, given that c*h + 1\/2*h**2 + 1 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65817 + 0.003842.\nAnswer: -65816.996158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4) + 12*(-37020)\/(-160) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 28224618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35, 43, 55, 71?\n\"Answer: 2*q**2 + 2*q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 3*h**2 + 5*h + 4. Let f = 1498 - 1497. Let r(x) = -x**2 + x + 1. Determine f*k(s) - 5*r(s).\nAnswer: s**3 + 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874961.\nAnswer: 157, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 - 3*j**2 + 0*j + 9 - 6*j + j**3. Suppose 8 = 3*d + 5*k - 8, 3*k = -3. Calculate the remainder when 46 is divided by o(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -1\/2 (c) -4870 (d) 4 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002682 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4037926397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -3*s - 70. Let v(g) = 2*g - 12. Let j be v(s). Solve 4*i - j*i = -10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 9*g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4655089.\nAnswer: 227, 20507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 23 = 5*n, -5*i + 4*i = 2*n + 9. Let h(y) = -y**3 - y + 8. Let d(v) = -6*v**3 - 6*v**2 - 11*v + 41. Let q(b) = d(b) - 5*h(b). Calculate q(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 a factor of 426360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -625316, -1250615, -1875914, -2501213?\nAnswer: -3126512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 3*u + 75. Suppose u = 3*j + 2*j. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 4*m - 3. Let h be d(1). Let s(k) = -k**3. Calculate s(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 27 and 161\/6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/342 and 103\/38?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -12. Solve -h + 2*b = 1 - 6, 0 = -2*h + m*b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*v - 121*v = -67*v - 406 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 0.09 (c) -75 (d) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/7, -4, 4, -120559 in decreasing order.\nAnswer: 4, -0.2, -2\/7, -4, -120559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 161914060 a multiple of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 2 + (4 - -4). Suppose -3*r + 15 - 4 = x, 0 = w*x + 2*r - 42. Solve -4*k = -x*k - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8\/3 (b) 4\/7 (c) 2 (d) 2\/11 (e) 4 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2552 and 2547 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 + 10000100?\nAnswer: 1110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -691518*u**5 + 2*u**3 - 446631*u**2 wrt u.\nAnswer: -41491080*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + g - 38, 2*k = -2*k - g + 31. What is the highest common factor of k and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1 + 3\/15)*1)\/((-6)\/(-90)). Let n(m) = m**2 + 13*m + 17. What is n(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -206902865.7 and -2387.\nAnswer: -206905252.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.30493 rounded to 3 dps?\nAnswer: -0.305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 99*r**2 - 181*r + 1003. Determine t(-97).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -79*d + 137*d + d**2 - 70*d + 2. Let t(y) = 16*y**3 + 66*y**2 + 8*y + 12. Let a be t(-4). Calculate s(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 67 = 7*c, 184*t - 187*t = 5*c + 33. Put -5, c, -14, 5, 1 in increasing order.\nAnswer: -14, c, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**5\/4 - d**3\/2 - 4*d**2. Let h(q) = 8*q**2 - 1. Let a(k) = -5*h(k) + 2*j(k). What is the first derivative of a(r) wrt r?\nAnswer: -20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92080377?\nAnswer: 3, 10231153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 906681*m*y**3 - 49*m*y**2 - 113*m*y + 9*y**2 wrt y?\nAnswer: 5440086*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 31509669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v - 3572 = -19*v. Differentiate 74*n + v - 390 - 387 with respect to n.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**4 + 8*f**3 - 8*f**3 + (10*f**2 + 13*f**2 - 5*f**2)*(36*f**2 + 14*f**2 - 34*f**2).\nAnswer: 291*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-12) - ((-39)\/102 + -1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aawwwqqwqaawwwaq. What is prob of picking 3 a?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -104332*k**6 + 87129*k**2 wrt k?\nAnswer: -12519840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*k + 5 - 1, 3*l = 0. Let h(i) = 9*i**2 + i + 2. Calculate the remainder when h(k) is divided by 7\/(((-12)\/9)\/(-4)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -350626+0.372497\nAnswer: -350625.627503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -36, -69, -112?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4)*-4*2. Let t = 2 - 1. Suppose 5*z = -2*n + 30, m*n + 3 = 3*z + t. Solve 0*j = -j - z*s - 18, 10 = 3*j - 4*s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -78, -100, -108, -102, -82?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 divided by 6.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8680378 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1 + 116\/120). What is the highest common factor of o and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h*q**5 - 9*h*q**2 + 46*h*q - 300*q**6 wrt q.\nAnswer: -120*h*q**2 - 36000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1087859 at least -1087859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**2*n**2 + 66*g**2*n + 2210*g**2 + g*n**2 + n**2 - 213259*n wrt g.\nAnswer: 4*n**2 + 132*n + 4420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or -407916?\nAnswer: -407916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 997 a factor of 2137423435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 6 = 2*k - 0*k, k = -4*q - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.11 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + -12 + 2 + -3. Let s = 10 - i. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (798 - 709) + (-28 - -5).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 2)*29\/(-116). Which is the second smallest value? (a) y (b) 1\/3 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 + 4*h - 150 + 289 + 147 - 174.\nAnswer: 4*h - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f\/f**(-2\/7)*f))\/f)\/f*f\/f**(2\/31))**(-9\/7)\/((f*f*f*f*f**2\/f*f*f\/f**(-4)*f)\/(f*(f**2*f)\/f)**23) assuming f is positive.\nAnswer: f**(93126\/1519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, h: 2}. What is prob of picking 2 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 1)*(-3638)\/(-51) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*d**2 - 34*d**2 + 50 - 1 + 55*d**2 wrt d?\nAnswer: 62*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4070478 is divided by 396?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90.53 - 53590493.5.\nAnswer: -53590402.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 207, 184, 149, 96, 19, -88, -231, -416?\n\"Answer: -q**3 - 16*q + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyhfdhchfffhfhdhf. Give prob of picking 2 f.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 3*m + 6, 3*m - 2 - 4 = -4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxvxvxv. Give prob of sequence xxvv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzzp when four letters picked without replacement from {u: 7, z: 2, p: 9}.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 17 = 25. Let k be (680\/(-25))\/8 + 1 + 3. Which is greater: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 23217821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -10*l**3 - 9*l**2 + 16*l + 4. Let w(g) = -5*g**3 - 4*g**2 + 7*g + 2. Determine -4*v(c) + 9*w(c).\nAnswer: -5*c**3 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 60.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from {l: 3, z: 1, o: 1, c: 1, j: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1608 divide 523257672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 - 2 + 5*i + 5*i**2 - 3*i**2. Let h be (-12)\/(-15) + (648\/40 - 10). Let z(x) = 9*x**2 + 9*x - 4. Calculate h*s(p) - 4*z(p).\nAnswer: -p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 900 and 27?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 5*q**2 - 8. Suppose i + 3*i = -24. Let k be s(i). Let y = -4 - -11. Calculate the greatest common factor of k and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/33 and 4\/9585.\nAnswer: 105435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - f**2 + 5*f + 12. Let x(o) = -2*o**3 + 9*o + 10. Let u(p) = 3*c(p) - 2*x(p). Determine u(5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 45\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -97158 divided by 16193\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, f: 2, j: 6, e: 1}. What is prob of picking 2 y and 1 j?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 29 = -7. Let u(r) = r + 13. Let c be u(k). Is c at most -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-11) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((3*sqrt(252) + sqrt(252))*-4)**2 - sqrt(252)).\nAnswer: -12*sqrt(7) + 129024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7535 (base 13) to base 2\nAnswer: -11111110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 4*z - 13, -z - 5*q = -2 - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52750553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4754528 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -18*s**2. Let l(w) = 2*w**2 - w**2 - 2*w - w - 2*w**2. Let j(o) = -3*o**2 - 8*o. Let y(x) = -3*j(x) + 8*l(x). What is z(y(m))?\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 505 = -b - 271, 2*b + 1032 = 4*u. Suppose -u + 50 = 5*k. Calculate the common denominator of 68\/9 and 4\/(-42)*98\/k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*j - 4773, 0 = -60*y + 58*y + 2*j + 3172. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x + 232*x**2 - 234*x**2 + 573*x**3 - 3*x + 1 to o*x + f*x**3 + g + a*x**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -4.6 (c) -5 (d) -0.35 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7346*k - 308533. Give z(42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17705 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 207*s - 201*s + 42 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1287\nAnswer: -5\/1287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(429)*-2*-2)\/(sqrt(44) + sqrt(396)))\/(-5*-3*sqrt(432)).\nAnswer: sqrt(13)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-438)\/365*(-1)\/(-2)*10. Let j(x) = -5*x + 6. Determine j(h).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8829 and 218?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 8*s - 1\/4*s**4 - 5 - 7*s**2 - 5*s**3. Calculate m(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:12 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and -89.\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven halves of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 1. Let d(v) = -v**2 - 4*v + 5. Give d(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/46 and -67\/14.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 224238240 a multiple of 881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 4. Let s = y + -7.3. Let j = 0.1 + s. Which is the third smallest value? (a) j (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8378, 16709, 25038, 33365, 41690, 50013, 58334?\n\"Answer: -h**2 + 8334*h + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {a: 4, b: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-84)\/(-16))*-7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8700 and 2693367750?\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4965003 and 174?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + g**2 + g + 1. Let z be j(-3). Let c(i) = 52 + 54 + z*i - 67. Is 22 a factor of c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256949 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at least as big as -637565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 8:49 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -35*o**3 + o**2 + 2*o. Suppose -6 + 11 = -5*f. Let x be p(f). Let v be (2\/3)\/((-2)\/(-510)). What is the greatest common divisor of x and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -5) + 4 + 3 + 11 + -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1047, 17995, 63995, 153573, 301255, 521567?\n\"Answer: 2421*u**3 + u - 1375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4662, -11793, -18924, -26055, -33186?\nAnswer: -40317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -580a + 7f?\nAnswer: -578b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 851 or -129434?\nAnswer: 851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 5*b**2 - 10*b + 9. Let j(v) = -3*v**3 + 15*v**2 + 29*v - 26. Let x(z) = 8*f(z) + 3*j(z). Determine x(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*j**3\/5 - 2279*j**2\/5 + 4537*j\/5 - 453.\nAnswer: (j - 1)**2*(7*j - 2265)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2 + 4 - 10 + 5 + 2*i. Suppose -5*f - 3*w + 35 = 0, -w = 2*f - 4*f + 3. Determine q(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201430 (base 5) to base 7.\nAnswer: -24631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1952 + -693. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 0 + 0. Let m = 440 + -247. Let d(x) = -8*x**2 + m*x - 95*x - 14*x**2 - 98*x. Give v(d(z)).\nAnswer: -44*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1546 + 1547. Which is the nearest to l? (a) -5 (b) -55 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -97*l + 951286. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from piiipp. What is prob of picking 3 i?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 2:21 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (10 - (-50)\/(-4))*36\/10\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(4\/20)\/(-1))\/(-1)*85\/102?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20602 to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -20*m + 41*m - 8 - 19*m + 4. Let t(i) = -4*i + 8. Give -5*a(w) - 2*t(w).\nAnswer: -2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2332 - 2357) + (-3 + 2 - -8)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 21. Let x = 20 - u. Let s = -624 + 623. Is s at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 12*i - 7. Let s(z) = -35*z + 28. Let l(g) = -39*g + 33. Let q(k) = 3*l(k) - 4*s(k). Calculate 11*n(c) - 6*q(c).\nAnswer: -6*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + ((1 - 2) + 1 - 1 - (179 - 187)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 184 + -188. Let u(r) = -5*r - 5. Let h(o) = 5*o + 6. Calculate s*u(f) - 3*h(f).\nAnswer: 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7349.\nAnswer: 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 13*j**2 + 14*j + 5. Let q be k(14). Suppose -s = 3*l - 0*s + 100, -3*l + 5*s - 130 = 0. Is q + -3 - l\/1 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 3*v**2 - 7*v - 19. Give p(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2 - 4*a - 23. Let s(p) = 4*p**2 + 3*p + 24. Let z(k) = 3*c(k) + 4*s(k). Is 12 a factor of z(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 51661179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*d*j**2 - 1337235246*d - 76*j**2 + 5164*j wrt j.\nAnswer: -60*d*j - 152*j + 5164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1740 - 14*i - 21*i + 1736 - 3486. Let n(l) = l. Calculate r(n(a)).\nAnswer: -35*a - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96 + 29*s - 100*s + 106)*(-3 + 0 + 0)*(3*s + 0*s - 2*s).\nAnswer: 213*s**2 - 30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3))**(9\/7)*g**(-1\/2)\/g*g*(g*g\/g**2)\/g*(g**(-1))**(-29)\/((g\/g**(-7))\/((g**(-5\/3)*g)\/g)) assuming g is positive.\nAnswer: g**(713\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 38*i**2 - 9*i - 62. List the prime factors of q(8).\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 8:34 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, l: 9}. What is prob of sequence illi?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.2, -31, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((20 - 14) + -9 + 7 + 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 187 + 133. Suppose -4*t = -j - 2*j - 17, -5*t + 55 = 3*j. Calculate the common denominator of 994\/l - t\/20 and 97\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 21 + (13 - (1 + 5)) + 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40033)\/(-7540) - (-86 - -91). Let v = p - 1\/580. Which is the second smallest value? (a) -0.14 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/8459840 and 79\/24322040.\nAnswer: 194576320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 4*a - 5*a**2 + (-2 + 3 + 1)*(3*a**2 + 0*a**2 - a**2))*(3*a - 7*a + 3*a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.589 - 3.589. What is the smallest value in -20, -0.01, u?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*n - 2*f + 5, -4*n + 3*f + 1 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 271.11702 hours in days?\nAnswer: 11.2965425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3507 + -17533\/5. Let s = -1.79 + -0.11. Let g = s + 2. Does g = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a second in microseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 5327*u**2 - 10657*u + 5329.\nAnswer: (u - 1)**2*(u + 5329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 18*p**3 - 18*p**2 + 12*p + 18. Let r(k) = 5*k**3 + k**2 - 22*k**3 + 7*k**3 - k + 9*k**3 - 1. Let f(v) = -d(v) - 15*r(v). Let f(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -51*w**2 - w**3 + 54 - 160 + 51 + 52 - 79*w + 33*w**2. Give h(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19\/45 + -1\/45. Suppose 3*i - 2*w + 2 = 0, -5 + 3 = -3*i + w. Let d be i\/(-5)*2\/6. What is the closest to 0.1 in r, -2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/22 + (-2415)\/759. Let l(z) = -5*z - 4*z**3 - 4*z**2 + 0 - 2 + 3*z**3. What is l(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 127 = 4*a + 361, a = n - 119. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1023 - 847. Calculate the highest common divisor of f and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7706850 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*t - 13063 + 13043 + 4*t to s + v*t and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(1\/11)*v**(-25)*v*v assuming v is positive.\nAnswer: v**(-241\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gghghghghgg. Give prob of picking 4 h.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 52a76 + 12?\nAnswer: 52a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1326 - -6510. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 10:05 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6932 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17220?\nAnswer: 2, 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3391041245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 1212?\nAnswer: 8484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 + -135. Suppose y*v = -40 + 32. Which is the closest to 1? (a) 2 (b) -27 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130631*1.18.\nAnswer: -154144.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10591797 a multiple of 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -876, -784, -630, -414, -136, 204, 606?\n\"Answer: 31*n**2 - n - 906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 777 + 0.0753804.\nAnswer: 777.0753804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 86\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**4\/2 - 13*i**3\/6 - 29*i**2\/2 - i - 160. Find the first derivative of u(v) wrt v.\nAnswer: 12*v - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (40\/(-5) - -3). Let k be 10\/4 + (-3)\/6. Let q(h) = k*h - h + 4 - 2*h - 2*h. Determine q(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1056 - 1044. Solve -19*o - v = -16*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2. Let d(y) = 14440*y. Calculate v(d(l)).\nAnswer: -208513600*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.32 - -0.22. Let q = 1.1 + p. What is the smallest value in -5, q, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256122 and 33728.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0168258 and -7.0266?\nAnswer: 7.0097742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9069*n**6 + 385*n**5 - 2161086*n**2 wrt n.\nAnswer: -1088280*n**3 + 23100*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 832*y - 1. Let c(h) = -22*h. Determine c(k(u)).\nAnswer: -18304*u + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 + -19920.0045\nAnswer: -19920.8045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**4 + m**2 - m**2)*(-1 + 4 - 2)*(2 - 4 + 0)*(3*m + 8*m - 3*m).\nAnswer: 32*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 173?\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1307*x - 145 - 1309*x + 1947.\nAnswer: -2*x + 1802","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4 (b) 2 (c) -12 (d) 78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -10*c**3 - 499*c**2 + 113*c + 3147. What is d(-50)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1000001?\nAnswer: -1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 13*t - 6. Let z(l) be the third derivative of -7*l**4\/12 + 7*l**3\/6 + 4*l**2 - 49*l. Give -6*b(g) - 5*z(g).\nAnswer: -8*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(17)*-2 + sqrt(17) - (2*sqrt(102))\/sqrt(6))**2 + -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -3 - 251*2. Is d\/(-4) + (-11)\/(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34189, 34182, 34175, 34168, 34161?\nAnswer: 34154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -497, -1106, -1959, -3056, -4397, -5982?\nAnswer: -7811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 137*p**2 - 7*p. Calculate o(-1).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*z - 626 = 686, 0 = -5*m + 5*z + 2180. Calculate the greatest common divisor of 28 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**36\/((t*t*t*((t*t*(t\/(t**(-2\/9)*t*t)*t)\/t)\/t)\/t*t)\/t))**30 assuming t is positive.\nAnswer: t**(3040\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -264444 - -46?\nAnswer: -264376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 152 - 20212101?\nAnswer: -20211727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*p = -32, 0*o - 2*o - 3*p + 14 = 0. Let r be 1 - 8\/o - 1258\/(-85). Solve 7*k - 4*k + r = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015312 rounded to four dps?\nAnswer: -0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1 + 1611 = 2*d, 4*r - 5*d - 1598 = 0. Calculate the highest common divisor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*(u*u**3)\/u*u*u)**(-9)\/(u\/(u\/(u**0\/u*u)))**(-2\/15) assuming u is positive.\nAnswer: u**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 441952, 882671, 1323390, 1764109?\n\"Answer: 440719*v + 1233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\/((-11)\/((-1144)\/(-16)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 9:29 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 185.\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8447, -8445, -8443?\nAnswer: -8441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*s + 1011 = -324*s + 2147 + 1384 for s.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12b + -2dd4a6?\nAnswer: -2dd37a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28164 and -171.\nAnswer: 4816044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385817538 is divided by 252.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1617) + (-6*(sqrt(1617) + sqrt(1617)*2) - sqrt(1617)) + sqrt(1617))\/(1*sqrt(22)\/sqrt(2)*-6).\nAnswer: 119*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 3249.\nAnswer: 16245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1900) + 3*(sqrt(1900) + 1*sqrt(1900)) + sqrt(1900) + -3 + (sqrt(1900) + -2)*-1 + -4*(sqrt(1900) + 0))**2 + 1.\nAnswer: -240*sqrt(19) + 17117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 242 and 99.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, b: 6}. What is prob of sequence bw?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6*g**2 - 5*g. Let l(r) = -8*r**2 - 5*r + 1. Let p(k) = 3*k**2 + 11*k - 12. Let n be p(1). Let w(c) = n*l(c) - 3*f(c). Give w(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229475578?\nAnswer: 2, 19, 31, 83, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w. Suppose -4 - 2 = -3*z. Let c(m) be the first derivative of -3*m + 3*m - 514 - 4*m**z + 479. Calculate l(c(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5423\/5869 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8439407.\nAnswer: 263, 32089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**3 + 232670*m + 5774060 wrt m?\nAnswer: -6*m**2 + 232670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11550 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -2 - 4)*-1. Suppose -4*m + n*m + 5*o = 12, 3*m + 3*o - 12 = 0. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0, -0.05 in increasing order.\nAnswer: -0.05, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -45. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 649.6 + -651.76. Which is smaller: c or -4\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 517 and -29.6.\nAnswer: -15303.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86 - -64. Round s to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -41\nAnswer: -13\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*b - 916 = -1566 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 26*w**2 + 2*w - 2. Let y be c(1). Let j = y - 27. Let z = 9 - 13. Sort 0, j, z in descending order.\nAnswer: 0, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x + 12. Let o be 1*3\/(-12) - (-222)\/(-8). Let d be (21\/o + 158\/8)\/(-1). List the prime factors of t(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*h + 7794 + 223 = 247*h - 751 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83447 is divided by 52.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and 35966.\nAnswer: 755286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 21 - 15)*(3*b**4 - 3*b**4 - 5*b**4) + (0 - 2 + 3)*(2*b**4 + b**4 - b**4).\nAnswer: -78*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2213*i**2*n**6 + i**2*n**3 + 490*i**2*n + 3*i*n + 26*n**2 wrt n?\nAnswer: -265560*i**2*n**3 + 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001157741286 rounded to seven dps?\nAnswer: 0.0001158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/73 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - (-14)\/(-4))*-2. Suppose 1980 = -3*n + w*n. Suppose -c + n = c. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 10 = -10*w + 8*w, 10 = 3*w - 5*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u**2 + 8*u - 5. Let f be n(5). Let p = -361 + 295. Is p less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/181 or 1?\nAnswer: 1\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 - (10152\/153)\/8. What is the second smallest value in u, -2\/15, -1\/8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*c - 4 = 0, 5*c - 11 = -2*y + 5*y. Let k = 6 - y. Calculate the remainder when 29 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**4 + 69*q**3 + 56*q**2 - 357894*q.\nAnswer: 12*q**2 + 414*q + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 17. Suppose -g = -i + 65. Round i to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 430 and 36895290?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 1752*y + 255792.\nAnswer: 3*(y + 292)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3552 and 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1466643 and 27377336?\nAnswer: 82132008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -376*d**2 - 2*d - 5. Let c = -7 + 10. Let i(v) = -377*v**2 - 2*v - 4. Let l(r) = c*a(r) - 4*i(r). Is l(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-4\/7)))\/b**(-31)*(b*b**(1\/17))\/((b*b*b**(1\/15))\/b*b))**(10\/7) assuming b is positive.\nAnswer: b**(109112\/2499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -36*d**2. Let x be f(1). Let l = 155 - 229. Let p = x - l. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000302996594 to seven dps.\nAnswer: -0.0000303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(6\/34 + (-735)\/(-170))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5766\/5039 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 897 - 3?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1b4 (base 12) to base 15\nAnswer: 13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-21) + 2451244\/(-28). Let p = 46176 + w. Let t = -368 - p. What is t rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1405?\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 118, 114, 110, 106, 102, 98?\n\"Answer: -4*t + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269548 + 5*g**2 + 0*g**2 - 269545.\nAnswer: 5*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y. Let q(b) = 5*b**2 - 20*b + 5. Let m(n) = -4*d(n) + q(n). List the prime factors of m(-10).\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062 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 g be (-46)\/(-14) - (-2)\/(-7). Let m be 3*(g + (-177)\/(-9)). What is the greatest common divisor of 17 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6876886 or -34384424\/5?\nAnswer: -34384424\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 m, and 1 n when four letters picked without replacement from {h: 2, n: 1, m: 1, r: 1, k: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35969, 35967, 35965, 35963, 35961?\nAnswer: 35959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o = 5*d - 10, 4*o - 7 = -5*d. Let q(x) = -29*x - 1. Does 14 divide q(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 394*y + 37*y + 10.\nAnswer: -357*y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68 + 73 + 2\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/193, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*t + 32, 4*r - 5*t - 28 = r. Let w(k) = -k**2 + 5*k + 6. Let z be w(r). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 + 2 - (8 + -4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8169692 nanograms in milligrams?\nAnswer: 0.0000008169692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 15. Let q be 70\/21*24\/o. Let y = -3 + q. What is the third biggest value in 1\/4, y, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31880.93 decades to centuries.\nAnswer: 3188.093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (6\/(-5) - (-8)\/(-10)) - 40?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58120011 to the power of 1\/3, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1917 = 5*g - 3770, -3*i = -5*g + 5723. Which is greater: 1128 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1343 divide 305872972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1850, -3719, -5478, -7121, -8642, -10035, -11294, -12413?\nAnswer: -13386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = o + 3*k - 0, 16 = 3*o + 5*k. Suppose 0 = o*d + 8, -4*d - 25 = -3*z - 3. Solve -3*r + r - 14 = -z*p, -r + 2*p = 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(5*y**2 + 7 - 7) + (14032 + 336*y**2 - 14032)*(5 - 3 + 0) to a*y**2 + b*y + n and give a.\nAnswer: 667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -5\/8, 3\/2, 0.3, 1\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 - 3*c - 11. Suppose 0*g - 4*g = 4*z + 4, 2*z = -3*g. Calculate the lowest common multiple of h(-3) and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 333223 - -201233?\nAnswer: 1201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -5, 2, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 118*q**2 - 3388*q + 214032.\nAnswer: 2*(q - 52)*(q - 49)*(q + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -5.2. Let t = 12512.8 + -12512.3. Which is the nearest to 0.3? (a) -2 (b) 1 (c) x (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154671, -309352, -464043, -618744, -773455?\nAnswer: -928176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -5. Suppose -3*t + q = -10, 2*t = 3*q + 7 + w. What is the third derivative of -t*i**2 + 0*i**3 + 3*i**3 + i**2 wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.63 - -3.2. Let n = o + -0.67. Let g = -6.4 + 6. What is the closest to -2\/7 in g, 0.1, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 4*f = 2*v - 4, -5*v + 5 = -5*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from opbbhbbz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44a508 (base 12) to base 7.\nAnswer: -12214103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 507727994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2 + 1. Let z(k) = -k**2 - w + 0 + 1. Let s(i) = -5*i. Determine z(s(t)).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 3*u**2 + 3*u. What is k(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (42\/4)\/(-3)*-2. Suppose -2*n + m = -39. Let c = n - 16. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6074*y - 4. Let g(d) = 6002*d - 5. Let l(q) = 4*g(q) - 5*k(q). Let u(z) = z. Determine u(l(m)).\nAnswer: -6362*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2205)\/(-4))\/49)\/(5\/(-24))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 - 16*s - 20. Let u be x(-10). Let j = -24 - u. Suppose -2*b + 0*b + j = 0. What is the greatest common divisor of b and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 16 (c) -135 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 2:02 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101507127 to the power of 1\/2, to the nearest integer?\nAnswer: 10075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*p - 14 = 3*p, 2*p + 11 = r. Let u = 163 + -53. Let z = u + -107. Solve -17 = 4*y + r*v, -2*y - z*v - 2 = 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 266 and 140?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h + h + 0*h - 5*h + 3. Let d be 1*0\/(-3 - -2). Let l be z(d). Solve -6 = l*q - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 105*z - 19 = 102*z, 0 = 6*u + 5*z - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -1913161?\nAnswer: -1913161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)*y*y)\/(y\/(y**(-1)*y))*y**(-2)\/(y\/y**(-1\/4)) assuming y is positive.\nAnswer: y**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d. Let c(h) be the third derivative of h**7\/2520 - h**4\/24 - 3*h**2. Let m(n) be the second derivative of c(n). Calculate m(x(z)).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 20*r + 63. Let d be t(20). Is 7 a factor of ((1232\/12)\/(-7))\/((-6)\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tiiiiiititii. Give prob of picking 3 i and 1 t.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1420 = 4*v - 4*r, 1048 = 2*v + 5*r + 352. Are 354 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 2 - 5*h**2 - 13*h**3 + 14*h**3 - 1. Determine l(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-1440)*46 - ((-850)\/(-153))\/(-25).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*f - 21 - 3 = 0, -h - f = -8. Suppose t - h*t + 4 = y, -16 = -3*t - 4*y. Let b(c) = t*c + 9*c - 4*c + 23*c. Let p(u) = 2*u. What is p(b(m))?\nAnswer: 56*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228401630 and 44725?\nAnswer: 8945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58562 * -5.\nAnswer: -292810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 156\/(-18)) + (-8)\/(-6). Suppose -3*q + 3*b = -78, 2*q + q - 81 = 2*b. Calculate the remainder when q is divided by (4 - 0)*x\/70*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 + -0.2. Let c = -3 + u. Suppose -g - 2 = g. What is the closest to c in 4, 3\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*n = -22*n + 728 + 616 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2256770 and 9545.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1229 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + h - 20 = -h, -5*h = -5*u + 20. Suppose -u*t + 17 = -3*s - 1, 0 = 2*t - s - 8. Let r = 8 + -4. Solve 0 = -t*y - 1 + r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11528 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8514 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4630, -9243, -13844, -18433, -23010?\n\"Answer: 6*s**2 - 4631*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 1454 in decreasing order.\nAnswer: 1454, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3. Let q(c) = -3*c - 4. Let a(x) = -42*x + 94*x + 12 - 42*x. Let i(o) = -2*a(o) - 7*q(o). Determine 4*i(n) - 5*j(n).\nAnswer: 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2124287? (a) -0.1 (b) -0.2 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.5 (b) -2\/81 (c) -29 (d) -2\/231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-68))\/(2\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 10) to base 7\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = r + l - 32, 260 = 5*r - 5*l. Let w = r - 14. Let n = 58 + w. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 12 = -2*s - 0*s, 4*l = 5*s + 2. Suppose 2*c - 4*u = 16, -u - 14 = -3*c - 0*u. List the prime factors of l\/c + (-411)\/(-6).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48 and 1613.\nAnswer: 77424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 12:09 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 267\/(-90))*(56 - 60).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 32 (c) -2\/253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least -512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(76)*1) + sqrt(19) - (sqrt(19)*-2 + -2) - (sqrt(304) + 0)**2*-4.\nAnswer: 2*sqrt(19) + 1218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/262836 and -85\/112.\nAnswer: 1051344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*f - 79488, -132484 = 5*f - 0*u - 4*u. Round f to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336780 and 9?\nAnswer: 336780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -406, -384, -372, -370, -378, -396?\n\"Answer: -5*j**2 + 37*j - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.5, 6, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 464080597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**5\/30 + 3*z**4\/8 + 2*z**3 - 2*z**2. Calculate the smallest common multiple of 14 and i(-6).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19531*q**2*w**2 + 941*q**2*w - 335*q*w**2 + 2*q - 2*w**2 + 3085 wrt q?\nAnswer: 39062*w**2 + 1882*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4. Suppose 2 + n = -g. What is the hundreds digit of 2\/4 - 295\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 1\/24*x**4 + 0*x**3 + 1\/15*x**5 + 3*x**2 + 0*x + 0. Solve p(n) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-154) + (-5 - (-198)\/42).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/67))\/(u\/u**(3\/2)) assuming u is positive.\nAnswer: u**(197\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*((-24)\/20)\/(-3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p + 1 = -91. Let v(r) = r**2 + 6*r + 3. Let s(d) be the first derivative of -d**3\/3 - 5*d**2\/2 - 2*d - 2. Give p*v(o) - 5*s(o).\nAnswer: o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -448.2 + 886. Let y = 443 - f. Round y to one dp.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 1, s: 1, a: 4, i: 1}. Give prob of picking 1 a and 1 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 0) + 51\/(-6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 855529 or 855528?\nAnswer: 855528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 32*y - 180. Is -31\/5 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**3 + r**2 - r**2)*(4 + r - 4) + 1 - 1 - r**4.\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2879 (base 16) to base 8.\nAnswer: 24171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-178)\/(-287) + (-740)\/592*8\/205\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 + -83. Suppose -2*f - m*i = -28, -4*i - i + 45 = 5*f. What is the first derivative of -43*y**4 - 51*y**4 + 97*y**f - 13 wrt y?\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 178, 271, 362, 451?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**16\/y*y)\/y*y**(-35))\/(y**(1\/22))**9)**(-1\/17) assuming y is positive.\nAnswer: y**(427\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - (58 - 26)) + -17 + 50?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w**2 + 0*w**2)*(2*w**3 + 2*w - 2*w) + (-2*w**2 + 5*w**2 + w**2)*(-4*w**3 + 5*w**3 - 2*w**3) - w**5 - w**5 + 3*w**5 + 25*w**5 + 12*w**5 - w**5.\nAnswer: 35*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b - 206. Let m(f) = 2*f + 68. Calculate -3*c(h) - 8*m(h).\nAnswer: 2*h + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -9. Let p(y) = -y**2 + 31*y + 3. Let j be p(0). Put j, -3, f in ascending order.\nAnswer: f, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19577410 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -5, -7, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53373863.\nAnswer: 17, 3139639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 886 = -2*i - i, 3*i = -6. Round r to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -11*n - 5*h + 160, -4*n - 3*h = -228. Suppose 0 = -10*o - 20 + n. Solve 3*y + o = -5*u, -6*u - 2*y = -2*u + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*b + b = -210, 5*g - 4*b = -247. What is the common denominator of (-42)\/(-865) - g\/255 and -13\/6?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11574.45 rounded to the nearest 10?\nAnswer: 11570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1474)\/102 - -3)*(-4)\/(-506). Let k = -2\/561 - q. What is the third smallest value in 5, k, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -111877, -223689, -335431, -447103, -558705, -670237, -781699?\n\"Answer: 35*f**2 - 111917*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 14 = -61. What is the remainder when u is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven tenths of a day?\nAnswer: 1584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -24. Put -5, 6, k in descending order.\nAnswer: 6, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 21 - 75. Let q be 18\/3*1\/1. Let v be (1 + 31)*3\/q. What is the highest common divisor of v and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1568845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 3*n - 20 = 0, -2*r + 4*n = -2586. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -415, 246, 2073, 5648, 11553?\n\"Answer: 97*d**3 + d**2 - 21*d - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and -25.\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 677646646 to the power of 1\/3, to the nearest integer?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 54*m**3 + 55*m**2 + 3*m. Let x(v) = -109*v**3 - 111*v**2 - 5*v. Let j(f) = -5*k(f) - 3*x(f). Find the third derivative of j(y) wrt y.\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 0. Let g = -7.5 - b. Let x = 0.7 - -2.3. Sort -5, g, x in descending order.\nAnswer: x, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - ((sqrt(88) - -2*(sqrt(88) + sqrt(88)*1)) + sqrt(88) + sqrt(88)))\/(sqrt(32)\/sqrt(4)*-1).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5\/10 - 25*z**4\/2 + 489*z**3\/10 - 607*z**2\/10 + 121*z\/5 = 0.\nAnswer: 0, 1, 2, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j - 2 + 2)*(-4 - 1 - 1) - 26 + 26 - 42*j in the form w + r*j and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 44.68, 1, 2, 0, 0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + (-36 - 1) + -35?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*s - 3. Let a = -170\/21 + 8. Which is bigger: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3085*o**4 - 5*o**2 - 1631. Let i(j) = 7712*j**4 - 12*j**2 - 4078. Let v(u) = -5*i(u) + 12*z(u). What is the derivative of v(m) wrt m?\nAnswer: -6160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*w - 227*w + 41*w - 216*w.\nAnswer: -369*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.24, 0.87, -5\/2, 5?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -15 + 657\/45 - (-23)\/20. Let a(s) be the third derivative of -1\/80*s**5 + 5\/32*s**4 + 0 + 5*s - z*s**3 + 3*s**2. Factor a(x).\nAnswer: -3*(x - 3)*(x - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 74864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 596 = -5*k - 74, 1 = -g. What is the greatest common factor of 70 and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 20 = 3*m. Let j(u) = 2*u + 4. Let i be j(-3). What is the units digit of 2\/((i\/(-12))\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 7. Suppose 4*v + 98 = 5*l, 5*l + 3*v - 57 - 27 = n. Suppose 10*g + l = 16*g. Solve -20 = g*u + 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-141)\/(-21) + (-6)\/(-21). Let y(m) = m - 7. Let d be y(9). Suppose -2*h + 6 = 4*r + 24, -d*r + h = n. Let f(p) = -p**2 - 5*p - 5. Give f(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 966 - 966.1. Is s <= -175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 8*s**2 + 4*s - 26. Let b be y(8). Suppose b*x = 20*x - 182. What is the remainder when 101 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - ((-1)\/(-6) - (-309)\/(-18)). Is -3 - o\/(105\/(-34540)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 12*y**3 + 6*y - 1. Let t(q) = 12*q**3 + 7*q - 1. Let u(a) = 5*p(a) - 4*t(a). Let s be u(1). Suppose -1 + s = 3*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*q - 2. Let k = -86 + 93. Let x = k - 0. Put q, -3, x in descending order.\nAnswer: x, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7677.7 to the nearest one hundred.\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from byfbeyffefb?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (1 + (4 - 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 9)*(-4 + 2 + 3)*(9*q - 9*q**2 - 9*q) to d + t*q**2 + s*q and give t.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 - 24*s**2 - 956*s**3 - 4*s**2 + 301*s**3 - 1.\nAnswer: -655*s**3 - 33*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 2. Let i be a(0). Suppose i*x - 9 = -5. Suppose -2*c = 3*l - 37, -4*l = -x*c - 9 - 31. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 650 + -496. Suppose 7 = 5*g + 3*h, -6*g + 2*g + 7 = h. Suppose g*x + y + y = m, 81 = x - y. Is 33 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*q**3 + 9*q**2 + 169\/3 + 65*q.\nAnswer: (q + 1)*(q + 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 - 3268770*r**3 - 225551478*r**2 - 5187732662*r - 39772803636.\nAnswer: 2*(r - 1634454)*(r + 23)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3738)\/(-4))\/(-3)*492\/(-21)?\nAnswer: 2, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*a = 5, 5*f + 0*a - a = 1. Suppose -3*i - 8 + 2 = -3*m, 0 = -4*i + m - 5. Are f and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -76*z**6\/15 + 3*z**5\/10 + z**4\/4 + 31*z**2\/2 + 46*z + 11. Find the third derivative of r(n) wrt n.\nAnswer: -3648*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -20*z**2 + 9*z + 8. Let x(g) = 7*g**2 - 3*g - 3. Let k(r) = 6*h(r) + 17*x(r). Let t be k(6). Let m = t + 30. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u - 22*u - 4 = -f, -2*f + 23 = 2*u + 21 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(-3)\/4 - -3. Let u = f + 2. What is the third derivative of -u*t**2 + 21*t**6 - 12*t**6 + 2*t**2 wrt t?\nAnswer: 1080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8619 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*z = -3*h - 124*z + 46431, 0 = 2*z. Is 75 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/31442 and -21\/316.\nAnswer: 62884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5 + -1. Let i = -0.6 - -0.8. Let w = i + -0.4. Sort f, w, 5 in descending order.\nAnswer: 5, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 - 6.1?\nAnswer: -6.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2729*d**2 + 488 + 17*d - 17*d - 488.\nAnswer: -2729*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 1:45 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11280 = 4*g + 4*r, -2816 = -g - 8*r + 3*r. What is the highest common factor of 91 and g?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114115.\nAnswer: 5, 29, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*y - 192, 3*w + 5 = 2*w. Let p = y + 60. Suppose -3*h + 4*j = -j - 21, 2*h - p = -j. Solve -6 = 4*a - h*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*i = -71*i + 19*i - 12210 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 193109854?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11921345 - 18?\nAnswer: 11921328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -111110111100 (base 2) in base 7?\nAnswer: -14513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 1:44 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -10242341?\nAnswer: -10242341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bab (base 12) to base 10.\nAnswer: -1715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 12:55 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 468 - 467.99999465. Round m to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 + -515.\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 349385555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15\/26 (b) 1\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 505428 and 396?\nAnswer: 1516284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 1. Let p(a) = -2*a + 1. Let s(v) = -p(v) - 2*t(v). What is s(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**3 - 20*m**2 - 17*m - 17. Give y(9).\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a*n**2 - 10*a*n - 2*a - 7*n**2 + 745 wrt n.\nAnswer: -8*a*n - 10*a - 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/7 + 372*x**2\/7 - 4880*x\/7 - 25344\/7 = 0. Calculate x.\nAnswer: -198, -4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -2\/5 (b) 2 (c) -387 (d) -0.08 (e) 2.72\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -736.41124 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.2547575 rounded to 1 decimal place?\nAnswer: 15.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -6857.526\nAnswer: 34287.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15535 is divided by 874.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7844 + 10840 + 17240 = -1283*m for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 4*g - 2635312. Suppose 0 = 3*l + 4*d - 2002980, 0*d = -5*l + d + 3338277. Let c = g + l. Round c to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 + ((441434\/8)\/7 - (-7)\/28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 5*z**2 - 6*z + 1. Let v be y(-5). Let o = -18 + v. Calculate the remainder when o is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31686, -31828, -31970?\n\"Answer: -142*p - 31544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2084163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-57575)\/140 - 2\/(-8). Let o = j - -414. Solve -3*d = -o*a + 12, 3*a - 2*d - 1 = 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -671765.58 to the nearest one hundred.\nAnswer: -671800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20c - -8ac?\nAnswer: 6a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 479225 - 1958285 = -51*w. List the prime factors of w.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -177, -169, -147, -105?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 8*t + 6. Let g = -787 + 779. Give h(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(35)\/sqrt(5)*2 - (sqrt(847) + -2))**2 + 4 + sqrt(35)\/(sqrt(30)\/sqrt(6) + sqrt(5)).\nAnswer: -63*sqrt(7)\/2 + 456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-18) - 68\/(-18). Let v = 5507 - 5498. Put -4, v, -0.5, f in decreasing order.\nAnswer: v, f, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwgwwwwwwwwwgwwwwww. Give prob of sequence wg.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - n + 217 = -14*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - -4) + 1 + 6 + -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**5 + 1205*t**4 - 42335*t**3 - 442205*t**2 + 3910530*t = 0.\nAnswer: -271, -13, 0, 6, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -92*y**2 - y - 5. Let k(v) = -261*v**2 - 4*v - 15. Give -13*h(f) + 4*k(f).