diff --git "a/data/dm_maths/full_data_2/2280_11255.jsonl" "b/data/dm_maths/full_data_2/2280_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2280_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Determine p, given that -p**3 + 14896*p**2 + 134137*p + 119240 = 0.\nAnswer: -8, -1, 14905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-155)\/341)\/(2\/(-22)*6)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64617757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2\/9*o**3 + 4\/9*o**2 + 0*o - 2\/9*o**4 + 0 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -518, -1776, -3864, -6776, -10506?\n\"Answer: y**3 - 421*y**2 - 2*y - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 5*q + 36 + 22 = 20 - 36, 5*k + 25 = q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*f + 188, 5*o - 4*f = 423 + 81. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**3 - 4*n**3 + 0*n**3)*(-1 - 3 + 2) + 2*n - 2*n**3 - 2*n - 1004*n**3 - 3328*n**3 + 1075*n**3.\nAnswer: -3263*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**3*f))\/f*f*f\/(f\/(f*f**4))*(((f*f**2)\/f)\/f*f)**(-26))**2 assuming f is positive.\nAnswer: f**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 11*d + 1. Let m(f) = 6*f + 1. Let a(y) = -2*l(y) + 5*m(y). Let i(q) = -2*q - 1. Let v(u) = -a(u) - 3*i(u). Let r(p) = -63*p**2. Calculate v(r(b)).\nAnswer: 126*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1\/10 (c) -2\/53 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12*1*4\/(-12). Suppose -3*s + 117892 = -4*z, -6*s + 2*s - w*z = -157208. What is s rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5050 and 17939400?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a factor of 660432432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/1)\/((-224)\/222 - -1). List the prime factors of (-9 - -6) + (4\/(-2) - t).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 116 + 121 - 357 + 120.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 - ((2 - -15) + -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -1\/5 (c) -144131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -125\/474 - 11\/158. Let b(y) = -y**3 + 5*y**2 - 5*y + 6. Let f be b(4). Suppose 3*i + 20 = 4*n, -f*n + 15 = n - i. What is the closest to -1 in g, 1, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467399?\nAnswer: 467399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/14)\/(5 + -6). Is 1 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7258066us to milliseconds.\nAnswer: 0.0007258066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022212101122 (base 3) in base 7?\nAnswer: -13342403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/20)\/(368\/40 - 9).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5727, -13441, -26291, -44271, -67375?\n\"Answer: c**3 - 2574*c**2 + c - 3155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83915193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204 and 1657156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/15)\/(16\/(-80))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 16*f**2 + 21*f**2 - 10*f**2 as t + w*f**2 + x*f and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**6 - 98*t**5 - 591*t**3 - 81*t**2 - 2*t + 1776.\nAnswer: -120*t**3 - 5880*t**2 - 3546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12325 is divided by 283.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j**4*t + 132*j**3*t + 180*j**3 + 2*j**2*t - 4*j**2 + j*t + 3*j - 24*t wrt j.\nAnswer: 96*j*t + 792*t + 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8536? (a) -32 (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s - 6*s + 3*s + (-6*s + 4*s + 4*s)*(-2 + 2 - 2) - 2*s - 2*s + 3*s + (4 - 1 - 2)*(s + 4*s - 3*s) + 253 - 130*s - 253 in the form z + w*s and give w.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) + (-1)\/4. Let h(s) = -s**2 - 16*s + 45. Let y be h(-18). Suppose -3*x - y*t + 11*t = -21, -11 = -x + 2*t. Put 0.5, x, 3, j in increasing order.\nAnswer: j, 0.5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44482.\nAnswer: 2, 23, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 122134169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222.6966 kilometers to nanometers.\nAnswer: 222696600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 8:28 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 68.2?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7454, 30039, 67766, 120635, 188646, 271799?\n\"Answer: 7571*v**2 - 128*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*-380\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m - 21. Let t = 30889 - 30900. Let q(k) = -3*k - 11. What is t*q(s) + 6*o(s)?\nAnswer: -3*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469370 is divided by 57?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 24*g.\nAnswer: -g*(g - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*s - 8 = -8. Find g such that 0*g - 2\/11*g**3 + 4\/11*g**2 + s = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(-7)\/n)\/n*n)\/n*n*n)**17*(n*(n*n**25*n)\/n*n)\/n**22)**(-46) assuming n is positive.\nAnswer: n**4416","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in 0.3, -9, 3\/4, -3, 1.6?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*s**3 + 49*s**3 - 89*s**3.\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 2052.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 540493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 70\/25*10\/4. Let q(x) = -x**3 + 8*x**2 - 8*x + 3. Calculate q(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 1:47 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.23 + 1.97. Let f = 2.4 - s. Which is the third biggest value? (a) -5 (b) 2\/11 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/6 - 5)\/((-2)\/(-96)). Let z = -85 - l. Let d(i) = 11 + i + 9 - z. Determine d(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -878*l = -879*l + 1541. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11920*o**2 + 135358*o**2 - 29914*o**2 + 158438*o**2.\nAnswer: 275802*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -5516 and 88.44 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/3916410 and 58\/25?\nAnswer: 19582050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 12 = -3*k, 120*u - 2*k = 121*u + 1 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 19311 = 6963. What is the greatest common factor of 21 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.133 * -0.4.\nAnswer: 0.0532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 430, 430, 436, 454, 490, 550?\n\"Answer: k**3 - 3*k**2 + 2*k + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 2\/5, -6\/89, 0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 23, 18, 4.\nAnswer: -2, 0, 4, 18, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 176 or 178?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 k, and 1 i when three letters picked without replacement from liiillilik?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.155394 rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2794 (b) -1 (c) 0.5 (d) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155836*u**2 - 21*u**3 + 311649*u**2 + u**3 - 155813*u**2.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, t: 4, u: 2, j: 1, q: 1, p: 3}. Give prob of sequence ptp.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 4:57 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 6. Let u be j(-3). Let p be -3 - (-8 - u\/(2 + 1)). Suppose -x - 3 = 0, -3*k + x - p = -8*k. Is 2\/11 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3616444, 7232884, 10849322, 14465758, 18082192?\nAnswer: 21698624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12213776 or 12213826?\nAnswer: 12213776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691018790?\nAnswer: 2, 5, 7, 11, 19, 149, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*o - 155, -4*h + 235 = 4*o + 27. Calculate the remainder when o is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 2:12 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34642 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 6*s. Let f(d) = d. Let b(u) = -6*f(u) - y(u). Let m(g) = -6*g. Let q = 53 + -46. Let k(o) = 17*o. Let v(p) = q*m(p) + 2*k(p). Give v(b(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1416.9 + -7?\nAnswer: -1423.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 - 6*l - 2*l**2 - 8 + 5*l**2 + 4 - 3*l**2 to the form y*l + s + i*l**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3840)\/1024)\/((-33)\/(-110)).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-2)\/44)\/((165\/(-22))\/(-15)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**5 - 8401*c**4 + 2*c**2 + 71076*c.\nAnswer: -40*c**3 - 100812*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48285571 a multiple of 313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*i + 3*c, 6*i + 5*c = 3*i + 19 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*o + 4 = 0, -4*o = -k - 3*o + 6. What is the smallest common multiple of 45 and k?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3145223 (base 6) to base 9\nAnswer: -254336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23338695 is divided by 866?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*sqrt(1715))\/((sqrt(20)*1)\/sqrt(4)))**2.\nAnswer: -112*sqrt(7) + 1388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.394224 - 84\nAnswer: -84.394224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1*4 - 8. Let v = 12 - 5. Let k = s + v. Is -4 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - d**2 - 7*d - 4*d.\nAnswer: -d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 71670055816.7.\nAnswer: 71670055818.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 165 + -144. What is the remainder when 146 is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84.53788 - 84.65. Round n to three decimal places.\nAnswer: -0.112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/8 + 4 - 0. Let m be (-96)\/(-128)*40\/j. Solve -5*t + 1 = -3*k + 11, 4*k + m = 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6055*a**5 - a**4 + 3*a**2 + 82 wrt a?\nAnswer: 363300*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -31*p**2. Let a(w) be the first derivative of -14*w**3\/3 - 247. Determine q(a(s)).\nAnswer: -6076*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 23*f + 2. Let z be l(2). Suppose -5*p + 3*p = -4*k - 24, -5*p = 3*k - 21. What is the greatest common factor of p and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 + (-478)\/(-4))\/(3\/282) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.208222 * 2\nAnswer: 0.416444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34779 - -55525. What is the ten thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxcc. What is prob of sequence cxcx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-556*l**4 - 33*l**4 - 118*l**4)*(-1 + 10 - 2 + (2 - 1 + 0)*(1 + 2 - 1)) as i*l**4 + b*l + u*l**2 + f + k*l**3 and give i.\nAnswer: -6363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s\/(s*s**2\/s))\/s*s))**(-2\/7)*(s\/(s*s*s*s*s*s\/s**(2\/23)*s))\/(s\/(s\/(s*s**2\/s)*s)) assuming s is positive.\nAnswer: s**(-1251\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 368, -33011, -5?\nAnswer: -33011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9275380 is divided by 1466.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -35 in ascending order.\nAnswer: -35, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*q - 795300 = -6082164. List the prime factors of q.\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 11*t = 240. Let x = t + 10. Let k = x + 111. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1020189*j**2 + 5439*j**3 - 1020189*j**2.\nAnswer: 5439*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -13, 0, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 - -175112441?\nAnswer: 175112153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 321 (base 15) to base 5\nAnswer: 10311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/16 + -1)\/((-2)\/(-448)). What is the highest common factor of 40 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155514554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2976104 divided by -4.\nAnswer: 744026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 38\/6 - (-40)\/60. Determine m so that s*m**5 - 2*m + 15*m**3 + 19*m**4 - 5*m**2 + 6*m**2 + 0*m = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*(-28)\/7. Suppose q*b - 20 = -2*i, -3*i = 2*b - 0*i - 25. Let d(g) = g**2 - g. Let h be d(1). Solve t - b = -3*v - h*v, t + 13 = 3*v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.83793 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30952 and 253976?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5172848 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/2 - 45*n**2\/2 - 627*n\/2 - 2527\/2.\nAnswer: -(n + 7)*(n + 19)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 10597539.\nAnswer: 180158163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 366411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 2*o - 3. Let t(d) be the first derivative of d**4\/4 - 4*d**3\/3 + 2*d**2 - 3*d - 1. Let k be t(2). Calculate s(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 3*y - 3. Let q be m(-2). Let i = 0 - q. Differentiate 3*x - i - 2*x + 2 wrt x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**6\/720 + d**5\/120 + d**4\/6 - 6*d**2. Let i(h) be the second derivative of r(h). Let s(f) = f - 2. What is -4*i(w) - s(w)?\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*r, r = -2*y - 2*r + 27. Suppose 10*w - y*w + 52 = 0. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 19\/4 of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 809*z - 825*z = -86000. What is the greatest common factor of 43 and z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 341 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -771 (base 8) to base 2.\nAnswer: -111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r + 0*r**2 - 8*r**3 - 5*r**3 + r**4 + 7*r - 2*r**2 + 4*r**2 to u*r**2 + i + l*r**3 + k*r + g*r**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 641, 4367, 10577, 19271, 30449, 44111?\nAnswer: 60257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150020 is divided by 168?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**5 + 604452*f**3 - 391041*f**2.\nAnswer: -120*f**2 + 3626712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(4131) - (5*sqrt(4131)*-1 - sqrt(4131))))\/(((sqrt(18) + sqrt(288))*6)\/(sqrt(24)\/(sqrt(8)\/sqrt(2)))))**2.\nAnswer: 29988\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 12 - 84 = 0. Suppose 3*q = -3*q + n. Suppose 2*t - 96 = -q*t. What is the lowest common multiple of 5 and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 52. Suppose -34*x + 336*x = -86*x + 46948. What is the remainder when x is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirty-one halves of a microsecond?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 + 67.985. Let w = f + 5.715. Let t = 6.1 - w. Which is the second biggest value? (a) t (b) -0.1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((567\/(-90))\/21)\/(18\/(-15))*-2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*s = 256*s + 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 4, u: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*b + 4*j, -30*b + 5*j + 48 = 123 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 4 = 2*h + s, -s - 35 = -4*h. Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/429, -0.1, 0.01 in ascending order.\nAnswer: -0.1, 0.01, 14\/429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -134, -1\/2, 0.02, -1\/498?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2. Let a(y) = 35992*y**2. Calculate z(a(o)).\nAnswer: 3886272192*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/3, -96, 4 in ascending order.\nAnswer: -96, 0, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 527780279849?\nAnswer: -527780279848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -421, -1438, -3423, -6700, -11593, -18426, -27523?\nAnswer: -39208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b + 3*b + 3 - 5 - 168*b**4 - 14*b + 9*b to the form q*b + i*b**3 + j*b**2 + a*b**4 + x and give a.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25798 is divided by 737.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 7:37 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 0.35 (c) -1 (d) -5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/1551 and -33\/233308?\nAnswer: 7699164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 9*x**6\/10 - 2*x**3\/3 + 14*x + 9. Let s(v) be the first derivative of f(v). What is the second derivative of s(o) wrt o?\nAnswer: 324*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 6*f**2 + 15*f + 5 - 26 in the form r*f**2 + q + p*f and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8028*k + 82898. Calculate d(11).\nAnswer: -5410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 278283*r**5 + 246366*r**2 wrt r.\nAnswer: 16696980*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43729497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -155 + 220. Let d be (39\/(-24)*-2)\/((-2)\/(-8)). What is the highest common divisor of x and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 76, 87, 114, 163, 240, 351, 502, 699?\n\"Answer: t**3 + 2*t**2 - 2*t + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 3:06 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0.28. Let m = -0.2737 - p. Round m to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s. Let a(l) = -36*l + 16. Let v(r) = -7*r + 3. Let x(n) = -3*a(n) + 16*v(n). What is k(x(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 14 = -2*i, -4*h - 8 - 18 = -2*i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/435843?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9890 + 7622. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12727031 or 12727020?\nAnswer: 12727031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1173, 1171, 1169, 1167?\n\"Answer: -2*f + 1175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 5*o + 19. Let c = 55 - 47. Let f be n(c). Is (2\/f)\/((-2)\/660) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*13)\/(4\/(-8)). Let v = o + 60. Solve q + a - 8 = -q, -2*q = -3*a - v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5691059, 5691203, 5691443, 5691779?\nAnswer: 5692211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 - 53 - 55 - 35*k.\nAnswer: -35*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 685047 and 20759.\nAnswer: 685047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 14 = 4*q, -3*q - 7*x + 10 = -4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/93224 and 40\/13279.\nAnswer: 4567976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 328822961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -80*d + 1186. Give i(12).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29*2\/(-145))\/((-1)\/40).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 5*h = 2, 1828 = 7*l + 5*h + 1790 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*q + 2*q, -j = q - 9. Let d = j + -9. Solve 0 = 2*n - n - d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 5*z + 3. Suppose l + 5 = -0. Let k be u(l). Let v be k\/2*(-11 - -13). Which is the nearest to v? (a) 0.1 (b) 0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -17. Let z(b) = 5*b**3 + 6*b**2 + 23*b. Let f(v) = 9*v**3 + 12*v**2 + 45*v - 1. Let g(p) = 6*f(p) - 11*z(p). What are the prime factors of g(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/9 + 608*i + 44032\/9.\nAnswer: -4*(i - 1376)*(i + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 160 - 317\/2. Let u be 1 - 86*2\/208. Let k = u - -1\/13. Which is the closest to -0.4? (a) k (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 36*w - 28. Does 10 divide m(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 1023?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from {p: 6, j: 6, u: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 21*y. Suppose -216 = -16*q - 11*q. Suppose -7*z - q = 6. What is t(z)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19649 + -6239. List the prime factors of h.\nAnswer: 2, 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 29*b**2 - 84*b + 117. What are the prime factors of i(24)?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 89 and -0.0988879568.\nAnswer: 88.9011120432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/2 + (57\/(-1767))\/(270\/125610).\nAnswer: -2\/279","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -8*f + 7*f. Let c = f - -104. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 11 = -8*b. Suppose -a - b*f + 88 = 0, 0 = -0*f + 4*f + 8. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) 6\/5 (c) -107 (d) 0.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1265594009.\nAnswer: 19, 383, 173917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s - 2*s**3)*(2 - 2 + 2)*((3 + 3 - 7)*(-3*s + 0*s + s) - s + 2*s + 0*s + 2 - 2 + 4*s).\nAnswer: -28*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 29\/5 + 36\/(-45). Suppose -3*d - 15 = 0, -2*d = -x*n - d + 15. Factor 1\/3 + r**n + 1\/3*r**3 + r.\nAnswer: (r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/24 and 5\/564951?\nAnswer: 4519608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 7) to base 16.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**3 + 14632*h**2 - 10031098*h + 1809703868 = 0.\nAnswer: 371, 6574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91365012 = 5*f + 3*v, -16*v = -12*v + 16. Round f to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -0*s + 90. What is the least common multiple of 5 and 18*3*3\/s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m = 92. Let a = m + 57. Is a\/(-20)*(10 + 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3 = 12. Suppose -p*t = -8*t + 4*i - 21, -2*t + i - 9 = 0. Let r be 4 + 2 + (t - -3). What is the greatest common factor of 20 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 51 = c, 4*c + v + 976 = 971 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 7*l**2 + 10*l - 1. Let b be i(8). What is the highest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*o**2)*(1 + 2*o - 1) + 2*o**3 + 3*o**3 - 21*o**3 + 3*o**3 + o**3 - 6*o**3.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40 + 44)*(160\/2 - 1). Suppose -x*n = -312*n - 56. Is n less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 210 = 5*t, t + 2*t + 5*j + 126 = 0. Let y = t - -30. Let z be (6\/y)\/(2\/(-16)). Solve -o = -3*a - 2, -o + z*o = 4*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5072*y - 5076*y + 25461*y - 5152*y + 6*y**2 - 5084*y - 5077*y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023428 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000100147 to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2657, -2807, -2951, -3089, -3221, -3347?\n\"Answer: 3*k**2 - 159*k - 2501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 1, w: 1, h: 1, u: 1}. Give prob of sequence ut.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ziizzttzzzzztiztzti. What is prob of picking 2 i and 2 z?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/4 - 270*d - 887787\/4.\nAnswer: 3*(d - 753)*(d + 393)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -112, -241, -422?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/2)\/(3\/(-8 - -14)). Suppose -25 = -y*f - 49. Let k(n) = -n - 1. Let j(d) = 2*d + 4. Calculate f*k(b) - j(b).\nAnswer: 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m. Let s(i) = -244*i**2 + 733*i**2 - 243*i**2 + 98*i - 238*i**2. What is t(s(p))?\nAnswer: -32*p**2 - 392*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2))**9\/((c\/c**(-2))\/(c**(5\/3)*c*c)))\/(c**(-2\/23)*c\/c**2*c*(c**(-2))**40) assuming c is positive.\nAnswer: c**(7435\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.59 + 5.59. What is the nearest to -2\/9 in h, 1\/6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.046? (a) 1\/3 (b) -0.5 (c) 138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -139 - 0 - (-15882 + 15856)\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2 - 25*t - 31*t + t**2 + 56*t. Suppose 3*c = 3*s - 0*c, 3*c - 5 = -2*s. Let l(k) = k. Calculate s*d(v) - l(v).\nAnswer: v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107 + 123. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18826*y - b + 2 = -18827*y + 4, 3*b = -15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -1, -2.3, 5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3683348 is divided by 119.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 83*g**2 - 810*g + 75049. Give i(84).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -1) + -81 + 0. Let p be (t\/(-33))\/((-2)\/(-6)). Solve -3 = 2*x + p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -11*t**8\/1680 - t**6\/45 - t**3\/3 - 7. Let b(p) be the third derivative of j(p). What is the third derivative of b(o) wrt o?\nAnswer: -264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13193482, -13193490, -13193498, -13193506, -13193514, -13193522?\n\"Answer: -8*b - 13193474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k + 5. Let x(p) = p**3 - p - 1. Let v be x(-2). Let y be m(v). Let c = y - 16. What is the lowest common multiple of c and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(48\/(-57)) + -5. Suppose 5*d = u + 40, -1 = d - 0*d - 2*u. Let n = d - 14. What is the closest to -2 in n, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(147\/(-7))*174\/9. Let k = z - 19\/7. Sort 0, -0.5, k, -4.\nAnswer: -4, -0.5, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 455 and 25?\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + sqrt(99) + (sqrt(99) - 1*(sqrt(99) + 0)) + sqrt(99) + -1)**2.\nAnswer: 72*sqrt(11) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17177959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1068194*p + 36318585. Give g(-34).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*b + 67 = 0, -79*t + 81*t + 1950 = -61*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -5, 21, 72, -9 in increasing order.\nAnswer: -9, -5, 19, 21, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**2 - 3 - 6*c**2 + 2 to the form g*c + s*c**2 + a and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 1, 3, 2 in increasing order.\nAnswer: 0, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2970\/297)\/660)\/((2\/9)\/2)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -603234.772 rounded to the nearest one thousand?\nAnswer: -603000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**3 - 5*m**2 + 4*m - 6. Let a be g(-6). Suppose -1010*l + 6825 = -1025*l. Let r = a + l. Is r a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 234080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -748*o - 21672 + 657 = 22369. Let h be -3 + 2 - (-116)\/(-2). Is o >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -826 + 763. What is the nearest to -1\/3 in -3, r, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -8\/7, -3\/8, -112\/11, 4, 0.4, 1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 3:29 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 19*c + 5. Let d(u) = 10*u - 181. Let z be d(19). Give m(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, g: 4}. What is prob of picking 2 g and 1 s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15.8 times 1.1\nAnswer: -17.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 493*q**2 - 6*q - 13. Let s(m) = 2461*m**2 - 28*m - 64. What is 14*a(n) - 3*s(n)?\nAnswer: -481*n**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.85 + -1.25. Is -2 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -246 - -240. Let x = 8\/3 - 10\/3. Which is the third biggest value? (a) x (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33)\/(-42) + 1\/(-2). Let d be (4 - ((-12)\/(-18) - 1)) + -5. Put d, 2\/9, n in ascending order.\nAnswer: d, 2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.858689ml to litres.\nAnswer: 0.002858689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147224 - 147224 + 595*l**3.\nAnswer: 595*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -54*v - 1029. Let f be n(36). Is -2973 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.173 (b) 2\/9 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2684970241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6024, 24279, 54764, 97479, 152424, 219599?\nAnswer: 299004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4689.02 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 29*v**2 - 29*v - 24. Suppose -4*m + 4*u - 108 = -0*m, -5 = 5*u. Let c be b(m). What is the highest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and (-3)\/1*(-6)\/9?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -2*l**2 + 7\/60*l**5 - 1\/12*l**4 + 0 + 0*l + 0*l**3. Find the second derivative of z(d) wrt d.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23280.85 litres in millilitres?\nAnswer: 23280850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - -37) + -23 - (-122)\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6057 - 6059. Which is smaller: -29\/56 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.429627 litres?\nAnswer: 6429.627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = -511 + 547 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (-4 - 2) + 91. Calculate the greatest common factor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13*b - 160. Let g be j(-13). What is the greatest common divisor of g and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 2\/7 (b) 86 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*o - 3*n, 3*n - 16 = -5*o + 19. Let y(i) = -2*i + 2. Let k(a) = 4*a - 4. Calculate o*y(r) + 4*k(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 l when three letters picked without replacement from lknnxkil.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/42*(-2)\/12?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*k - 57008 = -174*k - 2*m, -3*k + 85500 = -m. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*p + 4 = -324*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 8. Suppose 2 = -2*y, p*y - 5 = i - 13. Solve 0*o + 6 = -i*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -11 + (-4 - -1) + 4. Is ((-28)\/j)\/((-8)\/(-3820)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/13 - 16*i\/13 - 66\/13.\nAnswer: 2*(i - 11)*(i + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -254.81 - -254.61. Let g = -0.1 - -0.3. Let k = -0.2 + g. What is the closest to k in o, -15, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 29 in descending order.\nAnswer: 29, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((1*sqrt(68) - sqrt(68)) + 0 + -1) + ((sqrt(68) + 1 - sqrt(68))*-6 + 2)*5)**2*-4.\nAnswer: -2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 1:21 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -117, -176, -235?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*p - 1, n = -1 - 3. Calculate the common denominator of (-5)\/(-24)*(-49 + p) and 77\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -4, -4\/5, -3\/19 in ascending order.\nAnswer: -4, -4\/5, -3\/19, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 0 - 4*y + 0. Let u(j) = -9*j**2 - 45*j - 3. Let s(q) = -9*q**2 - 30*q - 2. Let z(c) = -9*s(c) + 6*u(c). What is i(z(h))?\nAnswer: -108*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1, 1\/58, 3, 1.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23968 divided by -1712.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12.83 times 4\nAnswer: 51.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 3043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1344.97 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6885, -13794, -20703?\n\"Answer: -6909*t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -19 - 18 - 4 - 2*n - 7 + 30. What is b(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 195219240 by 5.\nAnswer: 39043848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o**2 + 2*o - 1. Let k be c(1). Let i(d) = -5*d + 4*d**2 - d - 5*d**2 - d + 2. Let v be i(k). Solve -5*t - v = 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-117)\/(-360)*-8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**3 - 3*p + 2. Is i(3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5697 - 1858. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -542 divided by 5.\nAnswer: -542\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**4 - 402*j**3 + 2937*j**2 - 3432*j - 6768 = 0?\nAnswer: -141, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*i - 152*i - 870 = -4790 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8775*i**3 + 10*i**2 + 45*i + 5. Let v(b) = 13162*b**3 + 14*b**2 + 63*b + 7. Determine 7*h(u) - 5*v(u).\nAnswer: -4385*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 12*y - 20 - 30 - 8*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d + 13. Let l be (-2)\/6*(-24)\/2 + -20 + 22. Determine p(l).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/3 + (-1)\/3. Let q(x) = x + 5. Let z be q(m). Suppose -2*h = b - 10, z*b + 8 = 4*b + h. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) -1 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vy when two letters picked without replacement from vyvvffvhv?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 3 in decreasing order.\nAnswer: 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -739, 1 in ascending order.\nAnswer: -739, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685 is divided by 137.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -181*t**5\/30 - 239*t**4\/8 + 27*t**2 - 3. What is the second derivative of j(a) wrt a?\nAnswer: -724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1260 and 5417034.\nAnswer: 162511020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*t = 317631 - 1041601 - 674911. Is 94 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/918392590 - 1211653713733\/579873081326. Let h = n - 2\/1435. Calculate the common denominator of 31\/195 and h.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**5\/3 + 88267*i**4\/3 - 147117*i**3 + 794441*i**2\/3 - 617902*i\/3 + 58848 = 0.\nAnswer: -88272, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4675 = 4674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -397\/3 or -132?\nAnswer: -397\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2122.7 - 2123. Which is the second smallest value? (a) -5 (b) -4\/3 (c) -4\/9 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -97, -138, -205, -304, -441, -622?\nAnswer: -853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -56\/15*z - 8\/5 - 2\/15*z**4 - 16\/15*z**3 - 46\/15*z**2 = 0?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 greater than or equal to 268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1301525 divided by -53.\nAnswer: -1301525\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -14. What is the closest to -2\/17 in j, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1782 and -353 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -4.45 (c) 5 (d) 0.7 (e) 2 (f) 4 (g) 1\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1428?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -258.942?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**8\/840 - i**7\/84 + i**6\/60 + 3*i**5\/20 + 2*i**3\/3 + 10. Let b(v) be the third derivative of y(v). Factor b(o).\nAnswer: 2*o*(o - 3)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 greater than 239\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-216)\/108*1*-2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 1. Let u be g(3). What is the common denominator of u + 35\/20 - -1 and 89\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2 - 715*i - 7 + 702*i. Let j(g) = 7*g + 3. Let u be 2 - (5 + -3) - (12 - 5). Give u*j(w) - 4*y(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8426503367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -485\/6 - -81. Is l > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 8 - -9) + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35993?\nAnswer: 35993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -15, -3*l + 2*l + 3*w + 5267 = 0. Let u(n) = -391*n - 10*n**2 + l*n**3 - 6 + 395*n + 6. Let g be u(-6). Round g to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8999, -8995, -8991, -8987, -8983, -8979?\n\"Answer: 4*a - 9003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3340 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3944*h - 99. What are the prime factors of i(-2)?\nAnswer: 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-219)\/(-73)*25\/(-30).\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3159 and 729.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 680397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (439421 + 1219*d - 439421)*(-d - 1 + 1)*(-6*d**3 + 3*d**3 + 4*d**3).\nAnswer: -1219*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzhf when four letters picked without replacement from fphzfxm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6765048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 5) in base 12?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11639 + 53. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**5 - 3*f**4 - 12*f**3 + 12*f**2 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2319065, -4638120, -6957175, -9276230, -11595285, -13914340?\nAnswer: -16233395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 576 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - ((15 - -7) + -27).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t - 22. What is x(-7)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 7 + 3 + 6 - 17*k**3 - 2 + 3*k as f*k**3 + o*k**2 + d + b*k and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.128 + 0.128. Let h be ((-24)\/(-132) + (-39)\/154)*2. Which is the second biggest value? (a) -5 (b) h (c) 4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 - 432?\nAnswer: -41d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**3 - v**2 - 2*v - 1. Let k be o(-1). Let f(g) = 6 - 7*g - 22*g - 2. Is f(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 10*l - 1. Let o(h) be the first derivative of 1\/2*h**2 + 173 + 0*h. Calculate z(o(c)).\nAnswer: 10*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**4\/7 + 304*p**3\/7 + 1650*p**2\/7 - 14804*p\/7 + 12848\/7 = 0?\nAnswer: -146, -11, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 417, 0 in increasing order.\nAnswer: 0, 3, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5951 + -5951.5. What is the third smallest value in -9, n, -3\/52?\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 431 - 603. Let d = -188167483973 + 188167483801.000000339. Let l = d - x. What is l rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1836601 is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 106510916 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10 + 19 - 5\/1. Solve d = -4*k + 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3294 or -3303?\nAnswer: -3303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1225 + 1228. Sort 4, -8, -7, n in descending order.\nAnswer: 4, n, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 602, 1197, 1818, 2465?\nAnswer: 3138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11417 - 11419. What is the closest to -5\/34 in s, -1\/11, 0.3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3)*i**(-1\/7)\/i*(i\/((i*i\/(i\/i**(1\/6)))\/i))\/(i\/(i\/(i\/(i*i**5)))*i) assuming i is positive.\nAnswer: i**(29\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15318 + 5?\nAnswer: 15324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 13 = -q + 35, 4*o + 3*q - 11 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 5:06 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*t + 3464 = -28978, -3*i + 3*t = -19440. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2. Let q be (12\/(-10))\/(4\/(-30)). Let x = q - 9. Let b(j) = x*j + 0*j - 2*j + j. Calculate k(b(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2902 - 2905. Let p = 0.2 + 0.2. What is the closest to s in -3, -0.4, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 + 3*y**4 - y**4 + (6*y**2 - y**2 - 3*y**2)*(8*y**2 - 3*y**2 - 3*y**2) + 0*y**3 + y**4 + 0*y**3.\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/20)\/((-1)\/(-5))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1120)\/68)\/(-4) + 3 + -7. Which is the third smallest value? (a) -1.5 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -3, 25 in descending order.\nAnswer: 25, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 606961 (base 11) to base 9.\nAnswer: 1746051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 2\/25, 5, -31580?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**3 - 14*i**2 + 77*i - 16. Does 23 divide h(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 - 93. Suppose c*h - 3*h = 864. Suppose -5*i + 11 = -2*x - 35, 4*x = -3*i - h. Is -34 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -38.149, 0.9, -1\/4, -28, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 18 = 2*s, -24*a + 29*a = -3*s + 28 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8850111 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(152) + (sqrt(152) - -2*(sqrt(152) - -1*sqrt(152))) + sqrt(152))\/(sqrt(512)*1) + 3)**2.\nAnswer: 21*sqrt(19)\/4 + 1507\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnyonotyowwwtc. Give prob of picking 1 n, 1 w, and 1 y.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**2 + 74*z - 32. Let k be v(18). Let m be ((-14)\/8)\/(3\/(-36)). Let j = k + m. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a century in years?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 + 65*l + 4225.\nAnswer: (l + 130)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -106400139 divided by -3?\nAnswer: 35466713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1001\/6 + -168. Find the common denominator of g and 3 + 1 + 2986\/(-252) - 8\/(-14).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10163 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 2670688?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(314 + 2*r**2 - 314) + 0*r**2 + 3*r**2 - 2*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**4 + 1132*a**3 - 50280*a**2 - 5497600*a + 345856000 = 0?\nAnswer: -70, 80, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from {b: 2, m: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*g - 268 + 772 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*f = -8. Let z = -6 - -12. What is the common denominator of 7\/z - (f - 11) and -75\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/4)\/(-38)*3*(-184)\/138?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 8) + -3 + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 254 or -926?\nAnswer: -926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16651764 divided by -8.\nAnswer: 4162941\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**5 - 6*d**5 + 0*d**5)*(-5 - 17 - 1).\nAnswer: 46*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 233449 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 10. Let n be (-438)\/(-24) - (-3)\/(-12). Suppose -j + 0*l = 3*l - n, -4*j - 3*l = -72. What is the lowest common multiple of j and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -33*l. Let x(a) = a - 1. Let b(i) = -4*i + 6. Let o(y) = -b(y) - 6*x(y). Give p(o(g)).\nAnswer: 66*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/2368512 and -29\/30720?\nAnswer: 23685120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19 - (4\/1 + -2). Suppose -3*a = -202 - 71. Let x = -6 + a. Calculate the highest common factor of x and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318705 is divided by 12712.\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 9*c + 6*c = 113, 2*h - 44 = c. Solve 3*w = -3*b - b + h, 3*b = 5*w + 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 80 (b) 35 (c) 22 (d) -1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 549781103 to the power of 1\/2, to the nearest integer?\nAnswer: 23447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 2. Suppose c - v + 2 = -b*v, -2*v - 14 = -3*c. What is the derivative of -c*h**3 + 3 + 0*h**2 - h**2 + h**2 wrt h?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205158*t**2 + 102582*t**2 + 102577*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**3 - 5*t**3 + t**3)*(-2*t - t**2 + 2*t) + (2*t**2 - 3*t**2 + 4*t**2)*(-3*t**3 - t**2 + t**2).\nAnswer: -10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 30734.\nAnswer: -13\/30734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.347 + 1.857. Let j be (-5)\/(-3) + (2 - 3). Is j less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:10 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.9, -0.2, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c - 13 - 6*c - c**2 - 3*c + 0*c.\nAnswer: -(c + 1)*(c + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 2621870?\nAnswer: 18353090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4152\/4181 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(63616\/213))\/(4\/210)*(-4)\/(-1)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -100221011220?\nAnswer: 100221011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 94*i**2. Let o(p) = p**2 - 15*p + 113. Calculate o(v(n)).\nAnswer: 8836*n**4 - 1410*n**2 + 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 323 - 315. Solve u*l + 1 = 9*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 57270?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 188 + -134. Suppose -f = 3*f + 2*t - h, -3*f - 3*t = -42. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u - 4460 = 0. Let x = 8981\/4 - u. Find the common denominator of x and 19\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**3\/3 - 2*f**2 + 1. Suppose -12 = 8*h - 10*h. Is 12 a factor of p(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**3\/a)\/(a*a**(2\/9)))**(-3\/8))**(1\/6) assuming a is positive.\nAnswer: a**(-7\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -37.\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*l + 4 = 3*l, -3*l + 3 = 0. Suppose 10*w = n*w. Suppose w = 7*g - 2*g - 30. Which is smaller: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38450, -75653, -112854, -150053, -187250?\nAnswer: -224445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -21. Let h be r\/2*(-54 - 1). Suppose 6*d = 11*d - h. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*y - 6 - 28. Let q(o) = 30*o**3 + 4*o**2 - 4*o - 12. Let i be q(y). Which is smaller: i or -229?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2096806*t**5 - 16*t**4 - t**3 + 39827*t**2 + 1505 wrt t.\nAnswer: -125808360*t**2 - 384*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-four fifths of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b + 9*b - 40*b**2.\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -206*g**5 - 2025*g**3*t**3 + g*t**2 + 1329*g*t - g - 63*t**3 wrt g?\nAnswer: -4120*g**3 - 12150*g*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -345727, -345707, -345689, -345673, -345659, -345647?\nAnswer: -345637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.4 + -2.4. Sort 2\/3, -2\/5, y in decreasing order.\nAnswer: y, 2\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)*-2 + -6*((-3 + sqrt(2))**2 + sqrt(2)).\nAnswer: -66 + 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -450, 0, -4, -2, 3, 137 in ascending order.\nAnswer: -450, -4, -2, 0, 3, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**3 - f**4 - 9*f**3 + 5*f**3 + 2 + 0 to the form p*f**2 + r*f**3 + c + b*f**4 + o*f and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 + 40*y = 0. Calculate y.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6717? (a) 3\/47 (b) 1\/9 (c) -4 (d) 4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + -4 + -2 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12765 and 5180?\nAnswer: 357420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, d: 1, s: 9, r: 1}. What is prob of sequence dsr?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23304 rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 < 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 8*r**2 + 2*r - 4. Let l = -209 - -211. Let u(f) = -9 + 5*f**l - 4*f**2 - 8 + 16. Suppose 4*o - 2*b - 26 = 0, 10 + 3 = -3*o - 5*b. Give o*u(p) - t(p).\nAnswer: -4*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 41. Let z = c - 10. Let s be 2\/(208\/(-536)) - -5. Is z != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 268 (b) -5 (c) 2\/13 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 476800 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: Calculate (((-231)\/(-165))\/(1\/(-5)))\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-126)*-6*(-383)\/(-766).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.4 times 40?\nAnswer: -1816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + y + 8, -4*h + 23 = -5*y - 46 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(4 - 3) - -21. Suppose f*j + 8 = 21*j. Let k(u) = 5*u**2 - 124*u + 90. Let r be k(24). Sort -3, r, j in descending order.\nAnswer: j, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 - 75*5772\/4550.\nAnswer: -57\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 7*m**2 - 4*m + 13. Let w be x(-7). Let l = w + -38. Solve 2*c - c = l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181.91262 months in decades?\nAnswer: 1.5159385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8328360 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6293 = -436570*f + 436367*f for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126 + -98. Let y = -5 + q. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 634610976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2664 is divided by 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 1:18 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 32600 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000932 rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(-5 - -4))\/(6\/(-4)*(-298)\/(-447)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -228, -333, -438, -543?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - 321*q + 6*q**3 + 321*q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - w**2 - 1. Suppose 6 = v - 0. Suppose 15*p - 17*p = v. Let n(h) = -7*h**3 - 8*h**2 - 8. What is p*n(x) + 24*z(x)?\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 44*c - 21*c - 22*c. Let d(b) = 18*b. Calculate d(j(o)).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6625? (a) -1 (b) 0.3 (c) 6.999\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 3:13 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 440201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 134*s - 137*s. Suppose 0 = -q + 23 + 57. Suppose -3*r - 2*r + 128 = -2*d, -4*d = 4*r - q. Calculate the highest common divisor of s and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = -10*j - 22 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/11, -68977, -14?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - x + 3*x)*(6 - 30 - 5)*(x**2 + 0*x**2 - 6*x**2).\nAnswer: -145*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 924837*d**3 - 7*d**2 + 7848683*d?\nAnswer: 5549022*d - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 1, -11, -41, -95, -179?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*n**3 - 224\/3*n**2 - 445\/3*n - 74.\nAnswer: -(n + 1)**2*(n + 222)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 3*s - 19, -3*w + 2*s + 8 = 3*s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2736 = -6*z + 9*z, 0 = -3*z - 2*j + 2711. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 70*l + 522. Let f be w(-17). Which is smaller: -631\/7 or f?\nAnswer: -631\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + w + 9 = 0, l + 6*w = 4*w. Suppose 0*y - 3*g = 5*y - 39, -l*y + 6 = -2*g. Solve y = -4*b + 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17365523.\nAnswer: 7, 439, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1614315 and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9))**(-47)\/(b**6\/b**22) assuming b is positive.\nAnswer: b**439","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 9*g - 191. What is l(21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3185.82 - 5.2492906.\nAnswer: 3180.5707094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 10*l**2 + 17*l + 16. What is t(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100159377 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 21792. Let r(o) = o. What is s(r(i))?\nAnswer: i + 21792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208819761?\nAnswer: 3, 69606587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b - 3*b + 5*b. Let t(r) = r**2 - 2188 + 2188. What is t(z(n))?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4300122 + 21?\nAnswer: -4300101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*d - 24 = 0, -3*l = 2*d - 13 - 87. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 76*k + 656. Calculate v(16).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**4\/24 - q**3\/12 + q**2\/2 - 9*q - 4. Let z(b) be the first derivative of j(b). Factor z(i).\nAnswer: -(i - 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 7*u - 420 = 0. Find the common denominator of -103\/14 and (-8)\/12 - (-286)\/u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivrxxxrvkr. Give prob of picking 1 x, 1 k, and 2 v.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 7*f + 29)*(2*f + 0 + 0) + 1 + 2*f**2 - 1.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-7)*28\/180*2. What is the nearest to 1\/3 in 4, -4\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142 + -450335?\nAnswer: -450521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.06, -280, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (223 - 233) + (-2 - (-5 - -2))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 23. Let g be k(20). Let r be (-2 - g\/2)*0. Solve 3*x - 3 = 0, -3*y + r*x + 5*x = -1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by 5\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/8*-3 - 106*36. Let f = -2433 - u. Is f a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8184 and 37711624.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 49*s**2 - 47*s - 2. Let l be b(48). Solve -4*a - 21 + l = 5*y, -2*a + 8 = -2*y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -9*c**2 - 28*c - 18. What is the common denominator of 65\/237 and o(-3)?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5909135\/8 or -738641?\nAnswer: -5909135\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 717, 0, -2, 5, -3, -72 in descending order.\nAnswer: 717, 64, 5, 0, -2, -3, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 136423 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 5:08 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17595)\/(-17)*(-311)\/(-818916). Let p = 2\/9749 - o. Calculate the common denominator of p and 133\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*f, 2*y + 4*f = 5 + 13. Let g(h) = 2*h - 4*h**3 - h + 9*h**y - 3*h**2. What are the prime factors of g(2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-7)\/a)\/a*a**27)\/(a*a**(-5\/7)*a**(2\/7)\/a) assuming a is positive.\nAnswer: a**(129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6) + 10\/3. Suppose 4*g = -g + 30. What is the third derivative of 3*s**4 + 2*s**4 - s**2 - g*s**h wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.875 - -0.125. Let i = f + -11. What is the smallest value in -1, -0.4, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 + 59. Let n(q) = 2*q + 14. Let a be n(z). Suppose k - a*k - c = 18179995, k + 6060020 = 4*c. Round k to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 2:10 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 1. Let l(d) = d**2 + d + 1. Let i(u) = -2*u + 0 + 3*u - 7. Let a be i(8). Let q(x) = a*h(x) + l(x). Find the second derivative of q(o) wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 23266?\nAnswer: 23265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.15 - 2.15. Let j = -80 + 79.7. Let m = 0.9 - -0.1. What is the second smallest value in j, m, r, -1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**3 + 6*v**3 - 20*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/11972115 and -61\/15.\nAnswer: 11972115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 579 = 4*v + 4*j, -3*j + 118 = v. Calculate the remainder when v is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -1168, 1, -5, 0.3 in descending order.\nAnswer: 1, 0.3, -3\/5, -5, -1168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -29. Let k = i - -39. Let z(g) = 2*g**2 - 15*g + 14. What is the remainder when z(k) is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10222 + 12110100?\nAnswer: 12121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5281 or -139?\nAnswer: -5281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.069? (a) 3\/137003 (b) 1 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**4 - 1261 - 5*l + 3*l**4 + 1259 as f*l**2 + c*l**4 + r*l**3 + m*l + k and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6451.\nAnswer: 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x - 2*x - 86033 + 86033 + 4*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/2 - 1 - 0\/1. What are the prime factors of -1*(-85)\/3 - (-4)\/s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 4:04 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o + 20. Calculate y(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s + 6. Let i be p(-9). Let q be 2\/(-8) + (-45)\/(-20). What is the first derivative of 31*r + 16 - 22*r**q - i*r + 38*r wrt r?\nAnswer: -44*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 + 3.8. Let x = 17 - 18. Let a be 1\/3 + (-1)\/(-15). What is the third smallest value in a, z, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 11. Let c = -35 + f. Solve -c*d + 3*d - 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l + 0*l**3 - 1\/6*l**4 - 3\/2*l**2 + 0. Differentiate a(c) wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 377, 391, 401, 395, 361, 287, 161, -29?\n\"Answer: -2*j**3 + 10*j**2 - 2*j + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 132782188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298828?\nAnswer: 2, 74707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 0)\/(1\/1). Suppose 6 = g - v. Suppose 3*q - g*q + 76 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.3. Let l = -0.449 - -0.21. Let m = -0.539 - l. What is the closest to -0.2 in -1\/2, m, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 102, 225, 358, 507, 678, 877, 1110?\n\"Answer: w**3 - w**2 + 119*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - p**2)*((-1 + 6 - 1)*(4*p + 4 - 4) - 12*p + 1 - 1) + 10*p - 10*p + 9*p**3 - p**3 + p**3 - p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66042853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 191\/2 (b) 1\/22 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 304*u + 1494*u - 59*u in the form k*u + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1016705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 7:38 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 738997712 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9 = -q, -5*n + n - 4*q = 0. Suppose a = -n*a - 24. Let w(g) = g**3 + 7*g**2 + 3*g - 4. Calculate the remainder when 26 is divided by w(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003306185048 to seven decimal places.\nAnswer: 0.0000331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 285 by -57.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18951.78531694 and -0.1.\nAnswer: -18951.88531694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 74.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176042 = 8*w - 70910. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2466167 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327980146.\nAnswer: 2, 13, 1063, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(567)*-1)**2 + 5*(sqrt(567) + ((sqrt(567) + 0 - sqrt(567) - sqrt(567)) + sqrt(567))**2).\nAnswer: 45*sqrt(7) + 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -446 - 392d?\nAnswer: -3d74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 95\/12, -3\/2 in descending order.\nAnswer: 95\/12, -2\/13, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -258 or -257?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d**3 + d. Let r = 0 + -3. Let x(f) = -f - 4. Let u be x(r). Determine l(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = q - 5*p + 22, 4*p = -2*q - 46. Let j = q - -28. Does 5 divide (102\/(-18))\/((-1)\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 0*q = -2*q - 36, -4 - 59 = z - 59*q + 64*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 3466.7658 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 9*o - 66. Let v(k) = -k**3 + 12*k**2 - 12*k + 12. Calculate the smallest common multiple of v(o) and (-1)\/(-2) + (-27)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/7 - (-15)\/7. Let w(r) = 14. Let y(c) = c + 1. Let x(q) = g*w(q) - 6*y(q). What is the tens digit of x(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (53 - 62 - -47)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (-10 + 18 - -21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 3934633903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + 2223687?\nAnswer: 22236a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 305794880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 6*h - 12. Suppose -o + 0 = -2, -4*u = 2*o - h. Suppose -4*l + 0*l + 204 = u. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -111 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.81*-5.\nAnswer: 4.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 122*v + 23. Is p(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*l + 2. What is the third biggest value in -1\/6, l, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -10*p**2 + 3*p + 17. Let x(u) = -15*u**2 + 5*u + 27. Calculate -8*j(q) + 5*x(q).\nAnswer: 5*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3097 - 577. Is n a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -861, -852, -843, -834, -825?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 42.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6) + (-12)\/(-9). Suppose 2*b + d + 8 + 36 = 0, -d - 116 = 5*b. Let s = b + 49\/2. Is s smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -142*w + 1. Let l(i) = -i**2 - 90*i + 247*i - i**2 - 157*i. What is l(x(s))?\nAnswer: -40328*s**2 + 568*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*g + 1. Let a be (g\/(-2))\/((-18)\/24). Let -u**a - 15*u + 11*u + 4*u**2 + u**2 = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 43, 89, 153, 235, 335, 453?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2885880 is divided by 5356?\nAnswer: 4352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26192 divided by 1637.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, q: 1, a: 2}. What is prob of sequence waq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -24*t + 72. Let n be u(6). Let c = 156 + n. Calculate the greatest common divisor of 63 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/23)\/l**(-1) assuming l is positive.\nAnswer: l**(22\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*(sqrt(171) - (2*sqrt(171) - sqrt(171))))\/(-1*sqrt(1296) + (-5*(sqrt(27)\/sqrt(3) - sqrt(9)) - sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (7 + -11 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 8*h - 17. Give l(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1876\/35)\/(1\/25). Suppose -3*l = -l + w. What is l rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 14 - 8 + (-2 - 3 + 4)*(1 - 2 + 0) - 4 + 0 + 3)*(0 + 5 - 2)*(-68*z**3 - 9*z**3 - 35*z**3).\nAnswer: -336*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157644 is divided by 118?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 2*y**5\/45 - 4*y**4\/9 + 10*y**3\/27 + 14*y**2\/9 + 469. Factor s(x).\nAnswer: 2*x*(x - 7)*(x - 2)*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 13 = 4*o + 1, 4*o - 24 = 4*m. Let w(u) = -434376*u**3 - 4*u**2 - u - 4. Let z be w(-4). Suppose 6*v - z = o*v. Round v to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*q = 224, -2*i + 10 = 3*q - 98. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 129 (b) 1\/11 (c) -5 (d) -3.8157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3723740043742\/227 + 16404077678. Let w = 63484 + f. Find the common denominator of -46\/7 and w.\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4319 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-135)\/(-20) + -4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 s, and 2 j when four letters picked without replacement from {f: 1, j: 4, s: 1, q: 6, r: 3, c: 4}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccllcccl. What is prob of sequence clll?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -1, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2\/125 of a meter?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 736382926 to the nearest integer?\nAnswer: 27136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yky when three letters picked without replacement from {w: 6, y: 3, k: 8}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 10 (b) 31 (c) 3\/19 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35713.8524 and -0.2?\nAnswer: -7142.77048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4196676 and 396?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -66*(-2 + (-24)\/18). What is the greatest common factor of 44 and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4435 + 2723 - 35*m**2 + 1712.\nAnswer: -35*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 9459*t**2 - 7460784*t - 7451328.\nAnswer: -3*(t + 1)*(t + 1576)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/20 - 0)*(4 - 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1282083851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 = -i. Let y be (110 + i)\/((-6)\/188889). Let t be y - (-1)\/1 - -1. What is t rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, 3, 74, -3, 14, -5 in descending order.\nAnswer: 74, 14, 5, 3, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/((-2)\/260). Suppose -f = -5*z + 39, -g = -5*z + 5*f - 10. Suppose 4*s = z*s - 12. Solve -3*a - 2*a + 5*d = 25, -3*a - s*d = 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 344385 = i, -5*j + 344361 = -412*i + 413*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/2))**(18\/7)*(c**3*c)\/c**4)**(-22))**36 assuming c is positive.\nAnswer: c**(-7128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u**2 - 6*u - 4. Let b(l) = 10*l**2 - 7*l - 3. Let x(g) = -31*g**2 + 21*g + 8. Let q(i) = 7*b(i) + 2*x(i). What is 7*c(f) - 6*q(f)?\nAnswer: f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 685869341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + z + 11, 0 = -5*w - 2*z + 28 - 47 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31692259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3681 times 19\nAnswer: -69939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092560299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from echuecc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**5\/30 + 5*p**4\/24 + p**3\/2 + p**2. Let n = 0 - 3. What is the units digit of i(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**7\/280 - c**6\/20 - c**5\/8 - 13*c**3\/3 - 29*c**2. Let y(s) be the first derivative of x(s). Let y(k) = 0. Calculate k.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 divided by 605934?\nAnswer: 275\/605934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 169 + -274. Let l be (-329)\/g - (2 + 1). Is l at least as big as -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, c: 7}. What is prob of sequence pc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 - -108. Let v be (-20)\/(2\/q*(-4)\/4). Calculate the highest common divisor of v and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 5 - z**2 + 5 - 4*z + 5*z - 3*z + 14*z**3 - 11 as s*z**3 + y*z**2 + n*z + u and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 11*s**2 + 2*s)*(-120 + 82 + 86) + 3*s - 2 + 0*s**2 + 1 - s**2 as v*s + b + i*s**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**7\/126 - o**6\/90 + o**5\/20 + 5*o**4\/36 + o**3\/9 - o - 18. Factor w(s).\nAnswer: -s*(s - 2)*(s + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Let c(v) = -4*v**2 + 4*v + 2. Let y(a) = -5*a**2 + 5*a + 3. Calculate z*y(d) - 3*c(d).\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 5*m**3\/3 - 3*m**2 + 4*m + 9. Let z be o(-6). What is the highest common factor of 20 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49811907 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 19 = -3*q, -i - 3 + 2 = 0. Suppose 3*d + 2*h - 22 = 0, -2*d - q*h + 2 = -10*h. Determine p so that -2 + 38*p**2 + 12*p + 10*p + d - 14*p**2 = 0.\nAnswer: -2\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2686 a factor of 1210807233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38655096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5))**(-47))**(-19\/6) assuming n is positive.\nAnswer: n**(-4465\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3110013110 (base 4) in base 2?\nAnswer: 11010100000111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 210001000000011 (base 3) in base 14?\nAnswer: 16b047a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 297*k**2 + 24186*k - 91800.\nAnswer: -3*(k - 50)*(k - 4)*(k + 153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60239199113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000011221 (base 3) in base 4?\nAnswer: -10311220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36\/79 + -2421\/632. Find the common denominator of -121\/10 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u = 6*u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.815031 + 1.815. Round k to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, z: 4, t: 2}. Give prob of picking 1 t and 3 u.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1444032 - -122?\nAnswer: -1443410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 89*v - 88*v - 56. What is the greatest common factor of 42 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of -7 - (13 + -3856) - 4\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6070 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: Sort 2016, 0, -2, 1, -6, -5, -22 in increasing order.\nAnswer: -22, -6, -5, -2, 0, 1, 2016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 - 4)*(-25*f + 14*f + 2*f).\nAnswer: 99*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 885778 is divided by 3868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-770)\/(-175)*(-1150)\/21505\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1600)\/(-12)*2382\/3970.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10*f + 348. Let k be m(35). Let v be (-3)\/k*(192\/40)\/6. Determine c so that v*c**4 + 0 + 54\/5*c**2 - 24\/5*c - 36\/5*c**3 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2152 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 = -84*u - 130. Let b(w) = -w**3 - 10*w**2 - 6*w - 1. Let o(j) = 3*j**3 + 29*j**2 + 18*j + 4. Let a(f) = -11*b(f) - 4*o(f). What is a(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/(-10) + 80\/24*(-117)\/65?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w + 4119 = 369. Let d be (-725)\/w + 2\/(-12). Let -d*p**4 - 12*p**3 + 0 - 16\/3*p - 2\/3*p**5 - 40\/3*p**2 = 0. Calculate p.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 + 8*f**2. Let c(q) = -q**2. Suppose 2*m = -3*o - 1, 25*m + 3 = -4*o + 24*m. Determine o*s(j) - 8*c(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 31*o = -32*o, 3*w = 5*o - 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llltlfltlltllll. Give prob of sequence lt.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 4, 7, -1 in descending order.\nAnswer: 7, 4, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, r: 1, a: 1, k: 1, i: 1}. Give prob of picking 1 c, 1 r, and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -11*u. Let l(w) = -w. Let b = 7 - 2. Let q(i) = -7*i. Let x(r) = b*l(r) - q(r). Give x(o(c)).\nAnswer: -22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*v*w**2 + 8663863*v*w + 982*w**3 - 38*w**2 wrt w.\nAnswer: 12*v + 5892*w - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 378829*o. Let i(m) = -10*m + 1. Calculate i(n(b)).\nAnswer: -3788290*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 0*h - 228*h**2 + 0*h**3 + 0 + 0*h**4 + 1\/60*h**5. Let k(b) = 11*b**2 + 19*b**2 - 2*b**2. What is k(x(u))?\nAnswer: 28*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w - 14. Let d(y) = 3*y + 17. Let j(l) = -3*d(l) - 4*g(l). Give j(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/6 - 439*z**2\/6 + 16085*z\/2 - 15939\/2 = 0. Calculate z.\nAnswer: 1, 207, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 5*u + 35466, 0*r - 3*r + 26565 = -2*u. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 13*w + 8. Let d be u(-12). What is the units digit of ((-12)\/10)\/(d\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 1 = -0*o - r, 3*r + 11 = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - l**3 + 5*l**3)*(-l + 4*l - 4*l) + 2*l**4 - 3*l**4 + 2*l**4 - 5*l - l**4 + 5*l - 3.\nAnswer: -2*l**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-4)*j\/((j\/j**(1\/3))\/j))\/(j**0)**(-2\/93))\/(j*j*j\/((j*j*j**2)\/j*j)*j**0\/j*j**(-5\/6)*j**(-3)) assuming j is positive.\nAnswer: j**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + 12\/(-3 + 0))\/1. Suppose 3*b = -5*u + 105, -3*b + u + 104 + 1 = p. Which is smaller: b or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9154, 9152, 9150, 9148, 9146?\n\"Answer: -2*s + 9156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3244230 (base 6) to base 13\nAnswer: -58773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11648 (base 9) to base 16.\nAnswer: -1e8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5346, 3791, 1194, -2439, -7102, -12789, -19494, -27211?\nAnswer: -35934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 10021001212022?\nAnswer: 10021001212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 3281?\nAnswer: -3280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4))**(17\/2))**(4\/11) assuming o is positive.\nAnswer: o**(-136\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116 + -54. Suppose i = 3*m - 13. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 33*z + 19. Let a(k) = 72*k + 37. Let g(c) = 6*a(c) - 13*p(c). Calculate g(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*g - 770 = 0, 485*l - 482*l - 3*g = 1218. What is the greatest common factor of l and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333649?\nAnswer: 109, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)\/w*w*w**(-4)*w*w)\/(w*w\/w**2*w*w**(-2))*w**(-9\/5)*w**0\/(w\/(w\/w**(-1))) assuming w is positive.\nAnswer: w**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -15. Calculate the common denominator of (131\/o)\/(24\/(-10)) and 101\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5258 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 279\/(-31) - (0 - 19). Solve -4*j + 6*j = -r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5610 + 5613. Solve j + g*j = 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -0.3, 3\/8, -0.14, 44?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1712 - 171. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*k + 155*k + 33 = 82*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 16372813.1\nAnswer: 32745626.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/5, -1\/3, -1\/4, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) -0.2 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102\/83 + -1923\/664. Let k be ((-4)\/38)\/(78\/(-15)). Let l = 10162\/1729 - k. Calculate the common denominator of l and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/747 + -484\/5229. Suppose 4*i = -4*l - 0*l + 36, 0 = 5*l + 4*i - 41. Suppose -l*b + 5*a - 20 = 0, -b + 0*b + 4 = a. Is p <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 359 + 327*m - 718 + 354.\nAnswer: 327*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -643557*4.\nAnswer: -2574228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3869 divided by 1.\nAnswer: 3869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (48\/52)\/(-6) + (-4)\/(-26). Suppose 0 = s + q + 35, 5*s + l*q = 3*q - 199. Which is smaller: -37 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 30 = -2*t. Let l = t - -14. Let g = -11 - l. Solve 0 = -5*p + g + 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*r + 51355, -2525*r = -4*f - 2522*r + 205332. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26002335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -439 - 46\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7866037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 628808400?\nAnswer: 628808400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-4)\/6) + -1. Suppose 12 = 4*z + d + f, -14 = -5*z - 2*d. Let c be ((-9)\/(-8) - 1)*z. Is c at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - -5) + 39 - 17?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7046 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: Suppose 7*q - 3*q = 184. Calculate the remainder when q is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3445)\/(-20) - 3\/(-4). Suppose b = 5*b + 8, b - j = -5*y. Let g = y + -21. Solve -5*w = -4*o - 6, 3*w + o = -o - g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.5 (b) 2 (c) -4.3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.218 + 1.11. What is g rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3137 is divided by 90?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26940, 107428, 241574, 429378?\n\"Answer: 26829*a**2 + a + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y - 4*y + 18*y. Let o(d) be the third derivative of d**4\/8 - 2774*d**2. Calculate f(o(h)).\nAnswer: 51*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27092 and 29198?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72040460?\nAnswer: 2, 5, 167, 21569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 11*p - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 179\/((-326675)\/(-438))*(-5)\/(-2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4. Let g(w) = -w + 9. Let x(n) = 4*g(n) - 9*l(n). Let h(k) = 8*k. What is x(h(s))?\nAnswer: -32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*-2*sqrt(684)*6)**2 + 1.\nAnswer: 5318785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s = -269*s - 7803 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-117)\/(-195) - (-1 + (-7)\/5). Suppose 3*p + 12 = -0*p. Let h = 9 + p. Solve y = h*a - 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -231, -475, -723, -975, -1231, -1491?\n\"Answer: -2*w**2 - 238*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 50. Is 5 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103857, 103843, 103829?\nAnswer: 103815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*g**2 - 21*g**5 + 26*g**2 + (8*g + 3*g**4 - 8*g)*(-3*g + g - 4*g).\nAnswer: -39*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 4729 - 3350. Do 1377 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - 23. Let i(l) = 2*l - 4. Let p be i(3). Suppose j - n = -p*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*j - 90 = -124*j. Calculate the remainder when 476 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -64, -81, -98, -115, -132?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 210409 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 107*v**5\/60 + 959*v**4\/24 - 788*v**2. Find the second derivative of u(b) wrt b.\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 5*m - 5 - 5, 0 = -2*m. Is -44*1*u + -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/203511216 and 119\/25968.\nAnswer: 203511216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, p: 1, g: 1, n: 1, o: 2}. Give prob of picking 1 l, 1 n, and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uusssmmss. What is prob of sequence mmsu?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 919473 and 0.4.\nAnswer: 367789.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-969)\/(-9) + (-3)\/(-9) - 1?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/80*(-10)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 9672*a + 2556128.\nAnswer: 4*(a + 302)*(a + 2116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 46\/(-56) + 1\/4. Let w = -19 + 18. Which is the closest to 1\/3? (a) w (b) 2\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, -6, 0 in increasing order.\nAnswer: -10, -6, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**2 + 2*g + g - 5*g + 12*g = 0. What is g?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12481509 a multiple of 1158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6886 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -274102 (b) -2 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 21. Suppose 12 = 2*z - g. Let t = z + -14. Solve v = -t + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -21591147.\nAnswer: -21591146.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-81)\/(-135)*(-10)\/(-6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -6. Suppose 2*k + 5 = v, -2*b = 5*k + 5. Suppose -2*p + 2 + 0 = b. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*19\nAnswer: -2.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1604 + 6281. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6823.\nAnswer: 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -171 - -193. Find the second derivative of 5*g**3 + 16*g - 5*g - l*g**3 + 2 wrt g.\nAnswer: -102*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22902 + 9*b + 22902.\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, j: 4}. What is prob of picking 1 u and 2 j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.2 and 29?\nAnswer: 27.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -12. Suppose y*c - 14 = 31. List the prime factors of c\/(-2)*154\/(-33).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 396 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**7\/105 - 41*b**6\/60 + 4*b**5\/3 - 3*b**2 + 63. Factor s(m).\nAnswer: 2*m**2*(m - 40)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 140.4869 to the nearest integer.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56\/3 + 19. Let i = 0.8 - 0.5. Which is the third smallest value? (a) i (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10752.9 and -4596.\nAnswer: 49420328.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.276 to two dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1120000100003 - -1?\nAnswer: 1120000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 5. Let u be d(8). Let c = u + 1. Solve -2*q - 6 - c = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1970928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n + 24. Suppose -4*v = 8 - n. Suppose -v*o = -6 - 2. Solve -o*q - 5 = 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 715137*r**3 + 7*r**2 + 13739887*r.\nAnswer: 4290822*r + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by (16\/(-7))\/(92\/(-966)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**2 + 2*x. Let l = 240 + 560. Let w(r) = -l + 800 + r. What is w(t(s))?\nAnswer: 6*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1243191 to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 939384, 939408, 939454, 939528, 939636, 939784?\nAnswer: 939978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 2 + 162\/(-26). Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-21)\/(b**(-7\/3)*b)*b\/((b*b**4*b*b)\/b)*b**(2\/7) assuming b is positive.\nAnswer: b**(-512\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/11 - 36030*l\/11 - 1625400\/11.\nAnswer: 2*(l - 18060)*(l + 45)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -200\/3 - -67. Let t = 2 - -1. Suppose t = 4*a - 5. What is the nearest to l in 3, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -118607*z**3 - 4*z - 84126 wrt z.\nAnswer: -711642*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -4.6. Let y = j + 2.2. What is y rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2418, -4840, -7266, -9696, -12130?\nAnswer: -14568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 62 = 81*g. Which is the nearest to -2\/15? (a) g (b) -5 (c) -0.4 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 95*o + 42*o - 11*o - 2646. Let y(m) be the second derivative of -7\/6*m**3 + 0*m**2 - 1\/12*m**4 + 0 - o*m. Determine y(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36, 115, 208, 321, 460, 631, 840?\n\"Answer: s**3 + s**2 + 69*s - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - g - 5 + 0)*(4 - 1 - 2).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, 4, -473?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eess when four letters picked without replacement from eessesssssesss.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-3))\/(5\/(-60)). Suppose -b*l = l - 60. Let c = -12 + l. Solve -4*n - 25 = i, c = -4*n + 2*i + i - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/10 and -41\/380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(630) + (sqrt(630)*1 - sqrt(630) - sqrt(630)))*3 + (2*sqrt(630)*-2 - sqrt(630)))\/(sqrt(1000)*-1*6).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 12. Let f be c(-5). Solve -f = -4*b - 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 3*b - 3. Let u be v(-2). Let t be 22\/33 + (-106)\/(-3). Let k = t - u. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - 111\/12*8\/(-14). Factor p*r**2 + 10\/7*r**3 + 2\/7*r - 4\/7.\nAnswer: 2*(r + 1)**2*(5*r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194, 366, 538, 710?\nAnswer: 882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580517241.\nAnswer: 3, 17, 19, 31531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**5\/20 + m**4\/3 + m**3\/2 - 5*m. What is the tens digit of h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 23. Let h be (-10)\/8 - 0 - -1. Let a = 0.3 - 0.5. What is the closest to 1 in p, a, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 63. Which is the nearest to 0? (a) n (b) 4\/3 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -62*j**2. Let q(r) = -5*r. Let a(u) = 4*u. Let n(p) = a(p) + 5*q(p). Give v(n(i)).\nAnswer: -27342*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 13, z: 5, l: 2}. What is prob of picking 1 l and 2 b?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-2\/11)\/b)\/b)\/b*b)\/b)**(-2\/31)\/(b**6*b*b**(-4\/9)) assuming b is positive.\nAnswer: b**(-19489\/3069)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155012 and 523380?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-3)*-1 - -20. Let d = o + -14. Let n(z) = -5 + 2 - d*z**2 - z**2 + 6*z**2. Determine n(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - o + 0*o)*(0*o**2 - 4*o**2 + 2*o**2) + (-6 + 4*o + 6)*(-48*o**2 - 61*o**2 + 27*o**2).\nAnswer: -332*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*u - 6146414 - 1980047 + 198235. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**5\/120 - l**4\/16 + l**3\/6 + l**2. Factor f(r).\nAnswer: (r - 2)*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54150717 greater than -54150719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (114\/(-22) - -5) + 10818\/(-33). Let b = g - -338. Calculate the greatest common divisor of b and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4927?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 10*w**2 + 5*w + 16. Let c(l) = 2*l**2 + l + 3. Let m = -28 - -17. Give m*c(q) + 2*h(q).\nAnswer: -2*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 3. Let c be f(-4). Suppose 0 = -d - c - 1, -4*x + 4*d - 20 = 0. List the prime factors of (x*12)\/(-2) + -2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 26940830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126.001113 - 126. Round r to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51? (a) 0.2 (b) -371 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 16*q**3 - 14*q**2 - 30*q + 11. Let c(b) = 3*b**3 - 3*b**2 - 6*b + 2. Let v(z) = 33*c(z) - 6*f(z). Factor v(u).\nAnswer: 3*u*(u - 6)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 208, 317?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12705082 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 32 - 46 - 37 + 134 + 26*f**2.\nAnswer: 26*f**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 885567000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 8052*u**2 + 7*u - 6. Is j(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101200310330 + 11?\nAnswer: 101200311001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyyuyyuuyyuyyqqy. What is prob of sequence yqy?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*((-2)\/(-1))\/2. Suppose 2212 = -7*r + 2254. What is the third derivative of -73*q + 5*q**r + 73*q - 16*q**w + 23*q**2 wrt q?\nAnswer: -1320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - 17411.\nAnswer: -17444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/16470 and -149\/21180420?\nAnswer: 21180420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(3) - (sqrt(12)\/sqrt(4) + sqrt(3) + sqrt(3) + -5)**2)*-4 + 2)*-1.\nAnswer: -215 + 124*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -72\/11 in 2, -5.5, 1, -5, 0?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12209 - 12208 - 13*h - 285*h.\nAnswer: -298*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 696029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 368114338 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -412*g + 147913. Determine p(359).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*g + 5*w + 23 = 0, 0 = -4*g + 3*w + 17. Suppose g*n - 4 = -0*n. Suppose 6*y + n - 32 = 0. What is the lowest common multiple of 4 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -1794361339?\nAnswer: 1794361338.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -201 (base 4) to base 2\nAnswer: -100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1431, -2888, -4345?\n\"Answer: -1457*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*(-3 - 1))\/1. Suppose -5*n + 36 + 1 = o*x, 2*x - 11 = -n. Let w be 2\/(-1) - -6*8\/12. Solve -x = w*h - 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 0.4 (b) -4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.9 + -2.4. What is the third smallest value in j, 0.3, 2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -1\/348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 4*v + 12, -d - 603*v = -602*v + 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0. Let d = -437 + 437. Which is the nearest to d? (a) o (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**11*p*p*(((p**(-29)\/p)\/p)\/p)\/p)**29 assuming p is positive.\nAnswer: p**(-580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-896448)\/(-377) + 2\/13. Let x = f - 52391\/22. Calculate the common denominator of ((-2)\/(-4))\/(2\/86) and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -11. Let m = y + 14. Let z be 23\/(3 + -1 + -1). Solve 2 = l, z - m = 3*a + 2*l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 11*o**4\/12 + 7*o**3\/6 + 9*o**2\/2 + 2*o. Is c(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*z**2 - 4*z - 3*z - 7*z**2 + 2446*z**3 - 2449*z**3 + 4*z - 10 to the form o*z + n*z**2 + c + b*z**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-5) + (-6492)\/(-10). Let i be (0 - u*-5)*8*-10. Round i to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + 5)**2 - ((sqrt(117)*-4)\/sqrt(9))**2)*-1.\nAnswer: -649 - 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**3 + 931925*g**2 = 0. Calculate g.\nAnswer: 0, 186385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/6)*j\/j**(1\/8))\/(j\/(j*j\/j**(-2\/5)))**33*(j**(2\/5)*j\/(j\/(j\/(j*(j*j*j**0)\/j)*j*j))*j)\/(j*j**(-1\/2))**22 assuming j is positive.\nAnswer: j**(4717\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8 and 240.499?\nAnswer: 248.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2236 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2462 and -803927?\nAnswer: 806389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 4\/9, -2\/3, -4, 4, 3 in increasing order.\nAnswer: -4, -2\/3, 4\/9, 3, 4, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3256 and -2.\nAnswer: -0.6512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 5*u + 10. Let z be l(-7). What are the prime factors of (z + 1 - -14)*7?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d + 71. Let b be z(-6). Sort 8, b, -4 in decreasing order.\nAnswer: 8, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 14*f - 32. Calculate s(-9).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*q, 4*q + 1621 + 1761 = -2*n. Let v = 601 - n. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11653 (base 7) to base 16.\nAnswer: -c04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2931.434um?\nAnswer: 0.002931434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16028588053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1553 + 11*f**3 + 1553.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (175 - 175 - 87*t)*(2*t - t + 0*t)*(-3 + 1 + 1).\nAnswer: 87*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 + 0)*(1 - 1 - 2*k) + k - 3*k + 5*k)*(-27*k**3 - 1 - 1 + 30*k**3 + 6*k**2).\nAnswer: -3*k**4 - 6*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hham when four letters picked without replacement from fzpzaffafafhmzfmha.\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.15 (b) -2 (c) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.037542 to three dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -89112000 to the nearest one million.\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 + -0.31. Let r be ((-8)\/(-80)*(25 - -45))\/(2 - 3). Sort 1, 2, r, o.\nAnswer: r, o, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.3 - -16.7. Let p = q - 19. What is the closest to -2\/5 in p, -1\/6, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*l + 45*l + 6 = -5*o, -3*o = 5*l - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-2)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w + w**2 + 0*w + w + (-22*w - 626 + 626)*(-2*w - w + w).\nAnswer: 45*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 1 - -1)*(-23)\/(-3). Does 23 divide d\/(-3)*(0 + -6 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90311723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/((-6)\/(-14) - 775\/(-2275) - 1)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94815708 a multiple of 526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7219*f + 5811. Is c(94) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a - 6. Let c(s) = s**2 - 5*s - 2. Let o be c(a). Suppose 5*p - 6 = o. Round p to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 16 = -h + 4*z, 0 = 3*h + 5*z - 18. Let o(p) = 25*p + 2. Let k be o(h). Let r be -2 - (-9)\/(k\/12). Solve m + 2 = -r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3052 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166160, 332079, 497998, 663917, 829836?\nAnswer: 995755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 199*t**2 - 475*t + 81. What is a(5)?\nAnswer: 2681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -458, -15\/4, 5, 916, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912.6 minus 0.1?\nAnswer: 1912.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.99 + -0.01. Let m = j + -7. Let n = m - -15.65. What is n rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12588599851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1244 - 1247 - (5 + (1 - 1))) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1893 + 1892.5. Let w = 6911\/4551 - 63\/41. Let s = w + 343\/555. Which is the third biggest value? (a) 1\/4 (b) s (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -18*u + 360. What is the remainder when h(12) is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -176*z - 53*z + 4809. Calculate the remainder when 1426 is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 339456 = -339402 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9438, -13, 5 in decreasing order.\nAnswer: 9438, 5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.9 - -33.7. Let j = -19.5 + -1.5. Let s = j + c. What is s rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 18755309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 4*z**2 - 5*z - 3. Let b be l(-5). Let t = b - -5\/2. Let n = 5.11 - 0.11. What is the third biggest value in 4, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5*d = -5, 4*d = 5*x - 23 + 56 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**3 - 3*z**2 + 2*z - 4. Let c be d(3). Suppose 4*n + c = 5*n. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, v: 3, w: 1}. What is prob of sequence vywv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*n + 2*n - 11, -2*g = 3*n + 14. Let f be (-44)\/(-3) - g\/3. Solve 2*t = 3*p, -3*p = t + f - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-4 + 1 + 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3 = 2*d. Suppose d*r - 10 = -2*r. Is r less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 18 + -27 + -50?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -711216 divided by -16164.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 19 = 5*g - 15. Solve -7*v = -3*v + g*n - 16, 5*n + 10 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(42\/(-35) + 2). Sort 0.5, h, 3\/4, -0.1 in ascending order.\nAnswer: h, -0.1, 0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 14*y**2 - y + 12. Let p be c(14). Let d = 0 - p. Let j(n) = 2*n - 3*n - n**3 - 2 + 4*n. Determine j(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3. Let i be n(0). Let p = 0.24 - 0.74. What is the biggest value in i, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u + 28*u - 2*u**2 + 10*u**4 - 14*u**3 - 2*u**5 + 14*u - 8 = 0. What is u?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 64*b - 128. Calculate z(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -141.06 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o*p**3 + 102*o*p**2 + 23*o*p + p**3 - 3 wrt p?\nAnswer: -6*o*p + 204*o + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**4\/4 + 5*g**3\/3 + 6*g**2 + 14*g - 10. Let s be d(7). Solve -2*j + 7*j = s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(98) + 0.\nAnswer: -2 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41678239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/3 + 4\/6. Let r(j) be the third derivative of -7*j**4\/24 - j**3\/2 - 204*j**2 - 540*j - 2. Let a(v) = -6*v - 4. Give c*a(n) - 4*r(n).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8130032653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-4) + 17 + -1. Let v = 18 - y. Suppose -4*b = -3*p + 14 + 16, -4*p + 40 = v*b. Calculate the smallest common multiple of p and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y - 4*f - 9 = 0, 40*y - f = 42*y + 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*o**3 - 380*a**3*o**2 + 149*a*o**3 + o**2 wrt o.\nAnswer: 12*a**3 + 894*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmwvptv. What is prob of picking 1 m and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -881 - -880. Is 5\/406 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 189658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**3 - 3*n**2 + 3*n - 3. Let s be o(2). Suppose 4*f - 27 + s = 0. Which is the biggest value? (a) f (b) 0.2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (592\/(-185))\/((-2)\/(-5)). Let f be 3*(-20)\/q + (-1)\/2. Solve -7*s + 3*s = -3*h - f, -10 = -2*h - s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 2 + 2 - (-1 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(68)*-2)**2.\nAnswer: -1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46335.7298333 less than 6?\nAnswer: -46329.7298333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-109 + 109 + 23*m)*(-2 + 0 + 0).\nAnswer: -46*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/(-75))\/((-36)\/90). Is 32.4 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -115 - -121. Calculate the lowest common multiple of q and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u - 2. Let f(n) = -242*n + 47. Let s(l) = f(l) + 2*k(l). What is the first derivative of s(v) wrt v?\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, q: 3, f: 3, c: 3, g: 1, k: 1}. What is prob of picking 2 c?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15880691?\nAnswer: 15880691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 177\/1043 - 4\/149. Which is the closest to -0.1? (a) -4 (b) -1\/101 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25\/1 - 30\/(-6). Which is smaller: h or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + -3.04. Let o be (2\/10)\/(59\/(-590)). What is the nearest to o in s, -1\/4, 9\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 0)*(-6)\/(-4). Let p = 455 + -152. Let i = p - 288. Sort i, 4, c in increasing order.\nAnswer: c, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9868 and 29604?\nAnswer: 29604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/141 and 95\/4.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 1:46 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3039 - 3033.937. Let j = -303 + 303.063. Let y = j - w. Put -1, 3, y in decreasing order.\nAnswer: 3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17393040 and 420.\nAnswer: 17393040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 4:36 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2800 + -5221. Let t be -1*2*n\/(-6). Let u = t - -1229. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*h - 356, 0 = 3*h - 5*x - 173 + 453. Let t = h - -85. Put 3, -6, t in increasing order.\nAnswer: -6, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -51\/16, -0.1?\nAnswer: -51\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) + (-1)\/(9\/(-6)). Let q = -39 - -23. Let f = q - -11. What is the nearest to 0.1 in f, k, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.24 - 0.15. Let p = r - -2.91. Which is the biggest value? (a) 1 (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 6:33 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*r + 21, 0*r = -s + r + 12. Solve 1 - s = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 228.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002009 to four dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -106.1 from -7.\nAnswer: 99.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.3 + -8. Let x = -5.97 - -6. Let l = 3.03 - x. What is the third smallest value in l, 0.5, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -176, 2, -14, -30 in decreasing order.\nAnswer: 2, -14, -30, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -16*l**3\/7 - 1282*l**2\/7 - 5024*l\/7 - 608\/7 = 0.\nAnswer: -76, -4, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -248 + 406. Let b = o + -158.1. Which is bigger: b or -74?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1641*-1.0516\nAnswer: 0.17256756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1197310 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, -5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from {c: 14, r: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than 1090?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-8*(-1)\/48.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 + 5*s - 9. What is the units digit of t(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4923379 smaller than 4923378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p**3 - 18*p**3 - 87*p + 5*p**3 - 23*p.\nAnswer: p**3 - 110*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwjwwwwwvjvvwvwjwjv. What is prob of sequence jjjv?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - 23*q**2 + 138*q**3 + 37*q**2 - 11*q**2.\nAnswer: 138*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - t**2 + 2*t - 2. Let q be u(2). Let h = q - 23. Let j = -12 - h. Solve j*w - w = -12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35993.\nAnswer: 35993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.11, 0.05, -0.3, 3\/2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 1. Suppose -5*j - 25 = 0, -2*z + 4*z = -5*j - 9. Suppose -3761*w + 8396 + 9775 = 6314 - 3187. Sort w, z, -4, m in descending order.\nAnswer: z, m, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32, -99, -220, -401, -648?\n\"Answer: -x**3 - 21*x**2 + 3*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -821.67 - -812. Round v to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 - -74. Let j = y + -63. Let w = j + 45. What is the third biggest value in -0.2, w, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 69 = -2*r, -l + 164*r - 169*r - 30 = 0 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 152*r**2 + 8207*r - 62. Let z be q(-54). Let h(i) = i**3 + 9*i**2 + 10*i + 10. Calculate h(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hchccchhhhhchhcc?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47132 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**5\/270 - 6*y**2. Solve w(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45371 and 1003?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/196257518?\nAnswer: 3\/196257518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 61*p**6\/30 - p**5\/2 + 19*p**4\/6 + 12*p**2 - p - 351. What is the third derivative of r(h) wrt h?\nAnswer: 1464*h - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -0.1 in decreasing order.\nAnswer: -0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 756 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 4*q**2 + 7*q - 4. Let w be b(5). Let i = w + -36. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56014.86l to millilitres.\nAnswer: 56014860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3850320.54 rounded to the nearest one hundred thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6) - 2\/6. Let s be (-7)\/(-1)*z*-30. Suppose -11*o + 6*o + s = 0. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 - 1958*r**2 + 1957*r**2 - 11 - 8*r**3 in the form j + i*r**3 + l*r**2 + q*r and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a - 132. Suppose 0 = -12*s + 15*s - 81. What is the remainder when r(s) is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 8*p**2 - 7*p + 18. Let z = 28 - 26. Suppose 3*t = 4*d + d + 39, 0 = z*d + 5*t + 28. Let r be b(d). Solve -2*q - 10 + 0 = r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.66 - -1013.\nAnswer: 1012.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7\/692 + 1481\/58820. Put 2\/3, -3, 2, q, 5 in increasing order.\nAnswer: -3, q, 2\/3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 39138766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -0.264\nAnswer: -1.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64\/7 + -235\/28. Let u(x) = 130*x - 3630. Let d be u(28). Put d, m, -4, -0.4 in decreasing order.\nAnswer: d, m, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + 1. Calculate the remainder when (1 - 2)*(0 - 25) is divided by 152\/o + (-4)\/(-22).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 776482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 11. Let c(v) = -v**3 - 3*v**2 - 16*v - 46. Let z be c(-3). What is the remainder when (-1950)\/(-468) + z\/(24\/10) is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4086401 at most as big as -4086402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + i + 29130 = 126896, -3*i = 6. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/((-30)\/(-18))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3581 is divided by 584?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/8 and 51\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 202 + 590. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 150591*b - 451746.\nAnswer: -3*(b - 50194)*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -61673.\nAnswer: 22\/61673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.25 + 0.25. Let q = -60\/7 + 9. Which is the nearest to 1? (a) q (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/((2112\/(-416))\/(-22) - (-300)\/52).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u. Let t(q) = -21*q - 216. Let x(h) = -h**2 + 35*h + 432. Let w(m) = -5*t(m) - 3*x(m). What is a(w(d))?\nAnswer: -3*d**2 + 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o*o*o**5*o*o))*o*o*o**(-1\/6)*o*o**5*(o*((o*o*o**(2\/7))\/o)\/o)\/o assuming o is positive.\nAnswer: o**(719\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 783, -1, -15, 1.\nAnswer: -15, -1, 1, 783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/37, 15, 0, 3, -0.07, 2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (46\/8)\/((-7)\/(-28)). Let o = p - 21. Solve 0 = -0*r + o*r + 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59613689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 6*c + 1. Let o be n(-6). Let t = o - 3. Calculate the common denominator of (t\/(-100))\/(12\/1290) and -99\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 18 = 7. Suppose -5*a - 4*t + 27 = 0, 5*a = -0*a - 5*t + w. Suppose 0 = -0*b + 4*b - 16. What is the remainder when a is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -762, -1754, -3158, -5178, -8018?\nAnswer: -11882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 8*q. Let x(n) be the first derivative of 4 + 0*n + q*n**2 + 2\/3*n**4 + 1\/27*n**6 + 16\/27*n**3 + 4\/15*n**5. Factor x(w).\nAnswer: 2*w**2*(w + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -170.1849 and 42797038?\nAnswer: 42797208.1849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfwixmxmcmx. What is prob of picking 1 x and 1 m?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 195\/(-6))\/(124\/(-248)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8063 + -8061. Solve 2*i - g*k + 4 = 0, 28*i + 3*k + 9 = 26*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1766531 and -0.24.\nAnswer: -1766531.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**5\/5 - 23457903*b**4\/5 - 93831642*b**3\/5 - 140747478*b**2\/5 - 93831657*b\/5 - 4691583 = 0.\nAnswer: -1, 7819305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32897.252 rounded to the nearest 100?\nAnswer: 32900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/45)\/(1\/(-12)). Suppose 4*h - 40 = -y, -i*y - 13 = -h - 3. Suppose -5*r**5 + 15*r**4 - 15*r**2 - 5*r**3 + h*r - 464 + 464 = 0. What is r?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 86?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.127501 rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -16834 - -16928 - (-52 - -1)\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, x: 2, o: 1, k: 5}. What is prob of sequence xog?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {v: 9, k: 5}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -103 at least -4\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128.4 - 123.4. Sort s, -2, -1\/2 in decreasing order.\nAnswer: s, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19\/4 + (-11)\/(-44). Let i(p) = 36*p**2 - p. Let l be i(1). Solve -2*f = -0*m - m + 1, -l = -5*m - x*f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 4966035.\nAnswer: 1\/4966035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 282*v**7\/35 - 2141*v**4\/24 - 779*v**2. Find the second derivative of z(p) wrt p.\nAnswer: 20304*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-1)\/(-7) + 1320\/35 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18*(-66)\/(-1728) - (-1)\/(-2)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 121*j + 753 - 410*j + j**2 + 115*j - 204 + 127*j. What is c(27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/5)\/((174\/(-203))\/((-33)\/(-385)))?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -247 + 364. Let j be 0 + -2 + n\/(-1). Round j to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (83*114\/47310)\/((-7)\/(-21)*18\/(-110)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 8*d**2 + 10*d + 8. Let r be j(-9). Let u be (-3)\/r - 5\/(-5). Solve f = 2*f - u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 + -251. Let k = q - -201. Let c(p) = -2*p. Calculate the lowest common multiple of c(-2) and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 9*d - 7*d + 0 - 2*d**2 + 1. Calculate y(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-333653325)\/(-345) + (-11 - 1757\/(-161)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*d - 5*d. Let i be (-6 - 6)\/(-6) - d\/(-2). Solve -12*v + 15*v - 15 = i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 1 - 2)*(3 + 1 - 3) - 1 + 2 + 1 + 0 + 5 - 2)*(2 - 2*o - 2)*(-2 - 2 + 3)*(-3*o + o + 0*o) to the form h*o + a*o**2 + t and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0479 + -11226705822.\nAnswer: -11226705822.0479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1100) - ((sqrt(11)*2 - sqrt(11))**2 + 1)) + 4 + 3.\nAnswer: -30*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 0*h**3 - 2*h + 205 + 1\/12*h**4 + 0*h**2. Let d(i) be the first derivative of 23*i**2\/2 + 2. What is d(v(r))?\nAnswer: 23*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*n, -5*p + 150 = 4*n - 112. Suppose p = -2*x - 3*x. What is the units digit of ((-6)\/x)\/(2\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16881 = -36*h - 15909 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3419\/2845 + -1\/569. Sort -0.17, b, -1\/4 in decreasing order.\nAnswer: b, -0.17, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4744 divided by 8\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzwy when four letters picked without replacement from ztqpzzzyyzwpp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 7*a**2 - 6*a - 6. Let m be l(-3). Suppose -m = -o - b, -10*b + 6 = -4*o - 5*b. Let q(c) = 4*c - 1. Let v be q(1). Solve u = v + o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11575, -23149, -34719, -46285?\nAnswer: -57847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3. Let t(q) = -q**3 + q**2 + q + 63. Let f be t(g). What is the common denominator of 143\/18 and (-8)\/20*f\/(-4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2600112 and 273696.\nAnswer: 5200224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q. Let u(y) = 12*y**2 - 15*y. What is u(k(b))?\nAnswer: 12*b**2 - 15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1203\/13 - -20549\/234. Let y be (-770)\/12*989\/(-10). Let i = y + -6350. Calculate the common denominator of i and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 4*t + 3. Let a be l(2). Let s(n) = n**3 - n**2 + 2*n + 1. What is the remainder when s(a) is divided by (-15)\/60*20 - -18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -5\/24 (c) -4 (d) 6\/11 (e) 1 (f) 3\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-3 - (-12)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 9.81.\nAnswer: 2.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599*c**2 + 690*c**2 + 66*c**3 + 0*c**3.\nAnswer: 66*c**3 + 91*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6746*h**2 - 6406*h - 340.\nAnswer: 2*(h - 1)*(3373*h + 170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17380*k*s**2 + 65*k*s - 285982*k with respect to s.\nAnswer: -34760*k*s + 65*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.444931 rounded to 2 dps?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 661185a (base 11) to base 7.\nAnswer: 200464126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m + 143 - 223 = 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y - 6*y + 11 - 2*y - 8 to the form w*y + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 7:52 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -28. Suppose -16*t - 27*t = -516. Calculate the smallest common multiple of t and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 3*d + 2. Let z be p(-1). Suppose z = 428*i - 431*i + 1173. Calculate the highest common divisor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1554.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 1 - (-4 + -24 - -26)) + -5 + -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -16. Suppose -d - 4 = -2*u. Suppose 4*p - 8 = u*h - 0, -4*p = -2*h - 14. Solve -2*x = -4*f, h*f - 5 = -2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h**2 - 2*h - 3. Let o = 14730 + -14734. Let m(u) = 3*u**2 + 3*u - 4*u - 2 + 0*u**2. Determine o*z(r) + 7*m(r).\nAnswer: -3*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/(-24)*2 - (-4)\/(-12) and 107\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11893116 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42.3 - 294.3. Let s = -249 - z. Which is the third biggest value? (a) s (b) 17 (c) -0.2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14426+-9440995333\nAnswer: -9441009759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-19) + 96\/(-190)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 232*m + 1206. Let y be c(-5). Sort -2, y, 13 in decreasing order.\nAnswer: y, 13, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 992 is divided by 405.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 + 24*w**3 - 2*w - 31*w**3 - 4*w**2 to j*w**3 + t*w + k + a*w**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/894 and -11\/894.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105 - 101. Suppose 3*s - 105 = -2*s. Suppose 0 = 3*f + 5*h - s, 3*h = f - 0 + 7. Put y, f, -4 in increasing order.\nAnswer: -4, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35037146 and -2.\nAnswer: -70074292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -156*q**3 - 22*q**2 - 75*q + 40. Is j(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 1. Let k be z(-2). Let h be k - -3*12\/9. Let p = h - -4. Solve 3*d - c = -3*c + 23, p*c + 5 = 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (12*-1)\/(4\/(-10)) is divided by 16\/1*-2*2\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + 1 - sqrt(5) - (3 + sqrt(125)).\nAnswer: -2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3)*(-9)\/39 + 865160\/13078. Solve -439 = 101*n + s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4504 + -4507. Which is the nearest to 0? (a) 0.04 (b) 0.1 (c) h (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25634, 60905, 96164, 131405, 166622, 201809?\nAnswer: 236960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -29 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1730145 is divided by 865066?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 50075.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 6. Let r be k(-9). Let d(n) be the third derivative of -1\/100*n**5 - 2*n**2 + 0 + 0*n - 1\/5*n**r + 3\/40*n**4. Factor d(y).\nAnswer: -3*(y - 2)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -15.1. Let z = v - 11.1. What is the closest to 0 in 1\/2, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -4 (b) 33\/31 (c) 3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*z**4 - 2*z**3 - 3 - z**2 - 13*z**4 - 15*z**4 + 0 to p*z + a*z**3 + h + t*z**4 + c*z**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l + 3*l + 4*l)*(1 + 2 - 1) + 70 - 70 - 2 - 55*l as m + i*l and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**5\/60 - w**2 + 34*w. Let v(z) be the first derivative of n(z). Let m(p) = -2*p - 4. Calculate v(m(f)).\nAnswer: -4*f**2 - 16*f - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3*w - 4*w = -92, 584*g + 2*w = 581*g - 95 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/4 and (2*(-67)\/(-44))\/4?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in four sevenths of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u + 6*u)*(6 - 4 + 8).\nAnswer: 80*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 4 - 14 + 249*h)*(3*h**3 - 3*h**3 + 2*h**3) as k*h**3 + l*h**2 + i*h**4 + u*h + x and give i.\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 - 2*h**3 - 2283 - 2306 + 5*h**3 + 4589.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**6\/v)\/v)\/(v\/v**2*v)*(v*v*v**(-1))\/v*v*v\/(v*v**(-4)) assuming v is positive.\nAnswer: v**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 348655 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18515, -74141, -166857, -296669, -463583, -667605?\nAnswer: -908741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -11*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 + 77 = 69*a - 203 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1065 = -0*p. Calculate the remainder when p is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61984252 a multiple of 319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016635203 to 7 decimal places.\nAnswer: 0.0000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*z + 4*z - 11*z.\nAnswer: 23*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 654430 (base 8) to base 2.\nAnswer: 110101100100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9347*p + 18268*p - 9571*p.\nAnswer: -650*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 250.93 - 252. What is f rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5160*m + 37*m**2 - 107*m**2 + 21335*m + 5620*m.\nAnswer: -70*m**2 + 21795*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735792?\nAnswer: 2, 157, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4\/9 + 4*g**3\/9 - 16*g\/9 - 16\/9 = 0. What is g?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 2, -265 in descending order.\nAnswer: 2, -2, -3, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3055442994 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108 - -2. Let t = v - -140. Calculate the remainder when t is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296187349 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5033?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 12*k**2 + 31*k + 8. What is the hundreds digit of p(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 12*y - 9*y - 53249*y**2.\nAnswer: -53249*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*s + 4 = -7, -3*s = r - 2. Suppose -u - u - 4 = r*z, 16 = -u + z. Is 3 a factor of (33\/u)\/(1\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 - 216606*h\/7 - 30944.\nAnswer: 2*(h - 108304)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -290327 (base 15) in base 8?\nAnswer: -7421457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -363 + 2244706?\nAnswer: 2244333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -4*d + 2*q, 4*d + 0*q = -2*q + 146. Suppose 0*i - d = -i. Suppose -2*g + 136 = i. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73578 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 12, 2 in decreasing order.\nAnswer: 14, 12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-36)*(96\/(-60) + (8 - 0)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2\/43 (c) 2\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + q)*(-2 + 10843*q - 14093*q + 0).\nAnswer: -3250*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17729 is divided by 13880?\nAnswer: 3849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 322 + -307. Let k = -24 + 84. Calculate the greatest common factor of d and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212799 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -22*v**2 - 36*v - 7. Let y(p) = -4*p. What is j(y(i))?\nAnswer: -352*i**2 + 144*i - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 59, 204, 509, 1034, 1839, 2984, 4529?\nAnswer: 6534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-63)*-9*1. Let u = -1.3 + 9.3. Let l = 7.8 - u. Put l, 4, t, -5 in decreasing order.\nAnswer: 4, t, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a factor of 980679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 4:43 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 39 - 15 = 0. Let f = i + 31. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/1218 and -109\/696.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170964 and 864?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*b - 36 = 0, 0 = -4*u + 7*b - 5*b + 48. Solve 6*k = u - 25 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 832 + -2498\/3. Sort 0.5, f, 997 in descending order.\nAnswer: 997, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -378739436.85767 and -1.\nAnswer: -378739437.85767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 11*n**5\/20 - n**4\/6 + n**3\/6 + 2*n. Calculate the lowest common multiple of 20 and g(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1051\nAnswer: 3\/1051","meta":{"dup_signals":{},"source":"arithmetic__div_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 1787 divided by 41083?\nAnswer: 1787\/41083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 + -57. Suppose -3*l = 3*p + 2*p - q, -l + 2*p = 10. Suppose 0 = d - 5*g - 3 - 73, 4*g - 12 = l. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19518, -19526, -19534, -19542, -19550?\n\"Answer: -8*w - 19510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1010 * 36475\nAnswer: -36839750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-3))\/q**(-5))**(-1\/10)*(q**(-5)\/((q**(-2\/5)\/q)\/q))\/(q\/(q*q**(-2\/7)))**(12\/5) assuming q is positive.\nAnswer: q**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16461327 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: Is 690441781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - n = -5, n = -4*l - 2*n + 9. Let x be l*((-2)\/7 + 265\/315). Let f = x - -215\/6. What is the common denominator of f and 127\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 4*q**2 - 6*q - 9. Let y(s) = -s**2 - s - 1. Calculate -b(t) + 4*y(t).\nAnswer: t**3 + 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 8075\nAnswer: 6\/8075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 5:04 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 16) to base 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2538 and 658?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 11:18 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 144, 215, 286, 357, 428?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-126)*(-3)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(-82 + 48 + 45)*(-1 + 0 + 6)*(-2*y + 5*y + 0*y).\nAnswer: -495*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -5*u**3\/2 - 8*u**2 + 4*u + 16. Let w(g) be the first derivative of k(g). Find the first derivative of w(p) wrt p.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 + 11391*r\/5 + 1917108.\nAnswer: (r + 915)*(r + 10476)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - f + 1. Let r(d) = -3*d**2 - d + 2. Let q(c) = 5*r(c) - 7*x(c). Factor q(i).