\nAnswer: 152*f**2 - 3*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**3\/6 + 3*r**2 - r. What are the prime factors of d(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4207194?\nAnswer: 2, 3, 17, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104 + -441?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -13\/2*v**2 - 5*v + 2. Is f(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*d + 16. Solve 3*h - 3 = 0, -3*s = -d*h - 0 + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212, -1261, -3002, -5429, -8536, -12317?\nAnswer: -16766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 12:25 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -15 - (3 + 8)) + (-17 - -3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 10*n + 29. Give d(-10).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5547648*a**2*h + 198*a*h + 13582*h wrt a?\nAnswer: 11095296*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*f - 0, f = -2*q - 31. Let j(u) = -23*u - 78. What is the hundreds digit of j(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**3 + 6*f**2 - 11*f - 35. Let i be p(-2). Sort i, -13, 1 in descending order.\nAnswer: i, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 16*q - 77. Let x be m(20). What is the tens digit of 3*(-865)\/(-60) + x\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10188 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 59 = -87. Calculate the remainder when 79 is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-602)\/(-5117) + (-23)\/340.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -215 + 1195. Suppose -f = -20*j - 15*j. Calculate the greatest common factor of 98 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 3 (b) -26 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 8*u**2 - 6*u - 4. Let y be j(-7). Let o(m) = -4*m - 9. Let n(d) = -2*d - 5. Let z(c) = y*n(c) + 6*o(c). Determine z(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -2\/7, 2\/271?\nAnswer: 2\/271","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 12\/5 (b) -10 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3307351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.7 - -9. What is the closest to 4 in t, -0.3, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 444145731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.09 (c) -5 (d) -2 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 2*j**2 + 0*j**2)*(2*j - 2*j - j) + (-3*j + 2*j - 3*j)*(1359*j - 2715*j + 436*j**2 + 1357*j).\nAnswer: -1746*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5)*20\/16*-4. Which is the third smallest value? (a) n (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -10*j**2 + 226*j - 960. Determine s(20).\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -8*g + 2. Solve -1\/2*b + b**3 - 1\/2*b**g + 0*b**2 + 0*b**4 + 0 = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113898?\nAnswer: 2, 3, 41, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 20 = -10*w. Let r be (-2 - -9) + (-9 + 0)\/w. Solve -5*q - 40 = 5*h - 5, r = -5*q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 1:03 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -100 + 11224?\nAnswer: 11124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from iidtinnyjyijnijidi.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8330, 8332, 8334, 8336, 8338, 8340?\nAnswer: 8342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 7 = 26 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 w, and 1 a when three letters picked without replacement from {w: 2, g: 1, i: 2, r: 1, a: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 13*n = 741 - 609 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - j**3 - j + (30*j + 70*j - 44*j)*(-j - j**2 + j).\nAnswer: -57*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15424765417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 4*g + 6*g)*(1 + 3 - 2)*(-2*g + 4*g - 3*g) to y*g + d + l*g**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.29, -0.4, 22, 0.5, -2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.2, -7, 8, 0.2 in descending order.\nAnswer: 8, 0.2, -3.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**2 - 1. Let j be d(1). Let x be 1 + -3 + 6 + 1. Suppose -2*k - 4 = -2*i + 2, k + 19 = x*i. What is the closest to j in 2\/7, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 6*w. Let s(b) = -2*b**2 + 11*b - 1. Let p(m) = -3*s(m) - 5*t(m). Let y be p(3). Solve -y*n - n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by -56.\nAnswer: 37\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2949656*g - 55 + g**2 + 2949656*g + (g - g + g**2)*(3 + 4 - 3).\nAnswer: 5*g**2 - 55","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -38 + 14 - (-14)\/(-2 + 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290638608.\nAnswer: 2, 3, 13, 233, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28403 - -2?\nAnswer: 28405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 10 = 4*i, -3*i = -4*i - 4*s + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*r**2 - 120*r**2 + 215*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 627420, 1254866, 1882312?\nAnswer: 2509758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, i: 12}. Give prob of sequence ifi.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*s**2 - 64 + 6*s**6 + 64 wrt s.\nAnswer: 720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -66 - 1 + 188*n + 84*n + 7*n. Is j(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-6) - 1 - 1439438\/(-546)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.154542051 rounded to four dps?\nAnswer: 0.1545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -15 - (0 + -14) - (-15)\/17. Let u = -26 + 22. Which is the fourth biggest value? (a) i (b) -5 (c) u (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4957700 rounded to the nearest one hundred thousand?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 3:28 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/660 and 65\/18.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7))**(8\/3)*(j**(-2\/13))**42)**(4\/11) assuming j is positive.\nAnswer: j**(-6224\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 133.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 38*c**2 - 6*c + 22. What is x(2)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 + 46. What is the smallest common multiple of 98 and u?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18769115748 rounded to 4 dps?\nAnswer: -0.1877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = 5*s. Solve -4*d = -b - 8 - 3, -s*b = 2*d - 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -11. Let j = 8 - x. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -24. Let a be 16\/f - (-2)\/(-5). Let c(o) = 6*o. Let i(l) = 5*l. Let s(n) = -2*c(n) + 3*i(n). Determine s(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 74\/39 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -347041c?\nAnswer: -3470420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 - (0 - (1 + 1 + -7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576) - (sqrt(576) + sqrt(576)*-4 + sqrt(576))*-6 - sqrt(576))\/((sqrt(144) + sqrt(144)*4)\/sqrt(8)*5).\nAnswer: -48*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 2*m**2 - m - 1. Let v be y(2). Let u be ((-182)\/3)\/(v\/9). Let x = u + -95. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3)*(57 + 0). Let y = -32 + z. Let c be 40\/y + 5\/15. Sort c, 5, 0 in decreasing order.\nAnswer: c, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*l = -21, -3*g + 4*l = 3*l + 19. Let q be 9 + (-2 - -5) - g. What is the highest common divisor of 486 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 5, 7\/5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1441 + 926 + 1883)*(-4*l + 5*l - 8*l).\nAnswer: -9576*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*l + 14 + 0 - 14.\nAnswer: 130*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2234 + -2146.48. Round s to the nearest integer.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(45920\/(-1025)))\/((-20)\/(-21)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3738353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11637 + 17012. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 204590706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43392\/1582*(20\/6 + 3\/18).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 254.835 + -255. Let o = -0.035 + w. What is the second biggest value in o, -1\/21, 0.09?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5918?\nAnswer: 2, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 14) to base 3\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 5*z - 5. Let o(f) = f + 15. Let h be o(0). Let r(p) = p**2 - 15*p + 4. Let v be r(h). Determine l(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 13.03875?\nAnswer: 9.03875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = 3*u + 2*a, -a + 1 = 0. Let y be ((-2)\/(-3))\/((-14)\/63). Let b be (y - (-4)\/2)\/1. Sort 4, u, b in increasing order.\nAnswer: b, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*p - 150 = 0, -410 = -x - 2*x - 2*p. Let y = -39 + 67. What is the highest common factor of x and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/54)\/a)\/a)\/(a**(6\/7)\/a)*a**(-1\/16)\/(a*a\/(a*(a*a**(-8)\/a*a*a)\/a)) assuming a is positive.\nAnswer: a**(-29941\/3024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 12*r + 28. What is the lowest common multiple of 9 and b(12)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 84*b**2 + 1638*b - 471. Let h(n) = -21*n**2 - 410*n + 118. Let p(o) = 9*h(o) + 2*z(o). What is r in p(r) = 0?\nAnswer: -20, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -502 times 4076.7\nAnswer: -2046503.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h**3 - 45*h**2 - 3*h + 15. Give k(5).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 295 - 227. Suppose -g*s + 6 = -67*s. Solve 0 = 2*u + 5*b + s + 2, 0 = -2*b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 271559856.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2434557605?\nAnswer: 5, 486911521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**2\/2 + a - 13. Let f(l) = 7*l - 8. Give f(u) + 6*g(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 248608211681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -101*j + 219. Calculate the remainder when n(-2) is divided by 59.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p. Let u(n) = -n + n - 9*n + 5*n. Give 5*s(v) + 6*u(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(2)*3 + (sqrt(112)*-6 - sqrt(7)).\nAnswer: -22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 270 - 172. Let n = 17 - 3. Calculate the greatest common divisor of q and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27687 - 27671 = -4*c - 5*k, -c - k = 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3481 + -3480.96. What is the smallest value in -2\/7, -2, 1\/2, z, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -1\/6 (c) -4 (d) 2\/19 (e) -2\/5 (f) 6689\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7223.5773 milliseconds?\nAnswer: 0.00008360621875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-4)*2\/9*3. Let c = -2 + a. Let z be ((-9)\/(-6))\/c*-38. Is 19 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*f + 828*f**5 - 245*f**6 + 53*f**2 + 12156*f**3 - 12157*f**3 + 247*f**6 wrt f?\nAnswer: 240*f**3 + 49680*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 661963*t**4 + 4*t**3 - 6732*t**2 + 45*t wrt t.\nAnswer: 15887112*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92709 (base 15) in base 6?\nAnswer: 13535543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10106427.\nAnswer: 3, 3368809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/189 - 2\/7. Suppose -11*q + 7*q = -264. Suppose 3 = -63*h + q*h. Which is the biggest value? (a) h (b) 0.6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1, -15.5, 4, -2\/3?\nAnswer: -15.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -271.86 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 1\/2, 0.1, 0.07, 5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 286?\nAnswer: 28c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 32821312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/204 and 73\/22.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13225*l**4 - 3*l**3 - 2*l**2 + 2080*l + 382 wrt l?\nAnswer: 158700*l**2 - 18*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/(-260))\/((-18)\/(-6)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3139*t**2 + 3799*t**2 + 93*t**2.\nAnswer: 7031*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/3 + 80*u\/9 + 50\/3 = 0.\nAnswer: -5\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -10*v**2 - 3*v - 4. Let m(f) = 12*f**2 + 4*f + 4. Let s(i) = -6*m(i) - 7*q(i). Calculate s(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**3\/6 + v**2\/2 + 360*v. Let h(l) = 4*l + 13. Determine h(s) - 2*r(s).\nAnswer: 2*s + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2122*-0.3.\nAnswer: -0.06366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17170228 - -4?\nAnswer: -17170224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*i - 490 = 36*i. What is the remainder when (13 - 1)*(-54)\/(-8) is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvyy when four letters picked without replacement from {y: 2, v: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1927 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 - 4*t**3 + 0*t**3 + 8*t**3.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011101 - 10101?\nAnswer: 1101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3555*a - 3557*a = 3*v - 24, -4*v + 120 = 10*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**6\/70 - 3*v**5\/35 + 19*v**4\/14 - 30*v**3\/7 + 81*v**2\/14 + 4*v - 13. Suppose u(y) = 0. Calculate y.\nAnswer: -9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -9)\/(1*1\/(-2)). Suppose 0 = 3*t - y + 16. Solve 3*h - 25 = -t*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -293 - -699. Suppose h = 115 + c. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 o, and 1 x when three letters picked without replacement from {j: 2, x: 1, d: 3, o: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**1)\/h)**33 assuming h is positive.\nAnswer: h**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1407016.7 to the nearest 1000.\nAnswer: 1407000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(1331) + sqrt(1331)*1 - sqrt(1331)))**2 + ((2*(sqrt(66)*-2 - sqrt(66)))\/sqrt(6))**2)*-6.\nAnswer: -10512 + 660*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v - 54 = 0. Let n be 148\/18 - v\/81. Solve -n = -0*r - 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*r + 4275 = 420 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 27*g + 3. Let w be b(-27). Let x(p) = -5*p - 3*p + w*p**2 - 6*p + 21*p. Let r(z) = -z. Determine r(x(j)).\nAnswer: -3*j**2 - 7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 34 = 5*v, 4*v = -2*c - 2 - 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 200*c + 618.\nAnswer: -2*(c - 3)*(c + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 31 - 30 - 3425*r + 84 to l*r + s and give l.\nAnswer: -3425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -10 - (-1 + (-5 - -9))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 20 = -u + 8*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 209020?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.41 - -0.01. What is the second smallest value in -0.3, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1360 - -1467471?\nAnswer: 1471051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 - 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20367 - 20367. Sort 293, k, -3.\nAnswer: -3, k, 293","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + 80 + -87?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 351*o + 2435. Calculate n(-6).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.054 * 909.59\nAnswer: -49.11786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.111748 - -21.11. What is z rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/319 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**2 + 2*w. Let a be r(-1). Let j(u) = 2*u**2 - 4*u - 1. Let l be j(a). Let n = l + -4. Which is smaller: n or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 261, 444, 665, 936?\nAnswer: 1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31, 29, 27?\n\"Answer: -2*o + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 336614 to the power of 1\/2, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 466*y**2 + 5856*y - 2656. What is o(-13)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*(-544)\/432)\/(20\/(-30))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**2 - 6*u**2 + 2*u**2 - 3*u**2 + 2*u**2 + 3*u**2 + (-2*u - u + 2*u)*(0*u + 0*u + u) - 20 + 2*u**2 + 20 + u.\nAnswer: 4*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 11*o - 12. Let m be k(10). Let b(w) be the first derivative of 3*w**2\/2 + 4. Determine b(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 6*n - 3*b - 107 = -3*n, b = 5*n + 36 + 31 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - s - 18 = 2*s, 5*s - 1 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 36. Put 2, -1, 4, f in descending order.\nAnswer: 4, 2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 5*w**2 + 8*w - 4. What is u(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 4 (c) -1\/24 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 143205.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o + 4*z = -108, 5*z + 73 = 3*o. What is the remainder when o is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*f = 363*f - 1569 + 4747 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11, -52, -127, -242, -403, -616, -887?\n\"Answer: -w**3 - 11*w**2 - w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38387, 77060, 115735, 154412, 193091?\nAnswer: 231772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -303*b**2 - 1706*b**3 + 105*b**2 + 103 + 96*b**2 + 102*b**2 wrt b.\nAnswer: -5118*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**7\/77 - 7*f**6\/165 + 3*f**5\/110 + f**4\/22 - 2*f**3\/33 - 5*f. Suppose v(g) = 0. What is g?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) - (-4 + (sqrt(171) - sqrt(171)*2)**2) - 4*(sqrt(171) + -3).\nAnswer: -155 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5419235351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -103, 4\/13, -0.4, -20?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -92, -159, -270, -425, -624, -867?\n\"Answer: -22*f**2 - f - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1557 - -694. Is z at most -861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-3)*c))\/c**(-14) assuming c is positive.\nAnswer: c**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 49. Let z = -49 - o. Let u(r) = -4*r - 3. Determine u(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 11155 (c) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**5 + 3*q**4 + 1029*q**3 - 7563*q**2 - 1026*q + 7560 = 0. Calculate q.\nAnswer: -21, -1, 1, 10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9*h**2 + 1. Let u be r(1). What is the greatest common divisor of 745 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uubkpddpuu. Give prob of picking 1 b and 1 d.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Suppose m*y - 23 = -y + 5*h, 2*h + 32 = 5*y. Suppose 0*z = z - y. Solve 0 = z*f - f + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -135, -116?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 223.3938km?\nAnswer: 223393.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 1:12 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 14. Suppose 0 = 5*h - 41 - f. Solve -r = 5*q - h - 6, 15 = 5*r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) - 2*sqrt(78)*-2) + sqrt(78) + sqrt(78) + sqrt(78))*6)\/(sqrt(384) - (sqrt(384) + (sqrt(384) + 2*sqrt(384) + sqrt(384))*3 - sqrt(384))) + -5.\nAnswer: -5 - 6*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -5545?\nAnswer: -5555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14446?\nAnswer: 2, 31, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 671?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -4 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 2*r**3 - 2*r**3)*(16*r - 30*r + 49*r)*(17 + 101 + 46).\nAnswer: -11480*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 182\/31 less than or equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 13) to base 15\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 3:02 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2908730 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b + 17. Let n be c(5). Let v(u) = u**2 + 3*u - 2. Determine v(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3) - (-20)\/6. Suppose -5*t = -2*n - 37 - 26, q*t + n - 40 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5966*z**3 + 5*z**2 + 47*z + 39. Let x(t) = 8949*t**3 + 7*t**2 + 70*t + 55. Let y(o) = -7*h(o) + 5*x(o). Find the second derivative of y(f) wrt f.\nAnswer: 17898*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2, -19, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -51, -122, -233, -390, -599, -866, -1197?\nAnswer: -1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (3 + 5)) + 9 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 272\/(2 + 7\/(-7)). Calculate the highest common factor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*s - 74, 2*d - 43 = 5*s + 7. Calculate the greatest common factor of 320 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 68*k + 5 + 18*k - 25*k.\nAnswer: -75*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0121127358 less than -0.5?\nAnswer: -0.4878872642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 99944424?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o + 3. Let q(z) = -7*z + 7. Let m(r) = -5*p(r) + 2*q(r). Let g(t) = -15*t - 4. Let u(h) = -g(h) - 6*m(h). Find the first derivative of u(i) wrt i.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6144 by 128.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - i. Let t(m) = -m**3 + m**2 - 3*m - 3. Let c(u) = 2*j(u) - t(u). Let k(v) = 2*v**3 + 2*v**2 + 3*v + 8. Determine 8*c(b) - 3*k(b).\nAnswer: 2*b**3 + 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202103 + 1?\nAnswer: 202110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(4)\/(-2*sqrt(128) + sqrt(128)))**2 + -1.\nAnswer: 5*sqrt(2)\/4 + 769\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24489 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -68, -0.5, 6\/5, 2, 115, -1\/7, -2\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 - 0.3. Let r = j - 0.6. Let n = -15 - -12. What is the second biggest value in n, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1.2. Let m be (5\/(-2))\/((-6)\/(-4)). Let s(o) = -2*o**2 - 13*o + 9. Let j be s(-7). Which is the second smallest value? (a) j (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 621.\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 18 = 2*a, 0*a = 4*y + a + 24 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 181979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*j**4 - 1019*j**2 - 4682?\nAnswer: -16*j**3 - 2038*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 5*t**2 - 5*t + 7. Determine j(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 2 = 13*h. Let n be 1 - (12\/10 + h). Determine c, given that 0*c + 2\/5*c**4 + 0 + 2\/5*c**2 + n*c**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-9) + (-26)\/6. Let s(o) = o**3 - 7*o**2 + o - 9. Let r be s(7). Which is the nearest to 1\/3? (a) h (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 17*q**2 + 13*q. Let c = -114 + 88. Let f(n) = 4*n**2 + 3*n. Let w(l) = c*f(l) + 6*x(l). Let h(m) = 40*m**2. What is w(h(k))?\nAnswer: -3200*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 9:37 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*y**2\/13 - 250*y + 812\/13.\nAnswer: 2*(y - 406)*(4*y - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34770*a**4 + 3536?\nAnswer: -139080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -1) + (7 - 21) + 17 + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 47. Suppose 110 = 4*u + u. What is the remainder when (q - -56) + 0 + 4 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -598*a - 843*a - 18377 = 831*a - 2663*a for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10830 - 358?\nAnswer: 10461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-592) + 25298\/30303?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - 1703\/(-91) - 1064\/49\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -28, 0, -3, 20, 2, 72 in descending order.\nAnswer: 72, 20, 2, 0, -1, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.99908 - -19. Round g to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3 + 73267*k**2 - 57124515*k + 11194617969 = 0 for k.\nAnswer: 393, 72481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7160 and 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -625513 + 5?\nAnswer: -625508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 908993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/9799100 and -49\/11600.\nAnswer: 39196400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 62*y**2 + 299*y + 1475. What is h(-5)?\nAnswer: 1530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**8\/336 + 2*g**7\/105 - g**5\/6 - g**4\/24 + g**3 - g**2 - 54. Find a such that j(a) = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -1331*f**5\/10 - 17*f**4\/12 + 39*f**2\/2 - 1369*f + 1. What is the third derivative of u(c) wrt c?\nAnswer: -15972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1150 times -0.073991\nAnswer: 85.08965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 - 1.6. Which is the second smallest value? (a) 1 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0.5. Suppose 25 - 5 = -5*i. Let d = -0.1003 + -2.8997. Which is the biggest value? (a) d (b) i (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 46*c**2 - 642*c - 18. Give n(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Suppose 0 = -4*l + b*v - 18, -2*l + 5*l + 2*v + 5 = 0. Let h be (l\/1 - -1) + 3. Solve k - h = 2*n - 9, -5*k - 25 = -5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2798.154 years in millennia?\nAnswer: 2.798154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-384350)\/(-400) + (-2)\/(-16)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/2 and 1335\/(-100)*1\/((-1872)\/12).\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8701045561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w - 9. Calculate l(-15).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + 1 + sqrt(425) - sqrt(425)) + sqrt(425))**2 - (2 + sqrt(425) + 1))*2*5 + 0.\nAnswer: 150*sqrt(17) + 4260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5899\/23522 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**5\/30 - 1107*g**2. Let j(f) = -338*f. Let q(c) = -c. Let i(l) = j(l) - 169*q(l). Give i(x(y)).\nAnswer: -338*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 6489 + 1743. Let y = 1 - -6. Suppose 0*g = y*g - l. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = b - 0*o - 14, -2*b = 5*o - 28. Suppose -3*q + 2*d = -32, -5*q - d + 21 = -15. Calculate the remainder when b is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 642*s - 1309. Give i(1).\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 + -67. Let n(q) be the third derivative of -q**3 + 0*q - 5*q**2 - 1\/15*q**5 + 0*q**4 + o. What is the derivative of n(h) wrt h?\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22548 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17242 (base 14) to base 4.\nAnswer: -32023122","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, -29, 22146?\nAnswer: 22146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 57317, 114633, 171949, 229265, 286581, 343897?\n\"Answer: 57316*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43\/5 - 149\/15. Let s(l) = l**2 + 3*l + 1. Let o be s(-3). Let c(u) = -u**2 - 2*u - 3. Let i be c(-2). What is the third smallest value in i, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61 and 1586?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-24) - (-4 - 63\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15 - 22014313093.\nAnswer: -22014313092.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2640*f - 2126 + 22791 = -34775 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -9*(-4)\/(-12) + 149 is divided by 40.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*m + 84*m - 14*m in the form u + a*m and give a.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**7\/n)\/n**(1\/5)*(n\/(n*n\/(n\/(n**(3\/5)*n))))\/(n**(2\/13)\/n))**(6\/11) assuming n is positive.\nAnswer: n**(1968\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.4. Let h = 191 + -208. Which is the nearest to i? (a) 2\/5 (b) -3\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(637) - (sqrt(637) + -1)*1 - sqrt(637)) + -1 + (sqrt(637) - sqrt(637)*-1) + sqrt(637))*4)**2 + 1.\nAnswer: -224*sqrt(13) + 40773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 4*d - 16, 0 = -d - 9*h - 242 + 216 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**3 + 5*d**2 + 6*d + 3. Calculate b(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 48 + 806*i - 24 + 581 wrt i?\nAnswer: 806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (426\/(-4) - 3)*(-6)\/9 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l = -38*l + 6678. What is the smallest common multiple of l and 21?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12941 - -6126. Suppose -2*p + r = 2*l + 5069, 3*p = l - 6995. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77766500?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10*(-165)\/(-110)*1\/15. Suppose -q = q - 3*x - 479, 0 = 2*q - x - 485. Let t = q + -1711\/7. Are v and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)\/j**(-5))\/((j**(-1\/6)\/j)\/j*j**(-6))*(j**(2\/7))**(-35)*(j\/(((j\/j**(-1))\/j)\/j))**29 assuming j is positive.\nAnswer: j**(169\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19386187?\nAnswer: 37, 709, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y**2 + 3207*y - 1603*y + 0*y**2 - 1604*y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*p - o - 75, -3*p + 100 = 2*o. Let u be (-51)\/(-2)*(-20)\/p. Let i = 47 + u. What is the remainder when i is divided by 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 139912419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3690137 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from jjjjwzjzzzjeaz.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 501284?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 152213842 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 221\/5 + -44. Let b = 458225275\/55395222 - -1\/485923. Let c = b - 49\/6. Sort 2\/7, z, c in descending order.\nAnswer: 2\/7, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -14*c**2 + 680*c + 6. Let o(r) = -24*r**2 + 1360*r + 10. Let j(h) = 10*n(h) - 6*o(h). Find p such that j(p) = 0.\nAnswer: 0, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + 24. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -52546*f + 157444. What is i(3)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0439? (a) 20 (b) -8 (c) -3\/2 (d) -5\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 5 + -4 - 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6134139ml?\nAnswer: 0.0006134139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -604, -808, -1012, -1216, -1420, -1624?\n\"Answer: -204*k - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60987*i**6 - 163*i**3 - 2718*i**2 - 392*i?\nAnswer: 7318440*i**3 - 978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(-9)))\/m)\/m*m*m**(1\/5)\/m)**(-24) assuming m is positive.\nAnswer: m**(1296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*b = 17, -5*h - b + 40 = 4*b. Suppose h*n = 6*n - 127. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*a + 3*t + 22, 0 = -2*a + 3*t + 16. Suppose 6 = a*f - 24. Let k(l) = -l + 9. Let d be k(5). Solve f = -x + d*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35566 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -130 + -15?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30*(-4)\/(3 - 7) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3 + 731*v**2 + 1465*v + 733 = 0. What is v?\nAnswer: -1, 733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 24 (b) -3\/7 (c) 1225 (d) -2 (e) -0.1 (f) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 4*q**2 - 3*q + 3. Let k be i(3). Suppose j = -4*s + 87, k*j - 47 + 131 = 3*s. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445306027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + (6 - 12) - -4?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1211268223 to the nearest integer?\nAnswer: 34803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 7:49 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 48967, 195962, 440977, 784012, 1225067, 1764142, 2401237?\n\"Answer: 49010*z**2 - 35*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3137203*a - 1 + 1 - 3137201*a. Let n(t) = -t - 5037. Calculate l(n(d)).\nAnswer: -2*d - 10074","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -3 (c) -3\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o**2 - 2. Let t(z) = -30*z**2 - 11. Let q(c) = -33*b(c) + 6*t(c). Let j(h) = -h. Calculate q(j(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -270 + 286. Suppose u + 2 = 3*m. Suppose -2*n = -2*c + 30, 0 = 2*c - 3*n - 32. What is the least common multiple of c and m?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (770\/(-20))\/(15\/(300\/10))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*w + 51*w + 2535 = -51*w - 50*w for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 0*h**2 + h**2)*(1167 - 1167 - 14*h**2).\nAnswer: 14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18587 - -12?\nAnswer: -18575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -624*q - 4985. What is the remainder when 27 is divided by x(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(10\/3) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvt when three letters picked without replacement from {h: 1, t: 7, v: 3, z: 5}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -0.03.\nAnswer: -2.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = 3*n + 5*f, 8*n - 13*n + 619 = 3*f. What is n rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from ajmmajmmjtjaammjjj.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40040 - -1433?\nAnswer: 41503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11229413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4937 - 15136 + 5098 + 5101 - 9*o**2 + 31*o**2 + 11*o**2.\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + t + 1. Let w be i(-5). Let a = w + -10. Let m = 40 + -18. Calculate the greatest common divisor of a and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5\/4 + 1043*y**4\/4 + 6187*y**3\/4 - 36247*y**2\/4 + 12439*y - 5185 = 0. Calculate y.\nAnswer: -1037, -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 47, 58, 67, 74?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2733, 0.5, -5.\nAnswer: -5, 1\/2733, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950168178.\nAnswer: 2, 3, 863, 20389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2605 - 1485 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4356 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*q + 5 = -79*q + 3*u, -q + 3*u = 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 t when three letters picked without replacement from {n: 4, a: 5, y: 1, t: 6}?\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0 = -5*l + 4, -3*l - 3*f = 0. Suppose -n + 20 = 4*x, -4*n + x = -l*x - 61. Calculate the least common multiple of n and (3 + -4)\/(2\/(-4)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 3 - 2*-4. Let l be i + (2 + 0 - 2). What is the greatest common factor of 28 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 1)*(0 + 0 - 2*q) + 5*q - 25 + 11 + 38*q as l*q + a and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 3, y: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/27, -0.3 in ascending order.\nAnswer: -0.3, 2\/27, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.21872001076 + 1.16502178. Let a = o + 19.05369809476. Let i = a + -19. Round i to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.138 + 1.862. Let p = -9 - -10. What is the nearest to p in -1, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -14*o**3 - 8*o**2 - 3981*o + 17. Let i(w) = -12*w**3 - 7*w**2 - 3984*w + 15. Calculate 8*i(j) - 7*x(j).\nAnswer: 2*j**3 - 4005*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 39*v**2 - 12*v + 21. What is the hundreds digit of t(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 4*w - 80, 5*v + w - 87 + 5 = 0. Find the third derivative of -49*l**2 + 5*l + 48*l**2 + 8*l**6 - 3*l - 2*l**3 - v*l wrt l.\nAnswer: 960*l**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275185039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*b + 33*b = 23*b + 1529050. List the prime factors of b.\nAnswer: 53, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 50912, 102492, 154060, 205610, 257136?\n\"Answer: -j**3 + 51587*j - 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.3, -24, -0.1 in increasing order.\nAnswer: -24, -0.4, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 5:16 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -64*u**3 + 28. Let n(h) = -7*h**3 + 3. What is -28*n(t) + 3*q(t)?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**4\/12 - 4*y**3\/3 + 10*y**2 - 64*y\/3 - 2777. Find v such that r(v) = 0.\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4059?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l - 23. Let h be a(-3). Let x be (4 - 2 - -13) + h. Suppose 0*m + 4*m = 0. Solve 0*k + x = -i - k, 5*i + 2*k + 35 = m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 39. Suppose i = -6*u - 49905 + 13905. What is u rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185525961.\nAnswer: 3, 859, 71993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 499 - 501 - 2*l - 144*l**2 - 61*l**2 + (l - l + 3*l)*(l - 4*l + 5*l) + 0 - 2*l**2 + 0 in the form r + i*l**2 + w*l and give i.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-4)*(-2 + -46). Suppose 27 = -2*g - 5*c, 0 = g + 4*g - c + 27. Let h = g - a. Is h 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 369680.\nAnswer: 2, 5, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406075597 is divided by 2380?\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5709 divided by -173?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22059 divided by 9.\nAnswer: 2451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, -4, -3, 385?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(((-56)\/(-196))\/((-4)\/7)). Let c(p) = -4*p**2 + 16. Let l be c(d). Solve 10 + l = 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56071 and 926961.\nAnswer: 43567167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25.2 - -124.8. Let x = 137.64 - q. Round x to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136125 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0408403*-0.3.\nAnswer: -0.01225209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/(-100))\/(8\/10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 - -387\/4. Which is the second biggest value? (a) -11 (b) -1\/4 (c) m (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/5631?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3436 = 266*q + 1840 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 2*k + 4*y + 7, -4*k + 2*y + 4 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*u**5 - 4854720*u**4 + 4715*u**2 - 23*u - 41?\nAnswer: -240*u**2 - 116513280*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p - 45. Let h(c) = -c - 33. Let n(k) = 200. Let m(w) = 4*h(w) + n(w). What is 5*m(u) + 7*r(u)?\nAnswer: u + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 35 = -51. What is the remainder when s is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**9\/1512 - i**5\/40 + i**3 - 2. Let q(m) be the third derivative of k(m). What is the second derivative of q(a) wrt a?\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -65*i**4\/3 + i. Let z(j) = 26 - 39 + 27 + 23 - j - 37. Calculate z(f(s)).\nAnswer: 260*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3795787*i + 2183532?\nAnswer: -3795787","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77322.\nAnswer: 2, 3, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.22 + -18. Let x = o + -16.22. Let y = 13 + x. Which is the fourth biggest value? (a) 1 (b) y (c) -0.2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggzz when four letters picked without replacement from {g: 2, z: 4, m: 10, k: 4}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047537656 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -20 - (12 + (5 - 8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*m = -307*m + 130575. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 827 - 828. What is the second smallest value in 0.7, m, -0.49, 2?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3489*i**2*r**3 - 56*i**2*r - 13*i*r**2 - 2*i - 247*r**3 + 7*r wrt i.\nAnswer: 6978*r**3 - 112*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (8 + 3) - 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, o: 2, e: 6}. Give prob of sequence eoo.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 9 = 0, 3*z - 12 = 12*a - 8*a. Suppose -5*x = -3*n - 15 - 16, -4*x + 2*n = -26. Calculate the greatest common divisor of x and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1071, -1348, -833, 474?\n\"Answer: 396*w**2 - 1465*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/169651 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(35)\/(sqrt(1008) - sqrt(1008)*-2) + 1.\nAnswer: sqrt(5)\/18 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*(4*sqrt(304) + sqrt(304)))*3.\nAnswer: 6 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -749 by 107.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**4\/72 + 55*c**3\/4 - 247*c**2\/6 - 3334*c. Solve l(b) = 0 for b.\nAnswer: 1, 494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26060256.\nAnswer: 2, 3, 41, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -86 and -63.\nAnswer: 5418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -74, -111, -148, -185, -222?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**5\/60 + 263*a**3\/6 + 24*a**2. Let t be f(0). Suppose 3*g - j + 50 = t, 4*g - 2*j = 286. What are the prime factors of g?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -19\/70?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*g**5 - 31*g**4 + 25118*g.\nAnswer: 1040*g**3 - 372*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 80b61 (base 13) in base 3?\nAnswer: 102201002022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**5\/210 + d**4\/84 - 7*d**2. Factor q(v).\nAnswer: 2*v*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 14*u**2 - 13*u + 41. Let d be g(-15). Let k(b) = 1 + 11*b**2 - 11*b**3 - 2 + b - 15 + 10*b**3. What is k(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**2 - 1\/6*o**3 - o + 5\/24*o**4 + 0 - 5\/48*o**5. Let v(l) be the first derivative of p(l). Solve v(j) = 0.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.8, -1\/11, -5, -0.043 in increasing order.\nAnswer: -5, -0.8, -1\/11, -0.043, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = b - 34, -x - b + 14 = -4*b. List the prime factors of x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) 0.032 (b) -0.0586 (c) -2\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -688 + 853. What is the remainder when w is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5657005429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, k: 1, r: 7, y: 3, t: 6}. Give prob of sequence rrt.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 2*w**2 - 4*w**2)*(-518 + 910 - 143) - 7*w**2 + 0*w**2 + w**2.\nAnswer: -504*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*m**2 + 1674*m - 3*m**4 - 1729*m + m**4 wrt m.\nAnswer: -24*m**2 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 515 - 255599\nAnswer: -255084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -46. Let u be (12\/15*(-10)\/2)\/v. Is (0 - 1)*(-1262)\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by -3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -402, -513, -624?\nAnswer: -735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14 - 9.34. Let w = j - -9. Which is the third biggest value? (a) -0.5 (b) 0.05 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -48 in 0.4, 3, 1\/4, 0.108, 27?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 10:24 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -24.8 and -2.\nAnswer: -26.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - -3*(-15)\/9. Let b = g + 12. Suppose b*n + 3 - 18 = -5*v, -4*n - 4 = -4*v. Solve -4*u + 5*i = -21, 4*u - 5 = -u + v*i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 11:43 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c - 14. What is the remainder when 53 is divided by o(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(243) - (sqrt(243) + -1)) + -1 + sqrt(243) + (0 + sqrt(243))*-4 + sqrt(243))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1271, -5098, -11463, -20348, -31735, -45606, -61943, -80728?\n\"Answer: 3*b**3 - 1287*b**2 + 13*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11950 - -11951. Which is the closest to 369? (a) 1\/9 (b) 4\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11165.6 * -0.3\nAnswer: 3349.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -106, -88, -48, 20, 122, 264, 452, 692?\n\"Answer: f**3 + 5*f**2 - 4*f - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 5:59 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4430 + 2?\nAnswer: -4423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b97 (base 12) to base 14\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7036 + 0.494. What is o rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6601?\nAnswer: 7, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u - 25. Let p be (16\/10)\/(2\/u). Let h be (-3 - -5)*1 + -2. Solve -p*f + h*f = -8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69006 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262106 is divided by 52294.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -550 - -527.3. Let v = -23.7 - z. Which is the biggest value? (a) 0.4 (b) v (c) 4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 1\/((-7)\/4) - 776864\/(-1232)?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 29\/12*d**4 - 4*d + 0 + 1\/2*d**2 + 1\/6*d**3. What is the units digit of s(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -17. Which is the third biggest value? (a) 2 (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**3 + 220*m**2 - 1936*m = 0. Calculate m.\nAnswer: 0, 11, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 - j**3 + 20*j**3 - 3 - j**3 wrt j.\nAnswer: 54*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 27. Let f(p) be the third derivative of -1\/9*p**3 + 1\/18*p**4 - 1\/90*p**5 + p**q + 0 + 0*p. Factor f(k).\nAnswer: -2*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 2 - -2) + 0. Let d = -4 + -2. Let t = d + 10. Solve -y = m - t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004226 to 4 decimal places.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 8 = -2*d, -5*q = -5*d - 730. Let j(c) = -2*c + 5. What is the remainder when q is divided by j(-12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 63. Let c(h) = -35*h + 21. Let z(m) = m - 1. Let r(x) = t*z(x) - c(x). Let a(f) = 6*f + 6. Calculate 5*a(n) - 4*r(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 + (3 - (4 - -1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*s = 8, 3*o + 3 - 24 = 3*s. Suppose -9 = -q - o*q. Suppose 2*x - 10 = q*a, -2*a = a. Solve -3*d + x*y - 9 = 2, 0 = 4*y - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43*m**2 + 187*m**2 + 85*m**2)*(1 - 1 - 2) to the form g + w*m**2 + n*m and give w.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 778548072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 12*d - 110 = 28*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a - 16 = -18*a. Calculate the least common multiple of a and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/40*(5 - (2 - 2)). Let p(n) be the first derivative of 17*n**6\/120 - n**4\/24 - 13*n**2\/2 - 8. Let t(f) be the second derivative of p(f). Give t(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**3 + 2*f**2 - 461*f + 2*f**3 + 2*f**3 + 464*f - f**2 to k + w*f**3 + y*f**2 + i*f and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 477839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 2 + -1 - -8. Suppose 5*u = -3*d + 44 + 45, -3*d = -x. Solve 2*s + u = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 536 divide 12866680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1763866?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3424558 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11931 and 79734?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237, -896, -2765, -6450, -12557, -21692, -34461, -51470?\nAnswer: -73325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -6\/505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (3 + -5 + (-1 - 6))) + 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 163 - 115. Suppose 0*a + w = 4*a. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -68252.\nAnswer: -68250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - -8. Suppose -4*p = 2*p + s. Sort 0.4, -0.1, p in ascending order.\nAnswer: p, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zoih when four letters picked without replacement from {i: 1, o: 1, z: 1, h: 1, x: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p**2 - p**3 - p**3 + 0*p**2 - 148*p + 149*p as k*p + x*p**2 + w*p**3 + t and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -23, 65951 in decreasing order.\nAnswer: 65951, -1, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7380 is divided by 151.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 190882837 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d + 33612 - 33612.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 12 - ((7 - 11) + (1 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*y - 23*w + 18*w, 5*w = y - 9. What is the greatest common divisor of y and 332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 42\/11, -4, -5, 3, -15920?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 + 6*o - 53. Let m(x) = -x**2 - 5. What is h(n) + 5*m(n)?\nAnswer: -n**2 + 6*n - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -15. Suppose -v*b = -0*b - 12. Let d be (84\/63)\/(b\/9). Is -1.4 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44 - 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90 - 90.0000032. What is y rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/5197 - -5224\/46773. Let y(x) be the first derivative of -4 + k*x**4 + 2\/9*x - 2\/9*x**2 - 2\/45*x**5 + 0*x**3. Find s, given that y(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29940360 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15*354.8\nAnswer: -5322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjkkjjjkjj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02002 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3548191529 to the power of 1\/4, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 32*y - 1813. Let l be n(-62). Solve 0 = l*s - 51*s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 520 and 416.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3056 + 8.4707. What is x rounded to two decimal places?\nAnswer: 6.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5277941761 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-7 - (-9 + (5 - 10) - -9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57543462?\nAnswer: 2, 3, 3196859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57869558 is divided by 75?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3*c - 7)*(-3 - 3 + 1)*(-74*c + 11*c - 73*c).\nAnswer: -2040*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y = -195 + 127. What is the nearest to 1\/3 in -5, -1\/4, y, -1.85?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*f + 19 = i + 79*f, 3*f - 13 = -i. Solve 4*m = 4*t - i, 0 = t - 2*t - 4*m + 21 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -10. Let m(n) = -n**2 - 10*n - 3. Let q(d) = 2*d**2 + 21*d + 7. Let p(i) = -13*m(i) - 6*q(i). What is the units digit of p(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13448575 divided by 2689715\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2346 and -101\/1087762?