\nAnswer: -(i - 3)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 5456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**7\/840 - v**6\/120 + v**5\/40 + 5*v**4\/12 - 6*v. Let r(u) be the third derivative of j(u). Solve r(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - 49. Suppose -3*p + 34 = 5*i, -5*p - 5*i = o - 49. Let k be 3*p\/(-9) + -2 + 3. Solve k = -0*u - 5*u + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*q - 386 + 114. Which is the nearest to 0.1? (a) -5\/3 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16497 and 7332?\nAnswer: 65988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -172*v**4 - 4370*v**2 + 218*v**5 - 107*v**5 - 1352 + 4160*v - 109*v**5 + 1670*v**3 + 62*v**4.\nAnswer: 2*(v - 26)**2*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 17. Let i be f\/(-2 - 0)*2. Suppose i*q = 54 - 18. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 85282*p = 85285*p - 3, 3*p - 3 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-450)\/(-180)*6\/185)\/(9\/(-9)).\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 642841296 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 276, 948, 2016, 3480?\nAnswer: 5340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -420 - -828. Calculate the greatest common factor of 48 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 8:44 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1890, -3811, -5714, -7593, -9442, -11255, -13026, -14749?\n\"Answer: r**3 + 3*r**2 - 1937*r + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 3*l**2 - 6*l + 11. Let f be q(6). Let m = f - 83. Suppose m*d + 55 = d - 3*o, -95 = -2*d + o. What are the prime factors of d?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -577 = -i - 482. Calculate the lowest common multiple of 8 and i.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**5\/60 + v**2. Let k(w) = -4*w + 3*w - w. Calculate k(n(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.3956534 to one dp.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 689, 1270, 2855, 5948, 11053, 18674, 29315, 43480?\nAnswer: 61673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (21 + 0 - (-13 - -25)) + 9 + 3\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 2, -2, -4 in descending order.\nAnswer: 2, -2, -4, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**3 - 138522*h**2 - 1598890176*h + 3198334464 = 0.\nAnswer: -23088, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 9*z + 7. Calculate y(4).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213221310113 (base 4) to base 10.\nAnswer: 10394903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 11*i**2 - 9*i + 6. Let o be t(-12). Is o bigger than -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**4 - 19*v + 0*v**2 + 0*v**2 - 2 + 24*v. Let y(o) = -3*o**4 - 6*o + 3. Let f(s) = 6*i(s) + 5*y(s). Differentiate f(k) with respect to k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8 + (-7)\/(-6))*468531\/148740\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*a**4 - 605*a**3 + a**2 - 82*a + 33 wrt a.\nAnswer: 960*a - 3630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times -168938.2?\nAnswer: -4223455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(224) - sqrt(224))\/sqrt(8))\/(-1*sqrt(324)).\nAnswer: -sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 224225734 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i + 3. Let q(b) = 4*b + 1. Let l(c) = -6*m(c) + 13*q(c). What is the first derivative of l(t) wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -3, 0.05, -3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (453 + 129 - 42)*(s - 2*s + 3*s) + (1 + 0 + 0)*(3*s + s - 3*s) - 2*s + s - s to the form y*s + q and give y.\nAnswer: 1079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 6*t - 12. Let g(h) = -h - 1. Let f(j) = 4*g(j) - v(j). Let z(m) = -m - 11. Let q be z(-15). List the prime factors of f(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b\/b**(-8\/3))\/b)\/b**4)\/(b\/(b*b\/b**0))**(-45))**43 assuming b is positive.\nAnswer: b**(-5848\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -235 - -215. Let a be 5\/(-140)*-4 - r\/(-28). What is the third biggest value in -4, a, -122?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 14. Let k be g(7). Suppose 0 = -2*a - a + 6. Let d be (a - -1)\/(3\/7). Calculate the highest common divisor of d and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2636?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*q - 3524 = 1531 - 870 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m*z**5 + 3*m*z**4 + 4*m*z**2 + 1507*z**3 + 5534*z**2 wrt z.\nAnswer: 240*m*z**2 + 72*m*z + 9042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 254656146 a multiple of 2861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 973.\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3134d89 - -3?\nAnswer: 3134d8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148468453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15, -29, -43, -57, -71, -85?\n\"Answer: -14*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1543 - -403?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 6*f**2 + 6*f - 1. Let k be i(5). What is the tens digit of ((-10)\/(-4))\/(1\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + q + 2*q - 1, -q + 11 = 4*p. Suppose p*a + 16 = -20. Let l(j) = -j**2 - 16*j + 9. Let g be l(a). Is g != -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b = -15*b + 2*t - 18, -3*b + 17 = -2*t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3753 - -266?\nAnswer: -3465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*o = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -21?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 4*a**2 - 6*a - 6. Let z be t(10). Is (z\/24)\/((-3)\/(-60)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4956, 10020, 15046, 20022, 24936, 29776, 34530?\nAnswer: 39186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 2\/15, 2, 16?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 2*g**2 + 8*g - 12. Calculate p(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - -31. Let j be 1 - o\/(-15) - 5. What is i in -3\/5*i**2 + 0 + j*i = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1266.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 - 0.1. Let y = 0 - 0. Let m = -0.8 + 0.8. Which is the nearest to m? (a) 1\/5 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 - 3*a + 3. Let o(y) = -10*y**2 - 14*y + 14. Let s(n) = 3*o(n) - 14*t(n). Let i(q) = 9*q. Determine s(i(x)).\nAnswer: -162*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*j + 63744 - 63936. Let u(k) be the first derivative of -j*k**2 + 8 - 37\/3*k**3 + 0*k. What is the second derivative of u(t) wrt t?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 6:52 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38276 is divided by 640.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-2)\/6 - -1)*36 and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 282 - 102 = 0. Which is smaller: y or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*h = -6025, -3*h - 8043 = 3*b + b. Suppose -5*j + 3371 = -6*j. Let m = b - j. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s + 37. Let h be t(7). Solve h*u + 8 = -0*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -1\/2, -166\/7, -7\/82?\nAnswer: -7\/82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + -79 + -28 + 51.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 12 - 28 = 0. Solve -2*c = -3*d + c, k*d + 5*c - 40 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 97\/7 - 8\/(-56). Let q = 11 + y. Let v = -7 - -56. What is the remainder when v is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**4\/12 + v**3 - v**2 - 4. Let o(z) be the second derivative of b(z). Let t = 1911 + -1916. Determine o(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-40) + (-627)\/24. Let l be o\/(-6) + 1\/(-3). Solve 5*i + l*f + 21 = 0, 5*f - 12 = 4*i + 13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 0*r**5 - 5\/2*r**4 - 32*r + 0*r**6 + 0*r**3 + 0 - 9\/14*r**7 + 0*r**2. Find the third derivative of x(c) wrt c.\nAnswer: -1620*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.7 - -5.7. Suppose -4*g = -0 - 4. Let f be (-20)\/(-50) + (g - 1). Which is the closest to j? (a) f (b) -5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**2\/2 + 13*w + 6. Let t be z(-10). Suppose t*f = -2*q + 24 + 57, q - 68 = 4*f. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(150) - (-1*sqrt(150) + sqrt(150)))\/sqrt(6))\/(sqrt(720) - -2*sqrt(720) - (sqrt(5) + (sqrt(55)*-2)\/sqrt(11))).\nAnswer: -5*sqrt(5)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k + 15494 = -35*k - 100*k - 140*k for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/11 (b) -0.06 (c) 2 (d) -0.4 (e) -93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 - -180. Suppose -z = p - 560. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -4, -14 in ascending order.\nAnswer: -14, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and 178050.\nAnswer: -106830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 462*b - 17787.\nAnswer: -3*(b - 77)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*p)*((5 - 2 - 4)*(-3*p + 2*p + 2*p) + 56 - 56 + 81*p) + (-1 + 1 + 2)*(5*p**2 + p**2 - 4*p**2) + 0*p**2 - p**2 - 2*p**2.\nAnswer: 241*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -59. Let g = 497 - r. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8059*n**3 + 284*n + 7175441.\nAnswer: -24177*n**2 + 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(1539))**2.\nAnswer: -18*sqrt(19) + 1535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*((0 - 3) + 2). What is the common denominator of 2 - -17*(p - (-212)\/(-72)) and 35\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -588 - -704. Is q less than or equal to 121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76941 times -0.019?\nAnswer: -1461.879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-132)\/(-1100))\/(33\/20))\/((-214)\/3745)?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 27. List the prime factors of 3*(33\/9 - q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from ofkooolft.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 828.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (38808\/(-13860))\/((-91)\/5)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + sqrt(45).\nAnswer: 6 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 31351590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88332\/11 - 1148294\/143. Let 16\/13*x + 0 + v*x**2 = 0. Calculate x.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236, 87, 1, -3.\nAnswer: -3, 1, 87, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 149*v - 14. Determine y(-1).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/11339? (a) -2\/7 (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -15. What is the second derivative of 4*q**4 + 3*q**4 - 4*q**4 + m*q**4 - 6*q wrt q?\nAnswer: 96*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 1. Let s be c(1). Suppose 4*v = -s*v + 12. Let z(y) = 4*y**2 + v*y**2 - 4*y**2. Let w(h) = -8*h. Calculate w(z(u)).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -228, -398, -568, -738, -908, -1078?\n\"Answer: -170*t - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, 17, 44, 83, 134, 197, 272?\n\"Answer: 6*i**2 - 3*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -38*g. Suppose 4*b - 2*l - 40 = 0, 0 = -0*l + 5*l + 10. Let y be -1 - (-29)\/b - 2\/9. Let v(t) = 153 - 153 - y*t. Give z(v(f)).\nAnswer: 76*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272, -2768, -9692, -23258, -45680, -79172?\nAnswer: -125948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4 = 5*n - 18, 2*s + 8 = 2*n. What is the smallest value in n, -7, -0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3901115274 to the power of 1\/2, to the nearest integer?\nAnswer: 62459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + w**4 + 4*w**2 - 2*w**2 - 15 - w**2 in the form g*w**4 + i*w**2 + j*w + y + t*w**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 5*t**2 - 3*t - 4. Let w be z(6). Suppose -v + w = -27. Suppose 0*m = m - v. Is m a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a factor of 253475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(1\/3)\/s)\/s)**(-2\/21))**(-43)*(s\/(s**(1\/5)*s*s))**(6\/7)\/(s\/(s*s*s**(-2)*s))**(-5\/6) assuming s is positive.\nAnswer: s**(-2474\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/(-3) + -146 + 140. Which is the third biggest value? (a) 1\/11 (b) 0.08 (c) -2\/5 (d) j (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*j = -104, -j + 5 = v - 13. Calculate the highest common divisor of 187 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 * -0.5\nAnswer: -19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**5\/30 + 11*x**2\/2 - x. Let j(y) be the first derivative of g(y). Let t(n) = 5*n. Determine t(j(v)).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.68, -1.\nAnswer: -1, -0.68, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzq when three letters picked without replacement from {z: 1, n: 2, l: 1, p: 3, f: 3, q: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23999 and 9786?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxmuuxuumxu. Give prob of picking 3 u.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5320 + 930998\/175. Which is smaller: m or 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33297 is divided by 370?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 124 and 93.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111101111111100110101 (base 2) to base 5.\nAnswer: -2024103230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 8*r + 7. Suppose 0*x - 2*x + 10 = 0. Let t be (2 - x) + (-2 - 2). Determine a(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/15 - 332\/(-6)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19429 by 3.\nAnswer: 19429\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -647f4 (base 16) to base 2\nAnswer: -1100100011111110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2))**(-24\/13)*i**16*i\/i**(-4) assuming i is positive.\nAnswer: i**(297\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-3 + (11 - 14). What is the tens digit of (-287)\/(-3) - -1*m\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4104 + 0.41065735. What is f rounded to five decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + -3 - (7 + -6 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 a factor of 2380576526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 - 10*y + 11. Give v(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(i**1*i*i))*i**(2\/17))\/(i*i\/(i\/(i*i**(1\/4)))*i\/i**(-3\/7)) assuming i is positive.\nAnswer: i**(209\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + (sqrt(180) + sqrt(180) + 2 + sqrt(180))*6 + 1 + -4*(-2 + -2*sqrt(180) + sqrt(180)))**2.\nAnswer: 6336*sqrt(5) + 87696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2001*b - 476053. Give x(238).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1599955 divided by -35\nAnswer: 45713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2088, -2167, -2294, -2469, -2692, -2963?\nAnswer: -3282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 414, 777, 1098, 1383, 1638, 1869, 2082?\n\"Answer: o**3 - 27*o**2 + 437*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.3, -4\/9, 12.\nAnswer: -0.5, -4\/9, -0.3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3198, -6398, -9598?\nAnswer: -12798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.192 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-3)**2.\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqmmaqfq. What is prob of sequence aqmm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(2 - (-45)\/(-25)). Suppose -25 = 5*x, -8 = 3*o - g*x - 60. Let u = 3 - -3. Calculate the remainder when o is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 245 - 249. Let q(z) = 19*z**2 + 10*z + 26. What is the tens digit of q(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - -41) + -1 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 + (-4 - -3) - -69.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131.39 + -0.8.\nAnswer: -132.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 8 = y, 2*o - 2005*y - 66 = -2009*y for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -78*m - 2. Let z(y) = -85189*y**2 + 7*y. Calculate t(z(f)).\nAnswer: 6644742*f**2 - 546*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5587381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -349.27 - -349.23. What is the third biggest value in -0.3, z, -79, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.88 - -0.12. Let l = 2 - 2.1. Which is the smallest value? (a) 3 (b) l (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 + 201. Let m = 2273556776 + -2273556683.9999889. Let b = m - u. Round b to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107506 is divided by 2033?\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4 = -12. Suppose -4*n + 6 = 2*w - 3*n, -m*n = -w + 21. Solve 4*p + w = 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -243, -241, -237, -231, -223?\n\"Answer: u**2 - u - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5004 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4652965, -4652959, -4652953, -4652947?\nAnswer: -4652941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24007 * 0.36\nAnswer: 8642.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*g**3 + 14932*g**2 - 31264*g + 1360 = 0. Calculate g.\nAnswer: -85, 2\/45, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 3*u + 20. Suppose -10 = u*h, 3*y + h - 14 = -y. Differentiate -21*o**y - 13 + 11 - 19 with respect to o.\nAnswer: -84*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilfp when four letters picked without replacement from ilhfphh?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -161 + 163. Suppose 5*l + h*l = -56. Let v(z) = z**3 + 7*z**2 - 7*z + 1. Give v(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93b1a (base 12) to base 9.\nAnswer: -324274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1 = -5*c + 26, 5*l - 5*c - 15 = 0. Suppose 0 = i + 4*k - 24, l*i - 2*k = -0*i + 6. Calculate the remainder when 37 is divided by 78\/i + (-1)\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**4\/4 + 3*y**3\/2 + 6*y**2 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6849, 6856, 6873, 6900, 6937, 6984?\n\"Answer: 5*y**2 - 8*y + 6852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*a*i**2*n*s**3 - 5*a*i**2*n*s**2 + a*i*s**2 - 13*a*n + 4*i**2*s**2 + 4*i*n*s**2 - 102*n*s**3 wrt s.\nAnswer: 42*a*i**2*n - 612*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3855\/(-1929) + (3 - 1). Let n = x + -61099\/9002. What is the common denominator of n and -53\/9?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 11:07 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53.1 - 83.9. Let c = h - -137.473. Round c to 2 dps.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33977.\nAnswer: 61, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 4*j**2 + 2*j - 8. Suppose -5*w = 2*z - 10, -6*z + z = -w + 29. Let n be k(w). Suppose n = 4*c - 0*c - 148. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 75?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*h - 2*h - 2914 = 0 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**4\/12 - r**3\/2 + r**2\/2 + 2*r. Suppose -2 + 4 = -m. Let p be 3\/((2\/(-1))\/m). Determine h(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26229.801s to minutes.\nAnswer: 437.16335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2105 = 4*x - 2048, 5 = -3*r - x - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -26*a**2. Let f(m) be the second derivative of -11*m**3\/6 + 62*m. Calculate f(r(p)).\nAnswer: 286*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 4, 2, 3, 5, -312 in ascending order.\nAnswer: -312, -2, -1, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.557 - -8.257. What is the nearest to -1 in 19, 12, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 15*m + 3. Let b(k) = -k**2 - 16*k + 4. Calculate -4*b(w) + 5*v(w).\nAnswer: -w**2 - 11*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**3 - 30. Let k(t) = 4*t**3 - 30. Calculate 4*k(x) - 5*s(x).\nAnswer: x**3 + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -1 + (-1 + 18 - 30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1544033687?\nAnswer: 7, 17, 12975073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 863*v - 2375*v + 864*v + 856*v - 202*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10540 and 125191485?\nAnswer: 2635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 21, -0.06262, 6\/5?\nAnswer: -0.06262","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 o when three letters picked without replacement from {p: 4, o: 1, j: 1, c: 5, r: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**3*((k\/(k\/(k*k\/((k\/(k*k*k*k**1*k*k)*k)\/k))))\/k)\/k)**(4\/13) assuming k is positive.\nAnswer: k**(36\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 17 = 2*m. Let r(v) = m*v - 11*v - v**2 + 8*v**2. Let t(x) = -3*x**2. Calculate t(r(y)).\nAnswer: -147*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -142.6266 and -0.4.\nAnswer: -143.0266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2546035663 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 4 - 4 - (-11 - (13 - 16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2512, 10118, 22794, 40540, 63356, 91242, 124198?\nAnswer: 162224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -99*s**2 + s. Let x be g(-5). Round x to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 4*h + 0*h + h - h + 3*h + (1 + 0 + 0)*(0 + h + 0))*(657 + 5 - 48).\nAnswer: 1228*h","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 2)*(-5 - 4 + 6)*(-1645 + 1645 + 263*d).\nAnswer: 4734*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585 = 3*i + 4*v + 421, -2*i + 4*v = -136. Suppose 9 = 2*m + 1. What is the least common multiple of i and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(294)\/sqrt(2) + (sqrt(3) + -4 - sqrt(3))*-4 - ((sqrt(3) - sqrt(3)*2) + -5 - sqrt(3) - (sqrt(3) + (sqrt(48) - (sqrt(48) + 5*sqrt(48))))).\nAnswer: -10*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1737, -1741, -1747, -1755?\n\"Answer: -a**2 - a - 1735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**5\/30 + 2*t**2. Let w(d) be the first derivative of -16*d**3\/3 + 29. Determine w(r(l)).\nAnswer: -64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*((-9)\/15)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -318 by 6.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y. Let t(k) = -13*k + 4*k + 10*k. Let d = 0 - -6. What is d*t(h) + 7*q(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 2*v**2 - 2*v. Let r(n) = -5*n**3 - 9*n**2 + 11*n + 1. Let w(k) = 11*b(k) + 2*r(k). Let x = 4023 - 4028. Determine w(x).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/3))\/q)**21\/(q**(-2\/7))**(-4\/23) assuming q is positive.\nAnswer: q**(-2262\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(4320) - sqrt(4320))\/sqrt(10))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 0*g - 7\/120*g**6 + 0*g**3 + 0*g**4 + 0 - 1\/60*g**5 - 6*g**2. Find the third derivative of u(z) wrt z.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 5*c**2 + 3*c + 7. Let k be q(4). Sort -2, -26, k, 2 in decreasing order.\nAnswer: k, 2, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -1\/378, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**3 - 1835*v**2 - 154800*v - 302220 = 0 for v.\nAnswer: -69, -2, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02070682 rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1587 + -1587.1. Is 374 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + b**2)*(563 - 19 - 135)*(b**2 - b + 2*b - 3*b**2).\nAnswer: -818*b**4 + 409*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1720735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -416 - -596?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -0.1, -243, 420, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51680 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**8*w**(-3\/4))\/(w\/(w\/w**(-3))*w**(-1)))**(-1\/22))**(-5\/4) assuming w is positive.\nAnswer: w**(225\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 2, i: 2}. Give prob of sequence if.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.621 - 1.196. Let q = -14 + o. Let f = 0.025 - q. Which is the third biggest value? (a) f (b) 0.05 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7191?\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 6*s - 1893 = -2*k, 5*s - 2*k = 9525. Is s*(0 + 2*4\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 9 - (-127 + -30 - -35).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -96?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-7 - (-5 + -8 - -12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -36\/7 + 3\/7*u**3 - 99\/7*u + 4*u**2 = 0. What is u?\nAnswer: -12, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103072?\nAnswer: 2, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16540.9 - 16541. Let s = -34 + -21. Put -3, s, t in increasing order.\nAnswer: s, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-7 + 0 + -1 + 17).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1845 + -1832. Which is the nearest to -0.07? (a) q (b) -0.3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/475 + 22171\/36575. What is the common denominator of 10\/7 and p?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -252241 (base 6) to base 8\nAnswer: -54041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhxhqxqqx. What is prob of sequence qxx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j + 33*j = 24. Let o(m) = 610*m**3 + m**2 - 1. Let k be o(-1). Find the common denominator of -31\/22 and 1\/j - k\/120.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-137 + 454 + 1)*(-2*r - 1 - 2*r + 2*r) as p + w*r and give w.\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*b**2 + 5 - 3 - 21*b**2 - 1)*(b - 3*b - 2*b + (-b - 2*b + 4*b)*(-1 + 3 + 1)) in the form x*b**3 + m + a*b**2 + h*b and give x.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 18 - 4) + -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -21. What is the tens digit of -5 - 7684\/(-14) - l\/28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1882468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -47196, -188323, -423536, -752835, -1176220, -1693691, -2305248?\n\"Answer: -47043*z**2 + 2*z - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988385379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*a**2 + 3 + 4*a - 317*a**2 - 3.\nAnswer: -11*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1435883 (base 14) to base 7\nAnswer: -146252623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14000 (base 10) to base 15.\nAnswer: -4235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 - 256 = -4*m, 0 = 5*t + 5*m - 15. Let c = 2 - 1. Solve c = l + t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + q**2 - 4*q**2 + (-3*q - q**2 + 3*q)*(2 + 0 - 3) + 107269 - 107269 - 6920*q**2 to s*q**2 + p + j*q and give s.\nAnswer: -6921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, a: 7}. What is prob of sequence asas?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = -1506*v + 1495*v for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5464, 10912, 16346, 21760, 27148, 32504?\nAnswer: 37822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -34, 2, 177982 in descending order.\nAnswer: 177982, 2, -34, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u - 381 = -3*l, -4*u = -l + 119. Suppose 4*n - l = -5*j, 6 = -5*n + 1. Suppose -v + 3*q + j = -23, -140 = -3*v - q. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221330 divided by -22206?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.65 - 0.72. Sort 3, -5, h in increasing order.\nAnswer: -5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 24 = q, 4*k - 5*q - 36 = -11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28652 and 5156866?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 192 - 71. Suppose -3*r + 12 = -0. Suppose -2*t = -f - 21, -3*t - r*f = 14 - 51. Calculate the highest common divisor of w and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 34 = 4*y. Find the common denominator of -7\/62 and 3\/(-264)*y*-2.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 28 = 4*w, -20 = -18*w + 14*w - 2*j. Let n = -18 - -31. Suppose 45 = 4*b + n. Calculate the remainder when b is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284384549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 510*g - 180*g + 16*g + (-1 - 2 + 1)*(6*g + 2*g - 4*g).\nAnswer: 338*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -348592*g*t*u**2 - 21090*g*t*u - 4*g*t wrt u.\nAnswer: -697184*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u + 2*u - 4*u - 6*u**2 + 42.\nAnswer: -6*u**2 + 4*u + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35879, -71758, -107635, -143510?\nAnswer: -179383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (3 - 2) + 0 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*a - 18, p = -2*a + 7*a - 18. Let x be (-102)\/((135\/10)\/9). Let l be 1*3 + (-17)\/x. Is p >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 255158 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x + 1 + 0*x - 4*x - 5. Let w = 3 + -9. Calculate n(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o + 3. Let n be z(-2). Let d = n - 12. Let t(x) = 3*x + 4. Determine t(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4296458415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 335 + 43. Suppose 5*z - n = 186. Let r = z + -65. What is the least common multiple of r and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319235 is divided by 6641?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.7 - 22.7. Which is the nearest to -0.1? (a) -5 (b) 10 (c) -2\/13 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -504 (b) -2\/9 (c) 0 (d) 2\/11 (e) 0.3 (f) 24.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19173 and 17240013.\nAnswer: 189640143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1752a (base 11) to base 6.\nAnswer: 305511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 2. Let g be s(-3). Let n(u) = 23*u**2 + u - 2. Suppose -2*x = 2*v - 22, x - 17 = 3*v - 2*v. What is the lowest common multiple of n(g) and x?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.3 - -3.33828. What is z rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -8. Let x = -4.5 - z. Let b = -0.1 - -0.1. Sort x, b, 1\/8.\nAnswer: x, b, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12139, 24299, 36459?\n\"Answer: 12160*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l - 19*l = 108 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/132 + ((-5)\/(-45))\/((-1)\/(-6)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 8*j - 100. Let y be 0 + 2 + (-20)\/j - 1. What is the third biggest value in -1\/3, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -190\/31 (b) -2759 (c) -1 (d) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 416461?\nAnswer: 416455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293433 = -16*a + 292681 for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*b + x, -b + 0*x = x - 7. Let t(n) = 5*n**3 - 2*n**2 + 2. Let s(k) = -11*k**3 + 4*k**2 - 5. What is b*t(y) + 2*s(y)?\nAnswer: 3*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u + 56*u + 3*u = 774. Solve -5*c + 4*j + 7 = 0, 5*c - j - u = 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 + 1 = 0. What is the units digit of 3\/(-6) - (-5)\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (1 + -11 - -6) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -35) + (7 - 24).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Let p be 3\/((-5)\/8 + i). Suppose -3*d - d = -p. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 42*y - 25*y - 31*y - 24*y - 34*y + 129*y.\nAnswer: -27*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 - 63*s + 17. Let l be u(30). Which is greater: l or -74?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*v**4 - 22*v**3 - 32*v**2 - 151523?\nAnswer: 76*v**3 - 66*v**2 - 64*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37960253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2*(sqrt(3) + 2)*-1)**2)*5.\nAnswer: 80*sqrt(3) + 145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(5) - (2*sqrt(60))\/sqrt(12))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/17, -5, -12, 68, -0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/8 and -103\/111190.\nAnswer: 444760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36.4 + 39. Round z to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6702 is divided by 78.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/24*-2 + (-14)\/12. Let j = -4.61 - -4.66. Which is the third smallest value? (a) j (b) g (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-30))\/(8\/(-5)). Let k = g - 5\/12. Let h = -265 + 269. Which is the closest to 2\/5? (a) k (b) h (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 9*q**2 + 13*q + 35. Let n be s(-10). Let c = -0.6 - 3.3. Let r = -4 - c. What is the nearest to 1 in 0.4, r, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 4:15 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 288610541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 8. Is -3 + (397 - s - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10*(10\/1 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3485659 and -4.\nAnswer: -13942636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86*r**6 + 7364*r**2 - 8827 + 204*r**3 + 74*r**6 + r + 8827 - 2*r**4 wrt r?\nAnswer: -1440*r**3 - 48*r + 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 13*c - 10. Let d be z(12). Suppose d*w - 7*w = 30. Which is smaller: -7 or w?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.4 (b) 1.8 (c) -0.1 (d) -1\/7 (e) 0.7 (f) 3\/50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 5*a**2 + 3. Let q be (-22)\/(-66) - 16\/3. Let y be c(q). Suppose 0 = -n + o + 4*o + 19, 0 = y*o + 6. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -13. Suppose 0 = -6*l + 2*l + 8, -3*s = 4*l - 20. Solve 0 = 3*j - m - s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 6. Let v = 1 + -5. Let f be ((-1)\/3)\/(v\/(-60)). Determine i(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*b - 490 = -22*b - 2170 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -2\/5 (b) 0.02 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003735 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-28)*3\/6*-2.\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*n + 29*n + 31*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/4 - 219*r\/4 - 6095\/2 = 0 for r.\nAnswer: -46, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 12) + 34 + -72 + 45?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 8:15 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36630511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32 + 443?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 9:59 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*a = 5*a + 132 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 12*s - 187 = 0 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 3*g + 4. Let j be m(4). Suppose j = 3*t + t. Suppose t = -6*y + 8*y + 18. Is -9 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1473 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - ((-1 - -7) + -6) - 18 - (0 + 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -33667246 (base 8) in base 9?\nAnswer: -14660526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3756714*a**2*i + 85695*a**2 + 2*a*i - 3 wrt i.\nAnswer: 3756714*a**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r**2 - 18*r - 7. Let h be j(-2). Solve -15*l + h = -25 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 30. Let a = -2489.5 - -2484.5. Sort y, a, -2 in ascending order.\nAnswer: y, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 11*y - 41. Let g = 1000 - 910. What is the remainder when g is divided by q(8)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10101010110010110100110?\nAnswer: 10101010110010110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20, 39, 80, 149, 252, 395?\n\"Answer: b**3 + 5*b**2 - 3*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 1 = -4*z. Let k be z\/(-10) + (-78)\/(-30). Suppose -7*n + 4*n + 5*t = 7790, k*t - 5196 = 2*n. Round n to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by -2281.\nAnswer: 36\/2281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -121, -171, -221, -271?\n\"Answer: -50*s - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 965*y + 964*y - 9 = 0, 0 = 10*o - 2*y + 6*y + 48 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 14 = 11. Suppose -4*c + h + 2539 = 0, d*h + 0*h - 3 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 12524*l**2 + 15*l - 1. Let r be a(2). Suppose 137080 = 5*u - b, -r = -5*u - 3*b + 86935. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46506832 rounded to the nearest 10000?\nAnswer: 46510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6 - 2*p**3 + 3*p + 0*p**3 - 4*p**2 + p**3. Let y be r(-5). Suppose 88 = 2*u + y. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4500)\/(-625)*5*(-14)\/7.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*x - 692. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hphh when four letters picked without replacement from hhhhphhhhhhphhp.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - 33) + -4 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/(-75))\/(2\/10). Let s be y + -4 - -3 - -4. Factor -s*b**2 - 608 + 27*b + 53*b + 208.\nAnswer: -4*(b - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104\/(-44) - -2 - (-40)\/(-11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2453 - -2411 - (0 + -12 + 1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i - 14. Let t(o) = 2*o + 10. Calculate -12*s(j) - t(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - 1)*48\/(-32). Let l be 88\/(-16) + p\/(-6). Let w(r) = r + 6. Let t be w(l). Solve -5*k - 2 + 22 = 5*h, 2*h = t*k + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 548, 476, 356, 188, -28, -292?\n\"Answer: -24*f**2 + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*b + 246 = 2*z, -5*z - 1172 = 4*b. Let n = -234 + z. What is n rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334033 (base 5) in base 6?\nAnswer: 330453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a = 17. Suppose -21 = 9*w - 111. Suppose -4*j + 5*j = w. Calculate the remainder when a is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3955 is divided by 60?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3110004*x**2 - 3*x + 1. Let q be 54\/72 - (11\/4 + -1). Let r be n(q). What is r rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 620108.93 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 617\/10 + -62. Which is smaller: 23 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0, 2\/25, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -161 + 143. Suppose -8*a = -f*a - 2716000. What is a rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*x - 27 - 47 = 0, 0 = -r - 5*x + 7. Let p be -2*(-34)\/4*1. What is the second derivative of 0*k + r + 2*k**3 - p + 5*k wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6552799*w**4 + 11863157 wrt w.\nAnswer: 26211196*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2*u = 5*c - 1801, 0 = 3*u + 3. Let n be (-2 - (-27)\/14)*25183. Let q = c - n. What is the common denominator of q and -9\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 591 + 129 = 4*t, 898 = 5*t - 4*g. Suppose 171*c + 497 = t*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 13. Let x = i + 3. Let b = x + 0. Solve 2*p = 3*u - 2*p - 8, -p - b = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 14*c**2 - 19*c - 7. Let h be n(12). Suppose 2550 = 58*k - h*k. List the prime factors of k.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + d + 9 = 0, 18*d - 17*d + 0 = -3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 15) in base 12?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a + 10. Let z be u(-5). Suppose z - 3 = -i. Solve -i*n = 2*n + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/9)*c**(-26)\/c*c\/c**(-4\/17)*c*c*c\/(c*(c\/(c\/c**(10\/7)))\/c))**(7\/8) assuming c is positive.\nAnswer: c**(-26387\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 17*p**2 - 18*p - 6. Suppose 39*d + d - 1720 = 0. Calculate the remainder when d is divided by q(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2513 - 2508. Which is the biggest value? (a) -3.7 (b) -8 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z - 3*z + 0*z)*(-2 - 4 + 4) - 5*z + 0*z + 6*z + 6*z + 2*z + 5*z to the form c*z + q and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from {x: 2, p: 2, o: 1, s: 2, u: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 47 - 51 + 21102*o.\nAnswer: 21102*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-3)*l*(((l**(1\/6)\/l)\/l)\/l)\/l*l)**(-4\/3))**(-23) assuming l is positive.\nAnswer: l**(-1058\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43 - 2ab?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a day in hours?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**5\/180 + 13*o**4\/18 - 2*o**2 + 67*o. Suppose a(y) = 0. What is y?\nAnswer: -52, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h - 2*g - 140 = 0, -7*h = -11*h - 2*g - 32 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a milligram in micrograms?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 2917051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -5*q - 9*g, 7*g - 1 = -2*q + 5*g - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 + 2*g**4 + g**4)*(27 - 53 - 35)*(5*g - g - g).\nAnswer: -366*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-6))\/(-7)*112\/(-616)*-869\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k - 3*k + 3*k)*(6724 - 409 + 6617)*(2 + 4 - 5) to the form y*k + u and give y.\nAnswer: -12932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112 (base 3) to base 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2*l = -8, 5 = -4*i + 3*l - 7 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, j: 3, k: 2, h: 10}. Give prob of picking 1 c, 2 j, and 1 h.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153534?\nAnswer: 2, 3, 25589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j - 16 - 64 = 4*n, 3*n + 7*j + 25 = 2*j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 35*h**2 + 173*h - 28. Give o(-7).\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*s**4 + 30*s**3 - 1905*s**2 - 3.\nAnswer: -384*s + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -126 + -4b45?\nAnswer: -4c6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 37366457971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 803 + 0.2?\nAnswer: 803.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 79318.1045 rounded to the nearest 10?\nAnswer: 79320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 4\/(-12))*0. Suppose 3*l + 1 = 2*a + 6, 5*a + l = 13. Let g(m) = 299*m + 3284. Let w be g(-11). Sort 3, k, w, a.\nAnswer: w, k, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4494 and 657622.\nAnswer: 1972866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x + 3*x + x + (4*x - 4*x - 2*x)*(-3 + 1 + 0) + x + 2*x - x)*(2 - 6 + 3) + (12 - x - 12)*(1 + 1 - 1).\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217406 a multiple of 354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (7 - 2 - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 9) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (55\/132)\/(50*(-3)\/(-48))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 560?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.25 in 0.1, -55, 2\/49, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/5080 and 63\/356?\nAnswer: 452120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -61*a**5\/4 - 8568*a**4 + 27208*a**3 - 60127*a**2\/2 + 51405*a\/4 - 2825\/2 = 0. What is a?\nAnswer: -565, 10\/61, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864)*1)\/((sqrt(8) + sqrt(72) - sqrt(8))*5).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 280200107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 29675 = -18741. Calculate the remainder when h is divided by 90.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*l + 11*l. List the prime factors of 2235\/24 + l\/(-16).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174 - 216 - 6*j**3 + 42.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l + 1. Suppose 0 = 5*n - n. Suppose n*f = -f - 4. Let i(s) = 5. Let g(k) = -k + 4. Let r(u) = f*g(u) + 3*i(u). Determine 7*q(p) + 5*r(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -509065*s**5 - 17189*s**2 + 13*s wrt s.\nAnswer: -30543900*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, -5, 66.3, 1, -2, 2\/5 in decreasing order.\nAnswer: 66.3, 1, 2\/5, -2\/21, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 64 + (-70 - -43 - -53)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.693740478 rounded to five decimal places?\nAnswer: -0.69374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/226596672 and 49\/2069376.\nAnswer: 453193344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -113.07977 to the nearest integer.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 11:23 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 times 0.46?\nAnswer: 0.0552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = 13 - 20 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**3 + 11*q**2 - 2*q - 9. Let o(l) = l**3 - 2*l**2 + l + 1. Determine -g(n) - 5*o(n).\nAnswer: -2*n**3 - n**2 - 3*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - ((-10678)\/16 - -2). Let o = h - 672. Find the common denominator of o and (-51)\/(-22) + -2 - 1.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 - 67715*r**3 + r**4 + 24*r + 135424*r**3 + 1 - 67714*r**3 to i*r + a*r**4 + n*r**3 + c*r**2 + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -6*w + 0*w**4 + 0*w**2 + 1\/150*w**6 + 0*w**3 - 1\/210*w**7 + 0*w**5 + 0. Factor a(y).\nAnswer: -y**4*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6*o - 4. Let q be g(-3). Suppose -t = 4 - q. What is the tens digit of (36\/t)\/((-1)\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 506, 999, 1492, 1985, 2478?\nAnswer: 2971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 4 = -4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 13*k - 7650. List the prime factors of k.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 91300 to the nearest 1000.\nAnswer: 91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a century in months?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 299*h**2 - 2*h. Let d(v) = v. Give d(m(p)).\nAnswer: 299*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h + 2 - 2. Let p(y) = 13*y**2 + 6*y + 6. Let g(f) = -f**2 - f - 1. Let a(d) = -6*g(d) - p(d). Give o(a(t)).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 54.64418 centimeters?\nAnswer: 546441800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -1 + ((8 - 6) + -10 - -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14528919833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 241998 to the power of 1\/2, to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = c + 4, 2*c + 0*c - 2*z - 4 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6797772 or 6797774?\nAnswer: 6797774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7 - -3555)*225\/(-60)*(-1)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/86?\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-10)*-5*-5*10\/50.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 5*j**2 + 4*j + 5. Let i be m(4). Solve i*k + 5 + 10 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-9)*48\/(-56). Which is the fourth smallest value? (a) 1 (b) t (c) -60 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*b = 145*b + 72. Solve 12 = 2*l - 0*h + h, -h - b = -4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*z - 38 = -581 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 - 3*v**2 - 3*v - 1. Let r be a(-1). Let x(q) = q**2 + 0*q**2 + 128*q**3 + 0*q**2 - 126*q**3 - 2 + 2*q. Determine x(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 176*d - 7260.\nAnswer: -(d + 66)*(d + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -95*w**4 + 5*w**3\/3 + 47*w**2 + 200. Find the third derivative of y(u) wrt u.\nAnswer: -2280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.6723 decades in millennia?\nAnswer: 1.596723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2912?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 23) + 35 + (-41 - -20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (4\/(-1) - 36). Is -41 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 1. Let b(p) = 9*p + 8. Give 4*a(y) + b(y).\nAnswer: 5*y + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 87, 80, 75, 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x + 9. Let o(k) = 82*k + 173. Let r(m) = -14*m - 29. Let u(g) = 3*o(g) + 17*r(g). What is -17*f(p) + 6*u(p)?\nAnswer: -3*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(242) + 1) + (2 + sqrt(242) + sqrt(242))*-1)**2 - (-4*(sqrt(242)*-1)**2 - ((1 + sqrt(242))**2 + -3 - sqrt(242))).\nAnswer: 363*sqrt(2) + 5096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -93, -17, 4, 9, 5 in descending order.\nAnswer: 9, 5, 4, 0, -4, -17, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 9 = 4*k. Let q be 6\/1 + -1 + 4. Solve -4*y - q = -w, 0 = y + 2*w - 0*w - k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(2*sqrt(1452)) + (sqrt(133) + -3*(1*sqrt(133) + sqrt(133)))\/sqrt(7).\nAnswer: -109*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 2:47 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 1 + 3*k + 4 + 2 + 0*k**2. Is h(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 2:11 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 2\/11 (b) 0 (c) -299\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1165829880 to the power of 1\/2, to the nearest integer?\nAnswer: 34144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -45707671?\nAnswer: -45707673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q. Let g(o) = -4*o + 5*o + 2*o - 5*o. Let n(l) = 4*g(l) - 4*y(l). Let m(d) = 8*d - 2131 + 2131. Give n(m(z)).\nAnswer: -32*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2*o + 4)*(24 + 12 + 4) as t + u*o and give u.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 108*f**2 - f + 2. Is g(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*f + 630. List the prime factors of f.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12613266*b**3 - 8*b**2 + 3*b - 31922?\nAnswer: 75679596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007113 to four decimal places.\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6911407712?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -373131 + 663?\nAnswer: -372246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 477, -2, 79, 0 in descending order.\nAnswer: 477, 79, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j - 926 = w + 8*j, 2*j - 580 = -2*w + 20*j + 172 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 2202. Let a(m) = -m**2 + 104. Let l(x) = 7*x**2 - 624. Let j(u) = -6*a(u) - l(u). Determine j(k(q)).\nAnswer: -4*q**2 - 8808*q - 4848804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, -3, 6, 4 in descending order.\nAnswer: 64, 6, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 291 (b) 0.3 (c) -1 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 2 - 1) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.7, 361 in decreasing order.\nAnswer: 361, 0.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 0\/1 + (-127)\/(-127). Calculate the highest common divisor of 1959 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 442822?\nAnswer: 442820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 9:19 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75120168.\nAnswer: 2, 3, 3130007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16*(-5)\/(-50))\/(25\/(-1000)*22\/11).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/2*((-1)\/14)\/((-12245)\/(-1240))?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*p + 180995 = 43*p - 29*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-8)\/12 + (2 + -198)\/(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108952020 and 5649364?\nAnswer: 762664140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - (-36)\/(-4)) + 34\/6. Factor 2\/3*d**4 - 2\/3*d**2 + 0 + z*d - 2\/3*d**3.\nAnswer: 2*d*(d - 1)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 - 3*k + 5. Let y be t(5). Let u(c) = 6*c - 57. Let v be u(10). Let i be 8\/y*v*-220. What is the highest common divisor of 22 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-35)\/(-15))\/(((-36)\/(-6))\/(-36)) + 27\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1255\/1004)\/((-1)\/4). Let k(s) = 2*s + 9. Calculate k(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**3 + 2*i - 2*i + i + 4 - 3*i**3 to z + o*i + f*i**2 + a*i**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241370560 >= 1241370560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 15. Let u = 9 + y. Is 7 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4144 and 35814464?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*p = -53, -12*h + 7*h + 3*p = -47. Let q be h\/5 - (-1)\/(2\/296). What is the highest common factor of q and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.04 times -15522\nAnswer: 62708.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9266022?\nAnswer: 2, 3, 29, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(2*sqrt(17) + 4)**2 + ((sqrt(102) - (sqrt(102) + sqrt(102)*1)*3)\/(-2*sqrt(600) - sqrt(600)))**2.\nAnswer: 48*sqrt(17) + 9233\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 7417 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405) + -1 + sqrt(405))*2*1 - (sqrt(405)*-1 + -2)*-6) + -2)**2.\nAnswer: 576*sqrt(5) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 917822371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5205 + 4595 = 715*r - 225*r for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 + -279\/5. Sort -1\/2, -8, z in descending order.\nAnswer: z, -1\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - -37) + 129 - 71\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 9:32 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -5*m**4\/12 - 5*m**3\/6 + 2*m**2 - 1178. Let k(t) = 2*t**2. Calculate l(k(z)).\nAnswer: -20*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -7 - 3. Let h = -3 + y. Suppose 7*f = h*f. Solve -6 = -2*q - f*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 k, and 1 c when four letters picked without replacement from {z: 4, g: 6, x: 3, c: 3, a: 1, k: 2}?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*-1*(sqrt(78) + (sqrt(78) + sqrt(78)*2 + sqrt(78) + sqrt(78) + sqrt(78) - sqrt(78))))\/(sqrt(96)\/(1*sqrt(4)*-5)) + 3.\nAnswer: 3 + 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.351*-130240.9.\nAnswer: -45714.5559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 11:34 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a + 9*a + 2 - 4 + 3 wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(180) + sqrt(180)*-1*-2)*2)**2 - (-4 + (sqrt(180)*1 - sqrt(180)))*2*-5.\nAnswer: 216*sqrt(5) + 6449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 18 - (0 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134*k*q**2 - 42*k*q - 52*k + 61*q**2 + 19*q wrt q.\nAnswer: -268*k + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 165737502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 96*m - 279.\nAnswer: -(m + 3)*(m + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 = -j, -3 = j + 5*i + 5. Suppose -5*m - 3*a = -2300, 2*m = 3*m - j*a - 460. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.36 (b) 1\/4 (c) -4 (d) 1 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 27*p**3 + p**2. Let d be 6\/9*((-21)\/2)\/(-7). What is the smallest common multiple of 28 and y(d)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 354.2845 days?\nAnswer: 30610180800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 664623 - 412090. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8025, -7307, -6589, -5871, -5153, -4435?\n\"Answer: 718*s - 8743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -479*f**4\/24 + 1175*f**3\/3 - 4*f**2 + 788*f. What is the derivative of w(c) wrt c?\nAnswer: -479","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 41 - 7*y**4)*(30 + 12 - 59).\nAnswer: 119*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/5*660\/1144*(-5)\/(-15)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.341838 to 2 decimal places.\nAnswer: 20.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3001818 is divided by 1500763.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 14*f + 4. Let w be j(14). Suppose w*n + 112 = -232. Round n to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 748 = 1105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*a - 22. Suppose a*c = -2*r + 3*c + 6, 4*c = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -31.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/7, 0.1687235, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0. Let u = -0.3 - v. Let l = 0.02 + -0.12. What is the biggest value in -5, u, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -5 (b) -1\/2 (c) 4.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7968 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1737 - -2587. Calculate the least common multiple of t and 10.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-273)\/(-52))\/(((-9)\/16)\/(33\/22)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**5\/20 - j**4\/2 + 7*j**3\/6 - 5*j**2\/2 + 2*j. Give h(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -397\/7 - -57. Which is bigger: d or -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -992735*l - 992712. Calculate s(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 20500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2 - 2)*(0*u**3 - u**3 + 2*u**3) + 311*u**4 + 555*u**4 + 460*u**4.\nAnswer: 1327*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-2 + 2 - (-24 - -27))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6910, -6824, -6690, -6502, -6254, -5940, -5554, -5090?\n\"Answer: w**3 + 18*w**2 + 25*w - 6954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.058131765 to 4 decimal places.\nAnswer: 0.0581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 12:11 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 4*b - 4*b)*(11 - 5 - 3) - 4*b + 3*b + 7*b - b - b + 3*b + (-b - 2*b + 4*b)*(-4 - 1 + 3) - 4*b + 5*b - 2*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.3 + -4.5. Let d = 0.34 + -0.04. What is the closest to 1\/3 in w, -1\/2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -23, -0.4, 0, 1955, 2, 7\/4 in ascending order.\nAnswer: -23, -0.4, 0, 7\/4, 2, 4, 1955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**10)**(-37)\/(x**(-1\/33))**(-12) assuming x is positive.\nAnswer: x**(-4074\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25630 is divided by 8510.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 33, 109, 257, 501, 865, 1373?\nAnswer: 2049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/29)*v)**42 assuming v is positive.\nAnswer: v**(1134\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c - 1674 = -1754 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -254 + 370. Let y = -115.9 + b. Are y and 36 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511a (base 12) in base 11?\nAnswer: 6686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 9 = -5. Let j(d) = -d - 6. Let p be j(q). Let w be 2 + (-2)\/(p - 0). Solve 0 = 2*s + w*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 9*y - 36. Let d be c(-12). Let x(j) be the third derivative of d*j - 5*j**2 + 0*j**5 + 1\/24*j**4 + 0 - 1\/120*j**6 + 0*j**3. Determine x(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 0*u - 5*u**2 + 10*u - 2*u - 4*u**3 - 3*u. Let x(a) = 3*a**3 + 4*a**2 - 4*a. What is -4*b(k) - 5*x(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/9 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**2 + 2*v**4 - 2*v + 4*v + 11*v**3 - v**2 - 2*v**2 + 1 to b + j*v**2 + g*v**4 + o*v**3 + x*v and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 3*s**2 - 4*s + 8. Let l(p) = p**3 - 3*p**2 - 5*p + 7. Let f(k) = -4*l(k) + 3*m(k). Let d = 341 + -70. Let u = 276 - d. Give f(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 + 9*b + 42)*(0 + 2 + 0).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 15. Suppose 0 = 2*h - 4 + c. Solve h = -0*t - t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 113432690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799040 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.19 + 0.21. Which is the second smallest value? (a) -5 (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 26 = -0*m + 3*m, -i = -4*m + 3. Let l = m + 1. Calculate the common denominator of -45\/4 and 1\/l*708\/16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34056443 to the nearest integer?\nAnswer: 5836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c + 6. Let q be u(6). Let l = 11 + q. Suppose 0 = -l*b - 20 + 90. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -5 - (-4 + (0 - 1)) - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/9*9\/6*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a year?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -997*s + 979*s - 132, -2*b = 4*s + 46 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -27 - -13204902\nAnswer: 13204875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -824665 less than -1?\nAnswer: 824664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 0*t - 2*t + (-2*t + 2*t + t)*(-76 + 74 + 156).\nAnswer: 151*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p - 21*p - 2 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -6. Let y = 24 + r. Suppose 2*p - b = 507 - 180, y*p + 5*b = 321. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -7 + 1 + 6. Suppose 0 = 2*s - 3*s + 4. Suppose s*u = u. Solve -4*i - o = -17, -y*i - 3*o = -u*i - 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -160*q. Let a(l) = 2*l**2. Calculate a(k(z)).\nAnswer: 51200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.68 + 2.68. Which is the closest to 0.2? (a) j (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -6*f + 0 + 0*f**3 - 3\/2*f**2 + 3\/4*f**4. What is the tens digit of s(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91208510?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14.53787 and 0.06?\nAnswer: 14.47787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 165315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -33. Let j = 4 + 4. Suppose h - j - 1 = 0. Solve w = -3*n - 3 - h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**4\/3 + 124*f**3 + 1440*f**2 + 12944*f\/3 + 3840 = 0.\nAnswer: -80, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*p = -3. Let x = 4.61 - 4.5. Let g = -0.41 + x. Which is the second smallest value? (a) 5 (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 22, 13, -12, -59, -134, -243?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000554 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (5 - 9) + 7 - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(1260\/(-6))*-8*3\/4\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56314452 is divided by 18734.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 45 - 1 + 91.\nAnswer: -s + 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - (3*sqrt(12)*2 + sqrt(12)))*5)\/((sqrt(1944) - 2*sqrt(1944))\/sqrt(4)).\nAnswer: 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 - -55. Which is the nearest to 0.1? (a) d (b) 0 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpzjzpzzzpzzppzzz. What is prob of picking 1 z and 1 p?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 + 48*w**2 - 22*w + 55. List the prime factors of c(-24).\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55487?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 83*w - 147. Let r be d(8). Let s = -3 + 2. Put 0, r, 4, s in decreasing order.\nAnswer: r, 4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -6. Let w(f) = -f**2 - 3*f - 1. Let c be w(d). Let q = 3 + c. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**5 + 11*q**4*y**2 - 2*q**2 + q*y + 240*y**2 wrt q.\nAnswer: 40*q**3 + 132*q**2*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487104 = 9922*o + 226*o for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -64*q**4 + 1787*q**3 + q - 1028793?\nAnswer: -256*q**3 + 5361*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, x: 1, q: 1, o: 5}. Give prob of picking 2 m.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.2. Let p = 0.471 - 0.571. Suppose -3 = -5*n + 7. Put p, n, d in decreasing order.\nAnswer: n, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 580 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-3*k**3 + 4*k**3 - 3*k**3) + k + 2*k**3 - k + 2*k**3 + k**3 - 13*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36584 is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4746049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 283994201 to the power of 1\/2, to the nearest integer?\nAnswer: 16852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*x + 1\/4*x**2 + 0.\nAnswer: x*(x - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-1497*g**2 + 1497*g**2 + 681*g**5).\nAnswer: -681*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 0.0254509?\nAnswer: 0.00763527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**5\/60 - 7*v**4\/12 - 11*v**3\/6 + 6*v**2 + 2. Let t be n(-13). Solve -r = t*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*q - 459 = -0*q, -4*s + 5*q + 612 = 0. Suppose -11*i = -8*i - s. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**4 - 352*g**3 + 8712*g**2 - 41984*g + 33620 = 0. What is g?\nAnswer: 1, 5, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000022482 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -210439.9 to the nearest 1000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2139\/(-437) + -1*(4 + -9)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 138 and 58.\nAnswer: 8004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 1 = 17. Suppose 5*v + 23 = n*x, -5*v = x - 4 + 15. Solve -p + 15 = -2*y + x*y, -4*y + 45 = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 12, -2, 1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596942 is divided by 596334.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**3 - 2. Let g be p(-1). Let u be 1\/(28\/72*-1) + g. Which is the nearest to 3\/4? (a) 2\/3 (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 784717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 207359938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -37248 divided by 384?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2804*a + 3 = 2803*a + r, 0 = -5*a - r - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from mvxkxv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 14, -1, -6\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*v - 390*v - 14*v + 159*v.\nAnswer: -577*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i = -54*i - 8*i + 1123719. Is 23 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.088 + -0.088. Let r = 74.4 + -81. Let l = 7 + r. Which is the second smallest value? (a) -1 (b) t (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 7. Let h(y) = 3*y**2 + 3*y - 3. Let g be h(p). Solve -5*f - 2*w = g, 4*w - 15 = -2*f - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - 7847?\nAnswer: -783c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577 - 33 = -28*i - 6*i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25635827?\nAnswer: 7, 89, 41149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - 1)*2\/(-4). Let g = b + -6. List the prime factors of g\/3 + (1 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661279845 at most as big as 661279846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 e, and 1 c when three letters picked without replacement from jjfec.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 10:40 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t, -1 - 4 = 5*i - 4*t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + ((1 + sqrt(468) + -4 - (-2 + sqrt(468))*-4)*-1)**2 + -5.\nAnswer: -660*sqrt(13) + 11806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - -2 - (0 + -5). Suppose u*x + 10 = -0*x. Is 8 a factor of x*16*1\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 787*y - 15215 + 39612 = 0 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 19624.\nAnswer: 19624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/49, -0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 911, 1056, 1197, 1328, 1443?\nAnswer: 1536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -47 * 102\nAnswer: -4794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5722, 22770, 51190, 90988, 142170?\nAnswer: 204742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**3\/3 + y. Let s(d) = -d**2 + 2*d - 1. Let o be s(1). Let g(v) = -v + o*v + 3*v. Determine w(g(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 99.8 not equal to -1031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 15*l**3 + l - 1. Let g be (-63)\/(-24) - 3 - (-66)\/48. What is c(g)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1\/6, 2, -8, 5, 10?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 2*y**2 + 2. Let g = -9 + 12. Suppose 3*h - g = -12. Calculate c(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -193 + 213. Suppose q + 15*u = 10*u + 22, 2*q + 4*u = g. Let t be (1 + 0)\/(4\/(-20)). Sort 0, t, -4, q.\nAnswer: t, -4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(((-2)\/6)\/(4\/(-12))). Let a(x) be the first derivative of -3 + k*x - 1\/6*x**6 + 0*x**3 + 2\/5*x**5 - 1\/4*x**4 + 0*x**2. Factor a(r).\nAnswer: -r**3*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 115\/(-45) + 4 + (-20)\/45. Solve 0 = 5*q - x + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x - 1 + 7 + 3*x. Let b be (-3 - -1) + 2 + 5. Suppose 16 = 4*y - 0. Let v(g) = -g - 5. Determine b*v(w) + y*l(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*-2*6\/(-20)*(-1065)\/(-1917).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1430277572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -2 + 5 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -10. Suppose -4*f = -l*q - 1, -3 = -q - 0. Suppose -y + 9 = p, f = -4*y - 0. What is the remainder when p is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 13*f**2 - 31*f + 29. Let u be v(15). Let m(k) = -k**3 + 13*k**2 + 13*k + 10. Give m(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 124, 359, 594?\n\"Answer: 235*t - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-45)\/30)\/(3\/(-248)). Calculate the greatest common factor of p and 3038.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23913*-141\nAnswer: -3371733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**5\/3 - 40*s**4 - 256*s**3 + 2048*s**2\/3 = 0. Calculate s.\nAnswer: -16, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80\/101 + -33953\/404. Let u = -72 - k. What is the common denominator of -27\/8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -8\/67879?\nAnswer: -8\/67879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(19) - (sqrt(684) - 2*sqrt(684))) + sqrt(19) + -6*sqrt(38)\/sqrt(2))**2 + 5)*1.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -434, -861, -1284, -1703, -2118?\nAnswer: -2529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 3. Let b = 9 - g. Let q(h) = -9*h**3 - 5*h**2 + 5. Let x(w) = 14*w**3 + 8*w**2 - 8. Calculate b*x(l) + 8*q(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1131 divide 144846138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/52, 0.4, 9?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 5:13 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10043*l + 10053*l + 10045*l - 30134*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -26 (b) 3 (c) 1\/62 (d) -1 (e) 1 (f) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 516259 take away -76.60744?\nAnswer: 516335.60744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -40, -0.3, -50, 6672?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (148*j - 186*j + 265*j + 218*j)*(69*j**2 - 140*j**2 + 69*j**2 + 2*j).\nAnswer: -890*j**3 + 890*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 70014 = z, 5*z - 95*x + 93*x = 350058. What is the ten thousands digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqqsmqssssq. What is prob of sequence qm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 2)*(6*j - 4*j - 3*j)*(242 + 5*j - 241 - j**2 + 2*j**2).\nAnswer: -7*j**3 - 35*j**2 - 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 244 - 231. Is a 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 11151714?\nAnswer: 2, 3, 7, 83, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-4)\/(-3))*-24. Suppose -p*z + 3*z - 20 = 0. Is (28 - (z + 4)) + -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20180877?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*((-138)\/60 + 2).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.1 + -21.9. Let f = 26.84 + t. Round f to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -249470?\nAnswer: 12473.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 + 2*x + 9. Suppose -6*y + 3*d = -7*y - 14, -4*y = -2*d. Determine r(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y. Let b(v) = -7*v**2. Give c(b(n)).\nAnswer: 49*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26772 by -138.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2. Let c = 9 - -47. Let h = -43 + c. Let g(n) = 66*n - 19*n + h*n. Calculate v(g(p)).\nAnswer: -7200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1216))**2*2.\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2725932 divided by 1158\nAnswer: 2354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1290, -5663, -12938, -23103, -36146?\nAnswer: -52055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -15, -469, 9.\nAnswer: -469, -15, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1613 is divided by 116.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfv when three letters picked without replacement from fwwwyywyfffwvyyyf.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 1, q: 2, l: 3, f: 3}. Give prob of picking 2 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 2*y + 2*y - 3*y + y + y + (3*y + y - 2*y)*(-1 + 0 + 2))*(-2*y**2 + y**2 - y**2)*(29 + 3*y**2 - 29).\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-8\/3)\/(z**(-8\/3)\/z)*(z*z**(-1\/22))\/(z\/(z*z**(-1\/6)*z*z)) assuming z is positive.\nAnswer: z**(125\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 x when three letters picked without replacement from ggcucxuxxguhggrrgucx?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -154.7, 7\/4, 1, -2, 4, 2\/23 in descending order.\nAnswer: 4, 7\/4, 1, 2\/23, -2, -154.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34873921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.9 - 48.9. Let h = 1046 - 1086.58. Let q = h - u. Round q to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 7*o = 34. Let b = o + 19. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/149, -5, -791, 20 in descending order.\nAnswer: 20, -4\/149, -5, -791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*l = 11 - 127, 3*x + 163 = -2*l. Let m = x - -49. Let o(a) = 2*a**2 + 7*a + 4. Determine o(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + p = 8, 33*n - p = 31*n - 1. Sort n, 18, 4, -2 in descending order.\nAnswer: 18, 4, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/(232576\/11776)\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 2*d + 2. Let u be k(0). Put -21, -1, 4, u in descending order.\nAnswer: 4, u, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -6*p - 129. List the prime factors of -4*(-1)\/p*-2571.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x + 370*x**2 - 3 - 308*x**2 + 6*x - 13*x + 492*x**2.\nAnswer: 554*x**2 - 19*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 3:44 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 - 1037*y + 1037*y.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.2, -26, 0.2 in descending order.\nAnswer: 0.2, -0.2, -0.3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7 (b) 3 (c) -0.5 (d) 4000637\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*i - 51 = 101*i + 5*h, -5*h = -7*i - 48 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -278 + 279. Calculate the highest common divisor of 27 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205348658 a multiple of 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 5*f + 0*f + 389 + 287 - 676.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.56 and -1861.\nAnswer: 23374.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 119689736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 24 = 36. Suppose 5 - 1 = -4*l. Let k be (28\/(-8))\/l*24. Calculate the highest common divisor of t and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4072 is divided by (-263396)\/(-1610) + 6\/(-10).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146974 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 0. Let n be (2\/r)\/((-4)\/(-120)). Let f = 20 - n. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**2\/2 - 305*l\/2 - 9282 = 0.\nAnswer: -52, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 90) + (2674 - 2696)\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + m**2 - 4*m - m**2)*(2 - 2 + 2 + (-3 + 1 + 0)*(10 - 22 + 20))*(-18 - 10 + 49).\nAnswer: 588*m**2 + 1176*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112200200 (base 3) in base 6?\nAnswer: -352413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 1, w: 2, g: 1, t: 1, i: 1}. Give prob of sequence ig.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 9*a**2 + 10*a + 3. Give t(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from bbebbbbzpebbbbbbb.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 + 4*n - 1. Let l(h) = 4*h**2 - 3*h. Determine 2*l(c) + 3*r(c).\nAnswer: -c**2 + 6*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4392)\/176 + 25)\/(2\/12). What is the second smallest value in 9.6, m, -1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2952172 nanometers to micrometers.\nAnswer: 0.0002952172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6656 (base 8) to base 9.\nAnswer: 4721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 133*s**2 - 485*s + 344. Calculate d(-70).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 13*a + 10 = 0. Factor 2\/7 - 2\/7*r**a + 2\/7*r - 2\/7*r**3.\nAnswer: -2*(r - 1)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctttthc. What is prob of sequence hctt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7261 is divided by 188.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398 = 6*y - 80. Let n = -50 - y. Find the third derivative of -5*f**2 + 2*f**n - 10*f**2 + 23*f**2 - 4*f**2 wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67469?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13799 is divided by 3030?\nAnswer: 1679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 7*x - 7. Let v be b(-6). Is (1594\/2)\/(2 + v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*a - 12*a - 7*a**3 + 24*a wrt a?\nAnswer: -42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 648\/7 + -92. Let j = -80\/11 + 1062\/143. Let r = 13.12 + -7.12. Which is the second smallest value? (a) r (b) j (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/3 - (1941\/(-2025) - 1). Let i = v + -27901\/5400. Calculate the common denominator of -115\/28 and i.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -5468.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2925 and 468.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2169858 and -0.2.\nAnswer: 0.04339716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 44, 8, 5, -3, 12 in descending order.\nAnswer: 44, 12, 8, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*d**3*h**2 + 25*c*d**3*h + c*h**2 + 4*d**3 - 1300*d**2*h**3 + 65*d**2*h wrt h.\nAnswer: -4*c*d**3 + 2*c - 7800*d**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 142200000 to the nearest one million.\nAnswer: 142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f + 1. Let c(x) = -x**3 - 2*x**2 + 1. Let l be c(-2). Let n be q(l). Let h = -32 - -28. Do n and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 30517775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-2 - -3)*-3. Suppose 2*p - 4*p - 3*v = 23, m = -p + 5*v. What is the tens digit of (-694)\/p + (-32)\/80?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -646?\nAnswer: 646.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -697*x**2 - 10*x + 1404*x**2 - 713*x**2 + 15 + x**3. Let i be (-2 - (-13)\/3)*3. Give k(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*j - 89*j**2 - 11*j - 34*j**2 to the form b*j**2 + o*j + t and give b.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438*t - 8*t**2 + 2*t**2 + 2*t**2 + 9*t**2 - t**2 + 438*t.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (9\/72)\/(6\/(-1488))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/((u\/((u*u**(-10\/11))\/u)*u)\/u)*u)\/u**(3\/4))\/((u**(-23)\/u*u*u)\/(u*u**(-33)\/u)))**(-9) assuming u is positive.\nAnswer: u**(4221\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 146 - -3?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 443*m**2. Let i(v) be the first derivative of 2*v**3\/3 - 137. Give f(i(h)).\nAnswer: 1772*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-50)\/(-15) + -3)*2\/2. Let t(r) be the first derivative of 1\/4*r**4 - p*r**3 - 3 + 0*r**2 + 0*r. Find the third derivative of t(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28, 71, 118, 169, 224, 283, 346?\n\"Answer: 2*q**2 + 37*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200 + 120122021?\nAnswer: 120200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r - 20. Let d = 709 + -704. Solve -d = -3*s - l, s - 1 - r = -l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/5 + 4*i**3 + 56*i**2\/5 + 48*i\/5.\nAnswer: 2*i*(i + 2)**2*(i + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y**3 - 6. Let z(v) = -24*v**3 - 32. What is -16*f(l) + 3*z(l)?\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 55231050 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74253 is divided by 14850.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.1 + 3. Let u(z) = 2*z**3 + 13*z**2 - 5*z + 6. Let j be u(-7). What is the closest to l in 3\/7, j, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1796640 - -1.\nAnswer: -1796639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*t + 74*t = 306*t - 15557 for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -530, -1191, -2126, -3341, -4842, -6635, -8726?\nAnswer: -11121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - 37a8?\nAnswer: -37b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - 2*p**2 + 2*p**2)*(1 - 3 + 4)*(-4 - 3*p + 4) + p**4 - 27*p**3 + 27*p**3.\nAnswer: 13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32894 - -98681\/3. Let w = 1.45 + -0.05. Which is the closest to i? (a) 1\/3 (b) 1\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81014, -81059, -81118, -81191?\nAnswer: -81278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -239.\nAnswer: -19\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/8 of a microgram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/2 + (-24)\/6 + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35538 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 341557 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/4, 4.5 in descending order.\nAnswer: 4.5, 0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -31*v - 125. Let x be g(-5). What is the least common multiple of 15 and 130\/12 - (-5)\/x?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10798 = 964*j + 15989 + 22765 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 203, 1, 3, 6 in ascending order.\nAnswer: 1, 3, 6, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2*-59\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(4\/9))\/(y**(-2\/17)\/y))**(-44)*((y**(1\/3)\/y)\/y)**(-30)\/(y**0*y*y)**(7\/2) assuming y is positive.\nAnswer: y**(-11417\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0.2. Let w = t - 1.4. Sort -4, -1, w in descending order.\nAnswer: w, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 + -121 - -591 - (-35 - (0 - -1 - 0))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, 45, 87, 145, 225, 333?\n\"Answer: l**3 - l**2 + 28*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.43 + 33.43. Let g = a + -55. Let n = -24 - g. What is the nearest to 1 in 3, n, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8016 and 1200.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 o when three letters picked without replacement from {o: 3, l: 4, c: 2, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29405 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 716 and 44.\nAnswer: 7876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16392 - 16397. Put -23, m, -67 in ascending order.\nAnswer: -67, -23, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.1 (b) 2\/7 (c) -3.8 (d) -35 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -77, -78, -77, -74?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 228379171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11401.4464 + 64073.\nAnswer: 75474.4464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1485.1944 hours to days.\nAnswer: 61.8831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 10370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 10)\/(-40) + 5\/120*9. Which is the smallest value? (a) -0.09 (b) 2 (c) -3\/2 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {j: 6, d: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15*10\/3300)\/((-6)\/(-33))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b**2 + 321*b - 350. Let a be s(-41). Is -97 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -80 greater than or equal to 2185201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12 + 211*j**3 + 57*j**2 - 19 + 7 + 96*j**2 wrt j?\nAnswer: 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59 and 314824?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.44333 - -0.05667. Which is the nearest to -1? (a) -32 (b) 0.1 (c) z (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 32*u**2 + u - 7. Let m be v(-7). Suppose -2*s + 2226 + m = 2*d, 5*d = -2*s + 9459. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.27 = 20\/25311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*(t\/(t\/t**(-2)))\/t)\/t))\/t)**47*(t**(-1))**12 assuming t is positive.\nAnswer: t**129","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + 1293*a - 4*a**3 + 1547*a.\nAnswer: -7*a**3 + 2840*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 6:03 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 + 23*v**2 - 5937*v**3 + 5937*v**3 - 113*v**5 - v**3 + v**3 - 2*v**5 + (v**4 - 2*v**4 + 3*v**4)*(-3*v + 4*v + v).\nAnswer: -111*v**5 + v**4 + 23*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -74 - (8 - 30 - 54)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4662)\/(-441) - (36\/14 + -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 22. Suppose m - q*m + 20 = 0. Calculate the remainder when 10 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (40\/(-1450))\/((-14)\/(-5)). Let c = d + 416\/1015. Let x be 2\/12 + (-2)\/3. What is the nearest to x in -4, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 262. Let t(o) be the second derivative of -o**4\/6 - 133*o. Give s(t(g)).\nAnswer: -2*g**2 - 262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 5*g**2 + 6*g - 8. Let s be x(4). Solve p - 5 + s = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*y**2*z**3 + 1143*y**2*z**2 + 2*y**2*z + 166*y**2 - 1182*y*z**3 - z**3 wrt z.\nAnswer: -42*y**2 - 7092*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(57)\/(-1*sqrt(3)))**2 - 5*sqrt(38)\/sqrt(2)).\nAnswer: -76 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*w + 4*b, b - 4 = 4*w - 7. Solve -5*f = 5*n - 0*f, -3 = n + w*f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4050251 - -323?\nAnswer: -4045524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 953561 and 0.5325?\nAnswer: 953560.4675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 8:18 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 94*g**2 + 429*g + 28069. Calculate i(101).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13369 divided by -2.\nAnswer: 13369\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**6\/120 - u**5\/20 + 3*u**4\/4 + 20*u**3\/3 - 1895*u**2. Factor q(f).\nAnswer: -(f - 4)*(f + 2)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -84 + 71 + -44?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 7:02 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -7. Let m(o) = -5. Let w(b) = -1. Let j(p) = -2*m(p) + 9*w(p). Let a(x) = 3 + 1424*x - 476*x - 473*x - 477*x. What is y*j(u) + a(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 78750 divided by 125\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 - 1639938*j**2 - 224252439840*j - 37180728604800.\nAnswer: -3*(j + 166)*(j + 273240)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9638945, -19277887, -28916831, -38555777, -48194725?\nAnswer: -57833675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*r = -61*r - 225*r - 948 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66333197 to the power of 1\/2, to the nearest integer?\nAnswer: 8145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 0 (b) 2\/3 (c) -79 (d) -2\/9 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12624 by -789.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvff when four letters picked without replacement from fkvfz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**3 - 8*r**2 - 2*r - 8. Let i(g) = -g**3 + g**2 + g. Let q(v) = -5*i(v) - s(v). Calculate the least common multiple of 28 and q(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 3*l - 6 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 848 - 393 - 185*b - 456.\nAnswer: -185*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -8, -2, -2982 in decreasing order.\nAnswer: 0.01, -2, -8, -2982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-1)*(2 + -4). Let f(q) = -q - 3. Let d be f(-6). Suppose -d*k - k + h = -89, 2*k - 4*h = 48. What is the highest common divisor of k and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15631 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3988769\/136 + -29329. What is the common denominator of p and 101\/142?\nAnswer: 9656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11058, 10522, 9986?\nAnswer: 9450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-170) - 88556\/(-40290). Let k = -33\/79 - j. Calculate the common denominator of k and ((-1744)\/(-96))\/((-2)\/2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q - w + 3, 3*w = -5*q + 7. Let b(s) = -23*s - 4. Let p(k) = -2*k - 1. Let y(a) = -2*b(a) + 6*p(a). List the prime factors of y(q).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1914 and 172?\nAnswer: 164604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*-4)\/(3\/16). Let t = x - -194\/3. Suppose -12 = -3*k - 3*b + 4*b, 5*b - 8 = -2*k. Put k, t, 0.1 in decreasing order.\nAnswer: k, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*q**5 + q**3 + 2633*q**2 - 2*q - 98106 wrt q.\nAnswer: 160*q**3 + 6*q + 5266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 1189*d - 25384. Determine g(-21).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(55)\/sqrt(5) - (sqrt(11) + (sqrt(176) - 2*sqrt(176)))) + (sqrt(1100) - (sqrt(1100) + 2)**2)*6.\nAnswer: -6629 - 176*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -43. What is the closest to m in -2\/9, 0, -0.3, 0.033?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 + -98. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r - 2*d - 18 = -9*r, 0 = 3*r - 2*d + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 35.2. Let w = 6 - l. Which is the second smallest value? (a) w (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, h: 3}. What is prob of sequence lhl?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 32, 30, 28, 26, 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 356 (b) 3\/5 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.8953m to centimeters.\nAnswer: 989.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*h, -4*h - 6 - 4 = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6695 + -4738. Suppose -m = -y + x, 5*y - 2*y - 5*m = 5865. What is y rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14043594 + 14043594 + 8*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/9 in -11, -2, 6, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -20*u**3 + 2*u**2 + 38*u - 10. Determine k(4).\nAnswer: -1106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 9370 (b) 0.2 (c) -4 (d) -3\/8 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3046 is divided by 60.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyyf when four letters picked without replacement from yqqllpfyfllqqyyyyy?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 10*l - 195. What is o(10)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 296388*v**4 - 24*v**2 - 156*v - 81.\nAnswer: 7113312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -101110?\nAnswer: -101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, o: 6}. Give prob of picking 2 o.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -4) + (-16 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*c**4 - 6*c**3 + 6*c**3 - 2*c**2 - 6*c**4 - 4*c**4 + 7*c**4 + (c**2 + c**2 + 0*c**2)*(4*c**2 - 3*c**2 - 2*c**2) + c**4 - c**4 - c**4.\nAnswer: -33*c**4 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 488671 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: Suppose -x + 2*w + 3 = -4, 3*x + 23 = -5*w. Is 0 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5077563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 853 + -193. Let r be -3 + 2\/((-16)\/h). Let a = -311\/3 - r. Find the common denominator of -59\/3 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30831601.\nAnswer: 281, 109721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 17*y - 13. Let s be l(-18). Suppose z + 1509 = s*n, 7*z - 2*z + 1203 = 4*n. What are the prime factors of n?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15108480.\nAnswer: 2, 3, 5, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 9*u**2 - 9*u - 5. Let p be q(8). Let a = -17 - p. Let d be 1 - (-4 - a) - -3. Solve 4*r - 6*w + d*w = 18, -5*r + 4*w + 21 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 6. Suppose 0*p - 4*p = -3*p. Let d be n(p). Solve -d*g + g - 6 = 2*o, -o = 5*g + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5882.\nAnswer: 2, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*y - 110*y**2 + 61*y - 32*y.\nAnswer: -110*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.4514543nm?\nAnswer: 0.0000000000004514543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 (base 9) in base 14?\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -47198, -47194, -47188, -47180, -47170?\n\"Answer: x**2 + x - 47200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 147 (b) -0.5 (c) -0.4 (d) 0.3 (e) 0 (f) -52\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c. Let g(l) = 128*l**2 + 2. Calculate b(g(i)).\nAnswer: 256*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 73 = -6228*t + 6223*t + 3*h, -3*t = 5*h + 98 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 1381260.\nAnswer: 15193860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 2*a**2 + 2*a + 2. What is the remainder when 41 is divided by s(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4 + 2 = 0. What is the units digit of (-4)\/(-6)*(-9)\/k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4526353 divided by 87.\nAnswer: -4526353\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9434 or 187?\nAnswer: -9434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -15 + (4 - 1) - -10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -16, -90, -1\/5, -0.5, 0, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 z when four letters picked without replacement from ztzzttzztttttztzzztt.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882031639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - -43) + (-10 - 14 - -4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77144?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99 + -96. Let z = 9 - p. Solve 2*v + z = -4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 42663*v - 42948*v + 85110*v.\nAnswer: -2*v**2 - 501*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + i**2 + i + 3. Let j be (-12)\/66 + (-48)\/(-22). Suppose -j*f = 2*f. Determine k(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - (sqrt(3) + -2 + -1*sqrt(3)) - (sqrt(363) + (sqrt(363) - (sqrt(363) + -3)))**2.\nAnswer: -370 - 65*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6386*q + 13286*q + 529 - 529)*(-2 + 2 + q**2).\nAnswer: 19672*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chjb when four letters picked without replacement from {q: 2, b: 1, h: 1, c: 2, y: 3, j: 3}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 727357 is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-6))\/((-3)\/2 + 2) - -8. Solve -a - 5 = -t*n + 4*a, 0 = 5*n - 3*a - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931150723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 13. Let r be t(10). Let j(y) = 11 + 2*y + 30 + 3 + r. Is j(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -309*v + 254*v + 269170. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 290861176 or 290861178?\nAnswer: 290861176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/4)*x*(x\/x**(-6))\/x)\/((x**(-9\/4)*x)\/x**(-6\/5)))**(-4\/13) assuming x is positive.\nAnswer: x**(-136\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -30, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -867224, -867207, -867190?\nAnswer: -867173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1036 (base 7) to base 13.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7771691 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: 1233332 (base 4) to base 2\nAnswer: 1101111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16309*m**5 - m**3 - 17838*m wrt m?\nAnswer: -326180*m**3 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(550))\/sqrt(11) + sqrt(50) + 1*(sqrt(50) - sqrt(800)))*4)\/(((sqrt(40) - sqrt(40)*2)*2)\/(-1*sqrt(36))).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5)*1*(-15)\/(-9)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a882 (base 11) to base 7.\nAnswer: -56614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**16\/p*p*p)\/p**(8\/5))\/(p**(-1)\/((p**(1\/16)*p)\/p)) assuming p is positive.\nAnswer: p**(1317\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2*11\/(-22). Let v = -7 - -73. Let m = v - 66. Which is the closest to n? (a) m (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -18. Suppose 2*h = 2*s + 3*s - 28, 20 = -m*h. What is the closest to -1 in -0.1, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**4\/12 - 2*n**3\/3 - n**2\/2 - 5*n - 3. What is the smallest common multiple of i(-3) and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 302*x**3\/3 + 2*x**2 + 5*x - 7. Calculate the remainder when i(-1) is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w + 4 + 2 - 6. Let k(p) = -7*p. What is v(k(r))?\nAnswer: -35*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 31311*0.9\nAnswer: 28179.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 7 - 44*d + 17 - 3 to the form a*d + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**3\/2 + 321435*i**2\/2 - 49412055*i\/2 + 1901222785\/2 = 0. What is i?\nAnswer: 77, 64133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 1 + 2 + 7*f - 5 to the form d + z*f and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -62\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -61\/2046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 77*u - 978. Calculate p(-60).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(700))**2 + (1 + sqrt(700))**2 + 0.\nAnswer: 20*sqrt(7) + 1401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.57, -7, -0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -0.1 (c) 5 (d) -232 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.36790453696 - 0.4022.\nAnswer: -0.77010453696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + 150\/(-90) + (-116)\/(-3). Solve 24 = h*v - 25*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -4 - (-7 + 15 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 - -95. Calculate the common denominator of 2\/(-4)*(-294)\/9 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 9. Let z be (-2)\/(-8) + 6\/8. Let x(m) = m**2 + 18*m - 7*m + m**2 - z. Let q be x(-5). Determine f(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -801*a*u**2 + 1473*a*u + 10*a + 216769853*u**2 wrt a.\nAnswer: -801*u**2 + 1473*u + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2 - (-8 + 18 + -1 + -14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49 (base 13) to base 12.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*6\/16*(-32)\/(-24) - 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**3 + 12*l - 5*l + 1 - 18*l**2 + 5 - 6*l + 9*l**3 to the form g*l + i*l**3 + y*l**2 + p and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 278965 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1477043 is divided by 163988?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 21*p**2 + 5*p - 1. Let t(q) = -22*q**2 - 6*q + 1. Let y(f) = 6*s(f) + 5*t(f). What is y(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + n = -7, -627*n + 623*n = 3*y - 2. Solve -y*t = 8, -3*i + 3*t = -6*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 7245 = 26*g. Let v = -313 + g. Solve -v*z = -11*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/103159 - 707354\/1134749. Let i = -10\/11 - s. Which is the nearest to i? (a) -3 (b) 2\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*v = -8 + 38, 4 = -2*y - 4*v. Let l = y + -6. Suppose -l*p - 2*p = 0. Which is bigger: p or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 111 + 188*x**2 + 8*x + 267*x**2 + 86 in the form p*x**2 + r*x + g and give p.\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214447925?\nAnswer: 5, 31, 276707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**4 + 14085*q**3*s + 10674*q**2*s + 4*q*s wrt q?\nAnswer: -24*q + 84510*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 49.40052km?\nAnswer: 49400520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22bd (base 14) to base 15.\nAnswer: 1bd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -48. Let h be 5\/(-4) - (-6)\/n*2. What is the closest to h in -6, -1\/3, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/2))**(4\/13))**(19\/4) assuming w is positive.\nAnswer: w**(19\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1365528 and 60.\nAnswer: 6827640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2539\/4 in -3, 5, -5, -30?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2861 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -13.3582.\nAnswer: -15.3582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 + -26.92. Let j = 22 + y. Suppose -3*o = 12, 6*s = 2*s - 3*o - 4. Which is the nearest to 2\/7? (a) 5 (b) s (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + z - 2*z - 16, 3*s = -2*z + 12. Let r be s\/6 - (-354)\/9. Solve 5*b + 4 = -3*j - 12, r = -5*b + 5*j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 343*y**2 - 10*y - 539. Let x(o) = -2*o + 11. Let m(t) = a(t) - 5*x(t). What is the first derivative of m(r) wrt r?\nAnswer: 686*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 827598559 to the nearest integer?\nAnswer: 28768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 + -123. Is 30576\/28 + s\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**3 + 813*s**2 + 58557*s + 463347 = 0.\nAnswer: -131, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w + 30. Let u be i(5). Suppose u = 4*k + 2*t - 1148, -4*k + 3*t - 1 = -1169. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*u*y**4 + 3303*u*y**2 - 15*u + 44*y**4 + 4*y**3 - 6 wrt y?\nAnswer: -1032*u*y + 1056*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 + 237*h**2\/2 + 467*h - 1410.\nAnswer: (h - 2)*(h + 6)*(h + 470)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*z = -22*z + 42*z - 1404 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*j + 24*j - 71*j.\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*p - 1. Let x be 93\/(-9) - 2\/p. Is -11 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*p = -2*p - 100, 4*p + 20 = 0. Let z be (-2002)\/8 - (-4)\/g. Let s = -176 - z. What are the prime factors of s?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**2 + 1. Let l(s) = 2*s**2 - s - 2. Let p(w) = -l(w) + o(w). Calculate p(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2618, 2615, 2612, 2609, 2606?\n\"Answer: -3*r + 2621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/77247181 or 1?\nAnswer: 20\/77247181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/25)\/(-2)*(-4)\/(24\/15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -15*z**2 + 32*z - 9. Let i be h(3). Let w = -59 + 10. Is i at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 (base 7) in base 3?\nAnswer: 11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**4 + 2*g**4 - 4 + 2 + 0*g + 0*g + 2*g**4 + (-4*g**2 + 2*g**2 - g**2)*(-2 + 2 - g**2))*(2 + 1 - 5).\nAnswer: -14*g**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 70 + 2?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2671 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*z**2 - 836*z - 184 = 0. Calculate z.\nAnswer: -23, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130583400 and 824?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, 6, 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 w, and 1 t when four letters picked without replacement from wwatawaaat?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 6:00 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, y: 1, t: 3}. What is prob of picking 3 t and 1 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = a - 17, 2*a - 8 - 2 = -2*q. Let w be -1 + a + -5 + 9. Solve 3*j - w*x = -x - 18, -5*j + 2*x = 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 4 - (11 + 2 + -7)) + 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -90885 or -90586?\nAnswer: -90586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/3 - 3859*c**4\/3 + 11569*c**3\/3 - 3853*c**2\/3 - 11570*c\/3 + 7712\/3 = 0. Calculate c.\nAnswer: -1, 1, 2, 3856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -2 - sqrt(275)) + -4 + (2*(sqrt(275) + 0 + sqrt(275)))**2 - ((3*(sqrt(77) - sqrt(77)*2))\/sqrt(7) + 1).\nAnswer: 3*sqrt(11) + 4393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4 - 8*d + 222*d**2 + 9*d + 4. Is w(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 1) + (50 + (-29 - -12 - -6) - 10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y + 10*y - 37521 = 0. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 22.7966 centuries?\nAnswer: 2279.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23*204\/2737*(-210)\/(-12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 - 68*b**3 - 374*b**2 - 616*b - 312.\nAnswer: 2*(b - 39)*(b + 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 8. Solve c = j - 0*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9023*m**3 + 1172988*m**2 - 3600437*m + 798.\nAnswer: (m - 3)*(m + 133)*(9023*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 5\/10) + -1. Sort i, -4, 0.4 in descending order.\nAnswer: i, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, n: 4}. Give prob of sequence aaaa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (5 + (4 - 9 - -8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 10*o + 14. Let b be f(11). Solve 0 = -2*q - 2*s + 16, -5*q + b*q + 2*s = 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -131*j + 122. Let t(r) = 105*r - 121. Calculate 4*h(w) + 5*t(w).\nAnswer: w - 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1810\/74109 or 0?\nAnswer: 1810\/74109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 436146 and 64056?\nAnswer: 29657928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2140 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1781191820 to the power of 1\/2, to the nearest integer?\nAnswer: 42204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k + k + 2*k - 1 + 1 + (k - 1 + 1)*(-3 + 2 - 1) - 4*k + k + 2*k + 124 - 124 + 3*k + 2*k + 4*k - 5*k)*(18 - 113 - 112 + 30)*(k + 0*k - 8*k).\nAnswer: 6195*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*1\/(-2) + 95. Suppose 0*q = 3*q + 2*v - o, -129 = -4*q - 3*v. Let a be 18\/q - 21\/(-15). Solve -17 = -i + 6*i + f, a*f = -2*i - 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**3*s**2*y**3 - 5*q**3*s**2 - 13*q**3*y**2 - 267*q**2*s**2*y**3 + 3*q*s**2*y**2 - 2*q*s*y**2 - 2*q*y**2 wrt y.\nAnswer: 12*q**3*s**2 - 1602*q**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**4 - 15800*d**3 - 31524*d**2 + 237024*d + 568512 = 0.\nAnswer: -3948, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -35 - 80*o**5 - 210*o**4 - 84*o**2 - 16*o - 601\/3*o**3. Factor g(l).\nAnswer: -(4*l + 1)**2*(5*l + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -576*c - 41. Let g(h) = -2304*h - 186. Let a(u) = 2*g(u) - 9*t(u). What is the derivative of a(i) wrt i?\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -18, 116, 392, 858, 1562?\nAnswer: 2552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -51. Let c = 20.99973 - u. Round c to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -162 - -167. Sort q, -3, -4, 3, 7 in descending order.\nAnswer: 7, q, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -19*c + 100. Let r be i(15). Let m = r + 242. Calculate the lowest common multiple of m and 12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/11)\/(q*q**(1\/6)\/q*q)*(q\/(q\/(q*q**(-3\/7)\/q)))\/q**(-3\/2))**(-9))**(-2\/75) assuming q is positive.\nAnswer: q**(-128\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/91 in -0.5, -369, -1\/4, 3\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 5:23 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2 + 3*y**2 + 2*y**2. Suppose -5*v + 5 = -5. Let z(l) = 5*l + v*l - 3*l + 0*l. Calculate n(z(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*z + 211 = 1129. What is the second biggest value in -0.5, z, -3\/25?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 3*x + 5*q, -x + 0*q = -2*q + 30. Let r = x - -69. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2*-35358.\nAnswer: 42429.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1929, 3859, 5789?\nAnswer: 7719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -14. Let n = -30 + 48. Suppose 2*l + 3*h - 2 = n, 5*l - d*h = 4. Calculate the highest common factor of l and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/8 + -4)*-2. Sort 4, 2, d.\nAnswer: 2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -244*f**3 - 2*f**2 - 16*f - 24. What is the units digit of a(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -15. Let x(q) = q**3 - 7*q**2 + 7*q - 5. What is the units digit of x(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2085*-10\nAnswer: 20850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 552 divided by 4\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (154\/55)\/(1\/50)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -75894?\nAnswer: 1\/25298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*o + y + y, -o + 2*y + 2 = 0. Let h = o + 6. Factor 1\/2*v**2 - 1\/2*v**3 + 0 + h*v.\nAnswer: -v**2*(v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/40*-2*70700\/1515?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-4)\/(-2))\/10)*174*540\/(-3915)?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by -579\nAnswer: 56\/579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1573790*p**2 - 109*p + 519153792.\nAnswer: -3147580*p - 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143 and 130.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157.7 + -156.7. Let j = 0.85 - 0.87. Which is the biggest value? (a) -4 (b) -0.04 (c) n (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/616 and -69\/182336.\nAnswer: 182336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1171685596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 - -5 - 0)\/((-2)\/4). Suppose -b = g*c - 4*c + 5, 4*c = -3*b - 7. Sort -3, b, 11, 0 in decreasing order.\nAnswer: 11, b, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 11:39 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172704 by -3084.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.7 (b) 4 (c) 2\/15 (d) 149505 (e) -3 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 86*l + 703. What is z(-94)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376451929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 6:20 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 127258 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -15) + -20 + 1 + 9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/18*624\/234?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1571403?\nAnswer: 3, 523801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1119941318?\nAnswer: 2, 559970659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c - 3. Let i be r(-5). Let n = 30 - i. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*u = 12, -4*h = -u - 0 - 14. Factor -6*m**h + 3*m**2 + 2*m**5 + m**5 + 3*m**3 - 3*m**2.\nAnswer: 3*m**3*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.9 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183077*q**2 - 855008*q**2 + 267615*q**2.\nAnswer: -770470*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k. Let m(g) be the second derivative of g**6\/240 - g**4\/4 + 4*g. Let d(i) be the third derivative of m(i). Give d(j(y)).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147.65 + 140.731. Let w = y + -0.081. Is 1\/3 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 - 20 = 5*a, -4 = -3*a - 2*r. Let i(h) = 5 - 2277*h + 4526*h - 2244*h. Calculate i(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 22*c**2 - 33*c - 12. List the prime factors of m(24).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.003, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, -0.04, -0.4, 1 in decreasing order.\nAnswer: 4, 1, -0.04, -0.4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvkxxvxxxv. What is prob of sequence vkk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-76)\/(-190)*30\/4. Solve -16*w - x = -3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(48\/6)*0\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 + 0 + 325\/(-30) - 17\/(-6). Solve -x + 13 = -3*s, r - 13 = s - 2*x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 9:21 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18981 - 7?\nAnswer: -18988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11\/2 of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = 2*g + 6, 15 = -3*g + 3*z. Let p be 3*-2*2\/g. Let m = 3 + 2. Sort m, 2, p in increasing order.\nAnswer: 2, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2906 divided by -1?\nAnswer: 2906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000242827 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 5*s - 6 + 9, 0 = 3*a + 5*s + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 35, 43, 65, 107, 175, 275, 413?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788703 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16397, -38304, -60221, -82154, -104109, -126092?\n\"Answer: -h**3 + h**2 - 21903*h + 5506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 33*z**3 + 7*z**2 - 8*z - 1. Let p(b) = 2*b**3 + b**2 - b. Give 2*c(y) - 14*p(y).\nAnswer: 38*y**3 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*v + 4*x = 17, 0 = -3*x. Suppose 8 = 2*f, 25*h = 22*h - f + 562. Calculate the remainder when h is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -30. Put y, 2, -3, 7 in decreasing order.\nAnswer: 7, 2, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -20*f**2 - 1160*f + 346. Let h be o(-57). Solve -1516 = -10*r - h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 343\/23 + -3253\/414. What is the common denominator of -87\/8 and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14450 + -52?\nAnswer: 14354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 4:14 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = u + 3*u - 32, 24 = 3*u + 3*y. Solve u*p + 3*p = 44 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 202746726 and 1048464?\nAnswer: 1621973808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -173, 1, 5, 3, -1, 19 in descending order.\nAnswer: 19, 5, 3, 2, 1, -1, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m + 2. Let c(l) be the first derivative of -2*l**2 - l - 113. Determine -2*c(b) - 3*u(b).\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28049912 to the nearest integer?\nAnswer: 5296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-175)\/(-30)*(-15)\/((-5670)\/108).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16620 divided by -4155?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 6. What is the derivative of f + 2*i**3 - 2*i**3 + 3*i**3 wrt i?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30\/12*498\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*u + 617 + 215. Suppose -374 = -14*w - u. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*(sqrt(68) + -4*sqrt(68) + sqrt(68)))\/sqrt(4).\nAnswer: -6*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 3*h. Let j be n(-4). Let d be (6\/2)\/(4043\/1352 - 3). Let a = d - -2186\/7. Sort a, -13, j in decreasing order.\nAnswer: j, a, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53.71 equal to -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 - (31 + (-58 - -16) + -49 + -1).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 6*y**2 + 7*y - 7. Let l be f(5). Let r(v) = -9*v + v**3 + 2*v**2 + 0*v**l - 7*v**2 - 7. Is r(7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1050600 and 11\/40800.\nAnswer: 4202400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1985722.\nAnswer: 2, 992861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyit when four letters picked without replacement from {t: 1, y: 5, c: 1, i: 3}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000044391 rounded to 7 decimal places?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241, 613, 985, 1357, 1729?\nAnswer: 2101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2014050 (base 6) to base 8\nAnswer: 272416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + c3?\nAnswer: c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**4\/4 - 50*s**3 + 153*s**2\/2 + 302*s - 4089. Factor z(o).\nAnswer: -(o - 2)*(o + 1)*(o + 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + 109. Let u(b) = -2*b**2 + 742*b. Determine k(u(x)).\nAnswer: 6*x**2 - 2226*x + 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33139 and 12724307?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35\/(-11 - -18) - -15. Calculate the highest common factor of f and 355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 26609 + 46729 = 6*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21102200 (base 3) in base 11?\nAnswer: 4086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 3*n + 4. Let k(f) = -3*f**2 - 8*f - 11. Suppose o + 2*c = -13, -2*c - 2 = -0. Give o*x(i) - 4*k(i).\nAnswer: i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3758907?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + sqrt(1377) + sqrt(1377)*-1 + -1)**2.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3771, -3768, -3763, -3756, -3747, -3736?\nAnswer: -3723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7477481 is divided by 498497.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -b7d5 (base 14) in base 15?\nAnswer: -9613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 5. Let w be d(0). Is (w - -3)*(-181)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**3 - 1 - 2*m - m + 2 + m**3 to p*m**3 + a*m + y*m**2 + i and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 40 = 3*o - 110, -2*o = -l - 45. Suppose -37 = -w + o. Let v = w - 36. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -128, -299, -526, -803, -1124, -1483, -1874?\nAnswer: -2291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3 - 16824*d**2 - 11644416*d - 1975228416 = 0. Calculate d.\nAnswer: -336, 17496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + q**2 - 218650 + 218650.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1102002001 (base 3) to base 15\nAnswer: -8357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -164 + -100. Suppose 5*y + 509 = -0*s - 2*s, -2*s = y + 97. Let a = y - u. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, 4, 23, 60, 121, 212, 339, 508?\n\"Answer: l**3 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1 - -2. Let j = 1643.06 - 1643. Let y be ((-2)\/(-6))\/(22\/(-12)). Which is the nearest to s? (a) 0.5 (b) y (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46.95 and -2.2?\nAnswer: -103.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -4.044. Let n = 579.944 - 580. Let o = n - b. Sort -0.2, o, -5 in descending order.\nAnswer: o, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 46*k - 69. What is v(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -41095.971 rounded to the nearest one hundred?\nAnswer: -41100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -190 + 190 - 155*w to h + l*w and give l.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616616063.\nAnswer: 7, 19, 37, 125303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19.94 smaller than 33.44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5\/4, -2\/9, -1195, -2.\nAnswer: -1195, -2, -5\/4, -2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (219\/5)\/(((-3)\/2)\/(15*(-9)\/54))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihir. Give prob of sequence hri.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + f. Let b be o(0). Let g = 6 - -2.2. Let n = g + -8. What is the nearest to b in -5, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -349850, -1399247, -3148196, -5596697?\n\"Answer: -349776*v**2 - 69*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21646 (base 8) in base 13?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(-1*sqrt(2))*3)\/(-2*sqrt(20)\/(sqrt(4) + (sqrt(4)*-1 - sqrt(4)))).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1310\/(-39693))\/((-8)\/(-24) - 2).\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7079.2 - -7079. Which is the nearest to v? (a) 6 (b) -5 (c) 0.1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-43)\/215 + 7722\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(12)\/(sqrt(12)\/(sqrt(3)*-2)))**2.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -17*m + 9. Let b(l) = -34*l + 17. Let w(c) = -2*b(c) + 5*u(c). Let g(y) = 9*y - 6. Let h(s) = 7*g(s) + 4*w(s). Does 11 divide h(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14746732 and 812.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a - 2. Let j(u) = -4*u - 1. Let c be -5 + (-5 - -1)\/(-2). Let k(t) = c*j(t) + 2*h(t). Is 14 a factor of k(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 10, d: 2}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1858.8817 take away 1114431?\nAnswer: -1112572.1183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*p - 7542 - 4090. Let c = p - -732. Solve 0 = -3*l - 3*o, 0 = -7*l + c*l - o - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 37 + (-24 - (-4 + (6 - 2) + 1))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1432 and -0.42.\nAnswer: -601.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52284 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + (1*sqrt(833) + sqrt(833) - sqrt(833)))*5.\nAnswer: 25 + 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.93 - -0.53. What is the biggest value in 3, c, -2\/7, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -13.34. Let p = 0.3 - 1.3. Let w = b + p. What is w rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 343 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 8:16 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3813734457 and 549.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3616\/452)\/(((-6)\/(-2))\/((-15)\/(-5))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**12\/((y\/((y**(-4)\/y)\/y))\/y))\/((y**(-3\/8)\/y)\/(y\/y**6)) assuming y is positive.\nAnswer: y**(19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5 = 5. Suppose 90 = u*t - 7*t. Is (-2)\/(-9) + (-662)\/t 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 150282?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 - 21*p - 50. Calculate h(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 205 = -340. Is 27 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 9*z**2 + 63*z + 59. Calculate t(14).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 0.3 (b) 2 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300\/(-140)*5\/25?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004777804153 to six dps.\nAnswer: -0.000478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 251727100 to the nearest 100000.\nAnswer: 251700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 159400 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8857431 by -805221.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 221136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248 and 29791?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**3 - 9179 + 30*i**2 + 1789 + 3*i - 28*i**2.\nAnswer: 9*i**3 + 2*i**2 + 3*i - 7390","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26209*b*t**2 - 145*b*t + 3*b + t**2 + 39418 with respect to t.\nAnswer: -52418*b*t - 145*b + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1523? (a) -0.1 (b) -51 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, o: 1, f: 1}. What is prob of picking 2 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89998 is divided by 53.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -30. Suppose -2*j + i = 2*j. Suppose j*b = 2 + 22. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -o - 4 + 24, 0 = 3*o - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*o + 3*r, 4*o - 7*r - 24 = -2*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-748)\/2805)\/(6\/(-45))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 147 = -21. Suppose 17*t - 19*t = -f. Suppose 3*y = 2*y + 3. Calculate the remainder when t is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**5\/3 + 360*h**4 - 294818*h**3\/3 + 578528*h**2 - 480615*h = 0.\nAnswer: 0, 1, 5, 537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110100100001010 (base 2) to base 4.\nAnswer: -312210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/14*8\/100. Let k(a) = -2*a - 7. Let h be k(-8). Suppose 8*y - 1 = h*y. Which is greater: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tteeeeee. What is prob of sequence te?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 11*w**6\/120 - 29*w**3\/6 + 12*w**2. Find the first derivative of n(d) wrt d.\nAnswer: 33*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 11 + 13 + (-14 - 7) + 1?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1795123.\nAnswer: 11, 163193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = v, -3*k + 947*v + 215 = 901*v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(-2\/17)\/(j**(-2)*(j\/(j\/(j\/j**(-1)*j)))\/j))**(-3) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20429325*c**3 + 15164405 wrt c?\nAnswer: 61287975*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 2\/3, 946?\nAnswer: 946","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 2) + (-4)\/(-6)*3. Let p be (-2)\/1*(-25)\/20. Which is the nearest to 0.6? (a) 0.1 (b) w (c) 1\/9 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202 = -23*j - 64 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqf when three letters picked without replacement from ffllllfzqz?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**3\/3 - d**2\/2 - 37*d. Let o(w) = -2*w**2. Calculate q(o(u)).\nAnswer: 4*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.88 + 32.92. Let w = 135.6 - p. Round w to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two ninths of a week in minutes?\nAnswer: 35840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -46, 2\/9, -8\/27, 0?\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.2 (c) -1\/10 (d) 108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1)*(-6 + 30 + -7).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3225*t + 25831 - 298596 = -16*t for t.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 525 and 0.015.\nAnswer: 7.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 0*h**3 - 1\/60*h**5 + 1\/12*h**4 - 8*h**2 + 0 + 0*h. Find the second derivative of i(a) wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -28, -100, -302, -700, -1360?\n\"Answer: -11*s**3 + s**2 + 2*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -20, 4*l - 16 = 26*b - 30*b. Factor 0 + l*t + 0*t**2 + 0*t**3 + 1\/6*t**4 - 1\/6*t**5.\nAnswer: -t**4*(t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 4. Let n = 35 + -33. Suppose -n*q = -q + 17. Let c = q - -13. What is k(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 8*k**2 + 3*k - 54. Let c = -2535 + 2529. Let f be q(c). Factor 2\/9*w**4 + 0 + 2\/9*w**5 - 2\/9*w**2 - 2\/9*w**3 + f*w.\nAnswer: 2*w**2*(w - 1)*(w + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 4*s**2 + 4*s - 3. Let m be v(-5). Suppose 0 = m*c - 9 - 3. Solve 3*n + 3 = -c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.53 - -7?\nAnswer: 2.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14025.7 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 283139 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 417*w**3 - 454?\nAnswer: 1251*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2678 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 3, 0, -817, -4.\nAnswer: -817, -4, 0, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**4\/24 - o**3\/6 + 9*o**2 - 2*o + 111. Let q(j) = -32*j - 1. Determine -k(i) + q(i).\nAnswer: -31*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 2284.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/5 - 2734072*y\/5 - 1640436.\nAnswer: -4*(y + 3)*(y + 683515)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 4)*(-6*g - 5*g + 13 + 10*g).\nAnswer: -5*g + 65","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + k + 33. What is g(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 2. Suppose -4 + u = 4*d. Let i(v) = -10*v**2 + v. Determine i(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11978.08079 to the nearest 10.\nAnswer: -11980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/10)*t*(t*t**18\/t)\/t*(t*t**(-6))**(6\/7))**7 assuming t is positive.\nAnswer: t**(939\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -11\/6*c**3 + 0 + 2*c + 1\/2*c**2 - 1\/12*c**4. List the prime factors of q(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2. Let m be -2 + -5 - 243\/(-27). Suppose -m*p = w, -3*s + 2*p = p - 120. Calculate the highest common divisor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*t - 2, -4*k + 0*k + 4*t = 8. Let h = -31 + 44. Calculate the remainder when 1 + k - -5*5 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1, -5\/8, 2\/5, 4\/7?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*(sqrt(80) - (3*sqrt(80) + sqrt(80))) - (6*(sqrt(720) + -3) + 1)**2.\nAnswer: -26211 + 2472*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0792582 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -1)\/((520\/(-117))\/(-40))*19. What is the greatest common divisor of t and 3087?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 less than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*p - 4808, 13*p - o = -5*o + 20746. Calculate the lowest common multiple of 18 and p.\nAnswer: 14382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 + 1.1. Which is smaller: 10 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*y**3 + 47*y**2 - 83*y**2 + 36*y**2 - 14 as v*y**2 + k*y + d*y**3 + b and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 7)\/(-14 - -15 - 2). Solve -u = -q - 4*q - 3, m*u - 21 = 3*q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411368 is divided by 614?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3107*x + 867*x + 1074*x - 2*x**3 + 966*x.\nAnswer: -2*x**3 - 200*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16669673 by 17.\nAnswer: -980569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.9661*85\nAnswer: -82.1185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3633\/168 - ((-6)\/16)\/1. Suppose -s - 10*s = -l. What is the second biggest value in s, 1, 0.1, -0.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veyiixeovoeoxvoevvyv. Give prob of sequence eiy.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -173036.156083 - -172847.406. Let a = r - -189.14. Let d = a + -0.39. Round d to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1*sqrt(343) + sqrt(343))**2 + sqrt(343))*1 - ((sqrt(700) + 1*sqrt(700))**2 + (sqrt(28)\/(sqrt(12)\/sqrt(3)) - sqrt(7))).\nAnswer: -1403 + 147*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4084 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 7:22 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -13*f**2\/2 - 7*f - 9. Let q(c) = 4*c + 2. Let i(u) = -2*l(u) - 7*q(u). Let r(v) = -40*v. Determine r(i(h)).\nAnswer: 80*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 2511 + 2205. What are the prime factors of d?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 2, 80 in increasing order.\nAnswer: 2, 3, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 10*o + 375 - 415, o + 31 = -3*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 74*l - 2. Let u(j) = 222*j - 6. Let v(h) = -7*b(h) + 2*u(h). Let o be v(-13). Suppose -4*d + o - 292 = 0. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/4)\/((-4)\/(-8)). Let u(h) = -h**2 - 5*h - 1. Let n be u(-3). What is the greatest common divisor of w and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.293 rounded to one dp?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6112 and 4.\nAnswer: 6112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2859809 rounded to three decimal places?\nAnswer: 0.286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - g. Suppose -2*z - 16 = 4*l, -z + 7 = -2*l - 5. Let s be c(z). Calculate the greatest common divisor of s and 294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5694?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-12\/11)\/z)\/z*z)\/(z*z\/(z*z*(z**(-4)\/z)\/z))*(z**(-1\/3))**(-4\/11))**(2\/61) assuming z is positive.\nAnswer: z**(-526\/2013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 7*z - 22 = 5*r, -3*z = -6*r - 27 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2. Suppose -2*t + 736*k = 732*k - 28, -t + 3*k + 18 = 0. Let g(a) = 2*a**2 - 3*a - 1. Give t*l(j) + 2*g(j).\nAnswer: -2*j**2 - 6*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 396.5 + -397. Put -179, -1, h in ascending order.\nAnswer: -179, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 545 + -537. Solve 0 = j*r - 2*r - 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1 (b) 0.5 (c) 4\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 4 - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(1 + -2) - (-12)\/(1920\/3640).\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-307 - 197 + 775 + 1732 + 269)*(-4*u + 3*u - u).\nAnswer: -4544*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 16412?\nAnswer: -16417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 17. Let b(o) = -2*o**3 + 1. Determine b(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1252245505 - 22?\nAnswer: 1252245443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2261612*a**3. Let o(s) = 1347*s**3. Give 4*f(h) - 6715*o(h).\nAnswer: 1343*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*w**3 + 5920*w**2 - 7778*w + 1832.\nAnswer: 2*(w - 1)*(w + 229)*(13*w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**5*(d**(5\/2)*d)\/d*d\/(d\/(d*d**(3\/2)))*d*d*d**(-1\/9)*d assuming d is positive.\nAnswer: d**(116\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -9*s + 10*s. Let d(w) be the third derivative of -1\/240*w**5 + 0 + 0*w**s + 0*w + 0*w**6 + 2*w**2 + 1\/1680*w**7 + 1\/48*w**3. Factor d(h).\nAnswer: (h - 1)**2*(h + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p + 2. Let i(s) = -14*s + 9. Let l(b) = -i(b) + 4*k(b). Let r(j) = j. Calculate -l(x) + 5*r(x).\nAnswer: 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*l - 37, k + 5*l + 2 = 31. Let f be ((-3)\/k)\/(-1) + (-13)\/65. Factor f*v**2 + 0 - 2\/5*v.\nAnswer: 2*v*(v - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7795 + -15519\/2. Let z(b) be the first derivative of -25\/3*b**6 - 3 + 52*b**2 + 8*b**5 + w*b**4 - 16*b - 220\/3*b**3. Solve z(q) = 0 for q.\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avtnauaua. What is prob of picking 1 a and 1 u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290564 = -26*d - 78*d + 8540. Calculate the lowest common multiple of 4 and d.\nAnswer: 2876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 3*g = 1, -134*g + 136*g + 4 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (77\/33)\/((-2)\/(-96)). Calculate the highest common factor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -6 - 0. Let n(l) = -l**2 - 6*l + 2. Let q be n(g). Solve 2*t - 6 + q = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 8, 3.\nAnswer: -12, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111100010001 (base 2) in base 6?\nAnswer: 202425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -380 (base 15) to base 12\nAnswer: -563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/4*(-64)\/(-24). Let r be (8 + t + -3)*1. Which is the biggest value? (a) 0.5 (b) -0.5 (c) r (d) -18\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 855. Let q(y) = 551*y**2 - 397*y**2 - 155*y**2. Calculate q(i(b)).\nAnswer: -4*b**4 - 3420*b**2 - 731025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 154369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w - w - w)*(0 + 3 - 1)*(4 - 4 + 2*w) - 49*w**2 + 29*w**2 - 43*w**2 + (-3*w + w + w)*(w + w - 4*w) in the form r*w + k + c*w**2 and give c.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4*j + 4 + 2*j.\nAnswer: -2*j + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 5) to base 16.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*o + 6 = 0, 4*o - 1 = -5*w - 3. Let z = 6 + w. What is the third derivative of -z*l**2 - l**6 + 3*l**6 + 3*l**2 wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from {n: 1, d: 1, s: 4, v: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u + 130 + 26 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/2 + -9 + (0 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4. Let x = z + -4. Calculate the least common multiple of 10 and 3*1 - (-3 - x).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 985?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 divided by 10735?\nAnswer: 306\/10735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -650, -2053, -3338, -3641, -2098, 2155?\n\"Answer: 144*a**3 - 805*a**2 + 4*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*n + 8*n + 34189 = 0, -n - 1 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5068*j + 34752. Let d(g) = -g - 8. Let z(x) = -4344*d(x) - p(x). Let h(y) = -3*y. Determine h(z(i)).\nAnswer: 2172*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-14) - (-775)\/217. Does 23 divide 46*(q + (1 + -3 - 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14158, -47678, -103544, -181756, -282314?\nAnswer: -405218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 3*a - 13. Let f be p(-3). Solve n + 3*v - 3 = 4*v, -f*v + 17 = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1\/4, 2, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-2 - -1 - -2). Let h(a) = -a + 1. What is h(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, -42, 7 in ascending order.\nAnswer: -76, -42, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -2*r + 657. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1081\nAnswer: -1\/1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19026 and 14.\nAnswer: 19026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4 + -2)*736\/(-16). Let s = r - -367. What are the prime factors of s?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 14\/(-6) - 4\/48.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 362468.\nAnswer: 1812340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddrc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*f**2*t**2*v**2 + f**2*t**2*v - f*t*v - 3*t**2*v**2 - 6*t**2*v wrt f?\nAnswer: -50*t**2*v**2 + 2*t**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5746*a*q**2*w**2 + 5*a*q*w**2 - 3*a - 2*q**2*w**2 - 1878*q*w - 34*w wrt a.\nAnswer: 5746*q**2*w**2 + 5*q*w**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t + 2*t + 1 + t)*(-4*t**3 + 16*t**3 + 14*t**3) + (-4*t**3 + 0*t**3 + 3*t**3)*(-29 - 11*t + 29) to d*t**2 + q*t + b*t**4 + g + v*t**3 and give b.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/324)\/((-21)\/168)*(-42)\/(-8)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -38.2. Let u be (1\/(-5))\/((-6)\/10). What is the smallest value in c, 0.2, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2\/5 - 12938*h\/5 - 573988 = 0. What is h?\nAnswer: -6239, -230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) -0.1 (b) -9 (c) -1\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 2 + 1*-6. Let g = -5 - t. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 15 = -0*l. Calculate the remainder when (1 + (-12)\/8)*-116 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/6 - (1 + -4). Let g = 0.04 + 1.96. Let s = g + -1.9. Which is bigger: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6816 = 4*d + 363, -d = 5*q - 35874. Suppose 2*x + 5*i = 4765, -3*x + q = i + i. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*k**3 + 2*k**2 - 361*k + 42174 wrt k.\nAnswer: 141*k**2 + 4*k - 361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -269bea (base 15) to base 4\nAnswer: -13011001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -21 - 5\/6*i**3 + 0*i - 5\/4*i**2. Factor b(s).\nAnswer: -5*s*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32580 + 49997. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 25 = -7*t, -5*d + t - 5 = 0. Let a(z) = -z + 1. What is a(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -1 (c) -7 (d) 0.4 (e) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130848, 130850, 130852, 130854, 130856, 130858?\nAnswer: 130860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22576?\nAnswer: 2, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06099739 rounded to four dps?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30*j**4 - 5*j**2*z**2 + 9*z**2 + 26 wrt j.\nAnswer: 120*j**3 - 10*j*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/30*1*(-24)\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00038980529 to five dps.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4369 + 0.0631. Let o be 42\/(-462) - ((-156)\/22 - -3). Let c = 3 + 1. What is the closest to o in c, -0.5, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 22, -0.4, -40, 2, 7 in increasing order.\nAnswer: -40, -24, -0.4, 2, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -23155 (base 8) to base 2\nAnswer: -10011001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1142665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.2 + -0.8. Suppose 3*v = -4*g + 150, -13*g + 3*v + 30 = -12*g. Let m be (g\/(-396))\/((-2)\/4). What is the third biggest value in 0.3, m, w, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from ddddvnmdg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3912 and 93562.\nAnswer: 1122744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 23\/2*t**2 + 3 + 11\/4*t**4 + 0*t**3 - 8*t. What is the derivative of x(o) wrt o?\nAnswer: 66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.99 - 11.5. Let i = 16.9 + -2.9. Let d = i - m. Round d to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*x - 1. Which is bigger: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 9*w + 9*w**2 - 6*w**2 - 3*w**2 + 27. Let p be m(-11). Solve -p*b = -7*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/240)\/((-504)\/(-837) + (-2)\/(-31))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 13*u = 32. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdii. Give prob of picking 2 i and 1 c.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8230 is divided by 33?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/540 and 149\/26964.\nAnswer: 404460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13615*r**4 + 2*r**2 + 641*r + 5.\nAnswer: -326760*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4540 divided by -7?\nAnswer: -4540\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.1 + -11. Sort 1\/4, y, 4 in descending order.\nAnswer: 4, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-135)\/(-15)*(-20)\/(-6). Let s be 18\/g + -1 - 44\/(-10). What are the prime factors of (570\/(-20))\/((-3)\/s)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let q(a) be the first derivative of 2\/3*a**3 + 0*a**2 - 117 - 61*a. Determine q(p(t)).\nAnswer: 2*t**2 - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 495.\nAnswer: 49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 5:20 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 421 + 1477. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.722 - -1.6. Let m = 0.192 + i. Sort -1, m, -1\/2 in ascending order.\nAnswer: -1, -1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -59195*q + 5090762. Give f(86).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 1*(1 + -7). Let b(m) = m**2 - 1. Suppose 15*u = 23*u - 8. Let a(x) = 3*x**2 - 5. Calculate l*b(v) + u*a(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-441*j + 259*j - 548*j)*(5 - 5 - 3*j).\nAnswer: 2190*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*p**2 - 2991*p**3 - p - 41 - 28 + 2*p**2 - 827*p**3 wrt p?\nAnswer: -22908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57487.6 - 57506.79384. Let j = -40.19358 - g. Let q = j + 21. Round q to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 352. Let h(w) = 636*w**2. Calculate h(x(p)).\nAnswer: 636*p**2 - 447744*p + 78802944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14218 - 14214. Solve t = -n + u*t, n + t = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2213 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*b - u - 2, -2*u + 2 = -2*b. Suppose 6 = 5*x - 2*q, x + q + b - 1 = 0. Suppose x*g + g = 4. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5487 + 8063. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/2764630 and 119\/30.\nAnswer: 8293890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22520.273 and 1.\nAnswer: 22521.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12353, -19395, -26437?\n\"Answer: -7042*b - 5311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/450 - 1070\/(-150))*-6.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 374? (a) 2\/13 (b) -1\/3 (c) -172\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 184\/5 - 37. Suppose -10*i + 7*i = -12. What is the closest to 1\/3 in 2\/5, i, t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 2:19 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -4 - 6) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**1*r*r)**(-4)\/(r**1)**(-14) assuming r is positive.\nAnswer: r**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 4. Is 3 a factor of 1\/(-6)*i*-9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 361*y = -4*v - 358*y - 68, 7868 = 4*v - 1983*y for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-217)\/5 - 26\/(-65). Let r = s - -42. What is the nearest to r in 0, -5, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-74)\/(-12) - ((-120)\/96)\/((-5)\/24). What is the third biggest value in q, -0.08, 0?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-33)*(189\/(-1890))\/(1\/(-2)).\nAnswer: -1\/165","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) -5310 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.6 - 14.66. Which is smaller: 13 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4074, 8155, 12240, 16329, 20422?\nAnswer: 24519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149618.\nAnswer: 2, 7, 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(sqrt(2736) + 1))**2 + ((sqrt(684)*-1*-6 + sqrt(684))**2 - 1*(sqrt(684) + 1)).\nAnswer: 18*sqrt(19) + 36252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 6*g**2 - 2*g + 7. Suppose q + 3*c - 10 = 0, 0*q - 5*c = -2*q + 9. Calculate y(q).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 0, -234 in increasing order.\nAnswer: -234, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -0*r + 8. Let o be (-4)\/2*((-21)\/2 - -3). Suppose -3*b - 9 = 2*p, p + 5*b + o = 6*p. Solve -3*z - 2*i - 19 = p, 0 = r*z + 2*i + i + 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 122277300 - -7?\nAnswer: 122277307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + a + 11, 0 = -2*t + t + 3*a - 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g - 10. Let w be (-7 - -6)*(-7 + 0). Let b be k(w). What is the derivative of 6 + 0*d**3 - 3 + 0*d**3 + b*d**4 wrt d?\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 208.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 - 12 - -16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5190 divided by 3.\nAnswer: 1730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -123*j - 1225. Let u be h(-10). Let l be 0 + (-1 - -1) - -2. Solve z = l*z - u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**3 + z**2. Let q(s) = 21*s**3 + 5*s**2 + s. Suppose 2*a = -2*g - 3 + 17, -2*a - 3*g + 10 = 0. What is a*c(i) - 2*q(i)?\nAnswer: 2*i**3 + i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -69 + p**2 + 22 + 0*p**2 + 10*p + 19 + 21. Suppose j = -2*j - 39. Let d be l(j). What is the highest common factor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 4*q**2 - 5*q - 20. Let b be o(-3). Let y(f) be the second derivative of 0 - 3*f**2 + 4*f - 5\/6*f**b - 7\/3*f**3 - 1\/10*f**5. Factor y(z).\nAnswer: -2*(z + 1)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -3. Let d be (-56)\/(-7) + (1 - -3). What is the highest common factor of c and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -280 + 516. Let j = l + -227. Solve -16*k + 13*k - j = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, d: 11, w: 2}. Give prob of picking 2 h and 1 d.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5 + 50*o + 46*o - 97*o. What is k(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 4:28 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 1639 - 5419. What is the smallest common multiple of 6 and c?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8375 + -5974. Let b = h - 796. List the prime factors of b.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fifiiifffiiii. Give prob of sequence ii.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 240.515 + -0.515. Let n = q + -249. Which is the closest to 1? (a) -0.5 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 9:58 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571*c**3 + 839*c**3 + 561*c**3 - 2538*c**3 + 568*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1 - -3) + 112\/5)*5. Let n = 202 - b. Calculate the highest common divisor of 40 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 10*b + 5*b as w + g*b and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 4:53 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 16*c**2 - 46*c + 34. What is p(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 + 17*x**4 - 7*x**4 + (88*x**3 - 14*x**3 + 20*x**3)*(2 - 2 + x).\nAnswer: 104*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 9 = 6*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3808)\/(-91) - 2\/(-13). Let i be (-84)\/(-49) - 4*(-3)\/o. Solve -3*u + 2 = -i*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 232 + 52. What is the highest common factor of 71 and a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3532946 + 6232946. Round h to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*m - 862 + 142 = 292. Solve -3*u = 3*r + 38 - 26, m = -4*u + r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (73 - -2 - 5) - (-47 - -33 - -5).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = j - 30 + 33, 5*j - 45 = -2*c. Suppose -j*k = 2*k - 18. Let p = 3 + -3. Sort k, -3, -4, p.\nAnswer: -4, -3, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/82562 or -3\/272?\nAnswer: 1\/82562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of o**4\/40 - 3*o**2\/5 + 8*o\/5 + 90. Factor w(g).\nAnswer: (g - 2)**2*(g + 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 7*a - 13. Suppose 3 = q - 6. Let h be o(q). Solve h*w + 3 = 4*k + 19, 5*w = -k - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14283918 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 294 and 153242943?\nAnswer: 306485886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 26313631.8 and -1.3?\nAnswer: 26313633.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/4 + 1\/4. Suppose 3*c + 5*y = 329, -c + s*c + 123 = 5*y. List the prime factors of c.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**3 + 31*k**3 - 20993*k + 20993*k.\nAnswer: 22*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106504?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.15943 (b) 6 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 2367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5736 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/218 and 101\/42.\nAnswer: 4578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1550, 2421, 3290, 4157, 5022, 5885?\nAnswer: 6746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -728 = -2*g + 4*p, p - 4*p = -2*g + 724. Let a = g + 57. What are the prime factors of a?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9352 = -43*j - 661*j + 5432 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3\/13, -0.5, 4, 92, -1.\nAnswer: -6, -1, -0.5, -3\/13, 4, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15934565 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + (-45)\/10)*0. Let m(d) = -4 + 4*d + 0 + q*d**2 - d**2 - 8*d. What is m(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168 + 447*f**2 + 86 + 82.\nAnswer: 447*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175816902 by 175816902.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 3*w**2 + 2*w - 3. Calculate u(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0 (b) 0.036 (c) -3\/8 (d) -1\/2 (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 9. Let y be f(-5). Let q be (y\/4)\/((-3)\/(5*-3)). Calculate the lowest common multiple of 2 and (2 - q)*(-30)\/9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c + 15*c = 5*x, 3*c = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**9\/u*u**16)\/(u**(2\/5)*u*u)**(-20) assuming u is positive.\nAnswer: u**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + d - 2 = -4*j, 5*d = 4*j - 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**5\/20 - 7*y**4\/12 - 5*y**3\/6 + y**2\/2 + 2*y. Let n be t(-5). Let z = -3 - n. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 6. Let x be -2 - -5 - p - 0. Calculate the common denominator of -85\/6 and x\/12 - 214\/24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**2 - s - 9. Let j(q) = 4*q**2 + q + 13. Give 7*a(v) + 5*j(v).\nAnswer: -v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/22022 and 43\/2012010?\nAnswer: 22132110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011001 (base 2) to base 10.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 498511 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 162970*h**2*w**2 + 1577*h**2*w - 486781*h*w + 11*h - 3*w**2 wrt h?\nAnswer: 325940*w**2 + 3154*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1375 and 400.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 34175*x - 34180.\nAnswer: 5*(x - 6836)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7563*s*v**3*x**2*y**2 + 4*s*v**3*x - 4*s*v*x**3*y**2 + 3*s*x**2 - 6681554*v**3*x**3 - 6*x*y**2 wrt x?\nAnswer: -24*s*v*y**2 - 40089324*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 k when three letters picked without replacement from khokwwkknkkojhkooh?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-28)\/((-1456)\/(-507)))\/((-6)\/16). What is the greatest common divisor of b and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-300)\/78 - 1) + 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p - 55 - 13*p + p - 13*p - 4*p**2 - 12*p + 45*p.\nAnswer: -4*p**2 + p - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -46647, -46849, -47037, -47205, -47347?\n\"Answer: h**3 + h**2 - 212*h - 46437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*m - 384*m + 74 + 62 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11\/92 + 3\/23. Let j = 176851\/18 + -9831. Find the common denominator of j and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 4*z**3\/9 - 58*z**2\/3 - 128*z - 769. Factor h(g).\nAnswer: 4*(g - 32)*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 532 = 4*n + 184, -120 = -3*m + 4*n. Let j = 130 - 52. Suppose m + j = 2*t. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 16. Let v = y - -19. What is the remainder when ((-102)\/(-9) + -5)\/((-2)\/(-6)) is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 3 - -16) + -3. Let u = p - 7. Suppose 0 = u*s - 43 + 13. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 7\/(28\/1560). Suppose 2*u + 4*o = x, 0*o + 3*o + 12 = 0. Suppose -4*w + u = -94. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(66)\/(sqrt(6)*-2*6) + ((sqrt(11) + -1 - sqrt(11)) + sqrt(11) + sqrt(11))*6 + sqrt(11) + (sqrt(176)\/sqrt(4))\/sqrt(4) + 4)**2 + -4.\nAnswer: -1169*sqrt(11)\/6 + 313259\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1157*i + 999*i + 4898 = 0 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 278453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 - -112?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 40*w**2 + 72*w.\nAnswer: 2*w*(w + 2)*(w + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15 + (-1 - -3) + 1. Let h be (-9)\/d*(-2)\/6. Let k = -6 - -10. Which is the closest to 1\/4? (a) k (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 87 = -a, 0 = -4*n + n + 4*a + 264. Let g = 181 - n. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1958 > -5527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/1309*-105)\/(6\/44).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-2))\/(220\/(-165))*3\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 331, 4, 1, -19.\nAnswer: -19, 1, 4, 24, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 9 - 26) + 64?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-5) - (-9)\/15. Find the third derivative of -6*i**2 - i**2 + i**z + 10*i**2 wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - a5?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2360 and 12685?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1880 + 1976.9. Let i = z - 101. What is i rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from susukskus. What is prob of sequence uk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xgxg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -2. Let v = -2.7 - -0.7. Let g = v + 1.9. Which is smaller: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, t: 1, n: 1, y: 1, o: 6}. What is prob of sequence otfy?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -23 - (-27)\/15*8\/(216\/(-45)). Which is the nearest to 1? (a) -5 (b) t (c) -0.3 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 543\/685 + 1\/137. Let a = -11\/20 + t. Put 2\/7, 4, a in decreasing order.\nAnswer: 4, 2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 54404 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 6*c + 2. Let i be s(-6). Solve -3*m = i*d, -3*m + 3*d - 11 = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 346, 2, -1 in increasing order.\nAnswer: -1, 0, 2, 346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 - 110*d - 42. Give g(37).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004881 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*r + 6996 = 284*r + 210*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 301811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 123, -1\/3, -9\/2, -1\/2.\nAnswer: -9\/2, -1\/2, -1\/3, 3, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**3\/6 + 3*h. Let x(g) = -5*g**2 - 7*g - 7. Let u(j) = -2*j**2 - 3*j - 3. Let d(k) = 7*u(k) - 3*x(k). Determine l(d(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - p + 1. Let j(y) = 3*y**3 - 3*y**2 - 3*y + 3. Let t(n) = -39*n + 45*n - 66 - 83. Let x be t(25). Calculate x*j(b) - 3*s(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -g - 4*y, 3*y = -2*g - 0*y + 16. What is the least common multiple of 424\/36 + 2\/9 and 20\/g + 10 + -3?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -197\/26670 and -111\/32210.\nAnswer: 85904070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x. Let b(p) = -14*p + 10*p + 5*p. What is b(n(j))?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 3*q. Suppose -o - 5 = -0*o. Let v be s(o). Let n be 20\/v - (-86)\/110. Sort -3, 2\/3, n in increasing order.\nAnswer: -3, n, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22806.09962 rounded to the nearest 100?\nAnswer: -22800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 21 = 3*r. Let q(y) = 9*y - 3. Let v be q(r). Let c be (2\/6 + (-5)\/v)*0. Solve c = -a + 2*a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/28*(-1)\/(-2)*-7. Find the second derivative of 12*g + 4*g**2 + 14*g - 6*g + g**i wrt g.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557136739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2023022.\nAnswer: 2, 41, 24671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21891921 is divided by 175135?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 23358680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -37a05 (base 11) in base 16?\nAnswer: -d4b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28686495 divided by -5?\nAnswer: 5737299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000242 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhululpix. What is prob of sequence lp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -2053\nAnswer: 61.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*p + 7. Let d(s) = -s + 12. Let n be d(p). Solve -2*m - 10 = 3*v, n*v = 3*m - 6*m - 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1422 = -565*d + 2914 + 5853 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2260, 19, -103, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*x**5 - 582979*x**3 + 74522*x + 7 wrt x?\nAnswer: -120*x**3 - 3497874*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2402 + 23933\/10. Find the common denominator of (-1)\/(-8) + (-35114)\/(-14480) and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 8. What is the tens digit of a(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -1, 2, 139, -4.\nAnswer: -4, -2, -1, 2, 4, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/14? (a) 5 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4398139 is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19403*j**6 - 113*j**5 + 21*j**2 + 190*j + 27 wrt j?\nAnswer: 2328360*j**3 - 6780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 22 = 47 + 21. What is the highest common factor of q and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5 + 12*s**4 + 14*s**3 - 12*s**2 - 13*s = 0. Calculate s.\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1276 and 71182936.\nAnswer: 71182936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.1. Let u = -0.06 - -0.02. Let g = u + 2.04. What is the second biggest value in g, -0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.02 + 44.28. Round f to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -w - 6, -3 - 3 = -5*w - 2*k. Suppose -5*f + 0 + 650 = 4*i, w*i = 10. Let s = -4 + 18. What is the highest common divisor of f and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 1, -1 in decreasing order.\nAnswer: 3, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 19*b**2 + 22*b - 15. Calculate z(18).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1562 = 1699*j - 1688*j. Solve -j*s - 30 = -148*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -147.2, -10, 0.3, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 3*n + 35 = 0. Suppose c = 2*c - n. Let l = c - -85. Is l a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**3 - 15487398*i**2 + 29982305457984*i + 509703668653576 = 0.\nAnswer: -17, 3871858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.86 - 0.14. Let s = x - -5. Let h = s - -1.6. Which is the third biggest value? (a) -3 (b) h (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c. Let n(j) = -4*j - 7. Calculate w(n(x)).\nAnswer: 24*x + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6851340, -6851345, -6851350?\nAnswer: -6851355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 65078561 to the power of 1\/3, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 15*h**2 + 28*h + 8. Let o be m(-16). Let a = -172 - o. Solve 2*n - a = -5*f - 2, -5*f = n - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a. Let h(d) = 38*d**2 + 6*d. Let o(j) = 608*j**2 + 95*j. Let w(l) = -95*h(l) + 6*o(l). Give w(k(z)).\nAnswer: 38*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34054 - -4265?\nAnswer: 41352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -137572 and -2.9478741.\nAnswer: -137574.9478741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4333027g in nanograms?\nAnswer: 433302700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 0*s**6 - 1\/21*s**7 + 83\/6*s**3 + 89\/12*s**4 + 0*s**5 + 0*s**2 - 27*s - 2. What is the second derivative of h(t) wrt t?\nAnswer: -40*t**3 + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 4034\/34379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 0*j + 0 + 1\/20*j**5 + 0*j**3 + 3*j**2 + 1\/12*j**4. Determine k(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 5*k**2 + 9*k - 14. Let s be q(6). Find the second derivative of 17*z**4 + 21*z**3 - 43*z**s + 21*z**4 + 116*z wrt z.\nAnswer: -60*z**2 + 126*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156384 and 28068.\nAnswer: 365782176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 10*m + 26. Determine f(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553*d**2 - 2090*d**2 + 728*d**2 + 494*d**2.\nAnswer: -315*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2410 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 4. Let d = 1 + g. Let o = d + 2.8. Is 2 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/105 and -22\/175?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 8 + 10)*(3*v - 6*v + 4*v).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2063762607 to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19148354*c + 19148355*c + 13 - 23.\nAnswer: c - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.072389*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-9))\/(-30*50\/(-1000)).\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -1\/8*a**4 + 32*a**2 + 0 + 0*a - 1\/3*a**3. What is l(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, 3, -2\/11, 221, -5, -6, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 - 51*z - 3537. Give v(44).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4963*k**3 + 1755*k**3 - 10293*k**3 + (2 + 3 - 2*k**2 - 3)*(6*k - 4*k + k) in the form s*k**2 + j*k + c*k**3 + u and give c.\nAnswer: -3581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/10 - 10\/25. Let r be 13 + -10 - (-78 - b). What is the greatest common factor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10\/3)\/(((-77)\/21)\/(-11))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - 0.2. Let z = a - -2. Let y = z + -1. Do 0 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + -43?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2321616 (base 7) to base 5.\nAnswer: -33304141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 3) in base 15?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4018764ml to litres.\nAnswer: 0.0004018764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -24, 2, 80 in decreasing order.\nAnswer: 80, 2, -1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 - 81. Let u(d) = 12*d**3 + d**2 + 406. Let w(k) = 2*u(k) + 11*x(k). Differentiate w(g) with respect to g.\nAnswer: 6*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 3*n - 6. Let y be l(5). Suppose -y*f + 4 = -16. Suppose -9*s = -10 - 8. Solve -4*d = -s*b + 8 + 2, f = 3*b - 4*d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*s - 5877 - 4623 = -4*s - 44*s for s.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -947*p + 527 wrt p?\nAnswer: -947","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) 0.3 (c) 5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**5\/5 + 3*p**2\/2 - 6. Find the second derivative of x(a) wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -117*x + 89. Is j(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.109 (b) 0.5 (c) -3 (d) 30 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 360 = 2*y + 2*c, -3*y + 2*c = -524. What is the highest common divisor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2229 is divided by 96?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 7. Let d be p(-6). Let j = 2 - -1. Let k = j - 3. Which is the closest to k? (a) d (b) 3 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqnqiznzzznqnqznyq. What is prob of sequence yi?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 8*b**2 - 6*b - 3. Let l be c(7). Suppose 5*z + 4*v = -1, 4*v + l = 2*z - 18. Solve 4*f + z + 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b + 1931 = -149*b - 1831. Sort b, 5, 14 in decreasing order.\nAnswer: 14, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h + 0*h)*(2 - 2 - 2*h) + (-h - 3*h + h)*(-h + 3*h - h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293*r = 297*r - 96 - 472. What is the remainder when 646 is divided by r?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 303854 and 556.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139611328 by 139611328.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjoj when four letters picked without replacement from {f: 2, e: 3, o: 8, j: 7}.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9514*r**3*w**3*x + r**2*w**3*x - r**2*w**3 + 36*r*w - 2*r*x + 36*x wrt r.\nAnswer: 57084*w**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 9 - 6\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1300 - -3?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 22261?\nAnswer: 1246616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + a + 4. Let x(j) = -4*j**2 + j + 1. Let n(s) = 26*s**2 - 7*s - 11. Let y(p) = n(p) + 6*x(p). What is 3*u(l) + 2*y(l)?\nAnswer: -2*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at most -12.20626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.1. Let p be 2\/(-5) - (-5)\/(-25). What is the third biggest value in a, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -646\/1605 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 3, -8, -4, -6, 1 in descending order.\nAnswer: 44, 3, 1, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r - 6. Let s be c(-4). Let a = s - 12. Let f(t) = -12*t**3 - 181*t**2 + 1138*t + 17304. Calculate the remainder when f(-15) is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2110783*x + 557630*x + 6455039*x.\nAnswer: 9123452*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 230543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14445 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-24)\/4 + -4. Let j be (-8)\/(-26)*i\/(-20). Let p(q) = q**2 + 3*q - 3. Let z be p(-4). Are j and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2. Let a(l) = 3*l**5 + l**2. Let t = 3 + -3. Suppose 2*k = -t*k - 2. Let s(i) = k*a(i) + 6*g(i). What is the third derivative of s(o) wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8203 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-2\/7)\/z*z)**2 assuming z is positive.\nAnswer: z**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence miiz when four letters picked without replacement from zmii.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 471 = 3*w. Is w a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705341 to the power of 1\/2, to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -3, -7 in increasing order.\nAnswer: -7, -3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3\/5, -1\/5, 574, -5 in descending order.\nAnswer: 574, 0.3, -1\/5, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 12 = -3*z. Suppose 5*d + c - 75 = -0*c, z*d = 5*c + 60. Solve -5 + d = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4 = -2*g - 2, 2*s + 5*g + 4 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8365 + 8357. Put -10, 0, k in descending order.\nAnswer: 0, k, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 32*c**4 - 5*c**3 + 31*c**2 - 5. Let a(x) = x**3 + 57*x**2 + 1 - 57*x**2. Let u(i) = 5*a(i) + n(i). Find the third derivative of u(p) wrt p.\nAnswer: 768*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 2:21 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -10*m. Let b(n) = -9*n + 6. Let t(q) = 9*q - 7. Let f be (60\/25 - 3)*(-20)\/2. Let k(g) = f*t(g) + 7*b(g). Determine -6*d(o) + 7*k(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c**3 + c**2 + 6*c + 5. Let a(f) = -f**3 + f**2. Let l(d) = 5*d**3 - 5*d**2. Let h(v) = 4*a(v) + l(v). Let t(n) = -6*h(n) + w(n). Determine t(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 f, and 1 w when three letters picked without replacement from {w: 1, f: 1, s: 2, u: 1, b: 5}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a*a*a**(2\/11))\/a)\/a)**(3\/10)*(a*a**(1\/8))**(-22) assuming a is positive.\nAnswer: a**(-5301\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 97 + 63 = 0. Let t = r + -34. Does 7 divide 92\/3 + t\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, -59, -5, -4, 0, -18.\nAnswer: -134, -59, -18, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, i: 3, j: 7, m: 4, e: 2}. Give prob of sequence ii.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 209 + -206. Let o(i) be the third derivative of -13\/6*i**u + 0*i**4 - 19*i**2 + 7\/60*i**6 + 0*i**5 + 0*i + 0. Differentiate o(j) wrt j.\nAnswer: 42*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3234, -2913, -2592, -2271, -1950, -1629?\n\"Answer: 321*j - 3555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482 is divided by 42.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 8:09 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22689 (base 10) to base 13.\nAnswer: a434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*k + 11, 0 = -4*o - 0*o + 4. Calculate the greatest common factor of 12 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - -4 - (-112 + 106)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -70, -74, -82, -94, -110?\n\"Answer: -2*x**2 + 2*x - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 1. Let m(z) = -z**2 - 5*z + 6. Let b(v) = 3*d(v) + m(v). Let l be b(-8). Solve l*a - 10 = 5*r, -4*a - 6 = 3*r - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -1)\/2 - (-288)\/(-18). Let q = 18 + g. Suppose -3*t - q*m = -360, 6*m = -5*t + 3*m + 604. Calculate the remainder when t is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deteeetdt. What is prob of picking 2 t?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3641?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h**2 - h**2 - 3*h**2. Suppose 13*x - 10*x = 6. Let l(s) = -3*s**2 + 4*s**2 + 2*s**x - s**2. Determine p(l(r)).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1326 is divided by 34?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 10*r**2 - 8*r - 1. Let l be m(-6). Let q = -82 + l. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1877834 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, 13, 22, 33, 46, 61?\n\"Answer: t**2 + 4*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.35 from 7545349723.\nAnswer: 7545349723.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/5))**44\/(s**(2\/5)*s)**(3\/29))\/(((s**1*s)\/s)**(-47)*s**(-2\/19)\/((s*s**1\/s*s)\/s)) assuming s is positive.\nAnswer: s**(180619\/2755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -7*g + 21. Suppose -g*s - 6195 = -2*s. Is s\/(-2)*4\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 1420 in descending order.\nAnswer: 1420, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a decade in years?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 0.0002 (c) -1\/4 (d) -74 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7, -7, 3, 29, 77, 153, 263, 413?\n\"Answer: z**3 - z**2 - 4*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 5. Let q(x) = -x + 11. Is 3 a factor of q(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-63)*(-30)\/(-20). Which is bigger: s or -1007?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5112 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/15*(-3)\/36.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -6. Let c(f) = -f - 2. Let x be c(a). Suppose 0 = -5*l + g + 105, 4*g - 10 + 90 = x*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 201 + -121. What is the least common multiple of (-32)\/p - 432\/(-5) and 12?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 759979 - l - 380058 - 380109 in the form d + j*l and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**19*q\/(q**10*q))\/((q\/(q*q\/q**6))\/q**(1\/36)) assuming q is positive.\nAnswer: q**(145\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-12) - (-20 + 18). Let 8\/7*p**w - 8\/7 + 2\/7*p - 2\/7*p**3 = 0. What is p?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/11, -11, -3, 0.2, -71?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117236, -143, 5, 0 in increasing order.\nAnswer: -143, 0, 5, 117236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1289302, -1289325, -1289360, -1289413, -1289490?\nAnswer: -1289597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1755\/(-2))\/15*(-4)\/(-3). Let p be y\/(-80) + (-3)\/5. Suppose 0 = -2*l - 2*l + 20. Which is the closest to -0.1? (a) l (b) 3\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*i**2*v**3 - i**2*v**2 + i**2*v*w + 2*i**2*w + 3*i*v**3*w - i*v*w - 11*i*w - 8*v**3*w - 2*v wrt i?\nAnswer: 64*v**3 - 2*v**2 + 2*v*w + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j - 6. Let k(s) = 7*s - 11. Let v(h) = -11*b(h) + 6*k(h). Let z(c) = 0*c - 18*c - c - 5*c. Give z(v(y)).\nAnswer: 48*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 64*u - 236. Let x be v(38). Calculate the highest common divisor of 188 and x.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.6 - 3. Put q, 3, -4, 1 in ascending order.\nAnswer: -4, q, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2933800 to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/109 in 2\/11, 0.01, 4\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25b32b (base 14) in base 6?\nAnswer: -43455431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332437346 less than -0.1311364?\nAnswer: -332437346.1311364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -659308, -659327, -659372, -659455, -659588?\nAnswer: -659783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -81 less than -320884\/4013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 4*v + 2*w + 65, 20 = -4*w. Let a(x) = -57*x + 42. Let z(i) = 11*i - 8. Let h(g) = v*z(g) - 2*a(g). Determine h(6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + sqrt(13))*6.\nAnswer: 5 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10339355)\/(-803) + (-48)\/(-44) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 111 + 15*m - 70)*(-3*m + 0 + 0).\nAnswer: -45*m**2 + 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 11. Let g = f - -5. Let h be 1*-2 - (-18)\/8. What is the third smallest value in g, -5, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 + 25*o**2 - 11*o + 36. What is the remainder when 1768 is divided by u(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 653448 and 217816?\nAnswer: 653448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8) + 117\/156\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2*q - 8 - 4, -4*q - 6 = -z. Calculate the remainder when z is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 20 - 29 = 0. What is the third derivative of -b**2 - b**2 - 173*b**t + 173*b**3 + 27 - 2*b**4 - 7*b**6 wrt b?\nAnswer: -840*b**3 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 6*i**2 + 4. Suppose 0 = -5*v - 7 + 37. Let p be z(v). Suppose -p*j = -20, -l + j = -0*j - 4. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 320 + 16001642?\nAnswer: 16002162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d1c2a1 + 0?\nAnswer: -1d1c2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {g: 2, l: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 910 + -904. Suppose -8 = -n*k + 22. What is the highest common factor of 625 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1281143 and -57\/14092573.\nAnswer: 14092573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 2355 = 170*h. Let f(j) = -1. Let y(t) = -5*t**3 - 5. Determine h*f(s) + 3*y(s).\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -480*i + 254*i + 70*i**3 + 230*i in the form d*i + q*i**2 + l + f*i**3 and give f.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 9. Let o = 2.99941 - q. Round o to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (12 + -16 - 33) - -86\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 6. Let g be z(-2). What is the common denominator of -139\/6 and (-1)\/((-123)\/(-21) + (g - -2))?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4458 or -4193?\nAnswer: -4193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10, 52, 188, 478, 982, 1760, 2872, 4378?\n\"Answer: 10*z**3 - 13*z**2 + 11*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 1608261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 201 = 2125. Let y be (-1*(q\/4 + -3))\/2. Solve -y = 44*r - 39*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -37, 0.0575, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-15))\/(((-60)\/225)\/4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5*((-22716)\/(-315) + (-4)\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1295 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*s - 2*s + s)*(-3*s + 5*s + 0*s)*(-6*s**2 + 6 + 8*s**2 - 2).\nAnswer: 40*s**4 + 80*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 822.\nAnswer: 7398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 - 5*r**3 - r**3 + 4*r**3 + r**4 + 2*r**2 - 2*r**2 + (r**3 + 4*r**3 - 3*r**3)*(0*r + 0*r + r) - 38*r**4 - 6*r**4 - 51*r**4.\nAnswer: -90*r**4 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v**2 - 2*v**2 - 6*v**2)*(-324423 - 778*v + 324423).\nAnswer: 778*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*j - 6. Let a(h) = -h**2 - 4*h - 6. Let i(m) = m**2 + 4*m + 7. Let t(p) = j*i(p) + 4*a(p). What is the units digit of t(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13255 and 1053305.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243 divided by -81.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 7*m**2 + 8*m + 1. Suppose -3*p - 34 = -5*r, -p = r + 2*p - 14. Let h be n(r). Let y = 4 - h. Calculate the remainder when 4 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s - 4*s - s)*(-8 - 78 - 15) + (s - 5*s + 5*s)*(3 - 5 + 3)*(2 + 1 - 13) to i + t*s and give t.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in minutes?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -14*t - 3924. Let l = -162 - t. What is the highest common factor of l and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1951, 3331, 4711?\n\"Answer: 1380*i + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 54 (c) -5.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w + 50*w + 1608 = 0. Let l = -186 - w. Is 11 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-817 - 129*m + 817)*(2*m**2 - 3*m**2 + 3*m**2).\nAnswer: -258*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + z)*(-8 + 4*z**2 + 8).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-362969)\/(-7) - ((-10)\/(-7))\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 4. Let a(u) = -u - 2. Let i be a(-7). Suppose -2*x + 6 = -2*b + 6*b, -i*b = 3*x - 7. Solve -b*g = y*p - 15, g + 4*g - 6 = -2*p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 7077 = -3*z - 2*s, 0 = -z + 2*s + 2350. What is the greatest common factor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 120 = 6*j - 139, -4*j - 4*q - 24 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6454 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*2*(-9)\/36*-128 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -2*d**8\/7 - 17*d**4\/6 + 16*d**2 - 2. What is the second derivative of t(c) wrt c?\nAnswer: -1920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x. Let v = 125 + -82. Let c(z) = 83 - 40 + 20*z**2 - v. Give c(h(q)).\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 - 89 - (0 - (-2 - (-5 - 23)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 + -13250?\nAnswer: -13274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25694, 23968, 22242?\nAnswer: 20516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 26*y**2 + 442*y + 9. Let z(s) = 7*s. Determine z(w(f)).\nAnswer: 182*f**2 + 3094*f + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52883 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 31\/817860?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 5. Let y = 0.4 + -1.4. Let t = y - -0.6. Which is the third smallest value? (a) t (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 31*y + 72. Let j be c(11). Let w be 1 - 1 - (-2 - -33). Let n = j - w. Solve 2*s + 0*v = -n*v + 8, -2*s + 8 = 2*v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, x: 2, n: 7}. Give prob of sequence nxn.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + k**3 + 1)*(187787 + 2687*k - 187787).\nAnswer: 2687*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 6. Solve 2*b = -t*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*f**3*u**3 - 3*f**3*u**2 - 3*f**3*u - 8*f**3 - 5*f**2*u**6 wrt u.\nAnswer: 114*f**3 - 600*f**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 338*u + 4.\nAnswer: 338*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8\/7)\/t*t**(15\/4))**1 assuming t is positive.\nAnswer: t**(45\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/(-57))\/((-2304)\/(-885) - 3). Let f = r - 1\/513. Factor 2\/13*t**5 + 2\/13*t + 2\/13*t**4 - 4\/13*t**2 + 2\/13 - f*t**3.\nAnswer: 2*(t - 1)**2*(t + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.052 - -0.148. Sort l, 0.5, 3, -6.\nAnswer: -6, l, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 5*r**2 - 5*r + 2. Calculate g(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -121.1 from -3610.14.\nAnswer: -3489.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5341650 to the nearest integer?\nAnswer: 2311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + 1094a8?\nAnswer: 1094b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence waa when three letters picked without replacement from {a: 12, w: 1, i: 1}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - -7.42107969?\nAnswer: 46.42107969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 1\/12*g**4 + 0 + 0*g**5 + 0*g**6 - 1\/210*g**7 - 5*g**2 + 0*g + 0*g**3. What is the second derivative of k(x) wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**3 + 26*c**2 - 10*c + 11. Let f(i) = -3*i**3 + 17*i**2 - 7*i + 7. Let v(y) = -8*f(y) + 5*r(y). What are the prime factors of v(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5454688.\nAnswer: 2, 17, 37, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.043 (b) 9 (c) -0.1 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63332156?\nAnswer: 2, 23, 688393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/200?\nAnswer: 1\/200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 96 = 4*o. What is the smallest common multiple of 1 and (o\/(-9))\/((-4)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 38 = -2. Solve 12 + 3 = i*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*c**3 - 71*c**3 + 174*c**3.\nAnswer: 236*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*b - 1\/4*b**2 - 459\/4 = 0.\nAnswer: 1, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -10020022?\nAnswer: -10020022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264973?\nAnswer: 29, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1062 divided by 6.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*v**4 + 336*v**3 + 428*v**2 + 240*v + 50.\nAnswer: 2*(v + 1)**2*(7*v + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123571*t - 329238 = 129668*t for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18542438 and 356?\nAnswer: 37084876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c - 6*c + 5*c + 7*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15.4? (a) 0.0258 (b) -6\/29 (c) -1\/4 (d) 0.4 (e) -2\/3 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.51 (b) -3 (c) 1\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 539280 and 5332880.\nAnswer: 47995920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.5651*2204.51\nAnswer: 1245.768601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3 - 1306120*b**2 - 10448864*b - 20897664 = 0. What is b?\nAnswer: -653052, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32432 + 3322?\nAnswer: -24110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -43, -89, -141, -193, -239, -273, -289?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120 + -125. Let q(r) = r**3 + 4*r**2 - 6*r - 7. Give q(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 211 + -151. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 273.3.\nAnswer: 273.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11 or 19?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045 a factor of 402288493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/2 - 6231057*z\/2 - 6231063.\nAnswer: 3*(z - 2077021)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 48b + 3?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-3\/8)*f*(f\/(f*((f*f*f**(4\/19)*f*f)\/f)\/f*f))\/f*(f\/(f*f**4))\/f**0 assuming f is positive.\nAnswer: f**(-1001\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/(-15) - 2\/(-15). List the prime factors of (-33)\/(-3) + 0\/r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716965943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: -276.1 times 0.4\nAnswer: -110.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1004460850, 1004460848, 1004460846, 1004460844, 1004460842, 1004460840?\n\"Answer: -2*v + 1004460852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 = 19*a - 94. Let k(i) = -i**3 - i**2 + 83*i - 18. What is the hundreds digit of k(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -130, -301, -550, -883?\nAnswer: -1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2327*g - 3 + 3 + 1285*g + 1045*g. Let l(j) = 6*j + 5. Give v(l(k)).\nAnswer: 18*k + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -5 (b) 297 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1854805 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(66)\/(sqrt(11) + sqrt(22)\/sqrt(2)))*-1 + sqrt(136)\/((sqrt(16) + sqrt(32)\/sqrt(2))\/sqrt(2)) + 0)**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 332 - 330 + 997 - 16*v - 333. Let f(l) = 3*l**2 - 31*l + 4. What is 2*f(n) - 5*w(n)?\nAnswer: n**2 + 18*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -0.237, -7, -1\/7, -5, 0?\nAnswer: -0.237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3621094 kilometers in meters?\nAnswer: 362.1094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (378\/18)\/((-1365)\/(-2210))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 divided by 1574972.\nAnswer: -99\/787486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 3*k**2 - 2*k - 2. Let z(h) = -6*h**3 + 15*h**2 - 9*h - 10. What is 11*y(j) - 2*z(j)?\nAnswer: j**3 + 3*j**2 - 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 257708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34672193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a - 1. What is f(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*d - d + 131 = -783 - 1138 for d.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2\/3, 0.1, 4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 37?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.15823mg in grams?\nAnswer: 0.08815823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 2*d + 158. Let i = 86 + 148. Let l = i + d. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v + 32*v = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 516789, 515894, 514999, 514104, 513209?\n\"Answer: -895*w + 517684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**0*p**(2\/41)*(p*p**(2\/41)*p)\/p**(2\/7) assuming p is positive.\nAnswer: p**(520\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.528 + 1077941.\nAnswer: 1077940.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 2*m + 62, -52989*m = -5*o - 52992*m - 336 for o.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -89, -0.1, 4, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-46 + 40 + (1 - 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 6388*v**2 + 290674*v - 3330584.\nAnswer: 2*(v - 3148)*(v - 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13294 and 4370?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.351875 to 2 decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 7:18 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112278*o**3 - 56150*o**3 - 56131*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9622396*t**4 - 154*t + 26 wrt t.\nAnswer: 115468752*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2385181173.\nAnswer: 3, 67, 11866573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1486 + 616.\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 225 - 229. What are the prime factors of s\/38 + 15 + (-20720)\/(-95)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20389 + -62329\/3. Let l = t - -3556\/9. Calculate the common denominator of l and -11\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 + -2 + 35 + (389 - 422)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1224054, -2448093, -3672116, -4896117, -6120090?\n\"Answer: k**3 + 2*k**2 - 1224052*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1182246 divided by 659?\nAnswer: -1794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101010011101 (base 2) in base 4?\nAnswer: -2222131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4032540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 287 + -347. Is (205880\/w)\/(-2 + (-4)\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56760464 by -14190116.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2\/5 - 159744*u.\nAnswer: -4*u*(u + 199680)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 40 = -n, -3*n - v = -6*v - 120. What is the highest common factor of 760 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - -38*(2 + 1). Suppose 5*d + 4*t - 123 = 0, 3*d - 71 = -0*t - t. What is the highest common factor of h and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.13 (b) 438034 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -543, -516, -477, -420, -339, -228, -81?\n\"Answer: s**3 + 20*s - 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c - 2 = 0. Suppose 4*b + 4*f + 5 + 7 = 0, 5*f + 17 = -4*b. Sort c, b, 4 in descending order.\nAnswer: 4, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 2 + 6 + -2. Suppose f + 34 = -w*a + 48, 4*f + 5*a = 35. Let l = -6 - -9. Solve l = -f*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 18\/11, 0.5, -1\/6 in increasing order.\nAnswer: -3, -1\/6, 0.5, 18\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.47206+-113103\nAnswer: -113103.47206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 3*j + 1. Let l(n) = -4465*n**2 + 6*n - 4465. Let k(x) = -l(x) - 2*p(x). Find the first derivative of k(q) wrt q.\nAnswer: 8934*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 15823844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 601634594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21211627517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 37 = -54*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8634892 greater than -8634893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1116 (b) 0 (c) -0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -42301 + -38?\nAnswer: -42339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27961, 54103, 80251, 106405, 132565, 158731, 184903?\nAnswer: 211081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x + 333 = 225. Let n(j) = -6*j + 11. Calculate n(x).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d + j + 11 = 0, -d + 4*j - 13 = 0. Let z = -4962 - -4981. What is the remainder when (71 + 0 - -1) + d is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/529 + 35413\/3174. What is the common denominator of v and -7\/41?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -1b818150?\nAnswer: 1b818147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1078 + 1296. Let b = 147 + -276. Let z = s + b. What are the prime factors of z?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1349, -1426, -1555, -1736?\n\"Answer: -26*i**2 + i - 1324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 34 = -38. Let o = -196\/13 + -296\/39. Let c = o + 473\/21. What is the nearest to 1 in 0.2, c, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -89, -210, -379, -596, -861?\nAnswer: -1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 274194.2 decades to years.\nAnswer: 2741942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 311\/21 (b) -17\/2 (c) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 - 110 - 87*l - 51*l.\nAnswer: -138*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 2\/7 (c) 0.1 (d) 5\/8 (e) -38\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -684 = -5*j + u, 360 - 884 = -4*j - 5*u. Suppose 3*f - 102 = -3*c + 2*f, -j = -4*c - 4*f. Let k = 48 - c. What is k rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 4*m**2 + 5*m + 1. Let v be u(5). Suppose 8 = 3*t + w + 2, -5*w + 20 = 5*t. Let b = t - -3. Solve -v = -i + b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234\/(-26531) + 20005\/215?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -4947796.\nAnswer: 5\/4947796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/5 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*h**2 + 98*h**2 + 44*h**2.\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 972 = x - 584. What is the remainder when x is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*s - 95 = 0. Let m = -21 + s. Is m\/4 + 450\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 63*q - 1499 + 1189 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*y = 4*y - 564, 2*f + 4*y - 376 = 0. Suppose -o + 1 = 0, -l - f = 4*o - 37. Let g = 101 + l. Is g > -52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3772595ms in microseconds?\nAnswer: 377.2595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7786483 + -1?\nAnswer: 7786482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*n*t**6 - n*t**5 - 2*n*t**3 - n*t - n - 748*t**2 wrt t.\nAnswer: 1200*n*t**3 - 60*n*t**2 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {s: 5, u: 9}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + u**2 + 5*u + 5. Let b be o(0). Solve -b + 3 = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6655) + (2*sqrt(6655) - sqrt(6655)) - (sqrt(55) + (-5*(sqrt(110)\/sqrt(2) - sqrt(55)) - sqrt(55))))*5)\/(-2*-4*sqrt(55)\/(sqrt(11) - -2*sqrt(11))).\nAnswer: 165*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 56 = -0*z. Let m be 2\/((-8)\/z) + 3\/(-6). Solve 6*d - 26 = -4*f + m*d, 3*f + 2*d - 19 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 195, 357, 605, 951, 1407, 1985?\nAnswer: 2697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023113 to three decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.3 - 3.5. Sort -1\/3, p, -4 in increasing order.\nAnswer: -4, -1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5 - 65670*d**4 + 328316*d**3 - 525288*d**2 + 262640*d = 0. Calculate d.\nAnswer: 0, 1, 2, 32830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1835 * 0.005\nAnswer: 0.0009175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d - 1. Let t(n) = 45*n - 7. Calculate -t(z) + 6*w(z).\nAnswer: -57*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -0.1 (c) -45\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119 and (-2115)\/47*7\/(-5).\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**3 - 92388*n**2 - 831128*n + 923520 = 0.\nAnswer: -23088, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9 - 7*o + 14 - 21 - 5*o**2. Let m(z) = -4*z**2 - 7*z + 1. Let x(y) = 3*c(y) - 4*m(y). Give x(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + o - 15 = 0, 577*t - 3*o = 572*t - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194 = 146*o + 974 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54523, -461, 1\/3 in descending order.\nAnswer: 54523, 1\/3, -461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 b when four letters picked without replacement from {w: 2, j: 7, s: 3, b: 4, d: 1}.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 3. Let k be s(0). Let j be (-7)\/21*k*7. Let v(x) = x**2 + 2*x - 5. Is 30 a factor of v(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -959078, -959073, -959064, -959051?\nAnswer: -959034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30045761?\nAnswer: 509, 59029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 11*d**2 - 10*d + 2. What is i(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -143777*x - 9770*x**2 + 2812*x**2 + 143779*x as w + l*x + j*x**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5858 and -1032.2.\nAnswer: -6890.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1911) + sqrt(1911) + sqrt(3900)*3)\/(sqrt(9)\/sqrt(3)*2 - sqrt(96)\/sqrt(2)).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 118370779?\nAnswer: 118370794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, n: 2, m: 5, j: 2, y: 2}. Give prob of picking 2 w.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2299144742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -367\/78 + 72\/13. What is the common denominator of u and -28\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001191 to six dps.\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/s**2)*(s*s\/(s**(-7)*s))\/s*((s\/((s**(-8)*s)\/s))\/s)\/s*s**(2\/15) assuming s is positive.\nAnswer: s**(242\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-16)*8\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22364 (base 8) to base 9\nAnswer: -13871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -11. Suppose -4*l + 4*y = -0*l + 8, -3*y = 2*l - 6. Suppose 3*k - x*k + 158 = l. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-402)\/(-603))\/(2\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*z - 7. Let r be 17\/(-3) + z\/(-3). Let j(b) = b + 6. What is the units digit of j(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d = -30 - 30. Suppose -32 = -3*g - 38. What is the closest to 0.05 in g, d, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 82\/6 - 2\/(-6). Let i = 23 - g. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.05 - -0.05. Let o be (26 - 20)*(4\/(-24) + 0). Which is the closest to 0.4? (a) m (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Let w(a) = -a**2 - 2*a + 19. Let j be w(-6). Put j, -4, f in increasing order.\nAnswer: j, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from {n: 1, l: 1, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 0, -0.15, -1, -1\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 18*i**2. Let x(a) = -3159*a**2. Determine x(r(d)).\nAnswer: -1023516*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -201, -298, -395?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 535723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1075 from -1.4378.\nAnswer: -1.5453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 2079 + 2394 = 0. Let x = b + 1023. List the prime factors of x.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 - -218 - (99 + -8)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + s - 1. What is x(-8)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 792 and 653708.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*p - 1 - 1)*(-3 + p + 3).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*n = 340, g - 5*n = -3*g + 236. What is the highest common factor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + 4*m**3 - 3*m**3)*(-m + 2*m - 3*m)*(-30 - 40 - 13) - 5*m**4 + 2*m**4 + 4*m**4.\nAnswer: -165*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8665845*v. Let o(z) = 7*z**2. What is n(o(s))?\nAnswer: 60660915*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001169967 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 - 3 + 3 + (-1 + 5 - 2)*(-2*l**2 + 0*l**2 + 0*l**2) - 2*l**2 - l + l - 5*l**2 + l**2 + 2*l**2 + (l - 3*l + l)*(35*l - 110*l + 44*l).\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - (-1 + sqrt(243))**2)*2.\nAnswer: -488 + 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 866568457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.047 in 135, 6, 0.6, 3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/60114 and 109\/260028.\nAnswer: 11181204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.2 (c) -17.6 (d) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 22*b - 289 = -23*b, -281 = -5*t + b. What is the highest common divisor of t and 10773?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2 - 881158*x - 881156 = 0?\nAnswer: -440578, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2799.654 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-36)*1*-2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 10 - 4*p + 5*p)*(-p**3 - 4*p + 4*p).\nAnswer: -p**4 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-m + 2 - 2)*(-11 + 9 + 7) + (-2 - 4 + 0)*(-5*m + 7*m + 3*m))*(-9 + 2 - 9).\nAnswer: 560*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h - 7. Suppose 0 = 4*d + d + 15. Calculate the least common multiple of q(-5) and 18*(-2 - d) + 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*o**2 + 992*o - 400.\nAnswer: 4*(o + 50)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u = 68*u - 777 - 721 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*m**4 + m**2 + 4*m + m**2 + 6*m**4 - 7*m**4 to h*m + y + c*m**3 + d*m**2 + v*m**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -326 - -764. Suppose -444*l = -y*l - 24. Solve 0 = -5*m - 4*v + 21, m - 2*v - l = 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2005*j - 2736. Let c(r) = -998*r + 1368. Let k(t) = -28*c(t) - 12*x(t). Differentiate k(d) with respect to d.\nAnswer: 3884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(-d - 2*d**2 + d)*(-3 - 2 + 4*d + 7).\nAnswer: -8*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Let l = -7 + 17. Suppose -3*q = -6, -4*n + q + 0 = -l. Solve 4*x + w = n*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71973?\nAnswer: 3, 11, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 4*b**2 - 1. Let m be v(-4). Calculate the least common multiple of (-2)\/(-4)*(3 + m) and (-54)\/72*(-4)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -315432001 (base 6) to base 8\nAnswer: -25241041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 18 = -2. Find the common denominator of 3\/p + (-207)\/60 and 12\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-597)\/(-2) - 1*-1. Let g = o + -308. Calculate the common denominator of g and (5\/((-200)\/(-5)))\/(2\/110).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c6d - -5?\nAnswer: 1c73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -176, -358, -536, -710, -880?\n\"Answer: 2*w**2 - 188*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -2634.\nAnswer: 5268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**14)\/m**11)\/(m\/(m*(m\/(m\/(m\/(m*m*m**(9\/7))))*m)\/m*m)*m\/((m*m*m**(-2\/17)*m*m*m*m*m)\/m)*m) assuming m is positive.\nAnswer: m**(785\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 3*l, 5*c - 12 = -3*l - 39. Let s be (6 - -3) + c - 2. Let n(h) = h + 2. Let v(z) = z + 3. Let f(i) = 3*n(i) - 2*v(i). Calculate f(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 220*o**3 + 464*o**3 + 0*o**2 - 2*o + 23 - 245*o**3. Determine s(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483908 is divided by 69.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69040 is divided by 593.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 74 = -3*c, -c = -0*c - 2. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11682 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 6 = -2*s. Let m be s*(-2)\/12*-3. Do 3 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 - 77. Suppose t = -z + k*z - 4, 0 = t - z. Let w be -1*((-232)\/t + 5). Calculate the greatest common factor of 477 and w.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/9 (b) -4\/3 (c) -2265103 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 67, 64, 55, 40, 19, -8?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -1 + (-19 + (-5 - -9) - -4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 183 + -87. Is l a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*p = -3*j - 26, j = -2. Suppose 2*g = -l + p, 5*g + 16 = 4*l + 3*g. Calculate the remainder when 10 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -14.007\nAnswer: 126.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 10 - 28 = 0. What is the hundreds digit of 1845\/10 - 3\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -12*z - 526. Let v be g(-44). Let h be (0 + 2)\/((-2)\/(-13)). Suppose 4 = -y, -y - h - 15 = -v*b. Calculate the least common multiple of 2 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77280 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130619 divided by 5.\nAnswer: -130619\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 - 6 - -1 - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 8:08 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9*3)\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -271 - -267. Let l be 1\/b + (-35)\/(-28) + 5. Solve 0 = -24*c + 22*c + l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (280\/(-210) - 19)*(4 - 1).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -70492774\nAnswer: 3524638.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.014 - -0.02. Let i = z + 0. What is i rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7366.37 and 18?\nAnswer: -132594.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**5\/60 - 5*t**4\/24 + 3*t**3\/2 + 52*t**2. Let i be p(3). Put i, -1, -13 in increasing order.\nAnswer: -13, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 17*w - 19. Give j(-7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 0. Suppose -s = 3*i - 8. Suppose -z + 5*q = -3, -2*q + 3*q + 15 = i*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3179 and 17974?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**3 + 7*h**2 + h - 12. Determine m(3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 2285 = 2258 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, y: 1, r: 1, q: 1, p: 1}. Give prob of sequence qp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 46*w**3 - 2*w + 1. Let n be c(1). Suppose 5*s - 320 + n = 0. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n. Determine g(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.8 + 0.7. Let w = -13.62 - -0.82. Let z = w - q. Round z to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 46, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6891823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115 - 112. Suppose -i*g + 4*z + 105 = 0, 37 = g + 12*z - 14*z. Calculate the greatest common divisor of 837 and g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9882912839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 195*m**5 - 193*m?\nAnswer: 3900*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 31*o**3\/6 + o**2\/2 - o + 683. What is g(-3)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - (1 + -1)*-1. Let r = -3635 - -61755\/17. Let l = -109\/68 - r. Which is the closest to 1\/4? (a) -4 (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 1:26 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3*51.3\nAnswer: 153.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 38. Solve 4*d = -2*m, -v*m = -13*m - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 + 85 = -3*x. Calculate the common denominator of ((-5)\/(-30))\/((-9)\/114) and (-78)\/x + 1\/5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 4 - (24 + -30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 <= 0.26883?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -48, 0.4, 1, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 16. Let n be (44\/4)\/(3 + -2). Let j be q(n). Solve 2*b = j*b, -3*k + b - 3 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 899 and 341.\nAnswer: 9889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + 2*v)*(17356*v - 34700*v + 1184 + 17347*v + (5 - 2 - 5)*(-v - 2*v + v)).\nAnswer: 14*v**2 + 2368*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44487024 to the power of 1\/2, to the nearest integer?\nAnswer: 6670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9667 take away -0.03?\nAnswer: 9667.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 1399489*x**2\/2 - 4732*x + 8 = 0.\nAnswer: 4\/1183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, i: 2, l: 2, u: 5, j: 1, k: 5}. What is prob of sequence llk?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -3, 346, 0, -2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -v - 5*b, -4*v - 2*b = 2*b - 64. Let x = -16 + v. Let h(n) = n**2 + 5*n + 3. Calculate h(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2618.\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 25 = 12*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*g - 5*n, 3*g + 6 = 4*n - 7. Let a(z) = z**3 + 3*z**2 - z. Let s be a(g). Sort -0.3, -7, s in decreasing order.\nAnswer: s, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-3)\/h**(-1))\/((h*h**(-1\/15))\/h**(-1\/5)))**(1\/89))**32 assuming h is positive.\nAnswer: h**(-1504\/1335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 3\/7 (c) -0.04 (d) -0.16 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5812 divided by 4?\nAnswer: -1453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 2*i**2 + 7*i + 2. Determine f(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8133*l - 19 = -x - 8130*l, -26 = -4*x + 2*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12211122200 (base 3) to base 14.\nAnswer: 2dc54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*l. Suppose l = 3*f - 0*f - 3. Suppose f - 3 = -2*m. Let o(v) = 2*v + 1. Determine o(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) -5 (c) -0.03 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16.105733 and -0.05.\nAnswer: -16.155733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-3\/5))\/j)**40\/(j**1*j)**21)**(19\/3) assuming j is positive.\nAnswer: j**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 516011850 to the nearest integer?\nAnswer: 22716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - k**2 - k**3 + 10 - 23413*k + 12*k**4 + 23415*k as c + f*k**4 + x*k + l*k**2 + g*k**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {h: 6, b: 5, k: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(84) + sqrt(84)*-1 + sqrt(84)) - (sqrt(84)*1 - sqrt(84))*-3)*6)\/(-3*(2*sqrt(192)*3 - sqrt(192))).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*a = 27389998, 2*l = -3*a + 33631693 - 88411696. What is l rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209707 divided by 13\nAnswer: -209707\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 444?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 5*v - 5. Suppose -24 = -0*z - 4*z. Let g be h(z). Suppose -2*m + g + 1 = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 224 - 1005?\nAnswer: -671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.21023ng to kilograms.\nAnswer: 0.00000000001921023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/9)*h*h)\/h)**(-16)\/(h**(-5)\/h*h**(-3\/10)))\/((h**(-2\/19)*h*h\/(h**(-2\/7)*h))\/(h\/h**(-1\/3))**(-21)) assuming h is positive.\nAnswer: h**(-422839\/11970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.389212 to one decimal place.\nAnswer: -29.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {p: 5, s: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40399.9 - 8.\nAnswer: 40391.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -254, -392, -528?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33)\/12 - -2 - (-219)\/(-12). Suppose -2*y = y + 5*a - 104, 3*y - 124 = -a. Let c = s + y. What is the greatest common divisor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2878.5892 rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 40\/3. Let y = -2\/47 + 55\/188. Which is bigger: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -453*r**5 + r**4 - 1908*r**3 - r**2 - 3185308*r + 1.\nAnswer: -27180*r**2 + 24*r - 11448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -280? (a) 2\/7 (b) -49 (c) 3 (d) 2 (e) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 5*v**3 + 0*v**3)*(-13 - 11 + 86)*(-4 - 4 + 5).\nAnswer: -372*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0322 * -205.\nAnswer: 6.601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32787, -131140, -295059, -524544, -819595?\nAnswer: -1180212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57699, 59574, 61447, 63318, 65187, 67054?\nAnswer: 68919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 340918261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72177356?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -641*j**3 - 389*j**3 + 47*j**3.\nAnswer: -983*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*(-72)\/27?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-4\/5)))\/c*c**(-22) assuming c is positive.\nAnswer: c**(-119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 300508584 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 0.67306, -4, 4, -2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 10*v**2 + 204*v + 14. What is the smallest common multiple of 1904 and o(-28)?\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52431305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 21*m**5\/20 + 11*m**4 + 75*m**3\/2 + 27*m**2 - 2*m - 17. Let i(p) be the first derivative of r(p). Solve i(v) = 0.\nAnswer: -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - (1 - 2 - -2). Solve 3*r - 1 = b*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 22 = -2*m + 2*u, -3*m - 2*u = 7. Let r be (-588)\/(-96) - m\/8. Solve -4 = -2*y + r*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 2461134140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - a = -10, -2*x - 4 = -4*a + 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 w when four letters picked without replacement from {e: 5, w: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*d*g**2*y + 5*d*n*y**2 - 3*d*n - 2*g**2*n*y**2 + 2*g**2*n*y + 913*n*y wrt d?\nAnswer: 17*g**2*y + 5*n*y**2 - 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1135455 (base 7) to base 15.\nAnswer: -2c840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12341767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1643*q - 124*q = 1515*q - 3*p - 62, -3*q = -45*p - 615 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/5 + 132*p**3\/5 - 408*p**2\/5 + 412*p\/5 - 138\/5.\nAnswer: 2*(p - 1)**3*(p + 69)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -2111210122?\nAnswer: 2111210113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 14 - 44. Let m(a) = -a**3 + 6*a**2 + a - 2. Determine m(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -952 = 180*c - 486*c - 170*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -1094, -3697, -8766, -17123?\nAnswer: -29590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a. Let f = 13 + -6. Let r = 12 - f. Let z be l(r). Solve -4*d = 2*o - 12, -5*o - z*d + 10 = -0*d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**3 - 2*x + 3. Let w be k(1). Let h be -2 + w + 82 + -12 + -1. Is 196\/3 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -1\/32*l**6 + 1\/280*l**7 + 35*l**2 + 0*l**3 + 0 - 3\/32*l**4 + 7\/80*l**5 - 2*l. What is k in d(k) = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 5:00 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -11*x. Let m(f) = 2*f. Let a(u) = -5*m(u) - n(u). Let j(p) = -79*p + 148 + 144 - 292. What is a(j(q))?\nAnswer: -79*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 1)*90 - (-60)\/15. What is the greatest common divisor of p and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -3571, 16\/531 in ascending order.\nAnswer: -3571, -0.3, 16\/531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 7*o**2 + 10*o + 14. Let j be q(-8). Let a = 130 + j. Suppose -9*c + 209 + 385 = a. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -0.01 (b) 2\/7 (c) -2293 (d) -29\/2 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 3:47 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - 3*q + 3. Let m(b) = 10*b**3 - b**2 + 12*b + 238. Give -m(x) - 4*w(x).\nAnswer: -2*x**3 + x**2 - 250","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5249 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 99334 = -5*w + 336961, 4*w + 237654 = y. Let a = 415642 - y. Round a to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -5, 3641, 14, 43 in descending order.\nAnswer: 3641, 43, 14, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-2) + -2)*8. Does 20 divide (-363)\/(-12) - (-3)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66153461 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (90366\/4)\/(822\/548)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 318?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/13 (b) 20.08 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**5\/4 + 115*h**4\/3 - 445*h**3\/6 - 455*h**2 + 2*h - 24. Factor r(o).\nAnswer: -5*(o - 91)*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7877577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80915738 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from yyuywyyyyyaurwa?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 81959427139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 818 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001101110 + 10000?\nAnswer: 110001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23478\/(-8099)*1\/(-6) and 17\/9.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -94?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*j - 5*a, -a + 6*a + 30 = 0. Put 106, j, -2 in increasing order.\nAnswer: j, -2, 106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -699378 + 349689 + 349689 + 2860*m.\nAnswer: 2860*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2906 - -47726. What are the prime factors of h?\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**5\/5 - 1422*a**4\/5 - 18218*a**3\/5 - 48762*a**2\/5 + 68404*a\/5 = 0.\nAnswer: -698, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -840 divided by 65?\nAnswer: -168\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 370969*o - 290664?\nAnswer: 370969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 448*m + 2233. Give d(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*b = 61, 3*b - 94 - 71 = 5*z. Let n = z + 70. Suppose 3*i = 4*o - 5*o + n, -2*o - 32 = -4*i. Calculate the remainder when 28 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c**3 - 8*c**3 + 7*c**3)*(2*c**2 - c**2 + 0*c**2).\nAnswer: -9*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 11389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 10*l = -104, -5*l + 10 = -2*k + 80 - 159 for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 15 + -10 - 9\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 168235194 to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) 7 (c) -7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/11)\/(o\/o**(-5)*o))\/(o**0)**(-4\/5) assuming o is positive.\nAnswer: o**(-76\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1543 * -454\nAnswer: 700522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**5 + 3616*r**4 + 1551392*r**3 - 76540256*r**2 - 502247584*r - 685980800 = 0. Calculate r.\nAnswer: -926, -4, -2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 2*z**2 + 0 - 59\/525*z**7 - 2\/75*z**5 + 0*z**4 + 0*z - 1\/24*z**8 - 7\/75*z**6 + 0*z**3. Solve x(u) = 0.\nAnswer: -1, -2\/5, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 7*w + 560. Let z be v(0). Suppose -a + z = 3*f, -18*a + 13*a + 395 = 2*f. Calculate the remainder when f is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37803163?\nAnswer: 103, 367021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (5630 - 5637) + 0 + 37\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -177 (base 9) to base 13.\nAnswer: -b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 748 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h - 3*h)*(3 + 1 + 4)*(3 + 1 - 3).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -p - d, -42*d + 86 = 5*p - 38*d. Which is bigger: p or -415?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -2\/279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 - -3. Suppose -4*f = f + r + 2098, 4*r = -2*f - 832. Let i be 200\/f*-1*(-6)\/5. What is the closest to n in i, -4, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3339068?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5dd + -4d?\nAnswer: -64c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194 = -77*o + 2116 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 2*u**3\/3 - 40. Let b(q) = -34*q. Calculate m(b(o)).\nAnswer: 2312*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 273*a**2 - 84*a**2 - 98149 + 98145 in the form w*a + j*a**2 + u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 2. Let c be h(-5). Suppose -2*f + f - 4 = 0, -5*i + 3*f + 12 = 0. Suppose 3*g + 0*g + 3 = i. Put g, -5, c in decreasing order.\nAnswer: c, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 4*z - 13. Determine a(-7).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 12*z**2 - z - 11. Let b be p(-12). Let n(u) = 910*u**3 + 2*u**2 - 3*u + 2. Is n(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 2 + -96 + 78.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299206 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: Let q = -747 - -662.8. Let l = q + 89. Let p = -4.5 + l. What is the third biggest value in p, -0.4, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -47. Let i = -21 + x. Is 4\/9 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 - 30*m + 33. Is a(18) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1157 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -67, -13, 5, 3, 18 in descending order.\nAnswer: 18, 5, 4, 3, 1, -13, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/11 - 17040*g**2\/11 + 36295200*g\/11.\nAnswer: 2*g*(g - 4260)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694076.\nAnswer: 2, 17, 59, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 327*d - 24723. What is t(76)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 79394.\nAnswer: 39697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 52 (c) -53355\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7337, -7304, -7247, -7166, -7061, -6932?\n\"Answer: 12*b**2 - 3*b - 7346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*g - 1285 = -2038 - 1351 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*d*i*x**2 + 26*d*i*x + 38*i + 10*x**2 wrt d.\nAnswer: -3*i*x**2 + 26*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*h + 66, -2*y + y - 36 = 2*h. Let i = 24 + h. Sort -1, i, 1.\nAnswer: -1, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 12:02 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -11, -14, -17?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.5 - 107.5. Let w = -157 - c. Let m = w + 45.99999979. Round m to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/3 (b) -3 (c) 39581 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -6. Suppose -32*t = -29*t + 10*v - 89, 0 = -3*t + v + 1. Solve -t*q - 13 = 2*h, -2*q - 23 = -4*q + a*h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/31 - (-1836)\/372. Let g(a) be the second derivative of 0*a**2 - 3*a - 1\/32*a**4 + 3\/40*a**m + 0*a**3 + 0. Factor g(w).\nAnswer: 3*w**2*(4*w - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 2*h**2 + h**2)*(3*h**2 - h**2 - 3*h**2) + h**3 - 4*h**4 - h**3 + 9*h**3 + 6*h**4 - 6*h**3 - 4*h**3.\nAnswer: 4*h**4 - h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r - 6500*r**3 - 3481*r**3 - 2 - 4*r**2 - 5019*r**3. Let t be y(1). What is t rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187778991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = -1. Solve -4*w**4 + 0*w**2 - 4*w**3 + 5*w**2 + 5*w**4 - j*w = 0 for w.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -19*u. Let l(s) = s. Let w(a) = 3*l(a) + t(a). Let i(m) = -7*m - 3*m + 16*m + 0*m. What is i(w(k))?\nAnswer: -96*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5814?\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 540?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 equal to 81035804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3528213)\/(-13918)*4\/(-13)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1752, -3624, -5498, -7374?\n\"Answer: -v**2 - 1869*v + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**7 + 5*v**3 - 23. Find the third derivative of y(n) wrt n.\nAnswer: -840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(3) + 1)*2)**2 + (sqrt(75) - (2*sqrt(75) + sqrt(75))*1) + -2.\nAnswer: -18*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*(sqrt(17) - (sqrt(17) + -2)) - sqrt(17))**2.\nAnswer: -20*sqrt(17) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 6:10 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/206360 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 547*v**3 + 5*v**2 + 5*v - 15. Let k(o) = 15042*o**3 + 138*o**2 + 138*o - 414. Give -138*a(c) + 5*k(c).\nAnswer: -276*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q - 2. Suppose 55 = 3*f - 8*f. Let o(d) = d + 1. Let p = 20 + -26. Give f*o(v) + p*x(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -16. Let t = r - 10. Let q be 27\/6 + 2\/(-4). Solve 3*n - 5 = t*h + 16, -5*h - q*n = -5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**5\/40 + x**4\/12 - x**3\/3 - 3*x**2. Let f(h) be the first derivative of a(h). List the prime factors of f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 4. Let q = -1716.9 - -1717. Which is the nearest to q? (a) -0.3 (b) -1\/6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13884 = 317*k + 127*k - 48*k - 40*k for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 408603 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 1:21 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*a**3 + 2326812*a**2 + 3257568*a + 930736 = 0. What is a?\nAnswer: -1, -2\/5, 116342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeeeeebee. What is prob of picking 1 b and 1 e?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n**3 - 7*n - 2. Let j(p) = p**3 - p. Calculate -5*j(h) + o(h).\nAnswer: 3*h**3 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004513735531 rounded to five decimal places?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**2\/2 + 6*s + 2. Let r be (-8 - 1)*(-2)\/6. Suppose -f = -r*f + 10. Calculate b(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-611)\/(-26) - 10) + -13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llggllllgggglgglglgg. What is prob of sequence lllg?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + x + x - 58, f - 4*x = -6. Let c = 14 - f. Let h(v) = v**2 - 7*v - 14. Let l be h(9). Calculate the highest common factor of l and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w**2. Let j(r) = -20*r + 97. Let d be (0 + 5)*(3 + -3 - -1). Let n be j(d). Let f(p) = -p**2. What is n*f(k) - u(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8856354 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83*o + 19*o + 34*o)*(9 - 26 - 13)*(3*o**3 - 4*o**3 - o**3).\nAnswer: 8160*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -3)*(4 + 0). Let s = h + -4. Suppose s*r - r + 45 = 0. What is the greatest common divisor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/4 and 81\/43873142.\nAnswer: 87746284","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -8 (c) -3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 9) in base 11?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3. Let q(d) be the second derivative of d**5\/2 + d**2\/2 + 17*d. Let j(o) = -g(o) - q(o). Let z(k) = -4*k**3. Determine 2*j(u) - 5*z(u).\nAnswer: 2*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.52 + 124.52. Let m = 125 - z. What is the nearest to -0.2 in 3, 8, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10*b + 6 = 9*b, 14 = 3*v + b. Let k(c) = c**3 + 6*c**2 - 11*c + 10. Is k(v) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 564058707 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3. Let c be z(-1). Suppose 6 = -2*n - 0. Sort c, 1, n in ascending order.\nAnswer: n, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213013342 (base 5) in base 16?\nAnswer: -dd853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + v + 347 = 0, 4*v + 34 - 6 = 0. Calculate the greatest common divisor of g and 8942.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(75)*1 + sqrt(75) + 2 - (((0 + sqrt(75))**2 - sqrt(75)) + 5 + sqrt(75)*2*-6).\nAnswer: -78 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62776634 to the nearest integer?\nAnswer: 7923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(1\/10)*f*f)**(-22))**(-20\/3) assuming f is positive.\nAnswer: f**(1804\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7160263 less than 1111?\nAnswer: -7159152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3233*k + 8841 = -156042 for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36855, -73665, -110479, -147297, -184119?\nAnswer: -220945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/(-60) + (-10)\/6. Put 1\/4, s, 2 in ascending order.\nAnswer: s, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - t. Let l(r) = -2*r**4 - 46*r**3 - 5*r**2 - 5*r + 32. Let v(k) = 5*a(k) - l(k). Differentiate v(i) with respect to i.\nAnswer: 8*i**3 + 138*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = -20*a. Suppose -3*w - 991 = o - 9753, a = -4*o + 3*w + 35063. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3794733743 to 2 dps.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 12. Solve -3*z + 1 = -f*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 671.929 + 0.071. Let q = k - 676. Which is the biggest value? (a) -2\/19 (b) -15\/8 (c) 3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 182 in 11, -0.2, -0.5, 2\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 4358*q + 1214500.\nAnswer: -2*(q - 2429)*(q + 250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*j, -u = -5*j + 9*j + 70 - 49 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 632 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5829 + -5832. Sort m, 3\/5, 4, 0.05, 0.\nAnswer: m, 0, 0.05, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnn when three letters picked without replacement from nggngngggggggngpnn.\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 5*c - 5. Let d(u) = -u**2 + 3*u + 3. Calculate -5*d(n) - 3*k(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 109 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2337*z**2 - 2336*z**2 + 0*z - 12*z**3 + z - 7*z**3 + 12 to x*z**3 + b*z + j + k*z**2 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31375.\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29953524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86857033?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1966364*f**4 + 5*f**2 + f + 6296 wrt f.\nAnswer: 47192736*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-7345)\/130*(-3)\/((-111)\/(-2))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 68339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 751 = -5*t + 430, -3*r = -4*t + 943. Is 34 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4)\/s)\/s**5)\/(s**5*s*s*s\/(s\/(s**(-3)\/s))*s)*s**(2\/9)\/s**1*s**5*(s*s*s\/(s*s**(1\/6)))\/s*s*s assuming s is positive.\nAnswer: s**(-125\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4552559241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -735 + 763. Solve i*h - 8 = 20 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q - 16. Let x be (-67)\/(-1) - (-2 - (13 - 10)). Let r be -7*x\/(-63)*1. Determine z(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 - 3*u**2 + 0*u + u + 11*u**2 to the form d*u**2 + b + a*u and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 1. Let d be n(-6). Suppose 123 = -m + 138. Solve m = -2*x + d*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515*c + 30 = 517*c + 3*a, -c = -2*a + 20. Let b = 7 - 4. Solve c = -b*s + m + 2, 3*s + 1 = s + 3*m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 9:44 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 2, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**7\/350 + s**6\/120 - s**5\/300 - s**4\/24 - s**3\/15 + s**2 - 7*s. Let k(w) be the first derivative of i(w). Factor k(p).\nAnswer: (p - 1)*(p + 1)**2*(3*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 1 (c) -14.3 (d) 5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4665*y**2 - 552*y**2 + 3 + 1766*y**2 + 168*y**2 to the form c*y + n + t*y**2 and give t.\nAnswer: 6047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104051503 (base 6) to base 13.\nAnswer: 507771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 12*a - 28. Let r be i(-4). Suppose u - r = -y, 0 = -2*u - 5*y + 18 - 1. Let d(t) = -15*t - 1. Determine d(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 4*g + 5. Suppose 7*l + 3 - 38 = 0. Determine r(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u - 4*v = -18*u + 2, 3*v = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -133890, -267794, -401712, -535650, -669614, -803610?\n\"Answer: -i**3 - i**2 - 133894*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -1\/2 (c) 2 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from {n: 1, e: 2, f: 4, k: 3, w: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 - -55. Let u(a) = 2*a**2 - 15*a + 11. Let c be u(o). Suppose 0*v = n + c*v + 41, -n + 5*v = 14. Is -29 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000648 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -212, -129, 46, 361, 864, 1603?\n\"Answer: 8*q**3 - 2*q**2 + 33*q - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from hxexem?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2996, -2971, -2946?\nAnswer: -2921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60858 = 2*j - 6*j - 20870. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -17. What is the highest common factor of o and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -8249183\nAnswer: -2\/8249183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 821*f = 114*f + 4453 - 6511 + 31045 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/6 + 186\/(-4). Let x = v - -73. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) + -1*sqrt(96))\/sqrt(4))\/(sqrt(192)*-1 + sqrt(12))*-5 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-1\/9)*f**(-1\/7)*f**(2\/7)\/(f**(3\/4)*f) assuming f is positive.\nAnswer: f**(-181\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5 + 47*a**2 - 9.\nAnswer: 47*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -660*z**3 + z**2 - 2*z - 3. Let v = 351 + -352. What is the units digit of u(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1014, 1015, 1016, 1017?\n\"Answer: q + 1013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34304033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5 = -3*q, 3*c = -0*q + 3*q + 30. Is 1580\/c*2\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.49661316 times -0.3\nAnswer: -0.148983948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19\/(-4) + (-4)\/16. Let a be 4\/(-14) + (81\/21)\/3. Let w = r + a. Let k(n) = -2*n**2 - 6*n - 1. What is k(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 14*i + 1. What is the units digit of y(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-798)\/532)\/(((-1)\/2)\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.850096 microseconds in nanoseconds?\nAnswer: 1850.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 154679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/(sqrt(6)*-1*6) + 3)**2 + -4 + 4)*-3.\nAnswer: -163\/6 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 26*i**6\/15 - i**5\/10 - 11*i**4\/3 - 42*i. What is the third derivative of t(x) wrt x?\nAnswer: 1248*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 186*p - 39621. Calculate q(127).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 64*g + 256.\nAnswer: 4*(g + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*g + 139 = -2*b, -4*g = -20. Let s = b + 61. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/18242 and -61\/223650.\nAnswer: 291415950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.92 - 0.08. Let k = v - -4.4. Let q be ((279\/248)\/1)\/(1\/8). Which is the third smallest value? (a) k (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/488 and -36\/305.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4 = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32958911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 301 divided by 22.\nAnswer: 301\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 3\/4, -8\/317, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6517674817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 7 + 16. Suppose -f + 7 = -2*d, b*f + 2*d - 4*d = 9. Let j(c) = 133*c**2 - c + 1. Is j(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 - 67*p - 67. Calculate j(-32).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50184 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-1))\/(3\/33). Let p(d) = 12*d**2 + 90*d - 2. Let n(m) = 4*m. Let z(v) = x*n(v) - 4*p(v). Let u be z(-8). What is u rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 40*l**2 - 3*l**3 + 43*l**2 - 10*l**4 - 83*l**2 - 5*l**3 as w + p*l + q*l**4 + g*l**3 + b*l**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -64910010*d**2 + 94645*d - 94645. Let x(b) = 4115*b**2 - 6*b + 6. What is -94645*x(c) - 6*y(c)?\nAnswer: -4115*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/14104 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(sqrt(68)\/(sqrt(4)*1) + sqrt(34)\/(sqrt(6)\/sqrt(3)))**2*6.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 11:32 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 193 - 192.802. Let w = 1280 + -1276.772. Let q = l - w. What is q rounded to 1 decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*o - 5*v, -4*o + 7 = 2*v + 33. Let s(g) be the second derivative of -g**3\/6 - g**2 + g. What is the units digit of s(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 r when four letters picked without replacement from ffkfrkfffkfkffffkf.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454922660 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a tonne in kilograms?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f + 173 = -2*y, 2*f + 2*y = 72. Let a(d) = 37 - f + d - 5*d. Give a(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.73 - 2.27. Let v = 3\/34 - -53\/170. Sort 0.3, v, -0.11, o in increasing order.\nAnswer: o, -0.11, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150971.48 + -150888.47917. Let v = y + -83. What is v rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2. Let t(c) be the second derivative of 0 + 0*c**3 - 65*c + 5\/6*c**4 + 0*c**2. What is i(t(m))?\nAnswer: -100*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32053375 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -s - s. Let h(i) = i**2 + 2*i + 3. Calculate the remainder when h(s) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-3\/4))\/v**(2\/19) assuming v is positive.\nAnswer: v**(11\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/(o\/o**14))**(-3\/4) assuming o is positive.\nAnswer: o**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12738251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 1, s: 2, v: 1, u: 1, z: 1}. Give prob of sequence zu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*h = 81*h - 268. Let t = 6 + -10. Which is the closest to 2\/7? (a) h (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from nunnzynyny?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p - 356 + 1051 - 340 + 29*p - 355.\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 9:22 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 18*h + 41. Give r(-10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -6. Suppose -3*z = 2*i - 44, -g*z + 8 + 66 = 4*i. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -577 (c) 26 (d) -5.4 (e) 5 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -133956\/5 - 1\/5*w**2 - 732\/5*w = 0.\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 + 5)\/((-1)\/(-2)). Let l(q) = q**3 + 11*q**2 + 28*q + 31. Let g be l(i). Let f(u) = u**2. Let o(t) = t**2 - t**2 - t**2 - 2. What is g*o(p) + f(p)?\nAnswer: 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3409 - 0.1?\nAnswer: -3409.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -193\/210 and -107\/26050?\nAnswer: 547050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15552 (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2192914.\nAnswer: 2, 43, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 4*f - 29036, -2*f - 49113 + 10415 = 4*m. Let o = -40672 - m. Round o to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 + -361 + (-4662)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o + 9. Let y(u) be the first derivative of 13*u**2\/2 + 26*u - 3007. Give 7*f(k) - 2*y(k).\nAnswer: 2*k + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5)*2\/2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6272652 or 6272730?\nAnswer: 6272652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61790405?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*(sqrt(3) - sqrt(12)\/sqrt(4))**2 - (0 + sqrt(3) + 2)).\nAnswer: 6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8625*d + 3*d**2 - 7*d**2 - 17247*d + 8622*d.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**3 + f**2 - f - 1. Let c be n(-1). What is the third derivative of -c*i**2 - 4*i**4 + i**5 + 3*i**5 + 4*i**4 wrt i?\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4762*t - 22978 = 67500 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 229\/5*x + 1\/5*x**2.\nAnswer: x*(x - 229)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 = 111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.131 * 27.4852.\nAnswer: 3.6005612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-350)\/(-15))\/7)\/((-4)\/6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/3 + 289264*z\/3 - 5229603856\/3.\nAnswer: -4*(z - 36158)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29742.31 millilitres to litres.\nAnswer: 29.74231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**4\/3 - 5*k**3\/6 + k**2\/2 - 12*k. What are the prime factors of p(-4)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 2, m: 1, u: 1, t: 1, e: 2}. What is prob of sequence kt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6.6 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/19))**(-2\/63) assuming s is positive.\nAnswer: s**(-4\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 2:58 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 10 = 4*a. Let r(m) = m + 3. Let z be r(0). What are the prime factors of (a\/z)\/((-2)\/(-9))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -25337, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3691 divided by 1\nAnswer: 3691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -t + 3. Let a be 34581\/(-8645) + 3 + t. Let b = a - -212669\/17290. What is the common denominator of 75\/8 and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -1 - 9, -3*j + z = -11. Let s be (-6)\/55*5\/(-2). Let l = s - 23\/44. Which is the biggest value? (a) j (b) 2\/15 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 8*w + 10*w + 629 + w**4 - 629 + w**3 + 5*w**2.\nAnswer: w*(w + 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53428789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*g - 4*z + 10 + 52, -g - 126 - 127 = -15*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1163\/9 - 129. Let s = 2.9 + 8.1. Let j = s + -8. What is the third biggest value in r, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 1 (b) -2\/7 (c) 0.3 (d) -525\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3680 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 264995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 38 = x + 27, -x + 2*y = -53. Solve -31*w = -132 + x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 26412288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3 - 180*r**2 + 1932*r + 2116 = 0. What is r?\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asassssasaasssassss. What is prob of picking 3 a?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 1, v: 1, u: 1, m: 1}. What is prob of sequence xu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 4:24 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 2*p - 36 + 9 + 0*p - 4*p + 2*p**2 to y*p + a + s*p**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by -5.\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 3*h + 2*h. Let k = -13 + h. Is (-2)\/k - 65\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 30, 14.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/27, 0.2, 0.5, 5, 0.1, -6\/7, 324?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81859 and 436.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - 0.7. Let y be (-174)\/20*(-2)\/21. Let d = -3\/7 + y. Which is the closest to 2\/3? (a) f (b) d (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**2 + 2*a + 1. Let n(k) = 2 + k**2 - 1 - 2. Suppose -3*t + 2*h - 4 = t, 4*t = -2*h + 12. Calculate t*u(l) + 2*n(l).\nAnswer: -l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 318 + -15. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-18) + (-9)\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykuos. What is prob of sequence ksu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2571.5 + 2571. Let u = 1.95 - -0.05. Sort -0.13, 1\/9, u, p in descending order.\nAnswer: u, 1\/9, -0.13, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.5862767 rounded to three dps?\nAnswer: -63.586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - s**2 + s - 34. Determine p(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v - 10 = -25*v. Let g(n) = -6*n**3 + 9*n**2 + 4*n + 1. Let l(u) = 5*u**3 - 8*u**2 - 4*u. Let d(j) = v*l(j) + 4*g(j). What is d(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -0.4, -110, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z - 28724. Let y(d) = -1654*d. Give y(q(f)).\nAnswer: -3308*f + 47509496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -2. Suppose -3 + 0 = -3*l - 2*n, 3*l + 9 = 2*n. Is 2 - (l - q) - -71 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*j**2\/5 - 22574*j\/5 - 1188\/5.\nAnswer: -2*(j + 594)*(19*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**3 + q**3 - 5*q**3)*(-1 + 0 + 4 + 2 + 1 - 2 + (0 - 1 + 2)*(1 - 1 + 1) - 3 + 0 + 2) as h*q + x*q**2 + s + w*q**3 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/((648\/(-6))\/6) - (-25)\/(-9). Let k(d) = -2 + 6 - d + d**2 + 6*d. Determine k(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/78)\/((-5)\/20)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*m + 227*m - 73*m - 75*m as r*m + z and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 11*p**2 + p - 322. What is k(0)?\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3033*m = -3025*m - 280. What is the highest common factor of m and 3829?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c**2 + 2*c - 2. Give m(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5326580 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 36. Let b(g) = g**3 - 16*g**2 + 16*g + 1. Let c be b(n). Let j be 6\/2 - 54\/c. What is the third smallest value in j, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 k, and 2 i when four letters picked without replacement from bkikkibiiki.