\nAnswer: 3263286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19309 - -0.45715367662.\nAnswer: -19308.54284632338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111121 - 12?\nAnswer: -111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 7:13 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-8 - 0 - -6) - (-1 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 9 = m, -3*m + 2*v - 50 + 3 = 0. Let b be (m + 0 + 3)\/1. Is ((-242)\/1)\/(b\/7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -13355?\nAnswer: -13352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1493 - -6428. List the prime factors of i.\nAnswer: 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**5\/2 + 9723*s**4\/2 - 5542827*s**3 + 2501272356*s**2 - 320574482448*s + 631188140352 = 0.\nAnswer: 2, 203, 1012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -106, -5, -21, 16.\nAnswer: -106, -21, -5, 0, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313 is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 - 8*m + 11. Is w(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.3 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 + (-7 - (8 - (17 + -1))).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.71, -2\/5, 2, 73 in increasing order.\nAnswer: -2, -2\/5, 0.71, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 28 = -4*i, -4*m - 7 = 5*i + 19. Let g = 20 - 13. Suppose -2*o + 19 = -5*l, l + 5*o + 7 = g*o. Sort -9, 4, l, m in increasing order.\nAnswer: -9, m, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 0*t + 4. Suppose 0 = u + 3*u. Let w be -2 - (1 + u) - -6. Solve t*o - w = -13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 2 - 2)*(2 - 1 + 1) + (0 - 4 + 2)*(13*f - 26 + 26).\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20242020413 - -3?\nAnswer: 20242020421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 + (1 - -3) - -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34763\/23 + 1512. Suppose 4*h - o = -3971, 4*h + o + 3965 = -0*o. What is the common denominator of l and ((-3)\/(-12))\/((-12)\/h)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**6\/2 + 3*v**5 - 15*v**4\/2 + 10*v**3 - 15*v**2\/2 + 3*v - 8. Find r such that n(r) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018915 rounded to four dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -19536 divided by 1628?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/188 and 7\/282.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 less than 110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2088251 and 93\/6632?\nAnswer: 16706008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.2, 2\/5, 2\/7, 106 in increasing order.\nAnswer: -0.5, -0.2, 2\/7, 2\/5, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -9, -26, -61, -120, -209?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1047 - 870 = 0. Let b = -426 + v. Suppose 8*x - 5*x = b. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 755 divide 263118255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93150 and 675?\nAnswer: 93150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 20 = 3*w - v, 0 = -2*w - 5*v + 20. Solve 1 = -w*n + 21 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*t**6 - 4*t**3 - 11*t**2 + 8*t?\nAnswer: 6600*t**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 738 and 1288200?\nAnswer: 158448600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21710 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3474*j + 3340*j - 449724 = 0 for j.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570*f + 4 = -569*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8666 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qciqcqccqqqqqjqjcc. What is prob of picking 3 c and 1 q?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 69860.86ug?\nAnswer: 69.86086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8949248 and 518.\nAnswer: 331122176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/2 + (-6)\/(-4). Suppose 6 = 2*b + 4*l - 4, -l = 3*b - x. Find the common denominator of 1 + (-29)\/24 + b + -3 and -107\/10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1 = -m, 6*q - 2*q - 4*m + 12 = 0. Suppose 2*y + 3*p = -8, -6*y + q*y - p - 26 = 0. Which is the biggest value? (a) -3 (b) y (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 + 114. Suppose -y - 26 = -a. What is the remainder when a is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/20 and -89\/220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c + 3. Let q(k) = -2. Let b(j) = 1. Let z(u) = 7*b(u) + 4*q(u). Give w(s) + 3*z(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11140 (base 12) to base 14.\nAnswer: 8384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21571\/196 - 439\/4. Let m = -937\/980 + k. What is the common denominator of (-6)\/4*(-13)\/8 and m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*c = 23 + 66, -4*v = 4*c - 184. Let l = v + -34. Suppose -3*m - 6 = -5*m. What is the greatest common divisor of l and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36766\/117414 - 2*3\/66\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11040*i - 4\/3*i**3 - 724\/3*i**2 - 10800.\nAnswer: -4*(i + 1)*(i + 90)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**5 + 3*r**4 + 15*r**3 + 9*r**2.\nAnswer: -3*r**2*(r - 3)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 6755689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -5\/2, -2, 0.5.\nAnswer: -4, -5\/2, -2, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 6:35 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1004, 990, 948, 866, 732, 534, 260?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1645417*52\nAnswer: -85561684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/((-2)\/12). Suppose 64 = 19*o - u*o. Solve -o - 11 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 10 - (-1 + 5 + -16)) + -46.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 166, -221, -618, -1019, -1418?\n\"Answer: o**3 - 11*o**2 - 361*o + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 3*f - 2, -3*v = -4*f + 2*f + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 572 times -0.2\nAnswer: -114.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 84155153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 4*j, 2*j = 3*r - 0*r + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from yyyyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**24)\/(h**(-1)\/h)*h**(1\/45)\/((h*h\/(h\/((h**(2\/43)\/h)\/h)))\/h) assuming h is positive.\nAnswer: h**(-36812\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -445 - -391.8. Let q = b - -53. Which is greater: q or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -105, -18, 93, 222, 363, 510, 657?\n\"Answer: -r**3 + 18*r**2 + 40*r - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmm. What is prob of sequence mm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551 = -1295*d + 1177*d + 1967 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(567) + -1 + -2 + 4 + (((sqrt(84)*2 + sqrt(84))*3 + sqrt(84))\/sqrt(12) - (4 + sqrt(7) + 0 + sqrt(7) + -4)))**2.\nAnswer: 204*sqrt(7) + 2059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**5 - 24*g**4 - 144*g**3 - 160*g**2.\nAnswer: 4*g**2*(g - 10)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 853 + -14505\/17. Let o = -1586\/7 + 134712\/595. Let d = j + o. Which is greater: 12 or d?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/(p**(-2\/21)*p))*p)\/p**(-5))**(-40)\/((p\/(p\/(p**(1\/2)\/p*p*p)))\/((p*p**(-2\/9)\/p)\/p*p))**(-16) assuming p is positive.\nAnswer: p**(-18184\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 23*v + 11*v - 21*v - 24. What is the hundreds digit of x(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -3*x**5\/20 - 51*x**4\/4 + 105*x**3\/2 - 159*x**2\/2 + 1621*x - 1. What is z in r(z) = 0?\nAnswer: -53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**4 + 4*u**3 + u + 4. Suppose -3*k + 4 - 7 = 0. Let t(n) = -n**3 - 1. Let p(b) = k*x(b) - 4*t(b). What is the second derivative of p(z) wrt z?\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 74 = -44. Suppose 0 = -4*u + 2*g, -5*u - g + 26 = 3*g. Suppose -q + 2 = -u. Calculate the smallest common multiple of b and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k + 1. Calculate v(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 6900850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 17*j - 2920. Let u(w) = 5*w - 972. What is -2*l(f) + 7*u(f)?\nAnswer: f - 964","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0248 + -0.0457. What is x rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 4*d**2 - 4*d - 7. Let b be x(-7). Let o = -81 + b. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.74, 0.1, -3, 1.5, -1\/38?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {q: 5, f: 10, z: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 8 = 4*d. Suppose 0 = w + 3*j - 23, 0 = -2*w + d*j + 8 - 2. Let h(q) = -q**3 + 11*q**2 + 2*q - 13. What are the prime factors of h(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + t**2 - 4*t - 3. Let r be y(-2). Suppose c + r = 2. Put c, -4, -2 in descending order.\nAnswer: c, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 8) + 11 - (-2 + 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 minus -8257?\nAnswer: 8279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from fflvelqvfqqlqfvv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.52358 - 5?\nAnswer: -0.47642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 28. Let l be u(-18). Suppose 26 - 6 = l*i. Suppose 3*w - i = 22. What is the highest common divisor of w and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -0.4 (c) -63.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x**3 - 14526 + 7251 + 7275.\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -10164?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**6\/40 - m**4\/8 - m**3\/6 - 2*m**2 - 5. Let n(s) = 12*s**3 + 11*s + 4. Determine 22*i(a) + 6*n(a).\nAnswer: 6*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 2:01 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.296*-21\nAnswer: 6.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -2 - 2 - 0. Suppose 4*t + 4*f = b, -t = -5*t + 3*f + 35. Solve 3*n - 5*r - 1 = -0, 0 = n + 3*r - t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -246 + -112?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 1\/3, -0.3, 0.05, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9555 is divided by 354?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 8. Let y be f(-8). Suppose -2*c = j + 8, -j + c = -y*c + 2. Put -3, j, 2\/13 in descending order.\nAnswer: 2\/13, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2. Let f(q) = 6903*q. Let n(l) = -127*l. Let w(v) = -5*f(v) - 273*n(v). Determine w(a(c)).\nAnswer: -156*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -254\/15 or 5.08?\nAnswer: -254\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.45271602 to four decimal places.\nAnswer: -0.4527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*i - t + 23, 4*t + 4 = 0. Let f be (10\/(-3))\/(i\/(-63)). Suppose -c + 10 = 4*c, -5*p - 5*c = -f. Solve -p*z + 16 = -4*l + 2*l, -2*l = 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -35373 and -35349 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, -3, -13, 7 in decreasing order.\nAnswer: 7, 1, -3, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119) - (sqrt(119)*1 + sqrt(119)))*-6 + sqrt(119))\/((sqrt(84)\/sqrt(3))\/sqrt(4)) - 2*-1*(sqrt(1088) - (sqrt(1088) + -2)))**2.\nAnswer: 56*sqrt(17) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from laaallialiallaaai. What is prob of picking 2 l and 1 i?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5783267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 p, and 2 m when four letters picked without replacement from {m: 2, p: 1, c: 1, j: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 >= 132745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141834 is divided by 39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20803234 divided by -5?\nAnswer: -20803234\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*l - 4*l - 155, -2*l - 515 = 3*p. Let b be 2\/(-11) - (4 - p\/(-55)). Suppose -2*n + 3*n = -2. Sort 0.2, b, n in decreasing order.\nAnswer: 0.2, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -20 - (-7 - -8)) + 18 + 51 + -80\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10185 and 125110.\nAnswer: 254849070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31670 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1195 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22602 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/5 + 16*j**2\/5 - 46*j\/5 - 12.\nAnswer: 2*(j - 3)*(j + 1)*(j + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, o: 8, b: 2, l: 2, i: 2}. Give prob of picking 1 l, 1 i, and 1 b.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*-2*(4*sqrt(2299) + 0).\nAnswer: -264*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1196\/9 - -133. Which is the nearest to 2\/7? (a) -1\/4 (b) f (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93808 and 242464816?\nAnswer: 7216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*d*m - d + 2*m**3 + 13 wrt m?\nAnswer: -17*d + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 11:21 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19 from 81.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -3\/80*f**5 + 0 + 1\/8*f**4 - f - 3*f**2 + 1\/2*f**3. What is j in m(j) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a5a3 (base 11) to base 10\nAnswer: -14028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 488 + 304 = 0. Suppose 0 = -9*d + 579 - g. Is d bigger than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 85*z**2 - 10*z - 1. Is r(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5216 and 4456094?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/155)\/(-3 + (-527)\/(-155)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104*(-288)\/(-8424)*9\/1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 + -65)*(6 - (-66)\/(-9)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2\/21, 2, -13, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/9)\/((-4)\/(-42)*-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 82.491 (b) 5 (c) -0.5 (d) 5.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -124*k**4 + 95*k**3 + 101167?\nAnswer: -496*k**3 + 285*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 1:40 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7475 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(1\/6)*a**(1\/7)*(a*a*a*a\/(a*((a*a**(-4))\/a)\/a*a)*a)**(-48) assuming a is positive.\nAnswer: a**(-16087\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4157027044 to the nearest integer?\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1937 (base 11) to base 10\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + y - 10. Let v(x) = 35*x**2 - 10*x + 100. Let d(h) = -10*t(h) - v(h). Let z(j) = -6*j. What is d(z(f))?\nAnswer: -900*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, e: 1, n: 1, i: 1, d: 1, p: 2}. Give prob of sequence nndn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 343526 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: Suppose -3*l - 2*d = -75, 3*d + 3 + 22 = l. Suppose 0 = 3*z + 5*x - 85, -26*x + l*x - 39 = -z. Calculate the remainder when z is divided by 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.42 take away 11334188672?\nAnswer: -11334188673.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 10:04 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 16*z + 3. Suppose 11*s + 11 = 10*s. List the prime factors of g(s).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(6) - (sqrt(6) + sqrt(216) + sqrt(6) - sqrt(6))).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1093834?\nAnswer: 2, 7, 23, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 690 and 47775669.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7 = -4*a - 15, -3*a = -2*j + 11. What is the least common multiple of 12 and 2 + (1 - 41)*j\/(-2)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 680*o**7\/7 + 191*o**3\/3 - 338. What is the third derivative of p(s) wrt s?\nAnswer: 81600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*c + 62 = 0, -6 = l - 3*c + 13. Let u = 46 + l. Calculate 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 o be (-8)\/(-14)*14\/12. Let b(i) be the first derivative of -1 + 0*i**2 + 0*i - 2\/5*i**5 + 0*i**4 - o*i**3. Find the third derivative of b(r) wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 312 + 3. Suppose 0 = 4*j - n - 17. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)*v)**(-38)*(v*v*v**1\/v)**(-41) assuming v is positive.\nAnswer: v**(-398\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -311, -1682, -3959, -7136, -11207, -16166?\n\"Answer: i**3 - 459*i**2 - i + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.2 (c) 6067\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 5*y + 3. Let g be a(-5). Let u = 1 - -21. Suppose n - u = -2*l, 2*n - l - 46 = -g*l. Calculate the greatest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -1624150?\nAnswer: 324830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 + h**4 - h**4 + (-h**5 - 4*h**5 + 3*h**5)*(2 - 3 + 2) + 6*h**4 + h**5 - 2*h**4 + 0*h**5.\nAnswer: -3*h**5 + 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**3\/6 + c. Let x(q) be the third derivative of -q**5\/60 - 8*q**2. Determine x(j(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-5 + 1 - 5)) + (3 - 9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-5) + 12\/(-30). Let s(c) = c**3 - c - 1. Let a be s(2). Suppose w + 2 = p + 6, -4*w + 18 = -a*p. What is the smallest value in p, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 + -14.9. Let h = q + 20. What is the biggest value in h, 0.02, -1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64181 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/3))\/z)**(6\/13)*(z**(2\/7))**35 assuming z is positive.\nAnswer: z**(134\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -14 + 2. Let x(c) = c + 8. Let y be x(f). Suppose -u - 399985 = 5*h, -597670 = u + y*h - 197676. Round u to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7927836 to the power of 1\/2, to the nearest integer?\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(2)*-2 - sqrt(2)) - (sqrt(72)\/sqrt(4) + sqrt(18))\/sqrt(9).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1079\/10 or -2\/151?\nAnswer: -1079\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 287, 2646 in ascending order.\nAnswer: 1, 287, 2646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 818*t + 255.\nAnswer: 818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000187036646 to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**3\/2 - 58*z**2 - 560*z. Let d(k) = -3*k**2. Give d(y(o)).\nAnswer: -27*o**2 + 2088*o - 40368","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214, -498, -890, -1444, -2214, -3254, -4618, -6360?\nAnswer: -8534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 3. Let j(i) = 3*i + 7. Let t(m) = -2*j(m) + 5*p(m). Suppose -8 = -2*q + 6*q. Let a(w) = 2*w**2 + 4*w + 3. Let h be a(q). What is t(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -4\/5 (b) -0.3 (c) -0.5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/10 of a millennium?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1303739, -5215059, -11733927, -20860343, -32594307?\nAnswer: -46935819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -184 + 482 - 110 + 2*b**2 - 183 + 2*b - 62*b**3 - 3*b**4 in the form p*b**2 + u + v*b + h*b**3 + m*b**4 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u. Let a(z) = 11*z. Give a(q) - 6*w(q).\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 313658, 628369, 943080?\nAnswer: 1257791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 - 5. Let h(b) = b**2 + 2. Let s(a) = -15*h(a) - 6*p(a). Let w(u) = -u**2 + 0*u**2 - u**2 + 2*u**2 + 3*u**2. Give w(s(o)).\nAnswer: 27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10188 and -0.45.\nAnswer: 10187.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 y when two letters picked without replacement from {l: 1, v: 1, p: 1, u: 1, y: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 980 + 971 - 78 = -235*x + 228 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - i + 7 = 0, -2405*i - 13 = 8*r - 2406*i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 1\/2 (c) -232 (d) 2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 5*r + 4. Suppose 0 = -r*t - 2. Let n = -211 + 206. Sort n, t, 5.\nAnswer: n, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 705 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1 - 5 + 4 - 12*o. Let l(g) = g. Determine x(l(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 0 - 1\/2*s + 1\/4*s**3 - 1\/4*s**2 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-6)*(3 - -8 - 14) - -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31185317.\nAnswer: 31185317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416\/(-8496) - (1 - 1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-15)*1)\/(6\/2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 2*j**7\/5 - j**5\/10 - 13*j**4\/2 + 138*j**2 - 6*j. Find the third derivative of d(f) wrt f.\nAnswer: 2016*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 461, -2\/13 in descending order.\nAnswer: 461, 4, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57665?\nAnswer: 5, 19, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -59*m**3\/3 - 118*m - 77. What is the first derivative of g(l) wrt l?\nAnswer: -118*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3426554*n**4 + 1716*n**2 + 248*n + 1?\nAnswer: -82237296*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*b - n - 4, 4*b = 2*n + 12. Solve 0 = -3*a - b*a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*q - 2 - 0, -3 = -3*q + 3*l. Let b(r) = 5 - 12*r**q + 5*r**2 - 7*r + 8*r**2. Let s = -5 - -11. Calculate b(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwd when three letters picked without replacement from awzffddzwdaza.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -99\/12511, 1, 0, 2\/3?\nAnswer: -99\/12511","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1098 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 528.\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p**3 + 2*p**2 - 5*p - 5. Let b(r) = 2 + 2*r**3 - r**2 + 40*r + 57*r - 95*r + r**3. Give 10*b(l) + 4*g(l).\nAnswer: 2*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 466 - 459 - -10*4\/(-6). Factor c + 1\/9*o**2 + 4\/9*o.\nAnswer: (o + 1)*(o + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 5*n - m + 24, 0 = 5*n + m - 69. Let b be 965999994\/n - 21\/(-49). Suppose -15*k + 5*k - b = 0. Round k to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 33 = -5*s, -v - 2*v = s - 11. Solve -v*o = -o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -2*k + 3*d - 54, 9 = 2*k - 3*d. Let p(q) = -3*q - k*q + 13*q. Let c(f) = -5*f. What is 4*c(g) + 25*p(g)?\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 + 113*b**2 - 36*b + 493. List the prime factors of y(-44).\nAnswer: 7, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14360 + 10070 = 330*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + -3 + (-187)\/(-14) and (-2 + (-180)\/(-88))*-103.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/18)\/((-217)\/(-63) + -4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -8*v - 74. Calculate the lowest common multiple of 18 and u(-16).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -254.23 times -0.5?\nAnswer: 127.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oec when three letters picked without replacement from epopeoorvrvorperc.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**4. Let u(m) = -52*m**2 - 5*m + 16*m**5 + 16*m - 64*m**4 - 3*m + 96*m**3. Let z(a) = 4*d(a) - u(a). Determine y so that z(y) = 0.\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -2.126\nAnswer: 6.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/10914 and -67\/48.\nAnswer: 87312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74)\/(-185) - -14*3\/270?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 87*d**2 + 168*d - 12 = 0.\nAnswer: -2, 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*r + r + 5*s, -r = -5*s + 18. Let o be (9\/7 - 1)\/(-2). Which is greater: o or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 4*m**4\/3 + 11*m**3\/6 - 8*m**2 - 43*m. Let x be u(7). Let y = x - 593. Is 36 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 4.94. Let o = -0.06 - x. What is the second smallest value in o, -2, 3\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 619059 by 2157.\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -108*s - 366. Calculate the smallest common multiple of w(-4) and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*u - 20819 + 21001 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - 6 - -79 - 46.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -906143, -906200, -906349, -906632, -907091?\nAnswer: -907768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -5. Suppose -2*q + 2 + a = 0. Suppose -q*s = -s - 108. What is the greatest common divisor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/39065 and -20\/213369.\nAnswer: 641173845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - l - 1 = 0, 2*l = -0*l + 10. What is the tens digit of (-1)\/h - ((-4760)\/(-12))\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-166)\/(-5146))\/((-30)\/20)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*7*(-136)\/(-28). Let j = f + -22. Calculate the greatest common factor of 48 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2 (c) -1.068767 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1430\/(-180) + 1\/(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f + 1180 = 0. Let x = 868 + f. Suppose -l = -4*l + x. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -71082 (c) -1 (d) -0.8 (e) -5 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 6*q + 8. What is the common denominator of 99\/8 and (165\/10 - 1) + q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110722621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-756)\/(-72)*1\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from taaoottaa.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkggkkkkkggkddrkmkgg. Give prob of picking 1 k, 1 m, 1 g, and 1 d.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 169c73 (base 14) to base 6\nAnswer: 25014421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 908758 by -1.\nAnswer: -908758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129350 is divided by 8079.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46544805 and 18585?\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**6\/960 + g**4\/64 + 51*g**3 - 173. Let h(f) be the third derivative of y(f). Solve h(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 1, 76, -29, -2.\nAnswer: -29, -2, -1, 1, 6, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 3.24 (c) 0.11 (d) -7\/5 (e) -3.6 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37765, 37755, 37745, 37735?\nAnswer: 37725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 0*u + 7*u + 2*u**2 + 8*u + 567 - 560. What are the prime factors of k(-17)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 8 + 7. Suppose -2*h + h - w = 0. Let v = -637.01 + 645.01. Put v, h, -0.5 in descending order.\nAnswer: v, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 254982?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9\/80 (b) 0.4 (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 - (-16 - (-19 - -40 - (2 + 20)))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 9. Let v = 9 + g. Suppose -105 = -v*q + 29. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202134 to the power of 1\/2, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15482792.06 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -346*q**2 - 45324*q + 273. Determine m(-131).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z**3 + 6*z**2 - 3*z + 3. Let y(k) = -7*k**3 + 5*k**2 - 4*k + 4. Let s(r) = -4*b(r) + 3*y(r). Find the third derivative of s(d) wrt d.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (164\/574)\/((-8)\/14).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11 - 5.89. Let s = 6.4 + o. Which is the third biggest value? (a) s (b) 4\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 5. Let d(i) = 2*i**2 + 4*i. What is the lowest common multiple of 3 + -4*(-1)\/(-2) and d(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2. Suppose -4*f - 141 = 9*f - 193. Let l(g) be the third derivative of -3*g**2 + 0*g**3 + 0*g - 1\/30*g**5 + 0 + 0*g**f. Calculate l(a(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/11*d**2 + 16\/11*d + 2\/11*d**3 + 32\/11.\nAnswer: 2*(d - 4)**2*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 14*a + 34. Is d(29) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1835, -2, -1, -4 in decreasing order.\nAnswer: -1, -2, -4, -1835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**4 + 13*a**3 - 101*a**2 - 189*a - 1 wrt a?\nAnswer: 96*a + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**3 + 2*w + 3. Let m be y(2). Let i = -37 - m. Let j(a) = -3*a**3 - 7*a**2 - 9*a + 2. What is the tens digit of j(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2 + 1053*g - 2102 = 0.\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + (6*(2 + sqrt(200)) + sqrt(200) + 3 + sqrt(200) + 1)*6)**2.\nAnswer: 91200*sqrt(2) + 469825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -5 - (2 - -7 - 21)) + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2 - 8386380*n = 0.\nAnswer: 0, 2096595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1100021021 (base 3) to base 16\nAnswer: 6748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 7*p - g - 20 = -4, -5*p - 28 = -12*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 11*m**2 - 11*m + 10. Let h be (30\/(-4))\/((-9)\/(-12)). Does 20 divide u(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 65 = 2*r - 2*f, -5*r + 3*f - 115 = 0. Let s be r - (0\/1 - 1). Let k be (1 - s)\/(-5) + 7. Solve t = -k*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f**2 - 45*f - 423. Determine s(-11).\nAnswer: 1161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**6\/10 + 3*a**4\/4 - a**3 + 11*a. Factor w(v).\nAnswer: -3*v*(v - 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xyyr when four letters picked without replacement from bybbyxrbcbbycrbrr.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*y**3 - 28*y**3 - 29*y**3 + (3*y**2 + 2*y**2 - 3*y**2)*(-4*y + 4*y - 2*y) to c*y + h*y**2 + f + l*y**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*s = 2*s + 6, s = 5*q + 2. Suppose -2*l + q*g - 4*g = -12, 0 = 2*l - 3*g + 2. Solve -1\/2 - 1\/4*w + 1\/2*w**l + 1\/4*w**3 = 0 for w.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 6*y**2 + 3*y - 14. Let m be g(6). Solve m - 1 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(6\/3 + -3)*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 4a17a7?\nAnswer: 4a17a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 6*j - 4. What is the smallest common multiple of 12 and z(5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 81, 165, 303, 501, 765, 1101, 1515, 2013?\n\"Answer: a**3 + 21*a**2 + 14*a + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3\/2*h**3 + 3 - 4*h**2 + 5\/2*h = 0.\nAnswer: -3, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3829395577344 less than -0.2?\nAnswer: -3829395577344.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from xwebxsn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 181 = t + 72, 4*a + 375 = 3*t. What is the remainder when 1607 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3828 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 273, 826, 1763, 3090, 4813, 6938, 9471?\n\"Answer: o**3 + 186*o**2 - 12*o + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 149*u**4\/2 + 1571*u - 1150. Find the first derivative of m(c) wrt c.\nAnswer: 894*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 11, h: 3}. What is prob of picking 3 h?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 552*y - 4460. Calculate f(8).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1530 (base 10) in base 9?\nAnswer: -2080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -5*z + z. Let h(y) = y**2 + 7*y + 12. Suppose 13 + 21 = c. Calculate the remainder when c is divided by h(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340 and 2500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 441680 = 195660. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8*(-2)\/4 + 2. Let a be s\/1*55\/75. Let l = a - 23\/5. What is the nearest to -0.4 in 0.2, l, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2197002 + -785720. Let u = p + -1411282.1070083. Let a = -0.107 - u. Round a to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32, 7, -34, -91, -164?\n\"Answer: -8*o**2 - o + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 641344126 to the power of 1\/3, to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3352123 = 254*y - 42*y - 2399437. List the prime factors of y.\nAnswer: 2, 5, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -91, -534, -1735, -4072, -7923, -13666?\n\"Answer: -63*u**3 - u**2 + u - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/6)*j\/j**(-4))**(-1\/4) assuming j is positive.\nAnswer: j**(-29\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k. Let x(m) = -m**2 + 6*m - 1. Let c be x(6). Let l = 4 - c. Calculate i(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1431311 (base 5) in base 10?\nAnswer: -30206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/1)\/(-8 + (-445880)\/(-55736)) a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find q such that -15*q**4\/8 + 29*q**3\/4 - 65*q**2\/8 + 11*q\/4 = 0.\nAnswer: 0, 2\/3, 1, 11\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8418 + 8411. Let s(j) = j**3 + 8*j**2 + 5*j - 18. What is s(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 229 and 222359?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 3*w - 11. Let r = 14 - 7. Suppose -2*h = -12 + 4. Calculate the remainder when u(r) is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*b + 0 - 1 + 95*b + 1.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7891 - -4201. Is 119 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.766886 millilitres in litres?\nAnswer: 0.000766886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 175 + -164.9. Let j = s - 15.1. What is the smallest value in j, -0.5, 1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -248 + 247.982. Put q, -1, -1\/2 in increasing order.\nAnswer: -1, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.77 - -0.7. Let s = -0.069999 - p. What is s rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -510023 (base 11) to base 13.\nAnswer: -22927b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-15))\/(1\/(-5)). Let c be ((-3)\/(-2))\/(l\/(-12 + 0)). Calculate the lowest common multiple of 19 - (c\/3 + -3) and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n + 7. Let c(f) = -7*f + 6. Let h(r) = -6*c(r) + 5*d(r). Let a be h(1). Solve -g + 1 - a = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**5\/20 + t**3\/3 - 33*t**2. Calculate g(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - g + 15 = 0, -4*m + 17 = 4*g + g. Let p be (0 + 1 + m)\/(-1). What is the first derivative of p + 4*j**2 - 3*j**2 - 3*j**2 wrt j?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18454887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v - 5*v + v)*((-4 - 2 + 2)*(2 + 0 - 3) - 57 - 16 + 9) to c + k*v and give k.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:47 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 236 = -5*u, -4*m + 242 = 5*u - 0*m. What is the second derivative of -u*h**4 + 3*h**5 + 20*h**4 - 6*h + 28*h**4 wrt h?\nAnswer: 60*h**3 + 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 9:13 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10503?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 183*197\nAnswer: 36051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from fvndvfvvfvnknqv.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*c + 15, -n = 5*c - 2*n - 33. Calculate the greatest common divisor of c and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - sqrt(2)) + 2 + -2.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2. Let m(j) be the first derivative of j**2 + 2*j - 28. Determine n(m(b)).\nAnswer: 12*b**2 + 24*b + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14932473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2865.7878*-1.\nAnswer: -2865.7878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-28)\/(-7) + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**6*z - 4*r**5 - 22*r**3*z - 2*r**2*z + 109*z wrt r?\nAnswer: 240*r**3*z - 240*r**2 - 132*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*b - n - 26, -2*n - 28 = 3*b. Let z = -2 - -15. Let m = z + b. Solve 5*s = 3*h, -s - s = -m*h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g. Let h(m) = -18*m - 3. Let o(y) = -125*y - 20. Let b(f) = 20*h(f) - 3*o(f). Give n(b(s)).\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*l - 1, 4*l = 2*c - 12. Let k(y) = 5*y**2 + y + 2. Let p be k(2). Suppose -p = 2*w - 6*w. Solve c*t - 2*x + 26 = 0, x - 28 = w*t - t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -263 - -45. Let y = -103 - g. Calculate the remainder when y is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4489\/9 - ((-48)\/54)\/4. Let f = l + -212. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/42)\/r**(-2\/19) assuming r is positive.\nAnswer: r**(65\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2997.5 + 2998. What is the closest to 2 in -33, -1\/34, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -227*f**3 + 2*f**2 + 4*f + 3. Suppose -6*n + 5 = 11. Let p be s(n). Suppose -p + 78 = -5*d. Solve 0 = 5*b + j + d, -5*b + 6*j - j = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 47*k**2 - 641*k + 1956. Give f(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 15551 = -2*v, -9*v + 5*y = -13*v + 31099. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1084*h**3 + 1025*h**3 - 300*h**3 - 377*h**3.\nAnswer: -736*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (10 - (22 + -15))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*2 - (-5 - -8 - -1). Suppose l*j + 70 = 486. What is the second derivative of j - 3*t - 3*t**3 + 22*t**3 - 208 wrt t?\nAnswer: 114*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 991804506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/8*u**4 + 3\/8*u + 0 - 9\/8*u**2 + 9\/8*u**3 = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 622\/4*(9 - 7). Let s = a + -209. Suppose -3*k = 2*k - 130. Calculate the remainder when s is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11552 divided by -38?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 0*o - 2*o + 180)*(-11*o + 2*o + 3*o).\nAnswer: 12*o**2 - 1014*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1710126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, b: 4}. Give prob of sequence bbb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*j - 120*j + 1 = 0. Let y(z) = -10*z + 5. Let a(c) = c - 1. What is j*y(o) - 6*a(o)?\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 9\/(-3) - 25. Let q = y + 34. Calculate the lowest common multiple of 12 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - m - 3*m)*(-1092 + 2239 + 963 + 2953)*(-4*m - 2 + 2).\nAnswer: 20252*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12*((-4)\/(-10))\/(12\/(-15)). Suppose -s*w + 0 = -1080. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 j when three letters picked without replacement from vfojhkk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -621*v - 83 + 277 + 202 + v**2.\nAnswer: v**2 - 621*v + 396","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47.894 - -6.684. Let b = 40 + a. Round b to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)*((x**(-1\/32)*x)\/x*x)\/x*x**(1\/31)\/(x\/(x*x*x**(-20)*x*x)))**(-1\/9) assuming x is positive.\nAnswer: x**(8597\/2976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxx when three letters picked without replacement from xgx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 290250, 580508, 870766, 1161024, 1451282?\n\"Answer: 290258*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 27 = -4*r, z + 36 = -3*z + 4*r. Let v be 6\/4*(-6)\/z. What is the least common multiple of v + 1 + (-70)\/(-5) and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -12.6, 6\/29?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8239 * 50.21\nAnswer: -413680.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25009320*n**2 + 13617618*n?\nAnswer: -50018640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, b: 1, p: 3, n: 1, k: 2, l: 3}. What is prob of picking 1 k and 1 n?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-59122)\/(-36))\/103)\/(413\/354).\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1465974 and 12420.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16037\/282 or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -773\/3554 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**4\/12 + p**3\/3 - 3*p**2\/2 - 5*p. Find h, given that i(h) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -b - 4*g, -4*b + g + 112 = -4*g. Calculate the highest common divisor of b and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - l = -7, 0 = 5*k - 3*l - 1 + 5. Is k*(9\/(-3) + 17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/9 (b) 2\/1467 (c) 0.3 (d) 5 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/(19024\/(-638))*-2*(-2)\/2?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 690 and 1184431.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgm when three letters picked without replacement from {x: 11, m: 1, g: 6}?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g - 12. Let x be r(-8). Find the second derivative of x*i**2 - 2*i**2 - 2*i + 3*i wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/5 - 112*l + 580.\nAnswer: -4*(l - 5)*(l + 145)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 5:59 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 177 - 177 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 2*y**3 + 0 + 7\/5*y**5 - 4*y**2 + 165*y + 4*y**4. Factor c(h).\nAnswer: 4*(h + 1)**2*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 230 = -g - 236, -5*f - 11 = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**3 + 11*f**2 - 42*f + 243. Let d be x(-17). What is the greatest common divisor of d and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*f**2 + 321 + 2*f**2 + 14*f**3 + 6*f**2 - 4*f**3 - f**4 - 3*f**2 wrt f.\nAnswer: -24*f + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 5, -0.4, -21 in decreasing order.\nAnswer: 5, -1\/4, -0.4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 96136007 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 169 - 43 - 65*o - 45 - 37 - 43. Let q(y) = -65*y + 2. Give 3*q(d) - 4*r(d).\nAnswer: 65*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 619574, 1239142, 1858708, 2478272, 3097834, 3717394?\n\"Answer: -r**2 + 619571*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(8)*5 + (sqrt(7) + sqrt(7) + -1)*1 + ((-2*sqrt(175) - sqrt(175) - sqrt(175))**2 - sqrt(175)).\nAnswer: -sqrt(7)\/2 + 2799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 18 = -b. Let d = b + -1. What is the third derivative of 7*p**2 - 7*p**2 + 6*p**2 + d*p**5 wrt p?\nAnswer: 480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 238, 358, 478, 598, 718?\nAnswer: 838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.08, 1, -1\/13 in increasing order.\nAnswer: -1\/13, 0.08, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101998727 - 15217273 = 44*z. Round z to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 7, -7, -35, -83, -157, -263?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4076336387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*q - 1178401 - 3768869. What is the thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (488*n + n**2 - 941*n + 467*n)*(-2*n + n - 2*n).\nAnswer: -3*n**3 - 42*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -72292, -72291, -72290, -72289, -72288?\n\"Answer: s - 72293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + sqrt(1584) + 1)**2 + 0 - (-5 + -4 + sqrt(275)).\nAnswer: 43*sqrt(11) + 6346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)*h**2\/h)\/(h\/(h\/(h*h**(-1\/2)*h))*h)**(-33) assuming h is positive.\nAnswer: h**(839\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(66)*-1)\/(sqrt(42)\/sqrt(7)*4).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 11:25 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 86*i**2 + 264*i - 7774. Determine y(88).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(8\/3)\/n)*n*n**(-6)*n**4*n*n**(-5))**(-21) assuming n is positive.\nAnswer: n**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/(-40) - (-46)\/8. Suppose 4 = v, -v - t = -3*x + 3*v. What is the lowest common multiple of 3 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-5\/3)\/r)\/((r*r**(2\/9)\/r)\/r))\/(r**0*r)**(-37))**(-8))**(-1\/9) assuming r is positive.\nAnswer: r**(2528\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/348 and -79\/232?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 29. Let r(p) = p**3 - 14*p**2 - p + 17. Let i be r(14). Suppose -35 = -2*t + i*o + l, -o = -3*t + 99. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -2\/277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c. Let q be 2\/(1 + -5 + 6). Let z(k) = 1 - 14*k + k - q. Calculate z(r(n)).\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 156 - 154. Let x(m) = -3623*m**2 + 1812*m**t + 1772*m**2. Let j(o) = 4*o. Determine j(x(z)).\nAnswer: -156*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 6*w + 17 - 29.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -29\/2, 3, -0.5 in descending order.\nAnswer: 3, -2\/11, -0.5, -29\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11038 and 0.5.\nAnswer: 5519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3111, -3063, -2985, -2877?\nAnswer: -2739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2870 is divided by 2868.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 7:39 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 57.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365198 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: Is 70619203051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1044?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/160 in -3, -0.5, -2\/83?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 + 2*d**2 + d. Give q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 12:07 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110 + -53. Let a = 58 - z. Suppose -3*x - h = -6, -x - 5*h = 2*x - 18. What is the remainder when x is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - 7*o**2)*(2*o - o - 11 - 2*o).\nAnswer: 7*o**3 + 77*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**3 - c**2 - c - 1. Let m be l(-1). Suppose 3*a - 45 = -m*a. Suppose a*t - 25 = 4*t. Solve 3*d = t*d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by -752.\nAnswer: 7\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 7:16 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-3)\/2 - -2 - (-2780907)\/(-966))*-7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**3 - 7*t**2 + 2*t + 5. Let p be (22 + (-434)\/21)*3. Let r(j) = -11*j**3 + 15*j**2 - 4*j - 11. Give p*r(u) + 9*q(u).\nAnswer: u**3 - 3*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 15*i**2 - 17601*i - 88362. Calculate w(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + 24. Let v be 104\/w - 2\/(-6). Let c = 1461 + -1459. Solve v*u + c = -1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 2*j + 16, -4*i - 759 = 5*j - 720 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.231, 0.3, 4, -0.1646?\nAnswer: -0.1646","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**4 + 20572*s**3 + 371404*s**2 + 970148*s + 619320 = 0.\nAnswer: -15, -2, -1, 5161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 455\/2*d**2 - 5\/2 + 225\/4*d.\nAnswer: 5*(7*d + 2)*(26*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.06 + -6. Let j = b + -0.16. Let d be (-1)\/2 + 1\/2. Which is smaller: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -64.0075 to 0 decimal places.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34, 50, 68, 88?\n\"Answer: x**2 + 13*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -13*13\/(-14 + 1). Let w(q) = q**3 + q**2 - 4*q. Let k(i) = -2*i**3 - 2*i**2 + 9*i. Determine m*w(u) + 6*k(u).\nAnswer: u**3 + u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -16871175 divided by 225\nAnswer: -74983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -33. Sort 1, -2, q, 5 in descending order.\nAnswer: 5, q, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 3:05 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 - 13*w**2 + 25*w + 12. Let c be g(-8). Factor 38*v**4 - 2*v**3 - 85*v**c + 45*v**4 - 8*v**2 - 8*v**3.\nAnswer: -2*v**2*(v + 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2709 divided by 1.\nAnswer: -2709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -161*q + 75. Let g be m(-21). Suppose -3*k - 2*k = -3*r - g, -k + 700 = -5*r. What are the prime factors of k?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 177205624?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/(-21)*462\/(-18)*(-108)\/594.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1377*d**2 + 4043*d**2 - 1427*d**2 - 1327*d**2.\nAnswer: -88*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-8))\/((-942)\/5652).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 937*a - 310. Let r(y) = 467*y - 153. Let v(k) = 4*d(k) - 7*r(k). Differentiate v(z) wrt z.\nAnswer: 479","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.018 + 10.018. What is the third biggest value in 4, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.14 - 5.86. Let d = g - -10. Suppose -2*w = 2*h - 4, 5*w = -h + 5 + 5. Sort d, h, 0.4 in decreasing order.\nAnswer: d, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 288 = 296 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-54 - 10 + 28)*(-15 - 6*n**2 - 9*n**2 + 13*n**2).\nAnswer: 72*n**2 + 540","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 16*v**2 - 6. Let d be h(-15). Let q = 415 + d. Suppose q = m + 3*m. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x. Let c be w(-6). Let d(y) = y**3 + 6*y**2 + 5. Let o be d(-6). Let m be 18\/o*(-1 + 36). Calculate the highest common divisor of m and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + 42*q**2 - 55 + 34*q**2 - 119*q**2 + 38*q**2.\nAnswer: -8*q**2 - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1077 by -359.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(1539)*1 - ((0 + sqrt(76))*-2)**2.\nAnswer: -304 + 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2059 from 108.7599.\nAnswer: -1950.2401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -22675246?\nAnswer: -22675240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t - 56 = -966. What is the third derivative of -18*s**2 - 29*s + 42*s**2 + t*s**4 - 10*s + 41*s wrt s?\nAnswer: 1560*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 - 3*v + 12. Let h be c(2). Suppose r - 10 = -4*j - 3, -4*r = 4*j - 4. Let i be (r\/h)\/(2\/8). Solve -i = -3*g + 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 69392, 138941, 208650, 278519?\n\"Answer: 80*m**2 + 69309*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j + 1. Let y be i(3). Let w(u) = -u**2 - 7*u - 7. Let o be w(y). Which is the smallest value? (a) o (b) -0.1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 297944?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/3 - 3) + (-574)\/(-205). Suppose 2*h**3 + c*h**2 + 0*h + 0 - 4\/5*h**4 - 2*h**5 = 0. Calculate h.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/70616 and -22\/8319787.\nAnswer: 865257848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7507 - (918\/221 + 2\/(-13))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.2 + 0.8. Let i be 30\/(-18) - 4\/(-2). Let s = 1483 + -1486. What is the closest to i in s, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8658.323 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21104960*h + 12874886 wrt h?\nAnswer: -21104960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 2*j - 20 + 9)*(-133*j**2 + 3 + 134*j**2 + 126) as y*j**2 + b*j + r + m*j**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.612 + -3.493. Let r = -473.405 - i. Let y = r + 445. Round y to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17050\/154 + (-4)\/(-14). Is 111 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 4, 206 in descending order.\nAnswer: 206, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9635 (b) -2.1 (c) -0.076\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8692 + -153?\nAnswer: -87e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6816 divided by -5.\nAnswer: -6816\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329 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: What is -1505203 rounded to the nearest 1000?\nAnswer: -1505000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(704) - (sqrt(11) + 0 + -3)) + (1 + sqrt(539))*-3)**2.\nAnswer: 15884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3, 3\/7, -4, 1128, 1\/4 in increasing order.\nAnswer: -4, -3, -0.2, 1\/4, 3\/7, 1128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 + 697*h + 14*h**3 - 768*h - 16*h**3 in the form s + a*h**3 + v*h + q*h**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4*(-104)\/(-12). Let n = h + 19. Find the third derivative of n*j**2 - j**2 - j**4 - 3*j**2 + 0*j**4 wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31851, -31577, -31303, -31029, -30755, -30481?\n\"Answer: 274*c - 32125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**3 + 207*j**2 - 1066*j - 2.\nAnswer: -18*j + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**3\/6 - 2*u**2 + 9*u. What is s(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 358.\nAnswer: 1\/358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 1367*z**6\/30 + 36*z**5 + 842*z**2. Find the third derivative of t(u) wrt u.\nAnswer: 32808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -0.4, 0.5, -1, 89?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91350 = 19*s + 23*s. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3922 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53634995 less than -2?\nAnswer: -53634997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 546768351 and 5106?\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40838\/5 or -8168?\nAnswer: -8168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*f - 83 = -51 + 52 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 36*m**2 + 4*m - 1. Let l be (1 - (-1)\/(-2))*6. Let x be h(l). Suppose -4*z - 340 = -3*v, 0*v = -3*v - z + x. Round v to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1691 is divided by 418.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 131\/340 - -1\/68. Put -2\/5, a, 6 in descending order.\nAnswer: 6, a, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0)*(r + 0*r - 3*r) + (510 - 510 - 35*r)*(3 - 1 + 0) to i + m*r and give m.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4a90 (base 11) to base 4\nAnswer: 1213221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 7:50 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 5:57 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6264\/13398 - 6\/33. Factor -l*i**3 - 6\/7*i**2 + 0 + 0*i.\nAnswer: -2*i**2*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*d - 388 + 36, j + 349 = d. Let m = 356 + j. Let f(a) = 2*a - 9. Determine f(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (0 - 42) + (-7 - (9 - 14)) + -4\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1311231211 + 2?\nAnswer: 1311231213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o**2 + 5*o - 23. Let r(b) = -b + 4. Let t(z) = -d(z) - 5*r(z). Let l = -218 - -224. Let a(j) = -j**2 - 1. Give l*a(s) + t(s).\nAnswer: s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -733 times -0.4\nAnswer: 293.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 5544?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32314 and 171838.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 79, -12, -203, -530?\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222799175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 55*a**2 - 162*a - 748. What is w(-52)?\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400\/(-88) - -4 - -7*3030\/47355.\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -12940*h + 6935. Let x(s) = 6470*s - 3464. Let q(p) = -6*u(p) - 11*x(p). What is the derivative of q(y) wrt y?\nAnswer: 6470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/9))\/m)\/(m\/m**(2\/25))*m\/m**(-1)*m*(m\/m**(-1\/11))\/m assuming m is positive.\nAnswer: m**(4823\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 + 710*c**2 - 33011*c + 3294. What is y(300)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25781, -57136, -88491, -119846, -151201?\n\"Answer: -31355*l + 5574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 5*m**2 + 29*m + 28*m - 61*m)*(-3 + 7 + 2) in the form u*m**2 + a*m + c and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4, -3*y - 44 = -5*m + 8. Calculate the highest common factor of m and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 863*a**2 - 582*a**2 - 731*a**2.\nAnswer: -450*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 748.0462g in tonnes?\nAnswer: 0.0007480462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 0\/5)\/(-1). Let y be (11 - 10)*l*-4. Let f be 19\/y + 3 + -2. Which is greater: f or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q - 6*q - 13*q**2 + q + 5*q - 18*q**6 + 166*q**6 wrt q.\nAnswer: 17760*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 926484 and 104?\nAnswer: 1852968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253767243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3 (b) -2\/9 (c) 0 (d) 35311.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 5*y**2 + 6*y. Let f be u(6). Suppose f = -3*k + 6*k - 36. Solve -i = -3*c - 5*i + 9, 3*i = 4*c - k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 895 + (-18)\/(-6)*8\/(-6). Suppose 33 = 3*o - l. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33176 divided by 4147.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729232575.\nAnswer: 5, 7, 23, 61, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100011001100010000 + 1000?\nAnswer: 10001100011001100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*u - 18 = 0, -m - 4 = 3*u - 4*u. Let j be m\/2*(7 - 9). Let n = j + 0. Solve 4 = 3*b + n*g + 20, 2*b + 2*g + 4 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/522 and 11\/203.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/3*g**2 - 2\/15*g**3 + 0*g.\nAnswer: -2*g**2*(g + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 11:49 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**2 + 16. Let p(q) = 8*q + 2. Let r(c) = -9*c - 3. Let n(i) = -3*p(i) - 2*r(i). Give 5*n(m) - 16*z(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 896?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 10*s**2 - 10*s - 8. Let x be n(-9). Which is the nearest to 0.1? (a) x (b) 1\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9*9\/27 - 56\/4. Let g(l) be the third derivative of -l**4\/8 + 7*l**3\/3 - l**2. What are the prime factors of g(z)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 2*p**2 + 2*p - 9. What is the remainder when 178 is divided by d(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 30144456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 27 = -3*v. Suppose v = -j + 2. Let l(k) = -2*k**3 + k**2 - k - 3. Calculate the remainder when l(j) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18\/97 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23071891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5998\/7 - 5994\/7. Which is the third smallest value? (a) -1\/12 (b) -0.1 (c) -4 (d) q (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*245 - -1 - (6 - 2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4338*f**2 + 1065*f**2 - 1894*f + 92 + 1894*f.\nAnswer: -3273*f**2 + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 38. Differentiate p*s - 1 - 4 - 5 with respect to s.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -16\/1051?\nAnswer: -16\/1051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 36\/(-10) + 3. Let b = 4.96 - -0.04. What is the third smallest value in -2\/5, q, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -r - 3*r. Let o be (-6)\/51 - 20*7\/(-34). Solve r*d - 4*d = o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k + 3. Let y be (6\/(-4))\/(18\/24). Let r be (6\/4)\/(1\/y). Let f be x(r). Calculate the highest common factor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-63)\/13 + 5\/1. Which is the second biggest value? (a) y (b) 1 (c) -0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 4:34 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 34. Is o at most as big as -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4 - 2917*q**3 - 157709*q**2 - 855983*q - 701190 = 0. What is q?\nAnswer: -2862, -49, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eddeeeeeedee. What is prob of sequence deed?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/2799093 and 27\/61688?\nAnswer: 22392744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 38.2395?\nAnswer: 35.2395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38325 and 5621?\nAnswer: 421575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10705 + 8210733\/767. Let t = y + -5363\/2301. Is -1 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*f + 3. Which is the third biggest value? (a) f (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2464\/261197 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - ((-6 - -11) + -6). Suppose 2*f - 59*u = -64*u + 15, g = -2*u + 6. Factor 0*s + f + 4\/5*s**2 + 2\/5*s**3.\nAnswer: 2*s**2*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76557 (base 8) to base 3.\nAnswer: -1122001022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, i: 5, j: 1, r: 4, m: 2}. What is prob of picking 2 r and 1 i?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/(sqrt(24)\/sqrt(3)) + sqrt(3))*-6)**2 + 2 + (sqrt(12)\/sqrt(4)*6)**2.\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, i: 4, w: 5, s: 10}. What is prob of sequence ssw?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eemmtl. What is prob of sequence elm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 1062525?\nAnswer: 1062522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 35 + 316. Suppose 0 = 4*v - 251 + p. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 211, 331, 469, 631, 823?\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14\/35 - (-45261972)\/645?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5\/2)\/(d**(1\/9)*d)*d**(-1\/6)*d*d**(-6\/5) assuming d is positive.\nAnswer: d**(-179\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 441, 892, 1333, 1758, 2161, 2536, 2877, 3178?\n\"Answer: -a**3 + a**2 + 455*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-3) + 4 + 1 + 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 276*j - 8821. Let c be b(32). What is the greatest common divisor of 8921 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 28\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-155)\/465 - ((-10)\/6 + 2616\/(-36))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(81) + (sqrt(81) - (sqrt(81) - 1*sqrt(81))))\/sqrt(9) - sqrt(9)*2*5)\/(-1*sqrt(48)*-6).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*v = 1127100 + 202116. Is 24 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n**5 - 171*n**4 + 1044*n**3 - 996*n**2 - 576*n = 0. What is n?\nAnswer: -16, -2\/5, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000787 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 + 56*p**4 - 25*p**4 + (4 + 0 - 5)*(p**3 - p**3 - 2*p**4).\nAnswer: 33*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*k - k + 4*k)*(4*k + k - 2*k) + 17*k**2 + k**2 + 28*k**2 in the form v + n*k**2 + u*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 smaller than 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 467*0.257.\nAnswer: 120.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11 + 0*y - 3*y + 4*y. Let o be t(-7). Let h(s) = -69*s - 67*s - 4 + 195*s + 2 - 62*s. Calculate h(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1513 (b) -4\/7 (c) -730\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 14*u + 8. Suppose 2*y - 19 = 4*q - 15, 0 = -2*y + q + 13. Let v(w) = -5*w - 7 + 2 + 2. What is y*v(d) + 3*j(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1701 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.144 - -0.344. Let z = 89\/5 + -1523\/85. Sort a, z, 0.4.\nAnswer: z, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 18. Which is the third biggest value? (a) 2\/3 (b) o (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) 3\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5904922 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 4*s + 2. Let b be i(-4). Let n be 3\/20*-104 + 16. What is the nearest to 3 in 0.3, n, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - r + 32. What is the remainder when f(0) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4977\/(-474)*4\/(-6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*9\/(-9)*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/85)\/n)\/n**(-17) assuming n is positive.\nAnswer: n**(1362\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.191 + 0.13. Let d = 2987.539 + -2988. Let x = d - l. Is x equal to 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 287621023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -58, -202, -456, -850, -1414, -2178, -3172?\nAnswer: -4426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10424060 by -48484.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3)*(-444)\/74. Suppose -5*n - j + 29 = -11, 5*n - 40 = c*j. Solve 7*o = n*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 l when three letters picked without replacement from cllcllc?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3713*j + 30 = -3703*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -180840068*b**3 + 4*b + 1972412?\nAnswer: -1085040408*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/(-5))\/((-76)\/(-160)) and (-91)\/21 + 1120\/(-210).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**2 + 3*q + q**2 - q**3 + 2 + 0. What is l(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27631*w + 222528 = -25679*w for w.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -15. Sort -2, 5, g in increasing order.\nAnswer: g, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**2 - 56*t**4 + 4*t**2 - 15 - 8*t**4 - t**2 - 3 wrt t?\nAnswer: -1536*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 407*j**5\/60 + 7*j**4\/24 + 49*j**3\/6 - 2*j**2 + 61. Is m(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 2, m: 1, o: 2, a: 1, c: 2}. Give prob of sequence ma.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 20 (b) -2\/9 (c) 1\/7 (d) 1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 16 - 19 = 0. Let b(f) = f**2 + 2*f - 11. What is the least common multiple of b(-5) and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11 (b) 1\/2 (c) -4\/55 (d) 0.4 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 g when three letters picked without replacement from prufgmgp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/18 and (194\/(-16))\/((-60)\/(-16)) - -3?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(2057) + -1)*5*-5 - (-2 + sqrt(2057)*-1*4))**2 + 3.\nAnswer: -4539327 + 62370*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5311608, -10623216, -15934824, -21246432?\n\"Answer: -5311608*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 + 53*l - 52*l - 60*l**2 - 39*l**2.\nAnswer: -93*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -358 + 364 + 9*m - m. Let a be f(-4). Let g = 33 + a. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5090?\nAnswer: 2, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 10*t**3 - 16*t**2 - 3*t. Let g(s) = -s**3 + 12*s**2 + 3*s - 41. Let v be g(12). Let q(z) = -7*z**3 + 11*z**2 + 2*z. Calculate v*p(m) - 7*q(m).\nAnswer: -m**3 + 3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 26, 2, -1, -671, -3 in decreasing order.\nAnswer: 26, 2, 0, -1, -3, -671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 37\/(8325\/36)*4*(-4)\/(-32). Factor -24\/25*d - 26\/25 + h*d**2.\nAnswer: 2*(d - 13)*(d + 1)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 7*j**2 + 5*j. Let l = 50 + -44. Calculate k(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*k - 17 - 163 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-1)*(-5)\/(-3). Suppose -5*w + 405 = 45. Suppose -123*p + 99*p = -w. Solve -3*g + g - 12 = -v*x, -p*x = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(21)\/sqrt(3)*-6 + -1*(sqrt(7) - -5*sqrt(7)).\nAnswer: -12*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2347 is divided by 584.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 62, -122, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1607350 = 13478*v + 5432*v for v.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 172*g**2 + 109*g - 99. What are the prime factors of h(10)?\nAnswer: 18191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**1)\/v)**(-1\/9))**5*v**(-2\/7)\/v*v*v*v*v*v*v**(-3\/7)\/v*v*(v**1)**(-41) assuming v is positive.\nAnswer: v**(-2411\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)*x)**38*(x*x*x*x**(-1\/2)*x*x)**3 assuming x is positive.\nAnswer: x**(-201\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0060763 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 473346 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -74, -95, -116?\n\"Answer: -21*l - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 25 = -3*d - 53, -66 = 3*d + 3*t. Let i be d\/(-14) - 6\/(-21). Suppose -a + 9 = 5*n + a, -i*a = 6. Solve 0 = n*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*c - 16, -z + 3*c = 2*c - 6. Suppose 7*l = z*l. Factor 0*b**2 + l + 0*b - 2\/5*b**3.\nAnswer: -2*b**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 674\/1477 + -36\/211. Factor -i*n**4 - 4\/7*n**3 + 0*n + 0 - 2\/7*n**2.\nAnswer: -2*n**2*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 8. Let b = i - -17. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9218.8452 to the nearest 100.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -876909408 or -876909406?\nAnswer: -876909406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (-1 + -1) - -1. Suppose -89 = -u*z - 4. Calculate the remainder when 32 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or 3012981?\nAnswer: 3012981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5555863*c**3*i**3 + 119525*c*i**3 + c - 2*i**3 - 15*i - 1 wrt c.\nAnswer: -33335178*c*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a century in decades?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-395)\/(-10) + 2. Let s = 83 + k. Suppose s*b - 1173 = -147. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 9. Which is bigger: t or -1\/327?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) -5 (c) -1 (d) -8\/837 (e) -0.04 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-364)\/(-39) - 10)*(-6)\/20.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211406, -211405, -211404, -211403, -211402?\nAnswer: -211401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10853, -13779, -16703, -19625, -22545, -25463, -28379?\nAnswer: -31293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81570, -81581, -81590, -81597, -81602, -81605, -81606?\nAnswer: -81605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 12. Suppose -3*b + 2*y + 48 = -20, -4*y - 114 = -k*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4043132 - 40?\nAnswer: 4043042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3084 - -3085. Let p = -356\/25 + 14. Is h != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089293719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -1\/3, 1, 2, 3420.359 in descending order.\nAnswer: 3420.359, 29, 2, 1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**5\/60 - o**4\/2 - 2*o**3 - 21*o**2. Let r be z(-17). Let w = -777\/8 - r. Which is the nearest to 1? (a) 3 (b) w (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7523646 days to nanoseconds.\nAnswer: 65004301440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2400 + 14363\/6. Let j = -11\/2 - n. Find k, given that -1\/3*k**3 - j - k**2 + 5\/3*k + 1\/3*k**4 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, -27, -91, -215, -417, -715, -1127, -1671?\n\"Answer: -3*z**3 - 3*z**2 + 8*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 10 = -4*n + z, -4*z + 20 = 0. Let v = 9 - 8.9. Let o = 1 + 2. Put v, o, n in ascending order.\nAnswer: v, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z - 16182 - 15945 + 5653 = 0. Are z and 853 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/27 and 20\/617247.\nAnswer: 617247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 2091 in descending order.\nAnswer: 2091, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*i + 92\/3*i**2 + 4\/3 = 0.\nAnswer: 1\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2081462 or -1\/2?\nAnswer: -2081462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23 - 2*i + 8 + 28 + 34*i**2 + 103 - i wrt i.\nAnswer: 68*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016827691 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -232 + 272. What is the remainder when a is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58430876 a multiple of 3353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/27073 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 443 + -1123?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -501453702*p - 651603789 wrt p.\nAnswer: -501453702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, m: 2}. What is prob of sequence fmfm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2156, 2163, 2186, 2231, 2304, 2411, 2558?\nAnswer: 2751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1683090 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 278698236725918.1299726 + -278698264353311. Let l = x - -27627396. Let n = l - 3.13. Round n to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*1\/(-3))\/((-1)\/(-153)). Suppose 109 = -8*f - o. Let h be (2\/4)\/(3\/f)*1770. Round h to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1536 = -146544*l + 146512*l for l.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44 or -409\/9?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*n - 84*n - 22 = 3*w, 5*w = -4*n - 12. Solve 5*g + 0 = -3*d - 1, n = -d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4*z - 9, -3*z + 8*z + 24 = 3*j. Suppose -2*m = -5*d - 3 - 42, -j*d - 65 = -5*m. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2 - 3*l - 1. Let t be y(-1). Solve -8*d + t*d = -10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7377707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43*v**4 + v**3*w + 2*v**2*w + 1052*w wrt v?\nAnswer: 172*v**3 + 3*v**2*w + 4*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*f + f - 138485 + 686141. List the prime factors of f.\nAnswer: 2, 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24.528 - 25.11608. Round f to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*((-188)\/6 + 3). Let j = -8 - u. Calculate the remainder when j is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/587? (a) -22\/5 (b) -0.3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**2 + 3034*m + 469700 = 0.\nAnswer: -1342, -175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23355 - -23355. Solve k = 50*o - 43*o - 56 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/28 and -15\/7052?\nAnswer: 49364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-390) + (2 - (-84)\/(-45))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -15*c**4 + 5*c + 3*c**4 - c + 12*c**2 - 8*c**3. Let o(g) = 13*g**4 + 7*g**3 - 13*g**2 - 4*g. Let f(t) = 4*o(t) + 3*p(t). Factor f(d).\nAnswer: 4*d*(d - 1)*(d + 1)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(-2*m**3 - 4*m**3 + 0*m**3 + (2*m**2 + 2 - 2)*(3 + m - 3) + 0*m**3 + m**3 - 2*m**3).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 3:52 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7837297307218 - 3.\nAnswer: 7837297307215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -87*x. Let n(o) = -10*o**2 + 6033*o + 1. What is i(n(k))?\nAnswer: 870*k**2 - 524871*k - 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l - 24. Let f be 4\/20 + 0 + 462\/(-10). Let x = f - -32. Is 8 a factor of u(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 2*y - 1. Let b be v(2). Let n be 3 + b + (-1)\/1. Let u = -14369\/16 - -898. Is n greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*q = 58*q - 40*q - 51254. What is the remainder when 1055 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(243)*1.\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23330 (base 4) in base 12?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*g - 10, -8 = -4*q - g. Let h(r) = 3*r**2 + 12*r**2 - q*r**2 - r**2. Let a(l) = l**2 + 4*l**2 - 3*l**2. Give h(a(z)).\nAnswer: 44*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2*u = -10, -2*u = -5*q - 0*u - 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-8))\/((-4237)\/2). Let f = -1228727\/25422 + a. Let d = 48 + f. What is the closest to -2\/3 in -2\/11, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4141 and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 3 + 31. Suppose -2*v + u*v = 0. Let k = v + 5. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 6:37 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 896148 and 678156.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -46, -203, -466, -835?\n\"Answer: -53*p**2 + 2*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 2*a. Let w(o) = o**3 + 13*o**2 - 9*o - 3. Let b be w(-13). Suppose r = 5*r + 5*x + 98, -2*x - b = 5*r. Let c = 20 + r. What is g(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -11*m**3 - m**2 + 1. Suppose 3*q = -4*x + 8, 3*x = 4*x - q + 5. Give r(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 + 7*m - 7. Let q(k) = k - 1. Let l(s) = -42*q(s) + 6*v(s). Let i(n) = 2*n. Calculate l(i(z)).\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 462183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 = -2*z + 5*c + 48, 369 = -3*z + 5*c. Suppose -2*x = a + 67, -a + 2*x - 5*x = 64. Let w = a - z. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15773 (base 8) to base 6.\nAnswer: 53055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 23053865 to the nearest 100000.\nAnswer: 23100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f**2 + 4*f - 3. Let b(p) = 3*p**3 + 14*p**2 - 4*p + 7. Let n be b(-5). Determine l(n).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -25*r**2 - 42. Let w(y) = -31*y**2. Determine g(w(q)).\nAnswer: -24025*q**4 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k - 47*k**4 - 36*k**2 - 4*k + 70*k**4 - 148*k**3 + 151*k**3 as z + i*k + m*k**4 + j*k**3 + c*k**2 and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**2 + 3375*a - 6738 = 0. Calculate a.\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**5\/20 - 5*m**4\/2 + 5*m**3 - 10*m**2 - 3*m + 4. Let i be f(29). What is the greatest common divisor of 81 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m - 2*c - 22, -5*c + 22 = m. Let a(h) = -h - 2. Let f(k) = -k**2 + 24*k + 60. Let g be f(27). Let x be a(g). Is m < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 32. Which is smaller: n or 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 370563 (base 12) to base 6\nAnswer: 31043403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-14))\/(4\/(-6)). Let g = 0.879 + -0.423. Let h = -5.456 + g. What is the third biggest value in -2, h, 5, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/8865252 and 67\/12078?\nAnswer: 8865252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57\/5 of a century?\nAnswer: 13680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3132374920 to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 66.97? (a) -3\/7 (b) 13 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/100)\/12 - (-90440)\/(-2375)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -90313 + 1091*s + 90313 in the form d*s + l and give d.\nAnswer: 1091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u**2 - u - 1. Let d(c) = -7*c**2 + 5*c. Let h(w) = 6*w**2 - 4*w. Let f(q) = 5*d(q) + 6*h(q). Give -3*f(r) - x(r).\nAnswer: 3*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1497*n**5 - 496*n - 7.\nAnswer: 29940*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from bhhhhhhhhhhhhhhhhhhh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**3 - 4*p**2*u**2 + 1002*p**2 + 2600*p*u**2 - 2*p wrt p?\nAnswer: -6*p - 8*u**2 + 2004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 4*h**2 + 2*h - 11. Calculate a(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*k = 40, 5*r - 2*k - k - 52 = 0. Suppose -3*z + 0*z + 2*o = -160, -10 = 2*o. Let c = 55 - z. What is the remainder when r is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 85, 222, 451, 796, 1281, 1930, 2767?\n\"Answer: 4*y**3 + 22*y**2 + 43*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 0.5. Let o = p + -17. Let f = 1.49999985 + o. Round f to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (3 + -4)) + 0. Let c be (-5)\/l + 0 + 3. Put c, 2\/3, 3\/8 in descending order.\nAnswer: 2\/3, c, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368 = -36*g + 443 + 1941. Calculate the least common multiple of 85 and g.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1273792367561\/1585 + 803654520. Let i = r - 8\/317. Factor 343\/5 + 21\/5*s**2 + 1\/5*s**3 + i*s.\nAnswer: (s + 7)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1\/(-1))*4\/14\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75\/2 - -40. Let t = -2.9 - -3. What is the nearest to 1\/2 in -4, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1436 - 699. Let j = z - 463. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5411\/23190)\/((-42)\/15)*8\/(-14).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 444914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1.9. Let d = -586 - -401. Let o = -2407\/13 - d. Which is the nearest to m? (a) o (b) -5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.473 - -9.527. Is k > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1570)\/1256)\/(4\/160*(9\/(-6))\/(-3))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 0.5, 3, 0.03, 1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + 3*p + (-5 + 1 + 3)*(0*p + 0*p + 2*p))*(3 - p - 3).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.9 - 29. Let w = 5 + -3. Which is the nearest to r? (a) w (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11424 divided by -204\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 0*l - 2*l + (-1 + 1 + 2*l)*(-4 + 2 + 1)*(10 + 6 - 3).\nAnswer: -27*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(1\/15))*d**(1\/4))\/(d**7*d*d**(-1)) assuming d is positive.\nAnswer: d**(-409\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9148.0284 and -20.03.\nAnswer: 9127.9984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 298*u - 52060. Determine k(175).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/2*(-6)\/(-78)*5 and -39\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120887 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**4 + 0 + 0*s**3 + 0*s**5 - s + 0*s**6 + 11\/42*s**7 + 0*s**2. Find the third derivative of b(f) wrt f.\nAnswer: 660*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-4)*(-49)\/441*(-4)\/(16\/3).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = 2. Suppose -20 = -d + r. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2232 + 2271. Calculate the highest common divisor of 1703 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 1. Let x(n) = 4*n**3 + 23*n**2 + n - 4. Suppose -22*g + 30 - 8 = 0. Give g*x(c) - 2*h(c).\nAnswer: 2*c**3 + 23*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4531076 divided by 2265538?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 825*o**2*r**2 - 449*o**2*r + o**2 - 2*o*r wrt r?\nAnswer: 1650*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywuy when four letters picked without replacement from hyywrhuyyy?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/((b*b*b*b**(-1\/45))\/b*b)*b**(4\/13))\/(((b**(-18)*b)\/b)\/(b**6*b)) assuming b is positive.\nAnswer: b**(14818\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.27 + -76.73. Let s = x - -30. Let l = 47.99941 + s. Round l to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - k - 3*f = 0, f - 3*f + 3 = 2*k - 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -12*b - 228. Let u be s(-19). Suppose 13*j + 4*j - 731 = u. What is the remainder when j is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 11*b - 2. Suppose -64 = -17*n - 15*n. Let u(z) = -5*z**2 - 45*z - 9. What is n*u(f) - 9*d(f)?\nAnswer: -f**2 + 9*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m. Let q(n) = 2*n**2 + 3930121. Give k(q(s)).\nAnswer: -4*s**2 - 7860242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w - 9 = -23*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 367161033 - 3?\nAnswer: 367161030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2516, -7778, -22054, -49850, -95672?\n\"Answer: -751*c**3 - c**2 - 2*c - 1762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -72.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 4*d + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 279 + -189. Let h be (-36)\/q*(-15)\/8. Suppose 2*l - 10 = -3*y, -3*l = -0*l + y - 8. Sort l, -2, h in decreasing order.\nAnswer: l, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.33 + 0.17. Sort 3, y, -1.2 in descending order.\nAnswer: 3, y, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125 + 123. Calculate the greatest common divisor of 31 and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*b**4\/21 + 206*b**3\/21 + 66*b**2 + 406*b\/3 - 196\/3.\nAnswer: 2*(b + 7)**3*(5*b - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/3)\/(3\/27). Let v be (-10)\/(-15) - 2\/y. Suppose -5*l - 3*c + 7 = v, 6*l - 5*c = l + 15. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 25. Let q = -16 - z. Find t such that 6*t**q + 18*t**2 + 7*t**4 - 4*t**4 + 12*t + 15*t**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11966393 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26271121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 973\/208 = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + q)*(2*q + 5*q + q) - 2*q + 2*q + q**2 + 5*q**2 + q**2 - 4*q**2.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200037, -400119, -600199, -800277, -1000353, -1200427?\nAnswer: -1400499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - c**2 + 1. Let t(v) = 8*v**3 + 9*v**2 + 2. Let k(y) = -2*b(y) + t(y). Find the third derivative of k(m) wrt m.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1286133 is divided by 755?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f**(-2\/13)*f*f)\/f))\/(f**(-2\/23)*f)*f**5*f*f*f\/(f*f*f**(-5)*f)*f*f)\/(((f**2\/f)\/f)**28*(f**1)**23) assuming f is positive.\nAnswer: f**(-3815\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 (base 11) in base 8?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7239 - 3*l**2 - 5549 - 1690 + 5*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*b - 734, 1573*b = 5*j + 1571*b - 892. What is the greatest common factor of 1808 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6669 or 5014?\nAnswer: 6669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10\/3, -10, 150, 3, -5\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -409d1 (base 14) in base 6?\nAnswer: -3200231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 2:42 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*o**3 - o**2 - 5*o + 11*o - 6*o.\nAnswer: -320*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, 279, 1, 11, -5 in descending order.\nAnswer: 279, 11, 4, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*n - 115, -124 = 4*v + 5*n - 3*n. Which is smaller: v or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4453899 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or 1178\/172839?\nAnswer: 1178\/172839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 5, -4, 3, -24, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*k = 166*k - 1373*k - 35*k - 167157 for k.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + (-16 - (-22 + 28)) + -12.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15027503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21644151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430*x - 426*x + 126 + 435 = -845*x for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*s + 34, s + 5*k + 44 = 4*s. Let t = s + -8. Suppose -t*c + 94 + 56 = 0. What is the remainder when c is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3171407 to 4 decimal places.\nAnswer: 0.3171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -129\/1515800 and 51\/22000.\nAnswer: 15158000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0*y - 6 = -y, y + 10 = 3*g. Does 15 divide 45\/g*(9 + -1 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -38.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530 + 2150 = 2*i - 5*b, -3*b - 3254 = -4*i. What is i rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olla when four letters picked without replacement from {a: 5, o: 1, l: 5}?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -0.198616388902?\nAnswer: 4.801383611098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7337402 or -7337399?\nAnswer: -7337402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1028, -1, 5, -4, -3, 4 in increasing order.\nAnswer: -4, -3, -2, -1, 4, 5, 1028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**6\/120 + c**5\/20 - 2*c**3\/3 + 2. Let s(n) be the third derivative of v(n). Factor s(p).\nAnswer: 3*p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o. Let l(h) be the third derivative of 5*h**4\/12 - 13*h**2. Determine -12*c(v) - 5*l(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 562709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7559, 7692, 7929, 8282, 8763, 9384, 10157, 11094?\nAnswer: 12207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/209, 13\/4, 0.5, -2, -234?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4)\/a)\/a)**(-34\/3)\/((a**(-2\/7)\/a)\/a*a\/((a*a**10)\/a*a*a)) assuming a is positive.\nAnswer: a**(543\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/30 and 41\/190.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 418 - 269. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 - (2 + -1)) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41502 (base 8) to base 12.\nAnswer: 9b6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 9*c - 5. Let d be q(-7). Suppose 0 = 2*x + 5*u - d, u + 6 + 0 = 2*x. Solve x*l + 0*l + 20 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 4, 157362 in decreasing order.\nAnswer: 157362, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14276567?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (0 + -4) - -2) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.60645467 rounded to three dps?\nAnswer: -1.606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 - 167 - 5)*(4*p**4 - 8*p**3 + 8*p**3) - p**4 + 3*p**4 - 3*p**4 + (3 + p - 3)*(-p**3 - 2*p**3 + 2*p**3).\nAnswer: -914*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3330 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*u - 4 = 0, -4*a + 0*u = 3*u - 1. Suppose 52 = 4*d - j - j, 2*j = -2*d + 14. Let y = a + d. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 6)*(-5 - 7 - v + 2*v) - 95 + 17*v + 95 to the form a + t*v and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.9 minus 552.131?\nAnswer: -451.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4970 + -878?\nAnswer: -51e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from appaappppppappap.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 29*p**2 - 7*p - 31. Is b(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3201.671 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 9*l + 3. Let x(f) = 20*f + 139. Let a be x(-7). Let b(o) = 2. Let m(w) = a*b(w) + c(w). Calculate m(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -358, -532, -706, -880, -1054?\nAnswer: -1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j. Suppose 2 = t + 3. Let m(k) = 3. Let o(x) be the second derivative of -x**3\/6 + x**2\/2 + 21*x. Let v(d) = t*m(d) + 3*o(d). Calculate v(z(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nr when two letters picked without replacement from {r: 2, n: 2, b: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2 = 14. Let l = 5027\/84 - 239\/4. Which is the third smallest value? (a) -0.2 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 3*c - 105. Give m(-15).\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2467 is divided by 95.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*d + 8 + 8, -4*z - 2*d = 22. Let g be (-83)\/z*25\/2. Let a = g + -913\/4. Calculate the common denominator of -89\/2 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 112, 166, 220, 274, 328?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, -104, -22, 60?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**6\/420 - 3*b**5\/35 + 3*b**4\/4 - 150*b**2. Factor y(w).\nAnswer: -2*w*(w - 3)*(w + 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or -185?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2074 - 1365. List the prime factors of p.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 460 = -5*s, 0 = 2*o - 0*s - 5*s - 156. Let f be 192\/o + (-4)\/22. Find the third derivative of h**3 - 3*h**f - 28*h + h**3 + 28*h wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 8 = h, 2*h + h = -k + 11. Let b(g) = 2*g + 2. Let x be b(k). Solve x = -2*q - q - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s**2 + 13*s**2 - 26*s**2 + 34*s**2. Let o(x) = -2*x**2. Give o(z(t)).\nAnswer: -1682*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58893 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 3*l - 0*l + 5*k, -5*l = -3*k + 54. Let w be 14 + l + (0 - 167). Is -1 - w - (4 + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beqwqqbsbqqwqbqb. Give prob of sequence qwe.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 d, and 1 k when four letters picked without replacement from cmdkccckcddcccmcmd.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16, 0, 42, 122, 252, 444, 710?\n\"Answer: 2*l**3 + l**2 - l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1057*l**5 + 87 + 43*l - 324*l - 89 - 79*l**5 wrt l?\nAnswer: 19560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108987 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003579564 to 4 decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -56*(32\/(-304) - 48\/266).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + (-981)\/(-63))\/(21\/147).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1083 is divided by 49?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 9:39 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.8 take away 1602.9?\nAnswer: -1619.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 526 divide 8919382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 12. Let x be (-6)\/270*9 + 24\/u. Which is the closest to 0.82? (a) -4\/5 (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 + 5*p**4 - 3*p**4)*(-4*p + p + p - 4*p + 4*p + 2*p + 1 - 1 + p + (2 + 5 - 5)*(6*p - 3*p - 2*p) - 3*p - p + 5*p - 2*p + 0 + 0).\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - r - r + 267331729 = 0, -4*n - 213865388 = -4*r. Let w = n - -34106345. Round w to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -63 + 195 - 58 - 44 + 3*l in the form f*l + h and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10b (base 12) to base 13\nAnswer: -bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5 - 7*r**4 + 19*r**3 - 25*r**2 + 16*r - 4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 513024 and 44?\nAnswer: 5643264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 738 - 748. Let c(g) = g**3 + 10*g**2 + 2*g + 1. Calculate c(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4375 and -1.\nAnswer: 4375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -31034*t - 4065462. What is u(-131)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -199, -421, -725, -1111, -1579?\nAnswer: -2129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*j**2 - 13*j - 2 + 4 + 25*j**2 as u*j**2 + i*j + p and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*n**2 - 20 + 20)*(0*n + n + 0*n)*(4*n + n - 3*n).\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 478.3172 grams?\nAnswer: 478317.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (229*z**2 + 21*z + 453*z**2 - 21*z)*(2 + z - 2) in the form r*z**3 + h + n*z + u*z**2 and give r.\nAnswer: 682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1317746 + 0?\nAnswer: 1317746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 43848 = 3*t, -4*j + t = -64358 + 5897. List the prime factors of j.\nAnswer: 5, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 + 4. Let i(d) = -6*d**2 - 8. Let a(o) = 13*h(o) + 6*i(o). Let r(z) = 3*z**2 + 3. Determine -3*a(c) + 4*r(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-4) - (-2)\/8. Let h(k) = -k + 25. Let i be h(9). Suppose -3*n - 2*v = 1, -4*v = -2*n - 2*v + i. Solve -n*q = -0*q + x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in months?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39302, -78604, -117906?\nAnswer: -157208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27, 130, 315, 594, 979, 1482, 2115?\n\"Answer: 2*h**3 + 29*h**2 + 2*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 12, p: 5, v: 2}.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/106176 and -7\/11990304.\nAnswer: 167864256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11015 - -12567. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/5 - -11\/20. Let b = -259.9 + 260. What is the nearest to 0.2 in a, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f + 4. Calculate u(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {l: 4, s: 4, t: 1, u: 4, p: 1, m: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 5. Solve -1 = o - f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 116 - 116. Which is bigger: h or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.35995475 - 1.36. What is x rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2. Let t(a) = -291*a + 153*a + 147*a. Determine x(t(h)).\nAnswer: -81*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 247\/374 + -30\/187. Factor 1\/3*g**3 - 1\/6*g**2 + 0*g + h*g**4 + 0.\nAnswer: g**2*(g + 1)*(3*g - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -10. Let j(l) be the second derivative of 0*l**2 + 0 + 0*l**q - 1\/6*l**4 - l. Let b(p) = 2*p**2. What is b(j(m))?\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20166a7 - 2?\nAnswer: -20166a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**4 - m**4 - 2*m**4)*(3*m + 2*m - 6*m) + (-5 + 1 - 10)*(-20*m**5 + 5*m**4 - 5*m**4) + (30 + 12*m**2 - 30)*(m**3 - 4*m + 4*m).\nAnswer: 290*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4766 and 22?\nAnswer: 52426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35846876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 41*z**2 + 191*z + 19. Calculate the remainder when h(-8) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u**3 - 368*u**2 - 2079*u + 324. What is k(-55)?\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**4\/12 + z**3\/6 - 5*z**2 + 17*z. Suppose w = -2*w. What is d(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1466, -1\/3, 2, -0.4, -3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 o when four letters picked without replacement from {e: 10, o: 9, q: 1}.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164657 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 - 163*l + 215. Let j be r(53). Solve j*y - 19 = -25 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22147 - 12858. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -657598 (base 11) to base 9\nAnswer: -1868625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -13*l**2. Let g(y) = -14*y**2 - 5. Calculate g(w(d)).\nAnswer: -2366*d**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/14)\/(p*p\/((p**(-1\/9)*p)\/p))*p**33\/p*p**(-4\/7))**(-8) assuming p is positive.\nAnswer: p**(-14884\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*m + 20 + 8*m - 15*m - 21.\nAnswer: 40*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 + -47. Let p = -49 + n. Let c = 0.6 - 2.6. What is the closest to c in -2, p, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(264) - sqrt(264))*-5 + sqrt(264) - (sqrt(264) - (3*sqrt(264) - sqrt(264))*-4))\/(1*(sqrt(96) - (sqrt(96)*3 - sqrt(96)))) + -5)**2.\nAnswer: 10*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 4*b = 0. Let x(f) = -2*f**2 - 2*f + 5. Let l be x(b). Let r be l + -6 + 15003 + -2. What is r rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/6 and 867\/(-90) + (-4)\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -296, -578, -876, -1196, -1544, -1926, -2348?\nAnswer: -2816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/22 and -17\/29966.\nAnswer: 329626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -2.3. Let x = -0.05 - -0.45. Let r = 4 + -1. Put a, r, x in decreasing order.\nAnswer: r, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 5. Let l be (6 - 2)*b\/4. Put -1\/4, -4, l in decreasing order.\nAnswer: -1\/4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egla when four letters picked without replacement from {a: 1, e: 2, l: 5, g: 1}.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-w + 4*w - 2*w)*(2*w**2 - 2*w**2 + w**2).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1576949 is divided by 394224?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1500152 - 2?\nAnswer: -1500154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 335, 1186, 2603, 4586, 7135?\nAnswer: 10250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23926, -28722, -33518, -38314, -43110?\nAnswer: -47906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23599, -185724, -623337, -1473406, -2872899, -4958784?\n\"Answer: -22828*t**3 - 776*t**2 - t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193451 = 3539*i + 133335 - 148685 for i.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77757.19 years in centuries?\nAnswer: 777.5719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 3924.\nAnswer: 7848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51058 is divided by 4279?\nAnswer: 3989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3434, -6680, -9730, -12584, -15242, -17704, -19970?\nAnswer: -22040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*24\/(-104))\/(6\/4). Is 3\/7 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -w + 13, -38 = -5*c + 10*w - 6*w. Calculate the remainder when 329 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -11*q - 15. Let u(i) = 5*i + 8. Let g(c) = -2*a(c) - 5*u(c). Is 4 a factor of g(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 291566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 26*s**2 - 31*s - 90. Let m be h(-27). Is 16 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 42259*p + 21129.\nAnswer: (p + 21129)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 6. Let f be v(18). Calculate the highest common factor of f and 2076.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -206497, 3, 2, -5 in ascending order.\nAnswer: -206497, -5, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1488 and 12927?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -42*g**2. Let d(f) = 47*f. Give q(d(h)).\nAnswer: -92778*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -781 - -785. Solve -i*o + 18 = -n - 1, -3*n = 5*o - 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 30 + 5)*((3 - 2 - 2)*(0 - p + 0) - 4*p + 2*p + 0*p - 2*p - p + p + 3*p - 2*p + 6*p).\nAnswer: -164*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 672855 (base 14) to base 9.\nAnswer: 6528167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -192677342*p**2*y + 2*p**2 - 77816274*p with respect to y.\nAnswer: -192677342*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -121 (b) -10 (c) -5 (d) -3\/5 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472389803?\nAnswer: 307, 863, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 12*b - 9. Let g be p(-20). Let l(z) = 157 + 7*z**2 + z**3 - 312 - 3*z + g. What is l(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1070, 1058, 1034, 992, 926, 830, 698?