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3952072 less than -3952071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11152317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -61, -2, -1, 2 in decreasing order.\nAnswer: 2, -1, -2, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38, 34, 20, -10, -62, -142, -256, -410?\n\"Answer: -s**3 + s**2 + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322772 is divided by 154?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c. Let h be (-1 - c)*(-7 - -7). Let s = h + 3. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 196850 - 52045. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 1082*m - 1077*m, 6*h - 3*m = 69 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14591.82 * -2\nAnswer: 29183.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/5, 6, 0.1, -1\/2 in ascending order.\nAnswer: -1\/2, -2\/5, 0.1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbzgbzbgb. What is prob of picking 4 b?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4) + (-2)\/(-4). Let t = -123 + 125. Let d be (-36)\/24 + 7\/t. Solve b = 5*r + d - 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, l: 2, g: 5, n: 1, h: 1, a: 4}. Give prob of picking 1 h and 2 g.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + 15*h + 10. Let c be b(8). Let v(n) = -4 + 59*n - 58*n - 1 - c. Calculate v(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v - 2. Let u be (1 + -3)*(-9)\/6. Let x = -1 - u. Is 5 a factor of g(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(2 - 0) - 2. What is the common denominator of 83\/8 and n + (2486\/12)\/(-11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3083886 divided by -5382?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 584 - 584)*(0 + 2 + 0)*(3 + 0 - 1).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 685443895256 + -685443832421.9660054. Let s = 62834 - k. Let j = s + 0.034. Round j to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -13, -2\/9, -222?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97861943?\nAnswer: 47, 59, 35291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -916*a**2*l - 2087*a*l**2 + a*l + 6502195*l**2 + 7 wrt a.\nAnswer: -1832*a*l - 2087*l**2 + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-10))\/((-3)\/(-1)). Let z = 296 + -295.7. Suppose -5*l - 2*r + 7*r + 115 = 0, 5 = r. Which is the biggest value? (a) z (b) l (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11350 and 0.016.\nAnswer: 11350.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*t + 16, 5*z + 5 = t + 54. Solve -z = 5*l + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*j + 7 = 0. What is the units digit of j + 3 - 138\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (3 - 6 - -12 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7 or -59620.72?\nAnswer: -59620.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 111*s + 108*s + 16 = 0, -57 = -x - 14*s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 42, 30, 8, -30, -90?\n\"Answer: -o**3 + o**2 - 8*o + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 1, n: 1}. What is prob of picking 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 8*y. Let u be s(2). What is the highest common divisor of u and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, 41, 84, 143, 218?\n\"Answer: 8*a**2 + 3*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 544?\nAnswer: 53856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + -1 + (-14220042)\/6. Round s to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 7. Let c be s(5). Let z be 17*c*2\/(-4). Let y = -11 - z. Let t(p) = 5*p**3 + 6*p**2 - 4. Let u(d) = -d**3 - d**2 + 1. Calculate y*u(l) + t(l).\nAnswer: -l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -722*x**2 + x**3 - 742*x**2 - 2 + 1467*x**2 - 16*x**4 in the form w*x + v + r*x**3 + a*x**2 + g*x**4 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-13) - 48\/(-26). Calculate the common denominator of 201\/(-12) + g - 0 and 91\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1221695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2528, 19990, 67366, 159608, 311668, 538498?\nAnswer: 855050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -29. Let v = -6 + d. Suppose -2*t = v, -2*z + 6 = -4*t - 40. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 646498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23838 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3)**(-38))**(5\/4)\/((r*r*r**(1\/4)\/r)**(-10)*(r**1\/r)**(-7)) assuming r is positive.\nAnswer: r**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 125 + 140*w + 2*w - 144. Is u(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432 is divided by 73.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -894 - -1973. Suppose 6*x + 209 - y = 0. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**4 - 1912960*a**3 = 0 for a.\nAnswer: 0, 382592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -247 + 246.9773. Round c to three decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -29. Calculate the common denominator of (o\/168)\/((-2)\/8) and -103\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -2357*l**8\/336 - 497*l**4\/8 - 3149*l**2. What is the second derivative of a(h) wrt h?\nAnswer: -47140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 8*v**4 - 4*v**3 - 3. Let q(t) = 16*t**4 - 9*t**3 - 5. Let l(o) = -9*i(o) + 4*q(o). What is the first derivative of l(c) wrt c?\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, j: 2, a: 3, k: 5}. What is prob of picking 1 h and 2 a?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71407731 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 8*d - 3. Let k be m(0). Sort 3, -2, k in descending order.\nAnswer: 3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -67, 36, -1, -73 in increasing order.\nAnswer: -73, -67, -3, -1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 112 in 3, -2, -0.8, 1.7, -12\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 3*w**2 + 4*w - 6. Let h be 3 + -2 - -4 - 0. Suppose 0 = 4*y - h*s + 4, 3*y + s + 3*s - 28 = 0. Determine t(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 - 53. Calculate the greatest common factor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 284 = -4*z - 4*p, -z - p - 72 = 0. Suppose 3*l + b - 14 = 0, 1 = 3*l - b - 9. Calculate the remainder when 1\/(268\/z + 4) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*f - 8, 2*f = 31*g - 30*g. Factor 44\/7*c + 24\/7*c**f + 4\/7*c**3 + 24\/7.\nAnswer: 4*(c + 1)*(c + 2)*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 33*w**3 + 19*w**2 + 6*w - 7. What is the thousands digit of r(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657764613?\nAnswer: 3, 11, 6644087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 - -93. Solve -o = -r, 3*r - 1 = i + 5*r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2875426349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*d = n - 20, -4*d + 36 = 4*n. Let p = -11 + n. Which is the closest to 0? (a) 5 (b) 1\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-1*4 - (11 + -81)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/32432 and -97\/89188.\nAnswer: 356752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1184 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 9*m**5\/20 - 3*m**4\/2 - 20*m + 9. Let d(g) be the first derivative of p(g). Find the third derivative of d(i) wrt i.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 at most -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 15*m = -20. Differentiate -69*w**m - 6*w**2 + 5*w**2 + 31 wrt w.\nAnswer: -140*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -29 - 31. Let k be (v\/(-8))\/(3\/(-400)). What is k rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - 1783166086.\nAnswer: -1783166059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 13*s - 7. Let u be x(-12). Solve 3*c + 2*c + 45 = -u*f, 2*f - 3*c = 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 4, 1\/5, 1094, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(3200) + (5 + sqrt(2) + -3 - sqrt(2) - sqrt(2)) + sqrt(2))*6 - (5 + -1*(sqrt(2) + 3) + (sqrt(2) - sqrt(18))*-5))**2.\nAnswer: 4740*sqrt(2) + 112438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-418)\/99 - 4\/(-18). Let x be y\/7*1\/(6\/(-21)). Solve 2*i = -0*i + x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.12337 milligrams in nanograms?\nAnswer: 28123370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2170 and 8990?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r + 0*r**2 - r**2 + 5*r**3 - 5*r. Let p be f(1). Suppose -3*j + 6*j + 15 = 0. Sort p, 13, j.\nAnswer: j, p, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2013938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-5)\/m)\/(m\/m**1))\/(m**(-1\/4)*m*m*m\/m**5))\/((m**(-1\/4)*m)**(-9\/5)\/(m\/m**0)**39) assuming m is positive.\nAnswer: m**(183\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -3 (c) 3 (d) -167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 387 + 3)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**3 + 122231 - 15*f**2 - 9*f**3 - 122231 + 15*f**2.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-1 - (2 - 1)). Let g = l + -1. Suppose -5*k + 10 = 5*d, 2*k + 7 = 4*d - g. Solve -4*n = -20, d*c - c + 2*n - 10 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 780799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2198539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 128 = 48. Does 11 divide ((-7)\/21 - 2\/3)*m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - ((-42)\/(-28) + 59\/2). Let u = z - -31. Suppose o + 157 = 4*o + u*f, o + 5*f = 35. Does 24 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -5 (b) -3 (c) 0.5 (d) -0.053\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 206?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11654388*s**4 + 24*s**2 - 225207 wrt s.\nAnswer: -279705312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31\/38 + -1609\/342. What is the common denominator of b and ((-12)\/112)\/((-16)\/70)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsjqq. What is prob of picking 2 q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/18 and (4\/670)\/(60\/3975).\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, m: 1, w: 6, i: 6}. What is prob of sequence ww?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25927114 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -199 - -199. Let w(d) = 4*d + 361. Let c be w(l). Calculate the greatest common divisor of 19 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3) + 2 + 3*(sqrt(11) + (sqrt(22)\/sqrt(2) - sqrt(11))**2).\nAnswer: 2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -441*t**4 + 2921*t**3 + 35623739*t**2 wrt t?\nAnswer: -10584*t + 17526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 3 + 13)*(-9 - 15 + 53)*(-12*i + i + 4 + 0*i - 5*i) as q*i + w and give w.\nAnswer: 1972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 2:17 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 7\/3*t**3 - 1\/3*t**2 - 4\/3 - 8\/3*t + 1\/3*t**5 + 5\/3*t**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 10 + 32 + (0 - -8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 10*y - 3*y. Suppose -5*j = 3*d - 636 - 208, -2*d + 561 = y*j. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 59*r**2 + 9*r + 8. Suppose -33 = 23*y - 10. What is the remainder when p(y) is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222144 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:37 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 36 = 18*k. Solve 2*n + 0*t + 2 = -k*t, n - 6 = 2*t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 6*j**2 + 0*j**2 + (-2348*j**2 + 4725*j**2 - 5 - 2358*j**2)*(-1 + 1 + 2) as r*j**2 + l*j + q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.641 and 91372.\nAnswer: 91370.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 85 = 3*v - 43, 2*v + 383 = -25*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39975?\nAnswer: 3, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25950, -25948, -25918, -25836, -25678, -25420, -25038, -24508?\nAnswer: -23806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**5 + 10*h**4 - 135*h**3 + 260*h**2 - 140*h.\nAnswer: 5*h*(h - 2)**2*(h - 1)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y - 1. Let s be g(-3). Is -5 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((-35)\/(-210)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 217?\nAnswer: -2\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 11 = -5*i, -5*i - 633 = -4*o - 627 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/40893 and -193\/817860.\nAnswer: 817860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**0)**23\/(k\/(k\/k**(1\/12))*k\/k**(-9)))**(5\/9) assuming k is positive.\nAnswer: k**(2155\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24292112.\nAnswer: 2, 13, 116789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*u**2 - 35*u**4 + 0*u**2 - 4*u + 3*u - 12*u**2 - 3 as k*u**2 + w*u**4 + v*u**3 + l + a*u and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71\/8040 or 0?\nAnswer: -71\/8040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqp when three letters picked without replacement from {w: 4, q: 1, x: 5, o: 5, p: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2 + 0 + 17 - 11. Let z(w) = w + 1. Give -r(l) + 2*z(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*f - 4*f - 3*f + 12*f**2 + 3*f wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 0 + 2 - 2*d - 1. Let r = 28 - 3. Suppose -2*w + 22 = 5*h, 5*h - r = -4*w - 1. Determine a(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**7\/630 + p**6\/180 + p**5\/60 - p**4\/18 - 2*p**3\/9 + p**2\/2 - 3. Let n(o) be the second derivative of m(o). Solve n(s) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -119, -129, -159, -215, -303, -429, -599?\nAnswer: -819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.9 - -8.9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 17*d + 10. Let m be 9\/((-27)\/d) - (-42)\/(-45). Solve 2\/5*p**5 + 0*p + 2\/5*p**4 + 0 - 2\/5*p**3 - m*p**2 = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 + 4 = 0. Suppose 0 = y*c - 3*m + 6, 20 = -c + 5*c + 3*m. Solve 2*z + c*o + 11 = o, 0 = z + 2*o + 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 - -2*(-47)\/10 and 13\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -42362024?\nAnswer: 42362030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4 - 7*a + 18*a - 4*a + 2*a. Let t be v(-2). Let x be t*(260\/(-8))\/5. Calculate the greatest common factor of 22 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1250 and 81610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 11*i - 41, -6*i + 11*i - 5 = 0 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -26.2. Let m = 0.05978 + -26.14978. Let j = u - m. Sort -5, -0.2, j in decreasing order.\nAnswer: j, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-282)\/94*(-1)\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36130141*h**5 + 3*h**2 + 18*h + 7067 wrt h.\nAnswer: -2167808460*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -65. Suppose -24 - 36 = -k*f. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -167, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*a + 10, -3*n - a + 20 = -8*n. Let x = 0.04 - 1.44. Let z = 0.4 + x. Is n greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (0 - ((20 - 5) + -4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 5*v**2 - 4*v - 11. Let g be w(-5). Suppose 0 = 4*j - 3*b - 340, -5*j - 11*b + 448 = -g*b. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 58*m**3 + m - 11. Let y(j) = -2*j**2. Give y(o(l)).\nAnswer: -242208*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 j when three letters picked without replacement from jujuuaddudj?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5955 - 6426. Which is the second smallest value? (a) -2\/7 (b) r (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.4 + -1.96. Let w = 0.34 - t. Which is greater: w or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 o when three letters picked without replacement from oleullulloul.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78860 - -78859.9968409. What is r rounded to 5 decimal places?\nAnswer: -0.00316","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -4. Let k = -7 - s. Suppose 3*o = -f - o + 4, 10 = -k*f - o. Let n(m) = -m**3 - 3*m**2 + m - 4. Give n(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 898 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/3 or -9.6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q = -45*q - 280 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000359488538 to six dps.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**5 + 336*g**4 + 6492*g**3 + 46192*g**2 + 138816*g + 149760 = 0. What is g?\nAnswer: -60, -13, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1708 = -3908*o + 3847*o for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16821075, 33642139, 50463203?\n\"Answer: 16821064*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/40*(-10)\/12. Suppose -3*s - 16 = -0*h - 2*h, 4*h + 3*s + 4 = 0. Let g = 123\/2 + -60. Which is the second smallest value? (a) h (b) g (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v - 2158 = -33*v - 150*v for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-2)\/155) - (110\/(-20) - -7). What is the greatest common divisor of j and 1102?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-9))\/(12\/(-18))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) -0.6 (c) -0.1 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {o: 1, x: 1, p: 1, v: 1, c: 2, s: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 16 + 4*p + 79\/30*p**6 + 0*p**3 - p**2 - 115\/12*p**4 + 1\/20*p**5. What is the third derivative of c(r) wrt r?\nAnswer: 1896*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68 * 275149\nAnswer: -18710132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -847, -1053, -1399, -1885?\n\"Answer: -70*k**2 + 4*k - 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7309739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3 + 2*h + 0 - 4. Let p be d(3). Suppose -3*u = -o - 7, -o + p + 0 = 0. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/19 (b) -122 (c) -2\/67 (d) 1 (e) -0.4 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -101*h - 29. What is the remainder when 642 is divided by g(-1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - h - 15. Suppose -2*x - 5*l = -9, -h*x + 51 = -l + 4*l. Suppose 3*b = -x - 78. What is the common denominator of b and -18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -s + 1 - 8, -5*s = -4*y + 23. Calculate the lowest common multiple of y and 31.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 673, 1075, 1479, 1885, 2293?\n\"Answer: t**2 + 399*t + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 5*v - 7. Let h be q(-6). Let s = 5 - h. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-22759939\nAnswer: -4551987.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904 is divided by 132?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h = 56*h - 63. Solve -2*v - v = 3*y + 3, -h*v = -5*y + 19 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1158310 - -1764927. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.8338323 to 2 dps.\nAnswer: -91.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b**3 - 54*b + 10 + 43*b + 9*b**2 + 5*b**3. What is the units digit of i(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -343 - -337. Let f(g) = -4*g**3 + g**2 - 9*g - 52. What is the tens digit of f(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 247. Let h = s + -162. Suppose 0 = -3*q + 10 + h. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 7*b - 10. Let k be i(3). Suppose k*r + 3*r - 22 = -4*d, 2*d - 12 = -3*r. Solve -d*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 29. Calculate the common denominator of (-548)\/256*-4 - (l + 6) and 31\/44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33, 62, 87, 108, 125, 138?\n\"Answer: -2*x**2 + 35*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164765670.\nAnswer: 2, 3, 5, 5492189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p - 2*p - 2*p)*(-28 - 21 + 12)*(1 + 1 + 1) - 1 + 1 - p - 2*p - 1 + 1 + (2*p + 4 - 4)*(0 - 1 + 0) + 2*p - 6*p + 3*p.\nAnswer: -339*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 891.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 265 - 253. What are the prime factors of (1432\/5)\/((-62)\/(-5) - q)?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52\/113 - 32119\/678. Which is smaller: -47 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2006 - 967 - 905)*(0 + 0 + 2*c) + 2 + 3*c - 2 + 3 - 3 - c + (4 - 4 - 2*c)*(4 + 0 - 5) + (3 + 2 - 6)*(2*c - c + 0*c) to n*c + a and give n.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/(-7826))\/((48\/60)\/((-84)\/(-30)))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v = 0. Suppose v = -2*z + j - 4*j - 12, -j = 3*z + 4. Suppose 0 = -2*t - t + 4*q + 89, 5*q + 10 = z. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50\/1011209 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 6335.9\nAnswer: -6339.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 102*w + 3. Let k be z(4). Suppose -p + 1186 = 5*l - 911, -k = -l + 4*p. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230751*y = -230744*y + 21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1857*k**2*m**2*z**2 - 670*k**2*m**2*z - 2*k**2*m*z**2 + 5*k*m*z + 2*m**2*z wrt z?\nAnswer: 3714*k**2*m**2 - 4*k**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 324.5799909 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 797182 - -51873\nAnswer: 849055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42\/1271 - -4180\/49569. Which is the second biggest value? (a) 1\/5 (b) i (c) 1\/38 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303828 = -5357*o - 16345*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (8 - -42)\/1 - -10 and 50?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(33\/(1485\/(-420))).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573109?\nAnswer: 573109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2876949 or 2876953?\nAnswer: 2876953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2*h**2 - 4 + (3*h - 3*h - 2*h)*(-2 - h + 2) + (32*h - 3*h - 9*h)*(2*h - 4 + 4) to the form u*h + f*h**2 + l and give f.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f**2 + 2 - 37*f**2 + 191*f**2.\nAnswer: 174*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*v - 22. Suppose -3*w - 2*k = 3 - v, 14 = 3*w + k. Is (-3)\/(-2)*214\/w a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, 7\/61, 2, 23413?\nAnswer: 23413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/96 + (-4)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 390\/910*(-3)\/18 + (-1359)\/(-1386).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 351, 661, 933, 1149, 1291, 1341, 1281?\nAnswer: 1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 0*q + 0 - 2*q**2 + 0*q**4 - 13\/6*q**3 + 13\/20*q**5. Differentiate k(t) with respect to t.\nAnswer: 78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3214 + -1024013?\nAnswer: -1020244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - c + 13)*(-1 + 130*c + 147*c - 329*c - 15*c**3 + 2*c**2) - 5*c**4 + 3*c**4 + 0*c**4.\nAnswer: 13*c**4 - 2*c**3 + 52*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 5*m - 6. Let z = -36 + 44. Let r be (0 + 5)*(z + -7). Determine p(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 11. Let x be f(7). Solve 0 = 5*o - 20, q - 2*o + x = -0*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 290608 - 0.3.\nAnswer: 290607.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 729, 534, 23, -960, -2571, -4966, -8301, -12732?\nAnswer: -18415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190169 is divided by 23770.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19b7 - -1939?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*x + 41*x - 2*v + 7*v - 27 = 0, 60*x - 3*v + 135 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*a + 38*a + 221496. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 12. Calculate the remainder when 57 is divided by h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - 1. Let w = b - -33\/2. What is the common denominator of 95\/2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146920 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 121723586761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**3 + 6. Suppose -22 + 34 = 3*c. Let l(i) = -5*i**3 - 5. What is c*l(v) + 3*b(v)?\nAnswer: -2*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 150?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*y + 534 - 867 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-8 + 2)*(0 + -5). What is the nearest to 0 in -0.4, h, 15, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 8. Let y be 8400004 - (0 + (-20)\/m). Round y to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 32*r - 371. Calculate the remainder when w(10) is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1773*z**6 - 378*z**5 - 2*z**3 - 10925*z**2 - 3881*z + 2 wrt z?\nAnswer: 212760*z**3 - 22680*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50736 and 9744?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 5*n + 3*n)*(1 - 2 - 2) - 7*n - n + n + 0 - 2 + 6 + 2*n to f*n + z and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.345 - -2.345. Which is smaller: i or 2.75?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338040000 = -156*f + 150*f. What is f rounded to the nearest 1000000?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, t: 2, b: 2, w: 2, g: 1, c: 1}. What is prob of sequence btm?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 47, 1, -6 in ascending order.\nAnswer: -13, -6, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**3 - 2*p. Let a(d) = -d**3 - d. Let q = 13 - 9. Suppose -59*g + 62*g + 8 = -f, 0 = -4*f + 2*g - 4. Give f*k(b) + q*a(b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -14*s**2 + 56*s. Let u(o) = -2*o**2 - 11. Determine k(u(x)).\nAnswer: -56*x**4 - 728*x**2 - 2310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2\/3 + 6252*r - 187960\/3.\nAnswer: 4*(r - 10)*(r + 4699)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 144 = 28*p - 32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5187.\nAnswer: 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50402 is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 798342263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 21*s**3 - 38*s**3 + 8*s - 9*s**2 + 18*s**3 + 3. Calculate y(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4982234, 4982231, 4982230, 4982231, 4982234?\n\"Answer: j**2 - 6*j + 4982239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005151043577 to 6 dps.\nAnswer: 0.000515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (13\/(65\/(-30)) - (-84)\/9). Suppose -2*f + 4*d - 12 = 16, -4*d - 12 = 0. Which is the smallest value? (a) u (b) f (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.079394327 from 0.07.\nAnswer: 0.149394327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6114*j = -3*o + 6116*j - 5, -4*j + 18 = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1349864 and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -429562 + 0.01.\nAnswer: -429561.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9949170 - -91.\nAnswer: 9949261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442\/1949513 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167186232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-890)\/(-160) + -4)*(19 - 23)?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-three quarters of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*u**3*w - 572874*u**3 - 53*w + 414 wrt u?\nAnswer: -6*u**2*w - 1718622*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 10:19 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/5*w**2 + 0 - 2*w - 1\/5*w**3.\nAnswer: -w*(w + 1)*(w + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.302 + -2.302. What is the second biggest value in -0.4, z, -65?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/27664033 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/360 and -163\/566190.\nAnswer: 2264760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -891490 divided by 5.\nAnswer: -178298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -307*f + 625*f - 316*f. Let g(q) = 3*q + 1. Determine -5*g(n) + 6*w(n).\nAnswer: -3*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10802 + 237687\/22. Find the common denominator of h and 6\/(-5)*(-6)\/48.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s - 2061. Let l = -333 - s. Suppose -6*r + 3*r + l = 0. Is r a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5287820 is divided by 178.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*d - 98 = 0, -4 = 3*d + 2. Calculate the remainder when l is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -20 - 8 - (1 + 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 3. Let s(m) be the second derivative of m**5\/10 - 2*m**2 + 11*m. Give -3*s(a) - 4*u(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12266 + -12203.41. Let t = -0.41 - w. Let n = t + 56. Which is the third biggest value? (a) 3\/5 (b) 5\/6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9430.2 months in centuries?\nAnswer: 7.8585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/4604886 and -97\/2930382?\nAnswer: 32234202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10490778211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5529 and 2037?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4558938? (a) 5 (b) -3 (c) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1777?\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2975*h**2 + 599884449 - 599884449)*(-2 + 2 + 2*h**2) to the form d*h**2 + m*h + c*h**3 + t + q*h**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -301, -1228, -2765, -4906, -7645, -10976?\nAnswer: -14893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 176 and -0.2.\nAnswer: -35.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -22805 equal to -22805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25725 is divided by 525.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 11209683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d = 21*d + 86. What is the remainder when 102 is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k*v*z**2 + 340*k*v - 6*k*z**3 + 43*k*z - 2*k - v*z**3 wrt v.\nAnswer: k*z**2 + 340*k - z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + m - 22, -2*m - 16 = 16*p - 14*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + 2698 = 51*r. What is the greatest common divisor of r and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**2\/8 + 10087*g\/8 - 5043\/4 = 0.\nAnswer: 1, 10086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 216341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/39 (b) -5040 (c) 2 (d) 3 (e) 5\/2 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 973641 (base 12) to base 2.\nAnswer: 1001000111101011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/4*(49\/(-7))\/21.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -94 (base 12) to base 7\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-10))\/((-1)\/5). Let k be (1 + 87\/6)*l. Let y = -14 + k. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (0\/2 - 3) - -13. Let q be (u\/9 - -1) + -2. What is the second biggest value in q, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 538562531?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1158*c - 241*c + 1154*c in the form b + p*c and give p.\nAnswer: 2071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 10. Let q = -27 + -14. Let i = q + 51. What is the least common multiple of i and l?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -4\/7, 5, 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67606620 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 185\/24 + -15\/2. Let x = 7\/264 - a. Let u = 2 - 3. What is the third biggest value in x, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 28 = 4*f, -710*x + 706*x - 4 = 2*f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 33 - 27 = 0. What is the third derivative of -2*p**4 - 32*p + 36*p + 6*p**z + 4*p**2 + 0*p**4 wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 5:33 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2065 less than -9\/3227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmg when three letters picked without replacement from gotpmope?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -43.55*-0.089\nAnswer: 3.87595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 9:19 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g + 0*g**3 - 5*g**2 - 1 - 5*g - 6*g**3. Let n(l) = 3*l**3 + 3*l**2 - l + 1. Let y(m) = 734*m - 4399. Let w be y(6). What is w*n(o) + 3*d(o)?\nAnswer: -3*o**3 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, i: 5, l: 1, g: 1, m: 1}. What is prob of sequence iii?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2670 = -157*l - 193*l - 95*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119 + 207. Let a be 9\/12*2*z. Suppose -60 = -10*u + 5*u. Calculate the highest common divisor of a and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -1.948.\nAnswer: 0.1948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = w + 52 + 75, 3*q = 5*w + 108. Suppose 27*z = q*z - 116. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 7 = 5*m. Let d = 82841 - 82791. Sort -2, d, m, 3 in descending order.\nAnswer: d, 3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 1 + 8*c - 2*c**2 + 3 + 5*c**3 - 3*c**3 as y*c**3 + o + u*c + q*c**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8758 - -9262. Calculate the greatest common divisor of 2376 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -264\/5. Which is the nearest to u? (a) -1\/2 (b) -5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -0.15 (c) 0 (d) -0.4 (e) -0.16 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122201212211 (base 3) to base 4.\nAnswer: 1111032301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500720 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/8)\/1)\/((-7)\/2)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + y - 11, 5*r - 5*y - 6 = -1. Does 42 divide (-3)\/48*r + 1348\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12020 - 10?\nAnswer: -12100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.1, -2\/33, 1\/9, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 177*k + 12339. Let s(h) = -2*h. Determine s(g(y)).\nAnswer: -4*y**2 + 354*y - 24678","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 a factor of 6478631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**8\/840 + l**7\/280 - 5*l**4\/6 - 6*l. Let v(i) be the third derivative of f(i). Find the third derivative of v(w) wrt w.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -1.77, 6, -2.6?\nAnswer: -1.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13703*d - 28175?\nAnswer: -13703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 + -123. Suppose 2*s = 5*s, u = -3*s. Solve 2\/5*f**d + 4\/5*f**3 + 2\/5*f**4 + 0 + u*f = 0 for f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(3)*1)\/(1*sqrt(48)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-2809*s**2 - 36*s**3 + 2809*s**2).\nAnswer: -72*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (317 + 8*p - 317)*((-p**3 + p**3 + 2*p**3)*(-2*p + 5*p - 2*p) + p**4 - 3*p**4 + p**4)*(140 + 15 + 9).\nAnswer: 1312*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - (sqrt(18) + sqrt(36)\/sqrt(2)))\/sqrt(6) + (sqrt(3) - (-3 + sqrt(27))) - (sqrt(192)*-2 - sqrt(3)*1*4))**2 + 4.\nAnswer: 102*sqrt(3) + 880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m - 2 = 0. Let a(v) = -42*v + 15. Let c(d) = -6*d + 2. Let j(u) = m*a(u) + 15*c(u). Let i(s) = 2*s**2. What is i(j(h))?\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slilixiiixicii. What is prob of sequence ixx?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 104*h**3 - 106*h**3 + 5 + 4*h**4 in the form w*h**3 + z*h**4 + r + x*h + c*h**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aspsaasjaapppajaxans. Give prob of picking 1 s and 1 x.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 - 3 - (-4)\/(-2). Let f(u) = -5*u - 7. Let n(i) = -6*i - 6. Let b(m) = v*n(m) - 3*f(m). Is 24 a factor of b(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -872226239, -872226234, -872226227, -872226218, -872226207?\n\"Answer: v**2 + 2*v - 872226242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (6 - 2) + (-33)\/(-3). Suppose -3 = -2*x + 5*x, 4*j = 3*x + f. Sort -4, j, 2, 4.\nAnswer: -4, 2, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42822?\nAnswer: 2, 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*2)**2 + -2 - (1 + sqrt(2))*2.\nAnswer: -2*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/2376 and 37\/264?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**6\/120 - x**3\/6 + x**2 + x. Let w(n) be the first derivative of q(n). Differentiate w(z) with respect to z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3 = 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 60.44884t?\nAnswer: 60448840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1277*x - 1175*x - 1020 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/5 - 343*u\/5 - 7656\/5.\nAnswer: -(u + 24)*(u + 319)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1350 and 329850.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7758410 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(-2775*v**2 + 5390*v**2 - 2 - 2642*v**2 - 48*v).\nAnswer: -54*v**2 - 96*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - -4 - (-11)\/(-6). Let v = -17.9 - -18. Which is the third biggest value? (a) x (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -155160852*w**3 + 170661830*w**2 wrt w?\nAnswer: -930965112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 57, 21, -29?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4137654 to the nearest integer?\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130\/78*2\/10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379140296 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**2 + 2. Let n(w) = -22*w**2 - 9. Let v(a) = -2*n(a) - 9*z(a). Let j(k) = 4*k**2 - 5*k**2 - 2*k**2. What is j(v(u))?\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**3 - 78*x**2 + 52*x - 115. Is l(-41) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231214057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-146))\/((-759)\/(-1012))*-3*(-2)\/(-12)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1218, -2\/3, 2\/5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f + 11955543. Let j(l) = l. Calculate j(i(x)).\nAnswer: 2*x + 11955543","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2719, -4394, -6061, -7714, -9347, -10954, -12529?\n\"Answer: c**3 - 2*c**2 - 1676*c - 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 262*f**3 - 621113*f**2 + 7*f - 19971862 wrt f?\nAnswer: 1572*f - 1242226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + m. Let d be n(-3). Find the third derivative of -3*x**d - 3*x**3 + 0*x**2 - x**2 + 3*x**3 wrt x.\nAnswer: -360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 + -41. Let y be 3*((-2 + 4)\/2)\/1. Suppose -27 = -3*f + y*t, -f = -0*t + 3*t - 29. Calculate the remainder when i is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 243, 878, 2109, 4134, 7151, 11358, 16953?\nAnswer: 24134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u = 42*u - 108. Suppose -5*p + 40 = 5*l, u = 5*p - 7. Solve -k = 3*g - 1, -l*k + 0 + 3 = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 14. Let s = -21 - -35. Suppose 4*g = -4*u + s + 18, 5*u = 10. Calculate the highest common divisor of a and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -39. Suppose q = z - 65. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 144 in 3\/2, -5\/2, 3, 4.6?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 519 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76289765 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (33\/6)\/(2\/4). Let o(q) = 18*q - 3. Let i = -4 + 6. Let m be o(i). What is the greatest common divisor of m and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 261, 622, 981, 1338, 1693?\n\"Answer: -u**2 + 364*u - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n**(-1\/2)\/n*n*n)*n)\/n**(1\/6))\/(n**(-2\/3)*n*n\/((n*n**(-1))\/n)) assuming n is positive.\nAnswer: n**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -4, -0.4, -1\/4, -2\/231?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 2*u + 1. Does 26 divide z(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/4*(-28)\/21. Let c be 2*14 + -7 + 5. Let z = c + -16. Calculate the highest common factor of z and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 30. What is n(7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a century in years?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.036 + -17.436. Let z = m - -17.1. What is the second smallest value in z, -0.2, -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2475 = -5*d. Is (2\/5)\/((-15)\/d) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 21 = -2*m, -6*x - 252 = -4*m + 3*m - 267 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.24 + -0.56. Let f = o - -7. Which is smaller: f or 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 13. Let s be w(-11). Let m(z) = z + 2*z**2 - z**2 + z + 0*z**s + 1. Determine m(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -2*j - 36, -2*s + 31 = 3*s - 2*j. Solve -2*v - 14 = 4*r, -4*r = s*v + 8 + 15 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2865 (b) -1 (c) -1\/6 (d) 4 (e) -1\/2 (f) 56\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16230663?\nAnswer: 3, 23, 89, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, c: 1, z: 1, o: 2, w: 1, q: 1}. What is prob of sequence omo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -71 (b) 0.4 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 556412 rounded to the nearest one thousand?\nAnswer: 556000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + a + 0*a)*(0 + 0 - 4)*(-a + 0*a + 0*a) + 2*a**2 + 2*a**2 - 2*a**2.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 8*n + 7. Let x be g(7). Let b(q) = -11*q - 1. Let r be b(-3). Let t = -259\/8 + r. Is x not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/451959 and -47\/3.\nAnswer: 451959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 2*c. Suppose -4*o = -x + 2*x - 21, -19 = -4*x - 3*o. Let r = -3 + x. Let l be p(r). Solve -k + 0*k - 1 = l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 0.1 (b) -1\/4 (c) 6 (d) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5709367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13999106411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2627901 by -279.\nAnswer: 9419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 725530529 to the power of 1\/3, to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 314*c - 48972. What is the highest common factor of c and 19712?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25470 and 5660?\nAnswer: 50940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*l + 6 = -4, 4*q - 5*l = 20. Suppose k**5 - 3*k**q + 3*k**5 - k**4 + 2*k**2 - k**2 - k**3 = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebebbbfebbbqbfbq. What is prob of picking 1 b and 3 e?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 34101*i**2 + 34059*i**2 - 1.\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1198, -1208, -1232, -1276, -1346, -1448, -1588?\nAnswer: -1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0 - 4. Suppose 19 = -5*u + i. Let m(w) = -5*w**2 - 8*w + 5. Let l(v) = 9*v**2 + 15*v - 9. Let q(k) = -4*l(k) - 7*m(k). What is q(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-8)*12)\/(153\/(-24)).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at most as big as -191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*s**2 + 268*s**2 + 9 - 46*s**3 - 9.\nAnswer: -46*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (96\/120)\/(4\/(-10)). Let g be 5250\/(-2*q\/(-4800)). Round g to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (-1 + -6*sqrt(2)*-2 + sqrt(22)\/(sqrt(22)\/sqrt(2)) + 1)**2).\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*j = -425*j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.68 - 2.99. Let u = i + 0.21. Which is the second smallest value? (a) u (b) -3\/5 (c) -1\/9 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + 3*d)*(-2*d - 3*d + 4*d) - 7*d**2 + d**2 - 8*d**2 + (-1 + 1 + d)*(-2 - d + 2).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 10*n**2. Let h be a(1). Let u(b) = -4*b + 6. Let z be u(0). Let r = h - z. What is the highest common factor of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2. Let k be -3 + 1 - (-17 - -7). Suppose -k = n - 5*n. Let w(b) = 2*b + 2*b + 4*b - n*b. Give a(w(i)).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 13 = 3*k, 11*z - 17 = 8*z + 5*k. Let y(o) be the third derivative of 0*o**z + 1\/30*o**5 + 0*o + 0 + 8*o**2 - 1\/3*o**3. Let y(q) = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 equal to 235134\/779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 25880280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (-40)\/(-560)*-322.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 15. What is the units digit of z(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 minus -36461112.95?\nAnswer: 36461225.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmupiiu. Give prob of sequence mii.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1158\/(-772)*(-32)\/(-6) - 28\/2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 11. Suppose i*v - v = 0. Suppose q + 4*n + 0*n = -6, 5*n = -4*q - 2. Solve -4*r + 4 = -v*r, -q*k - 2*r = 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16519463 + 463?\nAnswer: -16519000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -835 plus 1703.70530768?\nAnswer: 868.70530768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4242350 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1214 and 64586014?\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19151 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.11 - -0.99. Let l = 10.1 - n. Is 1\/4 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*g - 36*g + 165. What is the third derivative of -51*k**2 + 25*k**2 + 52*k**2 - g*k**3 wrt k?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 35*z**3\/6 - z. Let j(i) = -105*i + 58*i + 49*i. Give b(j(u)).\nAnswer: 70*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -1. Let r(k) = -k**4 + 3*k**3 - 2*k. Let v(o) = 2*o**3 - 3*o. Let y(i) = x*r(i) + 3*v(i). What is the second derivative of y(q) wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + k**3 - 2*k**3 + 4*k**3 - 14*k**3 + (k**2 - 3*k**2 + 4*k**2)*(-3 + 3 + 2*k) + k**2 + k**3 - k**2.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11485 - 8347 = 1130*p - 5676 + 22004 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 243112980847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175 (base 10) to base 7.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/3)*g*g**(-1\/14))\/(g\/(g\/g**(-2)))**(-5\/9) assuming g is positive.\nAnswer: g**(19\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*t + 3*f, 2*t - 3*f = 4*t + 17. Let d be -1 + 0 + 10 + t. Suppose 4*v - 7868 = -4*a, d*v = 3*a + 6332 - 2403. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 785 = 14*a + 743 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(130\/5))\/(79\/79)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -5.1733.\nAnswer: -10.1733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 5*a**2 + 3*a + 6. Let u be h(6). Let o = -7 - u. Solve 4 = o*g + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*o - 13535 + 13301 = 34564. Is o greater than or equal to 253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00115722 rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 - 6 = 0. Solve -r + z*r = 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/37696 and -52\/6541.\nAnswer: 7953856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/8)*k*(k\/k**34*k)\/k*(k*k**(3\/11))\/(k**(-2\/59)*k) assuming k is positive.\nAnswer: k**(-163903\/5192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 22 = 4*t, -5*j = -3*t - t + 43. Let q = 10 - 14. Sort q, -5, j in descending order.\nAnswer: q, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + p**2 - 3*p**2 - p**2 + 2*p - 2*p + (-5 + 5 + 2)*(-2*p**2 - 3*p + 3*p) + 2 + 11*p**2 + 48*p - 2*p**2 - 47*p)*(-p**3 - 2*p**3 + 6*p**3).\nAnswer: 6*p**5 + 3*p**4 + 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(10) + sqrt(10)*-3)*-3.\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*b + 12 - 13 + 23 + 11 + (2*b + 2*b - 3*b)*(-3 + 1 + 3) in the form p*b + c and give c.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -275193.87 to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8846.1983 rounded to the nearest 10?\nAnswer: -8850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 2*v - 4*v. Let r be f(-4). What is the remainder when 43 is divided by (4\/(-6))\/(r\/90)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53739168 a multiple of 3032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*t = -8*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -7. What is the units digit of 2*((-5)\/c + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 70 = -35. Let n = q + 56. Calculate the remainder when 16 is divided by 183\/n - (-4)\/14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*d - 0*x - 108, -2*d + 2*x + 72 = 0. Suppose -2*s + d = -s. Suppose z - s = -z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7938835907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*v = 17, 37*f - 38*f = -2*v - 6. Solve 3*u = f*i + 22, -u + 6 = 53*i - 54*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 + 13.3415\nAnswer: 12.5415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0024351797 to five dps.\nAnswer: 0.00244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9713, 19432, 29151?\n\"Answer: 9719*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, p: 1, a: 3, j: 4, y: 1, t: 1}. Give prob of sequence sj.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-9 - -6)) + (1 - (3 + -2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b + 2*b)*(b - b + b) + 5*b**2 - 4*b**2 - 3*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 11:02 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**8\/168 + 4*n**7\/175 + 3*n**6\/100 + n**5\/75 + 174*n**2 + 4*n. Determine u, given that s(u) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -6*v + v - 11, v = 4*r - 31. Let p(l) = -l**3 - 4*l**2 + 3*l + 5. Calculate the remainder when p(-5) is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrrrxrfrxxllxxxx. Give prob of sequence lrr.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/33665340 and 125\/10099602?\nAnswer: 100996020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u - 3*u = 0. Solve -1\/4*y**3 - 1\/4*y**2 + 0*y + 1\/4*y**4 + u + 1\/4*y**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + l**2 - 5*l - 14. Let j = 8 - 8. Suppose 4 + j = -h. Let k be c(h). Is k at least as big as -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2448.25505 - 0.05505. What is v rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4114235 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1344*j**2 + 2. Let h(t) = -24*t - 13. Calculate h(g(l)).\nAnswer: 32256*l**2 - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -3\/7 (c) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010 - 1101?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o + 10. Let m be (-12)\/1*(2 + 10\/(-4)). Let y be f(m). Put -5, 2, y in decreasing order.\nAnswer: 2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilometer in meters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4*sqrt(72) + sqrt(72)))\/((sqrt(66) + sqrt(66)*2)\/sqrt(11)) + -5.\nAnswer: -8*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + ((sqrt(3) + 2)**2 + sqrt(3))*6.\nAnswer: 45 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 w, and 1 r when four letters picked without replacement from {w: 11, r: 7, x: 1}?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 87\nAnswer: 3.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3880 + -3870. Let v = -20 + 8. Let n be 2 + 33\/v*1. Is p greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2792.006 rounded to the nearest integer?\nAnswer: 2792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19557 - 1251603\/64. Find the common denominator of -83\/24 and b.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-27)*-989 - 3. Let d = 223 + k. Which is the biggest value? (a) d (b) 4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/((-20)\/51))\/((-6)\/(-40)). Let k = -675\/4 - h. Which is the nearest to -1\/6? (a) -0.1 (b) k (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -10. Suppose -6*n + s*n = 5. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.6 + 0.6. Let i = 134.2 - 147. Let z = i - -13.8. Which is the nearest to r? (a) -2 (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1646571759.\nAnswer: 3, 7, 1609, 48731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**3\/3 - 7*o**2 - 9*o + 5. Is 5 a factor of a(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (420\/(-390))\/((-2)\/(-52))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*g = 217329 + 129326. Is 113 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-79 + 80 - (-2 + 9)) - -14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4, 129.\nAnswer: -5, -0.4, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (29 - 33) + (11 - 1). Suppose -36 = d*f - 72. Let i(p) = -p**2 + 7*p + 1. Determine i(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 - 31\/(-12))\/((-27)\/18) and 163\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/15)*t)\/(t*(t*t**(-1\/3))\/t)*(t\/t**7)**(-2\/115))**(1\/28) assuming t is positive.\nAnswer: t**(1\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -28, -4, 4 in descending order.\nAnswer: 4, 1, -4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**4 - 2 - 9*f**3 - 2*f - 8*f**4 + f**4 + 2*f**4 to the form y*f + g*f**3 + d*f**2 + w + x*f**4 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3425014211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/2, -2, 3\/66346, -1\/5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -433 - (-11 + 14). Let h = j + 430. Let s be ((-1)\/2*1)\/(-3). What is the third biggest value in 3\/7, 2, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llss when four letters picked without replacement from {v: 1, l: 9, s: 5, u: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*l + 7*l = 17, 14 = w + 2*l. Suppose 2060 = 5*b + 5*y, -4*b + 424 = -3*b + w*y. List the prime factors of b.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/(-456)*54 + (-8)\/(0 - -152)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 5784.5682ms to hours.\nAnswer: 0.0016068245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 797916?\nAnswer: 797916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001001001 (base 2) in base 12?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6 and -99\/285082.\nAnswer: 855246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25853\/3630 - -8\/363. Find the common denominator of 56\/5 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/3)\/(5\/(-12))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x + 12 = -22*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*w**3 + 6*w + 80*w**2 - 112*w**3 + 56*w**3 - 6*w.\nAnswer: -w**3 + 80*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1784305.6 times -0.5\nAnswer: -892152.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7279606 is divided by 11013.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*f**4\/4 + 9*f**3\/2 + 13863*f**2\/4 + 41076*f + 110484 = 0. Calculate f.\nAnswer: -99\/7, -12, -4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 8:09 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**5 - 128*c**4 - 1332*c**3 - 4536*c**2.\nAnswer: -4*c**2*(c + 9)**2*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3\/4, -1\/20, 1221, 0.086?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - j = -1431, -5709 = -4*z - 0*z + j. Calculate the highest common divisor of z and 748.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - f**2 - f. Let a(d) = 10*d**3 - 22*d**2 + 66*d - 36. Let g(l) = -a(l) - 6*r(l). Factor g(i).\nAnswer: -4*(i - 3)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + -2 + -9 + (6 - (-23 + 12)) + 5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 33*h**2\/2 - 85191*h\/2 + 23229 = 0.\nAnswer: 6\/11, 2581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1050)\/(915\/(-61)))\/(10\/4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 2*g**2 + g + 1. Calculate f(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (171\/323*17)\/((-1)\/(-2) - 1313\/3232)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(188\/(-32) - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(6*1)*-2. Let o be 2\/(d\/(-6)*4). Suppose -o*s + s + 4 = 0. Solve -s*k = -4*k + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/32*4*-4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37974 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338687 is divided by 169337.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 307 - 476. Let p = 512\/3 + j. What is the closest to -0.1 in p, -2, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -2, 3, 10, 19, 30?\n\"Answer: p**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122 (base 3) in base 8?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 11*x = -336. Calculate the highest common factor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from {p: 8, q: 2}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-38)*(24500\/588 - (46 - -1))?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 216 - 176. Let k = p + -38. Let i = -1 + 0. What is the closest to k in -2, i, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*y**2 + 6*y**2 - 5*y**2 + (-5*y**2 + 2*y**2 + 2*y**2)*(-1 + 2 + 0) + 2*y**2 + y**2 - y**2 - 2*y**2 + y**2 + 3*y**2 + (-2*y - y + y)*(-2*y + 5*y - 5*y).\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 678\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/5 + 11\/(-15). Let y = 34 + -4. Let o = y + -25. What is the third biggest value in -2\/5, x, o?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*p**3\/2 - 21*p**2\/2 - 27*p - 12 = 0. Calculate p.\nAnswer: -1, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4299 and 33?\nAnswer: 47289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115 and 25?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -623 + 628. Solve 0 = 3*t + 2*k - 1 + 3, 5*k + 10 = -x*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2. Let h(n) = 0*n**2 - 6*n**2 - 2*n**3 + 31 - 32. Determine -h(l) + 6*z(l).\nAnswer: 2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-1) - -3 - 3. Which is smaller: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, i: 1, l: 1, z: 1, w: 1, u: 2}. What is prob of picking 2 x and 2 u?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28770000 rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 3*k**2 + 0*k**4 - 1\/30*k**5 + 0*k**3 + 0 + 0*k. Let b(u) = 490 - 2*u - 966 + 476. Calculate o(b(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.07, -117, 18\/11, -3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 13*l + 20. Let h(y) = -64*y - 80. Let r(g) = -2*h(g) - 9*z(g). Determine r(15).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2697677942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 27\/(-15) - (-864540)\/300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 4*45\/160. Let y = -4 + 6. Sort y, -3, s in ascending order.\nAnswer: -3, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.2 + 7.2. Let t = k - -3. Let c(w) = 8*w - 31. Let v be c(4). Put 51, v, t in increasing order.\nAnswer: v, t, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -80115 - -7?\nAnswer: -8010a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(704) + sqrt(704) + 1 - sqrt(704)))**2 + (sqrt(704) + -2)**2 + 4.\nAnswer: 224*sqrt(11) + 11992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -194.7 times 3?\nAnswer: -584.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -4 (b) 10 (c) 0.2 (d) -131 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*q - 3 + (4*q - 4*q + 3*q)*(6 - 2 - 3) + 2*q + 2*q - 7*q - 2*q + 2*q + q + (-2*q + 0*q + q)*(-3 + 4 - 2) to the form l*q + s and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*c + 40*c + 133 = -293 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 178 - 179.82. Let s = b - 2.06. What is s rounded to 1 decimal place?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*s*v**2 - 15248734*s - 9625*v**2 + v wrt v?\nAnswer: 32*s*v - 19250*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 9 = -r + 22, 2*r = 5*g - 37. Let w(i) = -6*i**2 - 5 + 2*i**3 + g*i**3 - 10*i**3 + 2*i. Suppose 0*m + 30 = 5*m. What is w(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 3*c + 11*c to the form d + j*c and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 19392?\nAnswer: 135744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/20*(-3 - -1). Suppose 5*l + 11 = -0*l + 2*o, -17 = 3*l + 4*o. Let d = l - -4. Is d less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/(-6))\/((-3)\/6). Let u = 3 - m. Let i = -6 + u. Solve 0 = h - n + i, 2*h - n + 4 = -2*n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2119*g**3 - 167019*g - 1 + 1 + 2931*g**3 + 167019*g.\nAnswer: 5050*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 0*h**2 + 1\/3*h**3 + 6 + 0*h. Let z(o) = o**2. Calculate w(z(x)).\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 888, 897, 910, 927, 948?\nAnswer: 973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17406634 - 30125460. Let o = n + 22318826. Suppose 4*q = 10*q + o. What is q rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**10*i*i\/(i*i*(i**(-3\/7)\/i)\/i))\/((i*i**(2\/15)\/i)\/i)**(2\/93) assuming i is positive.\nAnswer: i**(121547\/9765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*d**5 + 215446*d**3 - 53*d + 1831 wrt d?\nAnswer: -1080*d**3 + 1292676*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-390)\/(-16))\/(135825\/7244)\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 261. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x**2 + 14*x**2 + 4*x**2 - 8*x**2.\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.237546949 take away 19991.73?\nAnswer: -19991.967546949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/2*2\/(-11). Suppose -15 = 51*y - 36*y. Which is bigger: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 + -2. Let t be 3*3*(-1)\/(-27). Which is the closest to 0.1? (a) q (b) t (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17850 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 + 2.96. Let z = -0.347 - -0.847. What is the closest to m in -0.2, z, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 + c**3 - 2*c**3 + (-3*c + 3*c + 2*c)*(-c**2 - 4*c**2 + 3*c**2) - c + c - c**3 + (1 - 2 + 2)*(3*c**3 + 0*c**3 - 25*c**3).\nAnswer: -26*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -23. What is the tens digit of 3\/(-12 - g) - (-1902)\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169328 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -42. Let i(f) = -13*f**2 - 2*f - 1. What is i(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -212076, 0.5, 3\/5 in descending order.\nAnswer: 3\/5, 0.5, 0.1, -212076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1861 divided by -79.\nAnswer: -1861\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 39. Let r = -7 - -5. Let c(x) = x**3 + x**2 - 2*x. Let n be c(r). Solve l - 4*j - u = n, 4*l + 21 = -0*l - j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**3 + 12668*x**2 - 9895552*x - 213430224 = 0.\nAnswer: -21, 1594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*j + 925 = -260, -2*m = -5*j + 489. Let a = 65 - m. Calculate the highest common factor of a and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.019 + -0.981. Which is the closest to h? (a) -1 (b) -3\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 7*w + 896 = 0. Does 21 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 190 - 86. Let b = -104.0057 + p. What is b rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2781)\/6*(-2 - (-2)\/3). Suppose -8*i + n = -9*i. Let k = i - -1297. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -1. Suppose -3*i + 31 = -l, -i + 3*l = 4*l - j. Let p be (0 - (-2 - -1)) + 7\/(-7). Solve p*d = 3*d - 5*t - i, -4*d - 25 = t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 - 17*b - 11. Let h(y) = -y**2 - 9*y - 6. Let o(u) = 5*h(u) - 2*x(u). Let r be o(-10). What is the third smallest value in -1, -0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39 - 1543705?\nAnswer: -1543743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30232, -61289, -92348, -123409, -154472, -185537, -216604?\n\"Answer: -r**2 - 31054*r + 823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 0)\/((-4)\/(-10)). Suppose 8 + 47 = y*g. What is the smallest common multiple of 7 and g?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 27. Let n = o - -5. Let h = -5 - -3. Put n, h, -4 in decreasing order.\nAnswer: n, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 135*b**2 - 132*b + 263. Calculate s(-134).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3 + 62\/450*-3 - 98847\/(-745275)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 436088?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1402304020 + 3?\nAnswer: -1402304013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2, -2\/39, 7.2, -3, -8\/3?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10389 + 0.1.\nAnswer: 10389.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/9 - 39034*n**2\/9 + 14107708*n\/9 - 3117696 = 0. Calculate n.\nAnswer: -19872, 2, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + -47. Suppose -p*s + 15 = s, 2*s - 65 = -5*g. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 v when three letters picked without replacement from vvrrrvvrvvrrrvvvrr?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76.383 + 72.95. Let k = 0.443 + u. What is k rounded to one decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2208988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is a in -27*a**4 + 2586*a**3 - 26919*a**2 - 1903212*a + 1927572 = 0?\nAnswer: -191\/9, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 100 = 3*h. Solve -4*l - h = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 840\/2100*(-1)\/(-4)*2100\/9. Factor 54 + 96*m - z*m**2 + 4\/3*m**3.\nAnswer: 2*(m - 9)**2*(2*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 5*c + 5, -1279*y + 4*c = -1187*y + 572 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -10*t - 58. Suppose 0 = 5*u - 4*q, -10*u + 11*u + 4*q = 24. Solve u*i + t + 2 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 295\/414?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -888 - -888. Let m(r) be the second derivative of j*r**2 + 1\/6*r**4 + 0 - 6*r + 0*r**3. Let w(h) = 3*h. Determine w(m(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5225794 is divided by 60?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6*x + 391 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36384263 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 5*n**3\/6 - 5*n**2\/2 + n. Suppose -2 = d - 6. Is k(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 2:17 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**2 + 2576235*q + 131380182 = 0.\nAnswer: -858694, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.248745um to nanometers.\nAnswer: 1248.745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - 6*x + 85*x**2 + 63*x**2 + 3*x + 38*x**2 - 28*x**2.\nAnswer: 158*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 1:09 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 5\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -87*f**3 - 5*f**2 - 4*f + 1. Suppose -3*l = 99 + 162. Let s = 84 + l. Is x(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 4505922.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -2361346 and -2361358 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8026, -64184, -216608, -513430, -1002782, -1732796, -2751604?\nAnswer: -4107338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -49910 plus 43.8?\nAnswer: -49866.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72598 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Let p = -182.95 + 183. Let d = p - n. Which is greater: 0.1 or d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7795, 7797, 7799?\n\"Answer: 2*q + 7793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 2*x + 3. Let u be c(3). Let r = 8 - u. Put r, 0, -3 in decreasing order.\nAnswer: r, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let u(p) = -4*p**2 + 12*p - 16. Let d(z) = -u(z) + 4*y(z). Factor d(n).\nAnswer: 4*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/((-357)\/28))\/(8\/(-36)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-12))\/7*100\/(-125).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-294)\/(-1029))\/((-5)\/28).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7292\/9 - -810. Sort -3, 4.4, -0.4, o in increasing order.\nAnswer: -3, -0.4, o, 4.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1.60873 times 0.7\nAnswer: -1.126111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 180 = 3*x, -74*p = -70*p + 2*x - 734. Which is the second biggest value? (a) p (b) 1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2857*m**2 - 4137*m wrt m?\nAnswer: -5714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*(3 + 2 + -2*(sqrt(1331) + 2) + -5).\nAnswer: 9 + 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/((-140)\/(-15)))\/((-21)\/56).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/15)\/((-2)\/(-5)). Let b(f) = -3*f**2 + f - 2. Suppose 4 = 2*t - 0. Let y(v) = -7 + 0 + 4*v + 0*v**2 - 10*v**t. What is m*y(s) - 7*b(s)?\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*t - 70 = 13*t. Suppose 6 - 1 = d. Sort 6, t, d in descending order.\nAnswer: 6, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 149744 and 1309.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 4*y - 5*y + (-9 + 10 - 10)*(12 - 2*y - 12))*(-21 - 6*y + 21).\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -36338 and 0.579.\nAnswer: -36337.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -143, 0, -3, 43, -2, 263.\nAnswer: -143, -3, -2, 0, 43, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266 and 714?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**6\/24 - b**5\/12 + 5*b**4\/12 - 27*b**2\/2 - 26. Let q(n) be the second derivative of h(n). Find c, given that q(c) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114980198 and 2858?\nAnswer: 2858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1582 and 12045800?\nAnswer: 84320600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -24*t + 14*t. Suppose -24*z = -19*z + 3*c - 15, 5*z - 2*c - t = 0. Solve a = -z - 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/150 and 69\/590.\nAnswer: 8850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 - 42*w - 2370. Give a(30).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 7*r + 68. Let o(f) = -f**2 - 4*f - 70. Calculate 3*o(i) + 2*z(i).\nAnswer: i**2 + 2*i - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/40 + 6\/(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 1. Let y(m) = m**3 - 3*m**2 + m + 1. Let t be y(2). Let u = -2 - t. What are the prime factors of i(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52765306?\nAnswer: 2, 11, 2398423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 226*n**2 + 1696*n + 3762. Calculate m(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -3, -2\/7, 0.4, 0 in ascending order.\nAnswer: -3, -2\/7, -1\/5, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2 - 4. Let i be u\/10 - (-48)\/15. Solve s - 15 = 3*w, -15 = -0*s + i*s + 3*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -276a (base 12) to base 7\nAnswer: -16153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321597 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -149289? (a) -2 (b) -58 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + 2 + sqrt(1573))*-5 - ((sqrt(1573) - -2*sqrt(1573)) + sqrt(1573) - sqrt(1573))*-5)**2.\nAnswer: -1100*sqrt(13) + 39425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -22\/19, 3\/5, 0.1, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 15 = 4*x + 2*n, 0 = -5*n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 2479.\nAnswer: 29748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447550 a multiple of 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**3 + 12358*v**2 - 876*v + 5 wrt v?\nAnswer: -6*v + 24716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p + p + 0*p)*(-4 + 0 + 3).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20189.5227 nanoseconds in days?\nAnswer: 0.00000000023367503125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1057.274 and -23.\nAnswer: -1080.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + d?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8207 is divided by 1631?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p + 6. Let b(o) = -13*o + 11. Suppose 5*g + 15 = 35. Suppose g*a = 3*a - 11. Suppose 2*d = -2*h + 5*d + 6, 0 = d - 2. What is a*m(j) + h*b(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -44 - (26 - (18 + (13 - 17)))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(7\/(-28)) - 4. Let o(g) be the second derivative of 3\/40*g**5 + 1\/60*g**6 - 1\/2*g**2 - 1\/4*g**3 - 4*g + 1\/24*g**4 + z. Factor o(h).\nAnswer: (h - 1)*(h + 1)**2*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-183)\/(-244) + 306\/(-24).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.388, 2, 8, -0.3, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 2330?\nAnswer: -2335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z**3 - z**3 + z**3 - 2*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4\/4 - 3561*u**3\/2 + 289155*u**2\/4 - 633675*u\/2 = 0. What is u?\nAnswer: -2414, 0, 5, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/6)\/(1\/(-2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - x + 17 = 0, 3*x + 2*x - 30 = -4*w. Suppose 0 = -4*t + 2*v + 86, -w*t = -4*v - 124 + 9. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 - -100. Let p = 55 - h. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/10875108 and -5\/6.\nAnswer: 10875108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s - 6*s. Suppose 34*a - 36*a + 12 = s. Is a\/5*200\/12 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -114279939043.2339899 + 114279954174. Let i = 15128.906 - d. Let u = i + 1.86. Round u to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208 (base 9) to base 14\nAnswer: c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 - -108580397.9?\nAnswer: 108580399.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from fmmmcmcfcmfmf.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 8*a**2 + 5*a - 3. Let b(i) = i**3 + 5*i**2 + 3*i - 2. Give -7*b(n) + 5*y(n).\nAnswer: -2*n**3 + 5*n**2 + 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 266235, 266234, 266233, 266232?\n\"Answer: -u + 266236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -20*s**5 - 25*s**4 + 55*s**3 + 35*s**2 - 35*s - 10 = 0.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 5. Let l be (-1)\/((-1)\/5*1). Suppose -l*z + 13 = -17. Sort j, z, 5 in increasing order.\nAnswer: j, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54673822319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12.8 or 324037?\nAnswer: 324037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11974 + -11975. Which is smaller: d or -5\/1892?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1391*m**3*w - 4*m**2 - 6*m*w + 4572*w + 3 with respect to m.\nAnswer: 4173*m**2*w - 8*m - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 - 7*v + 2*v**3 + 14*v**2 + 0*v - 1 - 2*v**4 - 2*v**3 in the form s*v**3 + l*v + w + t*v**4 + b*v**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -426.6 - -427. Sort -4, 0.5, -0.09, l in ascending order.\nAnswer: -4, -0.09, l, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppxpgkgnnzn. What is prob of sequence kpgz?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 535 - 601. Do -63 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q - 7024 = 359. Let c = q - -560. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayyayxgyxj. Give prob of sequence axj.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3493 = -3*z, 0 = -2*x + 6*z - 2*z + 1366. What is the remainder when x is divided by 353?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -133, -53 in decreasing order.\nAnswer: -4, -53, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 178 and 439927?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-9))\/(c*c**4))\/(((c**(1\/4)\/c)\/c*c*c)\/c)**10)**(-38) assuming c is positive.\nAnswer: c**209","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/2043 + 7490\/2043. Let o(z) be the second derivative of -28*z - 10\/9*z**3 - v*z**2 + 0 + 1\/18*z**4. Determine d, given that o(d) = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.525 in 5, -18, 3\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20415370 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**5\/110 + 2*c**4\/33 - 4*c**3\/33 - 6*c. Factor r(b).\nAnswer: -2*b*(b - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -757?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**4\/12 + 7*i**3\/6 - 3*i**2\/2 + 15*i. Let q be r(-9). Is 0 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 h, and 1 i when four letters picked without replacement from jihjjihjiih.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 444, 738, 1032, 1326?\nAnswer: 1620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -2)\/((-1)\/(2\/4)). Suppose h = -6*g - 4*g. Solve 3*o + 14 = 2*x - g*o, -x + 2*o + 9 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.116596ng?\nAnswer: 0.000000009116596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 937546*a*i*l + 91286*a*l - 100*a + i*l with respect to i.\nAnswer: 937546*a*l + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/27)*j)**(-44) assuming j is positive.\nAnswer: j**(-2464\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.539 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12031, -12352, -12673, -12994, -13315?\nAnswer: -13636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*w, -19*l - 48*l + 72*l = 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(60)\/sqrt(5) - sqrt(12))\/sqrt(4) - -6*(-1 + sqrt(3)))*2.\nAnswer: -12 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 13*i - 3. Let p be o(14). Let q = -19 + p. What is the common denominator of (4\/q)\/(8\/(-114)) and -39\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 9. Suppose 0 = -a*g + 4*t + 8, 0 = -4*g + 2*t - 4*t - 14. Calculate the lowest common multiple of (-9)\/(-2) + g\/4 and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2. Let u(d) = 4*d**2 - 3. Let f(z) = 3*z**2 - 2. Let y(v) = 6*f(v) - 4*u(v). Calculate y(k(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.4530009154 - 9.453. Round d to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -1, -5, -174?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, 45, 155, 347, 645?\n\"Answer: 4*v**3 + 5*v**2 + 9*v - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*g**2*j**3 + 3*g**2*j**2 + 2*g**2 - 2*j**2 - 3*j wrt j.\nAnswer: 348*g**2*j + 6*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 31*j - 89. Determine f(-26).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.48 - -2.8. Let b = -1.32000176 + m. What is b rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 times -1?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 373 by 25.\nAnswer: 373\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 80. Let i(o) = -o + 163. What is 3*i(q) - 5*w(q)?\nAnswer: 2*q + 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - ((-6)\/(-1))\/(-3). Suppose -d*u + 155 = -2*u. Let p = u - 27. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 - 4 = 0. Let b(l) be the third derivative of 2*l**5\/15 - l**4\/12 + 7*l**3\/6 + 3*l**2 - 3*l. What is the units digit of b(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 11*f - 38. Let l be q(3). Let v(d) = -d**2 + 8*d - 14. Determine v(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54791\/12 + -4577. Find the common denominator of t and -115\/1356.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**3 + 36*k**2 - 56*k + 254. Give g(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (2 + -7) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53838132?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25644, -25616, -25588, -25560, -25532?\n\"Answer: 28*j - 25672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-458*j - 1162*j + 2838*j + 2879*j + 508*j)*(1 - 1 + 5*j**4).\nAnswer: 23025*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 2*w - 2*w)*(3*w**3 + 2*w**3 - 3*w**3) + (15*w**2 - 15*w**2 + 32*w**3)*(-3*w - 5 + 5)*(40 - 24*w - 40).\nAnswer: 2302*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -212.\nAnswer: -7\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 9.4. Let y = -26781 + 26773. What is the third biggest value in y, w, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-119)\/21)\/(((-2)\/9)\/2). Suppose -z + o = -2*o - y, 5*o - 295 = -5*z. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-15)\/(-150)*(-2)\/26\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 54\/(-189) - 66\/14. Let c be d\/1*-2*(-2)\/(-4). Solve 0*i + i - 5 = c*m, -4*m + 10 = 2*i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 3*o + 0*o)*(-6961*o**3 + 4592*o**3 + 6585*o**3) to d + t*o**3 + u*o**2 + z*o**4 + w*o and give z.\nAnswer: 4216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(-2*b + b + 2*b) + 16 + 23640*b - 17 - 21206*b.\nAnswer: 2433*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(7) + sqrt(35)\/sqrt(5)) + sqrt(12) + sqrt(12) - sqrt(12) - sqrt(12))\/sqrt(4)*6 + (2*sqrt(336))\/(6*sqrt(14)\/sqrt(2)).\nAnswer: 13*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*y + 3*o + 11, 0 = -3*y - 3*o. Let q be -1 + 5 - (1 + y). Suppose -19*s + 37*s + 31*s = 7*s. Put -4, s, q in increasing order.\nAnswer: -4, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 - 13*q**2 - 2*q + 22. Let u be t(-6). Let h(r) = -101*r + 8. Is 35 a factor of h(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/9 and (-122)\/(-72) - (-20)\/30.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**6*s**(-1\/7))**(-37))**(-24\/13))**(-1\/3) assuming s is positive.\nAnswer: s**(10656\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 3*a - 4. Let z = -14 + 18. Calculate g(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 38*s**2 + 142*s + 182.\nAnswer: 2*(s - 13)*(s - 7)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 731*l - 2. Let t(h) be the third derivative of h**4\/24 - 5047*h**2. Determine t(v(b)).\nAnswer: 731*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -77, -3\/8, 31?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3376\/10 + (-12)\/20. Suppose 5*t + 4*p - n = -0*t, -186 = -3*t + 3*p. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 6*s**2 + 4*s**2)*(0 + 2 + 0)*(-1 + 4 - 4).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -8. Calculate the lowest common multiple of z and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121000221111122 (base 3) in base 12?\nAnswer: 2a2b615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52402?\nAnswer: 2, 7, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 0*c**2 - 1\/1620*c**6 + 0*c + 1\/3*c**3 + 1\/135*c**5 - 2 - 1\/27*c**4. Let b(l) be the third derivative of h(l). Factor b(m).\nAnswer: -2*(m - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 318, 574, 866, 1206, 1606, 2078, 2634?\nAnswer: 3286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r + 3*r + 513211 - 513428 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5 = 25. Suppose f*q = 4*q + 69. Suppose -2*i + 221 = 3*w, 3*w - 5*i - q = 187. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-2)\/3 + (-2583)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 0.3, 8, -52, -0.5, -1, 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -33. Suppose 0 = -5*z - 3*c + 910, 0 = h*z + 4*c - 322 - 406. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 361*q**4 - 67141*q**2 - 22*q + 2498701?\nAnswer: 4332*q**2 - 134282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4433 and 715?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77814 is divided by 9726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -31. Suppose -64 - 13 = -z*o. Calculate the remainder when 14 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -14*t**3 + t. Let q be i(-1). Suppose 33 - q = 5*p. Solve 5*z + 0*n - 30 = -4*n, p*z = -n + 13 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1289 (b) 0 (c) -5 (d) 4\/109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9241913 a multiple of 509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-177 - -176) + -1 + (-1865)\/(-1). Calculate the remainder when (c\/(-36))\/(-9)*8 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 984.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 184.\nAnswer: -920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 35 + 81*w**2 - 88*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 168328 and 3.011.\nAnswer: 168331.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, -0.1, -2\/19, 21\/2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5475811 by 2.\nAnswer: 5475811\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41017543 (base 8) in base 4?\nAnswer: 201001331203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -20712a?\nAnswer: -207133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 6*l - 1. Let z(h) = -3*h**2 + 13*h + 1. Let u(t) = 13*w(t) + 6*z(t). What is the derivative of u(o) wrt o?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-2 + (33 - 816\/16)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8299.4 + -8299. Which is the closest to 2? (a) 6\/11 (b) 5 (c) g (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 3 + 3)*(2*j + 4*j - 9*j)*(17 - 31 - 14 - 2*j).\nAnswer: -30*j**3 - 420*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 12 = 3*g, 10*k = g + 7*k - 20. Let h = 11 + -11. Sort 39, g, 5, h in increasing order.\nAnswer: h, g, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 164 - 165.84. Let l = n - -5.84. Let u = -1.5 + 1. Which is the third biggest value? (a) l (b) -5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/1260, -4\/45, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94105470 to the nearest integer?\nAnswer: 9701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293283 to the power of 1\/2, to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 2)\/(9 - 2057\/231). Solve 8*n + f = 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 12, y + 5*g + 1 + 14 = 0. What is the nearest to -5 in 0.2, 0.4, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 89 = -5*l. Let k(j) = -1 - j + 5*j**2 + l*j**3 + 2*j**3 - 14*j**3. Give k(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*z = -143*z - i + 115, -30 = -5*z - i. Let k be (-1)\/((-1)\/(-5)*1). Put z, -21, -1, k in increasing order.\nAnswer: -21, k, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 0*d - 36 + 2\/3*d**3 + 0*d**2. Let a(n) = 4*n. Determine o(a(g)).\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**2 - 12 - 13 + 34 - j**2 - 4*j**2. Let y(p) = -p**2 + 3. Let d(o) = 2*f(o) - 6*y(o). Let r(a) = 10*a**2. Give d(r(l)).\nAnswer: 400*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6*d - 8. Let c(x) = 2*x**3 - 2*x**2 - 2*x + 2. Let z = 14 + -12. Let b be c(z). Let j be i(b). Calculate the highest common factor of j and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 2\/17, 6.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -c182ac?\nAnswer: c182ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (13 + -7 - 8) + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*v - 31, -5*v + 24 = -5*n - 51. Which is smaller: n or -10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -130, -197, -274, -355, -434?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 + 131 - (-1 + 1 + (-2 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -206179021, -206179025, -206179031, -206179039?\n\"Answer: -q**2 - q - 206179019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2 - 5*l - 10*l**2 - 92 + 4*l**2. Let g(r) = -r**2 - 2*r - 46. Let v(d) = -5*g(d) + 2*m(d). Differentiate v(x) wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14695562 is divided by 1088?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14725.\nAnswer: 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -6) + (339 - 335).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 344 + -5?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 1585*j**2 + 9*j - 19. Is i(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -323550 (base 6) in base 7?\nAnswer: -141033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -15 + (23 - 21) + 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47803276?\nAnswer: 2, 11950819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-5)\/30)\/(8\/(-4))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qahp when four letters picked without replacement from hhhhhhaqphhqha?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*h**3*k*v**2 + 233*h**3*v**2*y + 4*h**2*k*v**2*y + h**2*k*y - 5*h*v - k*v**2*y - 2*k*y + 50*v**2 wrt h.\nAnswer: 228*k*v**2 + 1398*v**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/506 and -68\/22977.\nAnswer: 505494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(-m - 3 + 3) + 3*m - 91*m - 29*m - 151*m as h*m + s and give h.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -539\/12 + 45. Let o(s) be the second derivative of -2*s + 2*s**2 + 0 + j*s**4 + 2\/3*s**3. Factor o(l).\nAnswer: (l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 23*l**2 - 61*l - 7. Determine s(5).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 7*o + 9. Suppose -26 = -5*z + 124. Suppose 0 = 8*l - 30*l + 44. Suppose 7*q = l*q + z. Determine w(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (224 - 1) + (-228)\/(-38) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99\/45 - 1179\/495\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -4. Suppose 17 + 23 = t. Let r be -2 + (-6)\/(-2) + (-24)\/t. Which is the closest to 1? (a) r (b) 2\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 101*b + 2. Let k(r) = -1. Give 2*k(s) + m(s).\nAnswer: 101*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 394640 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 9*j + 1. Let v be u(7). Let k be 6\/(-9) - (-10)\/v. Determine b so that 4\/3*b**2 + k - 2*b**4 + 2\/3*b**3 + 0*b = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.11, -1\/3, -5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-81)\/(-90))\/(14 - 8)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12337 or -12545?\nAnswer: -12337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 4*c + 1. Let r be n(-2). Suppose i - v + 0*v - 3 = 0, 3*i - 1 = r*v. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0454 - 24.9454. Let v = n - -6. Let f = v - -19. What is the closest to -1\/4 in f, -2, 3\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n - 5*g = 22*n - 5, -n - 5*g - 11 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-1699)\/(-7) + -1 + 9*28\/882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7436.6*0.3.\nAnswer: -2230.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 14. Suppose 0 = -3*i + 4*x - 3, -15 = -0*x + 5*x. Let n = l + i. Solve -n*f - 40 = 5*h, -2*h - f + 0*f = 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 111.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8223517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66214 is divided by 6272.\nAnswer: 3494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 5*v**2 - 3*v - 9. Let x be w(6). Let c = x + 123. Is 33 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32403*g - 1395 = 32418*g for g.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1206)\/67*(2 - 5 - 44\/(-16))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6.4 (b) -2065 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -17*a**3\/3 + 17*a**2\/2 - 25. Find the second derivative of b(h) wrt h.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2784, 2739, 2694, 2649, 2604?\n\"Answer: -45*w + 2829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 660*p**4 + 1887*p**3 + 1848*p**2 + 675*p + 54 = 0.\nAnswer: -1, -3\/4, -6\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8029943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -d + 41, -1 = s - 5*d + 15 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 2474\/((-8)\/(8\/(-2))). Suppose 6120 = 5*t + 5*c, -2*t + v = -t + 3*c. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5127239, -5127233, -5127227, -5127221, -5127215, -5127209?\n\"Answer: 6*y - 5127245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*k + 5*q, 4*k + 16 = 4*q + q. Let i = k + 10. Suppose 5*g = i*g - 7. Let l(j) = j**3 - 8*j**2 + 6*j + 5. Calculate l(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - h = -147, -3 = 3*h + 6. Let u = t + -19. Let a = 22 + -16. Calculate the remainder when u is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2652 * 109330\nAnswer: 28994.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 234026 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-48)\/84*(-7)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 12. Find the first derivative of -38*l + 26 - 10 + r*l + 4 wrt l.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7\/1830 (b) -4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33805*b**3 - 22666 wrt b?\nAnswer: 101415*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(-12\/5))**(8\/11) assuming q is positive.\nAnswer: q**(-96\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8\/3, 1112\/3, 0, -15, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/16)\/(1\/12). Let h(x) = -2*x**3 - 17*x**2 + 10*x + 21. Let g be h(-9). Suppose -g*s = -9*s - d. Solve t + 2*m + 1 = 0, -2*t - s*m = -0*m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 576107*d**2 - 91330 with respect to d.\nAnswer: 1152214*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 3*d - 4*z + 28, -5*d - 2*z - 42 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 35*f**4\/16 + 5*f**3 - 5*f**2\/2 + 396. Factor x(i).\nAnswer: 5*i*(i + 2)*(7*i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 111904280*x + 111904275.\nAnswer: 5*(x + 1)*(x + 22380855)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qnnnnqonnnnon?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182010*11.1.\nAnswer: 2020311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, w: 7}. Give prob of picking 2 w.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 0.37\nAnswer: 2.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.4 or -0.004?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288628 and 2950?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6191*w + 11882*w - 5932*w = -7471 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -12, 670*h - 673*h - 14*f = -4*f - 7*f + 21*f + 105 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + sqrt(17)*1 + -3.\nAnswer: -5 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 + 18*o - 11. Let j be b(-18). Let q = 1243 - j. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-18)*10\/(-4)*((-102144)\/760)\/(-16)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4. Let d(n) = -n + 6. Let k(t) = 4*d(t) + 6*s(t). Let x(j) = -9*j + 4. Let o(g) = -55*g + 25. Let w(z) = -4*o(z) + 25*x(z). What is w(k(y))?\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(2057)*2 - sqrt(2057))*5 + sqrt(2057) + 1 + -3 + 6*(sqrt(2057) + -1 + -5))**2.\nAnswer: -1190608 + 40128*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 21*z**2 - 7*z - 4. Let v(q) = 11*q**2 - 4*q - 3. Give 3*h(k) - 5*v(k).\nAnswer: 8*k**2 - k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41.103 + -56.29. Let f = -0.213 + g. What is f rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1269 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)*1 - ((sqrt(7)*-1)**2 + 2) - ((sqrt(175) - -2*sqrt(175)) + 3)**2.\nAnswer: -1593 - 87*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 4, -1595533, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*473729.\nAnswer: 14211870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + n - 2 = -8, -1 = 3*f - 4*n. Suppose -f*h + 2 = -3*h. Let d(a) = 1 - a - h + 2*a. Let q(g) = -3*g**2. Give d(q(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -22*b. Let p(u) be the second derivative of -u**4\/12 + 28*u. Calculate x(p(q)).\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(0*l**3 - 2*l**3 + 0*l**3 - 2 - l**3 + 2 + (4*l**2 - 4*l**2 + l**2)*(2 - 2*l - 2) + l**3 + 0*l + 0*l - 2*l**3 + l**2 - l**2)*(0 + 1 + 1).\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - 4*k + 5*k)*(0 - 2 + 3)*((-1 - 1 + 0)*(2 + 1 - 5) - 2 - 3 + 3).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 + 6*t + 5. Let j be i(-3). Let y be (-30)\/(-9) + -4 - j\/(-48). Which is greater: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-4))\/(-8 + (3 - -3 - -3))?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -1. What is the units digit of 2 - ((1 - 0) + x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 4316*g**2 + 22016*g - 364224.\nAnswer: -4*(g - 1084)*(g - 7)*(g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -1, 0.2, 1\/2, -0.1, -854\/79?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -102061 (base 7) to base 13\nAnswer: -7c9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-1 - 0) - -2768. Suppose 0 = 3*u + 1964 + i. Let y = u - 1243. What is y rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24430823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1 - 3 = 0. Let y(g) = -2*g - 1. What is the remainder when (d\/3)\/((-2)\/24) is divided by y(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**2 + 10654*z + 513. Let q(y) = 3*y**2 - 5327*y - 293. Give -4*j(i) - 7*q(i).\nAnswer: -i**2 - 5327*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1924, 3843, 5762, 7681, 9600?\nAnswer: 11519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 divided by -5.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/18 - (-2)\/(-3). Let i(m) = -m**2 + 5*m. Let s be i(6). Is x smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01687 - 0.0168693863. What is k rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/69277 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1554483783 to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12285\/11 + 1117. Factor b*s**2 - 28\/11*s + 98\/11.\nAnswer: 2*(s - 7)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/563, 0.3, 0.2?\nAnswer: 2\/563","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 882.685 kilometers in meters?\nAnswer: 882685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -1009. Suppose q - 2*o + 16 = 27, 0 = -3*o - 12. Suppose q*n - l = 4. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192\/4224)\/((-3)\/18).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.49607558 and 1744?\nAnswer: 1743.50392442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q. Let x(a) = -312*a + 143. Let g(p) be the first derivative of -13*p**2\/2 + 6*p + 56. Let f(o) = 143*g(o) - 6*x(o). Determine n(f(b)).\nAnswer: -91*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128979)\/25857 + (-145)\/(-29)?\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 = -48*k - 1252 + 2614 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -147678 - -443038\/3. Suppose 0*k + t*k**4 + 0 + 300*k**2 + 40*k**3 = 0. Calculate k.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 14*t**2 - 5*t - 2. Let s(k) = 9*k**2 - 3*k - 1. Give -8*s(h) + 5*u(h).\nAnswer: -2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, u: 2, b: 1, c: 2}. Give prob of picking 2 c and 2 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -0.3 (c) -1\/3 (d) 4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7557260 (base 8) to base 16.\nAnswer: 1edeb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 20. Calculate the remainder when d is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5, 48, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1034)\/(-1551)*84\/(-2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Suppose -5*j + 6 = -x*j. What is the units digit of (-2)\/(-2) + j - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 1, o: 1, l: 2, t: 1, r: 1}. Give prob of picking 1 t and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.1 in -0.07, 27\/13, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/23)\/o)\/o*o**6*o**(-2\/5)\/(o\/(o\/o**6)))**18 assuming o is positive.\nAnswer: o**(-4788\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h - 108. Let v be w(16). Let b = 601 - v. What are the prime factors of b?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 take away 0.3311?\nAnswer: -174.3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 50 + 609*m - 22.\nAnswer: 609*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -x + 5 - 12, 3*p - 5 = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 6*y + 2. Determine s(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 33.8673799180544?\nAnswer: 34.3673799180544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/9 of a hour in seconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 24 = -6. Suppose 5923 = 711*f - 1187. Calculate the remainder when f is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -14. Let k(f) = f**3 + 8*f**2 + 2*f + 8. What is the remainder when k(-7) is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s + 15. Let g be u(-22). Suppose -g - 25 = -3*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11697642 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 15. What is the greatest common divisor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159a (base 14) in base 12?\nAnswer: -2298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**5\/20 + y**4\/6 + 84*y**2 - 38*y. Let o be f(0). Suppose 0 = -w + o - 136. What is the lowest common multiple of 24 and w?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-3) + (-2)\/3. Let q(h) be the first derivative of -h**4\/6 + h**3\/2 + 3*h**2\/2 + 11. Let j(o) be the second derivative of q(o). What is j(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**4\/12 - 5*c**3\/6 + c**2 + 25*c - 5. Let s = -14 - -19. Determine t(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304989241 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 12:47 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 246 and 49601334.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1387aa (base 13) in base 16?\nAnswer: -742e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*t - 1195 + 59, 4*t + 1104 = -4*m. What is the tens digit of -5 + 0 + (-1 - t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 21*s**4 - 12 - 1 - 1 wrt s.\nAnswer: 84*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -17 - (1 + -2 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -901 - -916.52. Let k = j - 0.02. What is k rounded to zero decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8125 + 8141 - 16266 + 2*f**3 + 13*f**3.\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 9:09 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1600) - sqrt(1600))\/(sqrt(128)*-6) + ((1*sqrt(2) - sqrt(2))*2 + (sqrt(12)\/sqrt(3))\/sqrt(2) + 3)**2.\nAnswer: 29*sqrt(2)\/4 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 1, -32 in decreasing order.\nAnswer: 4, 1, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*n - 55674 + 55314 for n.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 b when three letters picked without replacement from {d: 3, r: 3, q: 3, c: 1, n: 2, b: 2}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*p + 26*p**2 + 172*p - 2*p**2 - 14*p**2 - 8*p**2 as w*p**2 + d + m*p and give m.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 374096*z + 34986954304.\nAnswer: (z + 187048)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -6. Let p = m + 7. Let s = 390 + -387. Solve 0*i - p = s*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 - 3 - 4*p**2 + 1 + 4*p + 1. Let m be j(3). What is the third derivative of 0*a**6 + 0*a**6 + 0*a**2 + 4*a**m - 5*a**6 wrt a?\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 25 - (-2 + -17 - (3 + -4)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -41075*k - 164238. Determine m(-4).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 72?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**5\/6 + 5*u**3\/3 - 5*u**2. What is the first derivative of s(v) wrt v?\nAnswer: 20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x - 1. Let v be b(1). Suppose v*j = -3*a + 2*a + 250, j = 2*a + 130. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*t - 736 = -50*t. Is 92 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 4 + 26 = 0. Suppose 3*x + 4 = 22. Suppose -4*m + 43 = -q*k - 21, -2*m - 5*k = -x. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137606 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**2\/7 + 3036*u\/7 - 3030\/7.\nAnswer: -6*(u - 505)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t + 38*t = 16. Let c(d) = 2*d - 12. Determine c(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/((-117)\/54) + 10. Solve -r*x + 40 = 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8894 is divided by 59.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 - (4 + 5 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2258430 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.006, 28, 2?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2837792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 213d (base 14) in base 3?\nAnswer: 21212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**3\/3 + 9*d**2\/2 + 10*d + 11. Give p(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h + 1. Let g be a(-1). Let m = g - -5. Suppose 0*x + x - 8 = -m*w, 16 = 4*x - 4*w. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4192 + 4188. Let q = -7 + 4. Which is the second smallest value? (a) q (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38\/45 - 4\/9. Suppose 2 = -5*r + 12. Suppose 5*a = -4*v + 25, -r + 15 = 3*a + 2*v. What is the second smallest value in o, -1, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + (sqrt(85)*-2 - sqrt(85))*-4)\/(sqrt(60)\/(-3*sqrt(12))).\nAnswer: -39*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.7 (b) -39 (c) -1\/4 (d) 1\/3 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 5*x = 4*f + 11, -419*f + 416*f - 10 = x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -6. Suppose -2 = l*y - 22. Factor -y*j**3 + 25*j**2 + 8*j**3 + 22*j**3 - 15*j**4 - 10*j.\nAnswer: -5*j*(j - 2)*(j + 1)*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 7*b**2 + 9*b - 13. Let s be q(6). Suppose 0 = -5*l + m + 98, 2*l = -2*m + s + 27. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.123, -7, 8 in decreasing order.\nAnswer: 8, 0.123, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*u + 77*u - 27*u - 27*u - 189*u**2.\nAnswer: -189*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 57.88259km?\nAnswer: 57882590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 42?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290*0.06.\nAnswer: -17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3515 (base 8) to base 6\nAnswer: 12353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 19. Factor -7*k**4 - k**4 - b*k**3 - 25*k**2 + 1 - k**5 - 9 - 13*k**2 - 28*k.\nAnswer: -(k + 1)**2*(k + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.083, -22, -2\/29?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*a**4 - 1888*a**3 - 1890*a**3 - 4 + 3778*a**3 - 19*a to the form f*a + n*a**4 + w*a**3 + v*a**2 + k and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44562197581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*d - 4*d. Which is smaller: d or -4\/45?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(5 + -2) - (-728)\/39. Sort 4, -1, 1, n in decreasing order.\nAnswer: n, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 - -8 - 17 - -15. Let t be 12\/(-15)*-1*20. Let m = 48 - t. What is the greatest common factor of p and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244868*z - 244872*z + 4*n + 4 = 0, 5*n = -6*z - 38 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1327 + 1329. Let y(a) = -a**3 + 3*a**2 - 3*a. Calculate y(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 4*b**2 + 3*b + 2. Let g be v(4). Let w = 9 + 3. Let i = g + w. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 307084.9 litres?\nAnswer: 307084900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 100, 152?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4)\/(12\/(-276))*24. Let v = i + 282. Calculate the smallest common multiple of v and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.28 (b) 2\/61 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14763109, -14763096, -14763083, -14763070, -14763057, -14763044?\n\"Answer: 13*s - 14763122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401302.\nAnswer: 2, 11, 17, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-8 - -10) + 10\/2. Let v(b) = -b**3 + 21*b**2 + 3*b - 50. Let m be v(21). Solve 0 = k*w - 15, 5 + m = -3*f + 2*w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*1993693.\nAnswer: 996846.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 14a?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - p - 2. Let a be n(-2). Let t be 6\/40 + (-1)\/a. What is the closest to 1 in -2\/3, -2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 23 = -5*p, -10*p + f = -6*p - 16. Solve 2*y - 1 - p = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -994*w**2 + 11*w - 3. Let b(o) = -321*o**2 + 4*o - 1. Calculate 11*b(h) - 4*m(h).\nAnswer: 445*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 7:36 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 8*p**3 - 2*p**2 + 4*p**2 + 0*p**3 + 43*p**3 as m*p**3 + v*p**2 + j*p + h and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 47431447 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 22 + 14. Suppose 0 = -4*v - 2*o + 40038, y*o - 50055 = v - 6*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/27*6*(-14089)\/(-4). Let c(m) = n - 14089 + 5*m. Let d(f) = 14*f. Determine c(d(s)).\nAnswer: 70*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h + 4719 = 184*h. Solve h*m = 49*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102230 (base 4) to base 6\nAnswer: -5312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 3*f - 27 = 0, -2*f + 963 = -m + 959 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50305.66km to nanometers.\nAnswer: 50305660000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11699 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1040 (base 5) to base 11.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -44 + 45 + -6*-1*1. What is the derivative of 69*y**2 - 12*y**2 - h - 15 - 14 wrt y?\nAnswer: 114*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * 6723.\nAnswer: -8067.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 376 = v + 2*v, k - 236 = -2*v. Let c(g) = g**3 + 187*g**2 - 448*g - 13206. Let n be c(-189). Calculate the highest common divisor of n and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.771521 days in nanoseconds?\nAnswer: 153059414400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -45493*h + 17059882. Calculate k(375).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/(-60))\/((-2)\/(-225)). Suppose r = 4*r + c. Let y be (r\/(-12))\/(1\/2). Solve -v = -i, y*i - 3*i = -v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -0.6. Let g = 69 + -74. Which is the nearest to 2? (a) g (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 + 83. Let z = 19 + m. Find the third derivative of 16*b**2 - z*b**6 + 0*b**2 + 32*b**6 - 4*b**2 wrt b.\nAnswer: 3600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*q, -4*q = -s + q + 17. Suppose -5*j = 3*a - 1273, s*a - 4*j - j - 882 = 0. List the prime factors of a.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187558.\nAnswer: 2, 7, 13397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 306 = 2*b - 63, 5*r = 5*b + 570. Let p be (-1)\/(-4) - b\/4. Suppose 0*j = -3*j + p. Calculate the lowest common multiple of 8 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, o: 2, a: 5, e: 3}. What is prob of sequence aw?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425 = -429*d + 434*d. What is the remainder when 1613 is divided by d?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 70985967 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 5*n**2 - 5*n**2)*(-2 - 11 - 2).\nAnswer: 75*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318252382?\nAnswer: 2, 7, 22732313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252224924.\nAnswer: 2, 7, 19, 24953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 - 6*z. Let y(h) be the second derivative of -h**4\/12 + 103*h. Determine s(y(w)).\nAnswer: -2*w**4 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46020 is divided by 1258.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 2*j**5 - j**3 + (j**2 - j**2 - 2*j**2)*(0*j**3 + 0*j**3 - j**3) + 2*j**5 - 3*j**5 - j**5)*(243 - 1128 + 124).\nAnswer: -1522*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -3473\/7298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -314, -390, 14, 1138, 3222?\nAnswer: 6506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 150184 + -207967360.2\nAnswer: -207817176.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**7\/70 + g**4\/12 + g**2 + 4*g. Let q(c) be the first derivative of d(c). Find the second derivative of q(f) wrt f.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-229 - 3*s + 146 + s)*(-2 - 1 + 4)*(1 - 1 - 1 + (2 + 4 - 3)*(3 - 2 - 3)).\nAnswer: 14*s + 581","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -0.2 (b) 5 (c) 2\/7 (d) 1809732 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/143?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 9:06 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1925888142?\nAnswer: 2, 3, 11549, 27793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37700*u**3*z**2 + 13259*u**3 + 148*u - 621*z**4 with respect to z.\nAnswer: -75400*u**3*z - 2484*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/10)\/((-9)\/30). Let m(p) = 4*p + 3. Let j(a) be the second derivative of a**3\/2 + a**2 + 31*a + 3. Determine k*m(g) + 5*j(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 873.137 rounded to the nearest ten?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/56)\/(4\/(-14)). Factor -v - 1\/2*a**2 + a.\nAnswer: -(a - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1\/4, -4\/17, 2, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 10:01 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56595 by -11319.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1600066779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 784753756 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 342*h**3*t**3 + 6*h**3*t**2 + 3470*h*t**3 wrt h?\nAnswer: 2052*h*t**3 + 36*h*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (940\/2)\/(0 + -2). Let j = -469\/2 - t. Which is the third biggest value? (a) j (b) 8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-120))\/(-4*(-20)\/20800)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 904, 897, 884, 865, 840, 809?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 6*l**3 - 15*l - 14*l - l**2 + 33*l - 2 - 4*l**3 in the form y*l**2 + c + b*l + w*l**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -586141 - -64476449\/110. Let k = t - 2\/55. What is the smallest value in 0.2, -1\/8, k?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - 74.05. What is the nearest to i in 0.4, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02 + -4.98. Let y = -2.41 - 1.87. Let v = l - y. What is v rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -11*p**2 + 6*p + 6. Let n(v) = 23*v**2 - 13*v - 13. Let s(k) = k**2 + 4. Let x be s(3). What is x*w(z) + 6*n(z)?\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 10*k - 18. Determine a(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -5 + 9 + 7 + (-7 - -9) + 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (-4 - -7) + (-22876)\/(-1092).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417604 is divided by 1419.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 10*f**2 + 2*f - 1. Let t(y) = y**2 + 1. Let k(q) = r(q) + 2*t(q). Let d = -13 - -7. Is k(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4.3, -75, 0, -5, 1\/4 in increasing order.\nAnswer: -75, -5, -4.3, 0, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/12 - 5\/(-6))*-3 - -6849. Calculate the greatest common divisor of 64 and a.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 76914.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 19)*(0*l - 3*l - 36 + 46) to a*l + v and give v.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011111 + 11?\nAnswer: -110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzvzvvmzmzvzvzzvvzz. What is prob of sequence zzt?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o = -3*o - 4438. Suppose -o - 259 = -8*w. Calculate the smallest common multiple of w and 189.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329171, -328986, -328801, -328616, -328431?\nAnswer: -328246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1326 + 2753. Suppose 2*m - l = -347. What is m rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5, -74, 0, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14097 = -25*x - 8153. Round x to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82751903, 165503808, 248255713, 331007618, 413759523?\nAnswer: 496511428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + g + 3)*(-16 + 9 + 97) to y + t*g and give t.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1289, 2577, 3865, 5153?\n\"Answer: 1288*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13\/2, 27059, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -121 - 1551611?\nAnswer: -1551732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*m + m. Suppose -21 = 5*t - 2*v, 0*t - 15 = t + m*v. Suppose 16*i = 43*i + 108. Do t and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 8*q**2 - 12*q + 1. Let u be n(9). Let d = -24 - u. Solve d*r = 3*a + 6, r = -r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54137751 is divided by 27068869.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 19245204.\nAnswer: -19245204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (11 + (6 - 17))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 151303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*i**2 + 9 + 2*i**3 - 32*i**2 + 4*i + 70*i**2 to f*i**2 + m*i**3 + p + z*i and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 1) + 3 - -2. Suppose 0*c + 3*w - 2 = 2*c, a*c - 5*w = 5. Put c, 4, -3 in ascending order.\nAnswer: -3, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 2*d**2 - 5*d - 2. Let h be m(5). What is the highest common divisor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*5*(-3)\/(-60)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19077?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**6\/20 + 3*w**5\/8 - w**4 + w**3 - 12*w. Let y(m) = 0. Calculate m.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10345858, -10345857, -10345856, -10345855, -10345854?\n\"Answer: y - 10345859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 = 6*l - l + 2*a, 4*a + 145 = 3*l. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2, 35.91?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwwwwwwmwwww. Give prob of sequence wmm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-9)\/(-15) - (-120)\/(-150)) + (-208)\/(-210) and 2\/497.\nAnswer: 7455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**6\/60 - r**5\/20 - r**4\/12 - r**3\/6 + 2*r**2. Let k(l) = l**2 - 6*l - 4. Let u be k(7). What is the tens digit of z(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(637) + sqrt(637) + -1 + 5)**2*6*-5*-2 + 1.\nAnswer: 10080*sqrt(13) + 155041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 3*z + 3*z)*(3*z**2 + 2*z**3 - 3*z**2) - 17*z**5 + 19*z**5 - 10*z**5 + (-2*z**3 + z**3 - z**3)*(0*z**2 + 3*z**2 - z**2) - 12 + 12 - 7*z**5.\nAnswer: -21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**2\/2 + 3*a. Let j(v) = 2*v. Let s(y) = y - 3. Let w be s(4). Calculate w*j(r) - b(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j. Let n(d) = -4*d + 138. Let q be n(30). Let x(r) = 28*r - q*r - 11*r. Give 6*t(f) + 17*x(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21248 is divided by 19880?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 11. Let r(c) = 0*c**2 - d*c**2 + 6*c**2. Let y(j) = 6*j**2. Give y(r(b)).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12634, -25263, -37896, -50533?\n\"Answer: -2*n**2 - 12623*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4691299?\nAnswer: 401, 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.1 - -2. Suppose 5*h - 2*h = 12, -4*w = 4*h. Which is the closest to d? (a) -5 (b) 3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -240431*z - 693. Let i(j) = 2*j. What is r(i(g))?\nAnswer: -480862*g - 693","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1462\/255 - 68\/(-255))*(-1)\/(-21)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13185490546+1775\nAnswer: 13185492321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = -3*h + 11, 5*z - 25 = -5*h. Which is bigger: 5\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281594472 to the nearest integer?\nAnswer: 16781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffs when three letters picked without replacement from xsffd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = l + 18, 2*s + l = -49 + 63 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 10:01 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/125 - 31\/375. Let b = z - 2\/15. Sort 4, -1\/3, -2, b.\nAnswer: -2, -1\/3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (282 + 171 - 206 + (-3 + 2 - 2)*(2 + 3 - 3))*(z + 5*z - 3*z)*(-3*z + 6*z + 0*z) in the form a*z + v + j*z**2 and give j.\nAnswer: 2169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 196*v - 443. Let t(f) = 98*f - 220. Let w(u) = 9*t(u) - 4*x(u). Differentiate w(b) wrt b.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 3 - 6197*f**3 + 6296*f**3 to a + p*f**2 + s*f**3 + w*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*(sqrt(144) + sqrt(9)))\/(sqrt(243) - (sqrt(243) + (sqrt(243) + (sqrt(243) - (1*sqrt(243) + sqrt(243) - sqrt(243)))*6 + sqrt(243) - sqrt(243)))).\nAnswer: 50*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876351540 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 3*w - 4. Let x(i) = i**2 - 1. Let f(s) = u(s) - 2*x(s). Calculate f(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -3. Let q = 0.8 + z. Let d = 0.19999968 + q. Round d to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnggnnnhbb. Give prob of sequence hn.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 + -19.3. Let a = v - -20.9985. Round a to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 736 and 28568576.\nAnswer: 28568576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 1055?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.5, -2\/9, -82, 1720?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t - 69 - 3*t + 41 - 3*t. Calculate the least common multiple of o(-12) and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 2*k**2 + 4*k**2)*(0*k**2 + 0*k**2 + k**2) + (15*k**3 + 26*k**3 + 2 - 3*k**3)*(0 - 1 - 1)*(-1 + 1 - 2*k)*(2 + 0 + 0).\nAnswer: 305*k**4 + 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 564 = -5*l + 3*h, 150 = l + 3*h. Let g(n) = 17*n**2 - 87*n + 2. Let z be g(6). What is the highest common factor of z and l?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40777048 or -40777036?\nAnswer: -40777036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 2*f**2 - f**2)*(2*f - 13 - 21 - 15).\nAnswer: 2*f**3 - 49*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*32697\nAnswer: 16348.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**2*s - 2581*d**2 + 75*s**2 - 2*s wrt s?\nAnswer: -d**2 + 150*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w**5 + 63*w**4 + 60*w**3 - 36*w**2 - 48*w = 0 for w.\nAnswer: -2, -1, 0, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.4 (b) -8 (c) 2 (d) 6.2 (e) -6401\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -17*u**3\/3 - 7*u**2\/2 - 7*u - 48. Let v(o) = -9*o**2 - 4*o - 4. What is -4*i(p) + 7*v(p)?\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2668*x = -3*b - 2664*x - 5, b + 2*x + 5 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 30 (b) 1\/9 (c) 4 (d) 1\/30 (e) -603\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 160 - 157. Let n(d) be the third derivative of 0*d - 7*d**2 + 1\/8*d**4 + 0*d**x + 0 + 1\/30*d**5. Calculate n(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/10))**(-14)\/((w*(w\/((w\/(w*w**(-18)))\/w))\/w)\/(w\/w**(3\/22))) assuming w is positive.\nAnswer: w**(2317\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.61 times -262131?\nAnswer: 684161.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-276)\/(-52)*31746\/(-2442).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367452, 734905, 1102358, 1469811, 1837264, 2204717?\nAnswer: 2572170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77 - -54. Let c = m - -28. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {o: 1, r: 4, h: 2, l: 1, a: 1, m: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -11*n**2 + 216*n + 10*n**2 - 215*n. Let c(x) = 7*x**2 - 6*x + 8. Calculate -c(w) - 6*p(w).\nAnswer: -w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 9*a - 3. Suppose -3*k + 56 = -10*k. Let w be k - 2 - -14 - (-6)\/2. Give z(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by -5?\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 10*u + 2014716 = 2014952, 4*b = -u - 20 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**2 + 5424 - 5426 - 2*t**2 + 8*t - 7*t. Calculate v(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 12\/180517?