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -7966940\nAnswer: -159338.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1642.2, -3\/5, 0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -2, 1139 in ascending order.\nAnswer: -2, 1, 2, 1139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 713 - 706. Solve 15 = u*b + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -949 and -950 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4083.999 milligrams in micrograms?\nAnswer: 4083999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -433 + 433. Suppose m = w + x - 22770, -5*x + 2*x + 9 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11211757 (base 8) to base 16.\nAnswer: -2513ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(1300) - sqrt(1300))**2 + -5.\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7729*g**2 + 301429*g - 93. Determine j(-39).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g - 50*g**2 - 405*g**2 + 128*g**2 in the form t*g**2 + b + a*g and give t.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*j = 318, -5*b + b + 2*j - 406 = 0. Let t = -16 - b. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*j**2 - 24*j**2 + 66*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 26963157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 0.43 (b) -9 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**3 - 3*d**3 - 9*d**2 + 24*d**2 - 15*d**2.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 4, 18, 0, -2 in descending order.\nAnswer: 86, 18, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -482669029075 and -17.\nAnswer: -482669029092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 5912.\nAnswer: 2956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + -0.088.\nAnswer: -0.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2992 - -2985.5. Let h = -3 - -7.5. Let c = x + h. What is the closest to -0.1 in 0, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = k + 204, -a + 46 = -0*a + 5*k. Suppose -5*g + a = 1. Let p(q) = q**2 + 44*q + 496. Calculate the lowest common multiple of g and p(-26).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 19*g**3\/6 + 19*g**2\/2 + 35*g + 1. Differentiate p(a) wrt a.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -2210011?\nAnswer: -2210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from hkeqkpx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7*o + 9. Determine k(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**4\/6 - 2*z. Let n(a) be the third derivative of -2*a**2 + 0*a**3 - 1\/60*a**5 + 0 + 0*a + 0*a**4. Determine f(n(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 829945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -780, -3088, -6878, -12108, -18736, -26720, -36018, -46588?\nAnswer: -58388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-824)\/10)\/((-14)\/35). Let t = -399 - -284. Let v = q + t. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 6*u**2 - 2*u - 6. Let m be k(-6). Suppose 6*y = 28*y - 44. Suppose 11 = -2*h + 5*b, 0*b - 5*b + 23 = 4*h. Solve 0 = y*s + h + m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*h**5\/5 - 12*h**4\/5 + 2*h**3\/5 + 3*h**2\/5 - h\/5 = 0. What is h?\nAnswer: -1\/2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, x: 3, a: 1, m: 5, u: 3, k: 5}. Give prob of picking 1 m, 1 n, 1 a, and 1 k.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 902845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1169.38848 take away -61?\nAnswer: -1108.38848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-10)*1*5*35*(-57)\/13965?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*n**5 + 23*n**4 + 6*n**3.\nAnswer: n**3*(n + 3)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361*w**3 + 12 - 12 - 363*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6 + 2 - 57*h + 6 - 4. Let f(q) be the first derivative of -28*q**2 + 8*q - 46. Let l(o) = 5*a(o) - 6*f(o). Find the first derivative of l(j) wrt j.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(243) + sqrt(243) + sqrt(27) - sqrt(27))*1*-4*2)**2.\nAnswer: 6912*sqrt(3) + 62784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51353 + 78693. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8849736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (-1)\/2*0. Let y(d) be the third derivative of d**5\/30 - d**4\/12 + 5*d**3\/6 - 55*d**2. Calculate y(u).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 3 + 2*n**2 - 74*n + 74*n + 68. Let j(u) = 24*u. Give y(j(a)).\nAnswer: 96*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1357 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by (12\/(-22))\/(-3) - (-423)\/33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-4))\/((-236)\/8)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(1 + 2 + -2). Let b = 4 + 66. Suppose q*r + 3*r = 4*g + b, 4*r - g - 89 = 0. Calculate the smallest common multiple of 8 and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 203944, 407603, 611264, 814927, 1018592, 1222259?\n\"Answer: u**2 + 203656*u + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + 0*y + y)*(-487 + 487 - 87*y) to the form h*y + t + m*y**2 and give m.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -41, -83, -125?\n\"Answer: -42*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 511.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**4\/4 - 8*w**3\/3 - 5*w**2\/2 + 8*w - 6. Let a be h(-7). List the prime factors of (-335)\/(-10) + a\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 279*x**2 + 35. Is a(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3259*k + 2975 + 293 = -3087*k for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s - 3*s + 0*s + (-s - s - s)*(1 - 5 + 2) + 2*s + 0*s - s to w + u*s and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 13*s = -18*s + 1450, -o - 4*s + 716 = 0. What is the greatest common divisor of 1628 and o?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1760 - -1742. Is g > -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -11*y**2 + 9*y. Let v(a) = 5*a**2 - 4*a. Suppose 0*c = c - 25. Suppose -h + 27 = -c. Let m be 3*(h\/12 - 2). Determine m*v(p) + 3*i(p).\nAnswer: 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1)**(3\/8)*k**2*k*k**(-1\/2)*k*k)**(-25) assuming k is positive.\nAnswer: k**(-975\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5982802 divided by -5982802?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.278943g in micrograms?\nAnswer: 6278943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -10607 (b) -2\/11 (c) -5 (d) 8.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4604655 by -177.\nAnswer: -26015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 879202, 1758402, 2637602, 3516802, 4396002?\n\"Answer: 879200*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 6*m + 4*m)*((2*m - 2*m - m)*(5 - 6 + 3) - 3*m - m + 5*m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-9)*-3)\/(4\/108). Let q = b + -27. Solve q = 4*y + 3*i - 2*i - 8, -y = -i - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1520 + w - 344*w**2 - 1162 + 17*w**5 + 311*w**2 wrt w?\nAnswer: 340*w**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5 + -0.5. Let s = 7.71 + -8.11. Which is the third smallest value? (a) n (b) -0.3 (c) s (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 245466868 to the nearest integer?\nAnswer: 15667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + -1 + 1 + 1940001. Suppose -22*t = -16*t - 12. Suppose 4*v + 5*i = -k, -1 = -i + t*i. Round v to the nearest 10000.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 772*n + 548*n + 795*n - 462*n.\nAnswer: 1653*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - ((25 - 23) + 4\/(-2))\/(-2). Solve -4*u - 12 = 4*o, -x*o = -18*u + 17*u + 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2043a78 (base 13) to base 12\nAnswer: 333566a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 73262.83 weeks?\nAnswer: 512839.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1546527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**4\/8 - 59*d**3\/3 + 2*d**2 + 62. Differentiate l(h) wrt h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1210)\/75 - 146\/(-1095)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/861 and -193\/510.\nAnswer: 146370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -981 divided by -1\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 14*g**2 - 5*g + 2. Let i be l(2). Suppose 0 = 24*b - 21*b - i. Suppose -5*w - 1 = -b. Solve 1 = 2*x - w*t, -2*x = -x - t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - a - 9, 2*a = -4*x + 30. Sort x, 0, -4 in descending order.\nAnswer: x, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -3.082738, -2\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 5*s**2 - 5*s. Let x be f(-4). Let c(n) = x*n + 0*n - 5*n. Let m be ((-1)\/4 - 0)*(182 - 198). What is c(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102021112202 - 1001020?\nAnswer: -102022120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4779 and 9.\nAnswer: 4779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61939 - -61963. Let x = -7 - -3. Calculate the remainder when (-89)\/3*(x - -1) is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*x - 6 - 12, 5*x = 3*a - 34. Suppose -4*g + a*c + 18 = 0, -3*g - 2*g + 5*c = -25. Solve g = -w - 1, 3*w = 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 550 + -484. What is the greatest common factor of d and 84?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 161 from 17753657.1.\nAnswer: 17753496.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 9:59 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + 31. Suppose 4*x - 5*p - 114 = -l, -15 = 5*p. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 1. Let d(i) = i**2 - 6. Let g(t) = -d(t) - 6*y(t). Let z(k) = 3*k**2. Calculate g(z(f)).\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 0*t**2 + 2*t**2)*(-8 - 15 - 40).\nAnswer: -126*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*s + 1 + 13, 1 = x. Suppose -2*u + 5*u - 25 = 5*h, -20 = 4*u + 4*h. Differentiate y**2 - 2 + s + u*y**2 wrt y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/17? (a) 0.3 (b) -0.6 (c) -363\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(24*21\/(-2100)*(-30)\/(-12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x - 8. Let s be k(-4). Let m be 10\/(-2)*1 + (-196 + -14)\/(-21). Solve -b = -3*b + w + 3, m*w = -s*b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6146 and 36012487.\nAnswer: 3073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -11 (b) 1 (c) -2 (d) 3\/5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 289837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 6*w**2 - w - 15. Let o be r(5). Solve -4*h = b + 3*b, 3*b = -o*h - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 11*f - 2. What is the nearest to 1 in 2\/3, f, -3\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(528)\/sqrt(3) + -3).\nAnswer: -9 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3220*z + 168861 = 7861 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5 = z, -3*z = 2*z + 2*k + 3. Which is the nearest to -2\/5? (a) -0.2 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + y + 1. Let z be v(-1). Suppose 11 = 2*m - i, 0*m - z*m - 4 = 4*i. Suppose 3*r = m*r - 5. Solve -c + r*o + 29 = 0, 3*o + 2 = 3*c - 25 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3016.94676 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21827?\nAnswer: 13, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**2 - 7*k - 38. What is v(0)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -14)*(-1)\/5. Suppose 4*r - 26 = -0*t + 2*t, -21 = -3*r + q*t. Let m be 21\/(-35) + 28\/r. Solve -5*k = -5*p - 25, -4*k - m*p - 5 - 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 120717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 17*i**3\/6 + 31*i. Let o(l) = 11*l. Calculate o(n(y)).\nAnswer: 187*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 26 = 3*u - u, -5*u - 25 = 0. Suppose a*p - 951996 = 2324004. What is p rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 - 73 + 74)*(2*l - 3*l - l)*(0 + l + 0 + 4) + (0*l - 9*l + 2*l)*(0*l + 0*l - l).\nAnswer: -101*l**2 - 432*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t**2 - 47*t + 4. Calculate h(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77795 + 13277 = -6*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)\/j**(-10))\/(j**(1\/3)\/j**17) assuming j is positive.\nAnswer: j**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1841466 and -19\/2.\nAnswer: 1841466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58 + 96 - 28) + 78?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 2:01 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (295*t + 2334 - 2334)*(0*t**2 - 2*t**2 + t**2) - 2*t**3 + t**3 + 0*t**3 to the form g*t**2 + c + k*t + l*t**3 and give l.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1015 divide 10936334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1047947141*b - 1047947137*b + 3 - 3.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*a**2 - 39*a**2 - 89*a**2 - 7*a + 7*a + 187*a**2.\nAnswer: 154*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a - 5. Let k be b(6). Let c be 1\/3*(-3 - 6). Let h = c + k. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -609*u - 21. What is the units digit of h(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 11*k**2 + 13*k + 13. Let y(f) = 2*f - 1. Let r(p) = -13*p + 19. Let u(o) = -r(o) - 6*y(o). Let t be u(5). Is q(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*a = 0, -3*a + 80 - 99 = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*g**2 + 2702 - 2702.\nAnswer: 166*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 0)*(20*n**2 - 29*n + 29*n).\nAnswer: 80*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 72878.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/14)\/(-10 + 12). Is -3 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-90)\/1246) + (-12)\/54. Do 486\/7 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 411145 and 2089584.\nAnswer: 177614640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 7*r**5\/60 - r**4\/12 + 139*r**3\/6 + 112*r**2 - r. What is the derivative of s(f) wrt f?\nAnswer: 14*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from gpxxglxlelxexepxp?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -676*z**4 + 54860*z**3 - 8428*z**2 + 324*z.\nAnswer: -4*z*(z - 81)*(13*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -551*k + 1039*k - 528*k - 3 + (-2 - 2 + 6)*(-2*k - k + 5*k) to n*k + j and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, f: 3, p: 7}. What is prob of sequence pfpp?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 5*o**3 + 8664 - 8664.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 5 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -75*d. Let v(n) = 14*n - 22. What is l(v(t))?\nAnswer: -1050*t + 1650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331251 (base 6) to base 9.\nAnswer: 41684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10280*o + 24 = 10304*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v - 1. Let l be y(-1). Suppose -12 = -4*h, -l*n = -2*n + h - 480. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -576*v**3 + 383*v**3 - 1 + 1.\nAnswer: -193*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-17280)\/4480*((-4410)\/27)\/(-14)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 32, 52, 74?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (3 + 7)) + 16 + -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03 and -405.9758?\nAnswer: 405.9458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10873786 divided by 1441.\nAnswer: 7546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**8\/f)**46*(f**(-6\/7)\/f)\/f**17)**(-13\/6) assuming f is positive.\nAnswer: f**(-13793\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457525 is divided by 120?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0 = -5. Let k = y - -3. Let t = k - 0. Solve -b = -t*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -152, -3, -4\/5, -3\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248008 + 145*h - 248008.\nAnswer: 145*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-12742.\nAnswer: -2548.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a factor of 14779290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3752843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 4*g**2 + 2*g + 3. What is c(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -9*k + 104. What is the greatest common factor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(2\/3)))\/b*b\/b**8 assuming b is positive.\nAnswer: b**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 242 and 5\/((-100)\/(-16672)) - (-348)\/145.\nAnswer: 9196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 15*w + 6*w - 32*w + 11*w + w. Let t(x) = 6*x + 2. Suppose 0 = 4*v - 24 + 8. Determine v*l(p) - t(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2346 - 2345.97. What is the third biggest value in d, 8\/9, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + 2)*3 + sqrt(18))**2 + sqrt(72)\/(sqrt(4)*-4).\nAnswer: 573*sqrt(2)\/4 + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 10\/7, 0.7, 1, 1\/38?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -55, 10, 1, 0 in descending order.\nAnswer: 10, 5, 1, 0, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c. Let z = 221 - 219. Let k(a) = a + 2*a**2 - a**2 + a + 4*a**z - 4 - 4*a**2. Determine -k(m) - 2*s(m).\nAnswer: -m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 126*a**2 + 2*a + 126.\nAnswer: -2*(a - 1)*(a + 1)*(a + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 28668 and -79.\nAnswer: 28589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 62236544 to the power of 1\/2, to the nearest integer?\nAnswer: 7889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 205 - -112?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 307*k - 303*k - 2*h, -4*h = 5*k - 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -4\/13 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/13 + 456*g**2\/13 + 34656*g\/13 + 877952\/13.\nAnswer: 2*(g + 76)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177767835?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - g + g)*(-4 + 3 + 2) - 2 + 2 + g - 4*g - 38 - 19 + 24.\nAnswer: -5*g - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*j*y**2 - 2*j*y - 1868*j + 5*y**2 wrt y.\nAnswer: -10*j*y - 2*j + 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 9\/343528?\nAnswer: 9\/343528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(2\/3)*(((g**7\/g)\/g)\/g)\/g*((g**(-1\/4)*g)\/g)**(-1\/43))\/(g\/(g*g*g\/(g**(-12)\/g))*g**(-1\/18))**(-3\/11) assuming g is positive.\nAnswer: g**(8891\/5676)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 714a (base 15) in base 2?\nAnswer: 101110101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*l**3 + 12492*l**2 + 2521024*l - 1897788 = 0. Calculate l.\nAnswer: -167, 3\/4, 947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/5 or 7.7?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h = -44*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 5:23 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(2) - sqrt(162)*1 - sqrt(2))*2 + (sqrt(72) - sqrt(72)*1 - sqrt(2) - sqrt(2) - (5 + sqrt(4)\/sqrt(2))))**2.\nAnswer: 210*sqrt(2) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1515648 divided by 6\nAnswer: 252608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 43 = s, 73 = -3*r - 0*s + 5*s. Suppose 4*i = -5*z + 122, 19 = -4*z + 2*i + 101. Let a = z + r. Solve a - 1 = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2615 equal to -2614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/227 (b) -1\/2 (c) 5 (d) 2\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14986\/5 - 2997. Let y = -2.01 - -0.01. Sort p, -9.3, y in decreasing order.\nAnswer: p, y, -9.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -14*j - 8. Let h(a) = -15*a - 9. Calculate -6*h(y) + 7*u(y).\nAnswer: -8*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4597 (b) -10 (c) 0.2 (d) -5 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - 0.1. Let r = 1.03 + -0.93. Which is the third biggest value? (a) r (b) 2\/9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 490 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1840 and 10695.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2707*q - 2710*q - 4 - 2)*(-4*q - q + 4*q).\nAnswer: 3*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 12 = -0. Let h be (-58)\/(-18) + o\/18 - 1. Solve 2*w + 10 = -2*m, -h*w + 4*m + 6 - 4 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-3) - (7 - 1). Let w = 8 + z. Solve 0 = 4*f + w*x + 4, 0 = 4*f + x - 1 + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**6\/1260 + i**5\/60 + i**4\/14 + 17*i**3\/3 + 3*i**2 - 5. Let c(v) be the first derivative of p(v). Factor c(w).\nAnswer: 2*(w + 1)*(w + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/((-98)\/455))\/((-2)\/4). Calculate the greatest common divisor of d and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:50 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 - 3*y**3 + 7*y**3 + (-5*y**2 - 4*y**2 + 2*y**2)*(3*y - 4*y - 5*y) to r*y**2 + c*y + j + g*y**3 and give g.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -33. Suppose 2*k = -4*p, -p + 7 - r = -3*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -3. Let k be (-48)\/(-72) + (-8)\/(-6). What is the third biggest value in k, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3 - 7657*p**2 + 15311*p - 7655 = 0 for p.\nAnswer: 1, 7655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 260762\/1121 - 8936\/59. Let z = -670131181\/342 - -5878603\/3. Let c = z - d. What is the common denominator of c and -61\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d + 480 = -43*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 109 = -13*l. Let p = 3 - 2.8. Sort -0.2, p, 0.4, l.\nAnswer: -0.2, p, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 7*i - 7*i + 38 - i**2.\nAnswer: -3*i**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 10*x = -42. Solve -x*h = h + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45155 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**2 + 16 + 3 - 61 + 2*f - 79*f**2 wrt f?\nAnswer: -160*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f**2 + 124*f + 659. Determine t(-6).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 - 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 13*o - 12. Let y be p(-5). Let w = 1701 + -8501\/5. Suppose -8\/5*d**2 - 4\/5*d + w*d**y + 6\/5 + 2\/5*d**4 = 0. What is d?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k + 15*k + 73 = 2*q, k - 3*q = 1 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/49? (a) 0.2 (b) 1\/4 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*r**4 + 4497*r**3 + 291473*r**2 wrt r?\nAnswer: -480*r + 26982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-64)\/(-16)*(2 - (-2)\/(-4)). Let u be 12\/x - 0\/5. Factor -2\/3*w**u + 2\/3*w + 2\/9*w**3 - 2\/9.\nAnswer: 2*(w - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1719930524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 0*t**3 + 1\/10*t**5 + 0 + 0*t**4 + 0*t + 16*t**2. Let m(d) = -2*d**2 + 3 - 3. Give w(m(a)).\nAnswer: 24*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 187 and -149.\nAnswer: -27863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**7\/30 - 11*u**5\/60 + 11*u**2. Find the third derivative of i(x) wrt x.\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 4*m + 7. Let n = 10 - 15. Let j be f(n). Suppose -1629992 = -0*q + q + j*p, 4*q = 2*p - 6520008. What is q rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 306, 353, 400, 447?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - o = 0, 9*o - 6*o + 18 = 3*y. Suppose y*t - 4 = 2*l + 6, t + 5*l = 11. Solve t = 2*s, -a = -0*a - s - 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188031 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0*v - 10*v)*(-2 + 2 - 2)*(-3*v**2 + 3*v**2 - 9*v**4).\nAnswer: -144*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -11*o**3 - 20*o**2 - 29*o - 12. What is the tens digit of g(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -17. Suppose -4 - 6 = g*r, 0 = 5*x + 3*r + 5. Suppose 5*y + 22 = 2*d - 7, 2*y + 6 = 0. Solve c + 5 = -x*i, i + d - 1 = 3*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = c - 6. Let j be (-1 + -1)\/2*(c - 14). Suppose j*r - 4*f - 29 = 0, 2*r + 2*f - 9 - 1 = 0. Solve -r = -l - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(-12)\/(-8)*136\/12. Which is greater: q or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 73*o**3 - 120*o**2 - 13*o. Let x(n) = 12*n**3 - 20*n**2 - 2*n. Let t(j) = -39*x(j) + 6*y(j). Find the third derivative of t(w) wrt w.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 942952 divided by -5.\nAnswer: -942952\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4*(-13 + 11). Let q(h) be the third derivative of 0*h**5 + 0 + 0*h + 11*h**2 - 1\/12*h**4 + 1\/6*h**3 - 1\/30*h**6. What is q(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-3)\/45*1\/2. Let y = -4\/31 + -11\/155. Which is the smallest value? (a) y (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 10:57 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8*g = 13*g - 3702, 0 = 3*k + 5*g - 5558. Calculate the highest common factor of 64 and k.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.0479 - -0.0479. Let w be (-9)\/12*(-8)\/10. Put x, 0.3, w in increasing order.\nAnswer: x, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 18 = 3*y - 38, 3*d + 4*y + 5 = 24 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3\/13 - 2300*t**2\/13 + 16022*t\/13 - 22860\/13 = 0. What is t?\nAnswer: 2, 5, 1143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 35 (b) -1 (c) -2\/15 (d) -40993\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46804*c + 16905?\nAnswer: -46804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + 142. Suppose -2*z - 10 = -3*h + 90, 5*h = -z + y. What is the greatest common divisor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/((-3)\/(-12)). Let c = 61518 + -61513. Solve 9 + 15 = -c*p - w, 0 = -2*p + z*w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9*d)\/d*d\/(d**13\/d)*(d**(-1\/5))**(-24) assuming d is positive.\nAnswer: d**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 163, 246, 329, 412?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1114 less than -17.7959?\nAnswer: -17.9073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -c - 0*c - 9, -w = -5*c - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/90 + (-9)\/15)*9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6419120480 to the nearest integer?\nAnswer: 1858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3390454 to the nearest integer?\nAnswer: 1841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1404640.775 + -979204.7639. Let j = p + -425407. Let a = j - 29. What is a rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/4)\/(r*r*(r*r\/(r**(-1\/8)\/r)*r*r)\/r))**(-44)*(r*r*r*r**0)**(2\/3)\/(r*r**(-1))**(-5\/11) assuming r is positive.\nAnswer: r**(609\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 0*l + 0*l**3 + 0*l**5 + l**2 - 1\/6*l**6 + 0*l**4 + 3. What is the second derivative of w(c) wrt c?\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16599 is divided by 2719.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -143\/75 + 56\/25. Which is the third smallest value? (a) -0.5 (b) -109 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g. Suppose f = 9 - 1. Suppose -28 = 5*n - f. Let i be x(n). Solve -w - 3 = -i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444*g - 6*g**2 + 32*g + 10*g**2 = 0. Calculate g.\nAnswer: -119, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 4) to base 7.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*y - 34*y - 43*y - 7*y - 44*y - 42*y - 44*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66151 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m + 17. Let y be b(8). Suppose 0 = -4*j + y - 25. Which is greater: -8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-2) - 4\/36*12264\/(-112)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 0*f + 0*f**3 + 1\/105*f**7 + 0 + 1\/60*f**6 - 1\/12*f**4 + f**2 - 1\/30*f**5. Suppose r(l) = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -709 + 1749. Is 61 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3541?\nAnswer: 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2 - (69 + -57 + (-18 - -4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 2536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -136*f**4 + 513 wrt f?\nAnswer: -544*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*n = -6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*((sqrt(1900) - (sqrt(1900) + 2)) + sqrt(1900) - sqrt(1900)) + -5 - (-3 + sqrt(1900) + -1*sqrt(1900) + 2))**2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 2*p**2 - 2*p**4)*(19 + 4 - 11).\nAnswer: -24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -593246 + 35?\nAnswer: -593211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17316361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*n. Suppose -n*u + 3*u = 1. Let f be (u\/21)\/(2\/(-6)). Do -1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -9 - -5 - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19632.84 days to minutes.\nAnswer: 28271289.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92078491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 214 - 220. Let g(r) = 3*r**2 + 9*r + 11. Let h(m) = -4*m**2 - 10*m - 12. Let f(d) = 3*g(d) + 2*h(d). What is f(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 9:13 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 11:00 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2*(0\/5 - (-2)\/30)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87596530 and 431510.\nAnswer: 87596530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/3 - 29446*c**4\/3 - 68730*c**3 - 147294*c**2 - 88380*c = 0 for c.\nAnswer: -3, -1, 0, 14730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 5 = 5*z. Let n(l) = -z - 2*l - 1 - 2. Let b be n(-4). Solve -3 = s - b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*q**2 + 83*q + 18.\nAnswer: (q + 9)*(9*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 378*p + 35400. Determine j(207).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uujuuuuuuuuuuuuujuu. Give prob of sequence ju.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 489*(-2)\/(-330) - ((11 - -18) + -26).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -111, -194, -319, -492?\nAnswer: -719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3367.113mg?\nAnswer: 3367113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -48\/75570337 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16390 and -0.02.\nAnswer: -327.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**4 + 16*s**3\/3 + 10*s**2 + 8*s + 1. Factor y(o).\nAnswer: 4*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 245 and 294?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 6 - 14\/(-2). Let g = -192 + 209. Suppose -6*t = -7 - g. Solve -t*j = -2*x, 2*x + 2*x - 4*j + m = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-12 + 2 + 2)*(-4 + 4 - 1) - 4 + 3 - 39)*(-2*m**2 + 2*m**2 - m**4) as f*m**3 + c*m**2 + a*m + n + g*m**4 and give g.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-10)\/(-12)*3). Let b(w) = -37*w**x - w + 1 - 3 + 7*w + 38*w**2. Let d(i) = -i**2 - 3*i + 6. Let z be d(-5). What is b(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from gjpijp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222132 divided by 3.\nAnswer: 74044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9311, 37242, 83845, 149162, 233235, 336106, 457817, 598410?\nAnswer: 757927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1 = -4, 0 = -3*y + 3*p - 3. Suppose 2*n + y = 8. Solve -n*u + 20 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89293 by 5.\nAnswer: -89293\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40\/20 - (3 - 1). Let i be (-21 - -20)\/(1*(1 - z)). Let d be (-3 - -1)\/(-2)*0. Sort 1, d, i in descending order.\nAnswer: 1, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1359 + 2787. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.6 + -0.4. Let r = w - -5. Let h = 2 + r. Sort 2\/7, h, 3.\nAnswer: 2\/7, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 - 24*z + 51. Let w(i) = -12*i**2 - 99*i + 207. Let h(x) = 13*t(x) - 3*w(x). Suppose h(p) = 0. Calculate p.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 1, z: 2, d: 1}. Give prob of picking 1 f and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 36. Let g be -1*(2 - 3) + -4 + i. Suppose g*f + 17 = 21. Solve 4*p + 0 - 2 = 2*x, -5*p + 3 = -f*x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1758 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*u + 505 = 0, -5*d + u + 34 = -761. What is the highest common divisor of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 10. Let d be z(-12). Let i = 0 - 2. Let h be 12\/4*i\/(-2). Solve -5*y = -h*y - d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 160 + 313 = 0 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86963.84um to kilometers.\nAnswer: 0.00008696384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 135*k**3 - 5*k**2 + 1263*k - 3781. Is z(3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 97*v - 1079. Determine z(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -645 + 640. Sort 1, 17.8, f in descending order.\nAnswer: 17.8, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1301244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 304*z + 57. Let i(n) = -202*n - 36. Give -8*i(o) - 5*s(o).\nAnswer: 96*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 88 = 0, 12*c = i - 3176 + 3309 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*u - 45, 5*u - 3 = -3*s + 33. Let o be (-2)\/(48\/21 - 2). Let g = s + o. What is the remainder when 29 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109730.\nAnswer: 2, 5, 10973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -302\nAnswer: 120.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z - 851 - z - 2*z**2 - 803 + 1737 to y*z**2 + f*z + b and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2 - 5 + 1 + 3*r**3 as k*r**2 + j + z*r**3 + f*r and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 282 + -274. Let s(g) = g**3 - 7*g**2 - 8*g + 1. Give s(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 24*b + 7. Let i(s) = s - 1. Suppose -3*g + g + 12 = 0. Let w be i(g). Is m(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 61 = -3*c + 29, -t + 4*c + 15 = 0. Suppose -t = -2*d - d. Suppose 1847 = d*r - 1996. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -83*k - 4327. Determine g(-49).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 3*d**2 + 2*d + 6. Let o be k(-3). Let g(z) be the second derivative of -1\/6*z**3 + o - 1\/2*z**2 - 3*z. What is the derivative of g(f) wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 17. Suppose -3*l + 6 = -o. Suppose -2*m - 3*c = -2*c - 5, l*c = -3*m. Solve -3*p - w = -m, -p + 2 = p + 2*w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*v - r, v + r = -0*r. Let w(y) = -y**3 - 3*y**2 - y. Let h be w(-2). Let f be h - (-8 + 1 + v). What is the greatest common divisor of f and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -j + 53, -8468*h + 8480*h = j - 123 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -19\/4, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2425, -4, -3753.\nAnswer: -3753, -9, -4, 2425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 663579 and 1107.\nAnswer: 27206739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 40 = -3*g - 14, -2*g - 3*f = -19. Solve 0 = -5*n + v - g, -2*n - 16 = 2*n - 4*v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/225 - ((-7)\/(-6))\/((-3)\/62)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 385185865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k = 8*k. Suppose 5*b + 4*a - 789 = k, 3*b - 2*b - 5*a - 152 = 0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a - 14 = -4*q, -13 = -3*q + 4*a. Let t(s) = s**2 - 2*s + 2. Let j be t(q). Let o(k) = -k + 15. Let x be o(13). Sort 0, j, x in ascending order.\nAnswer: 0, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6980496062850 and 0.17.\nAnswer: -6980496062849.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 - 8046*k - 1153400.\nAnswer: -(k + 146)*(k + 7900)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2.754 times 0.02\nAnswer: 0.05508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6791\/9009 - -67\/1001. What is the common denominator of 68\/3 and l?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 2:16 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 891, 842, 791, 738, 683?\nAnswer: 626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**4\/8 + 4*q**2. Let d(g) = 3*g. Calculate y(d(o)).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 565081 and 4315164.\nAnswer: 47466804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 2*g**2 + g**2)*(-32 + 32 + 4*g).\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -18 - -1) + -6 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -118.9 - -117. Which is the second smallest value? (a) n (b) -4 (c) -1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8359 is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -753 divided by 43.\nAnswer: -753\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 7220*w - 7216.\nAnswer: -4*(w + 1)*(w + 1804)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.78 - 4.79. Round l to 1 decimal place.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 8*b**2 - 13*b**2)*(5 + 2*b**3 - 5) + (1 + 2*b**4 - 1)*(4*b - 3*b + 0*b + (1 + 4 + 1)*(-2*b - 3*b + 7*b)).\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*z = 28*z - 1501 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 9:06 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9755 + 9709. Which is smaller: -34 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*n - 12 = 0, 2*n - 4*n = -4*a - 24. Let m = 10 + a. Sort m, -2, 0.5.\nAnswer: -2, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - -1. Suppose z - 3*l = 5*z - 143, 0 = -z - 5*l + g. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1238 and 8?\nAnswer: 4952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p - 37120. Let w(b) = 8*b. What is g(w(k))?\nAnswer: 32*k - 37120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2 - 906*r + 205209 = 0.\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/(sqrt(8)*-1) + (sqrt(7) + sqrt(567) + -1 - sqrt(7)))*-6 + -5*(-5 + (sqrt(84)*-3)\/sqrt(12)))**2.\nAnswer: -2046*sqrt(7) + 8584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cegz when four letters picked without replacement from eeeczzezgeceeeze?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 8. Let i be h(-6). Suppose -425 = -i*u - 3*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.6 - -0.4. Let p = 20768 - 1536719\/74. Let r = p + -1\/37. What is the biggest value in -2\/7, v, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 133*n + 75 = -70, -22 = 5*n - 27 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002790334 to 7 dps.\nAnswer: -0.000279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-6))\/(i*i*i**(2\/5)\/i))\/(((i*i\/(i*i**(-2\/11))*i*i*i)\/i)\/(i**(-5)\/i)) assuming i is positive.\nAnswer: i**(-857\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 38949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/2307 less than -4\/99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d + 5*t = -16, 4*t + 4 = -d. Let b be d\/14 + (-161)\/(-49). Let j(s) = b*s - 10*s + 6*s**2 + 7*s. Let u(n) = -5*n. Determine u(j(y)).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9328 and 2.0824183.\nAnswer: -9325.9175817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {n: 6, h: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - w + w - 20 = -w, 2*w + 42 = -2*s + 6*w for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25975, -102772, -230757, -409924, -640267, -921780?\nAnswer: -1254457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381429657.\nAnswer: 3, 7, 619, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 338.1349 millilitres to litres.\nAnswer: 0.3381349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 4*f**2 - 1. Suppose 2*s - 5*h = -2*s + 11, 3 = 2*s - 5*h. Let k be l(s). Let b(m) = -2*m**3 + m**2. Give b(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 c when four letters picked without replacement from icicicciiiiiiiciii.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3258 - 3257.9. Let y = 29 - 29.4. What is the nearest to i in 7\/2, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3612)\/56)\/(-43))\/(((-12)\/(-184))\/3)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84*p + p**2 + 6 + 84*p)*(-p**3 + p**3 + 6*p**3).\nAnswer: 6*p**5 + 36*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5998, 12059, 18146, 24271, 30446, 36683, 42994, 49391?\nAnswer: 55886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-231)*((-1092)\/234)\/((-16)\/6).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3241\/4)\/(-7)*1. Let f = l - -116. Which is the biggest value? (a) 1 (b) -1 (c) -1\/10 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r - 10. Let t be y(-7). Let q(x) = 4 + t + 2*x - x. Calculate q(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**3\/3 - 3*a**2\/2 + 4*a + 2. Let b be h(3). Let p(w) = -w**3 + 4*w**2 - 3. Calculate p(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/9 + 56\/57. Let o be (12\/38)\/(18\/(-56)). Let g = q + o. Put g, 0.4, 4 in descending order.\nAnswer: 4, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -7. Suppose z*u - 12 = 120. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 10*g**2 + 3*g + 3. Is p(-2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(35))\/sqrt(7) - (sqrt(30)*3)\/sqrt(6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 5 + 4 - -17) + 736 + -823.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17299, -34799, -52313, -69841, -87383?\nAnswer: -104939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47.9 - -43.9. Which is the nearest to 1? (a) 1\/2 (b) m (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8920962 to the power of 1\/2, to the nearest integer?\nAnswer: 2987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p*q**3 + 5*p*q**2 - 556*p*q + 8*p + 16*q**3 - 104*q**2 wrt q?\nAnswer: -12*p*q + 10*p + 96*q - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 7*b**2 + 6*b - 6. Let q be h(6). Suppose -z + 3*z - 5*l + 53 = 0, -3*z - 4*l - 45 = 0. Let v = q - z. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138297046?\nAnswer: 2, 37, 1868879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 6. Suppose -2*y + 35 = m*r, -y = 3*r - 1 - 19. Find the third derivative of -t + 4*t**3 + t - t**2 - r*t**2 wrt t.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 23*u - 12. Let x(q) = 4*q**2 + 102*q - 49. Let n(g) = 9*o(g) - 2*x(g). Calculate n(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 30*p + 199591 - 199662 - 3*p. Determine q(-31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/((-396)\/(-24)))\/((-60)\/(-18)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, -6.4, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 33*g**2 - 8*g + 5. Let h be f(-4). Is 566 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 8:17 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**4\/4 + 13*x**3\/3 - 15*x**2\/2 - 12*x - 36. What is the hundreds digit of a(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + z - 2. Suppose 13*m - 10 = 11*m - 2*w, -4*m = -2*w - 2. Calculate f(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**4 + 2*q**4 - q**4 + (0*q + 0*q + q**2)*(-2*q**2 - 2*q**2 + 2*q**2))*(-55 - 52 + 85).\nAnswer: 66*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155 and 3751?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6))\/(214\/30 + -7). Solve d + 8 = -4*a + 5*d, 0 = -3*a - n*d + 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t - 15. Let w(y) = y**3 - 5*y**2 - 24 + 15 + 12 + t*y. What is w(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x**3 - 11 + 18 - 9 - 2*x**2 as z*x + n + k*x**3 + r*x**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18, -49, -112, -219, -382, -613, -924, -1327?\n\"Answer: -2*p**3 - 4*p**2 - 5*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1542511932?\nAnswer: 2, 3, 13, 17, 103, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4978, 39528, 133310, 315940, 617034, 1066208, 1693078?\nAnswer: 2527260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -3. Let a(m) = -4*m**3 + 3*m**2 + 3*m. Let q(h) = -9*h**3 + 7*h**2 + 6*h. Let j(c) = k*a(c) + 3*q(c). Find the second derivative of j(x) wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -11417.\nAnswer: -1\/1631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 208 - 199. What is the remainder when 12 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9886307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 3:10 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/43440111 and -107\/15796404.\nAnswer: 173760444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1160\/(-14)*(-39753)\/56790?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 13691*j + 92 - 13691*j.\nAnswer: 3*j**2 + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 15) to base 14.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.1636 and 455.\nAnswer: 450.8364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -18\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 31*z + 54. What is a(33)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (87*-1*(-2)\/12)\/((-639)\/1278)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-3*y - 3*y - y).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 10*l**2 - 11*l - 5. Let s be i(8). Suppose -2*j - 32 = -2*u, 3*u - 35 = j + 11. Calculate the highest common factor of u and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44517 by -3.\nAnswer: 14839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - y**4)*(-1 + 1 + 1) + (y - 5*y + 3*y)*(3*y**3 - 4*y**2 + 4*y**2).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkfk when four letters picked without replacement from foojokoojkoo?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1954746 and 13356.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/41655345 and -97\/391130?\nAnswer: 83310690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 a factor of 7274186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5608 + 16661. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 1:36 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 21*t - 13 - 32 + 96*t + 37*t. Let y(q) = -307*q + 96. Let x(l) = 5*d(l) + 3*y(l). What is the first derivative of x(v) wrt v?\nAnswer: -151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133755, -133764, -133769, -133770?\nAnswer: -133767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9227 - 0.0773. Sort 54, y, 2 in descending order.\nAnswer: 54, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -31. Let n be 3\/(-2)*(-16)\/(-60). Let r = 77 + -76. Which is the closest to n? (a) z (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b549 (base 13) in base 11?\nAnswer: 37329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (227635\/(-12885))\/(((-7)\/(-2))\/(-7)*2\/3).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92830 is divided by 5774.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 5*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/10 - (580\/25)\/(-4). Suppose -g - 2*g + 45 = 0. What is the remainder when (r\/(-18))\/(1\/(-81)) is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*m - 29, -m - k - 2*k = 13. Suppose -5*s - 30 = 5*y, 5*y - 17 + 7 = 5*s. Let q be 2\/s - (-14)\/4. Solve -q*p = -2*p - m*u + 4, u - 12 = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*w**2 - 26438340 - 4*w**2 + 26438342.\nAnswer: 36*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 6*x - 4. Let v(l) = 5*l**2 - 2*l + 5*l - 2*l. Let q be v(1). Give i(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.88273 and 1?\nAnswer: 1.88273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.43 - -0.07. Suppose 3*w - 21 = -3*k, -2*w + k = -4*w + 9. Which is the second biggest value? (a) 1\/7 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93416 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {p: 7, v: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1382 - 587. Calculate the greatest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1251 is divided by 405.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 886608 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + c**4 - 2 - 2 - 4 - 4*c**2 to n*c**4 + b*c + k*c**3 + z*c**2 + a and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = x. Suppose 0 = -2*s + 2*y, -s + 2*s - 12 = -x*y. Let z be -9 + 4 + 0 - (-38)\/6. Are z and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 4*d + 736, 5*d - 208 = -y + 10*d. Calculate the remainder when 344 is divided by y.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thphqpp. What is prob of picking 2 h, 1 t, and 1 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g*h + 5*g*o - 2*h*o**3 + 15*h*o**2 + 609*h wrt o.\nAnswer: 5*g - 6*h*o**2 + 30*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + 0.26. Suppose -4*m - 3*b = -19, -4*b = 5*m - b - 20. Sort p, m, -2 in ascending order.\nAnswer: -2, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j - 76. Let x(p) = p + 11. Give -2*l(a) - 14*x(a).\nAnswer: -10*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2385137*s**2 - 2*s + 2*s + 2375754*s**2.\nAnswer: -9383*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) 3377\/45 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 524144646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 113. Let j = -52 + o. Let f = 0.19 + -2.19. Sort j, f, 0 in increasing order.\nAnswer: f, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/55)\/((850\/5)\/34).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 9) in base 11?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 28 = c, -10*n - 9*c + 6*c = -87 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2785 - -2800. Let b = -26 + 32. Solve 9*i - n*i + b = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 0.7, 4595\/86?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - -35. Calculate the remainder when n is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 1 + 1)*(30 - 11 + 12)*(-3*v**3 + 2*v**3 + 3*v**3 + 2*v - 2) as i*v**2 + y*v + j*v**3 + p and give j.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -11, 3, -5, -12.796?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 11*h**3 + 53*h**2 + 67*h + 27. Let d(o) = 5*o**3 + 26*o**2 + 33*o + 14. Let t(v) = 9*d(v) - 4*z(v). What is the tens digit of t(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 100203 and -2.\nAnswer: 100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 + 64. Suppose t*v + 3*c = 84, -5*v + v - 2*c = -114. Suppose 0 = 3*l + 3, -2*q - 2*l + 31 = -195. Calculate the remainder when q is divided by v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1230310 + -15534?\nAnswer: 1211443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*r - 0*r. Suppose -r = 4*h + 2. Let p be 0 - -1*(8 + h). Solve 0 = 4*c - 5*q - p, -c - 4*q = -6 - 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-5)\/i)*i\/(i\/(i\/i**0*i))*(i**1)**20)**(-35))**7 assuming i is positive.\nAnswer: i**(-7105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 978088091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4120 and 268006.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 t when four letters picked without replacement from {i: 3, t: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 36 + 24. Let s be ((-5)\/t)\/(2\/4)*-4. Solve -o + 0*o = -s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.5 (b) 116 (c) -1\/4 (d) -3 (e) 1119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12784 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + d + 30. Suppose 0 = -0*y - 7*y + 6*y. Is 10 a factor of n(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence didi when four letters picked without replacement from goidqdin.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*l - 44*l - 29. Suppose -11*n + 18 = l. Is -10\/9 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 31435*r + 75423*r + 44494*r.\nAnswer: 151352*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17409146 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 13. Let w = 108 + -536\/5. Let t = 72 + -291\/4. Which is the closest to 1\/2? (a) w (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o + 27. Give q(-20).