\nAnswer: 12\/180517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 10853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)\/n**(1\/13))\/(n**(-2\/7))**(1\/25) assuming n is positive.\nAnswer: n**(-13799\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 1\/6*c**3 + 0 - 24*c + 1\/12*c**4 - 1\/2*c**2. What is r(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21675 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*k**5 - 25790*k**4 - 3185920*k**3 - 38299200*k**2 - 160001280*k - 224570880 = 0.\nAnswer: -228, -54\/11, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 36. Let v = t + -25. Let u(n) = -n**3 - 7*n**2 + 6*n - 10. Let y be u(v). Solve 0 = -2*s + 5*z - 31, y*s - z + 14 = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 19 = j - 9, -r = 2*j - 41. Let s = j + -17. Solve 0 = -s*o + 3*x - 2 - 2, -4*o + x - 18 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -13. Let r = -16 - -21. Solve -r*d + 4 = -m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2)*(5*p**2 - 2*p**2 - 4*p**2) + 15*p**2 - p**2 - 4*p**2 + (-6*p + 5*p + 7*p)*(-7*p + 2*p + 3*p) as a + o*p + w*p**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -131.\nAnswer: 7.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 4*w - 3. Let t be s(-1). Suppose -4*v + 0*u + 14 = -3*u, t*v = 3*u + 12. Suppose -v*r = c - 7, -3*r + 2 = -r. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 1. Let l be n(-9). Suppose 2 = w - l. Calculate the remainder when 27 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 7*k**2 + 9*k - 9. Let y be s(6). Suppose 5*q - y = 4*u, 3*u - 2*q + 6 = -6. Let c = u - -9. Solve 0*t - 15 = c*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 5*l - 6. Let u be g(6). Let n(c) = -150*c - 9163. Let d be n(-61). Sort u, d, 3 in descending order.\nAnswer: 3, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/40 - 4\/10 - 22*(-71)\/781.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2084 + 373545415.\nAnswer: 373545414.7916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, l: 6, w: 7, k: 1}. What is prob of sequence kxll?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 21*u**3 + 2*u**2 + 2*u - 10. What is the remainder when h(2) is divided by 59?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5778 is divided by 652?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18846)\/90 - 2\/(-5). Let m = g + 317. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 i, and 1 w when four letters picked without replacement from {b: 1, p: 5, r: 1, w: 1, i: 4, q: 7}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) - -1*sqrt(228))*1)\/(sqrt(972)*-2))**2.\nAnswer: 19\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5223 + 5225. Solve -2*i - 16 = 2*a, -4 = 2*a - u*i - 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2936288687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -15707640*0.4\nAnswer: -6283056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 222*(3\/5 + 14\/35). Let f be (5 + d\/(-15))\/((-1)\/5). Let c(v) = -63*v**2 - 49*v. Let u(i) = 4*i**2 + 3*i. What is f*u(b) + 3*c(b)?\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**4 + 3*i**4 - 2*i**4 + 3 - 3 - i**4 + (2*i**3 - 3*i**3 + 2*i**3)*(3*i + i - 2*i).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 56*s**3\/3 + 69*s**2 + 233*s. What is the first derivative of l(y) wrt y?\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2500969 and 61.1519.\nAnswer: -2500907.8481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**3 - d**2 + 1. Let s be y(-1). Let x = s + 6. Let q = 2 - -1. Put -4, q, x in decreasing order.\nAnswer: q, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.173 * -3.\nAnswer: 0.519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h = 13*h + 20*h - 192. Factor -10\/7*s**4 + 2\/7*s**5 + 18\/7*s**h - 2*s**2 + 0 + 4\/7*s.\nAnswer: 2*s*(s - 2)*(s - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/(i*i**(-7))*((((i**3\/i*i)\/i)\/i)\/i)**(-18))**34 assuming i is positive.\nAnswer: i**204","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 8*d**2 + 15*d + 6. Let u(f) = 804*f + 7246. Let x be u(-9). Calculate c(x).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 i when four letters picked without replacement from {v: 2, y: 13, i: 3}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 3*h**2 + h - 3. Let f be ((-240)\/(-72))\/((-2)\/(-3)). Suppose t + 5*m - 7 = 5*t, 0 = 2*t + f*m + 11. Give u(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 648*c**2 + 73 + 717*c**2 + 1778*c - 73 wrt c?\nAnswer: 2730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1773, -1775, -1777?\n\"Answer: -2*u - 1771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 2*d + 15, 0 = y + 706*d - 703*d + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/66 and 49\/297?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4894844.\nAnswer: 2, 17, 71983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/336, -3.\nAnswer: -3, 1\/336, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 18*l + 122. Let x be f(54). Suppose -h - 1645 = -3*i, 2*h + x = 9*i - 7*i. What are the prime factors of i?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1480, -184, -3 in descending order.\nAnswer: -3, -184, -1480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 141415551 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -375*s + 10 + 390*s - 1 - 16 + 5. Determine o(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.58 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 9.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001898515361 to 7 dps.\nAnswer: 0.0001899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -1388014?\nAnswer: -1388013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 78, 58, 38?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1260 - 88\/16*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**5\/90 + 2*f**4\/27 - f**3\/9 - 8*f. Factor k(j).\nAnswer: -2*j*(j - 3)*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Determine d(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 398202 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -988\/11 at least as big as -91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 0 - 1\/480*t**6 - 2*t**2 - 1\/120*t**5 + 0*t + 0*t**4 + 0*t**3. Suppose x(g) = 0. Calculate g.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1244 - 1179. What is the remainder when 231 is divided by q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-477)\/(-12) - (-15)\/(-20). Suppose -t = -z + q, 5*t + 74 = 4*z - 87. Calculate the remainder when z is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58699 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92*1705.\nAnswer: 156860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -2 - (11 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 1:00 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/18 and 11\/132*582\/(-4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(5\/3)\/(h**(-1\/5)*h)*(h\/h**6)\/h**0)**34 assuming h is positive.\nAnswer: h**(-2108\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5478 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -2, -295, 0.124, -0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1636 = 12*h - 472*h + 14056 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.8, 1, 2, -6?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*42.2.\nAnswer: 1392.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t - 4. Let b(g) = -6*g + 4. Let i(m) = -4*b(m) - 5*d(m). Let s be i(-5). Suppose 0 = -a + 11 - s. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1456 + 1456.1. Which is the nearest to 0.4? (a) 3 (b) m (c) 0.2 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/2 and -2*4\/(-10)*6\/(-208).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/2 of a millimeter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -767 + 776. Let t be (-4 - 0\/(-2))*-22. Let d = t - b. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 5 + -1 + 2. What is the third derivative of 6*u**2 - 3*u**i + u**2 - 6*u**2 wrt u?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11201 (base 4) to base 16.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 9*v + 2*u = 6, 4*u - 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949770878?\nAnswer: 2, 7, 23, 241, 12239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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 k be ((-10)\/(-8))\/5*6. What is the nearest to k in -3, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16226149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18816, -18824, -18832, -18840?\n\"Answer: -8*d - 18808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21861776, -43723549, -65585322, -87447095, -109308868, -131170641?\n\"Answer: -21861773*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63913376*f*m*t**2 - 126*f*t - 3*f + 12083*t**2 + 3 with respect to m.\nAnswer: -63913376*f*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4055 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31138337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/26 - -1) + 533\/169. Suppose -2*u = v*i - 17, -2*u - 3*i = u - 27. Suppose 7*h = u*h. Solve 0 = 2*m - q - 1 - 0, h = m - q + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101810981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9788 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 739953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.00218 - 60.94218. Let m = 62.02 + -0.02. Let u = l + m. What is u rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13788)\/(-158562))\/((-1)\/(-3)*-2)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2 + (-1 + sqrt(700) - sqrt(700)) - (-2*sqrt(700) + 4) - -3*-5*sqrt(700)*-1))**2.\nAnswer: -2380*sqrt(7) + 202349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -402*u**2 - 214*u + 432. What is s(2)?\nAnswer: -1604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 480 * 1\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*k - 246 = -11. Solve -3*g = -k*j - 13, 0 = -g + j - 0*j + 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-14))\/(18\/84). Suppose t + 76 + 18 = c*y, -8 = -4*t. Calculate the remainder when 117 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, o: 15}. What is prob of picking 2 z and 2 o?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/101, 0.4, 5, -3, 2\/9, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 835\/7, 1507\/3, 0.1, -3, 1.\nAnswer: -3, 0.1, 1, 835\/7, 1507\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40241212 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 351 + 297. Suppose 11*v - 234 = -2*v. What is the highest common divisor of j and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.43716673 rounded to two decimal places?\nAnswer: -2.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609 + 591 = 3*k, 2*u - 3*k - 10 = 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 5:38 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.081 - -5079426885?\nAnswer: 5079426887.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1235102, 2470474, 3705844, 4941212, 6176578?\n\"Answer: -s**2 + 1235375*s - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011912 rounded to 7 decimal places?\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 0 - 1\/6*q**4 + 0*q + 0*q**3 - q**2. Let u(n) = -2*n**2 - n**2 + 2*n**2. Calculate u(h(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 5:21 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 8*w - 3*w. Suppose 0 = 2*p - w*p + 12. Solve p*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 303*y**2 + 7497*y + 7803.\nAnswer: 3*(y - 51)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*c - 26055 = -102*c. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 7 = -f + 2*a, f + 3*a = 18. Suppose -4*l - 4 = 3*n + 4, 32 = f*n - 4*l. Suppose -2*d = -2*u - 2*u - 2, -n*u = -5*d + 17. Solve 3 = x - u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*w - 396, -2*a + 10*w = 9*w - 264. Calculate the remainder when 525 is divided by ((-16)\/48)\/((-2)\/a).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5865 + -3670. Suppose 4*h - v = 5*y + 1780, 2*y = h - 993. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2. Let k(s) = 2*s**2. Let u(t) = 5*t**2. Let y(x) = 11*k(x) - 4*u(x). Determine y(r(m)).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - v + 2*v = -5, 5*v + 25 = -2*x. Which is the closest to 0.07? (a) x (b) -2\/17 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34.9 in -5, -4\/3, 1, 4, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 at most 2\/5115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12223504 (base 7) in base 5?\nAnswer: -240123120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*z - 150, -13 + 5 = -4*y. What is the remainder when z is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937751283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -65*s**2 - 993*s - 231. Determine n(-15).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/61 + 113\/183. Let a = 101 + -1109\/11. What is the second biggest value in a, 1\/4, l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 81985931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(224)*3 + sqrt(224) - sqrt(224) - sqrt(224))\/sqrt(8))\/(sqrt(24)\/(sqrt(6) + sqrt(18)\/sqrt(3))).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzmlhzmjzjlzlz. Give prob of picking 1 l, 1 h, and 2 j.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 30 = -2*d. Solve 4*o + 4*h = h + 4, 3*h - 2 = -d*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -897.99999467 + 898. Round c to 7 decimal places.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -995279324.\nAnswer: -995279327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -132, -553, -1256, -2241, -3508?\n\"Answer: -141*h**2 + 2*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/1036057 or 0?\nAnswer: -24\/1036057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (592\/(-592))\/(2 + -1 - 4). Sort -2\/11, f, -2\/5, 8, 5.\nAnswer: -2\/5, -2\/11, f, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 131521179.\nAnswer: -52608471.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27897152 is divided by 27896968.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715 is divided by 258?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5304 divided by 1768.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33237218600.0006806 + -33237221559. Let j = -2959 - c. What is j rounded to 5 decimal places?\nAnswer: -0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 975 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 closest to 20 in 0, -0.02, 3, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2176 and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 9:36 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 take away -96?\nAnswer: 93.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, -17, 5, 653, -2 in descending order.\nAnswer: 653, 5, -2, -17, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 569 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10, -59, -49, 7 in descending order.\nAnswer: 7, 0, -10, -49, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v + 15. Let f(r) = -4*r + 8. Determine 5*f(m) - 3*x(m).\nAnswer: m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 2)*(-2)\/(-4). Suppose -404 = -109*z + 104 - 72. Suppose a = -z*v + 4*s + 328, 5*v + 0*s = -5*s + 370. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 27*w**2 - 372*w - 6624 = 0.\nAnswer: -92\/9, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -587302 + 3?\nAnswer: -587288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 88. What is u rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + -45. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a day?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -3, 21\/5, -16, 4, 2\/5 in ascending order.\nAnswer: -16, -3, -3\/2, 2\/5, 4, 21\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3860*p**3 + 26*p**2 - 32*p wrt p.\nAnswer: 23160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16007\/3762 + 98\/171. Let u be -2 + 2\/((-2)\/(-3)). What is the common denominator of s and 4\/(72\/169) - u?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -21. Solve -n*r - 11 = 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000035301 to seven decimal places.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -347, -6228, -2, 0 in descending order.\nAnswer: 0, -2, -347, -6228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 106469 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 4 (b) -0.5 (c) -1283\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86918.97 years to millennia.\nAnswer: 86.91897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 484 and 168?\nAnswer: 20328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4 + 14 + 1 + 2 + 3529*y - 3526*y. What is o(5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 4, 26, 58, 100, 152?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -12*h**3 - 3*h**2 - 2*h. Let o be r(-1). Let v(p) = -10*p**2 - p. Let m be v(-1). Is (-71)\/(-1) - (o + m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 205*f + 2909. What is g(-15)?\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.938 - 1.74. Let k = b + -0.248. Which is smaller: -4 or k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 2. Let t be l(-2). Solve t*s = -s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l**2 + 0*l**2 + 3*l**2)*(-6 + 6 - 7*l) - 2*l**3 - 4*l**3 + 5*l**3 to the form s + o*l**2 + r*l**3 + h*l and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 14 (c) -5\/28 (d) 0.4 (e) -4\/7 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**5\/30 + j**4\/6 - j**3\/3 - 12*j**2. Suppose -12 = -p - 2*s, 2*p + 6*s - 4 = 7*s. What is f(p)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + -3 + sqrt(3) + sqrt(3) - (4 + sqrt(3) + (sqrt(3) - sqrt(48)))).\nAnswer: -12 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-6))\/((-9)\/(-135)). Let o(y) = -2*y**2 - 3*y + 1. Let x be o(-1). Solve 15 = -x*z + r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (29 - -22) - (1 - -12) - 14.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wwwwwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002479652475 to five dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t + 5. Determine j(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**5 + 159*p**4 - 1287*p**3 - 11175*p**2 + 119400*p - 265500 = 0.\nAnswer: -59, -10, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 4 (c) -99 (d) -1\/85 (e) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -849.\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12 and 12999.\nAnswer: 12987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 151 - 200.2. Let j = 49 + m. Which is the third smallest value? (a) 2\/13 (b) 2\/7 (c) j (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175*o**2*v**3 - 169*o**2 + 2*v**3 + v**2 - v wrt v.\nAnswer: -1050*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (207\/(-9))\/((-73)\/(-219))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 + 6*u - 5. Let a be v(5). Let n = 30 + a. Find the third derivative of -40*o**5 + 7*o**2 + 40*o**n + o**6 wrt o.\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*g = -8, 5*n + 0 - 21 = -4*g. Suppose 5*o + 1 = 11. Suppose -4*x - 41 = -5*w, -o*x - 37 = -n*w + x. Is w greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -1311031?\nAnswer: 1311032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 49. Suppose w*o + 3 - 27 = 0. Let m(u) = -u**2 - 2. Calculate m(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 220 = -3*l. Let r = l + -38. What is the highest common factor of 17 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6.1 (b) 2\/25 (c) 2\/11 (d) 1 (e) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 318*z**2 + 1650*z - 85. Calculate t(5).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 18 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 176 = -5*m - u, 8 = -4*u. Solve -42*q + m*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rereeeeeeeeeeere.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 11*h**2 + 14*h - 22. Give s(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -3*j**4\/4 + 2*j**3\/3 - j**2 - 2*j + 17. Let i(r) = 10*r**3 - 7*r**2 + 7*r + 7. Determine -14*f(s) - 4*i(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 7:50 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2. Let w(l) = 550*l. Calculate w(i(z)).\nAnswer: -1100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q - 4. Let o be 1*-3*8\/(-6)*-1. Let u(z) be the second derivative of 4*z**3 + 11*z**2\/2 - 68*z. What is o*u(l) - 11*i(l)?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + -40. Let r = c - -96. Let a = r - 14. Calculate the remainder when 54 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, z: 1, h: 2, s: 2, v: 3, e: 1}. What is prob of picking 1 e and 1 z?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 24, 1 in decreasing order.\nAnswer: 24, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -751*x**2 + 71*x**2 - 225*x**2 - 569*x**2.\nAnswer: -1474*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0, -1\/2, -0.18, -4?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80766 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*k + 34 = 0, -2*k + 20 = -3*d - 4*k. Let z be 1 + -3 - d\/2. Suppose -j + 13 = 2*a, 4*a - 3*j = z*a + 9. What is a rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 58\/5 - (-2)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1245756285.\nAnswer: 3, 5, 27683473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 n, and 1 p when three letters picked without replacement from {z: 1, l: 2, o: 2, d: 1, p: 4, n: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5904 + -5906. Which is the closest to f? (a) -4.3 (b) -1 (c) -4 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 11*y**4\/24 + 77*y**2\/2 - 22*y. Let u(z) be the first derivative of k(z). Let s(m) = -10*m. What is s(u(f))?\nAnswer: -110*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -1386551.\nAnswer: -8\/1386551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 121201200 (base 3) to base 8\nAnswer: 27643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 267214 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 955243.8 nanometers to micrometers.\nAnswer: 955.2438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -25, -4*s - 4*o + 0*o - 8 = 0. Suppose -s*j + 0*j = v - 21, 4*v = 5*j - 1. What is the highest common divisor of v and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 6*k**2 - 9*k + 6 + 5*k**2 - 2. Calculate f(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 13*t**2 - 3*t + 20. Let r(j) = 18*j**2 - 4*j + 19. Give 3*a(d) - 2*r(d).\nAnswer: 3*d**2 - d + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 9:05 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 66. Let d = o + -25.99999852. Round d to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Let g(b) = b**2 - 2*b + 3. Let j be g(2). What is the derivative of -z*x**3 + 0 - x**j + 2 wrt x?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*l + 174*l - 49*l + 160*l as c*l + o and give c.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, w: 3, a: 2, k: 2}. Give prob of picking 1 y and 1 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 + 3*v**2 + 3*v**2 + 134*v - v**2 - 134*v + (3*v - 4*v + 0*v)*(v + 2*v - 2*v) as f + r*v + c*v**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1))**(-27\/7) assuming i is positive.\nAnswer: i**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 9*h - 17. Calculate m(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*h - 3*h + 12 = 0, 3*n - 4*h - 21 = 0. Let s = 13.6 - 8.6. Let z = -55 - -383\/7. Which is the fourth biggest value? (a) n (b) z (c) s (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -c. Suppose 7*u - 12 = 4*u. Suppose u*d = 2*d + c. Which is smaller: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 14*k**2 + 7*k - 53. Give h(-13).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280, 550, 1288, 2728, 5104, 8650, 13600?\nAnswer: 20188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17 from 259239.\nAnswer: 259256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -22, -22, -36, -70, -130, -222?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16842 + 16235. Which is the fourth smallest value? (a) s (b) 2\/15 (c) -0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 + 4*j\/3 + 2.\nAnswer: -2*(j - 3)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 32c9 + -aa7?\nAnswer: 2522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 537?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0682771 times -0.3?\nAnswer: -0.02048313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 = -2*w + w, -h = 5*w + 5. Let c(l) = -4 - 5 - l + w. Let j be c(-11). Solve 0*y = j*y + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1735 divide 470775833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -3) + 3 - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -v - 2*z, -43 = 6*v - 11*v + 9*z. Which is greater: -228\/43 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8*g. Let f(c) = 24*c. Let x(i) = 3*f(i) + 8*s(i). Let y(n) = 33*n. Calculate 21*x(d) - 5*y(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*2*2)**2.\nAnswer: 8624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-16)*x**29)\/(x*x**(-29)*x)**(-6\/11) assuming x is positive.\nAnswer: x**(-19\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234887?\nAnswer: 31, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -w - 11, -6*w + 7*w = 3*s + 13 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 66.381 and 0.2.\nAnswer: 66.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 x when three letters picked without replacement from {s: 8, i: 7, k: 1, x: 2}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102 + 101.5. Which is the closest to -1\/5? (a) o (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.692 in 0.4, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/218754 and -107\/36.\nAnswer: 437508","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1984902 and 222.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 + 2*d**4 + d**4)*(60 - 44*d - 60).\nAnswer: -88*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135125779*b**3 - 38022*b**2 + b + 1.\nAnswer: 810754674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 28, 35, 54, 91, 152, 243, 370?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -1023, -2482, -4535, -7188?\nAnswer: -10447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4423.\nAnswer: 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from sxbxjxssssssxsbss.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 0.79755?\nAnswer: -7.9755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3329657 is divided by 254.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 10. Let c be -1*3 + (3 - -10). Let r be h(c). Let j be 0 + r - (-3)\/1. Calculate the greatest common divisor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 6 + 4*w + 8*w - w. Let j be m(10). Suppose n = j*n - 12. Solve 4*c = n*o + 32, 3*c + 1 = o - 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 483 - 460. Differentiate -39145*c - 185*c**2 - w + 39145*c wrt c.\nAnswer: -370*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163204255 is divided by 960025.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 84\/5 in -0.2, 0, 352, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**3 - 2*o**2 - o - 2. Let k be x(2). Let p = 0 - -6. Suppose z = -p + k. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -5 (c) -1\/5 (d) 2 (e) -0.0242\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 125.5 + 19.5. Let v = j - 145.38. Round v to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-35)\/7)\/(-5)*(-3 + 3 - -5). What is the fifth biggest value in 12, 4, b, -11, 4\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6805 by 658.\nAnswer: -6805\/658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 270 + -274. Let d = 11 + -15.5. Let p = -0.5 - d. What is the biggest value in -3, p, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 0, 645, -16.\nAnswer: -16, 0, 61, 645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 772*o - 23*s = 771*o - 93, o + 4*s = 15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = 3*t. Suppose -2*w - 2*r = -8, -t*w + 4*r - 3 = 13. Suppose -l - 25 + 36 = w. What is the smallest common multiple of l and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 10 = -12*p. What is the lowest common multiple of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -18 - (-39 + 15 + 24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**2 + y**2 - 14*y**2 as t*y**2 + m + i*y and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 64, 1\/5768 in decreasing order.\nAnswer: 64, 2\/9, 1\/5768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 9. Suppose -6 = 2*a - r. What is the units digit of (1 + -4)*a\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3799807720?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.61914 * -8.\nAnswer: -116.95312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14018, -14019, -14020, -14021, -14022?\n\"Answer: -t - 14017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1006618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -708*q**2 - 10*q + 10*q + 169*q**2 + 0*q to y*q**2 + x*q + g and give y.\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/6*(-12)\/(-5). Is 1\/g + (-979)\/(-66) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -2, 0.1, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 211*z**6 - 34*z**2 + 3*z wrt z.\nAnswer: 25320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(16*1)*(-12)\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013278181 rounded to seven dps?\nAnswer: -0.0001328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106722 is divided by 121.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-528)\/69)\/(-4) - (-5 - -1 - -6)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*f + 11 = 0, 2*f - f = -3*y + 11. Suppose -y = -s + 2. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 25. Let g(x) = -5*x + a + 0 + 2*x + 17. What is the remainder when g(-11) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r**2 + 93*r + 20. Let t be c(-13). Let v(y) = -3*y + 1. What is v(t)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2886*k - 73186 - 64709 - 57840 = 14943 for k.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12404*v + 406 = 12346*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00485674 rounded to five decimal places?\nAnswer: -0.00486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -419694*f**4 + 541275*f**2?\nAnswer: -10072656*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 24*a**2 + 1\/24*a**4 - 2\/3*a**3 + 0 - 3*a. Calculate o(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2 + 2)*(0*x**2 + 0*x**2 - 2*x**2) - 326*x**2 + 326*x**2 + 31*x**3.\nAnswer: 33*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)\/d*d)**(-30)*d**(-5)\/(d**(-7)\/d)*((d**(-4\/9)*d)\/d**(2\/9))\/((d\/(d*d**0\/d))\/((d\/(d\/(d*d**(-5))))\/d)) assuming d is positive.\nAnswer: d**(172\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27623\/6 + -4617. Calculate the common denominator of 97\/14 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*k - 14 = 0, -6*p + 2*p + 4*k = -8. Suppose p*f + 114 = 6*f. Let y = 23 - 10. What is the remainder when f is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.956 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6434*v - 9797 = -7208*v + 40513 for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6\/19 (b) -1 (c) -0.4 (d) 140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v**2 - 10*v**2 - 10*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46.43 + -2.93. Let z = r - 41.5. Let p = 53 + -264\/5. What is the third biggest value in 0, p, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (212\/152)\/((-132)\/5016).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263906, 263917, 263940, 263975, 264022, 264081?\nAnswer: 264152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 994 + -679. Suppose 35*m = 36*m - k. Is 35 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -181*l**3 + 22*l**2*t + 1645*l**2 + 3*l*t - 2*l - 2119*t + 766 wrt l.\nAnswer: -1086*l + 44*t + 3290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 12 + 1548\/(-126)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2247473091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1505461 + 268064 = 110*c - 35*c. What are the prime factors of c?\nAnswer: 13, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 16*s + 73. What is the tens digit of i(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/66 and 71\/56801838.\nAnswer: 624820218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-3)\/(-4))*9\/18*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 309*j = 311*j + 24, 27 = -5*k - j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4854 is divided by 810?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/1827*-6)\/((-12)\/((-756)\/(-9)))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -14099, 3, 4 in descending order.\nAnswer: 4, 3, -4, -14099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*(sqrt(3900)*2 + sqrt(3900) + sqrt(3900)))\/(sqrt(300) - ((sqrt(300)*1 - sqrt(300))*-2 + sqrt(300) + sqrt(300))).\nAnswer: -5 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**8\/336 + 2*g**7\/105 + 7*g**4\/6 + 2*g**2 - 32*g. What is the second derivative of b(r) wrt r?\nAnswer: 20*r**3 + 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 2. Let h be (4\/3)\/(j\/4677). Let w = h + 31267\/10. Find the common denominator of w and -29\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(1\/3)\/(r\/(r*(r*r*r**2)\/r*r))**(-33) assuming r is positive.\nAnswer: r**(-397\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g**2 - 3*g - 5. Let a be r(9). Suppose 0 = 5*q + 3*q - a. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/5)\/(-3)*110\/264?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559*p - 591*p + 70150 = 0 for p.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 541, 1215, 2431, 4189, 6489, 9331?\n\"Answer: 271*o**2 - 139*o + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13385344 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: -1 divided by -5099977\nAnswer: 1\/5099977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -378.9 times -178.5?\nAnswer: 67633.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p + 6. Let r(b) = b**2 + b + 1. What is a(n) - 4*r(n)?\nAnswer: -4*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -1\/30*q**5 - 2 + 0*q - 1\/12*q**4 + 0*q**3 - q**2. Let a(f) be the second derivative of b(f). Factor a(g).\nAnswer: -2*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30974, -123347, -277318, -492887?\n\"Answer: -30799*k**2 + 24*k - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 207\/15*((-2708)\/(-900) - 0 - 3). Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -468, -1087, -1968, -3117, -4540, -6243?\nAnswer: -8232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 22 = r, 5*r - o = -0*o + 53. Let d = r + -6. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4861 + 0.3861. Are 1730 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1. Let v = j + -3.5. Let k = 0.5 - v. Which is the nearest to 2? (a) k (b) -0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*3\/(-54)*(16 + -19)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 s when three letters picked without replacement from {s: 1, f: 2, e: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 3*w**2 + 3*w - 6*w**2 - 13 as v*w + t*w**2 + y and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2. Let l(c) = 137*c + 588*c - 1564*c. Give r(l(v)).\nAnswer: 703921*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = x + 42 - 64, r + 2*x = 9. Let u be (-4)\/r*(-70)\/28. Solve 5*j - 12 = -g + 5*g, 6 = 4*j - u*g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*c = 101*c - 31255. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 2702 = -142. Calculate the remainder when b is divided by 55.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2\/5*k + 2\/5*k**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 13. Suppose 4*h + 3 = b, 0*h + 5*h = b - 3. Suppose -2*t = b*k - k - 90, 3*t = 5*k + 159. What is the highest common factor of t and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 815151 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 10*a + 8 - 16)*(0*a - 2*a + 3*a)*(29 + 6*a - 29) as d*a**2 + h*a**3 + s*a + y and give h.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**3\/9 + 36*g**2 - 7408*g\/9 + 6400\/3 = 0. What is g?\nAnswer: -100, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -8 - 0. Let w be x\/16 + (-63)\/(-4). What is the greatest common divisor of 32 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 6*u + 8. Calculate z(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91264 by 2.\nAnswer: -45632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 0*1\/(-3). Let j be 56\/10 + w\/(-5). What is the common denominator of 133\/12 and j\/9 + (-226)\/96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3\/4 - 11065*h**2\/2 + 44245*h\/4 - 5530.\nAnswer: 5*(h - 4424)*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Suppose -q*n - 2*n = -8. Solve z + n = 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 9:17 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2050*b - 2251*b + 16683 for b.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v - 2. Let q(k) = 2296*k + 14. Give -2*q(z) - 14*w(z).\nAnswer: -4676*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -7. Let v(m) = m**2 + 5*m + 4. Let n be v(h). Suppose 0 = -q - n*q. Solve -5*l + 3 + 12 = q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10104868219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -97*s - 99. Determine h(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -303*-0.3\nAnswer: 90.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 56284 and 0.03?\nAnswer: 56283.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 12 = -4*x - 4*d, 12*x - 220*d + 232*d = 36 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.024 (b) 1\/3 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by 22137.\nAnswer: -13\/7379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - -139. Let b = 197.9999822 - o. Round b to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173819 = 4*j + q, -109*q + 107*q + 43453 = j. List the prime factors of j.\nAnswer: 3, 5, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*p - 2*p**2 + 10*p)*(1 - 6 + 0).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 240 = -7*m. Let o = -45 + m. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241303444 (base 5) to base 2.\nAnswer: -100010001010000010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4 = 2*y, -4*y - 84*v + 83*v + 8 = 0. Solve -21 - 3 = -4*d - 4*x, 10 = y*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(-3)\/6*-5. Let g = 24 - y. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**2 + 1608*k + 646416 = 0?\nAnswer: -268, 804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7))**(-42)\/(k**(-1)*k\/(k*((k*k\/(k*k\/k**3*k))\/k)\/k)) assuming k is positive.\nAnswer: k**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 44. Let r be z(24). Suppose -2*v - 8 = -0*v + 3*h, v + 2 = -h. Let d be 1\/(-2) + (-5)\/(-2). Solve 4*y - d*j = -18, r*j - 5 = v*y + 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/5 - 29*r\/5 - 20 = 0 for r.\nAnswer: -25, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**5\/20 - 5*h**4\/12 + 2*h**3\/3 + 3*h**2\/2 - 2*h. Suppose -z - 2*z - 4*t - 17 = 0, 3*z - 5*t = 1. Let w = 7 + z. Give q(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 3. Let k be j(-5). Let n be ((-12)\/(-8))\/(1\/2). Suppose 0 = -h - k + n, -h = -3*q + 8. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3)\/(q\/(q**4\/q)))\/(q*q*q*(q**(3\/7)*q*q)\/q*q**(-5\/4)*q))\/(q**(1\/8)*q**(-5\/2)*q*q*(q**(-2\/7))**1) assuming q is positive.\nAnswer: q**(-253\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -2, -398, 7 in decreasing order.\nAnswer: 53, 7, -2, -398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -318*g + 310*g + 336. Calculate the smallest common multiple of g and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5\/((-330)\/(-117144)) + (-6)\/(-66)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18 - -31 - -18) + 9. Solve -w*o + 67*o - 27 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Suppose -5*k = 3*s + o, -5*s + 1 - 6 = -k. What is the second derivative of k*c**4 - 2*c**4 + 3*c - c wrt c?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z. Let l(f) = -27*f - 1. Let t(p) = -15*k(p) - 5*l(p). Is t(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l. Let g be t(-5). Which is smaller: g or 9\/2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56038 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 3:14 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, c: 1, m: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27412 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from ozcoveezzfzo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27565 - 113?\nAnswer: 27452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2, -0.19, 91?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h - 20113 = -226696. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**3 - 10*o**2 + 52. Let i(w) = -w**3 + 1. Let j(p) = -3*i(p) + v(p). Is j(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, u: 1, v: 1, p: 1, x: 1, z: 2}. What is prob of picking 1 u, 1 p, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izzvvididid. Give prob of picking 1 z and 1 v.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63 - 62) + 1 + -3 + (30 - 16) + -51.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*2*5\/4. Suppose 2*b - 5*r = 1, -3*r = 6*b - b - 18. Suppose 5*u - n = 0, -3*u + 3 = -2*j - b*j. Is j greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3784234399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 9. Suppose 109 = 3*w - 4*m - 72, 4*m = -h*w + 259. Calculate the highest common factor of w and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 1 - 5\/2*u**2 - 2*u. Calculate m(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + n - 51, 3*n + 2*n + 9 = 2*a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 145. Suppose 27*f = -720 - 63. Does 58 divide i(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 144 (c) 1358 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12470413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 2*t**3\/3 - 2746. Let p(k) = 1919*k. What is p(a(s))?\nAnswer: 3838*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Let s be 2\/(-8) + (-36)\/(-624). Let y = -14\/39 - s. Which is the nearest to 1? (a) 1\/3 (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -150, -138, -120, -96?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114859 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 747*f + 243*f - 23*f.\nAnswer: 967*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5*v = -3, -k + 11*v = 10*v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/1560200 and 41\/23600?\nAnswer: 184103600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 768.9669 - 769. Let c = i - -0.03310321. Round c to 7 decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5 + 0 = 0. Let f be (-10)\/(-9)*3 - 12\/(-18). Let h be -1 + (-145)\/(-30) - f. Which is bigger: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20933, -20927, -20921, -20915, -20909, -20903?\nAnswer: -20897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -604*y + 150321253 = -393*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 34*o**2 - 5*o + 7. Let w be q(-7). Let s be (-273)\/208*w\/18. Let a = s + 1059\/8. Calculate the common denominator of -23\/14 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*d**2 + 67*d**2 + 207*d**2)*(4*d**2 - 2*d**2 + 0*d**2).\nAnswer: 486*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = 5*a. Let j(q) = -q**2 + 8*q - 3. Let t be j(a). Solve -2*n + t = 5*w, 5*w = 5*n - 10*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 34996026, 69992053, 104988080, 139984107, 174980134, 209976161?\n\"Answer: 34996027*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.765 times -6?\nAnswer: -172.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 621*x + 20916 = 623*x. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**2 + 24*h - 40. Let d = -2 - -10. Let z be g(d). Solve z = -k + 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k**5\/3 - 10426*k**4\/3 + 36774*k**3 - 162998*k**2\/3 + 36664*k\/3 + 8808 = 0.\nAnswer: -2\/7, 1, 9, 734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -201213?\nAnswer: 201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 8:43 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311255 is divided by 297?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-6)\/(-2))\/((-3)\/2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/8)\/(4\/(-16)). What is the smallest common multiple of i + (-5 - (-7 + 3)) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*(-12*h + 34 - 34) to z*h + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 21*w**2 + 18*w + 11. Let o be j(20). Let n = 153 - o. Suppose 5*c - n = 3773. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 221030303123?\nAnswer: -221030303130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**6\/30 + z**5\/12 - 4*z**2. Let j(q) = -6*q**3 + 8*q**2. Give -5*j(r) + 8*y(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27810 - 121.661785.\nAnswer: -27931.661785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122360\/(-1265) - 27\/99?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-378)\/(-2916)*(-105)\/(-140) - ((-38)\/(-18) + -2)\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*a + 6 = -4*a + 9*a, -172 = 4*n - 84*a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*x = 4*q + 13, 0 = 2*x + 10. Suppose -26 = -4*s + 5*g, -3*s + q*g + 22 = 4. Let c = 0 - s. Sort 1, 3, c in decreasing order.\nAnswer: 3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2779845 kilograms to milligrams.\nAnswer: 277984.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474.508km in meters?\nAnswer: 474508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*998.\nAnswer: 12974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -62a6ec (base 16) to base 10\nAnswer: -6465260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(17)*2)**2 - sqrt(17)) + sqrt(17) + 2 + 3.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -120\/29 and 0.3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 34. Suppose -4*j - 6 = s*a, -j = -5*a + 3*j + 13. Calculate the remainder when 4 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 12 + 48 = 0. Suppose 0 = -4*j + 2 + l. Suppose 2*k + 4 = 0, -6*k = -18*n + 15*n + 27. Solve 4*s + v - j*v = 0, -4*v = -3*s - n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -640 smaller than -638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**5\/4 - 21*p**4 - 51*p**3\/2 + 111*p**2 - 261*p\/4 = 0?\nAnswer: -3, 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 2*a + 2*a**4 + (-4*a + 7*a + a)*(a**3 + 0*a**3 - 3*a**3) + 5*a**4 - 8*a**4 + 14*a**4 to w*a**4 + c*a**2 + z*a**3 + h + s*a and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -375*m**4*y - 20634*m**3 - 2564*m**2*y + 2*m*y - 755 wrt m.\nAnswer: -9000*m*y - 123804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u - 10. Give k(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 42*o - 1111. Give p(16).\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339063.\nAnswer: 3, 113021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 1.19?\nAnswer: 2.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*d**2*r**3*x**2 - 2*d**2*r**3*x + 5*d**2*r**2 + 110*d**2*x**2 + 6*d**2*x - r**3*x + 2*r**3 wrt x?\nAnswer: -60*d**2*r**3 + 220*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**3 - 330*k**2 = 0. What is k?\nAnswer: 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (6 + -9)) + (1 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9372 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -25.09. Which is the closest to 0.1? (a) 3\/5 (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.07 - 0.07. What is the fourth smallest value in 4, w, 0.4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2361373 * -1.\nAnswer: 2361373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f - 18 = 3*d, -4*d = f + 13. Suppose 0*q - q = -f. Suppose 0 = q*s - 66 - 66. What is s rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25379 and 15475?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-34)\/(z**(-2\/27)\/z))\/((z**(-40)*z)\/z**10))**(7\/11) assuming z is positive.\nAnswer: z**(3038\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63 - -62)\/(21\/(-9)*5\/(-55)).\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from {e: 1, i: 7, u: 1, s: 3}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10\/7, 0, -5?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 16*j - 5. What is a(15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**2 - 9. Let p(r) = 2*r**2 + 3. Give 2*h(j) + 7*p(j).\nAnswer: 4*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -90005?\nAnswer: 90006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -355*n**3*s**2 - 6*n**3*s - 18*n**2*s**2 - 3*n*s**2 + 1165*s wrt s.\nAnswer: -710*n**3 - 36*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(325)*-2.\nAnswer: -50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2\/3, 665, 3, -0.6 in ascending order.\nAnswer: -2\/3, -0.6, -0.1, 3, 665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001111101101 + 1001001?\nAnswer: 10010000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93\/9 - (-11780)\/570.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0 = 10. Let b be ((-3)\/(-5))\/(r\/(-25)). Suppose -b*a = 3*h - 24, 2*h = -h + 2*a + 4. Which is smaller: 5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + (16 - (1 + (39 - 27))) - -36.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 304 or -0.1?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*x**4 - 12*x**3 + 3*x**2 - 11*x**3 + 22*x**3)*(-9*x + 12*x - 100*x).\nAnswer: 1261*x**5 + 97*x**4 - 291*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 34 = 50. Solve -3*q + p = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)\/u*u)**(2\/43))**(2\/31) assuming u is positive.\nAnswer: u**(-8\/1333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2081*(-6 + -4 + 7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0. List the prime factors of 2\/((4\/(-26))\/z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*k - 24*k - 11*k - 45*k**2 - 19*k**2.\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5171, 5213, 5253, 5291, 5327, 5361?\nAnswer: 5393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 23*k**5\/12 - k**3\/3 + 88*k**2. Let d(o) = 8*o**2. What is s(d(l))?\nAnswer: 7360*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 22*o**3 + 42*o**2 - 41*o. Determine p(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 268 = -0*r - 3*g, g + 522 = 2*r. Let w = r + -156. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61.00000054 - 61. Round u to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100575 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 6*q = 3*q + 2*f + 21, 4*f + 32 = 4*q. Suppose -q*c = -4*c + 4. Calculate the common denominator of 39\/16 and 1196\/(-80) - c\/20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93997507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-2)*(-33)\/99 - 22\/4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0232? (a) -3 (b) -2\/7 (c) -8498\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 9:35 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2148 - -2207. Calculate the greatest common factor of 5959 and a.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, o: 1, x: 2, e: 3}. Give prob of picking 2 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/59202 and -39\/13552?\nAnswer: 36468432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-6) + -8 - (-38)\/20.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20548 + 20541. Let u = 1 - 4. What is the third biggest value in c, u, -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 1.1432.\nAnswer: 0.9432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-1.5458.\nAnswer: 10.8206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {z: 1, b: 2, i: 2, o: 2, x: 1, a: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 3*l + 2. Let b = -19 + 20. Suppose 3*o - o - 5 = c, -2*o - c - b = 0. Suppose 3*w - 7 = -o. Give u(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197946515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-154)\/132*3\/(-14)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/6 and ((-366)\/(-552) - -1) + -1?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.8 (b) -1 (c) 1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959710995\/15732 - (0 - 6\/(-8))?\nAnswer: 53, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Suppose -b + 0 + 5 = o. Suppose -b*y = -2*a - 10*y + 35, -5 = -4*a + 3*y. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 0*t + 1\/60*t**5 + 1 - 1\/8*t**4 - 1\/6*t**3 + 15*t**2. Determine b(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/((-208)\/(-78)))\/(-39))\/(1\/((-8)\/(-4)))?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oofvmfdfmzo. What is prob of picking 1 d and 1 z?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 51.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14, -86, -232, -476, -842?\n\"Answer: -4*h**3 - 13*h**2 - 5*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 3*s + 3. Let h be y(1). What is the closest to 0.1 in -3, h, 12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**4\/12 - 2*x**3\/3 + 3*x**2\/2 + 13*x. Let l be y(2). Calculate the remainder when 41 is divided by (-103)\/(-6) + l\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 7*u**2 - 6*u + 6. Let h be c(-6). Find the second derivative of -3*v - v**4 - h*v + 5*v + 0*v**4 wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 2\/133, 1\/2 in decreasing order.\nAnswer: 1\/2, 2\/133, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 561415457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - j + 2*j + 32 - 30. Let l = -6 - -10. What is b(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 114, 127, 156, 207, 286, 399?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 6\/5*u**3 - 4\/5*u - 2\/5*u**5 + 2\/5*u**2 + 0 - 2\/5*u**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1122\/(-33))\/(-34))\/((-2)\/76).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6705 divided by 5\nAnswer: -1341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268533 + -0.120715?\nAnswer: 2268532.879285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.89 - -34.11. Let z = 0.21 + 33.79. Let j = z - d. Sort j, 5, 0.4 in decreasing order.\nAnswer: 5, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 2. Let x(p) = -65*p + 59. Let o(q) = -6*b(q) - x(q). Differentiate o(i) with respect to i.\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0381586143 rounded to 6 dps?\nAnswer: -0.038159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*(5 + 0 + sqrt(1100)))**2 + (2*sqrt(1100) - sqrt(1100)) + 1 + -1 + -2.\nAnswer: -4502 - 390*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -12*j + 8*j**2 - 139 + 139 - 14*j**3 - 12*j**4. Let d(p) = p**4 + p**3 - p**2 + p. Let y(u) = 44*d(u) + 4*m(u). Solve y(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -1.5. Let f = 0.03069 - -13.46931. Let h = f - o. What is the closest to 0.2 in h, -20, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and -1099 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -c + 4*c. Let r be (-84)\/c + 1\/(-5). What is the units digit of 402\/8 - r\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*t**3 + 48*t**3 + 59*t**3)*(2*t**2 + t**2 - 5*t**2 + (-3*t - 6*t + 0*t)*(-t + 5*t - t)).\nAnswer: -696*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/23 in -1\/5, -3, 0.05, -0.16?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*v + 12, g + 0 = 2*v - 2. Let x be 2 + -1*(1 - 3). Suppose x*w + 33 = -5*b, 0*w - 4*b - 18 = -w. Which is smaller: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*x = -17*x - 15*x - 5*q - 75, 0 = 7*q + 70 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 5, -1, -3, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5 - 11*s**4 - 633*s**3 + 3311*s**2 - 2668*s = 0. What is s?\nAnswer: -23, 0, 1, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166945360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98800545*h + 120475511.\nAnswer: 98800545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(52) - (sqrt(52) + (sqrt(52) + 0)*-5)) + -5)**2 + 3.\nAnswer: -2647 + 200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37\/44 + 1\/11. Let j = 16 - 9. Which is the second biggest value? (a) i (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.9 - -14.9. Which is the third biggest value? (a) 4\/9 (b) 7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 6:17 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4486 divided by -2.\nAnswer: -2243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (6 - (-7 - -13)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309796410 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o = -2*l + 19*o + 2852, -3*o + 7112 = 5*l. Is 71 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 17. Let o be v\/(10\/4 - 2). What is the units digit of 0 + (10 + 3)*o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-2))\/(5 + -3). Suppose 5*k + 171 = z*w, w - k - 112 = -22. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 35001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -6. Let s be (29 + h)\/(5\/2 - 1). What are the prime factors of (4\/2 + -347)*(-8)\/s?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*((1*sqrt(121)*1*5)\/(sqrt(176) + (-1*sqrt(176) - sqrt(176))*-5 - sqrt(176) - sqrt(176)))**2.\nAnswer: 491\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 11*q + 15. Let u be o(-12). Is 12 a factor of u - 24 - (-17 - (-1 - -3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 != -41730.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104563 is divided by 5142?\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*z, 3*n + 6*z + 941 = 5*z. List the prime factors of (-170982)\/n - 8\/10.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12295.85 to the nearest one hundred.\nAnswer: -12300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 - 352\/40)*5. Put k, 2, -3 in decreasing order.\nAnswer: k, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 48. Solve 4*f - z*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -93 + 97. Calculate the smallest common multiple of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1952 and 366.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g\/((g\/(g\/g**(3\/2)))\/g)))*g*g)\/g*g)\/((g*g*g*((g**12*g)\/g)\/g)\/g))\/(g\/(g**(1\/7)*g*g))**(1\/6) assuming g is positive.\nAnswer: g**(-433\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n + 5*f = 25, 4*f = 5*n + 20. Find q, given that q**3 - q**2 + n*q**2 + q**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -369*d - 2707. Let w be x(-8). Solve -2*u = -w + 257 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586 is divided by 236?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(4960\/(-1364))\/(6\/(-22)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -9. Suppose -v = -m + 3*r - 4, -4*m - 4*r = -12. Suppose w - m*o = -1, -w + 12 = 3*w + 4*o. What is the smallest common multiple of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 272 (b) -3 (c) 2\/5 (d) -0.4 (e) 13 (f) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**6*b*b*b)**28 assuming b is positive.\nAnswer: b**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - 13063?\nAnswer: -13071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 31 - (3 - 8\/4). Differentiate 23 - 48 + 3*l + f with respect to l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 + -12 + (93 - 81) + (1 - -2).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b**2 - 19*b**2 - 32*b**2 - 38*b**2 + 112*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218, -840, -1880, -3350, -5262?\nAnswer: -7628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -273695, -273775, -273855?\n\"Answer: -80*i - 273615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12235 + -5354. Let h = -4224 + b. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9015762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -169*m**2 + 3*m + 2. Let d be s(-2). Let i = d + 979. Suppose i = 6*b - 1. 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: Rearrange (-717*i**2 + 2025*i**2 + 763*i**2)*(-3*i - 2*i + 4*i) to the form n*i + z + q*i**3 + b*i**2 and give q.\nAnswer: -2071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174986114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2230 (base 4) to base 5\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 + 113 = -4*g. Let r(n) = -214999*n + 1. Let z(t) = -214999*t. Let v(m) = -4*r(m) + 3*z(m). Let d be v(g). Round d to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbbvxvsxxp. Give prob of picking 1 v and 1 x.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4584*u - 6 - 7 + 31 - 13 - 3 in the form k + m*u and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/2 + -24 + (-14380)\/(-3595)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 609, -367 in descending order.\nAnswer: 609, -20, -367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 4*m**2 - 170*m + 48. Calculate the remainder when y(-14) is divided by 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a\/((a\/(a*a**12*a*a*a))\/a)*a*a*a*(a\/a**(1\/3))\/a assuming a is positive.\nAnswer: a**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/28)\/(951\/951))\/((-12)\/(-182))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 22*m**2 - 2*m - 2. Let q(p) = -21*p**2 + 2*p + 2. Give 5*q(g) + 4*s(g).\nAnswer: -17*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.47, 3, 7, 1.8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -714 - -717. What is the third smallest value in -4, h, -1\/23, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 7*c - 9. Let k(q) = -5*q**2 + 10*q + 20. Let m(s) = -1. Let u(x) = c*k(x) - 5*m(x). What is j in u(j) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 - 69*t**2 + t + 1 + 45*t**4 + 70*t**2 + 8*t**4 in the form g*t + d*t**3 + p + b*t**2 + y*t**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/5933 and 6\/1745.\nAnswer: 29665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 4:57 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfm when three letters picked without replacement from mfbnbbccfcccbbbnbccf.\nAnswer: 7\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66 + 81 - -45) + -70?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 30*o**2 + 14*o + 64. Let c(z) = 6*z**2 + 3*z + 13. Let y(u) = -14*c(u) + 3*r(u). What is the derivative of y(l) wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.044 (b) -3 (c) -1\/5 (d) 5 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1777*b**2 + 5*b + 3. Let g(p) = 887*p**2 + 3*p + 2. What is 3*d(l) - 5*g(l)?\nAnswer: 896*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4993, -4980, -4953, -4906, -4833, -4728, -4585, -4398?\n\"Answer: b**3 + b**2 + 3*b - 4998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100087488*o + 4*o**2 - 100087488*o.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8245)\/(-102) + -19 + 1\/6. Solve i*k - 50 = 37*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*b**3 + 16*b + 30*b - b**4 + 91*b**2 + 33*b**3 + 47*b**3 = 0. Calculate b.\nAnswer: -1, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1816783887 to the power of 1\/3, to the nearest integer?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 667663439 to the nearest integer?\nAnswer: 25839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -463*z = -405*z - 95*z - 338*z - 24750 for z.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -32 - 6 + 9 + 11*p - 18. Let m be o(5). Solve -m*r + 3*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-3\/7)*j))**16*j**(3\/5)*(j*j**(-5\/3))\/j*j assuming j is positive.\nAnswer: j**(713\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdvvggvg. What is prob of sequence gvdd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g = 130 - 40 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239\/13 - ((-28)\/(-13) + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2. Let b = 6452 - 6452. Let y(g) be the third derivative of 0*g - 5\/6*g**4 + b*g**3 - 23*g**2 + 0. Give h(y(k)).\nAnswer: -800*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x = -6*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125 + -12. Let o = z - 72. Let u = 71 - o. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*m + 4. Suppose -3*u = -49 + m. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (10 - (-1)\/((-1)\/4)). Let y(o) = o**2 - o + 2. Calculate y(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1310, -2, 5, -4, 1 in descending order.\nAnswer: 5, 1, -2, -4, -1310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**7\/105 + j**6\/25 - 3*j**5\/50 + j**4\/30 - 6*j**2. Factor a(u).\nAnswer: -2*u*(u - 1)**2*(5*u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22018329 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 333769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*k + 65*k = -56. Let c = -23 - k. Suppose 8115 = -c*j + 20*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44952 - -85103. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 186\/49?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 424+-328644\nAnswer: -328220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88.785*39.\nAnswer: -3462.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t. Let b(o) be the first derivative of 25*o**3\/3 - 115. Determine r(b(n)).\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h. Let q(p) = 4573*p. Determine q(b(g)).\nAnswer: 22865*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 177d2?\nAnswer: -177d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxx when three letters picked without replacement from {x: 4, p: 7}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/(14\/98)*3*(-136)\/714.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 k when three letters picked without replacement from {d: 1, i: 1, u: 1, k: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37d1 (base 14) to base 10.\nAnswer: 9787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 386*h**2. Let n(m) = -9*m**2. Give n(d(c)).\nAnswer: -1340964*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5473565.\nAnswer: 5, 67, 16339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uruuurrrrrrurr?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**9\/252 + i**8\/168 - 151*i**7\/30 - i**5\/12 + i**4\/8 - 47*i**3\/2 - 16*i**2 - 21. Find the third derivative of c(l) wrt l.\nAnswer: -240*l**3 + 120*l**2 - 25368*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q - 12, 0 = -5*f - 4*q - 2. Let k = f - 2. Let r be ((-160000)\/6 - k)*-3. What is r rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703463715.\nAnswer: 3, 5, 3061, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrgygygyyyygryry. Give prob of picking 2 r.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**6\/12 - h**5\/10 - h**4\/24 + h**2. Let d be 66\/(-44) - (-2)\/(-4). Calculate the remainder when b(d) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11558, 11566, 11584, 11618, 11674, 11758, 11876?\nAnswer: 12034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4 = -3*z - 3, -3*z - 3 = 3*j. What is the highest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 0*g + 3\/2*g**2 + 4. Let p(t) = -4*t**2. Calculate v(p(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.24 + 0.3. Suppose -11*x + 74 = -14. Which is the second biggest value? (a) k (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.792, -384, 1\/8, 10\/51, -1\/6 in ascending order.\nAnswer: -384, -1\/6, 1\/8, 10\/51, 0.792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44491 is divided by 53?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 272 - 278. Let k(h) be the first derivative of -h**4\/4 + h**2\/2 - 1. Let x(n) = -7*n**3 - 5*n**2 - 5. Let j(m) = i*k(m) + x(m). Calculate j(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 1586 = 1490 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**6\/60 - d**5\/10 + d**4\/4 - 2*d**3\/3 - 6*d**2. What are the prime factors of b(-5)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**6\/780 + r**4\/52 - 2*r**3\/39 - 7*r**2\/2 + 7*r. Let z(a) be the first derivative of h(a). Factor z(f).\nAnswer: -2*(f - 1)**2*(f + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 times -6869600\nAnswer: -329740800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 17. Let z be q(-7). Let y = 4 - z. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 76090000 to the nearest one million.\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -566*i**4 - 177*i**3 + 931*i + 80?\nAnswer: -6792*i**2 - 1062*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3191912?\nAnswer: 2, 398989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, c: 4, k: 2, a: 2, z: 2}. What is prob of sequence kfac?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1768 and 83928.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3201131 - 1?\nAnswer: -3201132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) - -6*sqrt(147)*4.\nAnswer: 175*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/(-33)*(8\/38)\/4.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1237317*p**3 + 44 - 6*p - 1237315*p**3 + 9*p - 3*p.\nAnswer: 2*p**3 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4074 and 3780?\nAnswer: 366660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -9 + -4 + (-1 - (18 - 33) - 7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 less than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.833 - 0.167. Let y be (-2)\/(-4)*(-8)\/(-10). What is the closest to y in 2, -5, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13974916, 13974922, 13974928?\n\"Answer: 6*h + 13974910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5047936 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 2*m + 32, 3*m + 631 = 628 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 669 + 48*o + 214*o - 669 - 272*o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137240, -137243, -137246?\nAnswer: -137249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 127894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 72971.07mm?\nAnswer: 7297.107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -979658*d**2 + 143052035 wrt d.\nAnswer: -1959316*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 75.\nAnswer: -13\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 g when three letters picked without replacement from {m: 1, r: 4, y: 1, a: 4, g: 10}?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 55391.555651?\nAnswer: 55389.555651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -6*sqrt(242)*3 + (-1*sqrt(242)*4 + sqrt(242) - sqrt(242) - sqrt(242)) + 4)**2.\nAnswer: -4048*sqrt(2) + 128082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 162\/7 (b) -3738 (c) 2\/3 (d) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -20*q**3 + 233*q**2 - 645*q - 153. Give u(3).\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/45, 4, -1, -12, -0.3 in ascending order.\nAnswer: -12, -1, -0.3, 2\/45, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006088 rounded to 6 dps?\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27180460, 27180462, 27180466, 27180472, 27180480, 27180490, 27180502?\n\"Answer: i**2 - i + 27180460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 8*d + 0*d + 7*d + 0*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11780*p**2 + 18317885*p - 23325.\nAnswer: 5*(p + 1555)*(2356*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 x when three letters picked without replacement from {n: 1, i: 1, s: 2, x: 8, p: 6, r: 2}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12 - 5.12. Let l = t + 5. Put l, 0.2, 5 in decreasing order.\nAnswer: 5, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 1\/6, -42?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 321 - 451. Let w = -130.2 - k. What is the third smallest value in -2, w, 10, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 - 188 = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*q = -3934, 2*f = 2*q + 1579 + 2349. Suppose -f = 12*c - 21*c. Which is bigger: c or 217?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 228178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -22)*3\/6. Let x = 103 - 65. Let q = x - j. What is the greatest common divisor of q and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -3, -1, -38, 1, -2 in descending order.\nAnswer: 1, -1, -2, -3, -17, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 16*w**2 - 2*w - 34. Give v(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 7:13 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2204 (base 5) to base 6.\nAnswer: -1224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 6:55 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(-2\/21)*s))**22 assuming s is positive.\nAnswer: s**(506\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**5\/5 - h. Let f(g) = -241*g**3 - 254*g**3 + 539*g**3. Give 32*b(y) - 3*f(y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 35, 5, 46649 in decreasing order.\nAnswer: 46649, 35, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1027722 or 1027725?\nAnswer: 1027722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 = 2*g + 26, -2*g - 10 = 0. Let l(n) = n**2 + 2. Let q be l(0). Suppose -i*z + 14258 = -5*c, q*z = -2*c - z - 5694. Round c to the nearest 100.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12901 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-50)\/140)\/(-5) - 148\/112. Put -2\/19, -82, p in descending order.\nAnswer: -2\/19, p, -82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002561 to six decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 33.5. Put 2\/17, -1, b in descending order.\nAnswer: 2\/17, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n. Suppose j - 12 = -2*m, 24 = 3*j - 5*m - 23. Let b(g) = -3*g**2 + 7*g - j*g + 7*g. Determine s(b(l)).\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 468108680 rounded to the nearest 1000000?\nAnswer: 468000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 24*l**2 + 9*l - 95. Determine s(-24).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9715627 years in months?\nAnswer: 11.6587524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 210 + -139. What are the prime factors of k - 1 - (0 - 1)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.6 (b) -0.3 (c) -3 (d) 1\/119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from ggggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.4 - 17. Let q = b - 1. Let p = 0.1 + 0. Which is bigger: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 0*w**3 - 1\/6*w**6 + 6*w + 0*w**5 + 23 + 3\/2*w**2 + 0*w**4. What is the second derivative of l(f) wrt f?\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56506616*u**3*w**3 + 2*u**3 + 15*u**2*w**2 - 10*u**2 + 23*u + 676 wrt w?\nAnswer: 339039696*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.194 - 4.194. What is the nearest to 2\/15 in -0.3, -3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13 and -38 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1349?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f + 1d6?\nAnswer: 1c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -26*g**2 - 5*g + 210. Let l(z) = 282*z**2 + 54*z - 2268. Let i(f) = -5*l(f) - 54*o(f). Let r(m) = 10*m - 30*m - 4*m. Determine r(i(k)).\nAnswer: 144*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 7 = -3*k - 6, g + 1 = k. Let l be 0 - (-5 - (g + 1)). Factor 2*x + 2*x**5 - l*x**3 - 4*x + x + 3*x.\nAnswer: 2*x*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520990708 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 2*d - 1. Let h be a(-4). Let j be (3\/(-11))\/(h\/(-6)). Put j, -3, 0.3 in ascending order.\nAnswer: -3, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/6)\/(((-27)\/20)\/(-9)). Suppose 5*h - 8 = 10*n - 8*n, -5*n + 3*h + 18 = 0. Solve -b*x + n = -8*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 12*n + 38 - 42)*(2 + 1 - 7).\nAnswer: 48*n - 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -3 + (8 - 9) + -9 - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 22. What is the common denominator of 51\/20 and (k\/(-7))\/(4\/(-27))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002269868495 to seven dps.\nAnswer: 0.0000227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3850633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -23203003?\nAnswer: 23202444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650345.5 kilometers to centimeters.\nAnswer: 65034550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**3\/y)\/y*y\/((y\/(y\/((y\/(y*y\/(y*y**6*y)))\/y*y))*y)\/y))**(2\/11) assuming y is positive.\nAnswer: y**(-10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, k: 1, g: 2, e: 6, n: 2}. Give prob of sequence gjn.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 736 - 731. Suppose 4 + 21 = 4*s + u*i, -1 = -i. Solve 3*h - 1 = q, -12 = -3*h + 5*q + s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (0 + -5 + (-2 - -16))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, v: 1, q: 1, h: 3, b: 4, z: 5}. Give prob of sequence ebbb.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -23. Is -526 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*b - o + 15, 12 = 4*o. Suppose m - l = 30 + 9, -116 = -3*m + b*l. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153294853.\nAnswer: 153294853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 190*j + 1. Let t be (-15)\/(-18) - (-3)\/18. Is f(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(121)*4 + sqrt(121))\/(3*sqrt(99)).\nAnswer: -23*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 280*m - 282*m = 6, -3*s + 2*m = 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 22 + 13 - 44 - 2*b. Suppose -6*y = -2*y + 24. Let h be m(y). Solve -3*o - 6 = -h*q, 3*q = 2*o - 0*q + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**5\/30 + 5*w**2 - 2*w. Let n(z) = -31*z + 83*z - 2*z**2 + 48*z. Determine n(u(q)).\nAnswer: -8*q**4 - 200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 306. Let q(w) = -255. Let c(g) = 6*q(g) + 5*r(g). Let p(a) be the third derivative of -101*a**5\/60 - 7*a**2. Determine c(p(o)).\nAnswer: -505*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = y + 2*c, 5 = y + 5*c - 9. Suppose -27*w + 169 = -1073. Suppose -y*p + 3*d = -12, -3*p - 4*d = 2*p - w. What is the remainder when 9 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 1038?\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/(-36))\/((-4)\/(-36)). Let r(y) = y**3 - 4*y**2 - 2*y + 6. Determine r(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85317825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Divide -156794240 by 818.\nAnswer: -191680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*s**4*z - 6*s**4 + 5*s**2*z - 221*z wrt s.\nAnswer: 8*s**3*z - 24*s**3 + 10*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b - j - 888 = -846, 2*b + 7*j = 3*b - 148 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24910*j**2 + 2*j**3 - 24910*j**2.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564\/(-36)*-17*3?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135498 divided by -5\nAnswer: 135498\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5605 = 3*h - 2*q, -q + 2*q = 4*h - 7465. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*d = 3*n + 152*d - 21, -4*n + 5*d = -9. Solve -36 + 18 = n*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, c: 8}. What is prob of sequence mmm?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - ((-4581)\/33 + 6\/(-33)). Let t be l\/((0 - 2) + 3). What is the greatest common divisor of t and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*g, -2*g - 419 = -3*q - 4*g. Suppose -5*y = 31 - q. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3687*n**3 - 7148*n**3 + 3691*n**3 - 12743*n**3.\nAnswer: -19887*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 9*g + 3. Let c be h(9). Let r(o) = 0 + 4*o**2 + c - o**3 + 1 + 1 - o. Let n be r(4). Solve 3*z - n = 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, w: 2, b: 3, s: 3, f: 1, u: 3}. Give prob of picking 1 u and 1 w.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36065*n**4 + 12034*n.\nAnswer: 432780*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 + x + 2*x**2 - x**3 + (-3*x**2 + 4*x**2 + x**2)*(3*x - 2*x + x) to d + y*x**2 + n*x + k*x**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 268 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6937 + -580?\nAnswer: 6357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*t**3 + a**2*t**2 - 18283*a**2*t - 3*a*t**3 - 3051*a*t**2 - a wrt a.\nAnswer: 2*t**3 + 2*t**2 - 36566*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - 9. Let o be k(8). Let g be o\/7 - (-12)\/(-42). Let n(c) = c**3 + 6*c**2 + c - 7. Is n(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2833 - 1539. Let j = 463 + w. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/4 or 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 483734663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -16*u - 60. Calculate the smallest common multiple of 3\/(24\/(-44))*(u + 1) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2858676 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 7 - a + 2\/3*a**3 + 0*a**2. Find the first derivative of z(u) wrt u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 6 = 24. Let y be ((-39)\/(-15) - 2) + 3487\/55. Suppose 0 = 5*r + 24 - y. Is r less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 233 (base 4) to base 16\nAnswer: 2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 11. Suppose 0 = 5*y - 0*y - 15. Let v(x) = -z*x - y - 2*x + 2*x + 9. Give v(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4253327.\nAnswer: 13, 327179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x + 7 + 0*x - x - x to the form a*x + n and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5)*(-4765)\/(-7624)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 967.3296 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -491*k - 141. Let r be i(-8). Let s = -2633 + r. What are the prime factors of s?\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 26 - 51. Solve -9 = 2*z + 5*o - 19, 0 = -5*z - u*o - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/12 and -65\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 12*y**2 + 15*y - 24. Let i be k(13). Suppose 0 = i*f - 2 - 4. Solve 2*d = -l - 2*d - 9, 5*d = f*l + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 5*l**2 + 42*l + 5. What is the remainder when p(-10) is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**5\/60 - 33*s**2 + 2. Let o(l) = -1067*l. Give z(o(d)).\nAnswer: -1138489*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 1\/4 (c) 1\/8 (d) 3 (e) 22 (f) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 4*b**2 + 3*b - 11. What is the tens digit of t(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 12 - 333*o - 395*o + 247*o in the form r + h*o and give h.\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 340*q = 345*q - 55, 3*q = -6*g - 66 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**4\/12 - b**3 + 6*b**2 - b. Let r be (-72)\/10 - (-1)\/5. Let i be u(r). Solve -i = v - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*g + 22299420*g**2 - 59*g - 22299273*g**2 - 56*g.\nAnswer: 147*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55911199*y**3 + 56756577 wrt y.\nAnswer: -167733597*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00036182 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 432 = 5*s. Suppose -r + 13*r = -s. Let k = -46229\/2802 - 2\/1401. Is k > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -170 - 1866?\nAnswer: -2146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207460 is divided by 3052?\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**3 - 99*f**2 + 642*f - 46. Determine k(24).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1848, -0.4, -0.038, 0?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3*2\/12) + 9. Suppose i = g + g + n, 3*i = -2*g - 11. What is the biggest value in 5, g, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*h + 21376 = -566*h for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5)\/z)**32)**(2\/83)*z**(-2)*z**3*(z**(-1\/3))**15 assuming z is positive.\nAnswer: z**(-2108\/415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8435?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -5)*5\/(150\/24). What is the nearest to -0.1 in -1.6, o, -5?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -5*t**2 - 511*t\/3 - 34\/3 = 0.\nAnswer: -34, -1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -15*h**3 + h**2 - 2*h + 1. Suppose x + 8*a - 3*a = 33, x + a - 21 = 0. Let d be x\/10 + 2\/10. Suppose d*s - 7 + 5 = 0. Determine b(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24560, -24561, -24566, -24575, -24588, -24605, -24626?\n\"Answer: -2*j**2 + 5*j - 24563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -34660 (base 7) to base 13\nAnswer: -4096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hggshhah. What is prob of sequence ash?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44802.\nAnswer: 2, 3, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 0*j**2 + 11*j + j**2 - 1 + 7. Let c be x(-5). Let t = c + 36. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 k when four letters picked without replacement from {z: 13, k: 5}.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -0*x - 25. Let a = 0.6 - 0.4. What is the third smallest value in x, a, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + s - 15. Is 8 a factor of ((-2)\/s)\/((-4)\/(-100))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 2. Let w(y) = -13*y - 89. Give 4*d(x) - w(x).\nAnswer: x + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 670*v + 1168*v + 2 - 1.\nAnswer: 1838*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8820 = 4*n - 4*f, -n + 11031 = 4*n - 2*f. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3584824*d - 1. Let s(u) = u**2. Calculate p(s(y)).\nAnswer: 3584824*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 13 = s, s = -3*t - 3*s + 16. Let -8*r**4 - 9*r**4 - 2*r**2 - 11*r**3 + r**4 + 4*r**t = 0. Calculate r.\nAnswer: -2\/3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 2)\/(-3) + 2. Suppose 5*w - w - 2*f - 24 = 0, -5*f + 10 = 4*w. Suppose 0 = w*x + 20, j*x = r - 3*r + 92. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-53)\/(-159)*9\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*j + 51*j = -180257. List the prime factors of j.\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -13*o + o**4 + 42*o + 2*o. Let j(l) = -2*l**2. Determine j(b(p)).\nAnswer: -288*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/17 (b) 3.501 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/752 and 29\/40?\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 552 or 550?\nAnswer: 552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.2 (c) -1084\/99 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -33 * -3517603\nAnswer: 116080899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -24*9\/(-135)*15. Suppose u - 4*j + 5*j - i = 0, 3*u + 2*j = 74. Solve 5*h - u + 6 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + o**3 - o**4 + (3*o**4 - 3*o**4 + o**4)*(4 - 1 - 5) - 13*o**3 + 13*o**3 - 13*o**4.\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -154*k**2*t**2 - 6*k*t**2 + 2*k + t**2 wrt k?\nAnswer: -308*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3\/17 - 7840*b**2\/17 - 70294*b\/17 + 406744\/17 = 0. What is b?\nAnswer: -3911, -13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 6. Let b be ((g - 1) + 3)*1. Suppose -2*p + 22 = 2*a, -2*p + 10 = 2. Sort 4, b, a in descending order.\nAnswer: a, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/11 + 22\/121. Let f be (9\/2)\/(1\/z). Let h be 0 + (30\/f)\/5. Put h, 0.1, -5 in ascending order.\nAnswer: -5, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f*t**2*x + 12889*f*t**2 + 2*f*t + 6050320*t**2*x + 5*t**2 - 4 wrt x?\nAnswer: f*t**2 + 6050320*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 44. Suppose -2*j - 240 = -5*t, 12*j - 15*j = 3*t - 165. Let s = o + t. What is the smallest common multiple of s and 11?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61473825 divided by 15?\nAnswer: -4098255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 226 = 4*u - 1082, 4*u - 1308 = 2*n. Let o = u - 200. Suppose -52 = -a - 4*t, 0*a = 4*a + 5*t - 153. What is the remainder when o is divided by a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - n - d - 120, -80 = -2*n - 3*d. Let v(p) = 25*p - 9. Let o be v(10). Let b = 252 - o. What is the remainder when n is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v**(-28)*(v**(-2\/65)\/v)\/(v\/(v*v**(3\/14))))**10 assuming v is positive.\nAnswer: v**(-27133\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 - 49*n + 47*n + 26 + 255*n**2 + 2*n**3 as y*n + w*n**2 + z + l*n**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 734 + -405. Let p = 145 - -62. Let s = t - p. What are the prime factors of s?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-6*(sqrt(468) + 0 + 3))**2 - -5*(2*sqrt(468) + sqrt(468))*-2).\nAnswer: 5580*sqrt(13) + 85860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f = -8*f - 1001. Calculate the remainder when f is divided by 54.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**4 + 0*r**4 + 6*r**4 + (-r + 1 - 1)*(-14*r**3 + 30*r - 30*r).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 213 and 93711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((0 + 10\/5)\/(-10))\/1. Sort p, 2, -4, 0 in increasing order.\nAnswer: -4, p, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ae70da9 + 1?\nAnswer: 1ae70daa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**3 + 2*p**3 + 2*p**3)*(127 + 58 - 14 - 26) as o*p**3 + y*p + a + i*p**2 and give o.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/2000 and 13\/4031960.\nAnswer: 201598000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4\/7, -1, -12, 2\/5 in increasing order.\nAnswer: -12, -1, 2\/5, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 496962 and 918?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-4))\/((-1)\/4). Suppose -5*z + 29 = -6. Let y = 10 - z. Solve -y*j - q = 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 - x - 2. Let s(o) = 8*o**3 - 3*o**2 - 6*o + 15. Let f(d) = 3*l(d) + s(d). Let m(b) = -2*b**3 + 2*b**2 + 2*b - 2. Give 2*f(w) + 9*m(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/t**(10\/3))\/(t**1*t*(t\/(t*(t\/t**(-4))\/t))\/t) assuming t is positive.\nAnswer: t**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 30.94542 and 3?\nAnswer: 27.94542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/21*-1*1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.07 - -0.07. Let g = -8.0000072 - w. What is g rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*w + 2*g, -2*w - 25 = -5*w - g. Suppose -6*t = 2*t - 32. What is the greatest common factor of t and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 32 = 8*l. Solve -r + 4 + 1 = 3*c, 2*r + 4*c - l = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5 = i, 3*t - 5 = 4*i - 23. Let k = 31 - 29. Let h(d) = 5 - 3*d**2 + 0 + k*d**2 - i*d. Determine h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 + 1290 = 3*k. Calculate the greatest common divisor of k and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -245.7?\nAnswer: 737.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 10*o - 15. Give t(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tel. What is prob of sequence et?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 9. Let q(r) be the second derivative of 5*r**2\/2 + r - 4976. Determine -2*a(h) + 5*q(h).\nAnswer: -2*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 6 + 18 = -5*s, 2*s - 38535*a + 18 = -38547*a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -17 times -0.050757475\nAnswer: 0.862877075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*x + 11. Let r(m) = 1 - 1 + m**x - 2*m + 1 + 0*m**2. Calculate the remainder when 17 is divided by r(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*k - 2 = -254*k. What is the nearest to -0.1 in 0.8, k, -2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.9 + 2.1. Let z = j + -10.4. Let x = 747\/940 - -1\/188. What is the third biggest value in 0.02, 0.5, x, z?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212736?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/21))**24\/(t**2)**(-32\/7) assuming t is positive.\nAnswer: t**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j. Let t(b) = 4*b - 9. Let u(n) = -n - 1. Let h(d) = -4*d - 7. Let w(m) = -h(m) + 5*u(m). Let g(a) = 4*t(a) + 18*w(a). What is g(x(z))?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257476.\nAnswer: 2, 59, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 + -104010404?\nAnswer: -104010434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 99.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 + -27. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 28 = -0. Find the second derivative of -m**4 - 20*m + 19*m - m**c - 9*m wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7095\/14 < 508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/11 - -2\/33. Let r(o) be the third derivative of x*o**3 - 1\/120*o**6 + 0 - 2*o**2 + 0*o**5 + 0*o + 0*o**4. What is the derivative of r(u) wrt u?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 take away -0.1?\nAnswer: -25.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 48 = -0*p + 3*a, 0 = p - 4*a - 1. Let m be 1878\/(-4)*80\/15. What are the prime factors of p\/35 + m\/(-28)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/7 (b) -34 (c) -4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**6\/120 - 7*o**5\/60 - o**4\/6 - 4*o**3\/3 - 5*o**2. Is 10 a factor of t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 - -1) + -1010 + 970 + 31 + 1.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 - 18*w**2 - 44 - 67*w**2 as i + l*w**2 + z*w and give l.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 2*d + 7. Suppose 0 = -m - 5*f - 31, -17*f + 20*f + 15 = 0. Let q(o) = -2*o**3 - 12*o**2 + o + 3. Let s be q(m). What is j(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**5 - 504*a**4 + 7296*a**3 - 28160*a**2.\nAnswer: 4*a**2*(a - 110)*(a - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 5:12 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b003 - -72b?\nAnswer: -a5a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 18. Let y = 3 - l. Let o = 2 - 0. Which is the second smallest value? (a) o (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 271*z**2 - 2808*z + 12. Give v(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -10*b**5 - 8*b**4 + 62*b**3 - 12*b**2 = 0.\nAnswer: -3, 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 2*p - 3. Let j(y) = 2*y**3 + 10*y**2 + 10*y + 2. Let o be j(5). Let x(t) = -1 - 2*t + t - 553*t**3 + o*t**3. Determine h(u) - 2*x(u).\nAnswer: 2*u**3 + u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5919102 divided by -2237?\nAnswer: -2646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 2:29 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01666099 rounded to 4 decimal places?\nAnswer: -0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 488915278 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.17 + -0.47. Let y = u - -1.3. Which is the second biggest value? (a) -0.5 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 3*m + 0*m = 68, -2*m = -11*y - 62 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -597, -2014, -4769, -9306, -16069, -25502, -38049?\nAnswer: -54154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + sqrt(13)*2.\nAnswer: 2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 2, f: 2, j: 1}. Give prob of sequence gf.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**4 + 83*g**3 - 2*g**2 - 7490*g wrt g?\nAnswer: -24*g**2 + 498*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieeiieeneeeenee. What is prob of sequence inni?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67 and 48173?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5459 + -4980. What is the remainder when o is divided by 96?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.9 - -22. Suppose -415*d - 350 = 895. What is the nearest to d in -2, -0.14, p, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (2 + -3)) + -3 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 - -0.26. What is the second smallest value in -2, 3\/4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iib when three letters picked without replacement from bibibbb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-6))\/(2\/24). Let t = b + -2. Solve -t*h + 12 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, 1\/4, -1, 2, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 + 0.37. Let r = d + 0.6. Let n = -452\/7 + 65. Which is the smallest value? (a) n (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + sqrt(1008) + -1 + 3)**2.\nAnswer: -48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 7*b**2 - 8*b + 7. Let f(d) = d**2 - 4*d. Let r be f(4). Let j = 5 + r. Does 10 divide w(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -7. Let u be (s + -1)*18\/(-21). Does 17 divide (-4)\/u + (-930)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 10 - 40. Suppose 0 = -13*n + z*n + 54. Let g = 361 - 352. Calculate the lowest common multiple of n and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = -2*d. Suppose 2*r = -i - r + 44, 3*i - d*r - 110 = 0. Let q = i - 22. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u - 5 = 4*g, -12 = -3*u - 3*g. Suppose u*a = 2*s - 16, -7*s + 3*s = -5*a - 28. What is the greatest common factor of 26 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/7, -2.7, 14\/3, 0.3, -3\/4?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r + 9. Let w be t(-4). Suppose -6*c + c = -w. Suppose 0 = -o + c*o + 8. Put 5, o, -3 in ascending order.\nAnswer: -3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10800215 to the nearest integer?\nAnswer: 3286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b + 1. Let z(c) = 9 + 4*c**2 + 6*c - 5*c**2 + c - 2. Let y(j) = j + 8. Let q be y(0). Let i be z(q). What is l(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/7 (b) -5 (c) 3 (d) -8 (e) 4 (f) 2 (g) 112\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + 241\/((-23136)\/(-2688))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/8550 and -16\/21.\nAnswer: 59850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 5184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3773)\/(-105) + 2\/3. Let r = 36 - b. Let a = 176.56 - 176.6. Is r != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drrd when four letters picked without replacement from {y: 2, r: 1, d: 3, q: 3, u: 1, g: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**6\/120 - x**5\/12 - x**4\/6 + 2*x**3\/3 + 2*x**2. List the prime factors of q(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**2*w - 601*m*w + 132*w + 3 wrt m.\nAnswer: 2*m*w - 601*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-2))\/(-5*1\/(-10)). Suppose -12 = -g - a. Suppose 378 = 10*j - g*j. Is j a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8293\/5 + -1659. Let t = 0.66 - 0.06. What is the nearest to -4 in v, 3, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hiq when three letters picked without replacement from iiiqhiiqh?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jojjojop. What is prob of picking 1 j, 1 p, and 1 o?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -0.55 (c) 10 (d) -2 (e) -2\/373\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286894325 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 469429.\nAnswer: -3\/469429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - n - 16 = 0, -5*n = 3*o - 4 - 20. Is 3 - 1*(-2)\/(o\/116) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577854044.\nAnswer: 2, 144463511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 0.5, 2\/19, -3\/2, 2\/9.\nAnswer: -3\/2, 0.05, 2\/19, 2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2990 by 5.\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 1. Let m(x) = -4*x + 23. What is 5*a(k) - m(k)?\nAnswer: -k - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1444*a - 1190 - 1183 - 1183 - 1188 + 4742 to the form k + o*a and give o.\nAnswer: 1444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 1490*z + 1. Let c(x) = -305*x**2. Calculate g(c(b)).\nAnswer: -454450*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 20*k + 468 = 0. What is the units digit of k\/(-27) + 622\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-17 - (22 - 49)) + 21?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r - 10 = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/55*-105)\/3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + l - 38. Let j be v(0). Let a be -3 + (19\/7 - j\/133). Solve -3*c - 24 = 5*d, -3*c + 3*d = -a*d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -1597*h - 230. What are the prime factors of f(-2)?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (31 - 3)*6\/12*7. Find the second derivative of 34 + 31 + 331*o**2 - t + 33 - 216*o wrt o.\nAnswer: 662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4614131.3528 + 4628589. Let l = 14515.6472015 - d. Let s = l - 58. Round s to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-55)\/210 - (-3)\/(-18). Sort 0.2, p, -0.5.\nAnswer: -0.5, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1 = 3*h. Let o(z) = 4*z**2. Let r be o(h). Suppose -1791 = -4*t - 5*d, t + r*d = 2*t - 453. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 8:01 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 15*h + 29. Let g be l(-5). Suppose g*d = j - 24, -5*j - 4*d = -j - 76. What is the remainder when 75 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2. Let c(t) = -2*t + 3. Suppose 8*d = -2*d - 40. Let u(m) = m - 4. Let v(p) = d*c(p) - 6*u(p). Give v(y(r)).\nAnswer: 6*r**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 - 854e?\nAnswer: -853c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -609*v + 360*v + 11306592. Is 66 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 + 1111?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmge when four letters picked without replacement from {k: 3, g: 5, m: 3, e: 1}.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/5 bigger than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 5*v + 24, 0 = 5*j - 2*j - 3*v - 15. Let p be (-1)\/(-3)*(j + 8). Suppose -p*g + 10 = m - 5, 3*m - 5*g = 31. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13b - 412a8?\nAnswer: -41416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18130 and 107947?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -14*f - 3. Suppose -8 = -2*a + 3*a. Let v(n) = -5*n - 1. Give a*v(g) + 3*y(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 783 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 13484290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-3)\/(-2)*144\/(-40) - -2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4322342t to grams.\nAnswer: 432234.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 827 divide 53994545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + f - 230 = 0, 3 = 2*f - 7. Calculate the remainder when r is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + u**2 - 6*u - 1. Let m(s) = 2*s**3 - 2*s**2 + 11*s + 2. Suppose d = -q + 3, 3*q + 2*d - 3 = 9. Let c(k) = q*m(k) + 11*g(k). Determine c(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1313813714 + -0.13138. What is c rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5}. Give prob of picking 2 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 + 4*j - 26. Let p be z(-5). Solve m + 3*u = -6 - 8, 2*m - 2*u = -p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 80. Calculate the remainder when 383 is divided by x.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccey. What is prob of sequence ceyc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 - 7*d**2 - 45*d + 222. Determine t(4).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233702 is divided by 892?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**3*k**(-1)*(k**(-1))**(-12)*((k*k**1)\/k*k)**(3\/25)*(k**(-4)*k)\/(k**(-2)*k) assuming k is positive.\nAnswer: k**(306\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(4*b + 6*b - 5*b)*(-3 + 4 - 2).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 973.\nAnswer: 5838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2922 + 0.0078. Let s = 0.07 + 3.93. Which is the biggest value? (a) s (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*n - 116, 3*n - 108 = -4*y + 6*n. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 1:54 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 26, -0.1, -16?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130522004 (base 6) to base 14.\nAnswer: -4a9604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*y**3 + 1 + 21*y**2 + 15*y**3 + 78*y**3 in the form r*y**3 + g + w*y + m*y**2 and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 875*h = -880*h + 412681, -687819 = -5*v - 4*h. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -45242*i**4 + 180963*i**3 + 678650*i**2 - 814281*i - 90 = 0.\nAnswer: -3, -5\/45242, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -2 + 2)\/2. Let n be (-5 + 2)\/(-1 - h). Solve 4*x = 3*g + 10, -13 + n = -x - 3*g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 116 = t + t, -4*a = -3*t - 253. What is the remainder when a - 6\/((-4)\/(-2)) is divided by 8\/((-8)\/(-7))*(-8 - -11 - 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 736, 0.0881, -22, 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.17475 plus 0.132?\nAnswer: -50.04275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 5*p + 10. Let l be v(4). Let d be 3\/l + 803\/150. Let a = -123\/100 - d. What is the common denominator of a and -107\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11438b85 + -5?\nAnswer: -11438b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m - 4. Let r(h) be the third derivative of 1\/24*h**4 - 3*h**m + 0*h**3 + 0*h + 0. What is r(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -215508698*p**3 - 54*p**2 - 49981*p + 1?\nAnswer: -1293052188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -33. Let f = z - -38. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 8*c + 6. Suppose 2*v - 17 = 9. Suppose -2*h - v = 1. What is the units digit of u(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - -30 - (126 - (257 + -137)) - -9.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 40504311?\nAnswer: 40504305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*p = -132*p - 314. Suppose 159*w = p*w + 34. What is the remainder when 59 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w - 16. Suppose w = -2*s + 48. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.0161254 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (761*q**3 - 4789*q**3 - 5563*q**3)*(-q + 0*q - 3*q) as w*q**2 + a*q**3 + g*q + x*q**4 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 5*r + 5. Let s(z) = -13*z - 8. Let l be s(-4). Let t be (-17)\/4 - (-11)\/l. Let x(i) = -3*i**2 - 14*i - 14. Calculate t*x(j) - 11*q(j).\nAnswer: j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1077.714, 4, -242 in descending order.\nAnswer: 1077.714, 4, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**3 + 3*a**2 - 1. Let c(q) = 23*q**3 + 17*q**2 - 5. Give -6*c(s) + 34*g(s).\nAnswer: -2*s**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 14*t - 40. What is the units digit of y(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**1)**(-44))**(-22) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 3.2.\nAnswer: -25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - 1 + 1)*(3*a**2 - a + a) + (5*a**4 + 6 - 6 + (-a + 9*a - 2*a)*(3*a**3 - 3 + 3))*(2 + 0 - 1).\nAnswer: 17*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-1 - ((6 - (5 - 4)) + 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 673 divide 46909190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*y + 5*i, -3*y + 2*i = -6 - 4. Solve -n = -y*n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*z + 53 - 54 + 21 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 6*a + 8. Let h be f(2). Suppose 0 = -4*v + 16, 5*v - 2 = h*u + 2. Suppose -5*j + 6*j = 6*j. Solve j*z - u = 4*z - 4*c, 3*z + 3 = -5*c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/9 and -5\/6498493.\nAnswer: 58486437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*i**4 - 5*b**3*i - 12*b**2*i**2 + 54916*b*i**4 - b*i**2 + 258*i**2 wrt i?\nAnswer: -48*b**3*i + 1317984*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-4)\/(-12) + 3\/(-6).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-2) - (-6)\/12. Let q = -7.1 - -7. Which is the closest to -0.1? (a) q (b) l (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -o + 3*v, 225 = 3*o - v + 230 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*z - 60*z - 17*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*p**4\/3 - p**3 - 11*p**2\/3 = 0. What is p?\nAnswer: -1, 0, 11\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i + i**2)*(i + i + 27*i)*(-46*i**2 + 54*i**2 - 40*i**2).\nAnswer: -928*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -2*i + 2, 6 = -5*s - 2*i - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17178 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (9 + -1 + 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 7. Let s be f(10). Suppose -5*o - 7 = -s. Let x be (3 - 1)*(-10)\/(-2). Calculate the greatest common factor of o and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-60)*(-8)\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 6*w - 6. Calculate f(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 6 = -2*c. Let m be (-1 - c)\/(-3) - -2. Suppose m*l - 20 = -l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07616 and 7.46.\nAnswer: 0.5681536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)*f**3*f)\/((f*f**3)\/f**(-1\/3)) assuming f is positive.\nAnswer: f**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 52755400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3925*n + 317. Is 12 a factor of j(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2\/f)**(4\/35) assuming f is positive.\nAnswer: f**(4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -211340 by -4.\nAnswer: 52835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 4*o - 3*g, -4*o - 2*g + 0*g = -126. Solve 7*k = o*k + 132 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 0 - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 2*f - 29, 3*m - 229*f + 17 = -228*f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7*g**2 + 34*g + 110. What is t(8)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35624482*t - 7772426.\nAnswer: 35624482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 16*x + 96 = 0. Let q be (20\/x)\/(1\/(-4)). Let 8\/15*h + 22\/15*h**4 + 8\/15*h**q - 2\/5*h**3 - 32\/15*h**2 + 0 = 0. Calculate h.\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*n - 551 = -182, 3*m + n - 366 = 0. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1544 = 3*p - 10979. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112.53 - 112. Let k = -0.03 + l. Put -0.3, -0.1, k in decreasing order.\nAnswer: k, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 10*s + 74. Let k be o(-7). Suppose k*g = -j - 24, 5*j - g = 4*g + 5. Let i be -2*(-218)\/j + 24\/(-8). Are -113 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/19 (b) -4\/51 (c) 5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 + 66.147. Let p = -1.147 + q. Suppose 0 = s + 2*d - 2, 1 = -3*d + 4. Which is the biggest value? (a) s (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*w - 2871, -4*w + 3469 = 5*y - 2266. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 107 - 868 = 0. Calculate the highest common factor of f and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61\/2 - -31. What is the nearest to 2\/5 in 2\/9, -0.25, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + d + 0*d)*(3*d - 5*d + 0*d) + d**2 - d**2 + d**2 + (-3 + 10 - 9)*(59*d**2 + 53*d**2 - 119*d**2) to the form a*d + u*d**2 + r and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*m + 60 = -m, 2*f - 5*m = 27. Suppose 0 = x - 5*x - f, -2*t - 22 = x. Let y(v) = -v - 4. Is 2 a factor of y(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avvavvvtkavvvav. What is prob of sequence atkv?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -t + 116 + 280, 0 = -5*t - 5*d + 1890. What is the remainder when t is divided by 84?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -837*r**3 - 11*r**2 + 122*r - 9. Let a(l) = 418*l**3 + 6*l**2 - 61*l + 5. Let o(u) = 11*a(u) + 6*c(u). What is the second derivative of o(t) wrt t?\nAnswer: -2544*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 5. What is the remainder when 4 + (-382 + p)\/(-2) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 + -54. Which is the nearest to -12? (a) 0 (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54500 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59229877*o**3 - o + 296733073.\nAnswer: -177689631*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8023992?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2*c = -11, 5*r - 15*c + 35 = -20*c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1232011121 (base 4) to base 5\nAnswer: -103412110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r**2 - 292*r + 148. Give z(-37).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -30. Let n = b + 6. Let f(p) = -p. Does 7 divide f(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-20))\/((-4)\/(-64)). Let u = q - 3. What is the second biggest value in 4\/7, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 37 + 68 = -7*k, 3*v - 49*k + 28*k = -22*k - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -0.3 (c) -0.4 (d) -2\/23 (e) -4 (f) 127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 50. What is the greatest common divisor of h and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - 21\/5 - 2\/(-10). Let s be (-15 - z)\/((-5)\/(100\/15)). Let v be s\/(-6)*(-15)\/10. Solve 0 = -2*k + u + 5, -4*u + 17 = 5*k - v*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163382702 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31, -16, 21, 92, 209, 384, 629, 956?\n\"Answer: 2*t**3 - t**2 + 4*t - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/2 + x**2 - 241*x\/2 + 119 = 0.\nAnswer: -17, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123782232 divided by 10997.\nAnswer: 11256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**6\/3600 + 13*q**5\/1200 + q**4\/8 + 29*q**3 + 141. Let v(o) be the third derivative of j(o). Factor v(h).\nAnswer: (h + 3)*(h + 10)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 19. Suppose 0 = 2*c + s - 95, -q*c - s + 196 = 56. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 4*s**2 - 2*s - 5. Let q be r(-4). Suppose q*j + j = -180. What is the remainder when 2 is divided by (-10)\/j + (-7)\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 7 - 17. Suppose -218 + 58 = -4*b - i, 2*i = c*b - 200. Suppose -3*n + 227 + 73 = 0. What is the highest common factor of n and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6282390 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, -1, 12.\nAnswer: -8, -1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*s + 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.6 + 37.4. Let f = 49.9 - j. Put 0, f, -1 in decreasing order.\nAnswer: 0, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j. Let c(r) be the second derivative of 0*r**3 + 0*r**2 + 1\/6*r**4 + 0 + r. Calculate c(w(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 19 + 4 = 2*i, 5*u = i + 11. Let n be i\/10 - 429\/(-15). Let b = -21 + n. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17\/(-51)*(-18)\/5 - 1. Put -2, -8, -1, m in ascending order.\nAnswer: -8, -2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/21 + 1)*(-342)\/228.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7119 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 68.46 plus 2580289.09?\nAnswer: 2580357.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q**(-3)\/q))**(-29))**(2\/3))**19 assuming q is positive.\nAnswer: q**(-2204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9793?\nAnswer: 7, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-1)\/(-8) + 28\/(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -217 + 291. Suppose -6*b - u = -14. Let f(t) be the second derivative of t**5\/20 + 5*t**4\/6 + t**3\/6 - t**2\/2 - 3*t. Determine f(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**3\/3 + 5*i**2 + 17*i - 786. Calculate g(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -287661.\nAnswer: 13\/95887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - d - 5. Let v(j) = -j. Let b be v(-5). Let o = b + -5. What is x(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-1\/5)*(h\/((h\/(h**(-1\/9)\/h))\/h))\/h*h assuming h is positive.\nAnswer: h**(49\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h + 2 + h**2 + h - h**3 + 6. Suppose -v = 4*s + 5 + 10, 3*s = 5*v - 40. Suppose 0 = v*q - 5*d + 10, -3*q - 2*d + 4 = -7*q. Determine t(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttt. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(414\/3))\/((-3)\/2).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 2) + (1 + 0 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000159 to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -267 - -312. Calculate the remainder when 268 is divided by i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/44?\nAnswer: -7\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 3:02 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36836646 and 245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*(9\/108*-2)\/(-1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*v**3 + 48*v**3 + 40*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132891 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -131*w - 5. Let f be s(2). Let i = f - -1129. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81435262 is divided by 84.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 294801 and 48867.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9685823\/172 equal to 56312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 853 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 204 + -199. Let y = 7.7 - 8. What is the second biggest value in y, -7, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451474888.\nAnswer: 2, 37, 43, 79, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/2)\/2 + (-3 - -4). Let p(o) = 4*o - 8. Let x be p(u). Which is greater: x or -2.9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/99)*(z**8*z)\/z)\/(z\/z**(-9\/2)*z*z**(-23)) assuming z is positive.\nAnswer: z**(4847\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/17))**(-5\/4))**(-42) assuming i is positive.\nAnswer: i**(-105\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 284629387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 72234710 * 0.5\nAnswer: 36117355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115.9 + 110.9. Which is the nearest to t? (a) -0.1 (b) -2 (c) 1 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 12:26 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in 168, -1\/4073, -4?\nAnswer: -1\/4073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 323417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -440 at most as big as -442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmmfm. What is prob of picking 2 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/1*(-19)\/(-76)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 - h - 4. Determine p(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 1\/7 (c) -0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -59, -90, -135, -200, -291, -414, -575, -780?\n\"Answer: -f**3 - f**2 - 21*f - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2171*l**4 + 8*l**3 + 5207*l**2?\nAnswer: -52104*l + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -227 - -396. Let p = -98 + n. What are the prime factors of p?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72045413 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c + 7 - c + c - 3*c. Let g be o(4). Solve 1\/2*z**g + 0*z + 1\/2*z**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.2 (c) -576 (d) 0.3 (e) 13\/12 (f) 2\/71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -597 or 631840?\nAnswer: 631840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 6\/7*q - 2\/7 - 6\/7*q**2 + 2\/7*q**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 4*v. Let b be q(-4). Let p(w) = -w**3 + w**2 - w + 34. Let r be p(b). Does 12 divide 2\/(4*1\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*u + 58 = -44 + 8. What is the lowest common multiple of 233 and u?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17 - 1)*4\/(-3). Suppose m = g - 24. Let w be 7\/(70\/g)*5. Calculate the greatest common divisor of w and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 404*s*u**3 - 23*s + 3*u**4 + u**3 + 49 wrt u.\nAnswer: 1212*s*u**2 + 12*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/17 or 0.0623?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(0 + -2 - -1). Let a = 17 - g. Suppose 2*i = a*z - 3*z + 118, -53 = -i - 2*z. Round i to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*q**2 + 3*q**2 + 11*q**2)*(q**2 - q - q**2 - 3*q**2) as h*q**4 + s + k*q + r*q**2 + o*q**3 and give h.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 36 = -5*q, 4*q + 5*j = 3*q - 12. Let h be 3366\/(-2) - (-2 - -1). Is 12\/16 - h\/q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6197\/10 + 620. Let k(l) be the second derivative of 0*l**4 + 4*l + 0*l**2 - l**3 - c*l**5 + 0. Find the second derivative of k(o) wrt o.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32887 + 32886. Which is the nearest to -1? (a) 60 (b) m (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 7*x**2 + 2*x - 8. Let v(h) = 3*h + 3. Let k be v(-1). Let a be k\/(-6*4\/(-12)). Suppose 4*i - 12 - 16 = a. Determine c(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -131421 + -2?\nAnswer: -131423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5.22 (b) -143 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16891?\nAnswer: 7, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 1:31 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, 16 in increasing order.\nAnswer: -10, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3396 and -5.\nAnswer: -16980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 94 + 3*d**2 - 2*d**2 as m*d + w*d**2 + t and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -39. Suppose 0 + 16 = -2*r. Let g = r + 34. Calculate the highest common factor of g and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i - 251 + 126 + 122. Let p = 40 + -43. Give s(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 11:31 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 1673 = -2*x. Let m = 668 - x. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**2 - 105*m - 287. Calculate g(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (3 - (-2 + -1 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -1\/10*t**5 + 1\/6*t**4 + 1\/60*t**6 + 18*t**2 + 0*t + 0 - 3\/2*t**3. List the prime factors of h(5).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 4980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*(6 + -4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4757, 9503, 14237, 18953, 23645?\n\"Answer: -d**3 + 4753*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/181 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3 + (-60)\/(-66))*-1 and -44\/97.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*((l*l**(6\/7)*l)\/l)\/l*l)\/l)\/l)\/(l*l**(-2\/3)*l))\/(l**0)**(-38) assuming l is positive.\nAnswer: l**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 5:09 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19832227 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 158 - 725. Find the common denominator of -59\/36 and 3\/t*-7*76.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 37\/3 (c) -0.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, z: 3, b: 2, w: 2, f: 6}. Give prob of sequence bxfw.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 1678.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 94608851 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*k**2 - 2*k**2 - k**2)*(-2*k + 0*k + 3*k)*(-3*k**2 - k**2 + k**2) + (-8 - k - 16 + 18)*(k + k**4 - k))*(-1 - 2 + 4).\nAnswer: 14*k**5 - 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*k + 23*k - 924 = -48*k for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*q**3 - 23*g**3*q**2 + 7*g**3*q - 43*g*q + 4034744*q**5 + 6*q**2 wrt q.\nAnswer: -12*g**3 + 242084640*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 4. Let v be g(-5). Let j(o) = 2*o - 4 - 1 + 9 - 2 - 4. Let d(h) = h - 1. Suppose -2*c = 4*c + 18. Calculate c*d(y) + v*j(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -37, 0.5, -5\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 140826537 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20292759.\nAnswer: 3, 67, 73, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/580 in -2\/5, 24, -3\/110, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -9*a + 75. Calculate the remainder when 43 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3030 - -4718. Calculate the least common multiple of 9 and p.\nAnswer: 15192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + c**2 + 552*c - 29. Give b(-23).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihhi when four letters picked without replacement from zizivviziiiiiitztzih.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 4*n**2 + 11*n - 10. What is k(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 4. Let l(w) = w - 3. Let x(j) = 5*l(j) - 4*p(j). Calculate x(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -134 + 139. Let u = -103.21 + 103. Which is the biggest value? (a) i (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1727 - 1367. What is the remainder when r is divided by 64?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24252, -24216, -24188, -24168, -24156, -24152, -24156?\n\"Answer: -4*r**2 + 48*r - 24296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3818 (base 9) to base 8.\nAnswer: 5444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) -3\/8 (c) 0.016 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 4*w - 5. Suppose -7 - 29 = 4*o. Let q = -14 - o. Let d be f(q). Solve -3*i - 3 = 4*a, i + 4*a + 0*a + 9 = d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4, 6*u = 2*y + 2*u - 140. What is the remainder when y is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 9:42 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + (sqrt(325) + -1 + sqrt(325)*1)*-4 + (-3*(sqrt(325) + -1) - (sqrt(325) - (-2 + sqrt(325) + -2) - sqrt(325)))))**2.\nAnswer: -12800*sqrt(13) + 521024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1239 = 744*v - 331*v. Put v, 4, 921 in ascending order.\nAnswer: v, 4, 921","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378031267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kek when three letters picked without replacement from {k: 8, e: 2}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*c - 26 = 0, 0 = 3*a - a + 3*c - 23. Let t be (6\/4)\/(1\/a). Suppose -4 = 5*g - t. Calculate the remainder when 4 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 28 = -2*a + 27, -4*a = 3*z - 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwwpnqjz. What is prob of sequence np?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 84 = 3*k + k, 5*w = k - 33. Let t = k - 15. Determine g so that -2*g**4 - 5*g + 4*g**t - 2 + g + 4*g**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, 0.086, 8\/7 in increasing order.\nAnswer: 0.086, 0.1, 8\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*sqrt(17) + 0.\nAnswer: -5 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 345140552 a multiple of 376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3153707 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 4*v**2 + 2. Let s be z(3). Let o(k) = -k**2 - 6*k + 2. Let g be o(s). Let r = -8535\/7 + 1219. Which is the closest to 1? (a) r (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4*i - 3*i + i)*(i**2 - 2*i**2 - 5*i**2 + (10*i - 13*i + 13*i)*(0*i - 3*i - 4*i)) in the form b + d*i**3 + j*i + w*i**2 and give d.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 34138062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 10*u**3 - 4*u**2 + 5*u**2 + 11*u**3 + 6*u**2 - 4. Let g be w(-6). Solve -x = 4*x + g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 2*o**4 - o**2)*(2 + 0 - 1) - 2*o**4 - 4*o**4 - 5320549*o**2 + 5320529*o**2.\nAnswer: -8*o**4 - 20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 249807 by -83269.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-10)\/84 - (-12)\/42).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*o + 665 = 629, 5*w - 4*o = 46. Solve 0 = 4*n - 3*p - 35, -7*n = -w*n + 2*p + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21105, 21125, 21167, 21237, 21341?\n\"Answer: o**3 + 5*o**2 - 2*o + 21101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -55050, -110098, -165146, -220194?\n\"Answer: -55048*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 19*t + 20 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*r**2 + 7 - 7 - 75*r**2 + 1675*r**2.\nAnswer: 1627*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 509*g + 509*g - 4*g**2 - 11*g**2 to the form d*g**2 + c + t*g and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -637*n**3 - 42*n**2 + 42. Let h(f) = -75*f**3 - 5*f**2 + 5. Give 42*h(c) - 5*z(c).\nAnswer: 35*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10468332 and 678503.\nAnswer: 73278324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0076887316 and -0.13.\nAnswer: -0.1376887316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 76?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3327\/40 - 429\/5. Let z = -2.1 - -1.1. What is the closest to z in d, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 9 = 13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j - 8. Let p be w(-7). Suppose -30 = -6*a + 3*a. Suppose -3*o + p = a. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**5 + 10340*r**4 - 810052*r**3 - 2935748*r**2 + 33635040*r = 0?\nAnswer: -2661, -8, 0, 5, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.638 - 0.062. Which is the nearest to 0? (a) f (b) -5\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -3.703529?\nAnswer: -11.110587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2 - 4*t + 0)*(-2 + 0 + 4)*(-10 - 1 - 2 - 4 + 4 - 2 + (4 - 1 - 2)*(3 - 1 + 0) + 5 + 1 - 4).\nAnswer: 44*t - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28884250, -57768518, -86652800, -115537102, -144421430, -173305790, -202190188?\n\"Answer: -a**3 - a**2 - 28884258*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 - 2*k - k**2 + 7*k**3 - k. Suppose 3*r + 3*y - 15 = 0, -4*r = -5*y + 4 + 3. Is u(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 36. Let h = r - 15. Which is the closest to -2\/3? (a) -7 (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 753 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + o**2 - o + 2. Let m be x(0). Let l(q) = -3*q + 228 - q**m - 228. What is l(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.83 + -21.9. Let i = p - -2. Let g = i - -4.07. Which is the smallest value? (a) g (b) 0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 978696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/184717319 or 0?\nAnswer: -6\/184717319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 0*t**4 - 1\/30*t**5 + 0*t**3 + t + 0*t**2 + 1. Let n(q) be the first derivative of r(q). Factor n(j).\nAnswer: -2*j**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148680 is divided by 37163?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 44728, 0, 4, 5 in ascending order.\nAnswer: -3, 0, 4, 5, 44728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 3, -2\/655407, 7 in decreasing order.\nAnswer: 7, 3, -2\/655407, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1846\/81 - -76391\/3564. Let x = -25\/11 - z. Find the common denominator of x and 155\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*i - 512. Suppose 10*s - s = -i. Let t be s\/10 + (6 - 192\/30). Which is bigger: -6\/5 or t?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 7*s. Let m(c) = c**2 + 3*c. Let t(w) be the first derivative of w**4\/4 - 7*w**3 + 9*w**2 + 38*w + 61. Let j be t(20). Give j*o(d) - 5*m(d).\nAnswer: -3*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 123869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/12)\/11*2\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67070641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -732 = -11*a + 1523. Let c = a + -175. Calculate the highest common divisor of c and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20369, -4\/9, -5, -1 in decreasing order.\nAnswer: -4\/9, -1, -5, -20369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -1\/3*w**3 + 0 - w - 1\/10*w**5 + 0*w**2 - 1\/3*w**4. Find a, given that o(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100239755.\nAnswer: 5, 7, 11, 260363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-171)\/36*(-4)\/114. Let z(q) be the third derivative of 0 + 0*q - t*q**3 - 1\/12*q**4 + 5*q**2. Let o(n) = 6*n + 3. Give -4*o(a) - 11*z(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.95 + -10. Let p = -7.05 - t. Let d = 9 + p. Are d and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 13 = t. Let m be (t\/45)\/((-1)\/(-15)). Let b be (0 - 5)\/((-3)\/m). Calculate the highest common factor of 20 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 5:05 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 775 + -790. Put 0.4, u, 1\/2 in ascending order.\nAnswer: u, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 divided by -1?\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**4\/12 - b**2. Let v be (-3)\/3 - (-1 + -3). Let d(r) = -v*r - 8*r + 4*r. Determine f(d(s)).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**5\/60 - 7*d**4\/24 + d**3\/6 + 28*d**2. Calculate n(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1351 divided by 145\nAnswer: -1351\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.72 + 163.28. Let m = l - 165.7. Let j(r) = 4*r**2 + 1. Let s be j(-1). Which is the second smallest value? (a) s (b) -7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 18. Let f be a(-14). Suppose f*k - 6 - 6 = 0. Differentiate -4*n - k*n**2 - 729 + 727 + 4*n wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 640*i**4 + 6*i**3 - 6336*i**2 wrt i.\nAnswer: 15360*i + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(432) - sqrt(432)*-3)**2 + 1 - ((sqrt(432) - (3*sqrt(432) + sqrt(432))**2) + -3 + sqrt(432))).\nAnswer: -24*sqrt(3) + 13826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 527139473 to the power of 1\/3, to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7436 + 8028. Calculate the smallest common multiple of 16 and i.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*u**3 + 154*u**3 - 313*u**3 + 39.\nAnswer: -5*u**3 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Suppose -4*z - m*i = i - 22, 5*z + i - 22 = 0. Suppose 4*y = z*c + 152, -28 = -2*y - 4*c + 36. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3608558m to kilometers.\nAnswer: 0.0003608558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(48))*-5 - (-2*sqrt(336))\/sqrt(7)) + -4 + 1.\nAnswer: -12*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110\/1*(-6)\/(-15) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -3 + (54 - -35) + -51?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*g + 2*g. Let w be (5\/10)\/((-1)\/2) - -3. Suppose -6*f - 27 = -f + w*q, -5*q + 5 = -2*f. Put g, f, 4 in descending order.\nAnswer: 4, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/11 - 8*j**3\/11 - 184*j**2\/11 + 384*j\/11 + 4608\/11.\nAnswer: 2*(j - 8)**2*(j + 6)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 49, 59, 67, 73, 77, 79?\n\"Answer: -z**2 + 13*z + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 379*y**2 - 2*y + 13. Let w be p(6). Suppose 8*o + 4*z = 7*o + w, -5*o - 3*z = -68225. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12, 0, -2, -19 in decreasing order.\nAnswer: 12, 5, 0, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -11*v + 1. Let f be (80\/(-25) + 0)*7650\/v. Is (1 - (-14)\/(-10))\/((-18)\/f) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 15, 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102)\/18)\/((-49)\/882*3*3\/3).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j + 6. Let y(d) = -5*d - 7. Let c(z) = -6*z - 7. Let n(k) = 3*c(k) - 2*y(k). Calculate -6*i(v) - 5*n(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 - 6*s**2 - 2*s. Let c(v) = -528*v**3 + 96*v**2 + 32*v. Determine -c(t) - 16*p(t).\nAnswer: 560*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 20. What is the common denominator of i and 37\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2. Suppose 4*l - 4*j = -4, 2 = 5*l - j + 11. Let y be ((-1)\/l)\/(4\/16). Let n(z) = 0*z + 0*z + y*z. Calculate p(n(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 29 = 5*t + 18, 4*g + 52 = -4*t. Let m be t*4\/8 - -4. Which is smaller: m or -1\/38?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 75 = 4*z. Suppose 5*n - 33 = z. Suppose -n = -5*i - 0. Calculate the highest common divisor of i and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1267 is divided by 211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -582 in 0, -0.2, -1\/2, -2\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 552.5*-0.3.\nAnswer: -165.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - 0. Let k be 5\/4*(-8)\/l. Which is smaller: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q**2 - 3*q**2 + 6*q**2)*(-23*q**2 + 83*q**2 + 159*q**2) to the form w*q**3 + v*q**2 + p*q + x*q**4 + m and give x.\nAnswer: 657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51 by -29.\nAnswer: 51\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + s - s)*(0*s + 4*s - 3*s) + (-2*s**2 + 2*s**2 + s**2)*(3 - 3 - 8).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4900*u**2 - 3747*u**3 + 2451*u**2 + 3761*u**3 + 2449*u**2.\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 a, and 2 b when four letters picked without replacement from {z: 4, s: 1, b: 6, p: 3, a: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 - (-87)\/((-6612)\/(-4864))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 414463091 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*p + 4, 5*p = c - 1 - 0. Let s(h) = -2*h**2 + 5*h + 44. Let d be s(p). Sort d, 2, 4 in ascending order.\nAnswer: 2, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 63, 1788, 9 in descending order.\nAnswer: 1788, 63, 9, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.24 - -0.04. Let t = -0.7 - r. Let q(n) = n. Let s be q(1). Which is the nearest to s? (a) -0.4 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 69.8. Let g = -0.2 - p. Let m = 15.000013 + g. Round m to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15116638 is divided by 687119?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -590.7, -4, 0, 3, -21, -1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 172\/385 - 1\/55. Let q = -4\/15 + -1\/15. Suppose 5*m = 5*k + 5, -3*m + 4*m - 3*k - 7 = 0. What is the nearest to q in n, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -18*u**3 + 45*u**2\/2 - 33. Find the second derivative of z(n) wrt n.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -17*l**2 - 847*l + 63727. Give k(-91).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -12*n**4 - 2*n**3 - 11. Let r(d) = d**4 + d**3 - 1. Let m(z) = -h(z) - 2*r(z). Find the first derivative of m(y) wrt y.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -79*t**2 - 10*t + 94. Let l(a) = -77*a**2 - 8*a + 95. Let i(g) = 4*l(g) - 3*s(g). What is the first derivative of i(c) wrt c?\nAnswer: -142*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 6:23 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.96988 hours in weeks?\nAnswer: 0.535535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(75) + -2) + sqrt(75))**2 - ((sqrt(75)*3 - sqrt(75))*-2)**2) + (-1 + sqrt(75))**2 + -4 + -3 + -1 + 0.\nAnswer: -441 - 130*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.7707573 kilograms?\nAnswer: 770757.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -2. Suppose -3*a - 12 = -y*a. Suppose -2*r - h = -0*h - 44, -a*r = h - 88. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10014*d + 10014*d + 1 - 1 - 3*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/6)\/((-3)\/(-201)). Let l = u - -23. Let q = -3.6 + 4. Which is the closest to l? (a) q (b) 1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 488 - 238 + 427*r - 250 as i*r + f and give i.\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 2\/17, 0.1, 0.08?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*n**3 - 538*n**2?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2397369 + 3.2154?\nAnswer: -2397365.7846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 20*o**2 + 106*o + 1050. Is 66 a factor of g(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 1 (b) -2\/9 (c) -146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3881?\nAnswer: 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12542 - -48339. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9649594.093869 + 10055932.0316991. Let u = 406338 - n. Let o = -0.0622 + u. What is o rounded to six dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/13, 5, 10.26, -1, -3\/5 in ascending order.\nAnswer: -1, -3\/5, -4\/13, 5, 10.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0 = -26. Let u = a + 48. What is the least common multiple of u and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8441050003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 1. Let d(j) = 2*j**2 + j - 1. Suppose 3*l + 9 = 6*l. Let b(i) = l*x(i) + 2*d(i). Factor b(c).\nAnswer: (c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10001 + 1101011?\nAnswer: 1021010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 7 = -5. Let h be 125\/(-75)*(-5 + l). What is the second derivative of 9*o - 6*o**3 - 3*o**3 - 8*o**3 + h*o wrt o?\nAnswer: -102*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j + 0*j - 3*j)*(3*j - j - j)*(8 - 46 - 74)*(26*j - 5*j + 7*j) as k*j**2 + d + v*j**3 + s*j and give v.\nAnswer: 3136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.047 + -0.153. Let o = -3.9 - -4. Let y = m + o. Which is the nearest to y? (a) -2 (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-108))\/(16\/24)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 16 = -5*a, 3*n + 0*n - 62 = 2*a. Let w be n\/12*16\/6. Solve -w*s - s = -20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/11)\/1 + 530\/110. Let d = 77 - f. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drl when three letters picked without replacement from {r: 2, l: 1, d: 1, j: 1, e: 1, w: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/8*20\/6. Let r = 38 + -39. Which is the nearest to r? (a) -0.3 (b) d (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 8*j**2 - 8*j - 6. Let o be q(-7). Let c(b) = -15*b**3 - b**2. Let f be c(o). List the prime factors of f\/40 + (-74)\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3689 and 7.\nAnswer: 3689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40b5 (base 13) in base 9?\nAnswer: 13228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 x when three letters picked without replacement from {x: 6, i: 13}?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 70, -4, -5, -194, -2, -14 in descending order.\nAnswer: 70, 0, -2, -4, -5, -14, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 45370 = -269*n + 270*n, 0 = -5*m + n + 113404. What are the prime factors of m?\nAnswer: 2, 11, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from uuvbbxxuaxx?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -v - 5, -4*v - 25 = -d + v. Let k(n) = 0*n**2 - 3 + d*n**2 - 2*n**2 + 4*n**2 - 2*n. What are the prime factors of k(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(8)\/sqrt(4) + -5)**2 - (sqrt(2) + -1 + 3)) + (1 + sqrt(200) - sqrt(200))*-5.\nAnswer: -21*sqrt(2) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 22. Let n(r) = -r - 2. Give n(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -231, -351, -471, -591?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2*x)*(4 - 2 - 3) - 4*x - x + 4*x + (16*x + 16*x + 6*x)*((-2 - 1 + 1)*(2 - 3 + 0) + 1 - 1 - 3) in the form w*x + t and give w.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/11? (a) -70.5 (b) 0 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*v - 806 = -3*g, -g + 4*v - 48 = -66 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + 14 + (-5 - (12 - (1 - 0)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4112031 + 10?\nAnswer: 4112041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 7:55 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69\/7590*-22)\/(219\/15).\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 241920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 2*n + 4. Let i be c(0). Let m(p) = -p**3 + 3*p**2 + p + 7. Let v be m(i). Is -2 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97\/2 of a millimeter in micrometers?\nAnswer: 48500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5 = -4*a, 3*a - 5*y - 7 = 2*a. Let v be (a + -2 - -11)*3. Let z = v - 23. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p = 18*p + 2. Let w(t) = -3*t + 83. Suppose 6*d = 4*d, 112 = 4*z - 5*d. Let s be w(z). Which is the closest to s? (a) -7 (b) p (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by (-2 + -1 + 0)*650\/(-150)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694879607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o**2 + 3*o - 11. Let a be x(-10). Suppose -d + 254 = -a. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*s**2 + 7*s - 12*s**2 - 58 - 7*s as r + n*s**2 + b*s and give r.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*b - 4*d + 2*d, 2*b - 5*d = 0. Let f be ((-110)\/(-44))\/(-2 + 10\/4). What is the greatest common divisor of f and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 25*f - 21*f + 14, 3*t + 7 = -f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 19. Let x be (-2)\/3 - 138\/(-18). Let q(b) = -b - 28. Let m(w) = x*h(w) - 5*q(w). Suppose 5*y - 26 = n, -4*y + 44 = 4*n + n. Determine m(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 2739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 108*r**2 - 5*r - 68. Let n(k) = -109*k + 3. Let o(p) = -5*n(p) - 3*w(p). Let a(h) = -2*h**2. Give a(o(m)).\nAnswer: -21218*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1\/6 (b) -1\/2 (c) 2912 (d) -4 (e) 4 (f) 41 (g) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61888 + 61885. Let v(s) = -s**2 - 5*s + 1. Let l be v(-5). Let m be ((-2)\/25)\/(1\/l). Which is the third smallest value? (a) j (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180.85 + 5?\nAnswer: -175.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -12 + 11 + 18 + (4 - 13)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2987012 is divided by 2987011.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 21.8742363812.\nAnswer: 26.8742363812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650.4079 millimeters to centimeters.\nAnswer: 65.04079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, i: 2, q: 4, e: 1, u: 3, d: 1}. Give prob of sequence uqe.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m**(5\/14)*m**30 assuming m is positive.\nAnswer: m**(453\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2470, -4947, -7424, -9901, -12378, -14855?\n\"Answer: -2477*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/30*(0 - 4\/6). Let g = 18133\/1953 - -2\/1953. Which is the third biggest value? (a) g (b) y (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3616 - 3612.331. What is r rounded to 1 dp?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, l: 2, s: 2, r: 2, e: 2}. Give prob of picking 1 d and 1 s.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1216) + 2*sqrt(1216) + sqrt(1216) + -1)*-3 + 2 + -1 + (sqrt(1216) + -2*sqrt(1216))*-3)**2.\nAnswer: -1008*sqrt(19) + 98545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226308669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.09 (b) 0.2 (c) -48016 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 51 = 5*y - 149, 4*y + 3*u = 160. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 4435*i**4\/4 - 564*i - 861. What is the first derivative of z(d) wrt d?\nAnswer: 13305*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 - 948\nAnswer: -948.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - -11 - 150\/(-650)*-13. Solve 3*a + 6 = v, -r*a + 7*a + 1 = v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -398 + 696. What are the prime factors of r?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, 2, -263, -1, 4 in descending order.\nAnswer: 4, 2, -1, -2, -10, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(165)\/(sqrt(1100) + sqrt(1100) + -3*sqrt(1100) - sqrt(1100)))\/(-6*sqrt(6)\/sqrt(2) - (sqrt(24)\/sqrt(72) + sqrt(3))).\nAnswer: -4 + 3*sqrt(5)\/440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 3222753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 570*b**2 + 31059*b - 363312.\nAnswer: 3*(b - 87)**2*(b - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 1. Let p(t) = 4*t + 3. Let q(y) = 5*h(y) - p(y). Let v be q(2). Let j = -2 + v. Is 2 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3630 and 210177?\nAnswer: 2101770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 2*p - 4*p)*(-9 + 54 - 1003 - 176) to the form l*p + s and give l.\nAnswer: 3402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 0.09.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.04812 times -13\nAnswer: 0.62556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 15202 and 15178 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17463024, -34926045, -52389066, -69852087, -87315108, -104778129?\nAnswer: -122241150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/6 and -64\/201?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56417 - -10757?\nAnswer: -45440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(4)*-2*1)\/(sqrt(7)*1*-4 + (sqrt(343) - -2*sqrt(343))).\nAnswer: -2*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 209, 312?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1176 and 51576.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8965?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5256521 + 2344.4353479. Let p = -2346 + y. What is p rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 63182*i**2 - 16528720*i + 1076563800.\nAnswer: 2*(i - 130)**2*(i + 31851)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/2 - 17*x**3 + 120*x**2 - 175*x - 625\/2.\nAnswer: (x - 25)*(x - 5)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**5 + 1452*q**2 - 10 + 28 + 135*q**4 + 1289*q**3 - 18 + 295*q**3 = 0. What is q?\nAnswer: -22, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o - 5. Let c(g) = -1. Let n(x) = 1019*x - 1018. Let m be n(1). What is m*k(a) - 5*c(a)?\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1184, 1149, 1090, 1007, 900?\n\"Answer: -12*f**2 + f + 1195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15881, -15872, -15863, -15854, -15845?\n\"Answer: 9*v - 15890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14849452 to the power of 1\/3, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.61 + -1.4. Let x = 1.24 - 2.23. Let h = x - c. What is h rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245, 496, 749, 1004, 1261, 1520, 1781?\nAnswer: 2044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 24348420 to the nearest 10000.\nAnswer: 24350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -15, 0.06, -0.31.\nAnswer: -15, -2, -0.31, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*x**3 - 4134522*x**2 + 68252881 wrt x.\nAnswer: -18*x**2 - 8269044*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.1319, -0.066, 0.03?\nAnswer: -0.1319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2814 + 2818. Let g(a) = a - 2. Let r(k) = -2*k. Let z(f) = -2*g(f) - 2*r(f). Determine z(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71*i**3 + 71*i**3 - 4*i + 16*i**5 wrt i?\nAnswer: 320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007964 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-74)\/(-8) - 2\/8. Let n be (-1491)\/142*8\/(-7). Let a(z) = 16*z - m - 5*z - n*z. What is a(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 51*l - 8246. Let i be c(162). Let r(h) = 11*h - 187. What is r(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 + 4*c**2 + 3*c**2)*(-4 + 4 - 1)*((1 + 3 - 5)*(-6*c + 4*c + 4*c) - 3*c + 3*c - c).\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 390 - 325. Is -1\/4 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1755333 + -3216187. Let u = 6654056 + -4143202. Let n = g + u. What is n rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 6*f**2 - 3*f - 8. Let k(l) = -l - 3. Let u be k(3). Determine x(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (8 - (-9 + (-5 - -24))) + -1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 3*q + 3. Let f be o(2). Let k be (f\/7)\/(1\/(-2)). Let t = 0.5 - 1.5. What is the second biggest value in 0.1, t, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -8. Let i be (-6)\/((-72)\/60*10\/8). What is the nearest to 1 in i, 101, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, 174, 1124, 3086, 6384?\nAnswer: 11342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1725\/420 + -4)*(-16)\/(-3).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40013008 and 2744.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, 22, 172, 406, 718, 1102?\nAnswer: 1552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0082221672 rounded to four decimal places?\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06, -1112713.6, 1\/3?\nAnswer: -1112713.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 22705614 = 5*y, 0*y + 11352808 = -2*i + 2*y. Let f = i + 10264946. Let z = -348540 + f. Round z to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -993\nAnswer: 5\/993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-2\/15)*v\/((v**(-6\/13)*v)\/v*v))**(-9))**(-46))**(4\/19) assuming v is positive.\nAnswer: v**(171672\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8369.88 - -12034?\nAnswer: 20403.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4054 = 2*c, -v + 4*c + 74 - 1070 = 0. Let o = 1651 + v. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - sqrt(104)*-2)\/sqrt(8))**2 - (sqrt(78)\/sqrt(96) - sqrt(13))**2.\nAnswer: 1755\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 27*j - 60.\nAnswer: -3*(j + 4)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -154*j**2 - 83*j.\nAnswer: -308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, j: 2, z: 2, i: 2, c: 1, d: 8}. Give prob of sequence vj.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21253 and 842806.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.11 + 5.11. Which is the nearest to -1? (a) 3 (b) -1\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**3 + 991420*h**2 - 2974253*h + 1982834 = 0.\nAnswer: 1, 2, 991417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -283, -286, -289, -292?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 12*c**2 - 12*c + 44. Calculate n(-6).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/209 and -77\/38?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + u**2 + 2 - 7*u - 3)*(3 - 3 - 2*u**2).\nAnswer: 2*u**4 + 14*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 5*v - 1. Let w be t(4). Let j(k) = -k - w*k + k + 2*k. Let o(u) = -2*u. Determine o(j(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 280 and 2?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45876*x - 91751*x + 45875*x - x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 10*j**2 - 3*j + 8. Determine i(-11).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 204568240 or 204568241?\nAnswer: 204568241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9916 is divided by 1981?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -2\/5, 130, -0.1, 729, 11, 0.07?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -7. Let j be 0 - q\/(4\/(-8)). Suppose -b + 4*w = j*w - 4604, 5*b - 2*w = 23004. Round b to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*1*(15 - (75 - 69)) + 1796\/200\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -0.069 (b) 3 (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8595442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:36 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 l when three letters picked without replacement from tllltltltltltt?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-10 - (-4 - -7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11520000 to the nearest one hundred thousand.\nAnswer: 11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -950, 2, -1, 437 in decreasing order.\nAnswer: 437, 2, -1, -2, -4, -950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/7))**(-20)\/(k**(-18)\/(k**(2\/83)\/k)) assuming k is positive.\nAnswer: k**(16531\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1349990483 to the power of 1\/3, to the nearest integer?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 6\/7 (b) 1\/3 (c) 12\/35 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h\/(h\/h**(-4\/3)))*h)\/h*h**(-2\/7)\/h*h)\/(h**0)**(-1\/11))**(11\/2) assuming h is positive.\nAnswer: h**(121\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 2. Let w be (-80)\/(-14) + 6\/21. Suppose 11 = -3*x + 2*x + 4*m, -3*x - 2*m - 5 = 0. Let f(c) = -c - 1. Calculate w*f(y) + x*k(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, s: 11, u: 3}. What is prob of sequence spu?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1974496757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 11:05 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 29. Solve 2*i = n, 4*n - 4*i - y + 2 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27, -60, -99, -144, -195, -252?\n\"Answer: -3*q**2 - 24*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 140 - 149. Let c be (s - -8)*2*(-15)\/6. What is the highest common divisor of c and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 185407*g**2 - 2*g + 5. Let c be t(1). Round c to the nearest 1000.\nAnswer: 185000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**2 + 7*t**2 + 4*t**2)*(0 - 3 + 4 + t)*(-1 - 1 - 2).\nAnswer: -68*t**3 - 68*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 6 (c) -2\/19 (d) -567\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1242\/(-174) + 7*1. What is the nearest to w in -3\/2, 1\/5, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157527*y**3 - 157578*y**3 + 1 + y**4 + 3*y**4 to s*y**2 + v*y**3 + b*y**4 + n*y + p and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 4. Let k = y - -7. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-14 + 8) - (-34 + 14 + -8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.964471 + 0.153161. Round j to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-1 - 44\/(-12)). Let k be 0\/(4\/s*-6). Suppose -q + k = 2. Put q, 1, 1\/2 in decreasing order.\nAnswer: 1, 1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 6\/213845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 83113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4*a - 48, s - 8 = -0*s + 4*a. Let k(x) = -8*x**3 + 50*x**2 - 8*x - 21. What is the remainder when s is divided by k(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 36 = -0*o. Let m = o + -11. Solve -m*u = -2*u + 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 + 64. Let u(l) = 3*l - 4. What is the smallest common multiple of i and u(6)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 938256062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2867*s = 144926 - 365685 for s.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1153*m. Let x(v) = -64662*v. Give j(x(i)).\nAnswer: 74555286*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 0*z**4 - 8*z + 23 - 12\/5*z**5 - 1\/3*z**3 + 3\/2*z**2. Find the second derivative of p(n) wrt n.\nAnswer: -144*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1840\/874 - (-4)\/(-38). Find the first derivative of 2 + 7*m + 2 + k*m + 25 wrt m.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 106*m**2 + 2008*m - 1979. Let k(n) = 59*n**2 + 1005*n - 989. Let w(v) = 9*k(v) - 5*x(v). Let w(c) = 0. Calculate c.\nAnswer: 1, 994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 - -119?\nAnswer: 14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -188 - 0.1\nAnswer: -188.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1228\/(-330) - (-96)\/60 and 6\/8*301\/126?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1295234377 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -103551, -103552, -103545, -103524, -103483, -103416, -103317?\n\"Answer: d**3 - 2*d**2 - 2*d - 103548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233171323 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 15. Let l be h(-13). Let d be -4 - l*(-11 + 0). Suppose 4*a - 8 = -4*w, -a + 4*a = w + d. Solve 2*s - 3 = -5*y, -a*y - 2 = -s - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**5\/2 + 255*u**4\/4 - 7347*u**3\/4 - 10195*u**2\/2 + 3000*u = 0. Calculate u.\nAnswer: -3, 0, 1\/2, 50, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 12:40 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -8*f + 50. Let p = 27 - 21. Let c be t(p). Let m(l) = 7*l - 2. Let w be m(4). Solve 5*i = c*k - w, 4*i = -0*i - k - 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 t, and 1 c when three letters picked without replacement from {j: 3, t: 1, c: 1, u: 1, d: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14809978 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 288991418 to the nearest integer?\nAnswer: 17000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01 + -4.99. Let a = c - 0. What is the smallest value in a, -4, 0.04?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 1\/((-2)\/6). Suppose 0 = -3*w - 5 - 4. Let n be w\/4 + i\/(-20). Which is the closest to -1? (a) -1\/4 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -2, 2\/7, 5, 3\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 887, 0, 8 in descending order.\nAnswer: 887, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - -4*(sqrt(104) - -2*sqrt(104)))\/(sqrt(8) - ((2*sqrt(56) - sqrt(56))\/sqrt(7) + sqrt(8)) - sqrt(8)).\nAnswer: -13*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -28. Suppose -5*v - 3 - 12 = 0. Let z be -4*(34\/(-12) - v). What is the second biggest value in -0.2, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-54)\/(-8) - (-10)\/40. Let q = p - 3. Let n(a) = 7*a**2 + 6*a + 4. Let h(l) = 3*l**2 + 3*l + 2. Let s(g) = -9*h(g) + 4*n(g). Determine s(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 67, 12, 0.2, -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8*x + 4*x + 3*x + 11. What is the units digit of u(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -445 and -0.5.\nAnswer: 222.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 1 = -35 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x. Let j(f) = f + 1. Let d(b) = -j(b) + u(b). Let o be d(-1). Find the second derivative of -h**4 + 3*h**4 - 3*h**4 - o*h wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z - 2*z + z)*(-4*z + 4*z + 2*z) + (4*z - 3*z - 5*z)*(-5*z + z + 2*z)*(2 + 2 - 1) to n*z + b + c*z**2 and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.8487 * 0.3.\nAnswer: -3.25461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 5 (c) 1\/8 (d) -90 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 divided by -20?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99360043*b**4 + 28832072*b wrt b?\nAnswer: -1192320516*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -853, -3171, -6955, -12205, -18921, -27103, -36751?\n\"Answer: -733*z**2 - 119*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.65 * 874957\nAnswer: -2318636.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from {d: 2, o: 1, a: 2, k: 3, y: 1, n: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 25?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 k, and 2 j when four letters picked without replacement from {v: 3, k: 1, i: 5, y: 1, c: 4, j: 3}.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.032 + 0.175. Round r to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + t - 43678300*t**2 + 43678301*t**2.\nAnswer: t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.38 and -312.\nAnswer: -742.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/3 - 3)*27\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 * -0.3\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**6\/120 + x**5\/15 - x**4\/12 - 2*x**3\/3 + x**2. Calculate the lowest common multiple of 196\/9 + 4\/18 and r(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1580, -1579, -1578, -1577, -1576?\n\"Answer: m - 1581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16442579?\nAnswer: 2111, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/(322\/196))\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -9. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (1*sqrt(34)\/sqrt(2))**2)*3 + sqrt(170)\/((sqrt(20) + (sqrt(20) + sqrt(20) + (sqrt(20) - sqrt(320)) - sqrt(20)))\/sqrt(2))*-2*2.\nAnswer: -396 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, s: 1, f: 4, l: 2, k: 2}. What is prob of picking 1 s, 1 d, and 2 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -327, -461, -595, -729?\nAnswer: -863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -179 + -773?\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 2. Let v(f) = 9*f + 1 - 45 + 8*f - 20*f. Let j be v(-14). Let y(s) = -3 + 1 - 1. Determine j*y(p) + 3*o(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 divided by 1144?\nAnswer: 85\/572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -3.2921 (c) -0.2 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-5) - (-530)\/50. Suppose -19 + q = -4*n. Find s, given that -4*s**n - 8*s + 0*s**2 + 10*s**2 - 12 - 2*s**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*b**3 - 879 + 879 - 15*b**3.\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 0, -1, 4, 28 in decreasing order.\nAnswer: 28, 4, 2, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 530427467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*1*-6.\nAnswer: -30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50138 and 278.\nAnswer: 6969182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2. Let c(b) be the first derivative of 0*b**3 - b + 0*b**2 + 11 + 1\/12*b**4. Let k(s) be the first derivative of c(s). Calculate k(f(d)).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4641*d**3 + 6*d + 1. Let f(w) = -3*w**3 + 2*w**2 - 5*w - 2. Let b(x) = 3*f(x) + q(x). Find the third derivative of b(y) wrt y.\nAnswer: -27900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/39*(-473031)\/1866\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**3 + 10*z**2 + 33*z + 22. Let r(j) = 9*j**3 - 21*j**2 - 64*j - 44. Let g(s) = 7*k(s) + 4*r(s). Does 5 divide g(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q**(-2\/13)*q*((q*q\/((((q*q\/(q\/q**(-3\/2)))\/q)\/q)\/q)*q)\/q)\/q assuming q is positive.\nAnswer: q**(191\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 2189*c - 467766. Give y(240).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 592 divided by 4\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 42*m = 47*m - 13, -z - 3*m - 2 = 0. What is the highest common factor of 56 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57569 - 604025 = -24*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*y - 47. Calculate the lowest common multiple of y and 1\/(-1) - (-4 - 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745816334?\nAnswer: 2, 372908167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20712.56951 + -20701.27. Let t = -11.3 + k. What is t rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 - 4412*y**3 - 8812*y**2 - 4404*y.\nAnswer: -4*y*(y + 1)**2*(y + 1101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2714 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 3*t**2 - 2*t - 3. Let w be o(-3). Suppose -4*q + 3*c + 0 = 3, -w*c = -q - 12. Let m(s) = s + 3. Let i be m(-2). Solve -i = q*a - 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 543 - 541. Let v(l) be the second derivative of 0 + 1\/12*l**4 + 0*l**3 + l - 3*l**h. What is the derivative of v(g) wrt g?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*c + 2*o + 15, 0 = -3*c + 5*o + 9. Let t(j) = -j**2 - 4*j - 2. Let v be t(c). Suppose n - 2*n = q + v, -4*n = -q + 23. Is 2 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-16))\/(1\/8). Suppose 2*i = -c + 113, b*c = 2*i - 0*i + 238. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/35*(-10)\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-728)\/21) + (-2366)\/(-208)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 11 = 139. Let s = 16 + -12. What is the greatest common factor of s and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26007, 26009, 26011?\n\"Answer: 2*s + 26005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3 - 9. What is the greatest common factor of n and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 2*v**2 + v + 64. Suppose -33*n - 21 = -36*n. Suppose 2*t = 6*t - n*t. What are the prime factors of l(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 141 = 5*t, 2*j + 3*j = 4*t + 98. Let k be t\/7 + -2 + 1. Let m = k - -36\/7. Which is the closest to 0.1? (a) 5 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -8*p + 3. Is l(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1244?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahaq when four letters picked without replacement from hqhahahhhh.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*((-8)\/(-10) - 1). Let c(t) = t**3 + 8*t**2 + 3. Let p be c(-8). Put -1, p, x in decreasing order.\nAnswer: p, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 32 + 47 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01 from 2717902881.\nAnswer: 2717902880.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 - 24. Let n = -43 - -63. What is the remainder when w is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3321*k - k**3 + 3321*k.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 980 and -0.4.\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1739\/13976 - -1\/1747. Sort 53, 1, d, -4.\nAnswer: -4, d, 1, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -9. What is the third derivative of y*l**5 + 5*l**6 + 26*l**2 - 3*l**6 - 4*l**5 + 4*l**2 wrt l?\nAnswer: 240*l**3 - 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.8958673 weeks?\nAnswer: 9030.342384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 115 = -3*j + 40, 5*w + j - 89 = 0. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -6, -j = j - 6*q - 602. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by 37201.\nAnswer: -66\/37201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 12 = 6*k - y, 3*y + 2 = -5*k. Differentiate c**4 - 24 + 207*c**2 - 207*c**k wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p - 355 = 46*p + 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -5*v**4\/12 - v**3\/2 - 3*v**2\/2 - v. Let m = 11602 + -11607. Let r(w) = -11*w**2 - 7*w - 7. What is m*b(x) + 2*r(x)?\nAnswer: 3*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 1\/3*q**3 + q + 1\/12*q**4 + 0 - 4*q**2. What is the remainder when 31 is divided by p(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5707*n - 3955*n - 176*n - 149*n to the form m*n + s and give m.\nAnswer: -9987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*c**2*x**2*z + 16*c**2*x**2 + 2*c**2*x - 29*c*x**2 + 692*x**2*z + 2*x*z with respect to z.\nAnswer: -7*c**2*x**2 + 692*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from suojjssgoo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*o + 44 = 196*o. Suppose 4*z + 12*n - 47 = 7*n, o*z - 11 = -5*n. Solve 0*w + z = -6*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/5))\/a)**(-1\/2) assuming a is positive.\nAnswer: a**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -u - d + 27, 4*u + 2*d - 18 = 0. Suppose -3*l = i - 20, 0 = -u*i + 8*i + 4*l - 34. Let f(n) = n - 9. Give f(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493455573 a multiple of 680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*56\/(-36)*(-75)\/(-100)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -12)*1\/4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 29407.19\nAnswer: 14703.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + 0 + -1 + sqrt(175) + (sqrt(175) - (3 + (sqrt(175) + 1 - sqrt(175)))) - 6*(sqrt(175) + 1)*-1)**2 + -4.\nAnswer: 90*sqrt(7) + 14172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y**3 + 0*y**3 - y**3)*(-5 + 13 + 6) - 5*y**2 - y**3 - 5*y**2 + 3*y**2 + y**3 + 2 - 2 to the form p*y**2 + z + s*y + g*y**3 and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 0 - 2 + 2 - 1. Let u(k) be the third derivative of -k**4\/24 + k**3\/6 + k**2. Let t(a) = 4*a - 10. Let b(c) = 3*t(c) + 15*u(c). Give b(j) - 15*i(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.5191498 to one dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 5:38 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34887144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s**3 + 3*s + 1. Let p(t) = 17*t**3 - t**2 + 6*t + 1. Let y(w) = -7*g(w) + 3*p(w). List the prime factors of y(-2).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100101100100001101 (base 2) to base 10.\nAnswer: -1464589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11496503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 407583890?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z + 3. Let b(h) = -14*h + 10. Let g(i) = 3*b(i) - 10*l(i). Let u(j) = 14*j. Let r(q) = -44*g(q) - 6*u(q). Let d(a) = a**2 - 7*a. Give d(r(k)).\nAnswer: 16*k**2 - 28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 17*j + 23. Let n(f) = -f - 1. Give i(o) + 3*n(o).\nAnswer: 14*o + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + h + 4 - 3 - 2. Let s(i) = -4*i**2 + 3*i - 2. Let z = 170 - 169. What is z*s(x) - 3*d(x)?\nAnswer: -x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4838)\/(-5))\/(4\/20). Suppose -5787 - m = -5*y + 5*v, 0 = 4*y - v - 8491. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299725 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -110110101010010 (base 2) to base 14\nAnswer: -a2b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4244195 by 848839.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 6*i + 3. Let y be ((-6)\/18)\/(2\/6). Let k be 4\/y*(-3)\/2. Calculate f(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2. Let g(m) = -3213*m**2. What is g(k(q))?\nAnswer: -12852*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 27 = 4*o, -2*h = 4*o + 4 - 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -2. Suppose 5*d = 2*c - 4, 4*d = c + 4 - z. Suppose -c = -u + 2*x, 0 = 7*u - 3*u - 3*x - 23. Solve 10 = r - 3*h, -3*h + 5 = -5*r - u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 3*r + 32 + 3*r.\nAnswer: r + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -7 + 6 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -118.44, 0.1, 23, 1 in decreasing order.\nAnswer: 23, 1, 0.1, -118.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-1))\/(5\/((-60)\/8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 53, 106, 1637.\nAnswer: 2, 53, 106, 1637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9*r + 9. Let c(d) = -8*d - 8. Let x = 2118 + -2124. Give x*a(h) - 7*c(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1875 - 4*s + 9437 - 4*s + 7*s.\nAnswer: -s + 7562","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25656 (b) -3 (c) 1\/2959\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12196*c**3 + 3 + 12200*c**3 + c**2 - 24397*c**3 - c to u*c**2 + p*c + h*c**3 + d and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 70*t + 563. Let h be i(10). Which is the third smallest value? (a) 0.2 (b) 12\/13 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r - 66 - 4. Put r, 28, 1 in ascending order.\nAnswer: r, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 105 + 105.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**3 - a**2 - 171*a + 2*a**4 - 7*a**2 + a**2 + 169*a - 2 + 0*a**4 to v*a**4 + s*a + x*a**3 + c + z*a**2 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462614.4l to millilitres.\nAnswer: 462614400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*u - 24, -b + 1 = u - 4. Let w be b\/2 + 2\/4. Suppose -28 - 60 = -w*t. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 536*d**2 - 26770*d - 109. Give o(46).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 - 25*l**2 - 10*l - 8. Let j be s(-8). Solve -16*p + 8*p = -j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -5. Suppose -3*d + 2 = 2*t, 2*t - 1 - 1 = 0. Let o be 1*1\/((-1)\/(-3)). Sort r, d, o in descending order.\nAnswer: o, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1704 + -1195. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.7 - 12.7. Which is the biggest value? (a) 3\/8 (b) k (c) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 1608535.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 4*n - 13, -5*q + 48 = -2*n + 79 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z + 0*z)*(-z**3 + 0*z + 0*z)*(-221*z - 619*z + 130*z).\nAnswer: -710*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 231588 divided by -5514?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssj when three letters picked without replacement from sjs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -11*q**3 + 2*q**2 - 711*q - 2. Let j(f) = 2*f**3 - f**2 + f + 1. What is -2*j(i) - o(i)?\nAnswer: 7*i**3 + 709*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35\/2 - -18. Find y such that 0*y - 1\/2*y**2 + f = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 3107?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cbd20 - 32?\nAnswer: -cbd52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -24\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -7) + -40 + 24?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-2 - ((0 - -7) + -38 + 19))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 h when three letters picked without replacement from ohhhhhhohhhhhhohhho.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/5 + (-322)\/(-70). Let s = d - 4. Which is smaller: s or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483410009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -432455 = 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2*n + 2*n**4 + (n - 3*n + 3*n)*(4*n**3 - 3*n**3 + n**3) + n**4 - n**4 - 3*n**4)*(-22 + 4 + 0).\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3094144 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 770, 440, 122, -178, -454?\n\"Answer: f**3 - 337*f + 1106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - -0.1. Let k = 0.3 - -1.7. What is the nearest to k in 1, w, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0228 + -93.6772. Let k = 23.1 - 123.1. Let u = k - q. What is u rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -2 (b) -4 (c) 0.5 (d) 0.43 (e) -303.5 (f) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-3 - (-10)\/((-20)\/(-18)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 2 - 2)*(2405 - 3355 - 2491)*(-3*a**2 - 4*a**2 + 5*a**2) - 1 + 1 + a**3.\nAnswer: 20647*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23711426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -14*(-5 + 3) - -3. Let c = g + -28. Solve -2*j - c*j = -10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7860 + 7867. Solve f*i + 33 = 75 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 824029 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 - n**2. Let c be i(-1). Let v(d) = 4*d**3 - d - d**2 + 4 - 6*d**3 - 4*d**2. Let x be v(c). Calculate the greatest common factor of x and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 0) + 1 + -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-35)\/(-80)*8).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 11*c**2. Let a(i) = 5293357*i. Calculate a(w(p)).\nAnswer: 58226927*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32266 = -5*j + 2*g, j + 2*g - 8726 + 2268 = 0. What are the prime factors of j?\nAnswer: 2, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/114099 and 19\/4842?\nAnswer: 184155786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3051 + 27*f + 2*f**4 - 3051 + f**2 to l*f**4 + c*f**2 + o*f**3 + z*f + a and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -692520, -1384964, -2077334, -2769630, -3461852, -4154000, -4846074?\n\"Answer: 37*w**2 - 692555*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 481 + -310. Calculate the remainder when j is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -23679 to the nearest one hundred.\nAnswer: -23700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2324, -2390, -2456, -2522, -2588?\n\"Answer: -66*c - 2258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 3*m**2 - 2*m - 4. Let w be n(-3). Let k = -1815 + 1818. Solve -w*t + 5*t = -k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxxxwxxxwxxwpywxxxy. What is prob of sequence xyy?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a - 25*a + 10 = 3*w, -20 = 5*w + 4*a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 5:13 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1549 is divided by 85.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, d: 4, t: 2, j: 1}. What is prob of sequence twd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 780\/81250*(-95)\/114?\nAnswer: -1\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7. Let b(t) = -6*t + 32. What is 3*b(z) + 15*f(z)?\nAnswer: -18*z - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*m + 5*m + 3420. Round m to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*t + 5*i + 14, 2*t - 2 = -2*i. Let s(m) = -m + 2*m - 94856 + 94854. Determine s(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 4, 1\/4377, -0.01, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: 1b42 (base 15) to base 16\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/4160 and 119\/60?\nAnswer: 12480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - (-101 - 158185\/(-1190))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1230, 825, 438, 75, -258, -555?\n\"Answer: z**3 + 3*z**2 - 421*z + 1647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.14 + 1.26. Let b = j + -7.5. Let a = 0.4 + b. What is the nearest to -2\/3 in -6, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1475*0.28.\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 3180307?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o. Let t = -18 + 18. Let g(b) be the first derivative of -2 + 1\/2*b**2 + t*b. Determine f(g(k)).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**10)**(1\/14)\/(r**(-18)*r\/r**(2\/67)) assuming r is positive.\nAnswer: r**(8322\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, -12, -3591.\nAnswer: -3591, -12, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/42348 and 89\/420.\nAnswer: 1482180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 - 7856 + 7856 + 2*g + 653*g**2 + (g**3 + 0*g**3 + 4*g**3)*(-6 + 1 + 3).\nAnswer: -9*g**3 + 653*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/61)*l*l*l**(-31\/4))**(11\/5) assuming l is positive.\nAnswer: l**(-15521\/1220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 4*q**2 + 6*q + 2. Let s be d(5). Let r be 2\/((-80)\/28 + 3). Suppose -3*k = -k - r. Is s < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1088, -2372, -3806, -5390, -7124, -9008, -11042?\nAnswer: -13226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1461*i + 225 = -1457*i - 5*x, -x - 177 = -3*i. Solve -17*u = 59 + i for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.48, -64\/3, 0.1, -0.2905?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1818393, -1818390, -1818387?\n\"Answer: 3*g - 1818396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (181 + 378 - 89 + 429)*(0*c**2 - 4*c**3 + 0*c**2).\nAnswer: -3596*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, q: 1, n: 1, a: 2, v: 1, r: 2}. What is prob of picking 1 s and 1 v?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 96\/7, -0.5, 2\/31 in increasing order.\nAnswer: -0.5, 2\/31, 96\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 87357\nAnswer: -1\/87357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 518, 506, 460, 362, 194, -62?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwvwwwwwwwwvwwwv. What is prob of picking 3 w?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -51973 - -271248\nAnswer: 219275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1123 and -100.\nAnswer: 112300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**3 + 5*n**2 + 4*n. Give q(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.008446852\nAnswer: -0.016893704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2206208\/(-576) + (-2)\/(-9). Which is bigger: r or -3831?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -16. Suppose -5 - 13 = -6*c. Suppose 0 = -9*o - c*o. Solve -4*y = -5*b - 2*y + 15, o = -v*b + 3*y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/8)\/(3\/(-108)). Let r = -51 + q. Let f = r + 101. Solve -2*h = 2*y + 2, y - f*h + 25 = -0*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -180 - -183. Solve -h*j + 8*j + 10 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5*u + 2*w + 14, 2*w + 6 = 0. Let x(t) = -4*t**2 + 4*t**2 - 2*t**u. Let q(s) = s**2 - 13387*s + 13387*s. Calculate q(x(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 206\/135 - 52\/27. Let w = 1 - 1. Which is the closest to j? (a) w (b) 4\/9 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 3*g + 10. Let r be h(-5). Suppose 5*m - 5*l - 110 = 0, -2*l - l - 6 = r. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.3, -0.03, -5, -11\/3, 28\/11, 7, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -99417*c**4 + 7*c**2 + c + 604?\nAnswer: -2386008*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 0. Let o = v - 20. Let s = 7 - o. Solve -a + 0*a = -s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.046 * 2608\nAnswer: 119.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -570242*f + 285112*f + 285126*f. Let l(h) = -41*h - 29*h + 18*h. Calculate l(p(z)).\nAnswer: 208*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 81, 14 in increasing order.\nAnswer: -1, 14, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1308 is divided by 53.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4026 and 1914?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 838 and 111035?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24854 and 3026.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50707*l*s**4 - 328192*l*s**2 - 29*l*x - l - 24*s**4*x + 2*s**4 - s wrt s?\nAnswer: -1216968*l*s - 576*s*x + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 h, and 1 z when three letters picked without replacement from zhzzohozzozoooooo?\nAnswer: 27\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 40.75?\nAnswer: 8.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + 4*i**3 - 4*i**3)*(105*i + 65*i - 5*i).\nAnswer: 330*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 7*c**2 + 2*c - 12. Suppose 4 + 1 = -5*o. Let m be (-22 - -27) + o + 3. Let j be z(m). Solve 2*d + j*d = 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -4. Suppose 4*o = -2*t - k*t + 22, 0 = -4*o + t + 10. Let r = 5 - o. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 13*q - 12*q - 18242, -4*q + 72987 = g. Is 170 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 1 + (8 - 11). Let o(w) = -5*w - 1. Let f(q) = -6*q - 5. Let y(u) = 11*u + 11. Let r(n) = -7*f(n) - 3*y(n). Calculate d*r(z) - 5*o(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r - 15. Let d be l(6). Suppose 0 = -2*n - d*b + 15, n + 5*b = -0*n + 18. Solve -6*x + 3*x = n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*h + 3)*((h**2 + h**2 - 3*h**2)*(0 - 2 + 4) + (4*h - 5*h + 2*h)*(-6*h + h - 7*h)) + (-2*h**2 + 3*h**2 - 3*h**2)*(-2 + 2 + 4*h).\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 215\/308 - -4\/77. Let l = -79\/3 + 26. Let m = -4.5 - -4.2. What is the closest to l in m, -1, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhrtotr. Give prob of sequence rt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*b - 25. Suppose -b*w - 50 = -5*l, -3 = -l + 2*w + 8. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 166, 175, 328, 715, 1426, 2551?\n\"Answer: 15*k**3 - 18*k**2 - 42*k + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 62 = -3*u - 45, 9 = -z + 2*u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -20.07 and 0.13.\nAnswer: -19.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*r - 0*l - 47, -3*r + 68 = 2*l. Let n = 49 + r. List the prime factors of n.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7298, -7296, -7296, -7298, -7302, -7308, -7316?\n\"Answer: -n**2 + 5*n - 7302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1434985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 7*s - 4. Let i be k(6). Let c(m) = -m**3 - 12*m**2 + m + 14. Let l be c(-12). Solve -l*r = -3*r + i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 2:39 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 5\/3*p**3 + 5\/4*p**4 + 0*p**2 + 0*p - 4. What is the third derivative of d(g) wrt g?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/7 - 2938702*c**3\/7 - 1439324322510*c**2\/7 - 234982649537313850*c\/7 + 939953627526493000\/7 = 0.\nAnswer: -489785, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*m - 12*m - 6*m - 2 - 11*m in the form l + o*m and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 2*o = 172. Let c = o - 38. Find the second derivative of -6*d**5 - 20*d + 19*d**c + 2*d**5 wrt d.\nAnswer: 300*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50955*z - 23625 = -50640*z for z.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -b6?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1931564 is divided by 137.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + h + 0*h = -22, -5*f + 114 = -h. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, y: 4}. What is prob of sequence yyr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*i + 2 - 3, 5*p + 3*i - 53 = 0. Let c = 8 + -5. Suppose 0 = -4*l - c*k + 22, -4*k + p = 3*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a decade?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -547.3 + 519. Let d = -28 - c. What is the second smallest value in d, 2, -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/7 - 18201*k**2\/7 - 850718*k\/7 + 429909\/7 = 0. What is k?\nAnswer: -47, 1\/2, 9147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = -8*p - 28*p + 80496. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2128 and 44?\nAnswer: 23408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*2\/(-6)*-3. Let f(u) = u**3 - u. Let x be f(-1). Suppose 2*g + 1 = h, x = 3*h - 4*g - g - 2. Sort z, h, 0 in increasing order.\nAnswer: h, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 21. Let x = -7 + a. Calculate the remainder when 36 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3671345, 3671297, 3671249, 3671201, 3671153, 3671105?\nAnswer: 3671057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103029?\nAnswer: 3, 61, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 6*d**2 + 4*d - 6. Let i = -252 - -245. Let u be l(i). Solve u = -8*o + 13*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 3033.8.\nAnswer: -3035.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122071 is divided by 65?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 1:48 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 51 - -38 - 101?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 6. Calculate g(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1391*v**2 - 1391*v**2 + 3*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/11)\/(n*n**(-1\/2)*n))\/(n*(n\/n**(4\/9))\/n*n*(n\/(n*(n*n*n**(3\/5))\/n))\/n) assuming n is positive.\nAnswer: n**(-631\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*y - 146*y = 225. Calculate the greatest common factor of y and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29845728 and 339156?\nAnswer: 29845728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 + 1. Let m be z(-1). What is the third derivative of -8*u**3 + m*u**4 - 987 + 987 - 85*u**2 wrt u?\nAnswer: 96*u - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8334 + 0.1666. Let y = -15.73 + 0.23. Let x = 15 + y. What is the nearest to a in 0.2, x, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 + 163 + b**2 - 79 - 82 to p*b + t + n*b**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 g, and 1 k when four letters picked without replacement from skgsskkkzgzs?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13a + 2?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8871713 and 72967.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*j + 0)*(0*j**4 - 4*j**4 + 2*j**4) + (-6 + 2 + 32)*(0*j - j - j)*(-80*j**3 + 80*j**3 - 7*j**4).\nAnswer: 388*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1245 divided by -3\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -189, -436, -793, -1266?\nAnswer: -1861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4}. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 400300045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -216 - -216.147. Round u to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 943.9408 meters?\nAnswer: 94394.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*5\/24*(-26)\/(-325)*-265?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1988 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3200*p**2 + p - 1. Let q(s) = 9600*s**2 + 3*s - 3. Let y(r) = 6*q(r) - 17*u(r). Let v be y(1). What is v rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23)\/(-7) - (-2)\/(-7). What is the second derivative of u*p + p + 4*p - 6*p - 3*p**3 wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, d: 2}. Give prob of picking 1 d and 2 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 99 (b) -1\/2 (c) -3\/77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13636 equal to 13630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7)*g\/((g**(-3\/7)\/g)\/g*g)*g)\/((g**(-5\/3)\/g)\/g**(-2\/7)) assuming g is positive.\nAnswer: g**(128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -43*b**2 - 5*b + 6. Let r be s(2). Let f = r + 470. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3 + 48*j**2 + 525*j - 1250 = 0.\nAnswer: -25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 4*w + 5. Suppose 5*p - 10 = -0*p. Let c be -6 - p\/((-2)\/2). Let t be a(c). Solve -4*y - 1 = -t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 2*r - 6. Let i(x) be the first derivative of -x**3\/3 - x**2 + 5*x + 145. What is -5*b(g) - 6*i(g)?\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 14689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 283?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -34425332 (base 6) in base 9?\nAnswer: -1886782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/49875926 and 149\/237882.\nAnswer: 149627778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/3 + -4\/3. Let w = -970\/731 + 52\/43. What is the second smallest value in 11, f, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1509763, 1509767, 1509771, 1509775?\nAnswer: 1509779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -15. What is the units digit of 2 + 2*3\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*h - 240*h = 495 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 1. Let l be y(-6). Suppose -l*j - 28 = -2*o, 2*o + o - 67 = -5*j. Solve -3*w = 2*f + 11, 4*w + o = 2*f + w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 5. Let o(u) = -13 + 2 + 4 + 4 + u. Let g(h) = -5*f(h) + 4*o(h). Give g(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from ddnindidniddd?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 233 = 243. Let r be 1*4\/(-16) + (-1572)\/(-16). Suppose -9*h + r = -d. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 + 0*y**2 - 29 - 84 to the form x*y + b*y**2 + q and give q.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.228191 - 1210.\nAnswer: -1210.228191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y - 8. Suppose 0 = 3*t + 3*k + 3 - 405, -4*k + 264 = 2*t. Calculate the lowest common multiple of t and s(-4).\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95347 and 234641.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81386 is divided by 3130.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -13*l - 14. Give u(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (26 + 12) - -42\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-5)\/(-30)*-22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-45)\/(-39) + (-4)\/26. Let a be (z + -4)*(-16)\/(-12). Let j be (2 - -2) + 16\/a. Solve j = -x + 3*x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9179074 and 2786?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3562.4456236 plus -385?\nAnswer: -3947.4456236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*p = 14, 2*o + p + 11 = 1. Let c be (o\/5)\/(4\/(-10)). Suppose c*f - 37 = -f - v, -v = -f + 19. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-56)\/(-42)*(28\/(-8))\/(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2531573292 plus 0.2?\nAnswer: -0.0531573292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -509 in 21, 24\/5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9153)\/2)\/9*8\/3. What is the tens digit of (8\/28 + z\/(-7))\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/1 - 0 - -63. Let g = 46 + -39. Let q be (g\/6*-4)\/(3\/(-27)). What is the highest common divisor of k and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.31046 and -7.\nAnswer: 16.17322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 50*d**2 + 65*d - 110.\nAnswer: -5*(d - 11)*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -72 + 6 + 0*r + 20*r + 6*r. Let g be q(2). Let j(b) be the first derivative of 3*b**4\/2 - 14*b - 1. Let f(y) = 2*y**3 - 5. Determine g*f(o) + 5*j(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 = -0*k. Let c(i) = 4*i**2 - 5*i + 3. What is the units digit of c(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6506 - -0.6492164. What is r rounded to five dps?\nAnswer: -0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 3) in base 2?\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3 - 3918*t - 2.\nAnswer: -3918*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 3*g**5\/20 - 2*g**2. Let n(k) = 7*k - 11*k + 257 - 257. Give l(n(j)).\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - m + 1. Let r(k) = -k**3 - 6*k**2 - 6*k - 8. Let n(j) = -q(j) + r(j). What is n(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 2*g + 10. Let v(l) = l**2 + 8*l + 10. Let s be v(-5). Let d be u(s). Let o be ((-16)\/d)\/((-24)\/(-60)). Solve -7 - o = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8892274t?\nAnswer: 889227400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*i = -2080 + 172 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 806\/130 + -6.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15231336 - -4?\nAnswer: -15231332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 93*a**3 - 7*a**2 - 12*a + 2. Let c(y) = 186*y**3 - 15*y**2 - 33*y + 5. Let j(w) = -4*c(w) + 9*t(w). Find the second derivative of j(s) wrt s.\nAnswer: 558*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3249464 millilitres to litres.\nAnswer: 0.0003249464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2094 is divided by 70.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 17*m + 70 = -13*m + m, q + 3*m = 22 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -a - 32, 2491*a - 2495*a = k + 148 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-543)\/7 - (-363649)\/231413?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7920 and 30?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*(-4 + sqrt(13)) + -5 + 5 + sqrt(156)\/(-5*sqrt(300)))*-5.\nAnswer: -49*sqrt(13)\/5 + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1521*h**2*j**3 + 9*h**2*j + 5*h**2 - h*j**3 + h + 3*j wrt j.\nAnswer: -9126*h**2*j - 6*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -200 by -61.\nAnswer: 200\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 751.057mm in micrometers?\nAnswer: 751057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159231?\nAnswer: 3, 53077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.9305 and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 8 - 5. Let k be -4 + o + 1 + -1 + 100. Let p = k - 50. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 353404665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -259\/3 - -87. Is 0.12 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 11*v + 96. Let d be y(-9). Suppose -4*u + 5*x + 204 = -2*u, 5*u + 2*x - 481 = 0. Does 32 divide d + (-2)\/(-1) + u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76631555461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21976 is divided by 449.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/2 - 175*u**3\/8 + 427*u**2\/2 - 52*u = 0. What is u?\nAnswer: -52, 0, 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onojzzojtojzjqo. What is prob of picking 2 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259 = -11*p - 292 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2750445*g**5 + 2930728*g**2?\nAnswer: 165026700*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 8*v**2 + 7*v. Let j(h) = -10*h - 1. Let o be j(-4). Let q be (-3)\/(-6) + o\/(-6). What are the prime factors of a(q)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69697 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-4) + (-165)\/(-30))\/1. Suppose -3 = b*i + 2*w, -2*i + 1 = -5*i - w. Sort -32, 4, 3, i in ascending order.\nAnswer: -32, i, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-21))\/(1000\/(-175)). Which is the second biggest value? (a) f (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a year?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*p - 44*p + 38*p - 691866. What are the prime factors of p?\nAnswer: 3, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 4*o - 17. Let g = -13 - -6. Let z be i(g). Suppose 3*p + 0*p = z. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 10) to base 3\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 736965*h**2*s**2*w**2 - 2*h*s*w**2 - 51*h*w**2 + 501*s**2*w**2 + 66*s**2*w wrt h.\nAnswer: 1473930*s**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -414.397008 take away -0.5?\nAnswer: -413.897008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**2 + t + 60. Calculate q(7).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -0.1 (c) 1 (d) 7 (e) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/98871570 and 47\/627756.\nAnswer: 197743140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -131 divided by 635\nAnswer: -131\/635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/(-15))\/(-3 + (-376138)\/125380 + 6).\nAnswer: 2, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/22638 and 3\/39873064.\nAnswer: 119619192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 6:05 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - (-1*sqrt(170) + sqrt(170) + sqrt(170) + sqrt(170)))*2 + -1*(-1*sqrt(170) - sqrt(170)))\/((sqrt(1210) + sqrt(1210)*2)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 22. Let m(s) = 10*s**2 + 3*s. Let i(b) = 3*b**2 + 2*b + 3*b**2 + b**2. Calculate r*m(g) - 7*i(g).\nAnswer: g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60833.19ml in litres?\nAnswer: 60.83319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3 + 7946*v**2 + 407659*v + 1503436 = 0. Calculate v.\nAnswer: -47, -4, 7997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6 - 16*a**3 + 27*a**3 + 6*a**4 - 11*a**3 wrt a?\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5304 - -5304.2967. Let u = k - 0.0967. Let l = 0.2 - 0.3. Which is the nearest to 0? (a) l (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 193, 213, 233, 253?\n\"Answer: 20*t + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -122*y - 1226. Calculate z(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 335, 50, -2 in increasing order.\nAnswer: -2, 50, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18404 minus 31?\nAnswer: 18373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bur when three letters picked without replacement from {b: 2, u: 1, l: 6, r: 5, c: 2}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + 4 + 0.\nAnswer: 4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.4 times 5?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 13 = -7, -416*m + 414*m + 40*b = 68 - 294 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001023175 to six decimal places.\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, j: 5}. What is prob of sequence jzzj?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p**2 + 227*p + 1733*p**5 + 235447 - 3*p**4 - 235445 + 0*p**2 + 3*p**4 wrt p.\nAnswer: 103980*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 8 = -4*m, 0 = -2*m - 4*f - 1158 + 1134 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.0262, 23, -2\/13, 0 in ascending order.\nAnswer: -2\/13, 0, 0.0262, 0.1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11*(-20)\/275*10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 0 = -t. What is the highest common divisor of t and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27148 bigger than 27150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-3 - -13 - (0 - -3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 + -2) - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2 + 4*v - 48 = 0. What is v?\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*v - 26, 0 = v - 2*v - 3*z + 13. Suppose 356 = v*k - 4*i, 0*k - 362 = -4*k + i. What are the prime factors of 1 + -1 - (-8 - 0 - k)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4004 - -1309.1304. Let t = 1299 - u. Let z = t + 9.730653. Round z to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 95 = -20*d - 152 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdt when three letters picked without replacement from {d: 1, k: 2, t: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0.1 (b) 0 (c) 1364355\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 5. Let b(v) = v + 6. Let j be b(y). Let n be 2*(0 + 1\/(-1)). Is j greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*a + 711 = -79 - 927 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1119390882.\nAnswer: 2, 3, 113, 1651019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 357494 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/(-56))\/(18\/8).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 5. Let n(l) = l**2 - 3*l - 8. Let y(t) = -t**3 + 4*t**2 - 3. Let f be y(3). Let b be n(f). What is the greatest common factor of u and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + -1 - 2)*(-2)\/4. Let i be -3*((-5)\/c + -6). Solve -2*k + i + 5 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/8*2 + 3. Let s be 0\/((3\/(-15))\/(1\/(-5))). Solve -2*f + 0*f = -8, s = 2*k + f + x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1535701346*f + 1535701346*f + 1731*f**2.\nAnswer: 1731*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**3 - 19*z**2 - 46*z - 555. Let n be p(-10). Which is the fifth biggest value? (a) n (b) 0 (c) -1\/5 (d) 4 (e) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 + 0.02128.\nAnswer: 1.62128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 1:11 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 13*l**2 - 9857*l - 127. What is m(106)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553769 is divided by 39554?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 602929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325 and 1053?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -3. Suppose -3*x - 4*j + 18 = 0, 3*x - f = 2*j + 15. Suppose 3*y + 5*z = 7*y - 2, -z + 2 = 0. What is the greatest common factor of y and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 473 or 1236?\nAnswer: 473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61029.71ml to litres.\nAnswer: 61.02971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 7*u - 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/(-6))\/(-7)*(-12)\/63?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 49*p**3 + 3*p**2 - p - 4. What is the units digit of c(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 64\/80 + 13901\/5 + 0. Suppose 3*j = 8*a - 6*a + f, 3*j = a + 2784. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405 (base 6) to base 10.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3045399 to the power of 1\/2, to the nearest integer?\nAnswer: 1745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2419900, -4839816, -7259734, -9679654, -12099576, -14519500?\nAnswer: -16939426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1693292419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -8. Suppose -z + 42 = z. Suppose k*m - 3*m = -z. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 22*f = 0. Suppose f = -13*l + 12*l + 171. What are the prime factors of l?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7303 - 4579. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -299 at least as big as -58277\/195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -159*v + 81. Let o(n) = 2*n + 2. Let f(g) = -18*o(g) - w(g). Find the first derivative of f(h) wrt h.\nAnswer: 123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7936812 divided by -22612?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 19, -4, 78, -5, -2 in decreasing order.\nAnswer: 78, 19, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55588, -55565, -55542, -55519, -55496, -55473?\nAnswer: -55450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*h - 77*h - 5*h - 148 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*m = -6, 15 = -2*n + 7*n - 2*m. Let p be 2*-1 - (-3 + n). Is (-846)\/(-36)*(p - -2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 4*i**2 + 3*i + 2. Let p be d(-3). What is the remainder when (7 - (-4)\/p)*1 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 q when three letters picked without replacement from fqqqfqf.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*o**3 - 165 - 2*o**3 + 5*o**4 - 15*o**3 wrt o?\nAnswer: 20*o**3 - 27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grn when three letters picked without replacement from nnrnrg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - ((-1)\/1 - 1). Suppose -2*x + g + 14 = 0. Suppose -3*n + n = a - 30, 2*a - 58 = -3*n. What is the remainder when a is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2532 and 2362356.\nAnswer: 2362356","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -34. Let u = 0.1 - -0.1. Which is bigger: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t**4 - 338*t**3 - 9*t - 22 wrt t?\nAnswer: 36*t**2 - 2028*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1 - 2 - (10 + 5 + -6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1932442, 3864892, 5797342, 7729792?\nAnswer: 9662242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1337\/6 - 223. Let n be -4 - -1 - (2 - (-16)\/(-3)). What is the smallest value in n, u, 0.05?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4675*b + 9562*b + 868457 = 0 for b.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 23 - 3, -3*v + 3*r = -15324. Suppose 7*u = 2*p + 3*u - v, -p + 5*u = -2556. What are the prime factors of 175\/(-55) + 3 + p\/22?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 12*i - 66. Calculate p(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 112686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2. Let u(v) = v**2 + 12*v - 66. Let j be u(-13). Let m be (-13)\/2 + j\/106. Let r(w) = 10*w**2. Give m*a(t) + 2*r(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 376124 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.347 rounded to one decimal place?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*j - 22. Let z(y) = y**3 - 2*y**2 + 2*y. Let h be z(2). Solve 4 = 3*n - n - h*i, -j*i = 2*n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 11 = 5*a + 5*v, 5*v + 1 = 2*a. Let z = 109.51 + -109.31. What is the closest to a in z, 0.15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -12. Let n = -19 - l. Let w = 4 - n. Solve -2*f - w = -5*b, 0 = -f + 4*b - 7*b + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 87\/1044 - 14\/(-48). Let z(i) be the first derivative of m*i**2 + 1\/12*i**3 + 9 - i. Factor z(y).\nAnswer: (y - 1)*(y + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, k: 1, i: 1, n: 1, q: 1}. What is prob of sequence nkh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5\/7)\/f**(5\/7)*(f**(2\/7)*f*f)**(-6))**30 assuming f is positive.\nAnswer: f**(-3180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3574.282 litres to millilitres.\nAnswer: 3574282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*r**3 - 3*c*r**2 - 2451*c*r - 120*c + 643135*r**3 + 16*r**2 + 32*r wrt r.\nAnswer: 6*c*r - 6*c + 3858810*r + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18006.\nAnswer: 2, 3, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -260*i**2 - 7*i + 42*i + 370*i**2 + 15*i**3 = 0.\nAnswer: -7, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29848258.\nAnswer: 2, 11, 71, 97, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + sqrt(7) + -3 - -4*sqrt(847)).\nAnswer: 1 + 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 6:45 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*o - 3 + 3 + 8*o as b + n*o and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9304 = -9*z + 371. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/(1*30\/(-16)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-18)\/15)\/(14\/(-35)) and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9471 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 + 82. What is the highest common divisor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*a**2 - 37*a**2 + 104*a**2 - 21 + 26 + 64*a**2 as g + t*a + o*a**2 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1412 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (42 + -37)*2\/5. Let g(o) = -55*o**2 + 118*o**2 - 55*o**v. Let x(l) = 8*l**2. Calculate g(x(t)).\nAnswer: 512*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 670, -1, -43, 23, 2, -3, 0 in increasing order.\nAnswer: -43, -3, -1, 0, 2, 23, 670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*h + 5*n, 4*h - 2*n + 4 = 2*n. Let q = 835\/4 - 208. What is the closest to q in -1, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 14. Let l = w + -11. Suppose -b + l = -1. Solve -10 = b*c - 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (176\/(-352))\/(10\/8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r = -21*r + 12. Suppose r*j - 22 - 10 = 0. What is the second derivative of 2*c**2 - j*c - c + 25 - 25 wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 604*c**2 + 526*c.\nAnswer: 1208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 14*p - 642 = 0. What are the prime factors of p?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 o when four letters picked without replacement from oooooooooooooooooolo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 799*i**3 - 3*i**2 + 1058 wrt i.\nAnswer: 4794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (58 - -2) + (-8)\/2. Let g be y\/66 - 20\/30. Let v = 3.0729 + -0.0729. Which is the nearest to g? (a) 2 (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 17996, 2 in increasing order.\nAnswer: -9, 2, 17996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 times 93.372\nAnswer: 34.54764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1383039 by -47691.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 8 + g - 10 as t + h*g and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1704, -1265, -826, -387?\n\"Answer: 439*f - 2143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-6*15\/(-12) + -6). Suppose -4*v + y*c - 4*c = -8, -5*c + 20 = -5*v. Solve v = -p - p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -106 in 5, 0.1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -639.75 - 0.01262.\nAnswer: -639.76262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 - 173*p + 173*p.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, v: 9, y: 1, j: 3, x: 2, t: 1}. What is prob of picking 1 x, 1 t, and 1 y?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 47882a + 49?\nAnswer: 478874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*x - 64*x = 90*x - 17979 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6380, 12116, 17842, 23552, 29240, 34900, 40526, 46112?\nAnswer: 51652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -158*y + 153*y + 3*w, -2*w - 8 = 4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 160384*h*x + 346504*x wrt h.\nAnswer: 160384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 595 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 51*k**2 + 374*k + 153. Determine m(42).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56 - -345362?\nAnswer: 345451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + h + 46. Let b(s) = -2*s + 4. Let p be b(2). What are the prime factors of l(p)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/8))**(-19\/3)*l\/(l\/(l\/l**(2\/11)))*l**(2\/13)*l assuming l is positive.\nAnswer: l**(4973\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**2 + 0*m**2 - 3*m**2 + (1579 - 1579 - 17*m)*(0*m - 3*m + 0*m) in the form c*m**2 + b*m + i and give c.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m + 15. Let n(w) = -3*w + 5. Let h(g) = 4*g - 6. Let k(v) = 4*h(v) + 5*n(v). Let z be k(5). Let p(i) = 3*i - 8. Calculate z*f(o) + 11*p(o).\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 49*d - 752 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -328 divided by 164.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 140\/11? (a) -9 (b) -0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/50*5)\/((-4)\/(-8)). Let u(r) = -532 + 272 + 284 - 3*r. Let d(l) = 1. Give o*u(q) - 72*d(q).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 219.59 + -221. Let f = 81.41 + w. Let o = f + -81. Which is the closest to -0.1? (a) -3\/7 (b) 2\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 8*o + 112. Let k be o\/(1 - 3) - -1. Solve -k = 4*a + a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27281027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2592972 and 302.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -4*a + 8, 4*s + 3*a - 9 = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9*l**2 + 4*l - 11. Let y(u) = 18*u**2 - 7*u + 21. Let s(x) = 5*p(x) + 3*y(x). What is the second derivative of s(d) wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/4 and 6\/(-27) + 1034\/(-126)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13034\/162789 or 1?\nAnswer: -13034\/162789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 162*p**2*r**2*x + 2876*p**2*r**2 - 5*p**2*r*x - 2*p**2*r - 18*p**2 - 327*p*r*x wrt r.\nAnswer: 324*p**2*x + 5752*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 11*q**3 - 1. Calculate the lowest common multiple of z(1) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 55*q**4\/4 - 4*q**3\/3 + q**2 - 216*q. What is the second derivative of a(b) wrt b?\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/2 of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**4\/4 + 3*w**3 - 5*w**2\/2 - 13*w + 19. Let l be d(8). Solve -l - 1 = -4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -1.33.\nAnswer: -1.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 32*b**2. Let x(k) = -2*k**2 + 3*k + 3. Let o(q) = q**2 - 2*q - 2. Let t(h) = 3*o(h) + 2*x(h). Calculate t(f(p)).\nAnswer: -1024*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 929*q. Let z(i) = 155*i**2. Calculate z(o(h)).\nAnswer: 133771355*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**4 + 2*p**3 + p**2. Let t(w) = -6*w**4 - 3*w**3 - 2*w**2. Let g(q) = -3*s(q) - 2*t(q). What is the third derivative of g(c) wrt c?\nAnswer: -144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 987393016 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r + 1. What is the units digit of j(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -3. Let k(z) be the first derivative of z**2\/2 + 4*z - 99. Calculate k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5397 and 3054.\nAnswer: -16482438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2\/2 - 8885*c\/2 - 62293 = 0. What is c?\nAnswer: -14, 8899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*b + 233*b - 2405701*b**2 + 2405699*b**2 - 2*b**3.\nAnswer: -2*b**3 - 2*b**2 + 175*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 118, 123, 128?\n\"Answer: 5*p + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d - 3*d - 2*d**3 + (-2*d**2 + 3*d**2 + 4*d**2)*(-d - 3*d + d) - 2*d**3 - d**3 + d**3 - 2*d**3 + 5*d**2 - 5*d**2.\nAnswer: -21*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 94, 607, 1490, 2737, 4342, 6299, 8602, 11245?\n\"Answer: -g**3 + 191*g**2 - 53*g - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -501.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j + 25. Determine l(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1\/(-2)*-4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 3*q**2 - 2*q + 3. Let y be z(-4). Let i(h) = -4*h**2 + 6 + 71*h**3 - 37*h**3 - 35*h**3 + 7*h. Let v be i(y). Which is bigger: v or -17\/5?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0*t**3\/t*(t**(-1))**(2\/25) assuming t is positive.\nAnswer: t**(48\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -9471.2 < 880?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 55745*q + 613800.\nAnswer: -5*(q - 11)*(q + 11160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-8415)\/12)\/17*32\/(-12) is divided by 90?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*i**5 + 159*i**5 + 147*i**5 + (2*i**2 + 2*i**2 - 2*i**2)*(-i**3 - i**3 + 3*i**3) - i**5 + 2*i**3 - 2*i**3 + 6*i**5 - 5*i**5 - 5*i**5.\nAnswer: 267*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(143)\/(sqrt(44)\/sqrt(4)))**2 - ((sqrt(13) + (sqrt(65)\/sqrt(5) + 1 - sqrt(13)))**2 + sqrt(13)))*-4 + 1.\nAnswer: -151 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -304\/5 + 61. Let w(k) = k**3 + 3*k**2 + 2*k - 1. Let h be w(-2). Which is the closest to h? (a) v (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2001967, -2001971, -2001977, -2001985, -2001995?\nAnswer: -2002007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/17, -0.5, 0.4, -0.22, 2\/21?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 348449, 696818, 1045197, 1393586, 1741985, 2090394, 2438813?\n\"Answer: 5*c**2 + 348354*c + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**3 + 25*m**2 - 85*m + 61. Give r(3).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -465c (base 14) in base 5?\nAnswer: -342414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -733 - d7b2?\nAnswer: -dee5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.16 - 0.16. Let m = -61.9 + 62.2. What is the nearest to -2\/9 in h, -2, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 8. Let h = -1.4 - -1. Let j be (-30)\/525 + (-520)\/3150. Which is the third biggest value? (a) l (b) j (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900190 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.1, -8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4690 and 9.\nAnswer: 42210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 340770309135*l - 340770309135*l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 0*h**2 + 19 - 115*h**3 - 24 - 2*h**2 - 5*h. Let p = -30 + 28. Is m(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 + -42. Suppose 4*d = 1 + m. Suppose 5*l - d = 3. Solve -l = -2*x + 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1796, -3633, -5470?\n\"Answer: -1837*i + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.43 * 0.563.\nAnswer: -5.87209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -11*p - 67. Give o(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136244187*q**2 - q + 129809787*q**2 - 26226930*q**2.\nAnswer: 239827044*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-13 - (1 - 19))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + v**2 + (-4*v + v + 4*v)*(-3*v + 5*v + 0*v) - 923*v + 923*v + 225*v**2.\nAnswer: 228*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3720*x - 1435*x + 5522*x.\nAnswer: 7807*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 630 - -1.0862.\nAnswer: 631.0862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 2:37 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -320 - -328. Suppose -12*r = -16 - v. What is the highest common factor of 58 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 39?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -6*t**2 - 1\/120*t**6 + 0 + 0*t**5 + 0*t + 0*t**3 + 0*t**4. Factor b(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 33 = 2*i + k, 5*i + 5*k - 45 = 0. What is the common denominator of 7\/10 and 30*(i\/16 + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p*p**(-1))\/p)**44)**40\/((p*p**(1\/2))\/p**(-6\/11))**(-2\/9) assuming p is positive.\nAnswer: p**(19365\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {d: 3, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 15933*z**3 + 8*z**2 - 11*z - 5. Is g(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 4:34 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3247, 13081, 29479, 52447, 81991, 118117, 160831, 210139?\n\"Answer: f**3 + 3276*f**2 - f - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -0.2 (c) 2\/13 (d) 0.053\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y + 86 = 233. Put y, 3, -20 in ascending order.\nAnswer: -20, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -328\/15 in -6\/7, 0.17, -2\/125?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-30)\/8)*(-15)\/2. Let y(u) be the third derivative of -u**5\/60 + u**4\/4 - u**3 - u**2. Let m be y(j). Let a(g) = -2*g - 8. Give a(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-2 + (7 - -1)). Let o = v - -9. Suppose 0*j + 63 = o*j. Calculate the remainder when j is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35379*f**3 + 36613?\nAnswer: -106137*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**3 - 42*z**5 + 0*z**2 + 0*z**2 - 16*z**2 wrt z?\nAnswer: -2520*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3087 is divided by 282.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 245*x - 83*x - 37*x + x**2 + 1 to the form y + f*x**2 + t*x and give t.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 2650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (-1 + sqrt(192))) + sqrt(192))**2 + 0.\nAnswer: 16*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/1012 and 115\/78408?\nAnswer: 1803384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19) + 2*sqrt(1900) - sqrt(114)\/(4*sqrt(30)\/sqrt(5)))*-6.\nAnswer: -249*sqrt(19)\/2 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125\/((-39375)\/(-504))*-15.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 12*b**4 + b**3 - 13*b + 1. Let n(v) = -v**3 - v - 1. Let t(k) = n(k) + y(k). What is the second derivative of t(w) wrt w?\nAnswer: 144*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428404.1 nanograms in tonnes?\nAnswer: 0.0000000004284041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z + 44. Let t be f(-7). Solve -110*a + 111*a = t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26386214 to the power of 1\/2, to the nearest integer?\nAnswer: 5137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/23)*a*a\/a**(-30)*a*(a*a*a*(a**(-9)\/a)\/a*a*a*a)\/a**(-9))**(-2\/47) assuming a is positive.\nAnswer: a**(-1698\/1081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5460101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -420268, 1 in ascending order.\nAnswer: -420268, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 12 - 30. Let i(d) = -1. Let j(n) = -5*n + 3. Let t(s) = -4*i(s) - j(s). Is t(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 5*l**3\/6 - 141*l**2\/2 - 48*l. Let t be q(28). Put 2, -16, t in decreasing order.\nAnswer: 2, t, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 306039\/455 - 8728\/13. Let f = 755\/106 + 34\/371. What is the common denominator of f and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 3*k + 5. Let t(r) = r**2 - 5*r - 1. Let d be t(6). Let u be i(d). Let a = -17 - u. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/181187730 and -133\/360.\nAnswer: 724750920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -1. Suppose l*p + o = 2*o + 31, p = o + 10. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -13*g + 6. Suppose g*d - 57 = 93. What is the remainder when d is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2531 is divided by 105?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71*o**2 + 3*o - 2*o**3 + 22 + 9 - 4*o - 52*o**2 + 33 wrt o?\nAnswer: -12*o - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (108 - 109)*331*-23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -945 by -5812.\nAnswer: 945\/5812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1096*j**2 - j + 3*j + 1170*j**2.\nAnswer: 74*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - v - 1. Let x(y) = -7*y**3 - 7*y**2 + 7*y + 7. Let i = -6701 + 6694. Suppose -2*p = -0*p + 2. Determine i*t(g) + p*x(g).\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aazzazaaaaa. Give prob of sequence zzza.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzff when four letters picked without replacement from {z: 6, s: 2, f: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 13 + 10*u - 7*u. Let y be q(-10). Solve -y*l + 5*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 3*m + m + (4878 + 6750 - 14868)*(-4 + 2*m + 4).\nAnswer: -6478*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a4 - 4?\nAnswer: -1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707410271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 144060016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1695700 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 154856390 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.97 - 0.03. Suppose b + 12 = -5*s, -4 = 4*b - 0*b - 2*s. Let f be 19\/(-30) + (-1)\/b. Sort u, 0.3, f in ascending order.\nAnswer: u, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103.76904 rounded to one decimal place?\nAnswer: 1103.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*((-6498)\/190 + 34)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 20 = 5*g - g, -25 = -5*g - 5*h. Suppose 4*l = -p + 5*p - 4, -g*p = -3*l - 5. Let j(f) = -f**3 + f + 12. What are the prime factors of j(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0.3, 2, 11, 0.07, -78, -22?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3827*g - 7 - 1891*g + 14 - 5 - 1935*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 6*t**2 + 4*t - 4. What is v(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.76 + 1.26. Let h be ((-36)\/40)\/(-2*9\/30). Sort -2\/17, -2\/5, r, h in decreasing order.\nAnswer: h, r, -2\/17, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.5. Let s = -0.856 - -1.156. What is the nearest to s in -3, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 664, 662, 658, 652, 644?\n\"Answer: -c**2 + c + 664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -18663483?\nAnswer: -18663488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -41134 (base 11) to base 8\nAnswer: -165225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 31 + -53 + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/((-11)\/(-110)))\/2. Let h(u) = u**2 + 9*u - 57. Let z be h(-15). Solve 28*o = z*o - m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/11)*r*r**7*(r\/(r*r**(-1\/2))*r)**(-2\/31) assuming r is positive.\nAnswer: r**(2757\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -0.4. Which is the nearest to 0? (a) 2\/11 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*y**2 - 4*y**2 + 24*y**2 - 2*y**2 + 2*y**2.\nAnswer: -61*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 29222 = -4*q, 0 = -o - 12*q + 16*q + 14641. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*q + 1192 - 1159, -17 = -4*j + 3*q. Let n(h) = 1. Let m(f) = 55*f - 25. Give j*m(d) - 25*n(d).\nAnswer: -55*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 1. Let b(y) = -4*y - 12. What is -b(p) + 2*s(p)?\nAnswer: 2*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 13*y**2 + 3*y + 5. Is 17 a factor of o(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4*v = -33, -4*p - 21 = -7*p + 3*v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*t + 8*t + 10*t + 8*t to the form n + b*t and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3215359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/(54\/252). Let s(p) = p**2 + 8*p - 7. Calculate s(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvppvvpppvpppvpppvp. Give prob of sequence vpv.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**4\/6 + k**3\/2 + 26*k**2\/3 + 10*k + 8\/3 = 0.\nAnswer: -2, -1, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6384c (base 15) in base 11?\nAnswer: -1a6253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 357731 and 561.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -15*r**2. Let y(k) be the third derivative of k**6\/180 + 17*k**3\/6 - 14*k**2. Let z(d) be the first derivative of y(d). Determine g(z(c)).\nAnswer: -60*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(3*r**2 - 3*r**2 + r**2) + 19*r**2 - 3594*r + 3594*r + 2*r - r**2 + r**2 + r**2.\nAnswer: 19*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -15 + 1 - (161 + 23 + -168)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2298 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 139303 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25040 and 1880?\nAnswer: 1176880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 536954.6 * 12\nAnswer: 6443455.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -10*r + 8*r + 4, 4*r - 12 = -4*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12144 - -1440?\nAnswer: 14134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**6*m**3 + 254*c**6 - 39*c**2 - 9*c + 13*m**3 wrt c?\nAnswer: -360*c**3*m**3 + 30480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 4*y + 32. Suppose -y*m - 56 = -9*m. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 2*a - 35, 28552 = 2*a - 2*p + 28572 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 3798*h + 3800*h + 16 = 0, -2*h - 1 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3747061 or 3747049?\nAnswer: 3747061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 78322746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3919 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyoonojjylyoynjn. What is prob of picking 1 y and 1 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5 = 2. Let c(q) = -9*q + 2. What are the prime factors of c(o)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3705 is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/6)\/((-12)\/54). Let f(k) = k**2 + 7*k + 9. Let b be f(x). Suppose 0 = 8*z - 7*z - 2*d - 15, 2*d = -2*z. Solve o + z = 3*a, b*o + a + 3*a = -15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -91, -229, -433, -709?\nAnswer: -1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 781*u - 266910. What is o(342)?\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -12. What are the prime factors of (-660)\/(-45)*6\/k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/18 and 23\/68.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + n + 1. Let t(u) = 5*u + 9*u + 3*u**3 - 3*u**2 + 11 + 2*u**2. Let w(l) = 4*t(l) - 44*z(l). Factor w(c).\nAnswer: 4*c*(c + 3)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -18. Solve 4*p + d = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*f + 9493103 - 4746548 - 4746555.\nAnswer: -124*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 266*m - 8192. Determine i(-39).\nAnswer: 661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -15*v**5\/4 - 5*v**3\/3 + 119*v. Find the second derivative of r(x) wrt x.\nAnswer: -450*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1920 by -2.\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.068536 and 0.7.\nAnswer: 0.631464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 1)*(-2)\/(-26). Let z be 15\/12 - 2\/8. Suppose -w - z - 1 = 0. Which is the third smallest value? (a) w (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5320187 (base 9) to base 4.\nAnswer: -22313032102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-142)\/(-6))\/((-12)\/(-504)). Suppose 4*w + 1482 = -x. Let j = -240 - w. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1047 + 1057. Let v be (-160)\/(-64)*12\/x. Solve 3*s + 5*d - 1 = 0, v*s + d - 5 = -0*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121001 (base 3) in base 6?\nAnswer: -5214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/487206 and 53\/54?\nAnswer: 1461618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/68 and -42\/634253.\nAnswer: 2537012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1188ab (base 15) to base 16\nAnswer: -ccd31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32694871 divided by 11.\nAnswer: 2972261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s - 17. Let t be g(7). Let v = -14 + t. Which is the second biggest value? (a) 20 (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**2\/2 + 12*i - 2. Let b = -704 - -707. Suppose -b*q = q - 2*q. Calculate m(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -339*v**3 - 815*v**2 - 5*v - 35. Let m(q) = 170*q**3 + 408*q**2 + 3*q + 21. Let h(y) = 3*b(y) + 5*m(y). What is the third derivative of h(p) wrt p?\nAnswer: -1002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 726?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 12)\/(2\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 6, w: 2, b: 2, e: 4}. What is prob of sequence wz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158 - 157.999999933. What is z rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p + 7. Calculate j(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/5)\/n)\/n)**31 assuming n is positive.\nAnswer: n**(-186\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - -58. Let g(i) be the first derivative of i**2 + 4*i - 1. Let s be g(-2). Solve s = -h*r + 1 + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34800247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 16 = -29 + 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 136\/(-6)*21\/14. Let v = 22 - a. What is the highest common divisor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*x + 148, 2*q + 3*x = q + 77. Suppose 86 - q = 6*o. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.012 - -0.312. Let y be -2*(-1)\/(-7)*-2. What is the third biggest value in w, 3, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**5 + 4*w**4 - 8*w**3 - 4*w**2 + 10*w - 4. Let k(b) = 2*b**5 + 4*b**4 - 9*b**3 - 2*b**2 + 11*b - 6. Let j(h) = -2*k(h) + 3*l(h). Factor j(u).\nAnswer: 2*u*(u - 1)**2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4743 by 51.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z - 215 = 0. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 759 and 66531?\nAnswer: 16832343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 51\/8 (c) -32.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 5*b**2 + 2*b + 6. Suppose -27 = 5*j - 2. Let i be r(j). Put 2, -6, i in ascending order.\nAnswer: -6, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5936 in -2, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 19*c**2 - 8*c - 156. Give y(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 585862 by -5527.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**2 - 2 - 2*o**2 - 5*o**2 - o - o**2 - o**3. What is g(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*w - 31 = 0, -t + w - 3*w - 11 = 0. Let f = t - -8. Put 3, f, -4 in increasing order.\nAnswer: -4, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 8. Let l be a(6). What is the second derivative of 2 + l*c**3 - 1 - 1 + 4*c wrt c?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -1. Let q = 0.97 + -0.6. Let m = q + -0.07. What is the closest to f in 0, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.216 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3503765 and 130315.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-9*(-2)\/(-8))\/(421\/(545616\/243))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 8*q + 22 = -3*q, -q + 7 = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -11\/3. Let x be ((-3)\/(-12)*-1)\/((-6)\/8). Suppose 0 + g*w + x*w**5 - 2\/3*w**3 + 0*w**4 + 0*w**2 = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, y: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15451 (base 6) to base 16.\nAnswer: 9f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3056 divided by -8\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 14, -3, 0 in ascending order.\nAnswer: -3, -1, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -251 + 252. Solve -4*w = -5*g + 5, -g + n = -w - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 5, l: 9, r: 1}. Give prob of picking 2 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/5)\/x)\/x)**(1\/82))**(1\/21)\/(x**(2\/27)*(x**(-2\/5)*x)\/x*x*x**(-2\/17)*x**(-4)) assuming x is positive.\nAnswer: x**(906989\/263466)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**3 + 12*n**3 - 2*n + 5*n - n.\nAnswer: 19*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(25\/250)\/((-27)\/6)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -bb1 + 1a41?\nAnswer: a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 5*p + 0*p)*(6 + 0 - 2) - 4*p + 4*p - 2*p - 2 + p + 2 + (2 - 1 - 6)*(-2*p - 2 + 2) + 7*p + p + 3*p as o*p + z and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + 0. Let q = v + -44.79. Let o = -219.8 - -220. Which is the nearest to o? (a) 1\/2 (b) -1\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66157*l + 66146*l - 121 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 14*s**3\/3 + 50*s. Let g(w) = -23 + 11 + w**2 + 12. What is m(g(c))?\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j = 57823*u - 57827*u + 24, -4*j + 1 = 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5))**(-42)\/((q\/q**(-17))\/q*q**(2\/35)) assuming q is positive.\nAnswer: q**(-9\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155 + -238. What is the common denominator of (-3)\/(-10)*(56\/(-3) + 1) and ((-6)\/(-4))\/((-9)\/k)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -383*n**2 - 451.\nAnswer: -766*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrnq when four letters picked without replacement from qrqoqnoqrqoqqnqqnn?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 divided by -46?\nAnswer: -150\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 3*l + 3*l - 97*l**2.\nAnswer: -97*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54626.\nAnswer: 2, 11, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 19 * 3038667\nAnswer: 57734673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (5 + -5)) + -7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10089, -10092, -10095, -10098?\nAnswer: -10101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-10)\/125*-5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**2\/5 - 985348*l\/5 + 788272 = 0.\nAnswer: 4, 492670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/22305 >= 516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -0.0110244999359.\nAnswer: 4.0110244999359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 - 83*s**3 - 261 + 123.\nAnswer: -83*s**3 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -17857806 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 0*a + a + 2*a. Let o = -8 + 11. Let g(d) = 3*d - 2 + 5 - o. Calculate i(g(w)).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2603 + -2601. Let h(a) be the first derivative of -48\/5*a - 48\/5*a**w - 24\/5*a**3 - 3\/25*a**5 - 6\/5*a**4 - 14. Find y, given that h(y) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 11:34 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18562468 + 7357512 = 2*q. Suppose 4*s + q = -5*u, 2*s - 2*u + 6480002 = -u. What is s rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h - 7*h = 23. Is h less than -7\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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 -11021, -43948, -98583, -174728, -272185?\nAnswer: -390756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231094, 231121, 231166, 231229?\nAnswer: 231310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000342275 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 68*k**3 - k**2 + 9*k - 10. Let q be p(2). Let a = q + -40. Let v = a + -269. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/55 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1303? (a) -5 (b) -44 (c) -1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -512 (base 7) in base 2?\nAnswer: -11111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35631.82 milligrams to grams.\nAnswer: 35.63182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 15) to base 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82304347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 1 + 73 + 187 + -283.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/9, -246, 0.2 in descending order.\nAnswer: 0.2, -23\/9, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1407 + 2361 = -3*t. Let j be t\/(-7) + (-3)\/(-3). Let d = j - 181. What is the second smallest value in d, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341 (base 5) to base 14.\nAnswer: 6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-18)\/405*(-474 + 534).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 2*u + 30*u + 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1394\/55 + 40067\/715. Which is smaller: p or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**3\/6 + 9*c**2\/2 - 2*c - 2. Let n(d) be the first derivative of i(d). List the prime factors of n(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -313\/5520 - 2\/345. Suppose 26*x - 19*x = 35. Suppose 0 = -4*a + 3*t, x*a + 2*t = 7*t. Is h >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -22 + 25 + 1 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(18*t**5 + 6*t**2 - 30*t**5 + 9*t**5 + 6).\nAnswer: 6*t**5 - 12*t**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4767 + 4767. Solve d = 2*m - 3*p + 4, 0 = 2*p - 5 + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 17) + 6\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5633 - 5633.2. Suppose 0 = y - 0 - 2. Put 0.06, m, y, 5 in descending order.\nAnswer: 5, y, 0.06, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.646 - 1.4865. Round w to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 + 1) - 5 - -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 9:19 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7 + 5*y + 6 - 6*y. Let j be ((-76)\/16)\/(3\/(-12)). Let q(x) = 20*x - j*x - 3 + 3. Calculate -4*q(h) - 2*u(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1106 + -1107. Sort 0.5, 1\/5, d in descending order.\nAnswer: 0.5, 1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a = 25*a + 40. Solve -15 = a*l - 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/5 and (-1)\/(2\/(208\/20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2354703*h**3 - 2127151*h.\nAnswer: -14128218*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 258.4156 times -4?\nAnswer: -1033.6624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**3\/3 + o**2 + 3. Let t be d(-4). Let a = t + 31. What is the remainder when a is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15706*k - 14404*k + 30110*k - 12*k**3.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266562000 = -8*w + 145*w - 19*w. What is w rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3012 (base 9) in base 8?\nAnswer: -4226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 639331?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z - 3 + 2*z - 5*z - 4*z. Let r(q) = -q**2 + 2*q + 2. Let f(l) = 2*i(l) + 3*r(l). Let x(a) = 12 - 8 + 2*a**2 - 4. Determine f(x(y)).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*h + 288 = 137*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 734477.3 centuries to millennia.\nAnswer: 73447.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2592))\/((sqrt(96) - (sqrt(96) + -1*sqrt(96) + sqrt(96) - sqrt(96))) + sqrt(96)))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 26356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4440 - 4440.0005869. Round g to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 502*o**5 + 2*o**4 + o**3 + 166*o + 219 wrt o.\nAnswer: 10040*o**3 + 24*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)\/h*h*h**(-2))\/(h**2*h**(-3)))**(-1\/3) assuming h is positive.\nAnswer: h**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 0*k + 44 = -5*k + 59 - 79, -4*o + 3*k - 66 = 0 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 + 0.02. Let n be ((-38)\/10 - -3)\/(1 - 76\/20). Which is the second smallest value? (a) -2\/3 (b) o (c) n (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m - 5*m = 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2729, 2730, 2731, 2732?\n\"Answer: a + 2728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 5*m - 1. Let r be y(-6). What is the tens digit of (2 - r)\/(2\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.16582 + -0.86582. Let d = 3.03 - 0.03. What is the nearest to i in -1\/2, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 4 = -a - 3*m, 5*a + 2*m = 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 59398000 divided by 16\nAnswer: 3712375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 22. Let l = -119 + w. Let j = l + 105. Calculate the smallest common multiple of j and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6423 divided by 25973.\nAnswer: -6423\/25973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 26*z**2 - 14. Let m(w) = -1. Suppose -18622 + 18118 = -42*d. What is d*m(v) - s(v)?\nAnswer: -26*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(1131\/5))\/((-3)\/9).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**3 - 2*j - 1. Let q be p(-1). Suppose 0 = -0*f + 2*f - q*s - 19, -2*f - 5*s + 49 = 0. Calculate the remainder when f is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (23\/440)\/(15\/(-1270)). Let m = u + 31\/60. Let s = 700\/323 - 11\/19. What is the common denominator of s and m?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6506 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 1.17.\nAnswer: -3.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 2. Let y = -1 - q. Which is smaller: y or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 208, 216, 238, 280, 348, 448, 586, 768?\n\"Answer: x**3 + x**2 - 2*x + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*w + 150*w - 5155 = -1155 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 52 = -2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.09 - -21. Let v = -0.59 - h. Which is the nearest to 0? (a) 1 (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1626.0003573 + 1626. What is u rounded to five dps?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2143 or 0.411?\nAnswer: 2143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 11, o: 2, h: 5, z: 1}. Give prob of sequence so.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-14)\/g**(-8))\/(g**3)**(-2\/81) assuming g is positive.