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 74 = t, t - 3123*u = -3132*u - 18 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2060 - -2063. Suppose -3*b = 4*f - 57, -5*f + 5*b = -2*f - 79. Let q = s + f. Calculate the greatest common divisor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 b when three letters picked without replacement from {x: 1, y: 2, t: 1, s: 1, b: 2, z: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31991128?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*j**2 + 72*j**2 - 11*j**2 - 671 + 167*j**2 with respect to j.\nAnswer: 402*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16980*c**4 + 7*c - 762 wrt c?\nAnswer: 203760*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + 1 + (817 - -103)\/(-92)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(95))\/sqrt(5).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 13 = 4*t, 0 = -t + 3*t - 4*q. Let d(u) = -2*u**3 + 3*u**2 + 2*u - 2. Let n be d(t). What is the greatest common divisor of n and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10*l - 85 = 0. Suppose 2*z - 3 - l = 0. Suppose 5*k + z = 3*a - 2, -5*k - 4 = -a. Round a to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2 = 11. Let f be (4\/10)\/(s\/(-30)). Is ((-2)\/(-4))\/(f\/(-1688)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -832, -1668, -2506, -3346, -4188, -5032, -5878?\nAnswer: -6726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-4))\/((-10)\/4). Suppose 0 = -5*y + 295 - 325, 9 = 3*o - 2*y. What is the third smallest value in b, o, 2\/21?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 12 = 3*n. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 510*y - 60765 = -506*y, -2*n - 4*y = -40550. Calculate the greatest common factor of n and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/(3\/(-30)). Suppose 0*i = 2*i - 216. Suppose v = r*v - i. Solve 11 = 4*j + v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*k = 37 - 11, 3*r = -5*k - 3. Suppose -j = -c + 5, -r*j = c - 0*c. Let q be ((-9)\/(-6) - (-33)\/22) + -5. Is q less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtptjtjptjjpjtpjt. Give prob of picking 3 t.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**2*p**(-3\/4))\/(p**(-1)*p*p*p*p)**28 assuming p is positive.\nAnswer: p**(-339\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*w = 30*w + 448. Suppose 2*k - 2*o - 32 = o, 4*k - 4*o = w. Solve 0 = 3*t - 4*z - 18 - 5, 5*t + 3*z + k = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 75369 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -167*a - 852 + 852 in the form m + p*a and give p.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2870*n + 245. Let p(r) = 35*r + 3. What is 245*p(b) - 3*w(b)?\nAnswer: -35*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 17 = 3*k, -k + 3*p = 3*k - 6. Let x(z) = -z + 8. Let s(v) = v. Let m(b) = 2*s(b) + x(b). Calculate the remainder when m(-4) is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - u - 1. Let h(g) = -g**3 + 9*g**2 - 2*g - 5. Let s(v) = h(v) - 5*q(v). What is s(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1226266932 is divided by 212?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*y + 2. Suppose -2 = -x + y. Sort 1, x, 5 in decreasing order.\nAnswer: 5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 1070550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25004 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, 170, 186, 220, 278?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/(-23))\/(-4*(-5)\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.18 - 0.2. Let d = o - 3.98. Let w = 0.2 - -0.3. Which is the second biggest value? (a) d (b) w (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m - 8. Let k(n) = -2*n - 273556 - 273558 + 547119. Let u be 5 - ((-2)\/(-1) + -2). Give u*j(w) + 8*k(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 387705522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -15. Let i = 6 + y. Let q be 1\/4 + i\/36. Sort -2\/21, q, 4 in increasing order.\nAnswer: -2\/21, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52035 or -51992?\nAnswer: -52035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 + -1.1. What is the second smallest value in -2, -2\/43, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 1 + 3)*(-4*g**3 + 2*g**3 + g**3)*(-g + 5*g - 2*g + (3 + 0 - 2)*(-3*g + 0*g + 4*g)).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2090 + 2092. Which is the closest to 2\/3? (a) -3 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 - 3 - 4*o**3 + 1 + 2*o - 4*o**3 + 7*o**3. Let q be k(2). Let 10\/7*s + 6\/7*s**4 - 4\/7 - 2\/7*s**q - 10\/7*s**3 = 0. What is s?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 40*d + 17. What is the remainder when z(-22) is divided by 84?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 7*k + 15. Determine q(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 22*v. Suppose -5*h = -3 - 2. Does 10 divide q(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 c when three letters picked without replacement from mmxmmxmmimmmmcm.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 59284?\nAnswer: 237136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -104 (c) 276 (d) 0.339\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3 (c) -0.1 (d) -1 (e) -1.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12 - 0.15. What is the second biggest value in f, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*y = 42 - 204 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72377\/17402 - -18\/791. Let i be (1\/(-7))\/(4\/52802). Let c = 1887 + i. What is the common denominator of g and c?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 296 - 293. Let d = -1.5 + 4.7. Let z = d - i. Which is the smallest value? (a) 5 (b) -1\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/(z*z\/z**2)*z)))**15\/(z\/(z*(z\/z**(2\/9))\/z)*z*z**10))**(-18) assuming z is positive.\nAnswer: z**(-338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8444024ml to litres.\nAnswer: 0.0008444024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**2 - 4*z**2 + 2*z**2)*(-2356 + 2360 - 6*z - z) to the form m*z**2 + x + c*z**3 + d*z and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*l - 3*l - 12 = 0, 4*l = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 10. Let m be j\/(-5) - 8\/(-20). Suppose 4*g - 5*p = 649, -7*p - m = -3*p. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/2 and ((-20)\/(-18))\/((-676)\/(-143))?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hme when three letters picked without replacement from qmqqhqqhhqqehh?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 4*a - 1. Let m = 283 - 270. Calculate the remainder when m is divided by j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 85\/135*6 - 10\/(-45). Factor 208\/3*y - 9*y**o + 45*y**3 - 84*y**2 - 64\/3.\nAnswer: -(y - 1)*(3*y - 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 4*n + 5 - n)*(0 + 0 + 4*n).\nAnswer: 4*n**2 + 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1010101000101000111110 (base 2) to base 11\nAnswer: -1634657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/15 + 5818*x**3\/5 - 38054074*x**2\/15 - 7618962*x - 5080860 = 0. What is x?\nAnswer: -2, -1, 4365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -24712.16\nAnswer: 1729.8512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4238.643 hours to days.\nAnswer: 176.610125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 14) in base 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -196*f**6\/3 + 2*f**3\/3 - 63*f**2\/2 - 200. Find the third derivative of w(i) wrt i.\nAnswer: -23520*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83125534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.313.\nAnswer: -0.0313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 699, 543, 373, 183, -33, -281, -567?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 8*b**2 + 8*b + 7. Let l = 129 + -124. Suppose 0 = -2*r + 7*i - 6*i + 11, i = -l*r + 38. What is a(r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -5*f**4\/12 - 74*f. Let m(d) = -3*d. Determine z(m(k)).\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 177 and 4366?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orgwp. Give prob of sequence wo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -2\/9 (c) 100 (d) 87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7207800 and 104960.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 2813*l**4\/12 - 3*l**3\/2 + 8*l**2 + 2*l. Let v be f(16). What is v rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -862, -2116, -3872, -6130, -8890?\nAnswer: -12152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109a (base 11) to base 9.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 4*z**2 + 2*z + 1. Let r be h(-4). Let u(o) = -o**3 - 3*o**2 + 5*o + 3. What is the hundreds digit of u(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -983 less than -0.02631?\nAnswer: 982.97369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*t + 3*t = 129, -3*v - 3*t = 63. Put 0, 3, 2, v in descending order.\nAnswer: 3, 2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 532 and 1.\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 7 (c) 0.35 (d) 1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10062 divided by -53\nAnswer: 10062\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g**2. Let l(v) = v + 46. Let o be l(0). Let a be (14\/2 - -19) + 0. Let m(b) = a*b - o*b + 19*b. Give k(m(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6014 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 3580.\nAnswer: 17900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 497500 to the nearest ten thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.39 + -2.5. Let g = u - 1.7. Let l = -0.75 - g. What is l rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 18*t = -90. Suppose -20 = 11*a - t*a. Solve -a*c + 6*c - 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 133. What is the remainder when p is divided by (-19)\/38 - 2\/((-8)\/70)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 3\/6)\/(2\/(-28)). Let k = 502 - 355. Is 12 a factor of k\/(-6)*24\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -9. Let a = r + 31. Solve 3*g + 3*n - 5*n = a, 2*g = 4*n + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86128 and 43064.\nAnswer: 86128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (532\/(-2565))\/(-28)*(-15)\/(-6).\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 37?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*b**2*r**2 + b**2*r - 650*b**2 - 2*b + 9*r**2 wrt r?\nAnswer: -8*b**2*r + b**2 + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 10*q**2 + 9*q + 1. Let j be u(9). Let g be (0 - 4)*3\/(-18). Which is the closest to j? (a) g (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*(sqrt(156) - -2*sqrt(156))*-4)\/((sqrt(972)*-2 - sqrt(972))*-5).\nAnswer: -32*sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*f**2 - 20*f**2 - 612*f + 48*f**2 in the form v*f + d + u*f**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 43*k + 22*k. Let v(x) = -6*x**3 - x**2 + 1. Determine v(k).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 3)*(-3*v + v - v + (3 - 2*v - 3)*(1 + 0 + 1) - 2*v + 5*v - v - 3 + 3 + v + 65*v + 13*v + 101*v)*(0*v - v + 2*v).\nAnswer: -1050*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q - 340. Let j(k) = k + 171. Determine -6*a(l) - 13*j(l).\nAnswer: -l - 183","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 1 = 3*j. Let r = 2 + j. Let s(f) = 2*f**2 - 2*f - 1. Let z be s(2). Solve -4*y = -0*h - r*h - 33, z*y = 5*h + 31 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 166 = -5*t. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -26*x - 2. Let m be u(-2). Let s = 14 + -20. Let t be s\/(-15) + 192\/20. Calculate the highest common divisor of m and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1 - 10\/(-2) - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*j + 4, 3*j + 10 = 5*n - 0. Suppose -2*i + 4 = j, 2*i - 6*i - 32 = 2*l. Let r be l\/(-8) + 1\/2. Sort 0, -5, r in decreasing order.\nAnswer: r, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2*sqrt(72) + 0)**2 - (sqrt(72) - (sqrt(72) - (5 + sqrt(72)*2))**2)).\nAnswer: 54*sqrt(2) + 385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 0.5, 0.00368, 0, 1, 2\/9 in descending order.\nAnswer: 1, 0.5, 2\/9, 2\/21, 0.00368, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 equal to -509\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 158406490001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 49 - 21. Let h be 1494*(j\/4)\/7. Suppose 154*n = 151*n + h. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -188, 1 in descending order.\nAnswer: 2, 1, -4, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16292 - 32589 + 16297 - 40*k.\nAnswer: -40*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8786461381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-2)\/(-6))\/(4\/(-12))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4073553865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 853162 - 853162 - 1871*c**2 in the form d*c + y + a*c**2 and give a.\nAnswer: -1871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 5*r**2 + 3*r - 2. Let z be b(-4). Let h = 5 + -9\/2. Let o = -143 + 136. What is the third smallest value in o, h, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011011000000 (base 2) to base 9\nAnswer: -7881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10) - (-54052)\/5. What is s rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/2)\/(-2) + -3. Let l(d) = 6*d + 3. Let s be l(f). Let k be s*(0 + 2 + -13). What is the highest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10223900 rounded to the nearest 100000?\nAnswer: 10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2884 + 2885. What is the nearest to w in -0.08, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198247?\nAnswer: 7, 127, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 14\/(-2) - -35. Solve o = 9*j - j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(12\/(-2)))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 3, -2\/15, 1260, 14, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1183 greater than -6557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(72) + 3 + sqrt(72) + 1 + sqrt(72) + sqrt(72) + -3.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37.3 + 189.3. Let m = i - 153.74. What is m rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 0. Let m = -24.8 + 25. What is the third biggest value in -5, m, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 - 16*b + 47. Let k be w(3). Calculate the highest common divisor of 113 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1787*p**3 - 154*p - 6. Let k(z) = -19655*z**3 + 1698*z + 67. Let a(q) = 2*k(q) + 23*y(q). Find the second derivative of a(v) wrt v.\nAnswer: 10746*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594*y**3 - 1166*y**3 - 4*y**2 + 575*y**3 + 20*y**2.\nAnswer: 3*y**3 + 16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10707 - 96044\/9. Let i = 529\/9 - r. Calculate the common denominator of i and -28\/19.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 48535568 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154299110 is divided by 2449192?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 + 9300008 - 1\/1. Round c to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -3\/2 (b) 0.1 (c) -7\/12 (d) -136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010111 - 11000000011011011?\nAnswer: -11000000000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a + 63. Let p(w) = -8*w + 55. Calculate -6*l(d) + 5*p(d).\nAnswer: 2*d - 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 154, 310, 456, 586, 694, 774?\n\"Answer: -a**3 + a**2 + 160*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 1)*(5 - 3 - 3) - 1 - 1 + 1)*(-4*t + 5*t + 3*t)*(3 - 3 - 3*t**2).\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 1\/30*k**5 + 9*k + 1\/3*k**2 - 1\/18*k**4 + 0 - 1\/9*k**3. Factor v(b).\nAnswer: 2*(b - 1)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -14. Which is the third smallest value? (a) 1\/9 (b) -0.7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*w - 1801, w - 10 + 8 = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/j**4)*j*j**(-3\/8))\/(j*j**24*j\/(j\/j**6)) assuming j is positive.\nAnswer: j**(-219\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*i - 2*i. Let f be 32\/12*i\/(-2). Solve -3 + f*x**2 - 2*x**3 + 2*x + 0*x - 1 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122 - -12101203234?\nAnswer: 12101203112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18123*x**2 + 434946*x + 144.\nAnswer: -3*(x - 24)*(6041*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167473*j = 167460*j + 195 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 12*s - 124. What is r(13)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 2:03 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9 + 4. Let d = x + -1.9. Let z = 0.3 - 0.5. What is the closest to 1 in d, z, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 40*v + 146. Let m be i(-4). What is the closest to -2\/7 in -1\/5, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-1 - (3 - 6)). Let p(c) = 2*c**2 + 1 - 2*c + 13*c**r - 2*c**2. Let s be p(1). Solve s = -3*v + 8*v - j, 0 = -2*v - j + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.474 - 0.174. Let w = -13 + s. What is the biggest value in 1\/4, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 + 60584241 - 60584241.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 + 434*d\/3 - 5473\/3.\nAnswer: -(d - 421)*(d - 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23643 (base 8) in base 9?\nAnswer: -14824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2\/5 (b) -344\/3 (c) -1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**2 - 213*f - 144. Let x be p(-42). Sort -2, 1\/3, x, 6.\nAnswer: x, -2, 1\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 1. Let x = 7 + m. Suppose x*d = d + 10. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 4, -2, 0 in decreasing order.\nAnswer: 4, 2, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1270 + 1318. Let m be (-6)\/(-4)*(0 - i\/(-36)). Let k = 12\/7 + -50\/21. What is the closest to -0.1 in k, -2, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = 2*i. Let j(b) = -8*b + 2*b**3 + b**3 - 5*b**3 + 10 - 6*b**2 - i*b. Is j(-5) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -527512728 divided by 24127.\nAnswer: -21864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 224 + -227. Let s(a) = -a + 8. Let q(w) = 3*w - 17. Let v(b) = -6*q(b) - 14*s(b). Let y be v(f). Solve h = y - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d - 26*d = 35. Suppose d*m = 2344 + 2073. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176928 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 0 + 8*x - 9*x + 4. Let t(i) = -8*i + 70. Let m be t(8). Calculate a(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19457*o = -38901*o + 19448*o - 48, -5*a + o = 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5800*w**2 - 11668*w**2 + 5864*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a factor of 353268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 28 = -0*u. Suppose s = 5*c + u, -2*s + 5*c = s - 22. Solve 0 = -5*b - 4*g + 6 + s, -5*b + 4*g = -10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29352 and 77466043?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/13 (b) -35 (c) -8.8 (d) 2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78092, -156178, -234264, -312350, -390436?\nAnswer: -468522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: c4b5 (base 15) to base 9\nAnswer: 63018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2715 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -6. Differentiate 1 - 2 - 2 + 4*f**4 - a wrt f.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13198*p**3 - 867*p**2 - 2*p + 3 wrt p.\nAnswer: 79188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -420119+-158.8009\nAnswer: -420277.8009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-5) - 12\/20. What is the remainder when ((a + 16)\/1)\/1 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209 = -71*x + 52*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 133420 and 27770420.\nAnswer: 194392940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68017910 is divided by 9674?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**5*y*y)\/y**(-2\/5)*y**(-1)*y\/(y**(-7)*y))\/((y\/(y*y**(-3))*y)\/y**(2\/27))**(3\/17) assuming y is positive.\nAnswer: y**(9721\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280 and 719460.\nAnswer: 1438920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**3\/6 + 30*r - 10. Let b(f) = 142*f - 1. Give b(w(o)).\nAnswer: 142*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 1773?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 3. Let s(l) be the third derivative of -l**5\/60 + l**4\/24 + l**3\/2 - l**2 - 2*l. Let q(f) = i(f) + s(f). Let b(w) = 11*w**2. Calculate b(q(z)).\nAnswer: 11*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b - 3. Let f be y(15). Let x(o) = -39*o - f*o + 79*o. Let m(t) = -40*t. Calculate x(m(k)).\nAnswer: 80*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 522 divide 436914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8404 + -2180. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -855*m**3*v**2 - m**3*v + 3*m**3 + 2*m*v**5 + 2*v**2 + 159*v - 2 wrt v.\nAnswer: -1710*m**3 + 40*m*v**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -160 + 169. Let s = 359 - 359. Solve f + s = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -160 (b) 0.3 (c) -1\/3 (d) 2\/3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -419*-215\nAnswer: 90085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + 4.9. Let g = x - 4. Let p = 0.8 - g. Sort p, -0.5, 5 in ascending order.\nAnswer: -0.5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/16 - 7)\/(125\/(-20) + 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**9)**(2\/159)\/(l**(6\/11)\/l*l**(12\/13)))**(-11) assuming l is positive.\nAnswer: l**(2693\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14371740 by 2874348.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 410347.\nAnswer: 4513817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*u - x, 8*u - 4*x - 16 = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235, 474, 727, 1000, 1299, 1630?\nAnswer: 1999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**5 + 4*z**5 - 2*z**5 + (z**3 + 13*z**4 - z**3)*(-7*z - 2*z + 3*z).\nAnswer: -79*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1517 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46.8 + -43.3. Let q be (-33)\/(-22)*(-6)\/27. Which is the closest to q? (a) 1 (b) d (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.8173ng in tonnes?\nAnswer: 0.0000000000000288173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -91080 divided by 30360?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(1 + 0 - 4)*(-4*c + 2*c + 0*c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3353, -3173, -3013, -2885, -2801, -2773, -2813, -2933?\nAnswer: -3145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**4\/7 - 1747432*u**3\/7 + 3494882*u**2\/7 + 8737168*u\/7 - 10484616\/7 = 0.\nAnswer: -873718, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3715*c**2 - 2737*c?\nAnswer: -7430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3697*z**3 - 2267*z**2?\nAnswer: 22182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**9\/9072 - z**8\/1680 + z**7\/840 - z**6\/1080 - z**3 - 4*z**2. Let m(p) be the first derivative of d(p). Factor m(h).\nAnswer: h**2*(h - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168962?\nAnswer: 2, 84481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -5. Let f = h + -10.3. Let z = -0.30052 - f. What is z rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -741 = -5*c - 721, -10228 = -2*p + 3*c. Is 20 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 320 + -343. Let k be 4 + 0 + -1 + 23 + c. Factor 2\/7*p**4 + 48\/7*p + 18\/7 + 44\/7*p**2 + 16\/7*p**k.\nAnswer: 2*(p + 1)**2*(p + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1159*x**5 + 62898*x**2 - 144584102*x.\nAnswer: 23180*x**3 + 125796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w**2 - 41*w**2 + 14*w**2 + 2797*w + 14*w**2.\nAnswer: 4*w**2 + 2797*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 8:13 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1271407?\nAnswer: 349, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 20, -97, 4, -77?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 397 from -1.8.\nAnswer: -398.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4585 at most -375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17478072*f**4*p**2 - 63*f**2 - p**2 - 3*p + 21641 wrt f.\nAnswer: -419473728*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**2 - 21314*c + 7118*c + 7078*c + 7118*c + 12*c**2.\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7945484 is divided by 136.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 1 = 49 + 6. Let o(v) = -8*v**2 + 3*v + 4. Let h be o(-3). Let z = h - -537\/7. Which is the closest to -2\/7? (a) y (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/((sqrt(120)\/sqrt(2) + sqrt(60))\/sqrt(12)))\/(sqrt(8) + -3*sqrt(72) + -1*sqrt(512) + sqrt(512)).\nAnswer: -sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 3.2. Let u = t + -0.2. Put u, -5, -2 in increasing order.\nAnswer: -5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -95, -245, -419, -605, -791?\n\"Answer: 2*b**3 - 24*b**2 - 92*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 103*c**2 - 62*c**2 - 53*c**2 - 3*c + 3*c - c**2 + (2 - 2 + 1)*(2*c**2 + 1 - 1) + c**2 - c**2 - 2*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*(-10)\/(-60)*-35*(-15)\/50?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-1 + 0))\/(-3 + 5). Is l bigger than 1\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 44) + 0 - (-17 + 6 - (-8 + -4)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2\/11609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10829.\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -13.24. Let v = 0.07 - p. Let y = -0.11 + v. Sort -1\/2, y, -2 in descending order.\nAnswer: y, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-115 + 49 - -54) + (76 - -4).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4465.7 + -4468.2. What is the closest to 0.3 in g, -3, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - 53. Suppose -o*i = -9*i + 448. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 divided by -61?\nAnswer: -92\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, x: 1, y: 1, t: 1, w: 2}. What is prob of picking 1 t and 1 y?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 417817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 9 - 3. Let v(j) = -j**2 - 1. Let u(c) = -c**3 - 2*c**2 - c - 4. Let t(r) = k*u(r) + 4*v(r). Let t(n) = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6095171965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 614 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*m = -680 + 106 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60462977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 50492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 - -75. Let b = 18 - h. Let j be (2*1\/(-2))\/b. Which is smaller: j or -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((((d*d**(-4))\/d)\/d*d)\/d))\/d)\/d**(2\/7)*(d*d*d**(-5))\/d*d\/d**0)\/((((d\/(d*(d**(1\/3)\/d)\/d))\/d*d)\/d)**24)**(-4\/15) assuming d is positive.\nAnswer: d**(628\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*g + 12*g + 32 = -113. Solve 0 = -s + 3*z + 1, -g = -s + z - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/787662 and -131\/6?\nAnswer: 787662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 5. Give p(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 10:25 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -2, 13, 2, -15 in descending order.\nAnswer: 54, 13, 2, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 200\/34 + 2\/17. What is the second derivative of 56*x**5 + 25*x - c*x - 25*x**5 wrt x?\nAnswer: 620*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-2*l + 2*l + l) - 6*l + 23 - 23 + 2*l + 0*l + 0*l + (2 - 3 + 0)*(-6*l + 0*l + 5*l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3179\/5 or 17?\nAnswer: -3179\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g. Let u(r) = 24408135*r. What is i(u(f))?\nAnswer: 170856945*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - u - 13, q - 22 = 4*u + 2. Suppose q*j - 3*m = -4 + 72, 3*m = 2*j - 34. Calculate the greatest common factor of j and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 10*w + 21. Calculate the remainder when 47 is divided by r(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t + 1. Let y(s) = -4 + 4 + 2 - 1 - s. Determine -r(n) + 2*y(n).\nAnswer: -5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 16?\nAnswer: 35\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7274b - 5?\nAnswer: -72754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/58*19 + (-7)\/(17\/204*-42).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24816315 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 10*y - 228. Let q be g(22). Let k be ((-3)\/12)\/((-2)\/q). Which is smaller: 2\/41 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g + 3*g**3 + 5 - 7*g**2 - 4*g + 6*g + 0*g**2. Let d(r) = -3*r**3 + 8*r**2 - 6*r - 6. What is -5*d(f) - 6*u(f)?\nAnswer: -3*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/165 and -8\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 13106877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 6 + 8*r**2 - 21 - 128*r**2 to o + y*r + x*r**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 + (-56)\/16. Let m be (90\/(-36))\/(2\/y). Is 7 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 4, 22, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6 = -5*i, h - 3*i + 26 = -4*h. Let s(l) = -4*l**2 - 2*l - 2*l**2 + 7*l**2 - 1. List the prime factors of s(h).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145669637 is divided by 129.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**4\/9 + 2221*k**3\/9 - 47033*k**2\/3 + 2066579*k\/9 + 2209900\/9 = 0.\nAnswer: -1, 25, 41, 2156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 605?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-15*(-140)\/(-2625))\/((-28)\/530))\/(80\/(-70))\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6689735?\nAnswer: 5, 13, 101, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-4) - 87\/4. What is the units digit of (-162)\/a + 2\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 12:10 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 441843, 883680, 1325517, 1767354?\n\"Answer: 441837*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 3. Let f be n(-2). Let b(q) be the third derivative of -19*q**5\/60 - q**3\/6 - 83*q**2 - 2*q. Give b(f).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 - 56 = 11*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2951320672?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/90)\/(8\/(-280))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/2995 - 6004\/20965. Put 2\/5, -3\/8, p in decreasing order.\nAnswer: 2\/5, p, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0037599302 to 4 dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -237 at most as big as -233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Let i = 34 + -30. Let r(o) = o**2 - 7*o - 7. Let m(s) = i*y(s) + r(s). Calculate m(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14889?\nAnswer: 3, 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747680 is divided by 93325.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 705157233.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**3\/2 + y. Let b(r) = -3381*r - 3383*r - 3380*r + 10135*r. Determine b(p(w)).\nAnswer: 27*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1221 + -1229.51. Let y = b + -0.49. Let u = -8.999937 - y. What is u rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -217a68261 - 2?\nAnswer: -217a68263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -5. Let l = 65 + -64.8. What is the closest to 2\/3 in y, -1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -992*r = -190*r + 778*r - 64780 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53722, 53723, 53726, 53731?\nAnswer: 53738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2001 - 1905. Calculate the lowest common multiple of 12 and r.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*b**3 - 85*b**3 + 138*b**3 - 79*b**3.\nAnswer: -144*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*x + x**2 + 52*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-2 - -3) - (-7 - -4). Let w(y) = 0*y**2 + 3*y**k - y**2 - 5*y**2. Let x(m) = 2*m**2 + 0*m**2 + 0*m**2. What is w(x(o))?\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -67763?\nAnswer: -14\/67763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 17*v + 2. Let m be o(6). Let r = m + -62. Let g(p) = -62*p + r - 56*p + 117*p. What is g(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, u: 1, f: 4}. Give prob of picking 1 u and 1 x.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**3 + 10*l**2 - l + 11. Let q(s) = -s**3 + 1. Let k(r) = -o(r) + 2*q(r). Let g be k(10). Let a = 2 + -2. Which is bigger: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1050*r - 1057*r + 9912. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvvnv. What is prob of sequence nvv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 6 and -29377 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*2)**2*1.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (742\/(-1855))\/((-28)\/10). Let f = 4.96 + 0.04. Which is the nearest to -7? (a) f (b) j (c) 0.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (0 - 4) - (1 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016293113 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2677*a**3 + 5*a**2 + 9*a + 1. Is q(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570 is divided by 569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -15955 < -16055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 150 = -3*c. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00445447 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 12*r = 17502. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26204417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3262 = 4*o, -4*k = 15 + 9. What are the prime factors of o?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h = -30. Let b(x) = 4*x**3 + 6*x**2 - 5. Let q(g) = -9*g**3 - 13*g**2 + 11. Determine h*q(c) - 13*b(c).\nAnswer: 2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/5 - (3 + -2). Let g be -1 - q*(-1)\/2. Suppose k + 0*k + 3204 = 3*m, -4*k + 12 = g. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 56*a**3 + 2*a**2 + 2*a. Let p(k) = -k**2 - k. Let u be (-28)\/((-560)\/(-60)) - (2*-2 + -1). Determine u*p(m) + y(m).\nAnswer: 56*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 8:17 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2. Let y(r) be the first derivative of 13*r**5\/20 - 15*r**2\/2 - 7. Let q(a) be the second derivative of y(a). Calculate c(q(g)).\nAnswer: 3042*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30968*m + 4*m**2 + 10295*m - 8753*m - 9747*m.\nAnswer: 4*m**2 - 39173*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knnnknk. What is prob of picking 4 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*y**5 + 224*y**4 - 164*y**3 - 596*y**2 + 276*y + 468 = 0. What is y?\nAnswer: -1, 3\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a microsecond in nanoseconds?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4123 + 645. Let j = 5397 + y. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 7:21 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2))\/y)\/y*y**(-1\/4)*y\/(y\/y**4)*y\/(y**(-4)\/y*y) assuming y is positive.\nAnswer: y**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5\/3 + 180*b**4 + 14950*b**3 + 1058000*b**2\/3 = 0.\nAnswer: -115, -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 5122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + sqrt(192)*2*-3)\/(sqrt(400)*1*-2).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -6, -7, -3, 1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-40)\/(-238) + (-4)\/14. Let o = -0.135 + 4.135. Which is the closest to -0.1? (a) 5 (b) o (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**2 - 118*v + 26. What are the prime factors of y(30)?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14b9cc (base 15) to base 3.\nAnswer: -1212212102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -4. Let s be (-6)\/28 - 1\/y. Let i = -7.3 - -2.3. Sort 5, i, s in increasing order.\nAnswer: i, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -0.1. Suppose 17*m = -93 + 8. Let j be (-3)\/m - ((-48)\/20)\/6. What is the nearest to j in -5, r, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124581360 divided by 10381780.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from fffffffsfffs?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51395591 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*n + 443469 - 443559 - 16*n in the form x + s*n and give s.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.7 * -41490.\nAnswer: 609903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 648 = -5*n, 0*n - 648 = 4*d + 2*n. Let y = d - -230. Suppose v - 23 = -3*l, l + 0*v + 9 = 3*v. What is the lowest common multiple of l and y?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sse when three letters picked without replacement from shshahhsashehahhasha.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 3*y**2 - 3*y + 3. Let n be m(-4). Let p be (26 + n)*-4*(-5 + 4). Suppose -25*s + 21*s + p = 0. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 7 - 16 = 3*n, 5*y - 3*n - 9 = 0. Let v = -4 - -6. Factor 2\/5*j**v + y*j + 0.\nAnswer: 2*j**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -437495257.9 rounded to the nearest 100000?\nAnswer: -437500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 2:34 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 632672603 to the power of 1\/2, to the nearest integer?\nAnswer: 25153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242647 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -605*t**2 + 22372*t + 476. Determine o(37).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -4899 in ascending order.\nAnswer: -4899, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 2*v. Let l be w(2). Suppose l = 2*g - 3*g + 5. Suppose g*k - 6*k = -164000. What is k rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x**2 - 5*x + 4. Let v(w) = w**2 + 0 - 3*w + w + 1 + w. Calculate -m(i) + 5*v(i).\nAnswer: -4*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31934, -67707, -103480?\nAnswer: -139253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39\/11? (a) -2 (b) -0.6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -72*b - 18. Let y = 53 - 52. Let g be (12\/(-36))\/(y\/(-4))*-3. What is the units digit of u(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -161572\nAnswer: 1\/161572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92)\/552*12\/26.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4783 is divided by 4763.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f - j = 7, -4*f + 3*j = 19. Let q(k) = -k**3 - 2*k**2 + 2*k - 2. Is q(f) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/770 and -19\/1922088.\nAnswer: 105714840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(0\/(-4) + -2). Let w be -2 + x + (0 - -1). Is 0 != w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1982833?\nAnswer: 1982833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 36*i + 23*i - 77*i + 28*i. Let a(x) = x**2. Determine l(a(v)).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 34 = -42. Let a = m + -24. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202900 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g + 5. Let x be (-1)\/(-4) - 9\/4. Let t = x - -3. Let i(v) = -v - t - 2 + 1. Calculate 9*i(c) + 4*j(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1435 - -2994. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*k - 28 = 0, 0*t + 3*t + 2*k - 18 = 0. Solve 0 = -12*h + 8*h - t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from gggaggagrgggoggggnnn?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 1:33 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 3*c**2 - c - 8. Let s be t(4). Suppose 5*w - 137 = 2*l, -26 = -s*l - 10. Let h = 50 + -35. Calculate the remainder when w is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**3 - 4*c**2 - 8*c. Let f(t) = -t**3 + t**2 + 2*t. Let l(j) = -5*f(j) - u(j). What is l(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177630238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 divided by 9?\nAnswer: -101\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c + 26. Let i be f(-11). Suppose 9*z = i*z - 3*b + 390, 5*z - 5*b = 430. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 + 4 - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 1\/4*x**4 + 9*x - 3*x**2 + 0 + 0*x**3. Let o(f) = -5*f. Give -5*o(t) - 4*s(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 3. Let x(k) = -k**2 - 5*k + 3. Let z be x(-5). Let y be g(z). Let j(t) = 2*t - 4 - y*t + 5*t**2 + t**3 - 4*t**2. Give j(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + h - 3 + 6 + 0*h**3. Let k(s) be the second derivative of -s**5\/20 - 3*s**4\/2 - 17*s**3\/6 - 34*s. Let c be k(-17). What is x(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k - 10. Let b be r(6). Suppose -b*f - 90 = 4*t, -5*t = -2*t + 9. Let j be (-6)\/(-39) + (-306)\/f. Solve 25 = 5*c, 2*o + j + 6 = 4*c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2 - 202*a + 292. Give x(-69).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o = -35*o + 18. What is the third biggest value in o, 4, 2\/3, 17?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*39\/520*(4 + 18\/(-4)).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.82 + 0.12. Let m = k + 0.6. What is the third biggest value in 0.1, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287345687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/35)\/h**(3\/5))\/(h**(-13))**(1\/55))**(19\/2) assuming h is positive.\nAnswer: h**(-1539\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 2*v + 301. Let g be o(0). Suppose -7*z = -0*z - g. Let f = z + -40. Solve -2*d + f = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 5:01 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/4, -3, 2.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1428060746 + -1428060727.999999384. Let q = 18 - c. Round q to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8273900 to the nearest ten thousand.\nAnswer: 8270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.05 (c) 10654\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 8:36 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 17 + 5 = 0. Suppose 0 = -o*u - 10 + 82. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -7*c + 29 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 12 = -4*g. Suppose 2*m - 5 = 2*p + g*m, -3*p + 5*m = -25. Solve -5*i + p*i = 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 386*t - 1909. Calculate g(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 820 a factor of 1305440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 52232210.1ms?\nAnswer: 0.08636278125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.8 + -24. Let v(z) = -z**3 - 3*z**2 + 4*z + 2. Let x be v(-4). What is the biggest value in m, x, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644*d - 10850 = 137*d - 41777 for d.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-4 - (-8 + 3)). Suppose -g = -b, -o + 0*b + 3 = -b. What is the tens digit of ((-2)\/o)\/(6\/(-132))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 2)*(-1 - -3). What is the common denominator of 9\/36 + 154\/m and 63\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 5. Let g be o(-6). Let t(c) be the third derivative of c**4\/24 - c**3\/3 - 5*c**2. What are the prime factors of t(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**5 - 8*l**4 - 132929*l**3 - 691816*l**2 + 57*l?\nAnswer: 180*l**2 - 192*l - 797574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*z - h - h, 1 = z + 3*h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 11:56 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 8. Let c be s(-11). Suppose 0 = -13*h + c - 65. Suppose i - h*i = -456. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -11*p**2 - 3*p + 3. Determine u(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*k = -10, -2*z = -3*k - 2 + 7. Let q(y) = y**2 - 13*y + 17. Let x be q(12). Suppose -4*g - 8 = 0, -166 = -z*n + x*g + 24. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2119*h - 572123. What is q(-270)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4964485 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.09 + -3.22. Let n = 1.3 + -1.17. Let x = r + n. What is the third biggest value in x, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/(-308)*-4 - (-1552)\/(-35). Let j = -677\/10 - o. Calculate the common denominator of j and 10\/117.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*k + 16*k - 5 + 16*k.\nAnswer: -2*k - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f - 10*f - 11*f - 20*f - 7*f + 58*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 59 + 44 - 118 - 3*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 1. What is the second derivative of r**2 + p*r**5 - r - 7*r**5 - r**2 wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 8*j**2 - 6*j - 8. Let n be 7\/140*5 - (-27)\/4. Determine p(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -9. Suppose -v*m = 4*o + 18, -3*o = -0*o. What is the units digit of (-4)\/m*27\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5765 is divided by 828?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eiuvvieeevveeeeiieei. Give prob of sequence vuiv.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 20 = 0, -x + p = x - 985. Let g(b) = -2*b + x - 490. Let a(w) = -24*w. What is a(g(r))?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48.2 - 24. Let w = x + -29. Let r = w - 0.4. Round r to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 110*q**2 + 318*q + 5. Let u be a(3). What is the closest to -64 in -1, u, -3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggllnnznvg. What is prob of sequence nnv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 40*l - 7.\nAnswer: 40*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -491 divided by 491?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 5*s = 0, -1681*a - 48 = -1678*a - 2*s for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 93 + -92.7. Which is the second smallest value? (a) -5 (b) 2\/17 (c) m (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 1. Suppose 0 = 4*n - 3*n + 2*n. Suppose 5*j - 11 + 26 = n. Let l = j - -9. Determine c(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.6 times -0.5?\nAnswer: -44.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11126948 and 202164.\nAnswer: 3964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + p - 2*p = 2270, 4*p = 3*b - 1362. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13895 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 p(r) = 4*r - 2. Let o = 4 - 2. List the prime factors of p(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**(-31)\/(c*(c*(c\/(c**(-1\/2)*c))\/c*c)\/c)**(1\/3) assuming c is positive.\nAnswer: c**(-125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10213 times -2?\nAnswer: -0.20426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -30. Let b = t + 15. Solve -5*j = w - 20, -b*j + 6*j - 12 = 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-42)*21*(-3)\/(-60)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*v - 23, -4*v + o + 2*o = -67. Calculate the common denominator of 45\/11 and (v + -11)*4\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -474 and 70 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3518235 and 8541?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 1\/6*z**3 - 2*z + 0 - 3*z**2. Let n be s(5). Is n > -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {u: 10, l: 9}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -166*f**2*x**3 + f**2*x**2 - 11*f**2 + f - x**3 + 2*x**2 + 742*x wrt f?\nAnswer: -332*x**3 + 2*x**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)*j)**21*(j**1)**(-2\/55) assuming j is positive.\nAnswer: j**(3461\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245798 and 1338314?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18725.03ng?\nAnswer: 0.00000001872503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((77\/210)\/(-11))\/(36\/225)*3.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -511bab (base 12) to base 9.\nAnswer: -2342745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.12 - 7.12. Suppose -6*t + 282 = 294. What is the biggest value in x, -3, t, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 4\/3 (b) -1\/5 (c) -0.5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 198.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4348 - 896 = -19*c. Suppose 0 = 7*f - 11*f + c. What is the greatest common factor of f and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**2. Let a(w) be the first derivative of -2*w**2 - 5. Give a(v(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6509\/12 + 540. What is the second biggest value in 5, -2\/9, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/3, -2\/5, -1\/5 in increasing order.\nAnswer: -2\/3, -2\/5, -1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 29 = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1558648, -3117206, -4675764, -6234322?\n\"Answer: -1558558*u - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(84\/216 - (-2)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4541*d + 7. Let t be r(1). Suppose -t = -x - 2*x. Find the first derivative of 1521 + 6*f - 48*f - x wrt f.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*q - 123 + 123 to the form l + s*q and give s.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 955.000001688 + -955. What is j rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -50\/3*c**6 + 17 - 4\/3*c**3 + 0*c**2 + 9*c**4 + 0*c - 12*c**5. Factor d(p).\nAnswer: -4*p**2*(p + 1)*(5*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*c + 138336 = 1241*c for c.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -15*i**2 - 2*i**2 + 124526 - 124526. Let y(k) = -16*k**2. Give y(w(u)).\nAnswer: -4624*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5\/7 + 344*r**4\/7 + 3376*r**3\/7 + 5736*r**2\/7 + 2700*r\/7 = 0.\nAnswer: -75, -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 521 = w - 3*u, 0 = -5*w - 2*u + 2605. What are the prime factors of w?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37472862*u**3*v - 50*u*v + 25338*v wrt u.\nAnswer: -224837172*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*r - 1 + 4 = 0, 0 = 4*b - 3*r - 104. Suppose 126*m + 370 = 200*m. Solve 0 = -m*f + 2 + b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1))**(-2\/9)*s\/(s**(2\/11)*s)*s**(3\/4) assuming s is positive.\nAnswer: s**(25\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 2658800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4977175 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -645, -668, -793, -1068, -1541, -2260, -3273, -4628?\nAnswer: -6373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1090, -113, -3626, -9449?\n\"Answer: -1155*z**2 + 2262*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 276961115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -458, -676, -878, -1058, -1210?\nAnswer: -1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 6) to base 5\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8820 is divided by 210.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1.9. Let h = -47.48 + 0.48. Let d = h - -56. Is d smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/26 + 31\/182. What is the closest to d in -0.2, -0.4, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 7*x**2 + 420848*x - 420928*x + 1 in the form k + u*x**2 + m*x and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 843073333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1664135?