\nAnswer: g**(-160\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 6*w - 2. Let t(l) = -l**3 - l**2 - 7*l + 2. Let c(g) = -4*r(g) - 3*t(g). Let o be c(2). Suppose o = -4*s + 44. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 - 513*u**3 + 102.\nAnswer: -513*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 159 - 161. Let a(g) = -g**2 - g. Let i(w) = -2*w - 3. Suppose -130 = -7*l + 2*l. Let k = l + -25. Give k*i(u) + q*a(u).\nAnswer: 2*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (363*b + 342*b + 1169*b)*(b + 3 - 3) to i*b + m*b**2 + a and give m.\nAnswer: 1874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36323 + 36553. Calculate the highest common factor of o and 6394.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792 = -39*r + 72*r. Solve -26*f + 22*f = -r for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 271.\nAnswer: -4\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2. Let g(p) = -157*p + 5. Let u(z) = -34540*z + 1099. Let c(b) = 1099*g(b) - 5*u(b). Determine c(x(y)).\nAnswer: -314*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96566956?\nAnswer: 2, 701, 34439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 + 65. Suppose 0 = -2*p + 5 - q. What is the smallest value in -5, -15, p?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 420 = 15*d, -26*u + 56 = -24*u + 2*d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*a + 1466 = 0, -2*s = -6*s + 4*a + 1948. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 9:37 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdwd when four letters picked without replacement from wdwwwdwwwd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 9:13 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*r + 5432 = 143. What is the remainder when r is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -0.1 (c) 2 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*1\/7*1\/7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*m + 81*m + 978 = 0. What are the prime factors of m?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -43.87. Let d = l + 0.27. Which is the closest to 2\/3? (a) d (b) 0.01 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 35854.\nAnswer: -430248","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r*(r*r**(-4)*r)\/r*r*r**(-1\/2)*(r**(1\/4))**(25\/3)*(r\/r**(-7)*r\/((r\/r**(-2\/9)*r)\/r*r))**(-16\/7) assuming r is positive.\nAnswer: r**(-3253\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003 - 63.767456?\nAnswer: -63.770456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhhnnnhhnnrhn. What is prob of picking 1 r, 1 n, and 1 h?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 23. Let t be (-2 - r - -2)*109. Let o = -64 + t. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 16104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -59506396, -59506398, -59506400?\n\"Answer: -2*u - 59506394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 3*h + 4. Suppose 0 = -2*i - 4*s + 16, 3*i - 20 = -3*s + s. Let y = i - -1. Is 11 a factor of q(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 15. Let q be i(0). Suppose 5*z = 7*z + 6*m, -2*z + 4*m = -50. What is the greatest common divisor of z and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (5 + 0)) + -12 + 1 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 36 = 3*a + 4*i, -3*a - 23 = -5*i. What is the fourth biggest value in 1, -3\/8, a, -1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*y = 0, -4*y + 5 = -3. Let q be (-4)\/(-2) + -3 - (8 - -17). What are the prime factors of (-1 + k)*0 - q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272506 and 171041.\nAnswer: 2899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1116 + -1171 - (-3 - 8)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49*(-262)\/(-15589))\/(1\/(-17)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5. Let i(y) = 13*y - 235. Let a(m) = -5*c(m) + i(m). Calculate the least common multiple of 49 and a(21).\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -174862886 divided by 2395382\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 305 - 214. Suppose -2*m - y = -m. What is m rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -538.74 - 23.\nAnswer: -561.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7158 divided by 2.\nAnswer: -3579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = u - 59, -3*u + 24*h = 21*h - 153. What is the greatest common factor of u and 9295?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(50\/20 - 3\/2). Let j = -3 - -1. Let t = 8\/35 - 3\/7. Which is the biggest value? (a) 2\/9 (b) u (c) t (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2597 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 6. What is the third derivative of w**2 - h*w**4 + 2*w - w - w wrt w?\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**4\/2 - 489*m**3\/2 + 31011*m**2\/2 - 60551*m\/2 + 15015 = 0.\nAnswer: -546, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -664, -644, -618, -586, -548?\n\"Answer: 3*n**2 + 11*n - 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 583550557*f**3 + 353883825*f**2 wrt f?\nAnswer: 3501303342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 15ba?\nAnswer: -15b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**2 + 2*z**4 - 90*z**3 - 2*z - 6*z**2 + 53*z**3 + 42*z**3 in the form x + y*z + o*z**2 + a*z**3 + f*z**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -15*f**2 + 7*f. Let u(s) = -4*s**2 - 3*s - 3. Let h(i) = 7*i**2 + 8*i + 7. Let x(n) = 3*h(n) + 7*u(n). Determine 3*j(o) - 7*x(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.16 * -435.\nAnswer: 504.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19a6 + -14?\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**5\/90 - c**4\/9 + 32*c**2\/9 + 299*c - 1. Solve d(g) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334635997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208, 412, 630, 874, 1156, 1488?\nAnswer: 1882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyypysp. What is prob of sequence psyp?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 - x**5 + 3*x**5 + (3*x + 8*x - 3*x)*(4*x**4 + 4*x**4 - 6*x**4).\nAnswer: 17*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -606.946 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 18*s**2 + 11*s + 5. Let d be o(-4). What is the remainder when (4\/4)\/(1\/d) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 4:15 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22239 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 33*r + 93. Let f(y) = -98*y - 280. Let g(t) = -2*f(t) - 7*w(t). Find the first derivative of g(o) wrt o.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 a, and 1 s when four letters picked without replacement from {a: 6, i: 10, s: 2}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 35\/2. Let d(a) = a + 9. Let c be d(-13). Sort r, 1\/4, c in decreasing order.\nAnswer: r, 1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18408665 is divided by 189780.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138537.\nAnswer: 3, 7, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 20. Let x be (-10 + -2)\/(-3) + t. Let l be (x - 2) + 72\/4. Solve l = 4*s - 0*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -28*u. Let z(f) be the first derivative of 2*f**3\/3 + 85*f**2\/2 + 3192. Determine z(i(v)).\nAnswer: 1568*v**2 - 2380*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -10679 + 10679 - 2*g**2. Let k(b) = 2278*b**2. Calculate o(k(w)).\nAnswer: -10378568*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -43. Let y = a - 7. Solve y*q - 5*x = 40, q - 4*x + 2*x = 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65013417.5592398 - 0.3?\nAnswer: 65013417.2592398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**6\/120 - 11*f**5\/60 - f**4\/24 - 2*f**3\/3 + 3*f**2. Let h be b(-11). Let d = h + 6. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57.75 - 0.75. Let g = 47 - u. Let f = -10.5 - g. Which is the second smallest value? (a) -1 (b) f (c) 0.5 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 93077\/23828?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5)*(-4 - 78\/(-18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p + 1 - 1 + 3*p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 6. Let p = -0.9 - 4.1. Let h = v + p. What is the second biggest value in 3, h, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 177884 = -30*l - 177326 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d + 5*d + 28. Suppose 15 = -0*q + 3*q. Which is the second biggest value? (a) -2\/5 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) 0.2 (b) -9 (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 39 = m. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -35, -1\/8, 670?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33639161 by 8.\nAnswer: 33639161\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**43\/(h\/(h\/((h**(-28)*h*h*h)\/h))) assuming h is positive.\nAnswer: h**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 532123260?\nAnswer: -532123261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*c - 81*c + 40 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20389*g**5 - 62*g**2 - 708269*g wrt g.\nAnswer: -407780*g**3 - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 36. Let t be (-2712)\/108 + 20 - 1\/(-9). Sort -1, t, g.\nAnswer: g, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007615 rounded to seven dps?\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28033425889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n + 6. Let s be z(1). Which is the third smallest value? (a) s (b) -2\/5 (c) 4 (d) 7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 + (-50)\/30. Let p = 49 - 7. Let h be p\/21 - (0 + (-4)\/d). Which is the closest to -4? (a) 4\/9 (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/4031?\nAnswer: 2\/4031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-168)\/(-70))\/(3 + (-32)\/60*6). Let o(t) = -2*t**3 - 23*t**2 + 11*t - 10. Determine o(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*o - 13 = 79*o - 244*o + 97*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 times -2849585?\nAnswer: -196621365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -45. What is the smallest common multiple of k and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102001011 (base 3) in base 5?\nAnswer: -224200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -2, -11 in descending order.\nAnswer: 43, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/5 - 356*y**3\/5 + 12867*y**2\/5 + 15372*y\/5 - 15876 = 0.\nAnswer: -3, 2, 42, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 3278?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 566388 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w + 5. Let v(n) = 20*n - 14. Let f(a) = 6*v(a) + 17*x(a). What is the remainder when f(8) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -2\/7, 4, -0.74, 94001, 0, -3?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5, 10, 43, 100, 187, 310, 475?\n\"Answer: b**3 + 3*b**2 - b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -4*r + 16 - 22, 0 = r + 5*o - 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.75449507 to three decimal places.\nAnswer: 3.754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -40. Suppose -2*t + 24 = -2*s, 0 = 5*s - a - 11. Suppose w - 58 = 2. Calculate the greatest common divisor of t and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 - 7*f + 7. Let x(i) = 5*i**2 + 3. Let u(t) = -14*t**2 + t - 9. Let c(m) = 3*u(m) + 8*x(m). Calculate 7*c(k) + 3*l(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 12. Let z = u - -8.2. Let q = 0 + 0. Which is the closest to 1\/4? (a) -1\/2 (b) q (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -974 times 0.879\nAnswer: -856.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeheeeheeeeeeh. Give prob of sequence hheh.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 12:51 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -30*h + 1. Let q(w) = -w + 19. What is z(q(x))?\nAnswer: 30*x - 569","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(112) + sqrt(112))\/sqrt(4))**2 + (sqrt(112) + -2*sqrt(112) + -5)**2.\nAnswer: 40*sqrt(7) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z. Let y(s) = -19*s - 16. Let k(p) = 2*p + 1. Let x(h) = -3*k(h) - y(h). Let g(m) = 7*m + 6. Let j(d) = -13*g(d) + 6*x(d). Calculate j(b(t)).\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 0)\/((-2)\/(-2)). Suppose -34*y + 30*y = -16. Solve -5*b = -5*s - 10, -s + b = -y*s + u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125929 is divided by 5037?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 4. Let t be d(-2). Suppose 0 = -0*u + t*u - 3*l - 14, -4*l = 3*u + 13. Let b be u*(2 - 5) + 9. Solve -5*v - 2*k - 3 = -b*v, -6 = 2*v + 2*k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -56*t**3\/3 + 44*t - 24. What is the derivative of x(s) wrt s?\nAnswer: -112*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4\/9 - 1844*v**3 + 34395194*v**2\/9 + 15308888*v + 137846408\/9 = 0. Calculate v.\nAnswer: -2, 4151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**3 - 5*t**3 + 0*t + 17*t**2 + 4*t + 1656 + 0*t**2 - 1680. Give b(17).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**3 - 50 + 76 - 56 - 59 + 89.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38*p + 295*p + 179*p - 360 + 230*p - 178 wrt p.\nAnswer: 742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(85)*-2 + sqrt(85) + sqrt(85))*2*-4)\/(-4*(sqrt(720) + -1*sqrt(720) - sqrt(720))).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*b + 4*z, 0 = -b + 4*z - 0*z. Let o = 110\/9 - b. Factor -o*y - 2\/9*y**5 + 0*y**2 + 4\/9*y**3 + 0*y**4 + 0.\nAnswer: -2*y*(y - 1)**2*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 58*n**3 - 2*n**2 + 3*n + 2. Let d be (-2)\/2*((5 - -3) + -5). Let f be i(d). Let b = 510 - f. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/37647 and -82\/1141959.\nAnswer: 3425877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from colosbo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 0, 0.19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 12:26 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 55*c - 492 = 59*c, c = -2*o + 189. Let f = -118 - -158. What is the lowest common multiple of f and o?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(700) + -2 + sqrt(700))*6 + (-1*sqrt(700) + 1 - sqrt(700) - sqrt(700))**2 + 4.\nAnswer: 60*sqrt(7) + 6287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(5\/(-15)*1). Suppose -g = -9*d + 297. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136*o**2 + 4*o**6 - 17*o**3 + 379*o**2 - 16*o**3 wrt o?\nAnswer: 480*o**3 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.22 (b) 0.003 (c) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -86, -120, -158, -200?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 19*k. Let g = -233 + 232. Give b(g).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 4180852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 16 = -7*o. Suppose o*x + r - 4*r = -54, -x - 4 = -4*r. Calculate the remainder when 18 is divided by (-2*(-12)\/16)\/(x\/(-40)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165 + -299 + 134 + -1 + -1 + (1 - -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -943114.\nAnswer: 2\/471557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l + 1. Suppose 5 = -2*f + 9. Let k = -1 - f. Let z(y) = -6*y - 2. Let c(d) = k*z(d) - 5*p(d). Find the first derivative of c(n) wrt n.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/6 - -2)\/((-100)\/(-6300)). What is the greatest common factor of c and 1750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -27437.\nAnswer: 27431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 - ((2 - 1) + -1). Suppose 4 = n - z. Calculate the remainder when 20 - (-1 - -1) - 1 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -9. Find the second derivative of -3*g - i*g + 4*g**2 + 5*g - 16*g**2 wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 + 173. Let t = s - 51. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 326 - 328 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, 587, 3, -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398178663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113417*w**3 - 6*w**2 + 12290*w?\nAnswer: 680502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c. Let l be n(2). Let h = l - 9. Let q be 6\/1*h\/20. What is the second biggest value in q, -4, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -72. Let p = 112 + k. Is (2 - 1) + p + -2 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-532 + 1176 + 753)*(2*j**4 + 2 - 2) + 2*j**4 - 4*j**4 + 3*j**4.\nAnswer: 2795*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = 4*v + 3. Let c(i) = -i**2 - i + 1. Let w(d) = -d**3 + 7*d**2 + 7*d - 7. What is v*c(h) - 5*w(h)?\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**2\/b)*b)\/(b\/(b\/(b*b**6))) assuming b is positive.\nAnswer: b**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, z: 1, k: 1, c: 1, n: 1}. Give prob of sequence wnk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 5*c - 2*c**2 - 2 + 12*c**2.\nAnswer: 10*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*y - 1 = 0, 4*r - r + 15 = 3*y. Let z = r + 11. Suppose 18 = 2*c + z. Calculate the greatest common divisor of 49 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22700 and 17314652?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1459.999994695 - 1460. What is m rounded to 7 decimal places?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 184, 5333, -2 in decreasing order.\nAnswer: 5333, 184, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48402 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -15*k. Let s(r) = 5*r - 4. Let o(g) = 6*g - 5. Let w(q) = -4*o(q) + 5*s(q). Let y(a) = 2*f(a) + 33*w(a). Let u be y(1). Solve -2 = -h + u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23058 + -10015. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -18. Let l(m) = 3*m - 17. Let o be l(q). Suppose -o*x + 66 = -18. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/7879 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4560 = -106186631*x + 106186679*x for x.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-171)\/819 + 2\/7. Put -0.2, o, -0.4 in decreasing order.\nAnswer: o, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/((-195)\/10))\/((-4)\/(-30))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4646 + 0.86415. What is d rounded to 3 decimal places?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/4)\/p*p*p*(p**(2\/19)\/p*p)\/p)\/((((p\/(p\/(p**(-5)*p)))\/p)\/p*p)\/p*(p\/p**(-4))\/p*p) assuming p is positive.\nAnswer: p**(179\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1088 and 34905488.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9 - -15) + -11)\/(-1). Solve 0*m = -m + d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2088*u**2 - 10 - 14 - 18 + 2084*u**2 + 42.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 120\/14 - 51\/(-119) - 5. Solve -2*t - p = -6, -v - 4*t = 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + p + 24, -w = 4*w + 4*p - 75. Solve -4 = -y - 2*m - w, 2*m + 5 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22169043?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 14*x - 36 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t + 3. Let c(l) = -l. Let b be (0 + -3 + 2)*1. What is b*u(m) + 5*c(m)?\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 + 6*v**2 - 9*v**2 - 22 - 48*v**2 + 13*v + 13*v. What is m(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 551.0273 decades?\nAnswer: 5.510273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**5\/2 - 161859*n**4 - 14886579*n**3\/2 - 102416250*n**2 - 342990600*n + 453012000 = 0.\nAnswer: -107860, -20, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1006, -956, -904, -850?\n\"Answer: r**2 + 47*r - 1054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u, 4*u + 12 - 38 = -2*h. Suppose -2*z - 25 = -3*a, 2*a + h = -4*z + 33. What is the greatest common divisor of 63 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00233929 rounded to 5 dps?\nAnswer: -0.00234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.9 + -6.9. Sort 2\/15, y, -2\/5, -3 in descending order.\nAnswer: y, 2\/15, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -45, -38, -31?\n\"Answer: 7*c - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*o - l, 5*o = l - 7 + 24. What is the units digit of (6 - 2) + 82 + o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 188323356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 466148\/33 <= 14127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 260*z**4 - 298*z wrt z.\nAnswer: 3120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -3\/2*o**2 - 17 + 0*o. Let v(g) = 16*g**2 + g. Give v(q(j)).\nAnswer: 144*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 5*x**2 - 4*x - 3. Let o(q) = q**2 - 2*q + 3. Suppose -8 = -3*f - 2. Let s be o(f). Let p be -2*(s\/2 + 0). Determine t(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6601061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*n**2 + 152*b*n*y**3 - 706*b*y + 124*b + 2271*n**2*y**3 wrt y?\nAnswer: 912*b*n*y + 13626*n**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -77, -138, -201, -266?\n\"Answer: -h**2 - 58*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/69 and 11\/30.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-30906)\/(-442) - (-2)\/26 is divided by 32.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2410.73 + -2415. What is q rounded to 1 decimal place?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3075 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l*l**(1\/3)*l)\/l)**(-23\/2))**46)**11)**(-10) assuming l is positive.\nAnswer: l**(232760\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = x - 767. Let p = 2368 - x. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*d = 2*d - 52, 4*a - 44 = -2*d. Let g = a + -5. Factor -3*k**2 - 4*k - g*k - 1 - 3 + 0*k**2.\nAnswer: -(k + 2)*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-8) + (134793\/136 - -3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d - 21. Let n be u(-18). Let q be 3*n + 12\/6. List the prime factors of q + (-4 - -3) + 2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2173 - 223 = 10*c. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, 1, -4, -1\/3.\nAnswer: -95, -4, -1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10628\/3 - 3494. Let m = -48 + x. What is the nearest to m in 1, -0.4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 1. Let q(k) = -24*k - 5. Calculate -q(d) + 5*u(d).\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 879609 to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -9. Let g(d) = d + 3. Let x be g(m). Solve 0 = 2*s - x*s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6268672 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243952336?\nAnswer: 2, 149, 102329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 92 + -37. Let r = -19 - n. Let a = -28 - r. Does 23 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-16)*s**(3\/7))**19 assuming s is positive.\nAnswer: s**(-2071\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (245\/98)\/(5\/18).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7251*a - 3630*a - 3624*a - 2988 in the form t + v*a and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5656 less than or equal to 5654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5\/2 + 2645721*f**4\/2 + 874987226917*f**3 + 9624698107777*f**2 - 1749974453835*f\/2 - 19249398861275\/2 = 0. What is f?\nAnswer: -1322855, -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*-0.38\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 100\/(-3 - (-21)\/9). List the prime factors of 14\/(-7)*b\/4.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-117))\/(4\/(-36))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -3, 1584, -6.\nAnswer: -6, -3, 15, 1584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 50562157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -3 (c) -0.4 (d) 3\/2 (e) 2\/4327\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + 2 + (1 - -4 - 9). Suppose o*q = 4*t + 939, 7*q - 930 = 2*q - 5*t. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 52\/7*(-42)\/(-12). Let b(y) be the first derivative of -3\/4*y**4 + 2\/3*y**3 - 1\/12*y**6 + 2\/5*y**5 - 1\/4*y**2 + 0*y - z. Solve b(q) = 0 for q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9750 and 32091150?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15\/30 - (-3)\/(-18)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14130 - 14092. Calculate the greatest common divisor of 15542 and m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 13 and -17623073.\nAnswer: -17623060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(2\/9)\/l)*l**(3\/4)*l)**(-14)*((l**(3\/4)*l)\/l**(-6))\/(l**(1\/3))**(-2\/39) assuming l is positive.\nAnswer: l**(-6493\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890343 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.41 and -37462844035.\nAnswer: -37462844034.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1320 + -1319. Solve -7*c = -a - 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 3*g = 0. Solve g = 2*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31208613?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 138 and 13.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130 - 268. Let g = x - -140. Solve u + g*u = -6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -178, -233, -288, -343, -398?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-15) - 6536\/(-645). What is the second derivative of 2*n - j + 2*n**3 - 27*n**2 - 7 + 24 wrt n?\nAnswer: 12*n - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-5 - 8*q + 11 + 6*q).\nAnswer: 2*q - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*w + 48. Let n = w + -10. Suppose 0 = -5*s + 125 + 25. Calculate the greatest common factor of n and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(36)\/sqrt(4)) + 1 + sqrt(325) + sqrt(325).\nAnswer: 1 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/16 of a centimeter?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12529738 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + m. Let l be y(-3). Suppose a = l + 87. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0439 times -4145?\nAnswer: 181.9655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 166713\/4 or 41679?\nAnswer: 166713\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51291939.\nAnswer: 3, 17097313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9434651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -10 + -4 + 4 - -1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28557 = -3*c - 3*h + 102858, 0 = -2*c - 5*h + 87595. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -244*p - 9 - 66*p - 54*p - 38*p + 26. List the prime factors of d(-1).\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13161, -13055, -12969, -12897, -12833, -12771, -12705, -12629?\nAnswer: -12537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.1722 - -1.6722. What is the nearest to 29 in 4, 2.5, l, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**4 + 6*v**3 - v**2 - 2. Let l(s) = -7025*s**4 + 18*s**3 + 27*s**2 + 21*s - 6. Let t(q) = 3*j(q) - l(q). Find the third derivative of t(z) wrt z.\nAnswer: 168672*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -5\/3 (b) 0 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -95995 - -5?\nAnswer: -95990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 3 + sqrt(44) + -4 - (-1 + sqrt(44) - sqrt(176)*-5).\nAnswer: -19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2662*k + 3.\nAnswer: -2662*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*d = d + 72, 3*d - 126 = -3*s. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 406 + 26. Suppose -3*m - 432 = -3*y + m, 3*y + m = s. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2 - 19053*p - 459556. What is h(-24)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -142*i + 37. Give u(-1).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -25, -2\/11, -3\/4, 2 in increasing order.\nAnswer: -25, -3\/4, -2\/11, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 69.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 + 31*h. Let a(x) = 629*x. What is a(v(u))?\nAnswer: -1258*u**2 + 19499*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-10))\/((-9)\/15).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -15) + -21 + (29 - 26).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6 - -2. Let u = v + -0.2. Let j be (30\/(-12))\/((-190)\/20 + 9). Which is the closest to 3\/2? (a) j (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 0 + 39 - 13 - 9 + h. Let g be m(-14). Find the second derivative of -3*x**3 - x**g - 4*x + 7*x wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 2, 0, 0.05, -1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 13 + 50 + -62?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*j**2 - 5 - 206*j**2 + 5.\nAnswer: -309*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 847238140 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6314)\/15810 + (-4)\/(-10). Is i greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9 + r + 0*r + 0*r. Let a be x(6). Let b be (1*4)\/(10\/(-10)). What is the second smallest value in b, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0.1, -1221, 41\/4 in descending order.\nAnswer: 14, 41\/4, 0.1, -1221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 62076 (base 9) to base 5\nAnswer: 2302033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 83. Is i(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2. Let v(x) = -39*x. What is v(d(w))?\nAnswer: -39*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 9 + 4 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2647 + -4.\nAnswer: 2643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + (3 + sqrt(567) + (sqrt(567)*3 - sqrt(567)))*-3*-2)**2*1.\nAnswer: 22680*sqrt(7) + 919520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9098*n + 5 - 9100*n + 0)*(5*n + 0*n - 4*n)*(3 - 3 - 1).\nAnswer: 2*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*t + 5*q - 20, -4*q = 2*t - 12. Let j(b) = 2*b + 28. Let z be j(18). What is the greatest common divisor of z and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (63\/14)\/(-3)*(-20)\/(-6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -4. Suppose 2*a - p - z = -0*p, -5*a = -3*p - 15. Let d be (-4)\/12*a + 21. Solve -2*t + 3*m = -2*m - d, 5*t = -5*m + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 293925808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-270)\/(-105) + -6 + (-342)\/(-63). Find a such that -1\/11*a**i - 14\/11*a - 49\/11 = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 = 2*t - 10, -25 = -3*t - 5*q. Suppose -t*f + 30 = -s, -12 + 34 = f + 3*s. What is the least common multiple of f and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7743 is divided by 176?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4352098756 + -4352098422.9999993. Let d = u + -333. What is d rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**5\/60 + p**4\/6 - 9*p**2. Let f be t(3). Suppose -f*c - 56 = 5*c. Is c greater than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 328\/77 + -6\/11. Suppose 4 = 2*o, 4*d = 4*o - 9*o - 30. Calculate the common denominator of -8*(1\/(-2) - 13\/d) and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 14*q**2 - 29*q + 64. Let i be l(12). Solve -7*v + 3*v - 24 = -i*f, -3*v - 4*f + 3 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*u - 13. Let r = -4 + u. Let q = r + -2. Which is bigger: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433867.\nAnswer: 7, 61981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -95.5 (b) -1 (c) -7 (d) -0.4 (e) -4\/3 (f) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, g: 2, e: 1}. Give prob of sequence gge.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 8 = 21. Suppose -3*f = -t + 2*t - 11, -5*t + n = 2*f. Suppose -o - f*y = 7, 3*y + 18 = o - 0*o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {o: 7, d: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 8*g - 2. Let r be x(-6). Suppose -5*l - r = -645. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + sqrt(9)*-1*-3)\/(-2*sqrt(75) - sqrt(75) - sqrt(75)) - (5 + (sqrt(3) - -1*sqrt(147))**2 + 2).\nAnswer: -199 - sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkk when three letters picked without replacement from fkmffmxfffkoffmfff?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*t, 0*p + 875985 = p - 5*t. What is p rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2439052 or -2439054?\nAnswer: -2439052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - (0 - -2) - -27) + 1 + -51?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*q + 177 - 177 - 25*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.5 - -145.\nAnswer: 131.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 322\/1003 + -12\/59. Suppose -15 = 3*n - 3*s, 20 = 3*n - 2*n + 4*s. Is n at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28626 + 28625.9. What is the closest to 0 in -7, f, -3, 6\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*v + 13*v - 5*v - 4 in the form t + h*v and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/436 + 3465\/10028. Let f = 36\/161 + q. What is the nearest to -0.1 in 0.05, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**5\/5 + 4*q**3\/5 - 2*q\/5.\nAnswer: -2*q*(q - 1)**2*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 15*m - 105035 = -83*m - 96503 for m.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717 a factor of 19779678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -38, -306, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.5939 - -0.0561. Sort s, -5, -0.4 in decreasing order.\nAnswer: s, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11406 - -11392 - ((-1 - -2) + 123)) + 18.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-1\/2)))**(1\/27))**(4\/9) assuming b is positive.\nAnswer: b**(2\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -2*a**3\/3 - 9*a**2\/2 + 10*a + 349. Calculate f(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/28)\/(12\/(4\/((-60)\/21)))?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = 10*g + 5*n - 25, -5*g + 5*n = -20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2549 divide 1745654611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4666839 to the nearest 100000.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 14 = -16. Let p be (-86)\/20*45\/g. Let b = p + -32. Which is bigger: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*x - 5 - 3, -4*w = -3*x - 16. Suppose -3*j + 2*s + 16 + 14 = 0, -4*s - 44 = -w*j. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + 11324452?\nAnswer: 11324503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.8? (a) 1\/3 (b) 18.7 (c) -0.01 (d) -3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 21*l - 286 = 24886. Calculate the remainder when l is divided by 160.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 759*m**4 - 763*m**4 - 18*m + 2 + 3*m**2 to c*m + i + k*m**3 + n*m**2 + l*m**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 697 - 543. Suppose -18*c + 19*c - 14 = -3*m, c - 5*m = 14. Calculate the greatest common factor of u and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {b: 1, x: 5, w: 3, c: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 m when four letters picked without replacement from mmqmqmq?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 16*w**2 - 16*w + 25. Suppose -14*s + 18*s - 208 = 0. Let z = s - 35. What is the tens digit of b(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 27. Calculate the remainder when 17 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*(-1 + 4*(1 + -2 + sqrt(1300))))**2 + 4.\nAnswer: -360000*sqrt(13) + 18742504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + w + 23 = g, 5*g + w = 27. Suppose -65 = -v - g*k, -55 = -2*v - k + 30. What is the greatest common factor of 16 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21477 or -21479?\nAnswer: -21477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/3 - -3) + 33\/11 - -7?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -21.9. Let s = -1.9 - w. Which is the closest to -1? (a) 7 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2. Let l(h) be the third derivative of -h**5\/10 + 5*h**2. What is 5*f(z) + 3*l(z)?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2194581 - 13324.\nAnswer: 2181257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*h + 11, 2*x + h + 5 = 3*x. Suppose 38 = 4*w - x*z, 2*w + 0*z + z = 17. Let i = 11 - w. Which is the second biggest value? (a) -2 (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + 13*j + 2024 - 10122 - 1743.\nAnswer: -3*j**2 + 13*j - 9841","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 52, 64, 82, 106, 136, 172?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**23\/((k\/k**(-1\/29))\/k))\/(((((k**(1\/12)*k*k)\/k)\/k)\/k)\/k)**(-9))**(6\/7) assuming k is positive.\nAnswer: k**(1989\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**3*x - 387502*l**3 + 22*l*x - 1852*l wrt l?\nAnswer: -6*l*x - 2325012*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1298*b - 422*b + 6255 = 365*b. Solve 0*v**b - 6\/7*v**2 + 2\/7*v**4 + 4\/7*v + 0 = 0 for v.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - (-2 + 0)) + 7. Find the third derivative of 4*w**2 - 4*w**q + w + 2*w - 3*w wrt w.\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 11, b: 1}. Give prob of picking 3 y and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3 - -3)\/2)\/(-2). Suppose x*h + 100 = 5*h. Suppose -5*u + 9 = -v, 5*u + 0 = -v + 31. Calculate the remainder when h is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11108 take away 0.1?\nAnswer: -11108.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1252*o + 1005 = -1247*o. What is the lowest common multiple of 7 and o?\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + 0.3. Let o = 107978 - 107977.800004. Let b = o + w. What is b rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (38\/(-10) + 4)\/(-1). What is the smallest value in 0.5, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 44*k**2 - 15*k - 58. What is the tens digit of c(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 12 - 78*t - 4 + 20*t. Let n be r(2). Let c = 122 + n. Solve 0 = 3*b + 4*l - 25, -3*b - 2*l + c = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 9*p - 10. Let q be a(-11). Calculate the greatest common factor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 311696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19 - 4 - (-1 + -1). Let m be 2\/6 - 76\/(-6). Let r = u - m. Are r and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-433 + 433 - 72*s + (2 + 0 + 0)*(0*s - 3*s + 2*s))*(3*s**3 + 4*s**3 - 5*s**3) as l*s**3 + r*s**2 + n + f*s**4 + g*s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4712 and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102211020 - 1001121?\nAnswer: -1110212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -176 in increasing order.\nAnswer: -176, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33453.232 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/(-60)*(-1)\/(3\/90). Which is the closest to 0.1? (a) -5 (b) n (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2814*b + 2961 = -2673*b for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1271*x - 75 = 1286*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {w: 2, f: 3, i: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 658*n - 59*n**5 - 15998 + 2*n**2 - 8*n**2 + 15996 wrt n.\nAnswer: -1180*n**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/54 and (-254)\/12*7\/(-56).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**3 - 2*a**2 + 31*a + 33. Let s be g(-1). Let c(t) = -2 - 2*t - 3*t + 3*t**2 + 3. Is c(s) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - ((5 - -4) + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-5))\/(m\/m**(2\/3))*(m**(1\/7)\/m)\/m**4 assuming m is positive.\nAnswer: m**(-193\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 25. Determine c(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/46)\/(3\/(-8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 1. Let d(x) = 4 - 3*x - 3*x + 3*x - x. Suppose 3*p + 4*l - 34 = 0, 0 = 2*p + 60*l - 62*l - 18. Calculate p*g(o) - 3*d(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.14 + 11.86. Let b = n - 11. Is -1\/4 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2599 - 7801\/3. What is the third smallest value in l, -0.9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1387 and 146.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 350, 334, 310, 272, 214, 130, 14, -140?\n\"Answer: -f**3 + 2*f**2 - 15*f + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86\/5 - 167\/10. Let d(a) be the first derivative of -2 - x*a**2 + 1\/9*a**3 + 2\/3*a. Determine c, given that d(c) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 443.01 + -440. Let p = -3 - -2.99. Let v = p + i. Which is the second smallest value? (a) v (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, 1577\/23, -0.1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*i**2 + 41*c**2*i + 2*c + 2*i**2 + 51 with respect to c.\nAnswer: -2*c*i**2 + 82*c*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12729755 to the nearest integer?\nAnswer: 3568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18*208\/(-24) + 13. Which is smaller: -141 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 + 15*s - 5. Let c be l(-5). Suppose 4*b + 2*b = 60. Suppose 3*p + k = b, 4*p - 2*k = -5*k + 20. Solve p*q - c = 7*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5730, -22963, -51684, -91893, -143590, -206775?\n\"Answer: -5744*o**2 - o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1074)\/(-108) - 13 - (1 + 0) and 109\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(16\/(-40))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/9 + 369390*z**2 + 44326000*z\/3 + 1329772000\/9 = 0. Calculate z.\nAnswer: -1662215, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 46323600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -34?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2013442320 + -4?\nAnswer: 2013442311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 smaller than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 6*n**2 - n - 5. Let c be g(-6). Solve c = v + 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 + 3*d**2 + d - 2*d**2 + (5*d - 3*d - 4*d)*(529 - 744 - 760)*(6*d - 4*d - 3*d) to a + b*d**2 + o*d and give b.\nAnswer: -1954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 2*j - 3*j + 60)*(100*j**3 - 120*j**3 + 52*j**3).\nAnswer: -64*j**4 + 1920*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1128 + -1.\nAnswer: -2.1128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -230*a**3 - 2*a**2 - 2*a - 1. What is the hundreds digit of j(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (130\/(-4))\/((-4)\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 2*g - g)*(-3 + 17194487*g - 17194126*g + 2) to a*g**2 + u + n*g and give a.\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b - 53. Let j(f) = -f - 18. Calculate -17*j(x) + 6*p(x).\nAnswer: -x - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 172. Let s(m) be the second derivative of m**3\/6 + 77*m. What is g(s(h))?\nAnswer: 2*h**2 + 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1025 and 1.\nAnswer: -1025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 less than 1.1495872?\nAnswer: -121.8504128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131 - -200. Let s = -70 + j. Sort -2\/5, s, -0.5, -4 in ascending order.\nAnswer: -4, s, -0.5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1576, 1792, 1824, 1672, 1336, 816?\n\"Answer: -92*h**2 + 492*h + 1176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -90597241 or -90597235?\nAnswer: -90597235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = -k + 110. Let x = k + -52. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*a - 20, c - 4*a - 18 = -2*c. Calculate the remainder when 231 is divided by -4*c*4\/((-32)\/29).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 599807077?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**3 - 18199*k**2 + 82846379*k - 413777045 = 0.\nAnswer: 5, 9097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -64 - (0 + -4 + 48 + -21 + -30)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-1)\/1)\/(5\/5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aav when three letters picked without replacement from taavtgqmv.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/3432 + 22871\/30888. Find the common denominator of 31\/9 and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1496422 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 211.\nAnswer: 2321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 6 = 3*o - 4, -6*s + 16 = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3506.3 - -4038. What is j rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 242*u + 2*u**2 + 241*u + 15*u**3. What is l(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 2. Let b be g(-5). Let t(x) = 3*x**2 + 2*x - 6. Is t(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 20 = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**4\/24 - 9*w**2. Let d(v) = 9*v. Give c(d(f)).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 2144 (c) -3.943\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -15*n**4\/4 + 7*n**3 + 87*n**2\/2 + 51*n - 42. Find b, given that t(b) = 0.\nAnswer: -1, 17\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 669 - 1244. Let w = 615 + x. Calculate the remainder when 180 is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + o**2 - 22*o + 34. Let s be j(3). Sort -331, 2, s.\nAnswer: -331, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -10, 0.06, -2\/19, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 3. Let s be k(8). What is the tens digit of 1\/(s*1\/165)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-783)\/(-153) + 4\/(-34). What is the common denominator of 2\/m - (-13083)\/630 and 35\/34?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4)\/((7 - 2385\/340)\/((-36)\/54))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 1 + 1)*(2 + 1 - 5) + 0*y - y + 2*y - 772*y + 297*y - 99*y - 848*y.\nAnswer: -1417*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(4 + (407654 - 5) + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*h - 3184 = 0, -2*f = 9*h - 10*h - 1278. Does 58 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-243)\/(-4212))\/(-8*18\/(-156))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*m, -x - 7*m - 2 + 40 - 12 - 8 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5219799 divided by 7873.\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 93. Let h = v - 20. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48292299 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -3 + 27 + -12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 82*z**3 + 3*z**2 - 1. Let k be t(1). Let y = 23 + k. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*p**2 + 227 - 77 - 79 - 79 in the form m + u*p**2 + n*p and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4\/3 - 196*l**3\/3 - 190*l**2\/3 + 388*l\/3 = 0 for l.\nAnswer: -97, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 1245248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.4668815 months to years.\nAnswer: 0.122240125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**7\/2520 - i**5\/20 - 2*i**2. Let o(l) be the third derivative of s(l). Let j(c) = 9*c. What is o(j(y))?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**3\/3 - i**2\/2 + 3*i + 4. Let w be d(0). Let z(o) = 0*o - o - w*o. Let y(c) = -2*c**2. What is z(y(s))?\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*i + 3*x - 0, -5*x = -3*i - 18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 45231424425?\nAnswer: -45231424420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/(a\/a**1*a)*a))**(-45))**38 assuming a is positive.\nAnswer: a**1710","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2 - 14*w - 8. Let u(n) = 2*n**2 + 9*n + 5. Let k be (-19)\/(798\/360) - 8\/(-14). What is k*u(h) - 5*d(h)?\nAnswer: -h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -989358 + 989175.0203. Let i = -183 - z. Let y = 0.02 + i. Round y to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 - -6.08. Let r = -1550.8 + 1551. Which is the closest to r? (a) 5 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17393727749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 16*r - 20. Let k(l) = 15*l - 20. Let a(n) = -4*k(n) + 3*m(n). Is a(-5) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (9 - (2 + 13))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 0*a**2 - 3 + 12*a - 18*a - 4*a + a**2 - 10*a**2 - 2*a**3. Give l(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 8:19 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561\/5 != 513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 2*s + 2*s)*(0 + 0 - 3) + s - 3*s + 3*s + (1 - 2 + 3)*(-4*s + 3*s + 0*s) + 2*s - 2*s - 3*s + 2*s + 0*s + 6*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -108 - -254. Let c = u - -648. Let y = 2308\/3 - c. Calculate the common denominator of y and 37\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 13*o - 14. Let m be h(-11). Suppose 5*p - 22 - m = 0. List the prime factors of (24\/2)\/(p\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-8))\/(1\/4). Let d be (0 - (h - -4))*-1. Find the second derivative of d*o**4 - 2*o + 0*o + o wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 + 75. What is the lowest common multiple of 63 and a?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(1*8))\/((-117)\/156)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 134. Suppose 6*s = 5*s + g. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32978 > 32979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001101 - 100?\nAnswer: -100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 233841?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/5184 and -169\/17280.\nAnswer: 51840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 6*r - 8*r**2 - 474 + 14*r**2 + 489. Determine h(6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 11. Suppose -8*z + m*z = 0. Suppose 3*w + 2*w - 300 = z. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4))\/(-4*2\/(-192)). Let u = -31 + c. What is the third derivative of 24*l**2 + 31*l**5 - l**6 - 62*l**5 + 31*l**u wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((19250\/450 - 43)*(-3)\/9)\/(2\/18).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 5*d + 2. Let f(k) = -k**2 - 10*k - 5. Let b = -3 + 8. Let r(a) = b*t(a) + 2*f(a). Find the second derivative of r(z) wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 9*y**2 - 9*y + 5. Let w be (0 - 0) + (18 - 10). Let t be j(w). Let o be t\/12 + (-292)\/(-16). What is the greatest common divisor of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*f + 884*w - 879*w + 30, -5*w + 6 = 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 f when three letters picked without replacement from {f: 5, z: 6, d: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -631\/3?\nAnswer: -631\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -644.533 rounded to 0 dps?\nAnswer: -645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2729723 to the power of 1\/2, to the nearest integer?\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Suppose 20 = -n*w + w. Calculate the least common multiple of 10 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa3e08 (base 16) to base 2.\nAnswer: 101010100011111000001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 17\/53?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6*i*i)**29\/((i**(-2\/15)*i)\/(i**(-6\/11)\/i)))**(2\/67) assuming i is positive.\nAnswer: i**(75764\/11055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*1*sqrt(320) - (3 + -1 + sqrt(320) - sqrt(320)))**2 + (sqrt(405) - (0 + (sqrt(405) + sqrt(405) + -1 + sqrt(405) - sqrt(405))) - sqrt(405)) + 4.\nAnswer: -114*sqrt(5) + 2890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*w**2 - 119*w**2 + 256*w**2.\nAnswer: 52*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 835.\nAnswer: -8\/835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(-190))\/(1\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0.2, -3, 3\/4, 3 in ascending order.\nAnswer: -15, -3, 0.2, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -18.0486 smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1002132401 (base 5) to base 15\nAnswer: 294836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/9, -1\/7, 4.3 in decreasing order.\nAnswer: 4.3, 4, -1\/7, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 736\/131 + -26189\/6550. What is the common denominator of -62\/895 and w?\nAnswer: 8950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56.3 - -39. Let j = -19.3 - c. Let p = 29\/2 - 15. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 1. Let r(t) = t**3 - 2*t**2 - 2*t + 3. Let j be r(2). Let b(c) = -2*c - 2. Let q(u) = j*i(u) - b(u). What is the units digit of q(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + 5*i - 5. Let u(b) = 1 + 4 - 4*b + 0 - 3*b**2 - 1. Let z(o) = 4*g(o) + 5*u(o). Let x(t) = 0*t - t + 2*t. Calculate x(z(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 18. Let w be p(18). What is the second derivative of -5*r + w*r**5 + r**5 + 2*r**5 - 2*r**5 wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 153252.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-32)*1*22*-2. Solve -3*x - 2*f = h, 3*x - 14 = 7*x + 3*f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21991392?\nAnswer: 2, 3, 25453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v. Let o be c(-2). Suppose x + 9889 = o*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-379 + 379 + 17*k**4)*(1 - 2 + 0).\nAnswer: -17*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.21 + -0.21. Which is bigger: -0.3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + -12.5. Let n = l + 13.2. Let i = -374 + 749\/2. Which is the nearest to n? (a) 0.3 (b) 5\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 16*b + 6. Let w be 12*(-2)\/16*2*6. Let f be l(w). Suppose -y - 2*g + 6*g = -193, 0 = 3*y + g - f. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 819787.6 centimeters to meters.\nAnswer: 8197.876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(11)*-2*1 + 3) + (sqrt(11) - 1*(sqrt(11) - ((2 + sqrt(11))**2 + sqrt(11)))) + (sqrt(11) + (sqrt(88)*-2 + sqrt(88) + sqrt(88))\/sqrt(8))**2.\nAnswer: 11 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.97 - -0.03. Let g = -9 - -9. Let y = 269\/99 + -25\/11. Which is the nearest to -0.1? (a) d (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**2 - 9*s + 3*s**2 + s**2 + 13*s**2 wrt s?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2830287 - 1852642. Let p = 977644.599961 - q. Let u = p + 0.4. Round u to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*o**3*y + o**3 - 235*o**2*y + 2*o wrt o.\nAnswer: 306*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 7*r**2 - 9*r + 1. Let n be p(-8). Let t = 15 - n. Solve -2*j - t + 0 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 251503\/124 - (-2)\/(-8). Suppose q*v - 2026*v = 952. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-2)\/2 + 0. Suppose 3*m - 25 = -2*l, -3*l + b*m + 2*m - 5 = 0. Suppose 18 = l*v - 22. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0*b**6 + 0*b**3 + 3*b - 5\/21*b**7 + 0*b**5 - 13\/12*b**4 + 0 + 0*b**2. Find the third derivative of w(u) wrt u.\nAnswer: -600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(15\/(8820\/(-112))).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 16*u**2 - 140*u + 21. Determine v(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -46. Solve 0 = r*n + 3*a + 8 - 32, 4*a - 27 = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(21 + (-17 - 11)) - (-1551)\/75?\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/5 and 52\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/24 + 7\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 16891511+-0.42\nAnswer: 16891510.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -633*a - 2528. Let f be v(-4). Solve 5*i + 24 = -2*o + 35, -f = 2*o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - sqrt(140)\/(sqrt(5) + sqrt(5) + sqrt(35)\/sqrt(7)))\/(sqrt(4) + 1*sqrt(144)))**2*4.\nAnswer: 16\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1045*i**6 + 2204*i**2?\nAnswer: -125400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -17. What are the prime factors of (-1 - 1)*(-4 + (-515)\/l)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*(sqrt(833) - 4*sqrt(833))*2)**2.\nAnswer: 269892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**5\/15 + j**4\/12 - j**2. Let g = 7 - 9. Is 12 a factor of c(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8073088.334 minus 146?\nAnswer: 8072942.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-1540)*-55 + (-77)\/4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 453822264 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10.91 * 14\nAnswer: 152.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (10 - (-12 + -2 + 19))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8184549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-4) - 23\/(-2). Suppose 5 - s = -2*g. What is the third derivative of g*x + 2*x**2 + 2*x - 6*x - x**5 wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g**(5\/4)\/g)\/g)\/g)**(-49)\/(g**(-2\/11)\/g**(4\/5)) assuming g is positive.\nAnswer: g**(8301\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 276, 196, 10, -288, -704, -1244, -1914, -2720?\nAnswer: -3668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 + 6*z**2 - 6*z**2 - 3*z**5 - z**5 + 2*z**5 + (-2 - z**3 + 2)*(-z**2 + 5 - 5) + 5*z**5 - 6*z**4 + 6*z**4 + (0*z + 4*z - 6*z)*(2*z - 2*z - 2*z**4).\nAnswer: 10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + sqrt(275) + sqrt(275) + sqrt(275) + 2 + 5 + -5 + 5 + -1 + sqrt(275) + 4)**2.\nAnswer: 440*sqrt(11) + 4521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 3326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 522\/(-4))*(-1 + 3). Let p = 398 + r. Calculate the remainder when p is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmllrrrmrzmmmzrmmmr. What is prob of picking 2 m?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 172 + -70. Let o = c - 133. Let k = o + 64. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1219962672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8229 and -0.2.\nAnswer: 0.16458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37.16 and -82.48?\nAnswer: 3064.9568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-9))\/((-2)\/(-294)). Let i(s) = 9*s**2 - 3*s + 7. Let k be i(-7). Suppose k = 2*y - n. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 8:06 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 16 + 17*k - 14 - k**2 - 10 - 21. Let o be u(15). Suppose -l - 4*x + 20 = 2*l, -2*l = 4*x - 20. Solve j - 2 - o = l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52.48 - 53. Let v = m - -0.519383. What is v rounded to 5 dps?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 3 (c) -1\/9 (d) -2\/7 (e) 697\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780669100?\nAnswer: 2, 5, 277, 28183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 18 = -3*n, -4*o + n = o - 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114\/317 + 2878\/951. Factor -l + 2\/3*a**2 - 2*a.\nAnswer: 2*(a - 4)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 3, s: 1, k: 2, e: 5}. What is prob of picking 1 s and 1 i?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27619 - -37530. Does 80 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -0.5 (b) 1\/4 (c) 3\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 9. Let v = 11 - 5. Let i be d(v). Determine q so that q**3 - 3*q**4 + q**3 + 3*q**2 - 4*q**i + 3*q - q**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**4)**(9\/13))**(2\/35) assuming v is positive.\nAnswer: v**(18\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105659*t + 106475*t - 2448 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5989 = x + 4*v, -3*x + 3979 = 5*v - 14002. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 + 111*b**2 - 803*b + 23. Give j(-62).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21122641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 58967096317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -254 by 254.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaammaaaammammammamm. Give prob of sequence mamm.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 2*o + 244 + 117, m + 69 = -2*o. Let s = 85 + m. Solve -2*n = 2*n + s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, -5, 0.06, 0.2 in descending order.\nAnswer: 0.2, 0.06, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*63*(-278)\/(-1251).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 7 = 2*l. Suppose 4*j + j = l. Find v, given that -6*v**5 - 8*v**3 + 11*v**j + 3*v**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(1100)*-2 - (sqrt(1100) + sqrt(1100)*-2*6)) + 5*sqrt(891)*2*-1)**2.\nAnswer: 215600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/(-64))\/(10\/(-24)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1507*r + 23505 = -1504*r. Suppose 31*p - 132 = r. Calculate the remainder when p is divided by 49.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 4. What is the lowest common multiple of 6 and r(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -430*c**5 - 324*c**4*n - 462*c**2*n + 17*c*n + 2*n - 2 wrt c.\nAnswer: -25800*c**2 - 7776*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-5) + 4\/20)*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2. Suppose k - 3*f + 1 = 0, -4*k - 2*f + 22 = -f. Suppose l = -j + 14, -3*j + l - 24 = -k*j. Let g(a) = 1150 - j*a - 1150. Determine g(q(d)).\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + -4.8. Let w = 652.9 - 653. Which is the closest to w? (a) q (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168 (base 9) to base 2\nAnswer: 10001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -3\/2, -1\/6, -17, 3, 2\/801, -5?\nAnswer: 2\/801","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3424 + -1840. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 55131 and -2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23120 (base 4) in base 2?\nAnswer: 1011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 534776544 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -f, 5*a - 3*f - 1569 = -434. List the prime factors of a.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 11) to base 8.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 767 times -56107?\nAnswer: -43034069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66800.18um to centimeters.\nAnswer: 6.680018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - i**2 - i + 1. Let p(t) = -9*t**3 + 2*t**2 + 6*t - 5. Let a(y) = -3*n(y) - p(y). Let b = -949 + 950. Calculate a(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22200000 to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -22*i + 15*i - 12 - 43*i + 15*i**2 + 5. What are the prime factors of u(6)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y**2 + 8. Let t be f(-2). Let o(d) = -d**2 + d - 12. Let h be o(3). Let i be -49*(-4)\/9 - 4\/h. What is the greatest common factor of i and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x - 4*x + x**2 + (-2*x + 2*x - 2*x)*(-3*x - 3 + 3))*(-5*x**2 + 2*x**2 + 4*x**2) to q*x**3 + t*x**4 + v*x**2 + w*x + l and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 42560 divided by 16\nAnswer: 2660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16757 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 20 = j - n, 4*n + 20 = 0. Let v = 5 - 1. Factor j + 0*s + 4\/5*s**3 - 2\/5*s**2 - 2\/5*s**v.\nAnswer: -2*s**2*(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2823, 2820, 2817?\n\"Answer: -3*l + 2826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*f = -0 + 6, 4*b - 5*f = 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43\/2 - -22. Is 0 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54786.\nAnswer: 2, 3, 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 12)*(-24)\/(-56).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7169\/861 - -2\/287. Let l = -9 + c. Sort -2\/5, l, -0.1, 3 in descending order.\nAnswer: 3, -0.1, -2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*t + 10, -2*d + 32 = 6*t - 6. Which is smaller: 1\/4097 or d?\nAnswer: 1\/4097","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + 15*f - 50. Calculate the least common multiple of q(4) and 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6619718 and 6619719 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h + 9. Let r be i(2). Let d be 2\/4*(-9 + r). Let p(l) = l + 2*l**2 - 2 + 1 - 1 + 1. Give p(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 2:11 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120252 divided by 30063.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 12 - 48 = 0. Let m be 6\/x + 136\/40. Let s(w) = m*w - 23*w**2 - 3*w + 17*w**2. Let z(o) = -2*o. Calculate z(s(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 83.48672 nanometers?\nAnswer: 0.00000008348672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/9 - 518*t**2 - 1046146*t\/3 - 470551378\/9.\nAnswer: -2*(t + 209)*(t + 1061)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/5 + 9512*o**4\/5 - 1345380*o**3 - 11852001944*o**2\/5 + 4750180414*o + 7119233520 = 0. What is o?\nAnswer: -776, -1, 3, 2765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/(-60)*490\/35 - (-2)\/5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215678461 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4582 is divided by 170?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.7 and 87.265.\nAnswer: 235.6155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -727 at least -726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 20277.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f + 93 = -35. Let s be (-1)\/4*f\/(-3). What is the nearest to 0.7 in -2\/5, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*n + 31*n - 37*m + 66, -3*m + 2 = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 1, -77, -2\/3?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 266, 910, 2174, 4268, 7402?\nAnswer: 11786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from zfffzizzzzfzzffflizf?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 7*u**2 + 6*u + 4. Let g be i(6). Suppose g*h - 10 = 10. Let b(p) = 3*p + 10. Calculate the remainder when 47 is divided by b(h).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 + 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (14 - (8 - 1)) + 14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3\/7 + 18*l**2\/7 + 24*l\/7 + 8\/7.\nAnswer: 2*(l + 2)**2*(2*l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81702 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.07 + 0.07. Let j = h - -2.999. What is j rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 5*m - 4*m + (8*m - 2*m + 2*m)*(-39 + 4 - 35).\nAnswer: -562*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1632\/233 - 7)*(-4 + 132\/32). Is m >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -22*x + 1007. What is the remainder when f(43) is divided by 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -6)\/(2\/2). Suppose -3*g = -5*t + 5, 4 = -w*t + 7. Suppose g = 3*y + 46 - 301. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 9:15 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - -25. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2 - 4*x - 3. Let w be (147\/98)\/(3\/(-14)). Let d(h) = -h**2 - h - 1. Suppose m = -0*m + 2. Give m*z(u) + w*d(u).\nAnswer: u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 3 - -1) + -14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/2)\/(5\/(-2)). What is the nearest to -0.1 in q, -6\/11, -2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 491*g**2 + 27*g + 3. Let o(p) = 9821*p**2 + 549*p + 61. Give -122*m(h) + 6*o(h).\nAnswer: -976*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 + p**3 - p**3 + (-p + 3*p**2 + p)*(-22*p - 46*p - 6*p) as g*p + b*p**3 + m + n*p**2 and give b.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13447664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 10 = b, 2*b + g = 6*g + 31. Let k = -8 + b. Put 1, 4, k in increasing order.\nAnswer: 1, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 5. Let h be k(9). Suppose 3*l = -2*m + 8, -l = 2*m - 0*l - h. Let w = 13 - 9. Solve 1 = -r + 5*q - m, 0 = -4*r + w*q - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 691 + -694. Put t, -1\/8, 10 in increasing order.\nAnswer: t, -1\/8, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (121473\/(-60))\/9. Let y = g - 223. Which is bigger: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200199, 199800, 199137, 198210, 197019, 195564, 193845?\nAnswer: 191862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x + 2. Let i be g(-2). Find the common denominator of i\/15*(-240)\/(-9) and 59\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 8:01 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/12573 and 74\/297?\nAnswer: 37719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3315512 by -3688.\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7476 divided by 1246?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -30, 902 in increasing order.\nAnswer: -30, 4, 902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 11682. Suppose 7*i = 4*i. Let z be p(i). Suppose -7918 = -4*y + z. Round y to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.4833319+-0.3\nAnswer: -2.7833319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(3 + 1) - (0 - -1). Let o = -6 - -10. Sort v, -1, o in increasing order.\nAnswer: v, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 846\/(-42) - (-861)\/41.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 8:02 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23\/(115\/(-24)) + 4\/5. What are the prime factors of (-78)\/z*(8 - -16)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.1? (a) -0.1 (b) 141.2 (c) 0.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.60265 rounded to one dp?\nAnswer: 42.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 81*q**2 - 24*q - 11. Let s(w) = 40*w**2 - 13*w - 6. Determine -6*f(d) + 11*s(d).\nAnswer: -46*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5413*k*w**5 - 63*k*w - 5*k + 1 wrt w?\nAnswer: -108260*k*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6552091 less than 82?\nAnswer: 81.3447909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/(-6) - 0 - 1. Let x be -3 - -4 - -1 - -20. Calculate the highest common divisor of x and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 32*h**2 - 3*h - 201. Let x be s(-14). Suppose 0 = -4*t + 515 + x. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 1. Let o be 6\/2 - g\/(-4). Suppose 9 = t + 4*p, -2*t + 22 = -p + o*p. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 8, 22, 40, 62?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -145*j**2*p**3 - 3462*j*p**3 - 4*j - 8247*p**3 - 14*p**2 + 31*p wrt j?\nAnswer: -290*j*p**3 - 3462*p**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*b - 49*b + 17308 - 59*b - 17308.\nAnswer: -193*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b*u**4 + 3*b*u**3 + 2*b*u**2 - 2*b + 44*u**2 wrt u.\nAnswer: -24*b*u + 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 949 - 947. Solve x - 6*x = -f*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaqaaaqa. What is prob of picking 2 q and 2 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 4 = 3*g. Let l = -5850 - -29246\/5. Which is the closest to g? (a) -2 (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2 - 3920*i + 450599. Give l(847).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -9, 0.073548, 0.1, 1\/4?\nAnswer: 0.073548","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 31. Suppose -q + 8*q - 119 = 0. What is the remainder when 41 is divided by o(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5921715 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42 or -43?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 74, -2, -5, 683?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - 1*sqrt(20))*-4)\/(2*sqrt(30)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t + 41*t + 16*t)*(0*t + 4*t - t) - 2*t**2 - 3*t**2 + 2*t**2 as j*t**2 + n*t + k and give j.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*d + 6 = 0. Suppose -4 = -0*v + 2*v + d*k, -k = 2*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 5\/6*h**3 - h + 0*h**2 + 0. Let d(q) = -2*q**2 - 141*q + 67*q + 74*q. Give i(d(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 105912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*h*j**4 + 3*h*j**3 + h*j**2 + 2*h*j - 7*h - 3 wrt j?\nAnswer: 228*h*j**2 + 18*h*j + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8167 at most 7163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10*h - 130. Let p(x) be the third derivative of -x**5\/30 + 2305*x**2. Determine p(w(c)).\nAnswer: -200*c**2 - 5200*c - 33800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 42339.32 millilitres?\nAnswer: 42.33932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 5:29 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**3 - q**2 + q + 1. Let d be u(-1). Suppose y + 4 = -4*j + 19, 4*j - 18 = 2*y. Differentiate 3*l**4 + 2*l**j + 1 - d*l**4 with respect to l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/20*(97*-5 - 6\/2). Solve 9*v = 86 - o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, 0, -10.\nAnswer: -13, -10, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3 + 7166*m**2 + 7160*m - 14328 = 0?\nAnswer: -3582, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from {s: 1, p: 2, b: 1, n: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -7. Let w(f) be the first derivative of f**3\/3 + f**2\/2 + 17*f - 1285. Calculate w(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1*x)**(-25))**(15\/8)\/(x**0\/x**(1\/5)*x**(-1\/7)*x**(-3)) assuming x is positive.\nAnswer: x**(-12657\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 4*p + 5*k, 10 = -68*p + 66*p - k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y - 23. Let q be i(-11). Let x = q - 54. Solve -4*n - 3*b = -0*b - 17, x = -4*n - 5*b + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7596\/(-1477))\/((-6)\/63*-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/20 and 9\/13219180?\nAnswer: 13219180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3623, 7250, 10877?\nAnswer: 14504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 176 - 80565.\nAnswer: -80389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3*x + 69, x = -3*d + 8 + 71. Let n = -25 + d. Solve -s + 12 = n*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/11)\/g**(2\/9)*(g**(-1\/4)*g)\/g**(-3) assuming g is positive.\nAnswer: g**(1325\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*h + 15. Suppose 0 = h*t + t + 12. Let q be t\/(-30)*(-10)\/(-12). Sort -5, q, 0.5 in decreasing order.\nAnswer: 0.5, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 16*t - 25*t - 34*t - 46. Is f(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*i**5 - 206*i + 1910*i**3 + 557*i**2 + 933*i + 125 + 1673*i**2 + 198*i + 525*i**4 = 0. Calculate i.\nAnswer: -5, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4345.00008424 + -4345. Round f to 6 dps.\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-296)\/222 + (-45860)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 1\/2, 0, -64 in increasing order.\nAnswer: -64, -1\/10, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160*(-6)\/15*((-1551)\/(-2068))\/(9\/5)?\nAnswer: -80\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b. Let k(y) be the second derivative of 0*y**2 - 35*y + 1\/12*y**4 + 0 + 0*y**3. What is o(k(d))?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.045 - -68.045. Let i = 68.000016 - w. What is i rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 > 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2149 = 691*d - 1239 - 1240 + 1173 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**3 - 7*y. Let p = 52 + -182. Let r = p + 151. Let l(s) = 54*s**2 + 17*s + 2*s**3 - 54*s**2 - r*s. Determine -7*l(d) + 4*z(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (108\/10)\/(45\/7800) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -4*l**3 - l**2\/2 + 6. Let i be ((-9)\/6)\/(-1)*(-6)\/9. Determine o(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.5 and -5.5.\nAnswer: 96.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + y - 12. Let d be q(3). Let h be (7 - 4 - (-14)\/(-4))*d. Solve h = 2*l - 0*l + 2*a - 2, 0 = -5*l - 3*a + 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 5*w - 4. Let l(j) = -j**3 + 11*j**2 + 11*j + 13. Let h be l(12). Let x = h + -1. Suppose 8*r - 7*r - 5 = x. Determine o(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 20 = -3*g. Suppose g*u - u - 8 = 0, -3*u = 2*l - 22. Suppose 0 = x - 1, 4*y = -3*x + l + 15. Solve 20 = y*f - 0*f, -4*z = f + 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 2, 51 in descending order.\nAnswer: 51, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a gram in milligrams?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -1, 6, -12058\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6020 + -6019.6. Put k, -0.5, -55, -7 in descending order.\nAnswer: k, -0.5, -7, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/(-6))\/(2\/(-3)). Let d(u) = -u**2 + 6*u - 1. Let n be d(j). Solve n*z = -z + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 283 = 26*s - 27*s, 2*s - 573 = 3*v. Is s a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/9? (a) -5 (b) -4\/3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018 take away -0.1?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38, -29, -20, -11, -2, 7?\n\"Answer: 9*f - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r - 3. Let x(w) = 828*w + 19. Determine 6*a(c) + x(c).\nAnswer: 858*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 242 = 6*o. Let d = -68 + o. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 39 - 7 + 7*p + 63 - 3*p as q*p + b and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65164?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2204802?\nAnswer: 2, 3, 122489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 2*k + 48066 - 48066.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**3\/3 + 2*m. Let h(d) = 2*d. Let b = 3 + 0. Give b*w(l) + 4*h(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -7. Let c be 4\/(-6)*21\/(-2). Suppose -f = 4, 3*q = c*q - 5*f - 20. What is the nearest to q in -2\/5, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: a12938 (base 14) to base 15\nAnswer: 722173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519392 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16371828 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -440646 and -440505 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 6*p**2 + 3*p**2)*(-p**3 + 2*p**3 + p**3) - 3*p**5 - p**5 + 2*p**5 - 2908 + 2908 - 451*p**5 + (4*p**2 - 6*p**2 + 6*p**2)*(-3*p**3 + 6*p - 6*p).\nAnswer: -469*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/770146091 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1067, 0, 0.3, 2, 10, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (0 - -3) - 1 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -293 or -294?\nAnswer: -293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -10 + 6*m - 14 + 5 + 2*m. Let w be g(0). Suppose -81 = 3*t - 21. Is t < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 + 64. Solve -5*z = t, -14 = -3*f + z + 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a + 4*i = 122, 3*i + 115 = 2*a. Suppose -2*h + a = 2*s + 3*h, -51 = -3*s + 5*h. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/791173 and 47\/6.\nAnswer: 4747038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 12 = -7*i. Let g be 285\/6*(-16)\/10. Let k be 12\/(-54) + g\/(-18). Put i, 3, k in ascending order.\nAnswer: i, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/27806714 and 10.\nAnswer: 27806714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + 0 + -23 + 1 + -26 + 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p - x = 24*p - 1, -p + 2*x + 4 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -144, 13, -12.\nAnswer: -144, -12, -4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 4\/3, -16, 0.3, 2\/7, 27\/10?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - x - 2 = -d, -d - 3*x + 2 = 0. Sort d, 0, -6.\nAnswer: -6, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 2 - t**3 + 3\/2*t**2 + 0*t + 1\/4*t**4. What are the prime factors of k(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*t + 21. Suppose -n = -b - t, -b - 4 = -5*b - 4*n. Let y = 5 + b. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -20, -32?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40005296 rounded to 2 decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8003174839?\nAnswer: 11, 727561349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -74*z**3 - 2*z**2 + 1. Calculate the remainder when j(-1) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 11, -32, 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386471 is divided by 242?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6976.293cm to meters.\nAnswer: 69.76293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3 + 2)*1)\/1. Let q(a) = -10*a + 1. What are the prime factors of q(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67.4 - 56. Let m = 0.4 - a. Let g = m + 10.9. What is the closest to -1\/4 in -0.3, 2\/13, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*u**2 + 72*u**2 - 133*u**2 + 2*u**3 - 4*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 1*88\/(-11))*(2106\/(-45))\/13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -787c + 1?\nAnswer: -787b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-3) + (3 - (-16)\/8). Solve 12*n - b - 30 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y. Let h(f) be the second derivative of 1\/6*f**3 + 0 + 0*f**2 + 2*f. What is v(h(u))?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 8*a - 104. Let i(s) = 2*s**2 + 15*s + 181. Let k(w) = 6*i(w) + 11*t(w). What is k(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 6. Let h be b - 3 - (8 - 9). What is the smallest common multiple of 22 and h\/(20\/22 - 1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**3 - b**2 + 13*b + 2. Let s(w) = -7*w**3 - 2*w**2 + 27*w + 4. Give 13*f(k) - 6*s(k).\nAnswer: 3*k**3 - k**2 + 7*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.221983mg to kilograms.\nAnswer: 0.000000221983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - m - 12 = 0, -2*g = -m + 3*m. Let c be 8*g*(-3)\/(-2). What is the greatest common divisor of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 4*i - 70. What is d(0)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*(-14)\/(-28)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-70)\/(-3))*-5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (-2 - -55) - (-5 - -3). Is d at most 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = j + 22, 2*q - 3*q - 2*j = -16. Suppose -5*y = -3*w - 386, 0*y + 4*y = 2*w + 308. What is the units digit of 2\/(-6) + y\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**5 + 65474*l**4 - 35*l**2 + 328702*l - 313.\nAnswer: 60*l**3 + 785688*l**2 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 891\/(-162)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 n when three letters picked without replacement from ehehnenbwnn?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8995 - -0.5995. Put 453, 0, 3\/5, h in descending order.\nAnswer: 453, 3\/5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 3:19 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -195 - 17?\nAnswer: -1b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 6*s**2 + 4*s - 2. Let c(g) = g**2 - 1. Let i(t) = 3*c(t) - f(t). Give i(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, r: 3}. Give prob of sequence roo.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - q - 22. Let o(m) = -m**2 - m - 15. What is 8*o(z) - 5*v(z)?\nAnswer: -3*z**2 - 3*z - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.28, 41, -4?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -26. Let y(o) = o**2 - 5*o + 6. Determine y(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -2405\nAnswer: -12025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/5 - 18696*z\/5 + 39484863\/5 = 0. Calculate z.\nAnswer: 2427, 16269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2155, 3950, 5731, 7492, 9227?\n\"Answer: -j**3 - j**2 + 1805*j + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1\/5689, -4947?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*a - 322, -m - 2*a + 85 = 2*a. What is the greatest common divisor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*z - 2*j - 44, 2*z - j = 31. Let d = 21 - z. Which is the second smallest value? (a) d (b) -0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38725178 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -47*x - 79. Let z be q(-5). What is the highest common divisor of z and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 5. Let z be i(-5). Suppose -5*p = 3*y - 350, z = 4*p + p - 5*y - 390. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n + 6. Let u be b(3). Suppose 0 = -4*k + 4, u*p - 19 = -p - 3*k. Let q = 19 - p. Solve -q*f - 4*r = -5*r - 13, -4*f + 4*r = -20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, n: 2, h: 1, f: 1, e: 2}. What is prob of sequence frer?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 8)*(2 - 3 + 2)*(-11 + 2*m + 11) to the form b*m + q and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-29)*z\/z**(-21)*z)\/((z\/((z**(1\/20)\/z)\/z))\/((z*z**(2\/15))\/z)) assuming z is positive.\nAnswer: z**(-529\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 16*b**2 - 23*b**2 + 8*b**2. Let z(x) = x. What is z(j(p))?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -37, -48, -61, -76, -93?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 - -0.06. Let y(i) = i**3 - i**2 - 4*i + 3. Let b be y(2). Let s be (b\/3)\/(1 + 0). What is the nearest to -0.2 in s, 3, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(2\/9)*q))\/(q**(-2\/5)\/q*q)*q**(1\/8)\/(q*q**3\/q) assuming q is positive.\nAnswer: q**(-971\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-192 + 440*p + 192)*(-5 + 5 + 2*p**3) + 0*p**2 - 4*p**4 + 3*p**4 - p**2.\nAnswer: 879*p**4 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/4)\/((f\/(f\/f**1*f))\/f)*f**(-6\/7)\/f**0*(f\/f**(-1\/4))**(1\/51)*(f**(-1\/4)\/f)**(-1\/29) assuming f is positive.\nAnswer: f**(-22343\/41412)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 - 4*n**2 - 2*n + 2. Calculate i(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*w + 29*w + 4. Suppose -5*s - 80 = -w*p, -2*p - 3*p - s = -100. What is the remainder when p is divided by (-1)\/(1 + 16\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3847.6 + 3848. What is the smallest value in 0.3, g, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3612555?\nAnswer: 3, 5, 80279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353871096.\nAnswer: 2, 3, 14744629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 7. Suppose 3*k - 15 = -0*k. Let o be u(k). Suppose o*i + 6 = -6. Let w(g) = -g - 12. What is w(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 minus -9?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 753072*t - 47259786432.\nAnswer: -3*(t + 125512)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39462967.\nAnswer: 17, 1489, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 272598?\nAnswer: 5\/272598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 17\/(-51) + (-182062)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124611 + 67*l**2 + 2*l + 124610 + 4*l to the form j*l**2 + n*l + w and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-99)\/(-6)) + 12\/66. Suppose 4*w = 2*o + 9712, -5*o = w - c*o - 2406. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i, -6*y = -10*y + i + 8. Let a(p) = -p**2 - 8*p - 8. Let t be a(-6). Suppose t*l - 750 = -y*l. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/((-36)\/5775))\/(5\/40000). What is p rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*u - 130*u + 84*u - 3936 = -70*u for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**2 + 537204*m - 24049011468 = 0. Calculate m.\nAnswer: 89534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r. What is the third biggest value in 7, r, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 395 and 695200?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Suppose -4*t = -5*p - 2, -7*p + 6*p = 4*t - 14. Suppose 4*g - 2*f = p*g, -g + 12 = 2*f. Solve c + g - 5 = i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-198)\/1053*((-504)\/(-132))\/(-7)?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -20*u**3 - 102*u + 341 - 341 + 106*u. Let t(m) = -m. Determine -o(l) - 4*t(l).\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**2*j - 2*h**2*q**2*y - 7*h**2*q - 3*h*j*q - 3*h*q + 2*h*y + 2*j*q**2*y + 5989*j*q**2 + 3*q*y wrt q?\nAnswer: -4*h**2*y + 4*j*y + 11978*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 386 divided by 92844.\nAnswer: 193\/46422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1\/2, -3\/5, -2, -3.\nAnswer: -3, -2, -3\/5, -2\/11, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56386 and 4427.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 - 3*u**2 - 4*u**2 - 6*u + u. Let q(s) = s**3 + 7*s**2 - 9*s - 11. Let i be q(-8). Let c(k) = k. What is i*c(m) - p(m)?\nAnswer: 4*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 225146.41693\nAnswer: -225144.41693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13754108 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 0.1289 times 4?\nAnswer: 0.5156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 3*b = -2*j - 19, b - 262*j = -259*j + 18 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172613?\nAnswer: 7, 24659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/48*(0 - -5). What is the closest to -155 in -4, p, 5, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**3 - 2*l**2 + l + 20. Let d(v) = -4*v**3 + 3*v**2 - v - 19. Let f(o) = -2*d(o) - 3*t(o). Differentiate f(a) wrt a.\nAnswer: -12*a**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*m + 32 = 0, 4*m = g - 2*g + 19. Suppose -8 - 4 = 3*k, 0 = 4*d + g*k + 120. Calculate the common denominator of 91\/6 and -2 + 2 - 102\/d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1369890 and 666?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 0*z - z + (3*z - 3 + 3)*(6 - 3 + 5) + (-2 - 1 + 5)*(15 + 27 - 23)*(0*z + z - 2*z).\nAnswer: -17*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 - (58 + -42) - 73 - (1 + 30)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1834 - 11135\/6. Let t = -1182\/25 - -27343\/600. What is the common denominator of t and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.13 - -0.03. Let j be 2\/(-20)*4 + 1. Which is the closest to l? (a) 5 (b) 1\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*s**2 + 280*s**2 - 185*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Let d be (4\/(-7))\/(30\/(-105)). Suppose -d*y + 18 + 10 = v. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 20*o + 5. Let m(w) = -22*w - 4. Let k = 96 - 100. Let r(t) = k*p(t) - 5*m(t). Let d(c) = 3*c**2. Determine d(r(n)).\nAnswer: 2700*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**0)\/j)**(-29)*j*j**(-2\/7)\/j*(j*j\/((j**5\/j)\/j)*j)\/j assuming j is positive.\nAnswer: j**(-212\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + z - 937 = 0, 489 = 2*t + 2*z + 19. Is 39 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -55. Sort -0.1, 3\/4, h in ascending order.\nAnswer: h, -0.1, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-3)\/18*-1). Let d be (-1634)\/(-12) + (-2)\/x. Suppose -289 = -3*z - d. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a, -12 = 4*x - 3*a - 96. Suppose x = 3*q + 3*k, 3*k + 60 - 17 = 5*q. What is the remainder when 31 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*r = -2*r - 32, 4*r = 5*g - 1. Let y be g + -1 + -2 + -9. Let f = 17 + y. Solve 2*c = -f*c + 5*w + 14, 5*w = -3*c - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 63 + 125 - 14*u**2.\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - ((4 - 11) + -2)) + -18 + 44 + 5.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24058486499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i**2 - 8*i + 2. Let j(p) = p - 1. Suppose -10*s + 15*s + 10 = 0. Let l(a) = s*j(a) - q(a). Find the second derivative of l(o) wrt o.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9546.2573 to the nearest one hundred.\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**5 + x**3 - x**3 + (0*x**4 + 97128*x**5 + 0*x**4 - 96215*x**5)*(2 + 0 - 1).\nAnswer: 910*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyygymknmgggkkl. What is prob of sequence ygn?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*n + 16583. Let g = n - -1571. Let a = g + 1327. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, j: 1, b: 1, r: 8, z: 6}. Give prob of sequence zrbz.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 2*g**2 - 3*g)*((-2683 + 1279 + 48 + (-2 - 2 + 3)*(0 + 3 - 1))*(-4*g + 5*g - 3*g) + (4 - 3*g - 4)*(0 + 4 - 2)).\nAnswer: -5420*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1229723 centuries in months?\nAnswer: 147.56676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/14*(-42)\/(-24)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6288, -4, -0.3, -8\/25, 2\/23 in ascending order.\nAnswer: -6288, -4, -8\/25, -0.3, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30173*n**3 + 99*n + 14 wrt n.\nAnswer: 181038*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 28073344.7 and 0.815.\nAnswer: 28073345.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14829428 divided by 1\nAnswer: 14829428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*j - 3261, 12*j + 3255 = k + 8*j. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(24)\/(sqrt(24)\/sqrt(2)) + sqrt(18)*1 + sqrt(16)\/(-3*sqrt(72)).\nAnswer: 35*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (-13 - (-8)\/2). Let j(b) = -b**3 - 13*b**2 + 2. Let v be j(p). Solve -v*a + q - 9 = -2, -4*a + 3*q = 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from ggzgzg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16660)\/510 + 24)\/((-4)\/(-18)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*h + 4 = -1, 0 = -2*b + 2*h + 6. Solve -3*n - b = -10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 0. Let p(c) = -c + 4. Let z(a) = -a + 3. Let l(m) = 4*p(m) - 5*z(m). Calculate l(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 4:35 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -4\/17 in increasing order.\nAnswer: -2, -4\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 12. Let z be i(14). Does 0 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-1\/4))**(-25))**(-1\/4))**(-32))**49 assuming y is positive.\nAnswer: y**2450","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l + 11. Let b be s(2). Let f(t) = 16*t**2. Let z(w) = -w**2. What is b*f(u) - 4*z(u)?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -657 (base 12) to base 4\nAnswer: -32203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-14) + -134*(-12)\/56. Suppose -4 + 21 = -m - 5*o, 3*m = 5*o + w. Let a(k) = -k**3 - 6*k**2 - 4*k + 7. Let c be a(-5). Are m and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 i when three letters picked without replacement from {m: 6, k: 1, s: 1, u: 1, i: 3}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134 divided by -5.\nAnswer: 134\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -278, 4, -21.\nAnswer: -278, -21, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 165 or 659\/4?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.2067 + 0.0367. Let v = -3.3 - o. Let g = 0.27 + v. Round g to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4 - 8581648*q**3\/3 - 41001610*q**2 - 34326992*q\/3 + 26698728 = 0. What is q?\nAnswer: -14, -1, 2\/3, 1430289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/201 and 44\/5787.\nAnswer: 387729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -1316 - 1138. Let l be (-9863)\/(-16)*(-13 - -15). Let x = r - l. Find the common denominator of x and -15\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p**3 - 5*p**2 - 6*p + 5. Let y(c) = 8*c**3 + 2*c**2 + 6 - 4*c**2 - 2*c**2 - 7*c - 2*c**2. Determine -6*l(b) + 5*y(b).\nAnswer: -2*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -3\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 694 divided by 2?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -69, -134, -237, -396, -629, -954?\n\"Answer: -3*h**3 - h**2 - 41*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-8))\/((-2)\/4 + 1). Suppose j*r = -2*r + 120. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2793040 and 985.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen quarters of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2114088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 6*x**2 + 3*x + 31. Let d be i(7). Suppose -d*u + 775 = -2*p - 458, 2*p + 415 = u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1253*b**2 + 6*b - 4*b - 1068*b**2 in the form n + l*b + w*b**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 r, and 1 m when three letters picked without replacement from {w: 1, a: 2, m: 1, r: 4, j: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -41*x + 53*x - 12*x + 3*x**2. Let r(b) be the first derivative of -2*b**3\/3 + 2. Give r(w(i)).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*i - 13 = 0. Let b = i + -11. Factor -b - 3*j**3 - 2 - 15*j + 3*j**2 - 2 - 15*j**2.\nAnswer: -3*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5410, 8321, 11232, 14143, 17054?\n\"Answer: 2911*m + 2499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6408605 - 3.74\nAnswer: -6408608.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-21)*-6*(-1)\/12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -831, -2001, -3637, -5739, -8307?\nAnswer: -11341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3637, -14, 4 in descending order.\nAnswer: 4, -14, -3637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 4\/5, -2\/17, -2\/23?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297967?\nAnswer: 297967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136 + 61. Let v = -50 - n. Is 25 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/20)\/((-11)\/55)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/393 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -10416.293366?\nAnswer: 10416.293366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/2*(6 - 8). Suppose -5*j - 218 = -3*o, -3*o - p*o + 2*j + 376 = 0. Calculate the highest common divisor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 5. Suppose 5*p = 8 - 38. Let n be u(p). Sort n, 3, 2 in increasing order.\nAnswer: n, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3\/8 (b) 1101 (c) -0.142 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 151*g**2 - 184*g - 102449 wrt g.\nAnswer: 302*g - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from {p: 2, e: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.88 - -13. Let m = 0.38 + f. Which is the biggest value? (a) m (b) 8 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116439 divided by -1466?\nAnswer: 116439\/1466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t - 4. Let a(j) = 26*j + 28*j - 55*j. What is a(p(g))?\nAnswer: 4*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(0 - 1)*1 + 23. Let j = 17 - b. Let i(z) = 20*z + 5. Let g(d) = -7*d - 2. Calculate j*i(h) - 17*g(h).\nAnswer: -h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-50)\/20)\/((-1)\/2). Suppose -4*d - 54 + 358 = 0. Let h = 78 - d. Solve -p*r = 4*k + 20, -h*k - 5*r = -0*r + 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1829657 and 417?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 2407595*n + 14445390.\nAnswer: 5*(n + 6)*(n + 481513)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11636117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - c - 3*c - 28, c + 3 = 0. Suppose n = -0*n + r. Is n\/14 - (-1420)\/28 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003763 rounded to six dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*1 + 3\/(-3). Suppose 7*b - o*b - 155 = 0. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 8 = 6*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -441 + 1411?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gng when three letters picked without replacement from ggggggggggggngg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4195956 centuries?\nAnswer: 503.51472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31591993?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -3, 100\/651, -5\/3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*b - 15. Put -4, -1, b in descending order.\nAnswer: -1, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/36)\/((-940)\/(-18800)).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75264 - 448*o - 2\/3*o**2.\nAnswer: -2*(o + 336)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d. Let g(i) be the second derivative of -581*i**4\/12 + 4*i - 42. What is g(r(u))?\nAnswer: -2324*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 - 88.4. Let u = h + 6.6. Let z = 8.8 + u. Which is bigger: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from pgqqpqp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -p - 15, -5*t - p = -3 - 9. Sort -7, 0, t in descending order.\nAnswer: t, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 16*z**2 + 8*z**2 to s*z**2 + h + x*z and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-11)\/m*m**32)\/((((m\/(m\/m**(1\/11)*m))\/m*m*m)\/m)\/m**(-22)) assuming m is positive.\nAnswer: m**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - -40. List the prime factors of u.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1765707 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19, -619, -1605, -2965, -4687, -6759, -9169?\n\"Answer: 2*d**3 - 205*d**2 + d + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*v + 16 = 0, -11*v + 8*v + 18 = 4*x. Calculate the highest common divisor of 486 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l - 150 + 168 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 71*h - 616. Calculate y(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -592781616?\nAnswer: 592781621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1308 - -1306. What is the closest to 2\/11 in -4, -0.2, q, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 + 68 + (-91 - 48).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 9*a**2 + 8*a - 4. Let y be ((-8)\/(-6))\/(3\/18). Let g be n(y). Let b = g - -7. Solve -b*i = 4*s - 16, -3*s + 12 = -0*s - i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**2 - 5*s - 1. Does 13 divide h(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a kilogram in grams?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 301 (b) 12 (c) -4 (d) 3806\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3227*j**3 - 6*j**2 - 4 - 3298*j**3 + j**2 as l + n*j + t*j**3 + v*j**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 44 = -82. Let f(v) = 23*v**2 - 19*v + 56. Is 35 a factor of f(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.860717415 + -9.571.\nAnswer: -6.710282585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -84?\nAnswer: -7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 64 - ((-13296 - -13306) + (-2 - (-2 - -1)))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 326 - 357.8. Let w = j - -32.8. Which is the closest to w? (a) -0.4 (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 116969 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10012021233 (base 4) to base 3\nAnswer: -2000112221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-1))**44\/(w**(1\/2)*w)**(-20) assuming w is positive.\nAnswer: w**162","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26084, 26073, 26062, 26051, 26040?\nAnswer: 26029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**9\/24192 + u**8\/20160 + u**5\/20 + 2*u**2. Let x(g) be the third derivative of h(g). Let x(m) = 0. What is m?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 628868893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -t + 5*b, -2*t - 5*b - 7 = 2. Solve 3*o + t = 6*o + 4*y, -5*y + 10 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5911710 divided by 56302\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7623)\/(-1904) + (-8)\/2. Is v equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.343, 4191, -3?\nAnswer: 4191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 - 15*o**2 - 14*o + 29. Let t be r(-6). What is the biggest value in t, 10, -3\/7, -3\/2, -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26.464*0.1\nAnswer: -2.6464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 2\/13 (b) 1\/6 (c) 86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*w - 3*w - 6 = 0, 0 = 3*v - 3*w - 12. What is the third derivative of z**3 + 0*z**3 + 3 - 3 + 4*z**v wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-25206)\/4)\/(-1) + 38\/76?\nAnswer: 2, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 552 - 352. What is the remainder when w is divided by 105?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 760*y**3 - 1733?\nAnswer: 2280*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 12, 6 in decreasing order.\nAnswer: 12, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**3 + 7*y**2 - 5*y + 9. Let h(j) = -10*j**3 - 10*j**2 + 7*j - 13. What is 5*h(q) + 7*v(q)?\nAnswer: -q**3 - q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(6\/5)*y**4*y**(1\/5)\/y*y*y**(-1\/2)\/y)**(-14) assuming y is positive.\nAnswer: y**(-273\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 6*p - 16, -46*h = 55951*p - 55946*p - 82 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3342008783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 135. Suppose w*u = 102*u + 24294. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 2 + 1 + a - a - a. Let p be w(1). Let c be p - (-180)\/35 - 0. Is c at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 11. What is the highest common factor of 240 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*f + 6*f - f)*(0*f + 0*f - f)*((-3 + 1 + 4)*(2 + 4 - 4) - 1 + 8 - 6) + (4*f + 2*f**2 - 4*f)*(-4 - 1 + 3).\nAnswer: -84*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -32, 3, -4, 7, -44 in descending order.\nAnswer: 7, 3, -1, -4, -32, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.46, 1, 3\/5, 0.4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -3*b**5\/10 - 15*b**4\/4 - 25*b**3\/2 - 66. Factor g(s).\nAnswer: -3*s**2*(s + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 751 = -2514. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -101011101?\nAnswer: 101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 323 and 1479697?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202.7667 rounded to zero dps?\nAnswer: -1203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13, 166 in descending order.\nAnswer: 166, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lele when four letters picked without replacement from llellelllllelll?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 8. Suppose -6*p = -z*p - 1. Suppose -p - 11 = -6*x. Solve 8*c + x*n - 23 = 3*c, 8 = c - 3*n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 1331.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*o)*(o - 4*o + 2*o) + (5*o - o - 2*o)*(1 - 4 - 1)*(o - 3*o + 4*o + (6*o - o - 4*o)*(-3 + 4 + 4)).\nAnswer: -54*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2361431 rounded to two dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9*u**2 - 91*u - 32. Let t(r) = -7*r**2 - 91*r - 27. Calculate 5*s(d) - 6*t(d).\nAnswer: -3*d**2 + 91*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72074\/15 - 24023\/5. Factor 11\/3*t + 0 + u*t**2.\nAnswer: t*(t + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 410668135 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13611722 and 6487?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2823622.\nAnswer: 1\/2823622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 69\/2210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 101*x. Let o(s) = 109*s**2 + 112*s**2 - 224*s**2. Give o(j(t)).\nAnswer: -30603*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 20. Suppose 9*s = 4*s + 30. Calculate the lowest common multiple of f and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 8*q**2. Let d be 6\/9 + (-14)\/6 + 2. Let i(n) be the second derivative of 0 - d*n**3 + 0*n**2 - 2*n. What is i(u(k))?\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccbbcb. What is prob of sequence ccb?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11*s. Let y(n) be the third derivative of -n**4\/4 - 3*n**2 + 6*n. Give f(y(b)).\nAnswer: -66*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 54\/5 of a century?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/2)*((s*s*s**6*s)\/s)\/s*s*s**6\/s**6)**(-32) assuming s is positive.\nAnswer: s**(-208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 13. Suppose -5*c - 9 + 4 = 5*m, c + x*m + 13 = 0. Find the third derivative of 6*l**2 + 0*l**2 - c*l**5 - l**2 wrt l.\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 at most as big as 2\/19653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3921263 - 2557*d**2 - 1568*d**2 + 16*d + 3921204 wrt d?\nAnswer: -8250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 7. Let s be h(11). Suppose 2*i - 3*y - 21 = i, -20 = s*y. Suppose -3*u - 3*a = -i*a - 9, 4*a = u. Solve -7 - 1 = -u*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*x - 216*x**2 - 161*x - 318*x**2 + 532*x**2 + 34*x.\nAnswer: -2*x**2 - 441*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 - 2*f**3 - 5*f**3 + (-f**2 + 2*f**2 - 2*f**2)*(0*f + f - 8*f) - 2*f**3 + 2*f**3 + 2*f**3 - 1 + 1 + 2*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3)*z)\/z)\/z**(-5))\/((z\/z**(2\/5))\/(z\/z**(-2))) assuming z is positive.\nAnswer: z**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8887451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (545 - 1068 + 553)*(2 + 1 - 7)*(4 - 4 + 3*q) in the form s*q + a and give s.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1740 and 9060?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - i - 655 = 0, k - 6*k = -4*i - 1080. Suppose -4*r = -5*d - k, 4*d - 2*d = 0. What is the greatest common divisor of 33 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/5, -4\/7, 5, -0.048, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.091 + 6.991. Let f = -0.29 - 0.11. What is the closest to -1 in -1.5, t, -1\/8, f?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 585 and 5.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*l - 0. Find the third derivative of 5*d**2 + 3*d**4 - d**4 - 4*d**l wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q + 1. Let z be g(3). Let i be 4 - -2*144\/z. Let d = i - -10. Which is smaller: 0.01 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3606 + 5006. List the prime factors of n.\nAnswer: 2, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.6 - 0.6. Suppose 3*w - 10 = -m, 4*m + 5 = 2*w - 25. Let r be 8\/(-5) + (-4)\/(-2). Which is the nearest to r? (a) q (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -910*y - 13809. Determine c(-16).\nAnswer: 751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 21*b**4 - b**3 - 2. Let w = 24 - 22. Let s(t) be the third derivative of t**5\/60 - t**3\/6 + t**2. Let i(o) = w*q(o) - 4*s(o). What is n in i(n) = 0?\nAnswer: -2\/7, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (175\/(-90))\/(-5)*(-4)\/(-7).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 157 + -136. Let r = a + -18.4. What is r rounded to 1 dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15821, -15829, -15845, -15875, -15925?\nAnswer: -16001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 12) in base 4?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffxnxxnnnnxnnxbxx. What is prob of picking 1 f and 1 n?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*n + n - 199457625 = 0, -n = 4*v - 797830519. Let l = v + -821765428921\/4120. Let f = l + 2\/515. Find the common denominator of f and 85\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*r + 15 + 4 = 0, 5*f - 155 = -5*r. Calculate the remainder when (1*82)\/(1 - 0) is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87 - (-3 + (5 - (1 + 11 + 0 + -2)))\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 6 + (1 + 26 - (7 + 18 - 27))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 203 and 1589?\nAnswer: 46081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z - 740009 - 194191. What is z rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3388387 divided by -6\nAnswer: -3388387\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + p**2 + 2*p**2)*(3 - 5 + 3 + 2 - 4 + 9 - 1 + 3 - 3 + (1 + 1 + 0)*(-1 - 2 + 4)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/11, -1.13, 1\/8, -1\/7?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -2 - -17) + (7 - (10 - 0))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/9)*f**(1\/5)*f**(2\/3)*f*f**6*f)**37 assuming f is positive.\nAnswer: f**(14948\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 20, 25 = -5*c - 0*d - 2*d. What is the nearest to c in -0.2, 2, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 168 = 2*w, -3*w - q - 5 = -235. Let n(m) = 2*m**2 - 2*m + 3. Calculate the remainder when w is divided by n(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -150*b - 11. Let j be d(6). Let g = j + 1279. Let o = -3317\/9 + g. Is o less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pprpprrp. Give prob of picking 4 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -199400 rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 14*z**2 - 3*z - 17. Does 38 divide a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-14)\/7*1\/((-2)\/6856)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((1 - 1)\/4)\/(-2). Suppose x = -5*c - 4*o + 33, -2*c + 12 = -o + 2*o. Suppose 4*r - c*r + 16 = 0. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p + 6. Let f(j) be the second derivative of -110*j**3\/3 + 121*j**2\/2 + 65*j. Give -6*f(t) + 121*k(t).\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -257*y - 188. Let d(u) = -2*u + 2. Let l(x) = 5*d(x) + z(x). What is the first derivative of l(s) wrt s?\nAnswer: -267","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 18 = 2*u, -2*a + 11 = 2*a + 5*u. What is the common denominator of 50\/21 and a\/2 - 9\/(-15)*1?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 12 + -60 + (1 - 2 - 0) + 12.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1617 + 2033. Calculate the smallest common multiple of 64 and c.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -24, 21, 98, 213, 372?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70171 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 + -54. Suppose 3*k + r - 73 = 0, -3*k - 133 = -u*k + 4*r. Calculate the remainder when k is divided by (14\/8)\/((-2)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 4*c**2 - 4*c + 17. What is the units digit of l(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-6 - (-6 + 15 + -34))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 4:15 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/1801 or -1?\nAnswer: -7\/1801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1608 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/6 and ((-124)\/24)\/(6\/4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((72\/20)\/3)\/((-4)\/(-20)). Let o(h) = -h**3 + 6*h**2 - 2*h + 3. Calculate o(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1392645, 1392641, 1392637, 1392633?\nAnswer: 1392629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m**2. Let t(o) = -3*o + 4*o - 2*o - 2*o. Give t(f(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82 and 4686072.\nAnswer: 192128952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 931002 and 5.\nAnswer: 4655010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l - 48 + 2*l + 47 to b + c*l and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-249 - 171 - 17 - 9)*(-1 + 1 - 2*o) as l + u*o and give u.\nAnswer: 892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 503\nAnswer: -7\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.75 - -92470325\nAnswer: 92470325.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3759 and 17541.\nAnswer: 21978873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3750 or -1?\nAnswer: -3750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**5\/60 + 3*k**4\/8 - 4*k**3\/3 - 6*k**2 - 2. Let v be z(8). Solve 2 = 5*f + c - 3, f + 2*c - 1 = v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1357157 and 1357157 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 2. Let c = -671\/618 + 284\/309. What is the second biggest value in -5, j, c, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mccvv. What is prob of sequence vcm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5) + -4 + sqrt(11))*-1 - (sqrt(88)\/sqrt(2) + -5 - sqrt(44)).\nAnswer: -2*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4\/(120\/558) + (-3)\/5 and 33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - g**2 - 1. Let m(b) = -6*b**3 - 5*b**2 + 10*b - 5. Calculate -5*d(n) + m(n).\nAnswer: -n**3 + 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - 0.1. Let t = g + 0.8. Let b = -0.2 - t. Sort -5, b, -2\/11 in descending order.\nAnswer: -2\/11, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rpmggrlmlrnr. Give prob of picking 1 g, 1 p, 1 r, and 1 n.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2215 is divided by 441.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 10 = 2*u - 4*d, 5*u - 4*d - 45 = 0. Solve -u*y + 2 = 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 0 + 7\/10*a**5 + 0*a**3 + 0*a**4 - 132*a**2 + 57\/40*a**6 + 0*a. Find the third derivative of c(h) wrt h.\nAnswer: 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 130*m + 2068. Let t be v(-16). Let q(w) = -w**2 - 6*w + 53. What is q(t)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4481491, 0.5, 0.3, 4\/3 in descending order.\nAnswer: 4481491, 4\/3, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3981 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 203427.\nAnswer: 2\/203427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/4)\/(((-6)\/52)\/(-1)). Suppose 4*r + j = l + 2*l, 5*l - 3*r = 18. Suppose -u + v - l*v = -20, 4*u = 2*v + 130. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 123427\/42 + -21018\/7. Which is the nearest to -0.1? (a) 1\/8 (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1972 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 181 or 180?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.9 + -0.6. Round f to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q + 1860 = 24*q. Is 93 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 670.1664 to the nearest ten.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 532748?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -10. Let m = -4.9 + k. Let q = 15 - 11. Which is greater: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 237\/4, 0.5338, -5?\nAnswer: 0.5338","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 172742 times -20.3\nAnswer: -3506662.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14540, -14844, -15148, -15452?\n\"Answer: -304*s - 14236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*z = 5, 3*z - 22 = -5*y + 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - l - 75 = 0. Let t be 1\/(1\/(l + 2)). Let r(x) = x**2 - x + 153. Let d be r(0). What is the greatest common divisor of t and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/6 - 327*v**2\/2 + 43139*v\/6 - 40205\/2.\nAnswer: (v - 935)*(v - 43)*(v - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-675758)\/(-290) + (-9)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 6. Let p = n - -8. Suppose 0 = t - 5, 4*t + t = p*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/4)\/(v\/(v*v\/(v\/(v\/(v**(-4\/3)*v*v)))))*(v**(-2)\/v)**(-1\/33)*(v**(2\/5))**(-4\/43)\/(v**(-2)\/v*v)**23 assuming v is positive.\nAnswer: v**(1309369\/28380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 464, 463, 462, 461, 460?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*f = -10*f + 378*f + 18090 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -19*b**8\/24 + 47*b**5\/12 - 19*b**2 - 7. What is the third derivative of r(v) wrt v?\nAnswer: -15960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126062, 126060, 126056, 126050, 126042, 126032?\nAnswer: 126020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 16. Let m = 33 - 29. Suppose m*f = -2 + 54. Let l(p) = f - 7 - 6 + 2*p**2. What is q(l(c))?\nAnswer: 2*c**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -420534 by 4.\nAnswer: -210267\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*3021\/(-2850) - 1*-9?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Let h(n) = -n**3 + 4*n**2 + 7*n - 3. Let o be h(5). Let j = l + o. Calculate the remainder when 12 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 7222\nAnswer: 4\/3611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/506655246 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -880679.601 and 13194?\nAnswer: 893873.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 25*y - 3*d + 11, -3*y - 996*d + 992*d + 11 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17419761459\/140 + 124426159. Let l = m - -4947\/7. Calculate the common denominator of l and 83\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6*15\/9*18\/60\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49726929*a + 106964773?\nAnswer: -49726929","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4006655 is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032 (base 7) in base 5?\nAnswer: 10314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019745671 rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -l - 2, 15 = -4*l + l + 3*k. Let f = l - -16. What is the lowest common multiple of 20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 462223 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/(-10) + 778\/(-740) - -2 and -45\/16.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**4*q**3 + 62*h*q**3 - 468*q**3 wrt h.\nAnswer: -4*h**3*q**3 + 62*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**4\/4 + q**2\/2 + 9*q + 21. Let a be n(0). Suppose -a*m + 90 = -4*m. What is the greatest common factor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 109066966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67*n**5 + 15*n**4 + 10*n**3 + n**2 - 139653?\nAnswer: 4020*n**2 + 360*n + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -490, -984, -1478, -1972, -2466, -2960?\n\"Answer: -494*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482*b**3 - 4*b**2 + 1168*b**3 + 4*b**2.\nAnswer: 1650*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*t**4 + 2*t**2 + 11859*t**3 - 11858*t**3 + 5*t - 5*t in the form i + w*t**3 + u*t**2 + h*t + c*t**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*z + y - 7, 0 = -4*z - 3*y + 14. Suppose -z*v = -0*l - 3*l + 243, v + 3 = 0. Suppose 2*n = n + l. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 - (-1212)\/9. Let y be (-2)\/5 - (-39)\/x. Let t = -20320 + 20319.8. Which is the third biggest value? (a) 2 (b) y (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16 - 0.06. Let x = f - 0.4. Sort 0, 2\/13, x.\nAnswer: x, 0, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a kilogram in grams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4911515 is divided by 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -26*m**5\/75 + 127*m**4\/30 + 2*m**3 - 612*m**2 + 3. Factor r(g).\nAnswer: -4*(g - 5)*(26*g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1158\/(-14) + (-4)\/14. Let u = 125482\/15 + -253409\/30. Which is smaller: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 5, -0.4, -1\/252?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*u - 3*u**3 + 25*u**4 + 4*u**3 - 24*u + u**3 - 3*u**3 to y*u**3 + c*u**4 + v + p*u + x*u**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -10*z**3 - 7*z**2 + 13*z - 1. Let m = -2249 - -2254. Let o(d) = 7*d**3 + 5*d**2 - 9*d + 1. Determine m*t(w) + 7*o(w).\nAnswer: -w**3 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 5 - (0 + -2)) + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*b*h**2 + 64*b*h - 300000588*b + 3*h**2 - 371*h wrt h.\nAnswer: -96*b*h + 64*b + 6*h - 371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27702 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*29\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5783756735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-2)*1*3\/(-3). Solve 7*t = 6*t - h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 191 = -5*g + 3*t, 0 = g + 5*t - 59. Let d = 209 - 75. What is the remainder when d is divided by g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3413 - -13405. What is the highest common divisor of 24 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.124 + 0.044. Let h = 0.08 + r. Do h and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19332502 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(304)*-1 + 1 + 0 + sqrt(304))**2 + ((3*sqrt(133))\/sqrt(7) - 1*sqrt(684)).\nAnswer: -11*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1216) + 1 + sqrt(1216))**2 + 5*(sqrt(1216) + 0)**2 + sqrt(1216))*1.\nAnswer: 104*sqrt(19) + 10953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 + -9)\/(0 + (-2)\/6). Let x(s) = -u - 1 + s**2 + 5*s - s - 2*s. Let w be x(1). Sort -2\/7, 0.1, w, 4 in decreasing order.\nAnswer: 4, 0.1, -2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*8\/(-640)*-2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 14*w - 23. Calculate t(8).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 23 - 31. Solve z - 4*y + 12 = 0, 2*y = 5*z + 10 - g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -13*m. Let p(g) = 13 - 4 - 9 - 24*g. Give p(c(d)).\nAnswer: 312*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 12 = -y. Let i = y + 20. Suppose -t - i = -2*t. Calculate the greatest common factor of t and 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.6 less than -7276571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-27)\/(-81))\/((-17)\/(-12) + -2). Which is the smallest value? (a) -4 (b) 1\/3 (c) w (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - (sqrt(12) + sqrt(12)*2 + sqrt(12) - sqrt(12)))*2)\/(sqrt(4) + sqrt(256)*2) + 6*(sqrt(432))**2 + (sqrt(1728) + sqrt(1728) + 0)**2.\nAnswer: -4*sqrt(3)\/17 + 9504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*o**3 - 5 - 6 - 13 - 3*o**2 + 87*o**3 - 149*o**3.\nAnswer: -159*o**3 - 3*o**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000649 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/15 - (-40)\/12. Find the second derivative of -31*t**4 + g*t**4 + 15*t**4 + 3*t - 2*t**2 + 12 + t wrt t.\nAnswer: -168*t**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2075.\nAnswer: 2074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 4107 = 9723. Is 46 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from llllekttlrrkelrekel?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**2 - 6*o**2 + 11*o**2 - 1033*o**3 - 12*o**2.\nAnswer: -1033*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.223946 minutes in weeks?\nAnswer: 0.0144071375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1990 = 5*o - 5*q, -6*o - 3*q = -o - 1974. Does 22 divide ((-4)\/6)\/((-2)\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 11:56 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b**3 + 2*b + 10. Let l(g) = -20*g**3 + 7*g + 31. Calculate -2*l(a) + 7*t(a).\nAnswer: -9*a**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-30)\/5211)\/(20475\/12285).\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -283*o - 1140 wrt o?\nAnswer: -283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3038 and 2.\nAnswer: 3038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulu when three letters picked without replacement from {l: 2, u: 6, x: 4}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/3, -0.16, -3, -2, 39\/20?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*r - 5*r + 6, -5 = -r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 - 3*q**4 + 2*q**4)*(364 + 149 - 1080) + 3*q**3 - 3*q**3 - q**4.\nAnswer: 1133*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 953 divided by -953.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-7 + 6) - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-23)\/2)*-2. Let i = r + 21. Suppose -3*m + 147 = -7*h + 2*h, i = -2*h - 6. Calculate the highest common divisor of 22 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 0*p**2 - 1\/35*p**7 - 1\/50*p**5 + 4\/75*p**6 + 0*p**3 + p + 0*p**4 + 0. Solve r(o) = 0 for o.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 8*s**2 - 21*s - 17. Calculate a(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3112, -6879, -11308, -16405, -22176, -28627?\nAnswer: -35764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 49. Let q(d) = -2*d**2 - 20*d - 1. Let b be q(-10). Let p = b - n. Solve -3*u + 6*u = p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnrr when four letters picked without replacement from {n: 3, r: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 + 12\/(-9). Let d = 1571 - 1554. What is the remainder when (-1)\/j - (-190)\/4 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4, -13, -40, -91, -172, -289, -448?\n\"Answer: -j**3 - 3*j**2 + 7*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114 + 117.18. Let h = k + -8.18. Let l = 5 + -7. Which is the closest to -2? (a) l (b) -2\/11 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i + 34. Let x be a(10). Let b(f) = f**3 - 6*f**2 + 3*f + 23. Let d be b(x). Solve 4*o = 4*j - d*j + 6, 0 = 2*o - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 897 at least 897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f + 5. Let g(v) be the third derivative of 7*v**4\/24 - v**3 - 13*v**2. Give -4*g(z) - 5*s(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.93 rounded to 0 decimal places?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*m + 9296 = -8*m + 24609 + 19367 for m.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2 = t, 3*t + 3*h - 18 - 6 = 0. Let b(q) be the first derivative of -q**4\/4 + 7*q**3\/3 + q**2 - 8*q + 2. List the prime factors of b(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/44 + 2 + -6 + 6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5231091059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52047145 is divided by 3061596.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419*t**3 + 923*t**3 - 446*t**3.\nAnswer: 58*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*j = -q - 1, -q - 4*j - 3 = 0. Let h = 9341\/2768 - -1\/2768. Find the common denominator of h and (-326)\/72 - q\/4.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 + 3725*f + 47599. Calculate w(-13).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)\/sqrt(175))\/(sqrt(360) + 2*sqrt(360) + sqrt(10) + sqrt(10)))**2.\nAnswer: 3\/10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 - 9 + 51)*(-4 + 9 - 9)*(-2*n + 4*n + 0*n).\nAnswer: -656*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -86, -119, -172, -251, -362, -511?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16765\/8646 - 387\/131. Find the common denominator of -41\/3 and k.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*v = g + 66, 5*g = 2*v + 294. Let y be (4\/8)\/((-2)\/g). Is -15 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j + 4*i = 8, -4*j + i + 15 = 0. Let y be 1\/(-33*(-8)\/(-276) - -1). Suppose j*s = y + 81. Is 26 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 241*f**3 - 6*f**2 - 4*f + 2. Let n be m(-1). Let o = -91 - n. Calculate the remainder when o is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-1) + -1)*2*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41375912639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/16*(-2 + -118) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32905 - 32902. Which is the biggest value? (a) 53 (b) h (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x)**(-47)\/(x**(-1\/8)\/x**(-2))*x**(1\/3)\/x**5*x\/(x*x**(-2\/17))*x**(-1)*x assuming x is positive.\nAnswer: x**(-21797\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**4\/12 + t**3 + 5*t**2\/2 + 117*t. Calculate q(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 24*x - 9. Is d(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2107 is divided by 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9839.88 years?\nAnswer: 9.83988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16008, -31987, -47964, -63939?\n\"Answer: d**2 - 15982*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.93 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (168\/1008)\/(((-1)\/(-12))\/(-1)). Sort 5, -1, 7, i in descending order.\nAnswer: 7, 5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, -2, 0.1, 3 in descending order.\nAnswer: 3, 0.1, -2\/27, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22 (b) 1\/95 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 968, 4161, 9484, 16937, 26520, 38233?\nAnswer: 52076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -70, -315, -768, -1465, -2442, -3735, -5380?\n\"Answer: -6*c**3 - 68*c**2 + c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219356.\nAnswer: 2, 29, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/14 + 14\/4 + -3. Let h = -10 + 10.1. What is the second smallest value in y, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -41669?\nAnswer: -41668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 + 1.3. Let m(h) = h. Let i be m(4). Suppose 0 = i*t + 4*d - 24, -5*d = -t - t - 9. Which is the second biggest value? (a) y (b) -0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -c - 5*p, -2*p = -79*c + 76*c - 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -27. Is 15 a factor of (d\/(-3) - 1)*(-3465)\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 divided by -5?\nAnswer: 148\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 93047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5887 - 6349 = -66*l + 62*l. Calculate the remainder when l is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -2 (c) -0.069\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1458 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/((-44)\/(-132)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -0.117?\nAnswer: -0.00468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5068.\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 18\/(-48) - (4 + 155553\/(-24))?\nAnswer: 3, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29533 and 57007128?\nAnswer: 4219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millennium in months?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-432)\/64)\/((-14)\/(2016\/54))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6499704215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 3*m**5\/10 + m**4\/4 - 2*m**3\/3 + m**2 + 2*m. Let q(l) = -8*l**2 - 49*l - 4. Let v be q(-6). List the prime factors of f(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from {b: 1, q: 1, y: 2, m: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 1 (c) 0.84 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51354 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -11)\/(3 + -1). Suppose -17 = -3*m + d*s + 88, 0 = -4*s - 12. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 1\/2*t**4 - 1 - 2*t**3 + 3*t**2 - 2*t. Factor m(j).\nAnswer: 2*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16220*s**2 + 8103*s**2 + 8102*s**2.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0296 (b) -0.2 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -12*p**3 + 6*p**2 + 6*p + 2. Let h(o) = -o**2 - o + 1. Let n(m) = 2*f(m) + 12*h(m). Find the first derivative of n(u) wrt u.\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 o when four letters picked without replacement from hoiouihuiuuuuhiuiii?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -173 - -176. Solve d - g*d = -2*q - 20, -5*d - 2*q = -15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7639 is divided by 694.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138320 is divided by 1487.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3558\/7 <= 507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1897, 3679, 5469, 7267?\nAnswer: 9073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15971752387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 2:37 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 690*v**3 + 239*v + 1 wrt v?\nAnswer: 4140*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*r + 12318 = 115*r. Is -1*r*(-10)\/12*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, u: 3, i: 1, t: 1, e: 2}. Give prob of sequence ri.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.4 * 16.\nAnswer: 86.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x*x**6*x)*x**(2\/19))**18 assuming x is positive.\nAnswer: x**(-1674\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1.04 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/8)\/3*-8. Let p be 2\/(-9) + 344\/(-72). Let k = p - c. Put -5, k, 4 in decreasing order.\nAnswer: 4, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42013601.3*0.5\nAnswer: 21006800.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 926225176?\nAnswer: 2, 311, 372277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 14*l**2 - 11*l - 13. What is the tens digit of y(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6360958 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000027466238 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.135 * -0.1112.\nAnswer: 0.015012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 6220731 to the nearest ten thousand.\nAnswer: 6220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -1905012927?\nAnswer: -1905012927.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 369577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -423\/7. Let d(b) = -17*b + 767. Let y be d(45). Put y, k, -0.4 in descending order.\nAnswer: y, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/562 and -47\/12.\nAnswer: 3372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 + t + 2. Let u(a) = -a**2 + a - 1. Let h(j) = -j**2 - j + 1. Let d be h(-2). Determine d*w(b) + u(b).\nAnswer: b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5725, 3664, 1585, -518, -2651, -4820, -7031, -9290?\nAnswer: -11603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 172, 275, 378?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9720456014\/(-2))\/(2 - 46). Let j = f - 110436979. Let s = j + -22747. What is the common denominator of s and 37\/10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -74, 0.3, 0, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/20)*l\/(l\/l**3)*l)**(-8)*(l**(-1))**47\/(l**(-3)*l**(2\/17)\/l) assuming l is positive.\nAnswer: l**(-6351\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 7*s + 400. Let h(z) = 6*z**3 - 205*z**2 + 22*z + 428. Let q be h(34). What is the greatest common factor of q and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10342\/2985 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 52 + 31*o + 3*o**2 - 26*o - o**2.\nAnswer: 2*o**2 + 5*o - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.272 + 0.202. Suppose -3*p = v + 15, 0*v - p = -4*v - 8. Let h = 294 + -1476\/5. What is the third smallest value in h, v, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 832575?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1530668.7 rounded to the nearest ten thousand?\nAnswer: -1530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -19*f**2. Let y(a) = 4428348*a. Give y(v(t)).\nAnswer: -84138612*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 5*y**2 + 4*y + 5. Let k be a(4). Let s be 22\/k + (-6)\/15. Let x = s - -6. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(-2 - 2*k + 2)*(-15 - 20 + 1).\nAnswer: -136*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44)\/(-10) + (-18)\/45. Let w(c) = 23*c + 1 + 2 - 4 - 12*c. Let y be w(3). Calculate the highest common factor of y and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-243)*12954\/(-332). Let i = a + 1\/747. Let n = -9 - 34. Find the common denominator of n and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0 - 15. Let s(n) = n**2 + 4*n + 5. Let j be s(-4). Differentiate -v - 2*w**2 + j + 2 wrt w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f + 3 - 3)*(-3*f - 13*f - 8*f) as r + h*f**2 + k*f and give h.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y - 1. Let d(f) = -54222*f. Determine d(z(n)).\nAnswer: -162666*n + 54222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5964346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -c - 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 358209104 a multiple of 823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 15 = -0*v, -87 = -2*s + 3*v. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1215*-18701\nAnswer: 22721715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03050632 + 0.03084. What is i rounded to 6 dps?\nAnswer: 0.000334","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3\/w**(-4))\/(w\/w**(-3)*w\/(((w*w**(-5\/4))\/w)\/w))*w**4*w*w**(-2\/15)*(w\/w**(-2\/5))**26 assuming w is positive.\nAnswer: w**(2461\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 6 = -2*m - 5*j, -289*m + 316*m + j = 187 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntq when three letters picked without replacement from {t: 3, q: 7, n: 4}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/3264647 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - o + 4. Suppose 0 = -5*i - 23 - 2. Let v be 1*i*(-12)\/10. Let u(k) = -1. Let r(n) = v*u(n) + 2*p(n). Give r(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -12. Let g be (-3)\/(-1) + (-10)\/(-5). Factor -u**w + 3*u**5 - g - 2*u**3 + 5.\nAnswer: 2*u**3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1763, 3528, 5293, 7058, 8823, 10588?\n\"Answer: 1765*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 4, 46, -6\/29, 18, -5?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39535461*g - 29539440 with respect to g.\nAnswer: -39535461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1942*p*s**3*y + 28*p*s**2 + 3*p*s - 21*s**2*y wrt s.\nAnswer: -11652*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (0 - (-1 - (3 - 1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i**2 + i**3 - 22*i**2 + 43*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 5*f**3\/12 + 19*f**2\/4 - 4*f + 51. Find b, given that i(b) = 0.\nAnswer: -8, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2599, -2597, -2597, -2599, -2603, -2609?\nAnswer: -2617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, 4631, 4 in descending order.\nAnswer: 4631, 4, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/6*12\/((-144)\/262) and 47\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 275 = 6*l. Calculate the remainder when l is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwu when three letters picked without replacement from {u: 10, w: 1, l: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 45*f**3 - 14 + 1 + 3*f**2 - 40*f**3. Let q(c) = 6*c**3 + 4*c**2 - 13. Let j(y) = -4*q(y) + 5*t(y). What is j(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 0 + 0*h - 4 - 6*h. Let g be s(-6). Let x = 1.3 + -0.3. Which is the second biggest value? (a) -2\/9 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178945, -357915, -536927, -715987, -895101?\nAnswer: -1074275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*s = -3, -9 = -3*l - 27*s + 29*s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*a - 3*i = 234*a + 18, -2*a + i = -3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**4 + 14306*y**3 + 557998*y**2 wrt y.\nAnswer: -24*y + 85836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49294 <= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 5, 7\/3, -3\/5, 1\/5 in descending order.\nAnswer: 5, 7\/3, 1\/5, -2\/5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 124183d (base 14) in base 9?\nAnswer: 17435775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4*v + 183471 = 183450, 26*y = 2*v - 90 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 13\/4, -3\/8?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2256622793 take away 0.5?\nAnswer: 2256622792.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.068 * 6477.8.\nAnswer: -440.4904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/184)\/((-3)\/(-6))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*u - 671 + 46 = 0, -5*u = 4*w - 499. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -270.683 to one dp.\nAnswer: -270.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 38*k**2 - 24*k - 22. Let s(h) = 13*h**2 - 9*h - 8. Let m(w) = -3*o(w) + 8*s(w). Let i(t) = -3*t**2. Calculate m(i(x)).\nAnswer: -90*x**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 581365129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 7:09 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2 - -1) + (100 - 93) - -15.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00093713385 to five decimal places.\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k = -24*k + 4. Let g(b) = -b. What is g(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n. Let y(m) = -831*m**2. Give y(k(r)).\nAnswer: -13296*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -c, -5*o = -2*o - 3*c - 633. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/80*4 - (-1)\/(-5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2951, -3326, -3995, -4994, -6359, -8126?\nAnswer: -10331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*f + 38, -9 = -3*f - 2*y + 14. Let s(j) = 12*j - 2 + 1 - j**2 - 4*j**2 + 4*j**2. Does 15 divide s(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -22. Let a be 2 + ((-6)\/(-2))\/1. Let o(u) = -u + 7. Let y be o(a). What is the third biggest value in -2\/3, y, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66878 and 1182979?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 110\/22*(-4)\/10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -1.2. Let q be (-224)\/(-64)*((-36)\/28 - -3). Which is the nearest to -4? (a) q (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1123*t - 8 + 5 + 3 - 1079*t.\nAnswer: 44*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*b + 95, 7*m + 3*b - 105 = 4*m. Is 3 a factor of (-6)\/9*m\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 - 4*z. Suppose 0 = 5*w - 144 - 446. Let o(r) be the first derivative of w*r - 22 - r**2 - 118*r. What is o(v(u))?\nAnswer: -8*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.101 to one dp.\nAnswer: 45.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -20*c + 253. Calculate z(17).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1706876 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3380388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 3, g: 1, z: 3, r: 2, f: 1}. What is prob of sequence uz?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/(520905\/42)*11?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snnzsnsnsnnsss. Give prob of picking 1 z and 1 s.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**4 - w**2\/2 - w. Suppose 7*p - 5*f + 5 = 2*p, -f + 5 = -5*p. Is y(p) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 335*t**3*w**3*z + 3*t**3*w*z**3 + t**2*w**2 - 40*t*w**3*z**3 - 4*t*w**3 wrt t.\nAnswer: 2010*w**3*z + 18*w*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from {s: 2, a: 1, k: 2, x: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/(-1 - 20\/(-12)). Suppose s = 5*z - 3*r - 131, 5*r = 15. Suppose 4*k - 39 = z. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 448037 or -798?\nAnswer: 448037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(162)*2*-2 + sqrt(162)) - (sqrt(8) + (sqrt(8) - ((sqrt(16) - sqrt(64)\/sqrt(4)) + sqrt(16))\/sqrt(2)))\/(sqrt(4) - sqrt(64)*-2)) + 3.\nAnswer: 3 + 1214*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 114992398 a multiple of 606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**2 - 3*a + 5. Let k be s(4). Let v(d) = k*d**2 - 16*d - 111*d**2 + d. Let g(o) = 80*o - 26*o + 3*o**2 - 22*o - 24*o. Give 11*g(y) + 6*v(y).\nAnswer: -3*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -51 + 9. Find the third derivative of 4536*f**4 - 43*f**y - 4536*f**4 + 68*f**2 wrt f.\nAnswer: -5160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + b + (0*b - b + 3*b)*(0 - 3 + 2) - 3202*b - 4092*b + 5234*b.\nAnswer: -2061*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3976679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1496 + 1158*g**2 - 1496 - 2*g + (-3*g + g + g)*(5*g - 4*g - 2*g) - g**2 - 4*g**2 + g**2 as u*g + f*g**2 + m and give f.\nAnswer: 1155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30535558919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**2 + 155565*x - 3269070 = 0.\nAnswer: -31134, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -111, -197, -319, -483, -695?\nAnswer: -961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5018\/951 + 18\/317. Factor 0 - 2\/3*t**2 + w*t.\nAnswer: -2*t*(t - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -682*v + 437. What is the thousands digit of h(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 140 + -3a7a9?\nAnswer: -3a669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Round 34380 to the nearest one thousand.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 423606.9ml?\nAnswer: 423.6069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 4 (c) 51 (d) -0.4 (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 578274 and 1?\nAnswer: 578274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 526160\/(-2280) - ((-4)\/(-3) - 1). Let n = y + 231. Which is the fourth smallest value? (a) -1\/4 (b) 6 (c) 0.4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1965 + 20437. What is the ten thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -48. Let w = -9 - f. List the prime factors of 2\/w*3*21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 - -0.2. Let i = -2516.8 + 2307. Let l = 210 + i. Which is the nearest to d? (a) -0.3 (b) l (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o - 23. Let k(i) = -2*i - 5 + 9 + 19. Let b be 34\/(-34) - (-6)\/(-1). Let v(f) = b*y(f) - 6*k(f). Differentiate v(w) with respect to w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -757\/1337 + -1\/191. What is the closest to -2 in 2\/9, d, 2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 13\/1191 (c) 24 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -4)\/(((-7)\/(-2))\/7). Suppose -s*v + 5 + 21 = n, 0 = n + v - 11. What is the units digit of 2\/n + 125\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 7?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 4*s**2 - 5*s**2. Let p(w) = 9*w. Let m(r) = -19*r. Let b(d) = -3*m(d) - 7*p(d). Let t(o) = -4*o. Let z(v) = 5*b(v) - 8*t(v). Give f(z(j)).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12048, 11752, 11446, 11124, 10780, 10408?\nAnswer: 10002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19\/45 - -22\/585. Let h = -148.8 - -149. Which is smaller: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 12:34 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105922*f + 105872*f - 211698*f.\nAnswer: 96*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 18*u**2 + 3*u - 2. What is the remainder when 297 is divided by h(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -4 - (-10 + 13 + -11 + 1)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 g, and 1 o when four letters picked without replacement from {c: 2, v: 1, r: 1, g: 3, o: 2, u: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231997 + 147010 = -3959*z + 279241 for z.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -15*u + 346. Let f be z(23). Let g(l) be the third derivative of -l**6\/40 + l**4\/12 - l**3\/6 + 18*l**2. Give g(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 16. Solve -x**3 + x**3 - 4*x**4 + 10*x**4 + 2*x**b = 0 for x.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -287036 divided by -71759?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 13*j**2 + 9*j**2 + 37 - 3*j**2 - 52*j**2 in the form z*j + l + q*j**2 and give l.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 32*h**2 - 2*h - 61. Let g be i(-32). Solve 4*v - b + g = 0, -v + 24 = -3*v - 4*b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 = -32*f - 109 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 71 + 18 = -5*p, -p + 4*t + 29 = 0. Let a = p + -21. Calculate the remainder when 5 is divided by 6\/8 + (-18)\/a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**2 - c**2 + c**2)*(-5*c + 5*c**2 + 5*c + (c - c - 2*c)*(91*c + 70*c - 1194*c)) to p*c**3 + x + v*c**4 + q*c + z*c**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 - 2 = 0, 106 = 5*f + 2*h. Let m be 3\/(-5) - 28\/f. Suppose 4*g - 10 = 3*a, 2*g + 4*a = -1 - 5. Which is smaller: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 13. Let s be n(16). Suppose 0 = 4*g - s*g - 7. Solve g - 2 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5394 a factor of 273152160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at least as big as -13\/257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/190 + -1 - (-46)\/(-345) and 368\/(-276) + (-1)\/(-5)?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 417, 1568, 3531, 6342, 10037, 14652, 20223, 26786?\n\"Answer: 6*p**3 + 370*p**2 - p + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 22 - 18. Suppose -f = -2*m, 5*p - 4 + 3 = -4*m. Let l(b) = -4*b + 0*b - 2*b**2 + 1 + 0*b**2. Give l(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -4*z**2 - 13*z + 689. Suppose 0 = 2*p - 11 - 13. Let s be 21\/p + (-2)\/(-8). Let v(x) = -2*x - 3. Calculate s*h(u) - 9*v(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from lrlrvrrrl?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14151 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 414439*d**2*i**2 + 7*d**2*i + 6950408*i**2 wrt d.\nAnswer: 828878*d*i**2 + 14*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.7 - 8.8. What is the biggest value in 1\/6, -0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 9*w - 12*w = 22, -3*n = 4*w - 19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000133391 to 7 decimal places.\nAnswer: 0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6*25\/(5500\/60). Which is the smallest value? (a) f (b) 0.01 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdgd when four letters picked without replacement from dqgdqqqqqqqdqggdg.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 239432028 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 277356829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40\/19 - 4\/38. Suppose 0 = -3*h + j + 8784, -h + 4*j + 8793 = z*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 86 - 30. Let m(k) be the first derivative of -15*k**2\/2 - 3*k + 1. Let l be m(-3). What is the highest common divisor of j and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163832100 to the power of 1\/3, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 1733104?\nAnswer: 1733103.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -11*h**2 + 3*h. Let b(g) be the first derivative of -32*g**3\/3 + 4*g**2 + 5. Let v(j) = -3*b(j) + 8*i(j). Let n(x) = 2*x. Determine n(v(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -332606 greater than -332606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*s**4 + 4*s - 8*s**4 - s**3 - 7*s**2 + s**2 + 2*s**2.\nAnswer: s*(s - 2)*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6020194, 6020195, 6020196, 6020197?\nAnswer: 6020198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 291346604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31, 83, 241, 559, 1091, 1891, 3013?\n\"Answer: 9*q**3 - q**2 - 8*q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 89*l + 2369. Calculate the remainder when g(-25) is divided by 83.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5848 + -2360. Is t a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155796 is divided by 77784?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f + 3. Let w(g) = 3*g + 4. Let t(v) = -3*w(v) + 4*y(v). Let a(l) be the second derivative of l**3\/6 - l. Give a(t(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 321457020 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6990 - -255?\nAnswer: 6c05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766784428?\nAnswer: 2, 43, 79, 56431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/15*6*(-3)\/12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 7) to base 11\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - r + 0*r + 3*r + 0*r - 5*r + (0 + 3 - 1)*(-3*r + r + r) - 2*r - 3 + 3 - 3*r - 5 + 5)*(1 - 1 + 3*r**2).\nAnswer: -33*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1505999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65\/38 - 4\/19. Let i = 2.5 - 5.4. Let g = -3 - i. Which is the third biggest value? (a) g (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, b: 9, v: 4}. Give prob of sequence vj.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 275.84 - 4.84. Let g = x + -273. What is the second biggest value in -3, 0.02, g, 3\/2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 - 50. Suppose 4*s - v = i, 0*v + 2*v + 20 = 4*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13348530 to the nearest integer?\nAnswer: 3654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1597*u + 1604*u + 475 = 5*q, 0 = 3*q + 3*u + 183 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20460 and 250080.\nAnswer: 85277280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 2106*z = 2115*z + 214, -t = 4*z - 5 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**2. Let h(w) = -1975804*w**2. Determine h(g(p)).\nAnswer: -49395100*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/12 or -54.6?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/11 and -19\/21375154.\nAnswer: 235126694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38, -383, -1326, -3167, -6206, -10743, -17078?\n\"Answer: -50*q**3 + q**2 + 2*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 50 - 14. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhuf when four letters picked without replacement from xxxffxuxhxhlh?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-93000)\/(-2263) - 41)\/(-7).\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1177889 divided by 26.\nAnswer: 1177889\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a - 2. Let c(s) = -s - 6. Let j be c(-7). Let b(h) = 2*h**3 - 10*h**2 + 7*h - 34. Let o be b(5). Let m(x) = -2 + 1 + 2. Determine j*m(i) + o*v(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 914 = 6*z, 9 = u + 7. Calculate the remainder when z is divided by 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/2)\/(f\/(f\/(f*f**(-2)*f))))**(-13)*(((((f**(-2\/7)\/f)\/f)\/f)\/f)**(1\/3))**45 assuming f is positive.\nAnswer: f**(-627\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*y - r, 16*y - 21*y - 5*r - 15 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 0*m + 4*m - 2*m**2 + 1 + 6*m**2 - m**3. Suppose 4*o + 1 = 3*o. Let w = 4 - o. Determine s(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1207?\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30494, -30533, -30572, -30611, -30650?\n\"Answer: -39*j - 30455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 + 2?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 385*z**3 - 2*z + 5. Let b(k) = -387*k**3 + k**2 + 3*k - 5. Determine -2*b(c) - 3*h(c).\nAnswer: -381*c**3 - 2*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2567877*k + 32. Let v be z(9). Let s = v + 12169075. Round s to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a factor of 168127469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/(-126)*(-1451046)\/64. Let b = o - 5038. Calculate the common denominator of b and 125\/54.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -27*n**2 + 7*n - 16. Let j(a) = a**2 - a. Let r(h) = 14*j(h) + 2*k(h). Differentiate r(q) with respect to q.\nAnswer: -80*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -40*v**3 + 3*v + 3. Let l be y(-2). Let b = -251 + l. Calculate the greatest common divisor of 12 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 113*r**4 + r**3 + 105 with respect to r.\nAnswer: 452*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51b2 - -4?\nAnswer: 51b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -182 - -181.823. Let f = l + 4.087. Let d = -0.09 - f. Sort -2, 3, d in ascending order.\nAnswer: d, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2041570 and 20603.\nAnswer: 22457270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from adddddaaadaadaddaadd?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -6413*g**8\/336 - g**5\/30 - g**4\/8 + 56*g**3\/3 + 541*g**2 - 1. Find the third derivative of p(t) wrt t.\nAnswer: -384780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 577*x**2 + 492*x**2 - 18.\nAnswer: -85*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-20))\/((-2)\/10). Let s(i) = 4*i**2 - 24*i - 34. Let w be s(-3). Suppose 0 = 2*y - 2, -o*y - 444 = -g - w. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, 8, 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, k: 1, n: 1}. Give prob of picking 1 k and 1 d.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5708.66 weeks in milliseconds?\nAnswer: 3452597568000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/68)\/((-150)\/1200).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzsmvs. What is prob of sequence sm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6805 = 4*q, 5*q - 87*j - 8483 = -83*j. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + sqrt(14)\/sqrt(2) + 1) + (sqrt(7) + sqrt(175)*-6 - (sqrt(56)\/sqrt(2))**2).\nAnswer: -26*sqrt(7) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/29187 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3634627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6808 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1279278 and 189357.\nAnswer: 162468306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-3))\/(-1)*7. Suppose g = 4*r - 1. Suppose -2*k = -4*c + 3 - 29, -c = r*k - 21. What is k rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 56*w**3 - 9*w**2 - 9*w + 13. Calculate t(-2).\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333\/111*1\/(-3)*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 - 0.8. Let h = w + 0.2. Let a = 0.13 + -0.43. What is the nearest to h in 0, a, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.98479 + -0.02291. Let j = h + 11. Round j to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Let x = -1.96 - -2. Let f = x - -0.26. What is the closest to 0 in 1, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 - 4*t + 4*t)*(74 - 103 - 112 + (-1 + 4 - 1)*(-4 + 3 - 1))*(35 - 23 - 18 + 3*t**2) to the form j + k*t**2 + p*t**4 + b*t + r*t**3 and give k.\nAnswer: 870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 1) + -5 + 10. Suppose 2*s + 3 = -p, -3*s - y*p = 2*s + 8. Is s - 78\/((-6)\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49805 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -30*l + 35. Calculate h(3).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8208 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 613, 796, 951, 1066, 1129, 1128?\n\"Answer: -2*n**3 - 2*n**2 + 203*n + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 723414.6 centuries to millennia.\nAnswer: 72341.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/1095 (b) -5 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*d + 160*d - 550 = 330 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2110 * 551\nAnswer: 1162610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4088.136l to millilitres.\nAnswer: 4088136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*u - 7051 - 9641. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2025984\/5 or -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50791334?\nAnswer: 2, 11, 97, 23801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + c - 33, -3*c + 4 = -11. Let w = h - 53. Is 23 a factor of -3*1\/3*w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 218 - 218.091. Let u = 0.009 - f. Sort 0.4, 7, u, 0.2.\nAnswer: u, 0.2, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**3*o**3 + 2*l**3*o + 2*l**3 + 3853*l*o + 2628*o**5 wrt o?\nAnswer: -6*l**3*o + 52560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322c8 (base 15) to base 6.\nAnswer: 3225155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76112 is divided by 268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -4.9?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13661206.\nAnswer: 2, 13, 525431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.135 + 0.235. What is the second smallest value in 1\/2, -0.1, -2, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1933951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.5463142 - 0.2\nAnswer: -1.7463142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 542 - 550. Let a(m) = m**2 + 7*m - 15. Give a(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5789 + 5821 - 11636 + 31*u.\nAnswer: 31*u - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**4\/8 + 5*d**3\/6 - 6*d**2 + 4. Let l(r) be the second derivative of h(r). List the prime factors of l(-18).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 112.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3\/3 - 3308*w**2\/3 - 39226*w + 1067220 = 0. What is w?\nAnswer: -1617, -55, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 32. Let t be z(38). Let o be (-153)\/108 - 2\/t. Which is the closest to 0.1? (a) -1\/2 (b) o (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86*d**3*n**3 - 2*d**3 + 4*d**2*n**3 - 16*d**2 wrt d?\nAnswer: -516*n**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.04, 4\/5, 1.5, -0.8, 5, 0.07?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.002, 0, -40 in descending order.\nAnswer: 2, 0.002, 0, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b**5 - 35211*b**4 + 735459*b**3 - 1004931*b**2 - 35601579*b + 26967330 = 0. What is b?\nAnswer: -2955, -6, 3\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*o + (-2 - 5 + 4)*(-3 - 2*o + 3) + 0*o + o - 5*o + (-3 + 5 + 0)*(-6*o + 2*o + 2*o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + d + 24. Let m be p(6). Let a(t) = -t + 1. Let u(l) = -4*l + 7. Calculate m*a(q) + u(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -251\/456 - -10\/57. Let d = 0.04 + -19.04. Let o = d - -21. Put o, -1, h in decreasing order.\nAnswer: o, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 195797, 9, 201 in descending order.\nAnswer: 195797, 201, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*i + 158*i + 10331 = -228*i - 6031 for i.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, 33, 229, 535, 951?\nAnswer: 1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 + 4607732133?\nAnswer: 4607732347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 453467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - h**3 - h**3)*(2*h**2 - 2*h**2 + h**2 + (-2*h + 0 + 0)*(1 - 1 + h) - 2*h**2 - 1 + 1).\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 14*f**2 - 1073*f - 264. Let j be i(77). Solve -260 = 56*h - j*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -132 - 73540?\nAnswer: -73672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -1*-2*(-2)\/12. Let h = 1 + -3. Let k = 5 + -35\/6. Which is the smallest value? (a) f (b) h (c) 29 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 8, -2\/9, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 64, -209, 4 in increasing order.\nAnswer: -209, -22, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -13, -3, -34, 5 in increasing order.\nAnswer: -34, -24, -13, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 5*p - 75*k + 66 = -72*k, 3*p = 4*k - 68 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**2 + 2*t - 3. Let i(r) = 3*r**2 - 2*r + 2. Suppose 3*d + 3 = -3. Let s(b) = d*g(b) - 3*i(b). What is the second derivative of s(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o - o + 5*o)*(-1 - 3 + 6) + 10665*o - 43549435 + 43549435 in the form p*o + v and give p.\nAnswer: 10669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*q + 830 - 222. Which is smaller: q or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -314.022 - -0.022. Let t = -314.12288 - h. Let p = t + 0.12. Round p to 4 decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 97 = -1720. Let w = y - -762. Suppose 55 = 4*b - w. What are the prime factors of b?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*3\/(-12) - 68\/(-16). Let z be ((-1)\/(i\/52))\/(42\/(-9)). Let t = 513\/154 - z. Is -0.5 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4b (base 14) to base 6\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (11 - (8 - 0)) - -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k**2 - 9*k + 1. Let c(d) = 10*d**2 + 22*d - 2. Let v(g) = 5*c(g) + 12*z(g). Let q(r) = 2*r**2 + r + 1. What is 4*q(n) - 3*v(n)?\nAnswer: 2*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3*3\/(-108))\/((-6)\/12)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f - 7. Let q be l(-3). Suppose -s + 3*r = -0*s + 21297700, 85190766 = -4*s - q*r. Let c = s + 33197694. Round c to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 287*m - 251*m + 876*m + 1062*m - 21*m in the form r*m + b and give r.\nAnswer: 1953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hobjvah. Give prob of sequence boja.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*d**3 - 103*d**3 + 53*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*j, -4*j + 9 = 2*c - 11. Let p = c + 7. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 417747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + (sqrt(500)\/(sqrt(10)*5))\/(sqrt(40) - sqrt(40)*-5))*6.\nAnswer: 3*sqrt(5)\/5 + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15167.\nAnswer: 29, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 596, 595, 594, 593?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38546 is divided by 6783.\nAnswer: 4631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3385 - 124*m**2 + 3385 + (-4*m**2 + 5*m**2 - 3*m**2)*(-4 - 1 + 2).\nAnswer: -118*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248878 is divided by 408.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = f + 5*v, 3*f - 5*v + 24 = -10*v. Put 1, -6, f in decreasing order.\nAnswer: 1, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1206 and -21\/2278.\nAnswer: 20502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - x + 8. Let p be ((-36)\/15)\/(x\/(-10)). Solve p = m + 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7415 + 5048. Let a = -1526 - v. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-238*k + 196*k - 263*k)*(1 + 1 - 1).\nAnswer: -305*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -188, -456, -904, -1532, -2340?\n\"Answer: -90*u**2 + 2*u - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/13)\/c*c*c)\/(c**(5\/6)\/c))\/(c*c**4*c**(4\/3))*c**7*c*(c*c**0)\/c*c*c\/(c\/c**0)*c*c*c**(-7\/4)\/c assuming c is positive.\nAnswer: c**(457\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1, -0.3, 4, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 3, 2593 in increasing order.\nAnswer: 0.1, 3, 2593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 + 16*h**2 + 12*h - 15. Let j be z(-7). Let f be j + 6*20\/(-75) + 3. What is the fourth biggest value in 0.3, -7, 0.7, f?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 201.9946828508 and 4.\nAnswer: 205.9946828508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -309 + 331. Is 28 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.073, 0.5, 3, 18, -1.\nAnswer: -1, -0.073, 0.5, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 1. Let f = 94 - 93. Let x(h) = 16*h**3 + 12*h**2 + 36*h + 12. Let b(p) = f*x(p) + 12*v(p). What is the second derivative of b(m) wrt m?\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-90)\/24*-66*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520355569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*k + 14*k + 1 - 7*k)*(2*k**3 - k + k)*(0*k - 3*k + k).\nAnswer: -136*k**5 - 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000101011011010111001011 + -1010?\nAnswer: -11000101011011010111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8840 and 272?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005471 to 4 dps.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/1890 and -69\/23930.\nAnswer: 4522770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 297 + -9?\nAnswer: 28c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441 - 330 = 9*y - 924 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 208*f - 82*f**2 - 13*f**2 + 100*f**2 to y*f**2 + u*f + v and give u.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1900) - (1 + sqrt(1900))) + -1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**2 - 3. Let i(g) = -8*g**2 + g - 7. Determine 3*i(z) - 7*v(z).\nAnswer: 4*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 385, 487, 769, 1321, 2233?\n\"Answer: 15*h**3 - 3*h + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 2:32 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - d**2 + d + 1. Suppose 422*g - 442*g = -20. Let c(i) = -3*i**3 + 7*i**2 - 5*i - 4. Determine g*c(r) + 5*m(r).\nAnswer: 2*r**3 + 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 148*r - 151. Calculate f(2).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -15, -4, 25, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + 27. Suppose 432*z + 60 = 427*z. Let u = z - a. Solve u = w + 4*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(2*3\/(-18)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -273137 + 7?\nAnswer: -273130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43613698277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49 (base 16) to base 6.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 92 * 125\nAnswer: 11500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/32*5344\/2338.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/3)*s)**21\/(s*s*s\/s**0)**(-4\/27)*((s**(-1\/3))**(3\/5))**(2\/17) assuming s is positive.\nAnswer: s**(27097\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 - -52. Let a = -168.2 + -23.8. Let u = a + m. Are 0.1 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 34*l + 5. Determine g(-36).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(80) + 3 - sqrt(80) - sqrt(80) - 1*sqrt(80)*-4)**2 - ((sqrt(245)*1 - 2*(1 + sqrt(5)))*-6)**2*-1.\nAnswer: -528*sqrt(5) + 5428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 6\/763?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybaayaguayvav. Give prob of picking 1 a and 1 g.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5905288 minutes to seconds.\nAnswer: 35.431728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 2485.\nAnswer: 2\/497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -f + 2, 8*h + 3*f = 6*h + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**4\/12 - 2*y**3\/3 + 2*y**2 + y - 37. Let d be f(4). Solve 0 = d*l - q + 3 + 2, l = -3*q + 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*z + 58*z**2 - 33*z**2 - 23*z**2 to y*z**2 + l + b*z and give b.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from {z: 5, l: 8}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {d: 1, e: 1, q: 2, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 9*h**5\/100 - h**4\/20 + 7*h. Factor l(v).\nAnswer: 3*v**2*(3*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*v - 4*m - 40, -25*m = 5*v - 24*m - 22 + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 - 39*d**2 + 23*d + 32. Let w be t(-20). Find the common denominator of (-1776)\/w*11\/88 and (3\/2)\/(8\/(-22)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*k + 76*k = 147 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22246 is divided by 1566?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010 (base 4) to base 5.\nAnswer: -2244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 239, 423, 607?\n\"Answer: 184*h + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 31.1. Let j = -0.6 - f. What is j rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**3 + 80*l**3 - 22 + 10*l**3 to f*l + d*l**3 + a*l**2 + m and give d.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**7\/840 - u**5\/60 + u**3\/6 + 2*u. Let x(o) be the second derivative of a(o). What is the second derivative of x(p) wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 28*a**2 + 74*a - 570. Determine t(-31).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.19277 millilitres in litres?\nAnswer: 0.04319277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 133*x + 58*x + 24*x - 1 + 47*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywwryrrryyrryyyywr. Give prob of picking 1 w, 1 r, and 1 y.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 19. What is the highest common divisor of 90 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -306*k. Let p(f) = -2*f. What is j(p(m))?\nAnswer: 612*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1170986, -1170613, -1170240, -1169867?\nAnswer: -1169494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 14 = -1. Let m = 16.91 - 17. Let o = 2.09 + m. Put b, o, 0 in descending order.\nAnswer: o, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a**(-1\/3)\/a*a*a)\/a)*(a*a**(1\/5))\/a*a)\/((a**(-8)*a)\/a**1) assuming a is positive.\nAnswer: a**(158\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -3*z**5\/20 - z**4\/12 - z**3\/6 - z**2\/2 + 6*z. Let u be l(-1). Let i(j) = 5*j**2 + 2*j**u - 5*j**2. Calculate i(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((500\/(-5))\/10)\/(-48 - -50)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 20*m = 1080. What is the highest common factor of 8 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-10)\/95 - ((-567)\/(-209) + (-41)\/41).\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 11:26 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 6*t + 3. Suppose 0 = 6*j - 3*j - 6, t*j = -v + 441. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3)**(-40\/9))**6\/((s**(-1\/5))**(7\/11))**(-2\/23) assuming s is positive.\nAnswer: s**(-101214\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 8*b - 7. Let r be w(7). Which is greater: -20 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (723\/12532)\/((-81)\/36)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 40703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 2:10 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/12)\/(1020\/1224).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*h + 6 = 0, -18 = -j - 3*j - 5*h. Calculate the greatest common factor of 14 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -3*b + 23, -5*a = 5 + 20 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2572, 5145, 7718, 10291, 12864, 15437?\nAnswer: 18010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**3\/6 - 2*h**2 - 7*h. Let g = -83 - -76. Give r(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9469225 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527 + 1564 - 521 + 2*c**2 - 522.\nAnswer: 2*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 0*l + 1\/60*l**5 - 3*l**2 - 1\/6*l**3 + 0 - 1\/12*l**4. Give c(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 508 - 2*t**4 + 2*t**3 + t**2 - 952 + 512 to the form z*t**2 + y + a*t + r*t**4 + o*t**3 and give y.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1085*w**2 - 158*w - 18. Let x(l) = -271*l**2 + 39*l + 4. Give -2*f(q) - 9*x(q).\nAnswer: 269*q**2 - 35*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2754) - sqrt(34) - sqrt(34))\/(-1*sqrt(128)))**2.\nAnswer: 425\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 132 - 16320445?\nAnswer: -16320313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423359 is divided by 189?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200021 - -1002200122220?\nAnswer: 1002121222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59295 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 4*t - 8. Suppose -2*q = 17 - 27. Suppose q*r + 10 = 10*r. Let g be (-16 + 7)*1*r\/(-3). What is y(g)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 44*o**2 - 56*o + 785. Is 15 a factor of a(-50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 4*n + 4, n - 41 = -3*s - 25. Let t(b) be the third derivative of 0*b + 1\/24*b**s - 3*b**2 + 0 - 5\/6*b**3. Give t(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -50, -3, -13, -0.3?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6 = 3*m. Let y = 12 - m. Let z = 39 + y. Calculate the greatest common divisor of 19 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000714835 rounded to seven decimal places?\nAnswer: -0.0000715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30013220 - -3033?\nAnswer: -30010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56914.\nAnswer: 2, 11, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5956 or 6141?\nAnswer: 5956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 2. Suppose -4*y + 9 - 3 = 2*v, l*y = -v + 6. Which is the nearest to 0.1? (a) -2\/3 (b) v (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, -33\/4 in decreasing order.\nAnswer: -0.3, -5, -33\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r - 3*r + r)*(-2 - 3 + 7)*(r - r + 2*r**2) in the form z*r**3 + x*r + n + j*r**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5 + 4*(-2 + (sqrt(720) - (1 + sqrt(720))) + -5))**2 + 1)*-5.\nAnswer: 34250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67508\/70 + 10 - 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**4\/o*o)**(-1\/35))**(-43) assuming o is positive.\nAnswer: o**(172\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 212364871 a multiple of 675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + -2*sqrt(3) + (-5 + (0 + sqrt(432) - sqrt(432)))**2.\nAnswer: -2*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1353 and 274230?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1525862 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -240, -242, -242, -240, -236, -230, -222?\n\"Answer: h**2 - 5*h - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 4*y + 0*y - y + 0 + 0 + (2*y + 2*y - 2*y)*(-4 + 1 + 2) + 4*y - y - 2*y + 4*y - 4*y - y - 3*y + 0*y + 4*y)*(-510 + 510 + 9*y).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/6)\/a*a)**(-19\/6)*a**1*a**(-3)\/a assuming a is positive.\nAnswer: a**(-241\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 7:41 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 14, 38, 82, 152?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -680 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**3 + 3*f**2 + 8*f + 4. Let s be d(-1). Suppose s*x = -3 - 3, 2*y - 19 = 3*x. Solve 2*k - 5*v = 2, -6*k + 5*k + 1 = y*v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4113255732 - 0.03\nAnswer: 4113255731.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + y = 3, 0 = -4*a + y - 333 + 346 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 24. Let i be f(-15). Let z(j) = 26*j**2 + 7*j**3 - 7*j + 7 - 19*j**2 - i*j**3. Let u(w) = -w**3 + 3*w**2 - 3*w + 3. What is 7*u(t) - 3*z(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 570 - -11a?\nAnswer: 68a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6661 rounded to one dp?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 19. Let r(v) = 4*v. Let q(s) = -3*s + 6. Let a(o) = -o + 3. Let y(z) = -2*a(z) + q(z). Give n*y(d) + r(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 5*o + 5. Let k = -123 + 127. Let w(l) = l**3 - 4*l + 4. Calculate k*i(a) - 5*w(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**8\/6720 - m**7\/1120 - m**6\/1440 - 5*m**4\/4 - m**2. Let x(j) be the second derivative of h(j). Factor x(d).\nAnswer: -d*(d + 2)*(4*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -41*r - 1. Is 14 a factor of b(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.203 >= 206\/4293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.031 + 3.009. Let w = -0.04 + j. What is the closest to 0.1 in w, -0.4, -6\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*(1*(-1 + sqrt(2057) + -1*sqrt(2057) + sqrt(2057) + 5*(sqrt(2057) + -1) + sqrt(2057))*-1 + 5)*2)**2.\nAnswer: -1219680*sqrt(17) + 72658080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 1122313102?\nAnswer: -1122313103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z. Let w(f) = -2*f - 2415 - 2420 - 2417 + 7252. Let u = 13 + 1. Let b = u + -10. Determine b*w(t) + 9*g(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 728*r - 9. Let a(n) = 11*n**2. Give o(a(b)).\nAnswer: 8008*b**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 262 = -4*a - 5*j, 0 = 3*a - j - 250. Suppose 66 = 4*s + 2*f, -4*s - 3*f = s - a. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = 7*n - 58. Does 22 divide 42\/(1\/(-136)*n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c - 2*h + 28, 2*c + 56 = 5*h. Let q be (c\/6)\/((-2)\/3). Let a(i) = -i + 13. What is the smallest common multiple of 8 and a(q)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -347.07\nAnswer: -104.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.1576197 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 102920000 rounded to the nearest 1000000?\nAnswer: 103000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103601\/15804 - -1\/5268. Let p = 9799\/3605 - 2\/515. Calculate the common denominator of l and p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q. Let p(j) be the third derivative of -j**4\/24 - 50*j**2. Determine p(i(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1554.26348 and -107.8719.\nAnswer: -1662.13538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r - 24. Let n be h(-9). Let k(y) = y - 3. Calculate k(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 10. Let h = -2 + 12. What is the least common multiple of h and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 152694*v**2 - 153904*v**2 + 1519 + 3835 wrt v?\nAnswer: -2420*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/6 (b) 5 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -7360 and -375368\/51 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1224407, -1224376, -1224357, -1224356, -1224379, -1224432?\nAnswer: -1224521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 9 - 9 - 21 + 3 - 72 in the form y + a*r and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/10*((-6)\/15)\/((-10)\/(-25)). Let w = -2 + 0. Are w and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 677385300 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33*(-3 - 20\/(-6)). Find the common denominator of 12\/2 + -9 - (-51)\/g and (-226)\/12 - 1\/(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - 2*y**3 + 3*y**3)*(y + 0 - 1 + 2) + 11*y**4 - 8*y**4 + 14*y**4 + (0*y**3 - 5*y**3 + 3*y**3)*(-2*y - 1 + 1).\nAnswer: 23*y**4 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = -39*f - m + 86, 4*f - 7*m = -2*m + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108.2 - -98. Let m = c - -10. What is the smallest value in -0.4, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 680 and 340?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*s + 15. Let a(o) = -23*o - 7. Let h be a(s). Suppose -6*g - 112 = -4*r - 2*g, 4*r - h = 5*g. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-10)*-120*59\/(-1062).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20646 (base 7) to base 8.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/4 + -10 - 1. Suppose -3*p + 4*j + 26 = 0, 5*p + 4*j - 21 - 1 = 0. What are the prime factors of p\/(-3) - 0 - v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52.04 - 51. Let w = 0.04 - f. Which is the nearest to w? (a) -5 (b) -1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*k - 17 = -0*k, 2*k - 4 = 0. Calculate the remainder when a is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -3)\/(4 - 1). Calculate the remainder when 19 is divided by -1 + (4 - -3 - j).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 163\/5. Let z(l) be the second derivative of -l**4\/12 + 7*l**2\/2 - 4*l. Let k be z(-3). Which is the nearest to r? (a) k (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**4 + 136*y**3 - 1948*y**2 - 17968*y - 33024 = 0.\nAnswer: -43, -4, -3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + o + 24. Suppose 0*s + 5*d = -3*s + 27, -36 = -4*s - 4*d. Let r = s + -9. Is b(r) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2530145 by -5.\nAnswer: -506029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -123416050 (base 7) in base 10?\nAnswer: -7836556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2750 + 4*h**2 + 17*h - 17*h - 2750.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1394 + -1393. Let a(u) = -32*u**3 + 2*u**2 - 3*u + 2. Give a(t).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -15. Suppose 5*z = 5*u + 33 + p, 5*u = -z - 23. Suppose -z*w + 43 = 1. What is the greatest common factor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = s - 94601557, -w - 2*s - 47502399 = -201613. Let m = w - -29900780. What is m rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1001746 + 1546408 = 39*s - 2082745. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + o + 24. Let f be q(0). What is the units digit of f\/(0 + 2) + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.6 or 0.5?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10150 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97914852166.00000269 + 97914851497. Let r = -669 - k. Round r to seven decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 81\/7, 4824, -5, -0.02?\nAnswer: 81\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 u when three letters picked without replacement from ssssusssrss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -578.9 at least as big as 2\/13729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5060474173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-68)\/(-16) + 12\/16. Suppose -2*u + 19*q + 110 = 24*q, 306 = z*u - 3*q. Calculate the lowest common multiple of 60 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/77 - -239\/308. Put z, -0.4, -0.5 in descending order.\nAnswer: z, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*d - 9931 - 6119 - 302 = 34*d for d.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-104)*(-28)\/(-21).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43543 - -87089\/2. Factor 1\/2*q**2 - q - r.\nAnswer: (q - 3)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q. Let v(z) = 4*z + 2. Let y(x) = -3*x - 3. Let m(u) = 6*v(u) + 4*y(u). Calculate m(i(g)).\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2 - 3026480*x - 3026482 = 0.\nAnswer: -1, 1513241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.5935 rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1074 - 0)*(-6)\/36*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 67955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5)*h\/(h*h**24)*((h\/h**(-1\/6))\/h*h*h*h)**(-2\/35) assuming h is positive.\nAnswer: h**(-3064\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5\/(-3) + 3)*(-78)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 37*f + 2827. Give z(40).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*t = -77, 0 = -4*t + 14 - 2. Suppose -53 = -2*n - j. Let o be n\/((-27)\/90*2\/16). What is the highest common factor of 30 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + 1 + 1 + sqrt(243)) - (sqrt(108) + sqrt(108) + -1 + -3 + (sqrt(300)*-1 - sqrt(300))\/sqrt(4)))**2.\nAnswer: -250*sqrt(3) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 0. Let z(v) = 1 + 2*v**2 - 3 - 1 + 3*v. Let h be z(-4). What is the highest common divisor of i and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 6, -4457 in decreasing order.\nAnswer: 6, 4, -4, -4457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2101211120112 (base 3) to base 14\nAnswer: -25310d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 11. Give r(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -15*u + 85\/12*u**4 + 0 + 1\/2*u**2 + 1\/2*u**3. Is z(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110375 is divided by 316?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899 is divided by 296?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8877509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -380 + 380 + t**3 - t.\nAnswer: t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 4:56 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 988*h = 989*h - 71, 0 = -w - 7*h + 57 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 10*d = 5*o, 3*d = o - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (162 - 163)\/((-1)\/4). Let s(t) be the first derivative of t**4 + 5 + l*t**3 + 0*t - 12\/5*t**5 - 4*t**2 + 2\/3*t**6. Factor s(k).\nAnswer: 4*k*(k - 2)*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 - 3*j + 2. Let n be i(1). Let v be 1 - -3 - 0 - n. Solve 3*b = 2*z - 6*z - 4, -v*b + 2*z = 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0113000338 rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -431, 255908.\nAnswer: -431, -4, 255908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q = -171. Let o = 95 - q. Let r = -188\/5 + o. Is r > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - 2\/(1 + -2). Let h(i) be the first derivative of i**2\/2 + 7. Let o(a) = -2*a + 1. Calculate p*h(q) - o(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(143) - (sqrt(143) + sqrt(143)*1)) + (sqrt(143) - ((sqrt(143) - -1*sqrt(143)*-3) + sqrt(143))))\/((sqrt(396) + sqrt(396)*4)*-5) + -2 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3767*y + 3762*y = 8*r - 3*r, 4*y - 2*r - 12 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1690, -18 in decreasing order.\nAnswer: 1690, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 414249, 828498, 1242747?\nAnswer: 1656996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19179 and 1647?\nAnswer: 3509757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(2) + 4)*-6 - (sqrt(2) + sqrt(98) + -1))**2 + -4.\nAnswer: 644*sqrt(2) + 920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10750724 and 2215.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/2)\/(25\/(-100)). Let r be 0 + (2 - 0) + -1 + c. Let l(k) = -12*k**3 - 4*k**2 - 7*k - 2. Is l(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {x: 1, f: 3, g: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 693.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*i + 0 + 2*i**3 + 3*i + 0 + 9*i + 9 as m*i**2 + t + b*i**3 + q*i and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 85 + 4*(-7)\/14. Let t = x + -71. What is the least common multiple of t and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**5\/5 + 15396*g**4\/5 - 33933*g**3 + 277722*g**2\/5 = 0. Calculate g.\nAnswer: -5143, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**3 + 2*j**3 - 3*j**3)*(3 - 1 + 0 + (-1 - 2 + 5)*(2 + 1 - 1) + 0 + 0 - 1 + 0 + 6 - 1) in the form b + z*j**3 + v*j + t*j**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.0081 - -0.0081. What is the smallest value in 0.4, -3\/10, i, -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1 = -c. Let d be 2 - 4 - c - -6. Suppose -3*x - 63 = l - 299, 2*l - 395 = -d*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1956)\/24*(-2)\/5. Let w = -33 + u. Is w less than or equal to 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 832*(-39)\/143*(-22)\/12. Calculate the highest common factor of v and 3016.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**4\/4 + 5*w**3\/3 + 7*w**2\/2 - 4*w - 6. Let z be 6\/12 + 7\/2. Suppose 30 = 3*l + z*x, -4*x + 3 = -l - x. Determine d(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -164433 or -164434?\nAnswer: -164433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 + -10 - (1 + 0 - 16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7072)\/(-78) - 2\/(-6). Let x = 94 - o. Suppose x*y - 32 = -4*q, 5*q - y - 10 = 30. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuzwnwnwzznzz. Give prob of picking 2 z.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*-47.\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-3 + 0 + 4 - 209227*h + 41585*h - 1).\nAnswer: -167642*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 5*b**2 - b + 11. Determine i(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/15)\/((-22)\/(-198))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2244\/901)\/22*(-11)\/(-33)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 13, o: 3}. Give prob of picking 2 o.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*z = 109*z + o + 55, 3*o = 2*z - 18 - 21 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*n - 4*n + 0*n)*(5 + 11 - 3) to the form t*n + q and give t.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537851 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: Collect the terms in -10223212 - 118*o**3 + 10223212.\nAnswer: -118*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707182.\nAnswer: 2, 7, 50513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 9 = 5*x. Let d be x*(-304)\/24*(-51)\/(-2). What is the highest common factor of d and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (40 - 19) + 6\/(-2). Let c = f + -6. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30519233557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*h**3 + 18*h**2 - 26*h**3 + 3*h**3 + 2*h - 67*h**2.\nAnswer: h**3 - 49*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6)\/((-4)\/(3 + 9))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1036, -974, -912, -850?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 297727043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -12*q**2. Let t(j) be the second derivative of 1\/3*j**3 + 8*j + 0*j**2 + 0. Give p(t(c)).\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/3 of a century in months?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1410 and 130?\nAnswer: 18330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -28466.31.\nAnswer: -28466.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 3*m + 1\/2*m**2 - 1\/4*m**4 - 9 + 4\/3*m**3. Let o(c) = 2*c - 4. Let j be o(4). What is x(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0\/j)**(2\/59)\/(j*j*j*j*j**(-2\/7)*j*j)**(-13\/2))\/((j*j**(-8))\/(j**3*j))**50 assuming j is positive.\nAnswer: j**(242476\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 36. Let w be 1 + d + -3 - 0. What is the derivative of -2 - 4*l**4 - 4*l**4 + w + 5 wrt l?\nAnswer: -32*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85.5718 - -0.0282. What is g rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 734835.3ns in seconds?\nAnswer: 0.0007348353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -11*i**3 + 25*i**2 + 4*i - 32. Let d(m) = -24*m**3 + 51*m**2 + 12*m - 63. Let y(c) = 4*d(c) - 9*u(c). Factor y(a).\nAnswer: 3*(a - 6)*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 9*v**2 - 8*v + 7. Let c be b(-8). Suppose -c = -2*h + 1. Suppose a = h*x - 0*a - 96, -5*x = 3*a - 103. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29955.2 plus -1?\nAnswer: 29954.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*a + 34, 3*a + 5*b = -8 - 0. Let g be -2*21\/a*-1. Find the common denominator of 2\/g - (-1492)\/616 and 71\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/18 - -5*(-2)\/45. Let d(h) be the first derivative of 0*h - h**6 - 9\/2*h**2 + 0*h**3 + r*h**4 + 0*h**5 - 10. Find the second derivative of d(c) wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71108731?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/17)\/f*f*f**(-1\/8))\/(((f**2*f)\/f*f)\/(f*f*f**(-8)))*((f**(1\/3))**(-3\/2))**(-1\/5) assuming f is positive.\nAnswer: f**(-6217\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8119*y - 13999?\nAnswer: -8119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v**3 - v**2. Let i be l(-1). Suppose -12 = -3*u, 2*x + i + 20 = 4*u. Let j(r) be the third derivative of -r**4\/24 - r**3\/3 + r**2. What is j(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 65590711 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 531 divide 394755489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from {u: 3, c: 3, n: 3, y: 4, v: 3}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3541087?\nAnswer: 11, 19, 16943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156364060?\nAnswer: 2, 5, 191, 40933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -41. Which is smaller: 3\/185 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -96*q**2 + 111*q - 322. Determine v(3).\nAnswer: -853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 - 28. Suppose j - 2*j = 4*k - 33, o = 4*j + k. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 48783030*l - 48783025.\nAnswer: -5*(l + 1)*(l + 9756605)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -3. Let k(w) = w**3 - 2*w**2 - 4*w. Let s be k(5). Calculate the greatest common divisor of s and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.3 - -19. Let g(n) = 3 - 6 + 0*n**2 - n**3 + 2*n**2. Let z be g(2). What is the closest to 1\/2 in v, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5825 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14900)\/156450*490\/(-8).\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 4. Let x be l(7). Let t(h) = 2 - h**x + 3*h**3 - 5 + 2*h**3. Suppose 2*z + 6 = -0. Let n(s) = 3*s**3 - 2. Give z*n(c) + 2*t(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 8*h + 10*h - h - 2*h + 4*h + (-6 + 3 + 4)*(0*h - h + 0*h) - 3*h + h + 4*h - h + 3 - 3.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from asasaasarsararr?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10929*a**2\/4 - 565578*a - 1863\/4.\nAnswer: -3*(a + 207)*(3643*a + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 13) in base 7?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21cf + -b?\nAnswer: 21c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkdkzzkdkzdkkzdk. What is prob of picking 1 k and 1 d?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3 + 0*h**3 - 8*h + 12*h**2 - h**3 + 9. Suppose -f + 50 = 5*i, 4*f + 35 = 5*i + 8*f. Does 15 divide r(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(-1*sqrt(36)\/sqrt(3)) + sqrt(112) + 5 + 6*(sqrt(7) + -1).\nAnswer: -1 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 7*o - 24*o)*(-4 + 4 + 2*o + (0*o - 3*o + 2*o)*(4 - 5 - 1) + 2*o - 4*o + 3*o - 100*o + 30*o + 42*o).\nAnswer: 598*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 12*u**5 - 2990*u**4 - 30714*u**3 + 39390*u**2 - 5698*u = 0.\nAnswer: -11, 0, 1\/6, 1, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + (34 - 6 - 0).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(3\/5)*c*((c**(-2\/15)*c)\/c)\/c*c**(-1\/13)\/c**0 assuming c is positive.\nAnswer: c**(271\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmkknmknkkfkkt. What is prob of sequence ktf?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1352 (b) 1\/9 (c) 4 (d) 15 (e) 8 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11726)\/8118*3*-3 - (-94 + 2)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h**3 + 4*h**2 - 7*h - 1. Let k(d) = 12*d**3 + 4*d**2 - 8*d. Suppose 2*t = l + 6, 2*l = 3*t - t - 4. Let c(u) = t*x(u) - 3*k(u). Factor c(o).\nAnswer: 4*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 1:45 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 189*k + 1729. What is i(-164)?\nAnswer: -2371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a factor of 101723895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(112)\/sqrt(4))\/(sqrt(35)\/(1*sqrt(5))))\/((sqrt(4) + -3*1*sqrt(4))\/((sqrt(2) - (sqrt(4)\/sqrt(2) - sqrt(2)))*4))*-5.\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/p**3)\/p*p*p*p**(-5))\/(p**(-1\/4))**(-46))\/((p**(2\/7)*p**7*p*p)\/(p**(-2))**20) assuming p is positive.\nAnswer: p**(-921\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 62?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44518?\nAnswer: 2, 22259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.4 - 1. Let y = -0.4 + b. Suppose 1 = j - 0*j. Sort j, -1\/5, y.\nAnswer: -1\/5, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - k + 4. Let j = 2 - 2. Let v be q(j). Let d(a) = 3*a - 3*a + 1 - a + 0. Give d(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-864)\/324)\/(18\/(-324)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1727, -3447, -5165, -6881, -8595?\nAnswer: -10307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**9\/7560 + z**6\/360 + z**4\/3 + z. Let i(y) be the third derivative of s(y). Find the second derivative of i(u) wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.132 - -31.132. What is the fourth biggest value in n, -5, 5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 24. Let p be c(-19). Solve -2 = -4*q - 3*y, y - p = 3*q - 0*y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 5*c + 26, -5*c - 37*t - 32 = -36*t for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 14)*(-1)\/2. Let i be (-1 - 1)*12\/(-8). Suppose -i*w + 4*y - 7 = 0, -4*w + 5*w - 3*y + 9 = 0. Put 0, s, w in increasing order.\nAnswer: s, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -619*y**3\/3 + 3*y**2\/2 + 54*y - 1104. Find the second derivative of s(a) wrt a.\nAnswer: -1238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(5*1*sqrt(2)) - -2*sqrt(44)*4 - (3 + sqrt(396)*1 + 3 + (sqrt(396) + -1)**2 + 4).\nAnswer: -407 + 111*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**1*u**0*(u\/(u\/u**1)*u)\/(u**0\/u) assuming u is positive.\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (8 - 4) + 4. Let q(j) = j**2 - 2*j - 3. Let y be q(4). Solve -o*v - 14 = -2*f, 2*v - y = -5*f + 7*v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - v - 2)*(6*v + 5*v - 5*v + (2 + 2 - 2)*(-301*v + 601*v - 277*v)) in the form z + p*v + j*v**2 and give j.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1793*j**2 - 1488?\nAnswer: 3586*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-81)\/18*6\/(-9). Solve 0*h = -p*h + 5*c, 0 = 3*h - c + 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (40 - -2 - (-1214 - -1241)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 54*m**2 + 64*m**2 - 87*m**2. Let d be (22\/(-3))\/(10\/(-15)). Let g(y) = -d - y**2 + 4 + 7. What is r(g(k))?\nAnswer: 31*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u**2 + 13*u - 12. Is p(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02 (b) -5 (c) -1.5 (d) -30 (e) -1\/4 (f) -47\/5 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 39*x**3 + 3*x**2 - 35*x + 11. What is the thousands digit of u(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(288) + sqrt(288) + sqrt(54)\/(sqrt(3)*2) + -3*sqrt(18)*-3 + sqrt(882) + 2 + 4.\nAnswer: 6 + 147*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**17*p**(-22)*(p\/p**(-3\/2)*p)\/p*p*p**(-4\/7) assuming p is positive.\nAnswer: p**(-29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-70)*(-35)\/(-14).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1059 is divided by 82.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46823, -93648, -140473, -187298, -234123?\nAnswer: -280948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 180.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 7, -26, 3, 2 in descending order.\nAnswer: 7, 3, 2, 1, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from cjcccjcccjjccjjjjj.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.22.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1316231, -1316232, -1316233, -1316234, -1316235, -1316236?\n\"Answer: -i - 1316230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + g + 1 = 13, g = m + 6. Is -2 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1592100697?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + (-84)\/(-7) + -6. Suppose -4*x - 4 = -2*b, -2*b - 22*x + 21*x = l. Solve -2*f = d + 10, -f + 1 = -d - b*d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/(sqrt(44)\/sqrt(4)*1) - sqrt(304)*4*4)**2.\nAnswer: 75411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -87616 + 1184\/3*q - 4\/9*q**2 = 0.\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -8 - -25 - (-2 + 5 + -6).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 3:17 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41199 and 899?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -17.765. Let h = j - 0.035. Which is the second biggest value? (a) 0.4 (b) -0.2 (c) -5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410 (base 5) to base 3.\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14882 + -14930. What is the closest to y in -5\/2, 0, 11?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) -119 (b) -5 (c) 0.1 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.853 from 0.03.\nAnswer: 4.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a = -56*a + 12*a - 1711 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-1)\/(-1))*(-37)\/74?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.42 + 2.42. Which is the closest to q? (a) -0.1 (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j*j\/(j*j\/j**(1\/10)))\/j*j*j\/((j*((j**(4\/9)*j)\/j)\/j)\/j)*j*j*j*j*(j*j\/j**(-20\/9))\/j*j**(7\/2) assuming j is positive.\nAnswer: j**(602\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t - 30*t - 49*t + 1700 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670273158 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (4 + (-798)\/198)*109. Let i = 53\/55 + q. What is the common denominator of -50\/183 and i?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 33*l + 2516. Determine s(-76).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 228*j**3 + 15*j + 10039. Let y(f) = -228*f**3 - 18*f - 10041. Let a(o) = 5*t(o) + 4*y(o). Differentiate a(l) with respect to l.\nAnswer: 684*l**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/11*b**5 - 4\/11*b**2 - 18\/11*b + 10\/11 + 20\/11*b**3 - 6\/11*b**4 = 0. What is b?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2167473 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, y: 11}. What is prob of picking 3 r?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 25, 3*i = -2*k + 2*i + 53. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 22. Let u(n) = -n**2 - 5*n + 3. Let q be u(-6). Let x = -5 - q. Let d(a) be the third derivative of -a**3\/3 - a**2. Calculate x*f(p) + 22*d(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.10378\nAnswer: -0.41512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79.3 - -79. Which is the third biggest value? (a) j (b) -22 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**3 - 2*w**2 - 4*w + 8. Let i(g) = 4*g**3 - 3*g**2 - 4*g + 10. Calculate 2*i(p) - 3*k(p).\nAnswer: -p**3 + 4*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 + 25*t**2 - 24*t - 56. Let s be z(-13). Solve 84 = -o + s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - r**2 + 0)*(-2*r + 1 - 1) + 2*r**3 - 3*r**3 + 2*r**3 - 448 - 153*r**3 + 448)*(-37*r - 56*r + 14*r).\nAnswer: 11850*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1791901 weeks in seconds?\nAnswer: 108374.17248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 0, -2, -268 in decreasing order.\nAnswer: 5, 4, 0, -2, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 less than -46657836166?\nAnswer: -46657836166.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**3\/2 + d**2 + 23*d + 9. Let f be (-22)\/4 - (-1)\/2. Determine w(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*2 + sqrt(720) + sqrt(720) - (sqrt(20) + (sqrt(40)*-2)\/sqrt(2)))\/((1*sqrt(36) + sqrt(4))*5).\nAnswer: 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**3 + 148*p**2 - 124*p - 1177. Give u(-50).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, w: 3}. Give prob of sequence wwv.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17376 is divided by 8537?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 + 819 = 29*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 528348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 64211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-286066977409\nAnswer: -286066977409.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3022201 (base 4) to base 14.\nAnswer: 4a1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -157*b + 2258. Let k be j(13). Solve -253 = -9*h - k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-16))\/(11\/(-5544)*14))\/1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2. Let a(q) = 42*q**2 - 3522 + 3522 + 2*q. Let y(b) = 42*b**2 + 2*b. Let z(m) = -6*a(m) + 7*y(m). What is d(z(n))?\nAnswer: 1764*n**4 + 168*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8033657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1761749.56 rounded to the nearest 100?\nAnswer: -1761700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6442 and -0.1.\nAnswer: -644.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/((-1)\/1)*1. Suppose 114 - 26 = j*v. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 402.998102 + -403. Round s to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**4\/4 - 14*o**3\/3 - o**2\/2 + 19*o - 3. Let q be h(14). Suppose 3*c - q = 40. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/79 in 4\/5, -2.8, -9, -8?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 23.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/2436626 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 298 by -1430.\nAnswer: -149\/715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -48. Which is the nearest to -2\/5? (a) -0.1 (b) r (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2*b - 15 = 5*g, 0 = -g - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*q + 5197, 0*r - 6971 = -4*q + 3*r. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1374*y - 710. Let z(m) = 21*m - 1. Let r(f) = -2*p(f) + 18*z(f). Find the first derivative of r(w) wrt w.\nAnswer: -2370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1 + 1 - 2 + 2 + (1 + 0 + 0)*(1 - 2 + 0) + 3 - 1 - 4)*(-9*o**5 - 9*o**5 + 0*o**5).\nAnswer: 18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 150*z**3 + 17*z**2 - z + 19. Let f(i) = 50*i**3 + 6*i**2 - i + 6. Let l(r) = -3*d(r) + 8*f(r). Is l(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**3 - 4*r**4 + 5*r**3 - 3*r**3 - 1 to the form u*r**4 + l*r**2 + i*r**3 + a + f*r and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + 99. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**2*c**3 + 126*b**2*c + 31*b*c**4 + c**2 - c wrt c?\nAnswer: -18*b**2*c + 372*b*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/13 - 68*q**2\/13 - 462*q\/13 - 720\/13.\nAnswer: 2*(q - 40)*(q + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*x + 3)*(41665*x - 20980*x - 25211*x) as l*x**2 + h + n*x and give l.\nAnswer: 9052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 101663516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 15 + w - 5 - 3. Let z be m(-2). Solve -g = -5*s - 4*g - 40, -5*s = -z*g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 + 45. Which is smaller: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -662*y**2 - 17873*y + 78. Give s(-27).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 1. Let c(v) = v**2 + 3. Let f(q) = -2*q**2 - 7. Let y(t) = -5*c(t) - 2*f(t). Give -5*i(l) - 6*y(l).\nAnswer: l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61.8 + 35.8. Let u = -0.01 + 0.11. Which is smaller: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 2665064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 333561613*g**3 - 598043775*g**2 wrt g?\nAnswer: 2001369678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0 (b) 1.1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, c: 4, e: 8}. Give prob of sequence cc.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50231820 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 divided by 52498?\nAnswer: -81\/52498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 5*y = -8*g + 108, 247*y - 241*y - 4*g + 0*g + 36 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 318\/25, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -57*n + 20 + 8 - 10 - 124*n. Let i be y(8). What is i rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/129503 and 61\/44583.\nAnswer: 2719563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 69 = -16*t - 307 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u - 5. Let f(t) = 22*t - 14. Give 6*f(r) - 17*i(r).\nAnswer: 13*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvm when three letters picked without replacement from {v: 3, q: 4, g: 3, f: 2, u: 3, m: 1}?\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/19, 0, 1 in descending order.\nAnswer: 1, 9\/19, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-3))\/(1\/3). Let y = t + 0. What is the remainder when (y - 0)*18\/(-30) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -3*r**5\/10 + 7*r**4\/12 + 7*r**3\/6 - 7*r**2\/2 + 66*r. Let l(p) = -2*p**3 + 2*p**2 + 2*p - 2. Calculate 21*l(w) - 6*z(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 14 = -6*q + 4*q, 4*f = 2*q - 2. Let d(m) = 10*m. Let o be d(1). Let c = o - 7. Solve j = -c*g - 4*j + 6, 0 = f*g + 2*j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 786514?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8847, -0.4, -5, 4, 0 in ascending order.\nAnswer: -8847, -5, -0.4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = -3*h. Let g(s) = 5*s + 1. Let j be g(h). Suppose -a = -4*d + j, -8 = -2*a - 2*d + 10. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -164 + 293. Let x = y + -129.1. Is x at least as big as 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 12:25 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(112))\/sqrt(2))\/sqrt(8))**2 - (-1*sqrt(1008) - (sqrt(84) + 1*sqrt(84) + sqrt(84))\/sqrt(12)).\nAnswer: 7 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 408127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0454413157 rounded to 5 decimal places?\nAnswer: -0.04544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 = 3*u - 2*g - 323, -8*g + 116 = 2*u. Let -124\/7 + 2\/7*y**u - 58\/7*y = 0. What is y?\nAnswer: -2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13672 + -13659.806. What is r rounded to 1 dp?\nAnswer: 12.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 52 + 60. Which is the biggest value? (a) -2\/3 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 7*h**2 + 14*h - 11. Let f be c(5). Suppose f*z = 400 - 148. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.399+-0.1365161\nAnswer: 0.2624839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -790.02984 and 1.236.\nAnswer: -788.79384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, v: 2, q: 4, x: 8}. Give prob of picking 1 q, 1 y, 1 v, and 1 x.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-17))\/r**(2\/11)*(r**(2\/3)*r*r)**(1\/3))**(-18) assuming r is positive.\nAnswer: r**(-3704\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -829 - -489. Let t be ((-3)\/15)\/(4\/d). Put t, 2, 5 in descending order.\nAnswer: t, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 4*o + 2. Let u be h(-3). Let y be (-2 - u)*(6 - 7). Calculate the common denominator of 131\/12 and (y\/2)\/((-8)\/138).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3093 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 10*r**2 - 18*r - 49. Calculate the remainder when 156 is divided by o(12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/28 and 37\/5217155?\nAnswer: 146080340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38007 - -1?\nAnswer: -38006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011387916 to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*b**3 - 280*b**3 + 0 + 0 + 441*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 1. Let b(t) = 4*t - 6*t - 2*t. Let w be b(-1). Put w, -5, d in decreasing order.\nAnswer: w, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -51514, -206043, -463592, -824161, -1287750?\n\"Answer: -51510*u**2 + u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*v**5 + 2*v**4 + 1539090*v**2 + 78093226*v wrt v?\nAnswer: 160*v**3 + 24*v**2 + 3078180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -27*(40\/(-6) - -2). Suppose 2*u + f = 4*t, 0*u - u = -4*t + 125. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3) - (-415)\/15. Let a = t + -19. What is the remainder when 31 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 13*s**2 - 264*s + 2809. Determine b(10).\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 4*g + 5*v - 124, -g - 5*v + 31 = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:49 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2 - 158436*m - 950527. What is n(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17389675, -34779349, -52169013, -69558661, -86948287, -104337885?\nAnswer: -121727449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -294437 (base 12) to base 13.\nAnswer: -1b2b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 55, 1383923.\nAnswer: 0, 55, 1383923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1197378 and 67626.\nAnswer: 20355426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.045 + -2.465. Let n = -0.41 - w. Let u = -2 + n. What is the closest to -1\/5 in -0.2, u, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 2 (c) -9\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 27 = 8*l. Suppose -2*g + 43 = l. Suppose 4*b = w - g, 4*w + 6*b - b = 47. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 501*v + 40. Let s be 54\/(-12)*(52\/(-36) - -1). Is a(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*m**5 + 6\/7*m**4 + 0*m**3 + 0 - 8\/7*m**2 + 0*m = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -y - 7, -2*x - 5*y = -y. Let a be 11\/((-66)\/(-36)) + -3. Suppose 4*t = -4*f, -a*t + 5*t + 4 = 0. Solve u = x + f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42906194 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2955 + -2953. Let l(a) be the first derivative of 2 - 9\/2*a**x - 2\/3*a**3 + 0*a. Let o(r) = -r. What is l(o(s))?\nAnswer: -2*s**2 + 9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.11276 + -0.31276. Put -4\/9, -1\/8, a, -0.3, -1\/38 in increasing order.\nAnswer: -4\/9, -0.3, a, -1\/8, -1\/38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1846624 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 6*t**2 - 5*t + 2. Let m(j) = j**2 - j - 1. Let c be m(3). Let f be x(c). Is (25 - -4)\/(f\/14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 43 - 5*c**3 - 9*c**3.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -4*j + 7, 0*j = 5*c + 2*j - 21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 35. Let q be 5\/(-4) + (-1)\/(-4). Let l(p) = -2*p**3 - p**2 - 3*p + 2. Let v(i) = -i + 1. Calculate m*v(r) + q*l(r).\nAnswer: 2*r**3 + r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 43*j - 327. Let a be q(33). Solve 0 = -a*h + 11*h - 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1240839 and 445874814?\nAnswer: 1337624442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y + 124 - 124. Let s(k) = -9*k. Calculate s(r(h)).\nAnswer: 27*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2343, 2346, 2351, 2358, 2367, 2378, 2391?\n\"Answer: g**2 + 2342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - r - 1. Let g be b(-1). Let u = g - -2. Let p be (u + 1)*0 + 10. What is the greatest common divisor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u**2. Let l(f) = 178*f + 3*f**2 - 178*f. What is k(l(m))?\nAnswer: 63*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 319?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, a: 1, p: 2, k: 3, s: 3, o: 1}. Give prob of sequence aotp.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/9)\/((-2)\/(-36)). Suppose 0 = 5*y - 1 - v. Suppose d - y*s - 5 = -4*d, -d - 5 = -3*s. Solve 0 = 2*x - d*x - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -3*b + m, 2*m + 0 = 2. Let q = b + 20. Solve -2*y = 4*w - q*y + 27, -4*y = -w - 23 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286760670 a multiple of 2345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145822347 and 1089.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = y - 318. Suppose 12*d - y = 1498. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from {o: 14, m: 4}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25961.609*1.\nAnswer: -25961.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 168*i**3 + 5*i**2 - 3*i - 4. Let l be 1*(8\/(-32))\/((-1)\/8). Let s be w(l). Suppose 5*d - s = c - 200, 4*c = 4*d - 920. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -16d?\nAnswer: 16d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4734 and 1350.\nAnswer: 355050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1313 * 4\nAnswer: 5252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8*f - 26. Give o(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 9 + 12946*q - 25888*q + 12945*q.\nAnswer: 3*q - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 21*r**2 + 7*r. Let t(a) = -3*a + 156. Give t(l(k)).\nAnswer: -63*k**2 - 21*k + 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t + 231 - 5531. What is t rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 5*h + 3. Suppose 0 = -5*c - 23 + 8. Let o(l) = -l - 2 - l + 6*l. Let s(v) = c*o(v) - 2*y(v). Find the second derivative of s(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Suppose -i*z = 5*x - 25, 0 = -z + 5*x - x - 3. Solve -2 + 12 = z*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 12*g. Let z(l) = l - 1. Let r(a) = -1. Let v(b) = 2*r(b) - 2*z(b). Give u(v(i)).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.15 (b) -3\/8 (c) -0.1822\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -563 + 562. Let p(c) = -7*c**2 + 3*c + 1. Let t(r) = -r**2 + r. Give h*p(u) + 5*t(u).\nAnswer: 2*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -2\/25*g**5 + 1\/15*g**6 + 32 + 0*g**2 + 0*g - 2\/5*g**3 - 1\/2*g**4. Let n(w) = 0. What is w?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -128998.\nAnswer: 6\/64499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1269712 * -0.02.\nAnswer: -25394.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1932926.\nAnswer: 2, 966463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2383 (base 11) in base 6?\nAnswer: -22232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 4*x - 5. Let q be y(5). Suppose -5 = 2*i - 3*n - 28, q = -2*i + n + 13. Suppose -5*l - 86 = -2*c - 0*l, -c = i*l - 17. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -264 - -269. Let j be ((-1)\/2)\/((-2)\/4). Let c(i) = -i - 3 + j + 3. Let g(q) = 3*q - 4. What is s*c(w) + g(w)?\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r - 4. Let z be o(-2). Let j(i) = i**2 - 16 + z - 5*i + 15. Calculate j(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 9*b - 68 = 7*b, s = 3*b + 46. Solve -h - s = -39 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*7173733.\nAnswer: 43042398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 416*s - 416*s + s**4 + (2*s**4 - s**4 - 2*s**4)*(3 + 2 - 3) in the form u*s + d*s**3 + j*s**4 + c*s**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 23 = -16*a + 11*a, 4 = -4*a + 4*c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 15. Let f(o) = 8*o + 27. Let c be f(z). Let x be (-2)\/(-6) - (c\/(-15) - -3). Solve 3*w = -2*w - 3*a - x, 15 = 3*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -6 - (1 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1046318, 1046320, 1046322, 1046324?\n\"Answer: 2*t + 1046316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n + 2*n - 7*n)*(-3 + 3 + 2) + (-4 + 2 + 1)*(0*n - n + 0*n) + 3*n + 2*n - 3*n as k + j*n and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -45 + -1bfa89d?\nAnswer: -1bfa8e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 110192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3) - 10\/15. Suppose w*t = -t + 23. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -123, 3, -3\/2, 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) 867 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-12))\/(1\/(-49)*7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**3 + 8*k**2 + 5*k. Let b be -1 + (-3 - (-10)\/1). Let t = 69 + -74. Let x(u) = 4*u**3 + 7*u**2 + 4*u. Let l(c) = b*x(c) + t*n(c). Give l(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38800 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 494 divide 54176790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -766 = -213*v + 2429 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 + 39*p + 24. Let t be l(-19). Solve 3*s - 12 = t*w, -s + w - 9 = -11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195172*k**2 - 390269*k**2 + 195082*k**2.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48459 is divided by 12061?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 605289\/119350 + -1\/8525. Find the common denominator of o and 202\/(-4949) - -151*117\/(-2940).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -137905*i**3 - 1\/10*i**5 - 621952453\/10*i - 156520369\/5*i**2 - 310288733\/10 - 2033\/10*i**4.\nAnswer: -(i + 1)**2*(i + 677)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 + 43*c - 30. Let m be w(14). Let y be (m\/30)\/(2\/(-5)). What is the third biggest value in 3, -1, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 313632 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15a79 - 177?\nAnswer: -15c23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.4 + 0.9. Let x = 0.159 - -0.161. Let c = -0.02 + x. Put c, 0.51, s in ascending order.\nAnswer: s, c, 0.51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218000 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 378.4 + -326. What is r rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 - -127. Let y = 61 - w. Let m = 1.89 + 0.11. Which is the smallest value? (a) m (b) y (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1221 or 12631?\nAnswer: 1221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45775882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*41*(77\/(-7) - 5926\/4). Round v to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064489876 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 0*i**2 + 0*i**2 + 3*i**2 + 1 to v*i**2 + b + g*i and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjojjjjjyj. What is prob of sequence yjyj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8 - 0.2. Let y = -3 - x. Let j = 2485 - 2484. Which is the biggest value? (a) j (b) y (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (19 - -39) + -13 + 5. Solve -483*u + y = -508*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 825*j - 3 - 5 + 15 - 9 + 455*j.\nAnswer: 1280*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-33)\/w**(27\/7)*(w*w**(-3))\/w**2*w**11 assuming w is positive.\nAnswer: w**(-209\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25180?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 5, -0.12, -5910, -4?\nAnswer: -5910","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(84)*-1*6 - -2*sqrt(84)*6))\/((sqrt(60)*1)\/sqrt(5) - (sqrt(192) + sqrt(192) + (sqrt(192) + -3*sqrt(192) - sqrt(192) - sqrt(192)))).\nAnswer: 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 509321793 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 2:04 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.04 and 0.895146.\nAnswer: 5.935146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 10. Let f = 15 - 8. Give h(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 8*o**2 + 33*o - 213. Let q be w(9). Solve -q*f = g + 4, 2*g - 1 = -3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1160 = -12*m + 88. Solve -14*i = 12*i - m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**2 - 4*s**2 + 13*s**2 - 7*s**2. Let o(h) be the third derivative of -h**4\/24 + 3*h**2. Determine o(w(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z**5\/4 - 191*z**4\/4 - 234*z**3 - 63*z**2 = 0 for z.\nAnswer: -21, -6, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 7. What is the third biggest value in 2\/3, -1\/6, q, -6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(2 + 1 + -1). Let l(s) be the first derivative of -1 + 2\/3*s**3 + 0*s**2 - 1\/2*s**d + 0*s. What is the third derivative of l(w) wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9676 is divided by 210?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 465084 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453662 is divided by 3813.\nAnswer: 3728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-12)*(-576)\/(-108))\/(2\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swyvvvwvvvvgsvvywe. Give prob of picking 1 e and 2 y.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -118 - -118. Let a(f) be the third derivative of 0*f + 0*f**3 + 1\/40*f**4 + 1\/100*f**5 + v + 3*f**2. Factor a(w).\nAnswer: 3*w*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -89324*r**2 + 87851*r**2 + 2276 + 2536 - 162 - 179 wrt r?\nAnswer: -2946*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 953497?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1185336 divided by 1818\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8)\/t**(1\/10))**(6\/7)\/(((t*t\/(t\/(t\/t**5*t)*t))\/((t*(t\/t**1*t)\/t)\/t))\/(t**(-2\/21)*t*t\/t**(3\/5))) assuming t is positive.\nAnswer: t**(-277\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -7007.289?\nAnswer: -7002.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9021*k**4 + 9382?\nAnswer: -36084*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1992195326.\nAnswer: 2, 11, 643, 140831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 1. Let w be q(2). Let y = -0.3 + 0.1. Let c = 0.2 + y. What is the nearest to w in c, 4, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -134*m - 1203. Let z be k(-9). Calculate the greatest common factor of 939 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(1\/1))\/(52*(-22)\/(-5148)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318104 is divided by 6237?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 - -7)*294\/(-2). Let c = -94 + f. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2 + (-1 + 1 - 1)*(-3 + 3 + 1))*(o + o - 3*o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - (6 + -2))*-4. Let y(k) = k - 3. What is y(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 722.\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 148\/53 + -5415\/212. What is the common denominator of a and -113\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 181321 - 3226*d - 181321 to f + c*d and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 150 - 234.2. Let q = f + 77. Let c = -0.4 - q. Round c to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 111.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*b + 2. Suppose 0*q = 3*m + 2*q - 4, 5*q = -2*m - 1. Find the third derivative of -b*x**3 + 5*x**3 - 2*x**2 + 3*x**m - 2*x**2 wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 794630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -190*g**3 + 4*g**2 + 65*g - 26. Let y(i) = 65*i**3 - i**2 - 22*i + 8. Let s(w) = -4*q(w) - 13*y(w). What is the second derivative of s(b) wrt b?\nAnswer: -510*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 24 = 3*r - 27, 4*k - 5*r + 5 = 0. Solve k = -2*b - 35 + 45 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 0*g + g**2 + 0 + 1\/330*g**5 - 1\/66*g**4 + 0*g**3. Factor o(s).\nAnswer: 2*s*(s - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6 - 1.728. Let h = z + 0.045. Let v = h - -0.08300053. Round v to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -247*q**7\/210 - q**5\/60 + 3325*q**4\/24 - 30*q**2 - 6*q. Find the second derivative of f(k) wrt k.\nAnswer: -2964*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4\/6 - 2582582*x**3\/3 + 1482162461781*x**2 - 850624400061082314*x + 1701245835798962787\/2 = 0. Calculate x.\nAnswer: 1, 1721721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -9*o**5 - 597*o**4 - 13266*o**3 - 100188*o**2 - 31944*o = 0.\nAnswer: -22, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (80 + -76)*3\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5 = 10. Let n(z) = z**3 - 2*z**2 - 8*z - 2. Let p(l) = -l. Let h(g) = -n(g) + 5*p(g). Let c be h(s). Solve -f - 3 = -c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 5, -25, 3.\nAnswer: -25, 2\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 3*f**2 - 4*f - 17. Let l be r(0). Let n(j) = -29*j + 58. Is n(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 at most as big as 12931\/253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -160310 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2, -0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24502637 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 2 + 0)*1. Let p = -2 - -3. Let f = p + 2. What is the smallest value in b, f, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 204 = 4020. Suppose -8*a = -h - 768. Is 54 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 55*x**2 + 280*x - 300.\nAnswer: -5*(x - 2)**2*(x + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 plus -662299002115?\nAnswer: -662299002235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 888.1472 centuries?\nAnswer: 8881.472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, s: 3}. Give prob of picking 2 s and 2 f.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300*v - 2366 = 293*v. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/5)\/(3\/(-10)). Let i = 24 - n. What is the remainder when 31 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8410.152 to the nearest one hundred.\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 9 = 4*h - 2*o, 0 = h + 4*o + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95999 is divided by 620?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -595834 (base 13) to base 2.\nAnswer: -1000000111000001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(120)\/(1*sqrt(10) + sqrt(10)))\/(sqrt(4) + -2*sqrt(64) + sqrt(4)) + (sqrt(432) + 0)*2*4)**2.\nAnswer: -5755*sqrt(3)\/6 + 1326001\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 3*n + 27, b - 3*b - 10 = -4*n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2\/3 + 82*x\/3 = 0?\nAnswer: 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -7. Let x(c) = 91*c**2 + 6 + 0*c + 6*c - 90*c**2. Let h be x(-6). Solve l*a - 2*a = h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -6\/7 (b) -119 (c) -1.5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -473 (base 10) in base 13?\nAnswer: -2a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a centimeter in millimeters?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 1 - -8*1. Suppose -h = 3*u + 44. Let l = u - -25. Solve l*i - 2*i = 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 - -160. List the prime factors of (-2)\/(-8) - 2\/(a\/(-6680)).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5 = 4*g. Let n be (-1)\/(((-20)\/8)\/g). Suppose 1100 = 2*q - 3*v, -3*q + 1667 = n*v + 2*v. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a decade in months?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*i + 26*i + 4986 = -5364 for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 8:51 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 2*y - 2. Let f(w) = -2*w**2 - 3*w + 1. Let l(u) = -2*f(u) - 3*p(u). Calculate the remainder when 24 is divided by l(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9\/10 of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 352*j**4 - 2 + 5*j + 10 - 122*j**4 - 4*j + 10*j wrt j.\nAnswer: 2760*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 162?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -383?\nAnswer: 6\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13709267 and -12.\nAnswer: -13709279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29\/8 - 13\/4. What is the biggest value in t, -0.1, -7, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727670459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100 + 98. Let k be ((-4)\/6)\/(1\/(-3)). Suppose 0 = -5*h + 2*h - 5*r + k, -2*r = -2. Does t = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(7200) - (sqrt(50) + sqrt(450)*6))\/((sqrt(120) - (sqrt(120)*2 - sqrt(120))*5)\/sqrt(12)).\nAnswer: -5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-3))\/((-4)\/(-2)). What is the third derivative of -3*b**5 - 2*b**p - 2*b**2 + 5*b**2 wrt b?\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 680*o**2 - 2*o - 837*o**3 - 2025*o**2 + 675*o**2 + 1 + 672*o**2 + o - o**4 in the form t + z*o + b*o**4 + d*o**3 + m*o**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 2752*a**7\/7 + a**4\/2 + 29*a**3\/3 + 135*a - 6942. What is the third derivative of u(o) wrt o?\nAnswer: 330240*o**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 6:41 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 3*t - t)*(2*t - 2*t + t**2) + 2*t**3 - 4*t**3 + 4*t**3 - t**3 - 3 + 3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*-2*2)\/((sqrt(132) - sqrt(132)*1 - sqrt(132))\/sqrt(11)))\/(4*(-2*sqrt(108) + sqrt(108) + sqrt(108)) - -2*sqrt(108)*-5).\nAnswer: -sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 0.5, -4, 0, -35 in increasing order.\nAnswer: -35, -4, -0.6, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 - -0.11. Let m = j + 0.41. What is m rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -246 + 259. Suppose -u - d = -278, -d = n*u - 9*u - 1097. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 12:32 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -dc575 (base 14) to base 10\nAnswer: -533419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2376*s - 7107*s + 2378*s + 2355*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 79, 370, -485 in descending order.\nAnswer: 370, 79, -5, -485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1222, -2602, -3986, -5374?\n\"Answer: -2*s**2 - 1374*s + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/7)\/(h\/(h*h**(-6))))\/(h\/(h*h**1\/h))**(3\/4))\/((h*h**(-2\/7))**(-4\/29)*(h**(-4)\/h*h)\/((h*h*h**(-2\/21))\/h)) assuming h is positive.\nAnswer: h**(-694\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -17*i + 10*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*m + 37 = -29*m. Suppose -36*g + m*g - 29 = 0. What is the remainder when g is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**3 + 2. Let y(s) = -s**3. Let p = 12 + -9. Let f(m) = -m**3 + 9*m**2 + 12*m - 21. Let t be f(10). Give p*y(z) + t*w(z).\nAnswer: z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7194)\/(-54) - 2\/9. Suppose 7*s = 14*s - 133. What is the highest common divisor of s and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5402693 is divided by 270?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32\/39 + -2\/3. Let m(w) = -w**2 - 6*w - 1. Let x be m(-6). Let i be (-1)\/1*3\/((-3)\/x). What is the nearest to 1 in v, i, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/9 + 975522*m**2 - 23412544*m\/3 + 140475296\/9 = 0. Calculate m.\nAnswer: -8779706, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 5*v - 15. Let t(w) = -w**2 + 3*w - 8. Let h(g) = 3*r(g) - 5*t(g). What is the derivative of h(y) wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 31 - 37 = -4*y, 0 = 3*p + 3*y - 42. Let q(n) = n + 1. Let s be q(3). Let u be s - 2\/(-4)*-8. Solve u = 5*w - w + p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-five halves of a minute?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-24))\/1*(-4)\/(-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2 = 23*r + 178 - 83, -u = -5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2\/51, 6\/5, 0.01, -1, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*b**3 - 7*b**3 + 21*b**3 - b**2 - 4*b**2 to the form m + j*b**2 + r*b**3 + k*b and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -90, -233, -374, -507, -626, -725, -798?\n\"Answer: m**3 - 5*m**2 - 135*m + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136*r**2 - 3 - 178*r**2 + 3)*(-3*r - 3 + 3).\nAnswer: 126*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -102, -198, -332, -504, -714, -962?\nAnswer: -1248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0048194667 to six dps.\nAnswer: -0.004819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.1 (c) 1 (d) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101 and 151702.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -45. Calculate the highest common divisor of r and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrr when three letters picked without replacement from {d: 2, r: 2, o: 1, l: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29497, -29274, -28897, -28366, -27681?\n\"Answer: 77*x**2 - 8*x - 29566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 18 + 22. Solve 0 = -4*n - 2 - s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j - 3. Let w(p) = 9*p - 6. Let r(x) = -x**2 + 9*x + 10. Let n be r(10). Suppose -l + 8 - 1 = n. Let a(v) = l*g(v) - 4*w(v). Determine a(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 + 8 - 8 + j + (2*j - 2*j + 2*j)*(0*j - 2*j + 0*j).\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/4*((-25)\/5)\/30?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 604*q**5 - 2*q**4 - 666*q**2 wrt q?\nAnswer: 36240*q**2 - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 + 1024 = -207*t + 1 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 6*u - 24. Let i be 0 - u\/(-1 - 3). Suppose 0 = 4*w + 2*c - 196, 0*c + i*c = -w + 44. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -430 by -185.\nAnswer: 86\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 5*t - 4 = 0. Let d(q) = -6*q + t*q - 4*q. Let u(w) be the third derivative of -w**4\/24 + w**2. Calculate d(g) - 6*u(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 21 = -5*b + 58, -2*u + 158 = -b. Put 3, 1, u in decreasing order.\nAnswer: u, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*p - 77758, -p - 7*m + 12*m = -15556. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 2 + (-96 - -111).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7762*r = -7755*r - 18249. Is 33 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -26 + -1 - (0 - -13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8*n)**26 assuming n is positive.\nAnswer: n**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/(6 - 12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 5)*(4 - 4 - 2)*(2*v - 3*v + 3*v) as x + a*v and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -24. Let j(o) = -3*o. Let r(b) = -3*b. Determine x*r(h) - 2*j(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -7487394\/7 > -1069628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -85 - 4?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -15, -62, -159, -324?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53381*s**2 - 41899.\nAnswer: -106762*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3923301 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 8*d**2 + 9*d - 201. Calculate the remainder when 857 is divided by g(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 13*q**2 + q. Let b be i(-2). Let x(c) = 4*c**2 + c - 5. Let u be x(5). Suppose -y + 6*y = u. What is the highest common divisor of y and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 899*c. Let i(f) = 49*f**2 + 206. Determine i(y(r)).\nAnswer: 39601849*r**2 + 206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z + 47. Let a be s(-18). Suppose -25692 = -a*r + 19221. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 5*y - 192 + 162 = 0, -6 = -2*f + y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.19, 25, 2\/11, -3, -12\/11, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + -7. Let p be (-12)\/(-9)*q\/(-225). Is 0 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**3 - 4*c**3 - 7*c**3 + 13*c**3.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(704))**2 - (sqrt(704)*-1 + -1).\nAnswer: 8*sqrt(11) + 1409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1189493 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382 + 121 = -22*z - 19 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x**2 + 6*x**2 - 29*x**2 + 5*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 192134683 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 755 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: Put 17, 1, 63 in increasing order.\nAnswer: 1, 17, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 162648207?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 261*o**2 - 4712*o + 878600. Determine c(256).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7 + 1356*j**2 + 2228*j**3 - 2350*j**3 - 5*j**4 + j**4 + 8 wrt j.\nAnswer: -96*j - 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 5, b: 5, d: 5}. What is prob of picking 2 b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, e: 1, d: 7, f: 9}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -59? (a) -5 (b) 5 (c) -1\/4 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138576357?\nAnswer: 3, 23, 669451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 23850.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 859816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -490 divided by -66?\nAnswer: 245\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001101110 (base 2) to base 12.\nAnswer: -1666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -172\/3*r**3 + 24*r + 0 + 7\/2*r**2. Is z(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 c, and 1 q when three letters picked without replacement from ddddcdddqdqqdkcccd.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -1\/3*t**3 - 1\/120*t**6 + 1\/30*t**5 + 0*t + 0*t**4 + 4*t**2 + 0. Let x(i) = i + 1. Let w be x(1). Determine a(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(3*k - 3 - 3 + 4).\nAnswer: -3*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/7 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -r + 50. Suppose -3*t + 7*t = 3*g + 91, -t = -g - r. Let i = g + 84. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*c = 1008, -155 = 5*z - 5*c - 1415. Suppose 9*x - z = -0*x. Calculate the greatest common factor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -9191*v + 459557. Calculate s(50).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 46*h + 165. What is s(-8)?\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x**2 - 23*x - 113. Suppose 0 = 4*q - 16*q + 708. What is the remainder when m(-4) is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1*((-9)\/(-9) + 22228)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -209 or -212?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 8*p**2 - 7*p + 4. Let w be v(-7). Suppose 3*q + 2*s = 6*q + w, -4*s = 4. Let m = -9 + 8.3. Which is greater: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*u = -d - 25, 0 = -3*d - 4*u + 34. Let y = d - 1. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 4*o**2 - 3*o - 6. Let a be f(5). What is the third derivative of 33*i**2 - i**4 - 14*i**a + 0*i**4 + 0*i**2 wrt i?\nAnswer: -360*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2571787.3 less than 14974?\nAnswer: 2586761.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3434, 7075, 10922, 14975, 19234, 23699?\n\"Answer: 103*l**2 + 3332*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**3 + 2*d**3 - 4*d**3)*(-5 + 2 + 2 - 1 + 0 + 2 + (-1 + 15 + 2)*(-3 + 5 + 1)).\nAnswer: 96*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + 1 - (-31 + -7 - -30).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2691 + 2683. Which is smaller: 8 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81725980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/17 (b) 0.4 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1370*v - 308*v - 357*v + 336*v.\nAnswer: -1699*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 + 28*a**2 - 30*a + 75. What is u(-12)?\nAnswer: -717","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l - 41*l - 2*l - 3*l + 53*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 15) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**5\/5 + 4*p**4 + p**2 - 96*p + 178. Find the second derivative of i(m) wrt m.\nAnswer: 12*m**2 + 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 9*h**2 + 6*h - 4. Let d = 9 + 0. What is the tens digit of a(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}