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*1\/5*(1 - -218). Let f = 222 - k. Solve -f*j = -2*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s - 6. What is f(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/33? (a) 0 (b) -5 (c) -2\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 8)*(-2 + 2 + 1)*(945*b**2 + 49*b**2 + 182*b**2).\nAnswer: 7056*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)\/(y*y**(2\/7))*y\/(y\/y**(-3\/5))*y**(-3))**(-4\/23) assuming y is positive.\nAnswer: y**(824\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.14 - -12. Let x = 183.04 - 182.9. Let k = x + r. What is the second smallest value in 0.5, k, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.02 - -0.02. Let k = w - -9. Which is the closest to 0.3? (a) k (b) 0 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 1:32 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.004 (b) -4 (c) 2 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1744.5 + -1744. Let r = 3 + -3. Which is the closest to r? (a) 4\/3 (b) l (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0133 less than -33227897.6?\nAnswer: -33227897.6133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 4 - 7 - -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535 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: Calculate prob of picking 4 r when four letters picked without replacement from {m: 4, r: 10}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 199432*y**2 - 14936*y + 3?\nAnswer: 398864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**2 - 2*z + 2 - 8 + 2*z**4 - 2 + 6 - 4 as m*z**4 + r*z**3 + l*z + q + h*z**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 180\/27*21\/236. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 5*y + 350, 2*y + 274 = 3*g + 39. Suppose 10*n = 18*n + 14*n + 1122. Let o = g + n. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/(-259)*(-14)\/24?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6775 < -6772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**3 + 0 + 4 - 18*n**3 + 8*n**3 to m*n**2 + c*n + s*n**3 + y and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l**2. Let d(r) be the second derivative of 0*r**3 - r - 3\/2*r**2 + 0 - 1\/24*r**4. Let c(w) be the first derivative of d(w). Determine c(h(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13180*o**5 + 6898*o**4 - 113830514*o?\nAnswer: 263600*o**3 + 82776*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-112)*52 + 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55.04 + -55. Is i at least 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (143\/2)\/(4\/8). Let z = 171 - r. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/9)\/(230\/(-207)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/9945 and -50\/2431.\nAnswer: 109395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20bc1c + -4?\nAnswer: -20bc21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 - 8*n**2 - 2*n + 2. Calculate the lowest common multiple of v(-4) and (-4)\/((-24)\/27)*2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 16. Solve 4*c + 1 = -5*v - 21, 0 = 5*c + t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 + 3.02. Let h = -2.6 + p. Let k = 1438 - 7193\/5. Put k, h, 3 in increasing order.\nAnswer: k, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.879843219 rounded to one decimal place?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280713 is divided by 344.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-3419\nAnswer: -683.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21463.4km to meters.\nAnswer: 21463400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 12*v + 7. Let g be d(12). Suppose -u - g*u + 312 = 0. Let w = u + -27. Calculate the remainder when 58 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuk when four letters picked without replacement from {k: 17, u: 3}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 - -114. Let o(z) = 13*z**2 - 8*z**2 + 3 + v - 4. Determine o(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/30 and -35\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31908 - -31924. Calculate the smallest common multiple of 10164 and w.\nAnswer: 40656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1465*t**4 - 2681*t**2 wrt t?\nAnswer: 35160*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -984.453 - -984. Is v <= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 34 - 36. Let m(u) = -u**3 + 33*u**2 + 70*u + 3. Let n be m(b). Solve -2*v + 2*w = -6, v + w = -n*w - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 - 90ac4?\nAnswer: -90aaf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2287 is divided by 2083?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-4 + 27 + -8 + -8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -74?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51933.33 centuries?\nAnswer: 62319996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 248.4126 decades?\nAnswer: 29809.512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 12. Let d(v) = 4*v + 35. Let p(k) = 2*d(k) - 7*l(k). Let u be p(14). Solve -2*x = -u*x - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098480374.\nAnswer: 2, 103, 5332429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*q - 9, 0*q - 1 = -2*x + 5*q. Let c be ((-3)\/5)\/(14\/(-70)). Suppose 3 = -c*r + 4*r. Calculate the remainder when x is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 times 0.06\nAnswer: -7.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4 - 38. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 28*y + 241. What is the remainder when o(101) is divided by 179?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (42\/10)\/((-6)\/30). Let j = d - -21. Suppose -s + 0*l = 4*l + 13, j = -4*s - l + 8. What is the highest common factor of 15 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 483 and 81857?\nAnswer: 1718997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 2*r**3\/3 + r**2 + 23*r - 2. What is f(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*u, 0 = 5*c - 2*u - u - 26. Let v(g) = 4*g. Let m(r) = 8*r + 1. Let x(f) = -4*m(f) + 9*v(f). List the prime factors of x(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -12044\nAnswer: 48176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73935 and 4559325?\nAnswer: 13677975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m + 134. Let q be v(44). Suppose 0 = q*k + 2*a + 3*a + 1025, 4*k + 5*a + 2065 = 0. What is k rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1045 and 193985?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 15*a - 920 - 851 + 29*a - 15*a.\nAnswer: a - 1771","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 113, 169, 225?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 42*r**2 - 72*r + 390. Let k be h(6). Calculate the greatest common divisor of 30 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -66, 4, -4 in decreasing order.\nAnswer: 4, 1, -4, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 + 64\/((-75264)\/109466)?\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.23 + -0.23. Let q = v - 8. What is the smallest value in 0.1, 2\/9, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5158873?\nAnswer: 37, 139429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/94 (b) -0.1 (c) 618\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -11*i + 9*i. Suppose 2*p - 3 = 4*f - 5, 16 = 2*f + 4*p. Suppose 5*t - 46 = f*s - 13, 5*t = 4*s + 31. What is the remainder when i is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a factor of 84321600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -468, -702, -936, -1170, -1404?\nAnswer: -1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 2 = 7*y - 4*u, -3*y - 2*u = -5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v + 10 = 0, 3*v - 164 = -5*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/3, -2272, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.72819 grams to nanograms.\nAnswer: 18728190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/87542*-35*13.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -2 (c) 5 (d) -19.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/11 and 26\/817.\nAnswer: 8987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 + 68*z\/3 - 12688.\nAnswer: 2*(z - 122)*(z + 156)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*-9*(-4)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000313776 rounded to 7 decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2803, -3090, -3889, -5464, -8079, -11998, -17485?\n\"Answer: -44*z**3 + 8*z**2 - 3*z - 2764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -26*q - 19. Let v = -13 - -1. Is g(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 5 = -11*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*v + 4321 = 4699 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/1*(-6 - -4). Solve 0 = -c*l - 0*l + 4*t, 2*t = 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 59. Suppose 0 = 6*o - 1157 + 1187. Let t(k) = 4*k. Let a be t(1). Put o, a, y in increasing order.\nAnswer: o, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1442351318 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100 or 106?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 1212 = -3*o, -6*z + z + 1204 = 3*o. What are the prime factors of o?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/15)\/z)\/(z*z*(z\/((z*(z*z**(-3))\/z)\/z))\/z)*z**1*z*z\/z**4 assuming z is positive.\nAnswer: z**(-103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (10 - (42 + (1 - -16))).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 825 and -19.05.\nAnswer: 805.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101682\/5 - 20336. What is the nearest to 0 in w, 3\/5, 4, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3206851\/5 + 644379. Let o = q - 3073. Is o less than or equal to -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12630177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, s: 4, v: 7}. Give prob of sequence hss.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/2 + 19\/2*x - 33\/2*x**2 + 9\/2*x**3 = 0. Calculate x.\nAnswer: 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 - (-20)\/24. Let z = 1\/15 + 4\/15. Factor -y*v + 0 + z*v**2.\nAnswer: v*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.40563mg in micrograms?\nAnswer: 2405.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2)**(-9\/8)*g*g**(1\/12)*(g*(((g*g**(-1\/5)*g*g*g)\/g)\/g)\/g)\/g*g*g assuming g is positive.\nAnswer: g**(49\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91 and 37648?\nAnswer: 263536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16651 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 18*w**2 - 236*w - 510. Give x(-26).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 580 divided by 290?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -233*z**2 - 32. Let w be a(-14). What is w rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657 is divided by 3 + ((-4)\/14 - 455\/(-49))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*m + 188, -m + 376 = 4*h - 3*m. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*p - 159*p - 55845 = 0. What are the prime factors of p?\nAnswer: 3, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**5\/30 + 43*b**4 + 16641*b**3 - 4869*b. Factor o(z).\nAnswer: 2*z*(z + 387)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 3*w**2 + 2*w - 4. Let q be p(3). Let k be (0*q\/6)\/2. Suppose -28*v + 12 - 12 = 0. Solve -4*b - 3*z - 2 = k, v = -4*b + 2*z - 6*z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.088 rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 3*g - 151 = 4*a, 3*g + 129 = 3*a. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33010 (base 4) in base 14?\nAnswer: 4cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.6857534cm?\nAnswer: 0.006857534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 - (-8*5\/(-20) + -6) a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -24*k + 30. Give v(6).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 0*j**4 - 2*j**4 + 0*j**4)*(-110 + 80*j + 110).\nAnswer: -160*j**5 - 160*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, p: 2}. Give prob of picking 2 p.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t = -4*w + 2589, -5*t = -2*w + 1287. Suppose -3*z = p - 28, -3*p = 5*z - 4*z - 60. Calculate the greatest common divisor of w and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 12:01 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 415997 (base 10) to base 2\nAnswer: 1100101100011111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 12*j - 22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 2*c**2 + 5*c + 5. Suppose -12 + 15 = -3*j. Let y be (3 - (-4 + 3))*j. Let o be l(y). Is o smaller than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*z + 6787 = 16*z - 341. Solve 56 = -z*r - 43 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 65 and 26.07.\nAnswer: 1694.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 88411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 7 = 4*a + 12, a = -i - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715*t - 108 = -742*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.77? (a) -10 (b) 10 (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 16 = c - 2*c, 4*c - 11 = 5*b. Let u be 215\/(-18) + (-2)\/9. Let h = u - -23\/2. Sort -1, h, b in descending order.\nAnswer: h, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1577*a**3 - 2*a - 27 - 3*a**2 - 1578*a**3 - 29*a**2. Determine l(-32).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -10 - 5. Suppose 0 = n*m - 10*m. Solve 5*w - 15 = m, -k - 12 = -4*k - 5*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 318 or 316?\nAnswer: 318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z - 23. Let u be a(8). Sort -4, -6, 0, u in descending order.\nAnswer: u, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 25. Suppose 3*w = 2*w + 29. Let s = w - c. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-2)\/24*(-18)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 428 = 5*h + 258, -h - 99 = q. What is the smallest value in 0.3, q, -12\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 5440*a**2 - 27298*a + 130800.\nAnswer: 2*(a - 2725)*(a - 3)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*s - l, -3*s - 3*l - 3 = 3. Let j be 1\/((s + 1)\/(-2)). Solve j*g + 2 = 5*o - o, 2*o = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2. Let y be i(0). Let w = -23 + 93\/4. Find h such that -1\/4 + y*h + w*h**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*n - 107 - 31 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 182, -2\/11, -4\/7, -20?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + 4.8. Put 1\/4, u, -2 in increasing order.\nAnswer: -2, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -864 + 851 - (-22)\/(-2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(-6*(sqrt(931) + sqrt(931) + 1)*4 + (sqrt(931) - (1 + sqrt(931))*5) + 2*sqrt(931)*-1))**2.\nAnswer: -13578185 - 109620*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -76598?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 14859997 = 3*m, -5*i - 2*m = -2*i + 22290002. What is i rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29442 is divided by 44?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 = -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-431)\/(-7) - 14\/((-2352)\/72). Sort 6, -2, m in descending order.\nAnswer: m, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -915087*a - 739333 wrt a?\nAnswer: -915087","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6\/129)\/((-16422)\/(-61404))\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 56614, 2\/9, 1, 0.2 in decreasing order.\nAnswer: 56614, 1, 2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(225)\/sqrt(5) - 1*sqrt(245).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76 + 70 - (-1 - -1)) + 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 551653013 divided by 5\nAnswer: 551653013\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 13 = v. Is -13 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2990257.\nAnswer: 401, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/9 + 1910*d**4\/9 + 2534*d**3\/3 - 638*d**2 - 3804*d = 0. Calculate d.\nAnswer: -951, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 3*r - 5. Let v be x(-5). Suppose v*k = 2*k + 9. Let q = -82038.98 + 82039. Put -0.1, k, -3, q in ascending order.\nAnswer: -3, -0.1, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 0.2, 222, -3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.06149 minutes in days?\nAnswer: 0.1736538125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 7*z - 65. Let u be b(12). Let o be 3 - 0 - (u - 2)*-159. Suppose 0*p - 2726 = -2*y + p, -2*y - 4*p + o = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1890 divided by -30?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 24*g. Let k(i) = -94 + 57 - i + 37. Calculate 4*b(l) + 88*k(l).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1420204773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 170 - 75 - 29 - 65 - 44*t in the form d + r*t and give r.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**3\/3 + 9*k**2\/2 + 2*k + 6. Calculate the smallest common multiple of 22 and t(8).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - a + 170, -m + 4*a + 46 = m. Let v(r) = -r + 1. Let f be (-14)\/(-35) - (-42)\/(-5). Calculate the remainder when m is divided by v(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200140, 400278, 600416, 800554, 1000692?\nAnswer: 1200830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, -5548\/9, -1\/9, -2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135 - -1052344?\nAnswer: 1052205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 15*u + 40*u**2 - 73*u**2 + 34*u**2 + 16. Let o be t(-14). Suppose 0*a + a = f + 7, -o*a + 9 = -f. Solve -a*s + 0*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -398 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8.57+-148590415.5\nAnswer: -148590406.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 59354 or 59330?\nAnswer: 59354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3*b - 4*b + (5*b - 3*b - 3*b)*(1 - 1 + 2))*(-27*b + 0 - 38 + 26*b)*(-2*b**2 + 4 - 4).\nAnswer: -14*b**4 - 532*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23471, -23465, -23455, -23441, -23423, -23401, -23375?\nAnswer: -23345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1373998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnp when three letters picked without replacement from {g: 2, p: 1, n: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 16. Let p be h\/18 + (-25)\/(-9). Suppose 8*j - 103 = p*j + 3*x, -4*j = -2*x - 84. Is 23 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101012 + -1?\nAnswer: 101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31099702 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91*a**2*c**2 + 103*a**2*c + 199*a**2 - 2*a*c**2 - 61360*a*c - 25*c**2 wrt a.\nAnswer: 182*c**2 + 206*c + 398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/6)\/(1\/(-24)). Does 9 divide 1\/(u\/(-36))*-12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.2 + 26. Let i = 13 + -11.8. Let h = i - s. Sort -0.3, h, -1\/4 in decreasing order.\nAnswer: h, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 5 + 5)*(i + 0*i - 4*i) + (2*i - 4*i + 4*i)*(24 - 3*i + 4*i - 3*i) as m*i**2 + r*i + l and give r.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 11 - 119 - 22*r**2 + 2*r**3 + 22*r**2.\nAnswer: 2*r**3 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1429, -2775, -4135, -5515, -6921?\n\"Answer: -p**3 - p**2 - 1336*p - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 107.9999985 - 108. Round l to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 433103628.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 17 = 47. Suppose -4*f - a*d = 2345, -2*d + 1606 - 4546 = 5*f. Round f to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000048315 rounded to six decimal places?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21.6 and -0.23?\nAnswer: 21.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 17475*h**2 - 34986*h + 139848.\nAnswer: 3*(h - 5827)*(h - 2)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -171 or -512\/3?\nAnswer: -512\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/6)\/((-6)\/(-2)*(-3)\/(-18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 729241?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -67*n - 101. Determine q(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 3:49 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, -12, -49, -86, -123?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1507 + -1044. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m. Let w(s) = -5075423*s - 1. Calculate w(b(t)).\nAnswer: 15226269*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 7232 = -4*f - 7233, -3*v + f - 2*f + 11 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 1031253321?\nAnswer: -1031253325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u - 25 = 22*u. Suppose 2*i + u*y - 19 = 3*i, -3*y = -4*i - 8. Solve 5*b + 4 + i = -3*d, -3*d - 1 = 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 4. Let x be o(0). Let j = x + 21. Let t(h) = 58*h - 6305. Let c be t(109). Calculate the greatest common divisor of j and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(56)\/sqrt(7))\/((sqrt(4) + sqrt(16)\/sqrt(4))*-2).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.21 and 0.1113.\nAnswer: 0.023373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -472404 and 5.\nAnswer: -472399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -3*n + 8. Let k(s) = -3*s**2 + 7. Let j(w) = 3*k(w) + 6*y(w). What is the derivative of j(v) wrt v?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 - 0.45. Let x = -3.5 + 5. Let j = x + g. What is the nearest to -0.1 in j, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 - 115*c**3 + 705*c**2 - 1085*c + 490.\nAnswer: 5*(c - 14)*(c - 7)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7869 or 1?\nAnswer: -2\/7869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 159*j + 799. Let l be c(-5). Solve 2*b + 2*b + l*f + 16 = 0, -2*b - 2 = -f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165678 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: Suppose -5*g + 1685 + 306 = -2*d, -4*d - 1203 = -3*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t. Let h(n) = 6*n + 39893592. What is v(h(a))?\nAnswer: -6*a - 39893592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 23*c**2 - 14*c + 37. List the prime factors of z(9).\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.4779 to 1 decimal place.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*u - 3 = 0, -3*l - 3*u + 31 = 4. Let g = 13 - l. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.51 (b) 4 (c) -33\/16 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-20)*(-60)\/(-24))\/((-22)\/12)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 144 - 81. Let n(i) = -3*i. Let g be n(-3). What is the highest common divisor of j and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4101607 nanoseconds to milliseconds.\nAnswer: 0.0000004101607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9053)\/(-33) - 1*(-2)\/3. Find the common denominator of (0 - 28\/f) + 24\/132 and 121\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 13*h - 4*m - 208 = 0, 5*h - 9*h + 184 = -4*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2958581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 138389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 306*b = 307*b + 177, -7*y - 562 = 15*b for y.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28, -57, -94, -127, -144, -133, -82?\n\"Answer: 2*b**3 - 16*b**2 + 5*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62394, -249663, -561784, -998763, -1560606, -2247319, -3058908?\nAnswer: -3995379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -4051 - -4132. Solve 5*o - 4*x = -i + 92, x + 6 = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32b139 (base 12) to base 15.\nAnswer: -10e260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1536 - -135. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10309153.\nAnswer: 19, 542587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/4, 105, -3, -3\/5, 5, 4, -270?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28884.32559 rounded to the nearest one hundred?\nAnswer: 28900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g - 8*g - 5*g**2)*(4*g**2 - 2*g**2 + g**2)*(3 - 3 - 2).\nAnswer: 30*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135322 is divided by 46.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1452\/121*((-3)\/136)\/(-1)*(-14)\/(-21)\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 22*w - 3. Let c be i(3). Suppose 0*b - 165 = 5*b + 2*g, -4*b - 2*g - 134 = 0. Let d = c + b. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*z, -5*l - 3*z - 2*z = -30. Suppose l*h = -2*h + 52. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-27)*(-3)\/(-4)*-10. Let x be (0 + 1)*4\/2. Suppose -q*t = 2*l + x*l - 35, -25 = 5*l. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36446017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -23*u**2 + 17*u + 804. Let w(h) = -8*h**2 + 6*h + 268. Let f(y) = -6*a(y) + 17*w(y). Let o(v) = -v. Calculate o(f(k)).\nAnswer: -2*k**2 + 268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7098 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -282660\/13, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*k = -257*k - 36 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3*(-478)\/(-12))\/(1\/(-4)). Suppose -u = -2*v - 3*r, -4*r - r = 3*v - 716. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 249*k - 14495. Calculate l(149).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16 - (-40737)\/7) + (-1)\/(-7)*3 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4952466*g**3 + 1803550*g?\nAnswer: -29714796*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -7. Suppose -r = t - 10, 3*r - 38 = -r - i*t. Let c = -9 + r. What is the second smallest value in 4, -3\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 63, 64, 55, 30, -17, -92, -201?\n\"Answer: -s**3 + s**2 + 5*s + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/29060 and -59\/139488.\nAnswer: 697440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 12:56 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 5*m. Let p(j) = 0 + 71*j**2 + 0 - 73*j**2. Calculate p(w(n)).\nAnswer: -8*n**4 + 40*n**3 - 50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -118, -2 in descending order.\nAnswer: -2, -4, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -5985978 >= -5985978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzzrzzzzzzzrzzzz. What is prob of sequence rr?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2453*v**2 - 2448*v**2 + 4900*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.91 - 0.09. Let r = 1.98 + 0.02. What is the nearest to -0.1 in r, b, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, n: 5, l: 2, k: 8}. What is prob of picking 1 l and 3 n?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 16*k**2. Let n be w(-1). Suppose y - 3*h + 8 = 0, 15 = 6*y - 3*y + 4*h. Let c(z) = -2*z + 3. Let j be c(y). Solve 0 = -3*g + n - j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39, -141, -311, -549?\n\"Answer: -34*m**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*12\/8*8. Let l = r + 14. Let a(o) = -7*o**2 - 2*o**2 + 4*o**2 + o**l. Let y(k) = -k. Give a(y(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/1 - 90\/75. What is the biggest value in b, 30, -0.1?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 5*q**2 + 7. Let l(d) = d**3 - 4*d**2 - 5*d - 5. Let n be l(5). What is m(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 4, 72\/7, -0.01?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 2*c + 3*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3b (base 15) to base 3\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**8\/23520 + i**6\/2520 + i**4\/12 - 2*i. Let y(r) be the third derivative of w(r). Factor y(c).\nAnswer: -2*c*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -361763 (base 8) in base 10?\nAnswer: -123891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226 - (-46 + 295) - (61 + 0).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Suppose 0 = 5*s + 2*g - 487, s - 2*g - l*g = 93. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1 - 5 + 1 + 5 - 1 + 4 - 1 + (0 + 0 - 3)*(-1 - 3 + 2))*(-2*g + 5*g - 7*g) to y + t*g and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 673?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52375 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -4 (c) 1\/11 (d) -3 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15647352 to the nearest integer?\nAnswer: 3956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 26*-18.4\nAnswer: -478.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/187632 and 33\/20848.\nAnswer: 187632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5391279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 1 - -6)\/((-1)\/1). Put w, 1, -1 in decreasing order.\nAnswer: 1, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5175244212 divided by 6.\nAnswer: -862540702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*r**4 - 8\/3*r + 0 - 8\/3*r**2 + 2\/3*r**3 = 0. Calculate r.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4274978, 4274994, 4275008, 4275020?\nAnswer: 4275030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -395 - -589. Let k = a + -240. Is -46 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3, -4*h = -8*g + 3*g - 13. What is the second smallest value in g, 6\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1612227 is divided by 537312.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -564 divided by 6?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**5 - 2*i**4 + 2*i**3 + 2*i**2.\nAnswer: -2*i**2*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(75) + -2 + -3)**2.\nAnswer: -90*sqrt(3) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, u: 2, l: 11}. Give prob of picking 2 u.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-2)*(-40)\/(-12). Let j = -277\/8 + -73\/24. Let n = j + 38. Which is the second smallest value? (a) n (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 20*x**2 - x - 1. Let b be y(4). Suppose -m - 3*q + 95 = 0, 3*m = -0*q - 3*q + b. What is the greatest common factor of m and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -7*u - 0*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + -40 + -14 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*k**6 - 24*k**5 + 24*k**3 - 6258*k**2 wrt k?\nAnswer: 480*k**3 - 1440*k**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - x)*(x - 1 + 1) + (-1 + 0 - 2*x + 2)*(-x + 2*x - 2*x).\nAnswer: x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 2*s - 49. What is v(10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/905, -0.2, -0.01, 0, 0.026?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -138*o - 772. Let v be u(-6). Calculate the highest common divisor of v and 742.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*z**2 + 20\/7 + 22\/7*z.\nAnswer: 2*(z + 1)*(z + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 2 + 8*k**3 - 18*k**3 + 2*k + 0*k as w + x*k**3 + b*k**2 + z*k and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0 = -8. Solve -l*x = -0*x + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 12:08 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3651058 * -1\nAnswer: 3651058","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 divided by -5.\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**7\/21 + 2*d**6\/3 - 29*d**5\/10 + 10*d**4\/3 - 1889*d - 2. Solve c(a) = 0 for a.\nAnswer: 0, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, 0.28, 5, 0.3 in decreasing order.\nAnswer: 5, 3, 0.3, 0.28, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -8780645?\nAnswer: 1\/1756129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 j when three letters picked without replacement from qjjqqqq.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*d = 275067 - 278067 for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + (11 - (-5 - (-23 - -11))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 76 = 18*z. Let q(l) = l**3 + 19*l**2 + 11. What is the remainder when 31 is divided by q(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f - 36. Suppose 0 = -m + 4*z - f, 0 = -4*m + z - 2*z - 14. Let i be 3802 - (-3 - (m - 1)). What is i rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.316 - 26.816. Let q = x + 26.3. Put q, -4, -27 in decreasing order.\nAnswer: q, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 2*y + 2*v, 3*y + v - 10 = -27 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 45*p - 2. Let d be f(-29). Calculate the highest common factor of 165 and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**2 - 4*l + 1. What is the units digit of z(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-1)*(-37)\/(20350\/(-720)). Which is smaller: -0.2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + n**2 - 501*n + 229*n + 28 - 5*n**2 + 272*n.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -s - d, 8*s - d = 10*s - 209. Let p = -77 + s. Calculate the smallest common multiple of 3 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 3, n: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1219 - 149 + 1492 + 1220 - 760)*(-2*w + w**2 + 2*w) to the form m*w**2 + n + b*w and give m.\nAnswer: 3022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -216*d**2 - 6*d + 7. Let u be b(6). Suppose -2*r - 24185 = j + 20201, -5*j + 66605 = -3*r. Let z = r + u. Round z to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17904730 a multiple of 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -4, -19\/12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 20*u - 6. Suppose 203*n - 212*n = 0. Let f be d(n). What is the smallest value in 2\/25, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 21*j + 41828 = -b, -4*j + 5*b + 167309 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2342 - -133?\nAnswer: -2205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 24 = -m - 28, 70*i - 75*i - 30 = -5*m - 80 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {o: 1, p: 5, t: 3, r: 3, l: 7}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -189*h**5 - 4281*h**4 + 6348*h**3 + 5508*h**2 + 864*h = 0.\nAnswer: -24, -3\/7, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v**2 - 6*v - 6. Let i(n) = 11*n**2 - 5*n - 5. Let p(o) = 5*h(o) - 6*i(o). Let w(j) = 2*j**2. What is w(p(x))?\nAnswer: 512*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 30796 divided by 23\nAnswer: 30796\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*n - 12*n - 6*n**2 + (-1 - 5 + 4)*(-2 + 2*n**2 + 2).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4785.\nAnswer: 3, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-12)*3*(432\/(-186))\/(-24).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gozzzggzgvuugzzqgvg. Give prob of sequence vzvu.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 900*o. Let d(c) be the first derivative of 2*c**3 + 403. Determine u(d(a)).\nAnswer: 5400*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2393339775.\nAnswer: 3, 5, 5647, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2222387\/156 - -14247. Calculate the common denominator of z and 3 + (-138)\/42 - 5\/(3465\/(-786)).\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwjjwcjwccwjjjjcc. Give prob of picking 1 j and 2 w.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -2*h + 5*h. Let p = -14 - -24. Suppose 2*d - 33 = 5*o - 7, -3*o + p = 2*d. Calculate the least common multiple of h and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/87? (a) -1 (b) -0.12 (c) -3\/4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 - 87 = d + 2*u, -d + 4*u - 8 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1193489 + -1193422.6729. Let u = k + 0.7269. Let z = u + -67. Round z to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -5. Let h = -9 - w. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(208)*1*4 + -2 - ((sqrt(208) - (sqrt(208) + sqrt(208)*-2*-5 + sqrt(208))) + sqrt(208) - (5 + 1 + sqrt(208))))**2.\nAnswer: 2880*sqrt(13) + 280896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -13405534?\nAnswer: 13405533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28369505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5090 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: Let p(r) be the third derivative of -r**6\/360 + 31*r**4\/72 - 5*r**3\/3 + 3*r**2 + 143. Factor p(v).\nAnswer: -(v - 5)*(v - 1)*(v + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71770 (base 8) to base 2\nAnswer: 111001111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 3*v**2 - 4*v + 1. Let p be o(-4). Let l be p\/(-2*2\/(-36)). Solve -24 = -3*r - l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/13)*u*u)\/u)\/u**(1\/3) assuming u is positive.\nAnswer: u**(17\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93159.65 weeks to days.\nAnswer: 652117.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 6*k**5 + 1312*k**4 + 33310*k**3 - 299516*k**2 = 0.\nAnswer: -563\/3, -38, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 12\/16)*(-4 - -6)*218458 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, -12, -521, -1846, -4341, -8360, -14257, -22386?\nAnswer: -33101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2994 + -2993. Let n(j) be the third derivative of 11*j**4\/2 - 3*j**3\/2 - 3*j**2. What is the hundreds digit of n(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5008401*k**2 + 33*k - 817615981.\nAnswer: 10016802*k + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66311153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**6\/30 + y**4\/12 - y**3\/6 + 496*y**2. Suppose 5*m = 20, -4*t + m - 2 = 10. Let k be (-1 - t\/1)*1. Calculate g(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*g = -35, -3*a - 5 = g + 4*g. Let r(b) be the first derivative of -1 - 2*b - 1\/2*b**2. What is r(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 61 = 4*p, 52 = 5*r + 4*p + 141 - 46 - 34 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1592361356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 12*f + 3. Let u be x(0). Solve -3*p - 17 = -m, -u*m + 4*p = 2*m - 30 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 6*j - 1. Suppose 0 = 5*v - 18 - 7. Suppose v*n - j = 4. Calculate the greatest common divisor of n and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -150324\/31 greater than -4849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 171 - 168. Let r(f) = 27*f - 2. What is r(l)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/532341 and 29\/1064682?\nAnswer: 1064682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/170 - (-1986400)\/(-1217625)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520.47 rounded to the nearest 10?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-2*y**2 + 2*y**2 - 2*y**2) + 886 + 17*y**2 - 886.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*t - 52, t = -31*i + 36*i. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**4\/7 + 24642*j**3 - 3719013754*j**2\/7 - 11158248750*j\/7 - 7439062500\/7 = 0?\nAnswer: -2, -1, 43125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((187\/44)\/17)\/(2\/(-12)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-368)\/(-345)*(-75)\/(-180)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 2*t**2 - 5*t - 2. Suppose 5*v = -2*i - 26, 3*v = -19 + 7. Let g be c(i). Suppose -9 = -n - g. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831905?\nAnswer: 5, 379, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*j**2*s - 14320584*c*j**2 - 3*j**2*s - 128553*s**3 wrt s?\nAnswer: c*j**2 - 3*j**2 - 385659*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 5.1. Let n = 8 + -41\/5. Sort n, h, 0.3 in descending order.\nAnswer: 0.3, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2480312 (base 9) to base 6\nAnswer: 44550232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6823 + -6822.6. What is the closest to 0.5 in b, -1, -5, -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107.11 - -0.89. Let t = 109 - i. Is t less than or equal to 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 a factor of 3074256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 3 + 11. Sort -1, 230, 4, r in descending order.\nAnswer: 230, 4, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 + 64. Suppose 3*k = 12, u*y + y - k = -4. Let o be (3\/1)\/(-15 + 2). Which is smaller: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4331*d - 5*s = -4329*d + 3, -2 = 2*s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5672? (a) 0.03 (b) 12 (c) 3 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/40)\/((-3)\/4). Let m = 4 - 0. Let y be ((-6)\/10)\/((-6)\/m). What is the closest to y in r, -2, -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*h**2 + 1000 + 1011 + 796 - 65 + 40*h**2 to c*h + b*h**2 + i and give i.\nAnswer: 2742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1.8. Let u = 503.78 - 504. Let l = u - i. What is the third smallest value in 2\/3, 4\/5, l?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1443*t**2. Let g(u) = 2*u**2. What is i(g(a))?\nAnswer: 5772*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(720\/(-1176)) - (-2)\/(-12)) + -25\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3040\/2787 or 2?\nAnswer: 3040\/2787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.40385 to 1 dp.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1113790000 rounded to the nearest one million?\nAnswer: -1114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -238*((-343)\/(-14))\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7 + 2*d - 5 - 4. Let n = 26 - 15. Calculate the smallest common multiple of r(12) and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*q = 2752*q - 7554 - 10338 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 913674.7 decades to centuries.\nAnswer: 91367.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 76812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 14, 5, 0.1, 2\/5 in descending order.\nAnswer: 14, 5, 2\/5, 0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 13*v**2 - 15*v. Suppose 7 - 40 = -3*g. Is x(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 1. Let a be u(-3). Let l = 39 - 37. Suppose a = 3*v + l*v. Solve v = -2*y - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18127\/846 - -33\/94. Let q = x + -2099\/72. Find the common denominator of -55\/8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*d - 18, -25 = -6*d + d. Suppose -m*a + 30 = -3*a. What is the units digit of (14\/a)\/(3\/9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 1\/3 (c) -3 (d) -2\/13 (e) -0.5 (f) -0.3 (g) 32\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*a + 10798 - 11862 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(32\/52) - (-9)\/24. Factor 890 + 30*t + 35*t**c - 890 - 5*t**4.\nAnswer: -5*t*(t - 3)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -509 - -569.8. Let f = w - -20.2. Let j = 81.0000114 - f. Round j to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1778 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*k = -58, -3*y + 2*k = -k - 54. Let x be y\/(-24) + (2 - 30\/27). Solve -4\/9*f + x*f**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 2958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*g + 45*g - 183 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45\/2 - -23. What is the nearest to i in -1\/7, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*g**3 - 3*g**2 + g**2 - 267*g**3.\nAnswer: -13*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urr when three letters picked without replacement from {p: 1, u: 3, r: 5, k: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 26*a**2. Let u(y) = 19*y**2 - 8*y - 6. Let r(c) = -21*c**2 + 9*c + 7. Let d(g) = -6*r(g) - 7*u(g). Determine d(n(t)).\nAnswer: -4732*t**4 + 52*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6193, 12264, 18093, 23560, 28545, 32928, 36589?\nAnswer: 39408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (32 + 19203\/(-1036) - 15\/70)\/(1\/(-8))\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7216\/4059 + ((-38)\/18 + 2 - 0). Which is the nearest to -2? (a) -0.16 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66580, 134037, 201482, 268909, 336312, 403685, 471022, 538317?\nAnswer: 605564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 3 - 3 + (1 + 9 - 9 + (4 + 2 - 7)*(-3 - 2 + 1))*(-4*t - 10*t - 16*t) as k + w*t and give w.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/60 and (60\/(-216))\/(0 - 2\/14).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23\/38 + -89\/418. Which is the second smallest value? (a) z (b) 0.2 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = -18*x + 18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98.7926 - -98.7. What is v rounded to 3 dps?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-630)\/48 + 13 - 25\/(-8). Which is the third biggest value? (a) -0.23 (b) -1\/4 (c) g (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2199 = -16*r + 2661. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iih when three letters picked without replacement from {s: 2, h: 2, i: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 71754, -3, -28 in decreasing order.\nAnswer: 71754, 2, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.65 - 0.15. What is the closest to 2\/7 in -5, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2031100 - -21112130?\nAnswer: 13021030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**0)\/x*x*x*(x\/(x*x**6*x))\/x*x*((x**(1\/4)\/x)\/x)**(-1\/2) assuming x is positive.\nAnswer: x**(-33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 != 2432240702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -37.2. Let m = -4 - d. Let a = -0.38 + 0.08. Put -2, a, m in decreasing order.\nAnswer: m, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.497 - -0.193. Let d = j - 8.6582. Which is bigger: 0.1 or d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 2*k**2 - 8*k. Let q be m(-4). Suppose s - 53 = -0*s. Let g = q + s. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 6. Suppose l + l - 4 = x, -3*x - 4*l + 8 = 0. Give s(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 119, 110, 89, 50, -13, -106, -235, -406?\n\"Answer: -f**3 - 2*f + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 223021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87442198?\nAnswer: 2, 109, 211, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4651 and 234080179.\nAnswer: 4651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -85*c**2 + 2860*c + 6060 = 0.\nAnswer: -2, 606\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1105229, 1, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -554 - -804. Find the common denominator of -31\/3 and (-5)\/8*10\/p*415.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13993470 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1172815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275158610*z + 275158419*z - 764 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 4*q + 7*q)*(-1 - 1 + 3) + q - 4*q + 4*q + 74 + 8*q - 74 + 4*q + 4*q - 6*q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2. Let q be -3*((-49)\/(-12) - 4). Which is the closest to l? (a) -2\/13 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1783189.\nAnswer: 1783189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 11*l - 14 = 0. Let s = l - 5. Let t(a) = 4*a - 6. List the prime factors of t(s).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - x - 5 = 0, 3*x = 5*j + x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413*t + 2 + 10 + 3 - 6 - 6.\nAnswer: -413*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 624887?\nAnswer: -624890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0266495 and 180397.\nAnswer: 180396.9733505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/144 in 29\/34, -0.5, -1.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99134 and 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 219 - 2839\/13. Let c(t) be the first derivative of -32\/13*t + 16\/13*t**2 + 14\/65*t**5 - 3 - 1\/39*t**6 + 16\/39*t**3 - j*t**4. What is d in c(d) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 12:28 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/128*-1*6\/(-5).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - j)*((3 - 2 + 1)*(1 + 0 - 2) + 4 - 3 + 1 + 3271 + 2758 - 5433) in the form d*j + a and give d.\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 3. Let j be s(-7). Let n = j + -6. Find the second derivative of c - 6*c**5 - 2*c**n + 2*c**4 + 5*c**5 wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 2\/5, 4, -0.2, -6\/77, 89?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -5. Suppose 2*i - 10 = -f*i. Suppose -i*c - b + 162 = -5*b, -4*c - 5*b + 389 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 5. Let i(s) = -2*s + 11. Give 9*b(r) - 4*i(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 17*k**3 + 1.\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*v + 336 = -278*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*28\/(-12) + -28 + 3580.\nAnswer: 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 270705304?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 350*i**3*m**2 + 2*i**3 - i**2*m + 38*m**2 wrt i?\nAnswer: 2100*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 56*x**2 - 3*x - 2. Suppose -5*f + 4 = -3*f. Let l be 2 + (f + 4)\/(-3) - 1. Is r(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34965 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 65.9? (a) -3 (b) -2\/3 (c) -0.1055 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7268199 smaller than -7268199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12527.03 rounded to the nearest one hundred?\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/28 and 44\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10 + 2*t**3 - 1 - 1 + 7 wrt t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 22*g. Let p(w) = -136*w. Give p(h(d)).\nAnswer: -2992*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(216)\/sqrt(2)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*l - 4*c, 3*c = 4*l - 30 - 6. Suppose 3*y + 24 = l*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 12. Let b be (-19)\/5 - -3*3\/(-45). Let t be w(b). Sort 2, t, -3, 4.\nAnswer: t, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -208, -426, -644, -862, -1080, -1298?\n\"Answer: -218*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -197\/359940 and 43\/1799700.\nAnswer: 1799700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 3:31 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.8714104 seconds?\nAnswer: 871410.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0542 take away 29074111?\nAnswer: -29074111.0542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4241, 16989, 38225, 67949?\nAnswer: 106161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*z + 14, -18*d + 7 = -2*z - 21*d. Suppose 0 = 4*l + 4, -9 = y + y + 3*l. Let a = y + 10. Solve -2*s = -z + a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11120 (base 8) to base 3.\nAnswer: -20102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7548303335 to the power of 1\/2, to the nearest integer?\nAnswer: 86881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**17*f)**(-11\/4)\/((f*(f*f**(1\/22)*f*f)\/f)\/(f**24\/f)))**(-12\/13) assuming f is positive.\nAnswer: f**(4626\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2126*g**2 - 95*g - 383. What is the units digit of l(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 8:41 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-11\/5))**(-13)\/(k*k**(-1\/4))**(-2))**(-12\/7) assuming k is positive.\nAnswer: k**(-258\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 555577 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: Suppose 4*c + c - 5*u = 0, 3*c - 16 = -5*u. Let s = -0.06 - -0.36. What is the nearest to -0.1 in c, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(84\/18) - ((-22)\/4 - 8).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*d + 73*d = 9*d + 1136 - 303 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -87\/34 in 0.5, 3, -29?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121248 and 936.\nAnswer: 1576224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 + 84. Solve -s - s + l = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.072? (a) 1\/17 (b) 0.1 (c) -4\/3 (d) -4 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/49)\/(((-495)\/105)\/11).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 334\/835*(-10)\/36?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6363.\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 smaller than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - 1000?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 - 66*a**3 - 510*a**2 + 578*a.\nAnswer: -2*a*(a - 1)*(a + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + d + 2*d + 99208, -5*r + 99202 = 3*d. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/57 (b) -7\/43 (c) 11 (d) -121\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.001467 and -0.011?\nAnswer: 0.000016137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-2*q**2 - 7*q**2 + 5*q**2)*(209*q**2 - 7*q**2 + 69*q**2).\nAnswer: -1084*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 1\/422, -5.2, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.274 - -0.074. Put 0.2, 0.3, -0.3, t in increasing order.\nAnswer: -0.3, t, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171977755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 8*a - 10. Let v be p(-1). Let b be v\/2 - (-6734)\/(-52). Let z = -86 - b. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-450)\/42)\/(-1)*(-81)\/(9234\/(-532))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(1\/8)*o))\/o**6)\/(o\/o**1)**(1\/9))\/((o**(-2)\/o)**(-18))**(-3) assuming o is positive.\nAnswer: o**(1247\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7406*h**3 + 5281.\nAnswer: 22218*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-2 + -1 - -5) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w - 155 - 30 = 0. Solve -4*c + 9*c - w*u = 35, -22 = -4*c + u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(70) + sqrt(70) - ((sqrt(70)*-2 - sqrt(70))*1 - sqrt(70)))\/(2*sqrt(810) + sqrt(10) - ((sqrt(80)*2)\/sqrt(8) + sqrt(10))).\nAnswer: 7*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**0*x)**(-5\/2)\/((x**2*x)\/x**(-4)))**(-4\/29))**(-18) assuming x is positive.\nAnswer: x**(-864\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5379\/75566?\nAnswer: -5379\/75566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 4*r, 14*f = 9*f + 4*r + 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 54 = 78. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52629 is divided by 199?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34\/15*v**2 + 64\/15*v + 8\/5 + 4\/15*v**3.\nAnswer: 2*(v + 2)*(v + 6)*(2*v + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133*t**4 + 587*t + t**3 + 64*t**2 - 22*t**2 - 24*t**2 - 18*t**2 wrt t?\nAnswer: -1596*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*y - 9, -h = -2*y + 3. What is the second derivative of -17*k - 15*k + k**h + 3 - k**2 - 3 wrt k?\nAnswer: 20*k**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 3242*f + 19524.\nAnswer: -2*(f - 1627)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 9. Suppose d - s*d = 0. Let z(n) = n + 34. Is z(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -6, 3, -2.\nAnswer: -7, -6, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*i - 32*i + 3828 = 0. Calculate the remainder when 1140 is divided by i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 100700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/3959843 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - o - 136 = 0, 4*b - 188 = o - 3*o. Suppose n = 3*i + b, -4*i = -2*n + n + 42. What are the prime factors of n?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0325 and 0.14?\nAnswer: 0.00455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*f + a, 3*a = -4*f + 2*a + 8. Suppose -2*r - 3*p = 2*p + 8, 5*r + f*p = 18. Calculate the lowest common multiple of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 300, 606, 1016?\nAnswer: 1530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-70)*(525\/(-100))\/((-3)\/8).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -16) + (-9639)\/612\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05914 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 170205 to the power of 1\/2, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 104692 divided by -52346\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = g + 4. Let i = 268 - 14742\/55. Is i smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 0.4, 4 in descending order.\nAnswer: 4, 2, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1*(sqrt(176) + 0 + sqrt(176)*-1) - (sqrt(176) + 2 + -1)*5)*3)**2.\nAnswer: 1800*sqrt(11) + 39823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 10*w = -160. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149 divided by 2680.\nAnswer: 149\/2680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11152*a**3 - 5956 + 1932*a**3 - 1342*a**3 with respect to a.\nAnswer: -31686*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -11. Suppose q*u = 2 + 10. Let r(d) = -2*d - 2. Give r(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25631142 and 1263507.\nAnswer: 179417994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -324, -337, -364, -411, -484, -589, -732?\nAnswer: -919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 237712 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - l + 0*l)*(4 + 1 - 3)*(0 + 0 + 5) + 5 - 6*l - 5.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 7*v - 4. Let n be u(8). Suppose 0 = n*x + r + 7, 6*x - 2*x + 4*r = -16. What is the third biggest value in x, 1, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 11*v + 14 = 7*v, a + 7 = -3*v. Suppose -5*r - 14 = a*n - 0, -3*n + 5*r + 29 = 0. Solve 5*c + 12 = l, -3*l + 0*c = n*c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14772502 and 22.\nAnswer: 162497522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(88) + (sqrt(88)*1 - sqrt(88))) - sqrt(88))\/((sqrt(968) - (sqrt(968) + 2*sqrt(968))) + sqrt(8))*3)**2*2.\nAnswer: 550\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 29 - (13 - 5).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mclc when four letters picked without replacement from {m: 5, l: 2, c: 9}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27028.33 centimeters in meters?\nAnswer: 270.2833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 minutes before 1:51 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 40 = -3*b, 0 = -4*k - 2*b - 73 + 41. What is the second biggest value in -0.1, -132, k, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 563, 566, 569, 572, 575?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.45 - 1.8. Let c = y + 5.25. Let m = c + -4.9082. Round m to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 8*p**2 + 7*p + 10. Let q be v(7). Let g be (-2)\/((-6)\/q + 1). Let j(b) = 2*b**2 + 3*b + 2. What is the tens digit of j(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -o, -2*z - 5*o = -2*o - 13. Let t(v) = 2*v - 15. Let b be t(6). Let i(c) = -c**2 - 7*c - 10. Let h be i(b). Solve 0 = -3*p + z*p + h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*((-2*sqrt(77))\/sqrt(7) + (1*sqrt(396) - sqrt(396))**2).\nAnswer: -36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rygaz. Give prob of sequence gza.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-4 + 17 - 24)) + -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*h = -44*h - 4. Solve -h = -2*x - 0*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -447.08 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2264261 + 4?\nAnswer: -2264254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 2:58 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (141 - 3) + -1*2 + 4.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*b + 1840 = -160*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 3. Let u(s) = -5*s - 6 + s**2 + 13 + 0*s. What is the least common multiple of 4 and u(i)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -2\/13, 6\/7, -1\/5 in descending order.\nAnswer: 50, 6\/7, -2\/13, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-215676)\/(-432) - (-6)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4261436 and 3273644?\nAnswer: 6332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvsvvvsvvv. What is prob of picking 1 v and 1 s?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 204582 to the power of 1\/2, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w**2 + 7*w**2 - 21*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -17239506?\nAnswer: -17239505.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5150881 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 divided by 2362.\nAnswer: 49\/2362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1327284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 440966 or 440943?\nAnswer: 440966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*v + 7*f, v = -2*f. Let i(y) be the third derivative of 0*y + 1\/90*y**5 + 5*y**2 - 1\/360*y**6 + 0 - 1\/630*y**7 + v*y**3 + 0*y**4. Factor i(p).\nAnswer: -p**2*(p - 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*f + 50*f - 1270. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 4*t + 0*t - 124 = -0*j, -139 = j - 5*t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -496783 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 41. Let f = -8 - q. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, -31125, -5 in decreasing order.\nAnswer: 8, 2, -5, -31125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -36. Suppose l = -4*l + i. Suppose -5*u - 9 = -l*g, 5*u + 2 + 14 = 3*g. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 g, and 1 c when three letters picked without replacement from {g: 6, z: 5, d: 1, x: 2, c: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1545.02748 - -1545. Let d = x + 0.037. Let b = d + -0.01. What is b rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, g: 2, a: 1, v: 3, y: 1}. What is prob of picking 2 g and 1 a?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + s + 19 = 5*l, 12 = -3*s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 + 1 + 3 + 1 - 2 + 0 + 0 - 2 + (0 - 2 + 1)*(-3 + 0 + 1) + 1 - 2 + 0 - 1 + 0 + 3)*(0*k**5 + k**5 - 2*k**5).\nAnswer: -11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 183408 + -124531. Calculate the greatest common divisor of o and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 130.188689 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.05 (b) 66 (c) 0.64 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (18*u**2 - 12*u**2 + 11*u**2)*(2 - u**2 - 2).\nAnswer: -17*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -n - 54. Calculate the common denominator of n\/6 - 94\/(-18) and (-89)\/8 + -1 - -2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.18 - 0.27. Let z = -0.59 - s. Let t = -6.2 + 1.2. What is the second biggest value in z, 2\/11, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.004 - 0.374. Let s = 0.31 + p. Let z = s - -1.06. What is the closest to 0.1 in 0.5, z, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/21)\/(3\/(-6)). What is the nearest to 1\/2 in x, 14, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Let z(g) = 208*g. Give -364*a(h) - 2*z(h).\nAnswer: -52*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4922 < -4921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2085 - 2046. Let c = -3 - -11. What is the remainder when u is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -540 = 44*n - 71*n. Calculate the remainder when 175 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4140)\/(-168))\/115*(-1 + 25\/(-30) + 3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 11*f + 9. Let r be t(-11). Suppose -r - 21 = -3*m. Let s(p) = 4*p + p - 3*p + 1 - 3*p + m*p**3. Give s(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(153) - (2*sqrt(153) + sqrt(153))))\/((sqrt(72)\/sqrt(4))\/sqrt(2)))**2 + (2*sqrt(7344))\/(sqrt(3) - (-2*sqrt(192) - sqrt(192))).\nAnswer: 24*sqrt(17)\/25 + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3108505*k*n + 5*k - 225301 wrt n?\nAnswer: 3108505*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -8*t**2 + 76*t - 2. Determine k(8).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -43. Suppose 0 = d*u - x - 8, -3*x - 14 + 4 = -2*u. Solve 2*b + 5 - 16 = -5*k, 4 = b + u*k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2697\/(-58)*(-36)\/558.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c**3 + 1819820898*c + 3*c**2 - 1819820898*c.\nAnswer: -14*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-22) + -5 + (-604)\/(-8) + 6)\/2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -432, -6470, -16530, -30612?\nAnswer: -48716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3044*n + 3047*n - 6093*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3 = -5*c, 3*c - 10*z - 1 = -8*z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12160*x + 68*x**2 - 12160*x)*(206*x - 19 + 14 + 5).\nAnswer: 14008*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.1 (b) 59330 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -604639, -604650, -604661, -604672?\nAnswer: -604683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(-2\/13)*l)\/l**(-2\/21))\/(l*l\/l**(-2\/3)*l)**9)**(2\/21))**30 assuming l is positive.\nAnswer: l**(-169580\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**3 - k**2 + 4*k - 4. Determine w(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5504\/129 - -18)*(-3)\/(-7). What is the highest common divisor of m and 77974?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 22, -5, -2 in descending order.\nAnswer: 22, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 127 = 2*d, -r - d + 12 + 12 = 0. What is the highest common factor of r and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10*-6*((-6)\/(-2))\/12.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.2, -3\/4, 0.86, -9, 0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(84\/(-65))*(-49)\/(-42) and (-1)\/(-6)*224\/(-6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 2. Let x(n) = 2*n**3 + 9*n**2 + n + 28. What is -t(k) - x(k)?\nAnswer: -2*k**3 - 9*k**2 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/26 and 801\/(-21)*(91\/42 - 2).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(475) - sqrt(475)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 3 + -4 - (1 - (-152 - -40)) - -3?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0721*0.28.\nAnswer: 0.020188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 0 + 0)*(3 + 0 - 5)*(-2*y + 7*y - 4*y)*(29*y**2 - 3*y + 3*y).\nAnswer: -174*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2. Let g(x) = -1543*x**2. What is g(l(k))?\nAnswer: -1543*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.49 - -8.46. Let g = w + -35. Let y = 1.35 + g. Is y not equal to -1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.98 and -2968.\nAnswer: 26652.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 + 71 - 213 + 74 + 2344*r**3 - 2338*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13601, 14468, 15903, 17906, 20477, 23616?\n\"Answer: 284*d**2 + 15*d + 13302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9930.\nAnswer: 2, 3, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 32*t - 71 + 5*t.\nAnswer: -27*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9891000\/467075 - (20 + 1).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - x - 6, i = -5*x - 13. Suppose -3*r + i = -r. Let p(f) = 21001*f**2 - f. Let l be p(r). What is l rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 22*d - 5. Suppose -3*c - 2 + 38 = 3*y, 0 = -2*c + 2. Let a be l(y). Let t be (a + 7)*(-3)\/6 - -10. Solve 1 = 4*k + t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 84, 91, 98?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwwwppwwppwppppwnn. Give prob of picking 2 p.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 152 = -32*l + 12*l. Sort 0, l, 71 in increasing order.\nAnswer: 0, l, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8307 is divided by 54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 534 by 267.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 3:14 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*o - 51*o = 10. Solve 4*r - 8 = 2*r + s, -4*s - 23 = -o*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 926 is divided by (60\/(-39))\/((-48)\/936)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19372477.33 to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 + 2*r - 2. Suppose -86*d - 64*d = -1056 + 306. Suppose 0*q = -4*q + 8. Let c(l) = 4*l**3 - 5*l + 5. Give d*x(g) + q*c(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20172)\/(-24) - (-1)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 2*z**2 - 8*z + 8. Let p be n(4). Let q = 5 - -3. Let h be ((-54)\/q)\/(6\/(-16)). What is the highest common divisor of h and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-4) - (91637\/(-212) - (7 - -2)) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -671, -1376, -2235, -3326, -4727, -6516, -8771, -11570?\n\"Answer: -13*u**3 + u**2 - 617*u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -624203*1.\nAnswer: -624203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-236)\/295*(-2)\/(-4))\/(10 + (-66)\/6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57307 + -57291. Let l be (-870)\/(-27) + 4\/(-18). Calculate the greatest common factor of t and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.64 + 0.36. Let r = u - 16. Which is smaller: r or 12?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/3*(-6)\/9. What is the remainder when 0*(-2)\/a + 86 + -9 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/45)\/(y*y**24\/y) assuming y is positive.\nAnswer: y**(-1079\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**(-21)*(j**(-1\/2)*j)**12 assuming j is positive.\nAnswer: j**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 11) to base 12.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (5 - (13 + 11))) + 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -93, -11 in descending order.\nAnswer: -0.4, -11, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2 + w**2 - 1\/4*w - 1\/4*w**3.\nAnswer: -(w - 3)*(w - 2)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 57 = 9. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 452*v - 448*v + 13*v**3 + 2*v**4 - 1 + 0 in the form j*v**4 + k + w*v**2 + m*v + o*v**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {x: 6, l: 3, t: 8}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nunadnna. What is prob of picking 2 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 2:13 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -987*y - 2421*y**2 + 215*y + 2424*y**2 as q*y + s*y**2 + z and give q.\nAnswer: -772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 500589694 a multiple of 1199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 3*m + 2. Let i = -28 - -18. Let v = -14 - i. Calculate the lowest common multiple of f(v) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 4*s**2 + 2*s - 3. Let t be w(-3). Let g = t + -5. Which is smaller: g or -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 54, 111, 168, 225, 282, 339?\n\"Answer: 57*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*p**4 + 600*p**3 + 230*p**2 - 480*p - 225 = 0. What is p?\nAnswer: -3\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 320669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -0.012 (b) -2\/3 (c) -0.4 (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -29 - 2 - (3 - -6) - 8\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**5\/5 + 11*d**4\/3 - 64*d**3\/3 + 56*d**2 - d - 6. Factor s(j).\nAnswer: -4*(j - 7)*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/5)*v\/v**3*(v\/(v\/(v*v**(2\/11))))\/((v*v\/v**(1\/4)*v)\/v*v))\/(v**5*v**(-1\/8)\/v)**(1\/3) assuming v is positive.\nAnswer: v**(-7207\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -603 - -641.35. Round p to zero dps.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6 - 4 = 0. Let x = -9 - m. Let j be 4\/x - (-1 + 0). Sort -5\/4, -1, j.\nAnswer: -5\/4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n - 17298 = -30*n. Suppose 6*r - 3*r = n. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*1*4 - sqrt(99))\/sqrt(3))\/((-3*sqrt(539) + sqrt(539))*3).\nAnswer: -sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432*o - 2171*o + 436*o + 389*o + 500*o.\nAnswer: -414*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -2. Let d = 5 + q. Does 14 divide d*46\/4*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 265*q**2*x*z + 15*q**2*x + 2*q**2*z + 13*q**2 + 5*q*z + 18*x*z - 6*z - 1 with respect to x.\nAnswer: 265*q**2*z + 15*q**2 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155014779 to the power of 1\/3, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 2. Let a(y) = -y - 17. Suppose -w - 12 = -1. Let n be a(w). Determine v(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**2 + 17*d + 4. Is y(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41 - 1 - (3 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 976385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/35)\/((-15)\/63*86\/1290).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -408, -409, -410, -411, -412, -413?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - n - 1, -4*g + 14 = -n + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4083, 8210, 12413, 16722, 21167?\n\"Answer: 5*j**3 + 8*j**2 + 4068*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -3. Suppose 0 = 5*s - 4*m - 22, -3 + 12 = -3*m. List the prime factors of s\/3*(-9)\/y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108498, 108509, 108528, 108555, 108590, 108633, 108684?\nAnswer: 108743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1427*s + 1465*s = -76 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 + 66*z - 74. Let s = -94 - -124. What are the prime factors of n(s)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 + -2015\/18. Let x(s) be the first derivative of -4\/9*s + 1\/9*s**2 + 4\/27*s**3 + 3 - o*s**4. Find d, given that x(d) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29316865 to the nearest integer?\nAnswer: 5415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*x**3 + 11*x**3 - 20*x**3)*(29 - 28*x - 29).\nAnswer: -1708*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8399 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -1. Suppose 0 = -3*f - n + 1, -q*f - 17 = 5*n - 0*n. Solve -f*s + s - 11 = -4*u, -s - u + 4 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -273 + 190. Let j = h - -91. Suppose 72 = -4*y + 10*y. What is the least common multiple of j and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 724\/3 + -238. Which is smaller: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**5\/7 - 18*z**4\/7 - 68*z**3\/7 - 48*z**2\/7 = 0.\nAnswer: -2, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p + 22*p = 34 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02539 to 3 dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13037 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**4\/4 + 10*f**3\/3 + f**2 + 23*f + 60. What are the prime factors of x(9)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.43 - -37?\nAnswer: 136.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 430 and 108532.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 19 = p, -5*k = 5*p - 33 - 2. Suppose p*x - 121 = 5*a, 4*x + a - 113 = -2*a. Suppose -5*m + 0*s = 3*s - x, -2*m = 2*s - 14. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27763946461\/1326 + -20938130. Let x = b - 2\/663. Let s = -32791\/9 - -3649. What is the common denominator of x and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + u + 0*u)*(-502*u + 1466*u - 279*u - 167*u + 2).\nAnswer: 2072*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 846323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 5*v - 2. What is m(-9)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, c: 3}. Give prob of sequence ccg.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13673 - 13651. What is the greatest common factor of 18854 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.062685 + 38.943685. Let h = q + -39. What is h rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*k + 605 - 6811 - 4504 for k.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t - 5. Let w = 3 - 7. What are the prime factors of i(w)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z**3 + 16*z**2 - 2497428033 + 2497428033 - 16*z**2.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 632843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + (sqrt(54)\/(sqrt(3) + (sqrt(432) - sqrt(432)*1) + sqrt(432)))\/(sqrt(9) + (sqrt(90)*1)\/sqrt(10) + sqrt(9)*2*1)).\nAnswer: -2 - sqrt(2)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*f**3 - 259*f**3 + 510*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/37)*x\/x**(-3\/17))**(1\/3) assuming x is positive.\nAnswer: x**(445\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1696680 = 5*t + z, 4*z + 79 - 59 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1133*-0.7\nAnswer: 793.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) + sqrt(500)*1*1 + sqrt(500) + sqrt(500) + sqrt(500))*-2)\/(sqrt(810) + (sqrt(810) - (-4*sqrt(810)*1 - sqrt(810)))) + 3)*-1.\nAnswer: -3 + 50*sqrt(2)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 5. Let x = -473 + 477. Let h be x*13\/((-13)\/2). What is c(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s + 2*s)*(-s - s + 4*s) + (1 + 0 + 0)*(-96*s**2 - 262*s**2 + 19*s**2).\nAnswer: -335*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 18*p - 20*p + 2, -3*p + 6 = -3*y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 400 = 41*m. Let f(i) = -2*i**3 - 2*i**2 + 2*i - 2. Let o(c) = -7*c**3 - 8*c**2 + 8*c - 9. Give m*f(a) - 2*o(a).\nAnswer: -4*a**3 - 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 4 (c) -40.494\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 5, -5, -3, 33, 21, -26 in decreasing order.\nAnswer: 33, 21, 5, -3, -5, -16, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-53)\/(-4))\/(2\/(-8)). Let f be (-11 + 18)\/(2\/16). Let b = f + z. Solve -b*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 8*u - 9. Let h be (-18 + 0)*2\/(-6). Let w be d(h). What is the units digit of 8\/(-3)*w\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*b + 78*b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2. Let o(r) be the third derivative of 13*r**4\/24 - r**2 - 73*r. Calculate j(o(f)).\nAnswer: 676*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ggxxgxggggg?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7))**(-1\/81)\/(h*h**(-17)*h*h*h*h**8*h) assuming h is positive.\nAnswer: h**(331\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**5 + 237*r**4 - 1350*r**3 + 2652*r**2 - 1752*r = 0?\nAnswer: 0, 2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3349 + 7913. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*-2 - sqrt(1300))**2 + sqrt(78)\/(sqrt(6) - 3*sqrt(6)).\nAnswer: -sqrt(13)\/2 + 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from {p: 1, i: 1, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 - 368151*m**2 - 11295884985*m - 79053156525.\nAnswer: -3*(m + 7)*(m + 61355)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36 + 688*b - 835*b - 35 + 647*b**2 wrt b?\nAnswer: 1294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 6. Suppose v = -4*z - 2*q + 2, -2*z + 3*q - 3 = 3*z. Suppose 5*a - 53 = -3*p - 22, -p - 3 = z. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**6\/120 - i**5\/60 - i**4\/8 + i**3\/2 - 2*i**2. Let k be z(2). Which is bigger: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*g - 62*g = 95*g - 2126 - 574 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-108)\/52 - (-4061)\/(-403) - -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-6)*-6)\/(((-522)\/(-24))\/29).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*f**2 + 472 - 472)*(5*f + f - 4*f)*(-2*f + 3*f + 0*f).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 154 - 99. Suppose -4*z = 7 - r. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -26 (b) -3 (c) 2 (d) -3\/8 (e) 42 (f) 3\/5 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23845 and 1199780.\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12907805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q**2 - q - 5. Suppose 2*s + 0*s - 10 = 0. Let c(f) = 10 - 4*f**2 - s - f - 8. Determine 5*c(y) - 3*w(y).\nAnswer: y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-18 - 1 - 1)*(1 - 4 - 5) + (2 - 7 - 1)*(1 + 3 - 2))*(-2*h + 3 - 3) to the form l*h + m and give l.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19688\/(-2))\/((-2)\/6 - (-1)\/(-6))?\nAnswer: 2, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(7)*-2)*5*-1.\nAnswer: -10 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 106?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26089, 26083, 26075, 26065, 26053, 26039?\n\"Answer: -k**2 - 3*k + 26093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 + 7715. Let t(q) = -210*q. Give t(x(u)).\nAnswer: -630*u**2 - 1620150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60117284 divided by 6?\nAnswer: 30058642\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 10:05 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 0. Let h(b) = 3*b**3 + 7*b**2 + 23*b - 2. Let f(d) = -4*d**3 - 11*d**2 - 34*d + 3. Let x(u) = -5*f(u) - 7*h(u). List the prime factors of x(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 11*i**2 + 101*i - 14. Let t be p(-17). Sort t, 1\/3, -23, -14 in ascending order.\nAnswer: -23, -14, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 53*l**2 + 106*l - 220. Determine w(-55).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2086, 4164, 6242, 8320, 10398?\n\"Answer: 2078*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.068 + -139.068. Let a = t + 135.368. Let q = 3.95 + a. What is q rounded to 2 decimal places?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/84*3\/(-2). Let k be (-30)\/270*((-18)\/(-4))\/(-3). What is the second biggest value in 8, m, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*b + 66*b - 480267 = 0. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 9*y**2 - 11*y - 9. Suppose -16 - 4 = 2*z. Let j be l(z). Calculate the common denominator of 1*((-243)\/(-6) - j) and 81\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -702*g - 2213. What is the hundreds digit of m(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/3735 and 23\/135.\nAnswer: 11205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/37 (b) -0.1 (c) 0 (d) 10 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (236*175\/18708900)\/((4\/(-2))\/(-12))?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 + 154*u - 57 + 105 to the form j + d*u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 852\/144)\/((-32)\/240).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 269 + -614. Let d = m - -346. Calculate the remainder when 3 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(130)*2)\/(sqrt(1000)*4))**2.\nAnswer: 117\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1610*d**3*p**6 + 2*d**3*p**4 - 20*d**3*p**2 + 161*p**2 + 1 wrt p.\nAnswer: 193200*d**3*p**3 + 48*d**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 125994886007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uquv when four letters picked without replacement from uwqvqffwvuqqu?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-3)\/((-45)\/(-10))). Suppose 110 - 38 = z*d. What is the smallest common multiple of 30 and d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 7) in base 6?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/24)\/(((-15)\/24)\/1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/6, 4\/3, -23\/30, 9\/2, -2\/5, 7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 8*c. Let w be l(6). Suppose t + 4 = 0, 4*t = -2*v + t - 4. Suppose 10*p - 36 = -v*g + 7*p, 4*g + p = 44. Is w at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 + 24 = 24*d. Let t = 405 + -281. Let k be (-8)\/t*(-6)\/4. Is d equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1242601 - 1242601 + 1533*p**3.\nAnswer: 1533*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 3890.\nAnswer: 1\/778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*-3*sqrt(1053) + -3 + 1)**2.\nAnswer: 540*sqrt(13) + 37933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1166 (base 7) to base 8\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z\/(z**(5\/2)\/z))\/z)*z)\/z**16)\/(z\/(z*z**(2\/9)*z)*z*z)**(-9\/7) assuming z is positive.\nAnswer: z**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -18*k - 16. Let a(u) = 254*u - 30. What is t(a(r))?\nAnswer: -4572*r + 524","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.1822325 kilograms?\nAnswer: 182232500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 56. Suppose 0 = k + 2 - w. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3444*-0.1\nAnswer: -344.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/7 - 810\/(-70). Let l = -9 + f. Suppose -l*h + 6 + 0 = p, -6 = -h + p. Let c(m) = m**3 - 2*m**2 - 3*m - 4. What is c(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14953 is divided by 110.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2cfbb (base 16) to base 9.\nAnswer: 310663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1560 and 1885.\nAnswer: 45240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-78)\/27 - -3)*(-2)\/6. Let n be 12\/(-4 - -1) - -4. Are n and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2941781 is divided by 30642?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27, -29, -31?\n\"Answer: -2*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.085 and -2?\nAnswer: 24.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2 - 2, -3 = -5*d + 2*o. Let g be 39\/d + 1 + 0. Suppose 4*y - g = 12. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283401439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7454469, -14908935, -22363411, -29817903, -37272417, -44726959, -52181535, -59636151?\nAnswer: -67090813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + b + 75. Let t be w(0). Let i = t - 160. What is i rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1848 + 18895.91\nAnswer: 18896.0948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.327390003 rounded to 4 decimal places?\nAnswer: -4.3274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -5277\nAnswer: -2\/5277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**2*w**4 + 2*m**2*w - 28*m**2 + 45595*m*w - 122*m - 6 wrt w?\nAnswer: 8*m**2*w**3 + 2*m**2 + 45595*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94971570*u**3 + 6786*u**2 - 304 wrt u?\nAnswer: 569829420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18042281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46459 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 6. Let p = u + -2. Let x = 4 - p. Which is bigger: 1\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.257 - -0.38. What is x rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 314169702 and 26796.\nAnswer: 628339404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -3071.2 and 173.\nAnswer: -2898.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 14*z**2 + 10*z - 11. Suppose 2*r + 4*o + 18 = 0, -2 = -r + 5*o - 25. What is the units digit of d(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**4\/18 + 25*s. Let k(x) = 0. What is x?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 1 - (-21)\/7. Solve 4*x = 2*k - 20, k = -0*k - l*x - 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 122\/197 (b) 9 (c) 4\/7 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, -2\/203, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 110, 0, -1.\nAnswer: -1, 0, 3, 6, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 23. What is the biggest value in 1\/4, c, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 3*z - 3\/2*z**4 + 0 + 7\/10*z**5 + 0*z**2 + 2\/3*z**3. Factor s(h).\nAnswer: 2*h*(h - 1)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.52262 (b) -0.4 (c) -384\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 4:13 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o + 147. Let y(s) = -2*s - 79. Give -3*q(i) - 5*y(i).\nAnswer: -2*i - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 31*t + 14 - 28 to the form m + r*t and give r.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -727, -668, -567, -418, -215?\n\"Answer: g**3 + 15*g**2 + 7*g - 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-4)*((-2)\/5)\/((-2268)\/(-15120)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(30) - (sqrt(210)\/sqrt(7) - sqrt(30))) - sqrt(1470)*-2)\/(-4*(sqrt(810) + (1*sqrt(810) + sqrt(810))*6)).\nAnswer: -2*sqrt(3)\/117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 4*c**2 + 3*c - 5. Let o be u(-5). Suppose -30 = 5*s + o. Let d = -4 - s. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 9*m**2 - 7*m - 7. What is s(9)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -12\/7, -14, 2, 92?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.18, 1.43, -5, 0?\nAnswer: 1.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3502134026 + -2?\nAnswer: -3502134031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 7*f. Suppose 5*y = -t - 175, -143 + 38 = 3*y - t. Let n = y + 36. Which is the closest to f? (a) -2\/9 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.69 and -0.6.\nAnswer: 4.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*x = 50, -5*s - 9*x = -4*x - 75. Solve 4*d + 5*p = -1, 3 + s = -5*d + p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*c**3*w + 1613*c**3 - 89470*w wrt c.\nAnswer: -21*c**2*w + 4839*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**3 + 16 + 0*j + 3*j**3 - 5 + 3*j**2 + j + 12 as h + z*j**3 + m*j**2 + p*j and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1556*c + 7696. What is h(-5)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v**3 + 5*v**3 + 4*v**3)*(5*v - 12*v - 11*v + (-2*v + 20*v + 8*v)*(8 - 2 - 2)) in the form d + k*v**4 + s*v + j*v**2 + n*v**3 and give k.\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*v**2 + 208*v**2 + 0*v**2 + (-3*v + 4*v - 2*v)*(-v + 5 - 5))*(-3*v + 5*v - 4*v)*(-2 - 3 + 3).\nAnswer: 800*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.09 take away -118082?\nAnswer: 118219.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 3*z**2 - z + 1. Let m be h(3). Let r = 2 + m. Suppose r*a + 3*a - 143 = 4*t, -2*a = 4*t - 122. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*w - 56*w + 25 = 1. Sort w, -50, 4, -9.\nAnswer: -50, -9, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109 - -106. Let c(n) = -n**3 - 4*n**2 - 2*n + 3. Let p be c(-3). Put 1, p, 4, s in increasing order.\nAnswer: s, p, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, -1, -0.6, -4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 2413295*m**2.\nAnswer: m**2*(m - 2413295)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -8*c + 111. Let t = -9 + c. Suppose t*l = 30*l - 692. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24800, 24756, 24708, 24656?\n\"Answer: -2*r**2 - 38*r + 24840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 8:23 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 330751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.5804274kg?\nAnswer: 580427400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 - 1.2. Let j = 4.72 - 4.62. Let q = 0.4 + -0.3. Which is the closest to j? (a) n (b) q (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 568446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - 4*x + 6*x + 1 + x - 1 + (-4 + x + 4)*(1 + 5 - 5) + 4*x - x - x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 883, 909, 945, 991, 1047, 1113, 1189?\nAnswer: 1275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 2. Let t = -683.0383 + 683. Let w = t - -0.0383. Which is the third biggest value? (a) u (b) -4 (c) w (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvr when three letters picked without replacement from {c: 1, a: 6, w: 2, r: 2, u: 1, v: 6}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5763\/39 - -1) + (-96)\/(-416). Calculate the highest common divisor of p and 34717.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o - 184 + 216. Let p(d) = -25*d - 6. Let t(n) = 5*n + 1. Give o*p(l) + 22*t(l).\nAnswer: 10*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35043104 is divided by 191.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 6. Suppose 5*l = -i*l + 95. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 5*c**3\/6 + 20*c**2 + 42*c. Let m be j(-8). What is the nearest to 1 in 1, -2\/5, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4 = -0*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2127*k - 2124*k + 21*k**2 - k**2)*(-7*k**2 + 3 - 3).\nAnswer: -140*k**4 - 21*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1091976 and 227322.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -1. Let k be (1 - (a + -2)) + -2. Let d(x) = -59*x - 13692. Let q be d(-232). Put q, 7, k in ascending order.\nAnswer: q, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.04 times 21041?\nAnswer: 85005.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -998\/1094865?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 99?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x - 2*x + 2*x)*(5*x**2 - 2*x**2 + 0 + 2)*(3 - 2*x - 3).\nAnswer: 30*x**4 + 20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 671639 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-795)\/(-61) + -2 - (-308)\/(924\/(-33))?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159220*o + 12740 = 79457*o + 79633*o for o.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -19. Let o(k) = k**3 - 27*k**2 + 84*k - 32. Let p be o(3). Suppose c - 5*c = 0. Sort c, q, -1, p in descending order.\nAnswer: q, p, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 877459913 and 4.\nAnswer: 3509839652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3*m = -14, -1550 = z + m - 1548 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -557, -2360, -5395, -9656, -15137?\n\"Answer: p**3 - 622*p**2 + 56*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 8 = 2*f, -k - 580 = -3*f - 575 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6374038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 183, 157, 115, 57, -17, -107?\n\"Answer: -8*r**2 - 2*r + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 119.1?\nAnswer: -108.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 357 and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 1\/30*u**5 + 0 + 10\/3*u**3 - 40*u**2 + 11\/12*u**4 + 0*u. Factor n(s).\nAnswer: 2*(s + 1)*(s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.3 (c) -4 (d) -12\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 0*s - s - 5*s - s + 4*s + 3 - 3 + 2*s - 3 + 2*s + 3 + (2 + 0 - 1)*(-s - 2*s + 2*s) in the form z*s + w and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.097 - -0.023. Put b, 2\/13, 5 in ascending order.\nAnswer: b, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2 - 3*w + 1. Let i = -16 - -17. Let m be k(i). Suppose -h - m = -58. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6352*o**3 - 1 + 8654*o**3 - 3648*o**3.\nAnswer: 11358*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-3))\/(-20)*(-32)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 35918300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1080148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156*b**3*c**3 + 2*b**3*c + 193*b**2*c**2 + 2*b*c**3 wrt b?\nAnswer: -936*c**3 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 - 4*y**3 + 5*y**3)*(y - 2*y + 3*y).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18894580, -18894581, -18894582, -18894583?\n\"Answer: -w - 18894579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 - 75. What is the remainder when 9 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -109*o. Let l(p) = 4 + p + 0 + 9 - 13. What is l(w(f))?\nAnswer: -109*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.93 - -0.07. Let x = 13 - f. Let y = 0.09 + 0.31. Is x greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 281*l**2 - 16201*l - 199. Determine c(-200).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 698 = 2*k - i, 2*k + 698 = 4*k + i. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 26 = -2*v, 4*v + 0*v = 2*x - 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*b**2 - 47*b**2 - b - 41*b**2 in the form q*b + d + f*b**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21161, -42286, -63411?\n\"Answer: -21125*h - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8721 + 1981 = -3*k - n, n = -1. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4063, -8110, -12149, -16180, -20203?\n\"Answer: 4*s**2 - 4059*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-1)))**45*(l\/(l\/l**(1\/2)*l)*l)**(-1\/9) assuming l is positive.\nAnswer: l**(809\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.417 + -3.4128274. What is s rounded to 5 dps?\nAnswer: 0.00417","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114 - -171. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 5, 14, -21, -7 in decreasing order.\nAnswer: 36, 14, 5, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**3 + 235134900*g**2 - 5*g - 235134900 = 0.\nAnswer: -47026980, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 82\/21 - (-76)\/(-19). Let i be 6\/40 + (-5)\/20. Which is the third smallest value? (a) -2\/3 (b) s (c) i (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -4 - 24) + 213 + -239.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*h + (-2*h + 3*h + 2*h)*(3 + 0 + 0))*((-5*h + 3*h + 3*h)*(1 + 0 + 0) - 3*h - 2*h + 7*h + 28*h - 18*h + 92*h)*(-3*h - h + h).\nAnswer: -3465*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -5*s**7\/42 + s**6\/2 - s**5\/2 + s + 89. Find g, given that p(g) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/6863?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/166*((-126)\/(-630))\/((-36)\/10)*12.\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -7, -5 in ascending order.\nAnswer: -32, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 + 2)\/(-16) - (-2)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/4*j**5 + 1 + 3*j - 17\/4*j**3 - 1\/4*j**2 - 3\/4*j**4 = 0.\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c*u*x**3 - 3*c*u*x + 2*c*u + c*x**3 - 23*c*x + 15*u*x**5 + 2*u*x**2 wrt x.\nAnswer: 18*c*u + 6*c + 900*u*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 11*x - 45. What are the prime factors of x\/15 + 204\/10?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 222056, 222067, 222096, 222149, 222232, 222351, 222512?\n\"Answer: l**3 + 3*l**2 - 5*l + 222057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + j = 502508, -3*o - 5*j + 57175 + 319689 = 0. Let b = o + 2058523. Let a = b - 1264151. Round a to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.3, 4.9, -1\/2, 2\/19, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1)*5\/(-50)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1850 or -1848?\nAnswer: -1850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73644 + 143244. What is l rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 10*t - 35. Let k(v) = v**2 - 3*v. Let c be k(t). Solve 4*j = -c + 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.24 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119506772?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -40767, 1, -5, 13 in descending order.\nAnswer: 13, 5, 1, -5, -40767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 3\/7 (b) 2 (c) -4\/7 (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 190426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -831 (base 9) to base 8.\nAnswer: -1244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4)\/w*w**(-2)\/w)\/(w**1\/w**(-3)))\/((w*w*((w\/(w**(-2\/7)\/w))\/w)\/w)**(1\/14)\/(w\/w**(-2)*((w\/(w*w\/w**0)*w)\/w)\/w)) assuming w is positive.\nAnswer: w**(-1453\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 2*t**3 + 2*t - 21*t**2 + 9 + 11 + t**4 + 5*t**2 + 8*t**4 as c*t**2 + g*t**3 + q*t + w*t**4 + f and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 1\/9, 4584, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3\/4 - 626163*k**2\/4 - 1878503*k\/2 - 1252338 = 0. Calculate k.\nAnswer: -4, -2, 626169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 18*g**2 - 65*g - 24. Let w be t(10). What is the highest common factor of 56 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 6*l - 3*l = 12, 0 = -4*x - 5*l + 62. Let s be (-24)\/x*2\/(-36). Which is greater: s or -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160328408*y**5 - 2*y**2 - 347457079*y?\nAnswer: 3206568160*y**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35.76 - 1.86. What is j rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**3 - 4*g**2 - 22*g + 21. Let x be p(6). Let l = -343 + x. Calculate the highest common factor of 90 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\/(-8)*8\/6\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27 - 0?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -158.7 - 7.3. Let u = 199.7 + h. Put u, 2, -0.5 in ascending order.\nAnswer: -0.5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.487 - -26.287. Let v = -36 - -15. Put q, -2\/5, -2, v in increasing order.\nAnswer: v, -2, -2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 569*t - 475. What is the thousands digit of d(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2291 + -2308 + -1 + -1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26272 (base 8) in base 3?\nAnswer: 120201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14040\/(-390)*(-4)\/9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l = 3, 3*l = 3*c - 15. Let d = 312 - 2180\/7. Is c < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210431139 to the nearest integer?\nAnswer: 14506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -7. Let h = -32\/5 - -34\/5. Which is the biggest value? (a) h (b) v (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -15. Suppose x*g = g + 33. What is the remainder when g is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3222*w**2 + 1012*w**6 + 2812*w**2 - 8643*w**2 wrt w.\nAnswer: 121440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7538.9 - 7178. Let y = -361 + v. What is the nearest to y in 0.01, 0.5, -5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*s - 10*s + 4057100000 = 0. What is s rounded to the nearest one million?\nAnswer: -140000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxexeucuwxccexxxll. What is prob of sequence ewl?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6)*2*-3. Let y be (((-5412)\/18)\/22 - -15)\/2. Factor 1\/3*a**4 + 0*a**c - 1\/3 - y*a + 2\/3*a**3.\nAnswer: (a - 1)*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + g. Let k(u) = -4*u. Give -k(j) - 4*z(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**8\/6720 + a**7\/504 - a**6\/720 + a**5\/40 + 3*a**4\/4 - 3*a. Let t(n) be the third derivative of j(n). Calculate t(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((-4 + sqrt(272) + sqrt(272))**2 - sqrt(272)) - sqrt(272)) + (sqrt(272)*4)**2 + -5 + 4.\nAnswer: -72*sqrt(17) + 5457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x + 4*x - 3*x)*(-4 + 4 - 2*x) + (-32*x + 269 - 269)*(6 - 6 - 3*x) in the form y*x + s*x**2 + p and give s.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 7:36 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -948 = 8*q - 68. Let s(y) = 2*y. Let x(n) = -100*n. Determine q*s(b) - 2*x(b).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z. Let t = -6846 - -6855. Let n(g) be the third derivative of -g**4\/8 - g**2. Determine t*n(j) + 5*c(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -9) + -3 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 15526 = h, 0*u - u - 2*h - 3107 = 0. What is the units digit of (-39)\/(-91) + u\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 18. Let w(q) = -q**2 - 9*q + 17. Let c be w(-10). Suppose -3*a = -c - 2. Solve a*h - d = -3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d. Suppose 8 + 12 = 4*w. Let t(p) = 3*p - w*p + p**2 + 2*p. Determine t(m(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -7 - -9 - 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/23, 0.5, 4\/5, -1\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/11961 and 75\/9746?\nAnswer: 263142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (-14)\/(-2) - -4504 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}